signature
stringlengths
16
32
problem_type
stringclasses
12 values
optimization_type
stringclasses
3 values
graph
stringlengths
52
2.28k
solution
stringlengths
235
4.05k
cost_hamiltonian
stringlengths
11
5.66k
ansatz_id
int64
1
18
number_of_qubits
int64
1
16
number_of_layers
int64
1
4
exact_solution
stringlengths
128
2.57k
circuit_with_params
stringlengths
106
17.5k
circuit_with_symbols
stringlengths
146
19.5k
problem_specific_attributes
stringclasses
116 values
adaptive_process
stringlengths
33
186k
3ab147cc948c972495cc9d6b1a04d6d2
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]}
{"states": [7, 39], "expectation_value": -1.4903239991058301, "params": [0.0021000000000000003, 0.0037, 1.6009, 0.0082, 0.5405, 0.0051, 0.5259, 0.001, 1.6123, 0.0097, 1.6136000000000001, 0.0091, 1.6111, 0.0033, 0.0008, 0.0041, 0.0023, 0.0013000000000000002, 0.0005, 0.0073, 0.0001], "bitstrings": ["1111000", "1011000"], "total_optimization_steps": 160, "probabilities": [0.059313227562422466, 0.06299577383503631], "optimization_time": 4.991940498352051}
0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(4) @ Z(0) @ Z(1)) + -0.0625 * (Z(0) @ Z(5) @ Z(1)) + -0.0625 * (Z(6) @ Z(0) @ Z(1)) + -0.0625 * (Z(4) @ Z(0) @ Z(5)) + -0.0625 * (Z(6) @ Z(0) @ Z(4)) + -0.0625 * (Z(6) @ Z(0) @ Z(5)) + -0.0625 * (Z(4) @ Z(5) @ Z(1)) + -0.0625 * (Z(6) @ Z(4) @ Z(1)) + -0.0625 * (Z(6) @ Z(5) @ Z(1)) + -0.0625 * (Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(0) @ Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(0) @ Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(0) @ Z(4) @ Z(5)) + 0.0625 * (Z(5) @ Z(6) @ Z(4) @ Z(1)) + -0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(1) @ Z(6)) + 0.5 * (Z(6) @ Z(2)) + -0.5625 * Z(0) + -0.0625 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.0625 * Z(4) + -0.0625 * Z(5) + -0.0625 * Z(6)
18
7
1
{"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1011000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; rx(0.0021) q[0]; rz(0.0037) q[0]; rx(1.6009) q[1]; rz(0.0082) q[1]; rx(0.5405) q[2]; rz(0.0051) q[2]; rx(0.5259) q[3]; rz(0.001) q[3]; rx(1.6123) q[4]; rz(0.0097) q[4]; rx(1.6136) q[5]; rz(0.0091) q[5]; rx(1.6111) q[6]; rz(0.0033) q[6]; crz(0.0008) q[6], q[0]; crz(0.0001) q[5], q[6]; crz(0.0073) q[4], q[5]; crz(0.0005) q[3], q[4]; crz(0.0013) q[2], q[3]; crz(0.0023) q[1], q[2]; crz(0.0041) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; crz(x14) q[6], q[0]; crz(x15) q[5], q[6]; crz(x16) q[4], q[5]; crz(x17) q[3], q[4]; crz(x18) q[2], q[3]; crz(x19) q[1], q[2]; crz(x20) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
-2180152617687465947
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 9], [3, 6], [0, 2, 4, 6, 9], [1, 6, 9, 10, 11], [0, 1, 5, 8, 10, 11]]}
{"states": [3641, 3645], "expectation_value": -1.2526377087945146, "params": [[[0.002, -0.0028], [3.1439000000000004, 0.0018000000000000002], [0.0025, 3.1448], [-0.0023, 3.1381], [-0.0024000000000000002, -0.0029000000000000002], [-1.3303, 0.028900000000000002], [0.0029000000000000002, 3.1083000000000003], [-0.0024000000000000002, 0.0022], [-2.979, 2.9902], [1.6442, 0.8962], [-0.0032, -0.8588], [3.144, 3.1383]]], "bitstrings": ["000111000110", "000111000010"], "total_optimization_steps": 440, "probabilities": [0.29387616958029006, 0.3167048221643708], "optimization_time": 27.82874059677124}
0.05714285714285714 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(4) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(1)) + 0.05714285714285714 * (Z(5) @ Z(0)) + 0.023809523809523808 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(5)) + 0.05714285714285714 * (Z(8) @ Z(1)) + 0.05714285714285714 * (Z(8) @ Z(0)) + 0.023809523809523808 * (Z(8) @ Z(4)) + 0.05714285714285714 * (Z(8) @ Z(5)) + 0.023809523809523808 * (Z(8) @ Z(7)) + 0.07380952380952381 * (Z(9) @ Z(1)) + 0.07380952380952381 * (Z(9) @ Z(0)) + 0.07380952380952381 * (Z(9) @ Z(4)) + 0.023809523809523808 * (Z(9) @ Z(5)) + 0.023809523809523808 * (Z(9) @ Z(7)) + 0.023809523809523808 * (Z(9) @ Z(8)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(9)) + 0.5 * (Z(3) @ Z(6)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(9)) + 0.05 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(10) @ Z(1)) + 0.03333333333333333 * (Z(10) @ Z(0)) + 0.03333333333333333 * (Z(10) @ Z(5)) + 0.03333333333333333 * (Z(10) @ Z(8)) + 0.05 * (Z(10) @ Z(9)) + 0.05 * (Z(10) @ Z(6)) + 0.08333333333333334 * (Z(11) @ Z(1)) + 0.03333333333333333 * (Z(11) @ Z(0)) + 0.03333333333333333 * (Z(11) @ Z(5)) + 0.03333333333333333 * (Z(11) @ Z(8)) + 0.05 * (Z(11) @ Z(9)) + 0.05 * (Z(11) @ Z(6)) + 0.08333333333333334 * (Z(11) @ Z(10)) + 0.25476190476190474 * Z(1) + 0.25476190476190474 * Z(0) + 0.17142857142857137 * Z(4) + 0.15476190476190477 * Z(5) + 0.07142857142857142 * Z(7) + 0.15476190476190477 * Z(8) + 0.27142857142857135 * Z(9) + 0.20000000000000018 * Z(6) + 0.0 * Z(3) + 0.1 * Z(2) + 0.18333333333333335 * Z(10) + 0.18333333333333335 * Z(11)
15
12
1
{"smallest_eigenvalues": [-1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -1.2904761904761906, "smallest_bitstrings": ["100100000101", "100100000110", "100100010010", "000111000001", "000110001010", "000111000010", "000110001001", "011110000010", "000101000110", "011110000001", "100110000001", "100110000010", "000110010011", "001101000101", "001101000110", "000101000101", "010110000001", "010110000010", "100100010001", "001110010011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; ry(0.002) q[0]; ry(3.1439) q[1]; ry(0.0025) q[2]; ry(-0.0023) q[3]; ry(-0.0024) q[4]; ry(-1.3303) q[5]; ry(0.0029) q[6]; ry(-0.0024) q[7]; ry(-2.979) q[8]; ry(1.6442) q[9]; ry(-0.0032) q[10]; ry(3.144) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.0028) q[0]; ry(0.0018) q[1]; ry(3.1448) q[2]; ry(3.1381) q[3]; ry(-0.0029) q[4]; ry(0.0289) q[5]; ry(3.1083) q[6]; ry(0.0022) q[7]; ry(2.9902) q[8]; ry(0.8962) q[9]; ry(-0.8588) q[10]; ry(3.1383) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x4) q[7]; ry(x7) q[8]; ry(x8) q[9]; ry(x9) q[10]; ry(x10) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; ry(x22) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
null
{"circuits": [], "gradients": []}
a7fbc66e4dd2789fb7960f2eaa128bd5
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 6, "target": 8}, {"source": 6, "target": 10}, {"source": 7, "target": 10}, {"source": 8, "target": 10}, {"source": 9, "target": 10}]}
{"states": [1023, 888], "expectation_value": -0.11141815119030561, "params": [[0.0145], [-0.0142]], "bitstrings": ["0000000000", "0010000111"], "total_optimization_steps": 10, "probabilities": [0.0010096918825775593, 0.0010112437514875306], "optimization_time": 17.022861003875732}
-2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -2.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(3) + -2.0 * Z(2) + -1.0 * Z(7) + 1.0 * Z(8) + 1.0 * Z(9)
5
10
1
{"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["0010000111"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; h q[9]; cx q[1], q[0]; rz(-0.0725) q[0]; cx q[1], q[0]; cx q[1], q[4]; rz(0.029) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.058) q[4]; cx q[0], q[4]; cx q[1], q[5]; rz(-0.087) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.0725) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(-0.0725) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(-0.058) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.0145) q[6]; cx q[0], q[6]; cx q[5], q[6]; rz(0.0145) q[6]; cx q[5], q[6]; cx q[1], q[3]; rz(0.0145) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0145) q[3]; cx q[0], q[3]; cx q[4], q[3]; rz(0.0145) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(-0.0725) q[3]; cx q[5], q[3]; cx q[2], q[7]; rz(-0.0725) q[7]; cx q[2], q[7]; cx q[2], q[8]; rz(-0.0725) q[8]; cx q[2], q[8]; cx q[7], q[8]; rz(0.0145) q[8]; cx q[7], q[8]; cx q[2], q[9]; rz(-0.0725) q[9]; cx q[2], q[9]; cx q[7], q[9]; rz(0.0145) q[9]; cx q[7], q[9]; cx q[8], q[9]; rz(0.0145) q[9]; cx q[8], q[9]; rz(0.0145) q[1]; rz(0.0145) q[0]; rz(0.0145) q[4]; rz(0.0145) q[5]; rz(0.0145) q[6]; rz(0.0145) q[3]; rz(-0.058) q[2]; rz(-0.029) q[7]; rz(0.029) q[8]; rz(0.029) q[9]; h q[0]; rz(-0.0284) q[0]; h q[0]; h q[1]; rz(-0.0284) q[1]; h q[1]; h q[2]; rz(-0.0284) q[2]; h q[2]; h q[3]; rz(-0.0284) q[3]; h q[3]; h q[4]; rz(-0.0284) q[4]; h q[4]; h q[5]; rz(-0.0284) q[5]; h q[5]; h q[6]; rz(-0.0284) q[6]; h q[6]; h q[7]; rz(-0.0284) q[7]; h q[7]; h q[8]; rz(-0.0284) q[8]; h q[8]; h q[9]; rz(-0.0284) q[9]; h q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[10] c; qubit[10] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; h q[9]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x2) q[4]; cx q[0], q[4]; cx q[1], q[5]; rz(x3) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x2) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x4) q[6]; cx q[0], q[6]; cx q[5], q[6]; rz(x4) q[6]; cx q[5], q[6]; cx q[1], q[3]; rz(x4) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x4) q[3]; cx q[0], q[3]; cx q[4], q[3]; rz(x4) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; cx q[7], q[8]; rz(x4) q[8]; cx q[7], q[8]; cx q[2], q[9]; rz(x0) q[9]; cx q[2], q[9]; cx q[7], q[9]; rz(x4) q[9]; cx q[7], q[9]; cx q[8], q[9]; rz(x4) q[9]; cx q[8], q[9]; rz(x4) q[1]; rz(x4) q[0]; rz(x4) q[4]; rz(x4) q[5]; rz(x4) q[6]; rz(x4) q[3]; rz(x2) q[2]; rz(x5) q[7]; rz(x1) q[8]; rz(x1) q[9]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; h q[8]; rz(x6) q[8]; h q[8]; h q[9]; rz(x6) q[9]; h q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"node": 8}
{"circuits": [], "gradients": []}
8591281054201604876
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3], [1, 5], [3, 4], [0, 6]]}
{"states": [86, 116], "expectation_value": -0.4437475055770835, "params": [[0.28290000000000004], [-0.28700000000000003]], "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 30, "probabilities": [0.017233180508484273, 0.017233180508484273], "optimization_time": 1.29353666305542}
0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6)
1
7
1
{"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0001011", "0101001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(0.0943) q[0]; cx q[2], q[0]; cx q[2], q[3]; rz(0.0943) q[3]; cx q[2], q[3]; cx q[0], q[3]; rz(0.0943) q[3]; cx q[0], q[3]; cx q[5], q[1]; rz(0.2829) q[1]; cx q[5], q[1]; cx q[3], q[4]; rz(0.2829) q[4]; cx q[3], q[4]; cx q[0], q[6]; rz(0.2829) q[6]; cx q[0], q[6]; rz(0.0943) q[2]; rz(0.0943) q[0]; rz(0.0943) q[3]; rz(0) q[5]; rz(0) q[1]; rz(0) q[4]; rz(0) q[6]; h q[0]; rz(-0.574) q[0]; h q[0]; h q[1]; rz(-0.574) q[1]; h q[1]; h q[2]; rz(-0.574) q[2]; h q[2]; h q[3]; rz(-0.574) q[3]; h q[3]; h q[4]; rz(-0.574) q[4]; h q[4]; h q[5]; rz(-0.574) q[5]; h q[5]; h q[6]; rz(-0.574) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[5], q[1]; rz(x1) q[1]; cx q[5], q[1]; cx q[3], q[4]; rz(x1) q[4]; cx q[3], q[4]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; rz(x0) q[2]; rz(x0) q[0]; rz(x0) q[3]; rz(x2) q[5]; rz(x2) q[1]; rz(x2) q[4]; rz(x2) q[6]; h q[0]; rz(x3) q[0]; h q[0]; h q[1]; rz(x3) q[1]; h q[1]; h q[2]; rz(x3) q[2]; h q[2]; h q[3]; rz(x3) q[3]; h q[3]; h q[4]; rz(x3) q[4]; h q[4]; h q[5]; rz(x3) q[5]; h q[5]; h q[6]; rz(x3) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
dc8ac5f82febba9dcace181eb5c76eb3
edge_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]}
{"states": [58, 102], "expectation_value": -0.04824714892341368, "params": [[0.066], [-0.050100000000000006]], "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008490532750774729, 0.008490532750774729], "optimization_time": 3.2506103515625}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(1) @ Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.25 * Z(0) + 0.125 * Z(1) + -0.25 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -1.0 * Z(6)
1
7
1
{"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(0.033) q[0]; cx q[1], q[0]; cx q[2], q[0]; rz(0.033) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(0.033) q[1]; cx q[2], q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(-0.033) q[0]; cx q[1], q[0]; cx q[2], q[1]; cx q[3], q[0]; rz(0.066) q[0]; cx q[3], q[0]; cx q[3], q[1]; rz(0.0165) q[1]; cx q[3], q[1]; cx q[1], q[4]; rz(0.0165) q[4]; cx q[1], q[4]; cx q[5], q[1]; rz(0.0165) q[1]; cx q[5], q[1]; cx q[3], q[4]; rz(0.0165) q[4]; cx q[3], q[4]; cx q[5], q[3]; rz(0.0165) q[3]; cx q[5], q[3]; cx q[5], q[4]; rz(0.0165) q[4]; cx q[5], q[4]; cx q[3], q[1]; cx q[1], q[4]; rz(-0.0165) q[4]; cx q[1], q[4]; cx q[3], q[1]; cx q[5], q[3]; cx q[3], q[1]; rz(-0.0165) q[1]; cx q[3], q[1]; cx q[5], q[3]; cx q[5], q[1]; cx q[1], q[4]; rz(-0.0165) q[4]; cx q[1], q[4]; cx q[5], q[1]; cx q[5], q[3]; cx q[3], q[4]; rz(-0.0165) q[4]; cx q[3], q[4]; cx q[5], q[3]; cx q[5], q[3]; cx q[3], q[1]; cx q[1], q[4]; rz(0.0165) q[4]; cx q[1], q[4]; cx q[3], q[1]; cx q[5], q[3]; cx q[2], q[4]; rz(0.066) q[4]; cx q[2], q[4]; cx q[5], q[6]; rz(0.066) q[6]; cx q[5], q[6]; rz(-0.033) q[0]; rz(0.0165) q[1]; rz(-0.033) q[2]; rz(-0.0165) q[3]; rz(-0.0165) q[4]; rz(-0.0165) q[5]; rz(-0.132) q[6]; h q[0]; rz(-0.1002) q[0]; h q[0]; h q[1]; rz(-0.1002) q[1]; h q[1]; h q[2]; rz(-0.1002) q[2]; h q[2]; h q[3]; rz(-0.1002) q[3]; h q[3]; h q[4]; rz(-0.1002) q[4]; h q[4]; h q[5]; rz(-0.1002) q[5]; h q[5]; h q[6]; rz(-0.1002) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(x1) q[0]; cx q[1], q[0]; cx q[2], q[1]; cx q[3], q[0]; rz(x2) q[0]; cx q[3], q[0]; cx q[3], q[1]; rz(x3) q[1]; cx q[3], q[1]; cx q[1], q[4]; rz(x3) q[4]; cx q[1], q[4]; cx q[5], q[1]; rz(x3) q[1]; cx q[5], q[1]; cx q[3], q[4]; rz(x3) q[4]; cx q[3], q[4]; cx q[5], q[3]; rz(x3) q[3]; cx q[5], q[3]; cx q[5], q[4]; rz(x3) q[4]; cx q[5], q[4]; cx q[3], q[1]; cx q[1], q[4]; rz(x4) q[4]; cx q[1], q[4]; cx q[3], q[1]; cx q[5], q[3]; cx q[3], q[1]; rz(x4) q[1]; cx q[3], q[1]; cx q[5], q[3]; cx q[5], q[1]; cx q[1], q[4]; rz(x4) q[4]; cx q[1], q[4]; cx q[5], q[1]; cx q[5], q[3]; cx q[3], q[4]; rz(x4) q[4]; cx q[3], q[4]; cx q[5], q[3]; cx q[5], q[3]; cx q[3], q[1]; cx q[1], q[4]; rz(x3) q[4]; cx q[1], q[4]; cx q[3], q[1]; cx q[5], q[3]; cx q[2], q[4]; rz(x2) q[4]; cx q[2], q[4]; cx q[5], q[6]; rz(x2) q[6]; cx q[5], q[6]; rz(x1) q[0]; rz(x3) q[1]; rz(x1) q[2]; rz(x4) q[3]; rz(x4) q[4]; rz(x4) q[5]; rz(x5) q[6]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
7e799239f8573f120a2c5e15cda2e88f
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]}
{"states": [7, 14], "expectation_value": -0.06147690108384779, "params": [[-0.0635], [0.076]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.03337606546004163, 0.033926446075190256], "optimization_time": 0.7294845581054688}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4)
1
5
1
{"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; cx q[2], q[0]; rz(-0.0635) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(-0.0635) q[3]; cx q[0], q[3]; cx q[0], q[1]; rz(-0.0635) q[1]; cx q[0], q[1]; cx q[1], q[4]; rz(-0.0635) q[4]; cx q[1], q[4]; rz(0) q[2]; rz(0.127) q[0]; rz(0) q[3]; rz(0.0635) q[1]; rz(0) q[4]; h q[0]; rz(0.152) q[0]; h q[0]; h q[1]; rz(0.152) q[1]; h q[1]; h q[2]; rz(0.152) q[2]; h q[2]; h q[3]; rz(0.152) q[3]; h q[3]; h q[4]; rz(0.152) q[4]; h q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[0], q[1]; rz(x0) q[1]; cx q[0], q[1]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; rz(x1) q[2]; rz(x2) q[0]; rz(x1) q[3]; rz(x3) q[1]; rz(x1) q[4]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
null
{"circuits": [], "gradients": []}
ceba285572e61720bd2865b4542d41ef
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": 4, "target": 8}, {"source": 5, "target": 6}, {"source": 6, "target": 8}, {"source": 7, "target": 8}, {"source": 9, "target": 11}, {"source": 9, "target": 12}, {"source": 10, "target": 11}, {"source": 10, "target": 12}, {"source": 11, "target": 12}]}
{"states": [4092, 4088], "expectation_value": -27.393309030724318, "params": [[[-0.0023, -3.1433], [-0.002, -0.002], [-0.0019, 0.0019], [-0.0029000000000000002, -0.002], [-0.0028, -0.0032], [-0.0031000000000000003, -0.0029000000000000002], [0.002, -0.0025], [-0.003, -0.0025], [-0.0026000000000000003, -0.0028], [1.6524, -0.0015], [0.201, 0.1311], [-0.0025, -2.0161000000000002]]], "bitstrings": ["000000000011", "000000000111"], "total_optimization_steps": 470, "probabilities": [0.3264540183581477, 0.37813811436411926], "optimization_time": 16.29304575920105}
-2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) + -1.5 * Z(11) + -1.5 * Z(9) + -1.5 * Z(10)
15
12
1
{"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000111"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; ry(-0.0023) q[0]; ry(-0.002) q[1]; ry(-0.0019) q[2]; ry(-0.0029) q[3]; ry(-0.0028) q[4]; ry(-0.0031) q[5]; ry(0.002) q[6]; ry(-0.003) q[7]; ry(-0.0026) q[8]; ry(1.6524) q[9]; ry(0.201) q[10]; ry(-0.0025) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-3.1433) q[0]; ry(-0.002) q[1]; ry(0.0019) q[2]; ry(-0.002) q[3]; ry(-0.0032) q[4]; ry(-0.0029) q[5]; ry(-0.0025) q[6]; ry(-0.0025) q[7]; ry(-0.0028) q[8]; ry(-0.0015) q[9]; ry(0.1311) q[10]; ry(-2.0161) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x12) q[0]; ry(x1) q[1]; ry(x13) q[2]; ry(x1) q[3]; ry(x14) q[4]; ry(x3) q[5]; ry(x11) q[6]; ry(x11) q[7]; ry(x4) q[8]; ry(x15) q[9]; ry(x16) q[10]; ry(x17) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"node": 11}
{"circuits": [], "gradients": []}
15a5f37f6b324be94a7fa874923284e5
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target": 6}, {"source": 7, "target": 5}]}
{"states": [21, 7], "expectation_value": -13.418284572614745, "params": [[0.0409, 0.018600000000000002, 0.009300000000000001], [-0.0698, -0.06520000000000001, -0.054200000000000005]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010894916640828495, 0.011468279910591852], "optimization_time": 10.146687269210815}
2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 2.75 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.25 * Z(3) + -7.25 * Z(4) + -6.5 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)
16
8
3
{"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(0.2249) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.2249) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.2249) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.2249) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.2249) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.2249) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.2249) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.2249) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.2249) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.2249) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(0.2454) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.2249) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.2454) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.2454) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.2249) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(0.2454) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.2454) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.2454) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.2249) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.2454) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(0.2454) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(0.2454) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.2454) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.2454) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.2454) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.2454) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(0.2454) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(0.2249) q[5]; cx q[7], q[5]; rz(-0.5726) q[1]; rz(-0.593) q[0]; rz(-0.5726) q[2]; rz(-0.593) q[3]; rz(-0.593) q[4]; rz(-0.5317) q[6]; rz(-0.5317) q[7]; rz(-0.5112) q[5]; h q[0]; rz(-0.1396) q[0]; h q[0]; h q[1]; rz(-0.1396) q[1]; h q[1]; h q[2]; rz(-0.1396) q[2]; h q[2]; h q[3]; rz(-0.1396) q[3]; h q[3]; h q[4]; rz(-0.1396) q[4]; h q[4]; h q[5]; rz(-0.1396) q[5]; h q[5]; h q[6]; rz(-0.1396) q[6]; h q[6]; h q[7]; rz(-0.1396) q[7]; h q[7]; cx q[1], q[0]; rz(0.1023) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.1023) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1023) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.1023) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.1023) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.1023) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.1023) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.1023) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.1023) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.1023) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(0.1116) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.1023) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.1116) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.1116) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.1023) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(0.1116) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.1116) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.1116) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.1023) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.1116) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(0.1116) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(0.1116) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.1116) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.1116) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.1116) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.1116) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(0.1116) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(0.1023) q[5]; cx q[7], q[5]; rz(-0.2604) q[1]; rz(-0.2697) q[0]; rz(-0.2604) q[2]; rz(-0.2697) q[3]; rz(-0.2697) q[4]; rz(-0.2418) q[6]; rz(-0.2418) q[7]; rz(-0.2325) q[5]; h q[0]; rz(-0.1304) q[0]; h q[0]; h q[1]; rz(-0.1304) q[1]; h q[1]; h q[2]; rz(-0.1304) q[2]; h q[2]; h q[3]; rz(-0.1304) q[3]; h q[3]; h q[4]; rz(-0.1304) q[4]; h q[4]; h q[5]; rz(-0.1304) q[5]; h q[5]; h q[6]; rz(-0.1304) q[6]; h q[6]; h q[7]; rz(-0.1304) q[7]; h q[7]; cx q[1], q[0]; rz(0.0512) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0512) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0512) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.0512) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0512) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.0512) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0512) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.0512) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.0512) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.0512) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(0.0558) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.0512) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.0558) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.0558) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.0512) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(0.0558) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.0558) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.0558) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.0512) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.0558) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(0.0558) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(0.0558) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.0558) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.0558) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.0558) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.0558) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(0.0558) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(0.0512) q[5]; cx q[7], q[5]; rz(-0.1302) q[1]; rz(-0.1349) q[0]; rz(-0.1302) q[2]; rz(-0.1349) q[3]; rz(-0.1349) q[4]; rz(-0.1209) q[6]; rz(-0.1209) q[7]; rz(-0.1163) q[5]; h q[0]; rz(-0.1084) q[0]; h q[0]; h q[1]; rz(-0.1084) q[1]; h q[1]; h q[2]; rz(-0.1084) q[2]; h q[2]; h q[3]; rz(-0.1084) q[3]; h q[3]; h q[4]; rz(-0.1084) q[4]; h q[4]; h q[5]; rz(-0.1084) q[5]; h q[5]; h q[6]; rz(-0.1084) q[6]; h q[6]; h q[7]; rz(-0.1084) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x1) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x1) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x1) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x1) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x1) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x1) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(x1) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x0) q[5]; cx q[7], q[5]; rz(x2) q[1]; rz(x3) q[0]; rz(x2) q[2]; rz(x3) q[3]; rz(x3) q[4]; rz(x4) q[6]; rz(x4) q[7]; rz(x5) q[5]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; cx q[1], q[0]; rz(x7) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x7) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x7) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x7) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x7) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x7) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x7) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x7) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x7) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x7) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(x8) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x7) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x8) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x8) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x7) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(x8) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x8) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x8) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x7) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x8) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x8) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(x8) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x8) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x8) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x8) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x8) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(x8) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x7) q[5]; cx q[7], q[5]; rz(x9) q[1]; rz(x10) q[0]; rz(x9) q[2]; rz(x10) q[3]; rz(x10) q[4]; rz(x11) q[6]; rz(x11) q[7]; rz(x12) q[5]; h q[0]; rz(x13) q[0]; h q[0]; h q[1]; rz(x13) q[1]; h q[1]; h q[2]; rz(x13) q[2]; h q[2]; h q[3]; rz(x13) q[3]; h q[3]; h q[4]; rz(x13) q[4]; h q[4]; h q[5]; rz(x13) q[5]; h q[5]; h q[6]; rz(x13) q[6]; h q[6]; h q[7]; rz(x13) q[7]; h q[7]; cx q[1], q[0]; rz(x14) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x14) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x14) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x14) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x14) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x14) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x14) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x14) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x14) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x14) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(x15) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x14) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x15) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x15) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x14) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(x15) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x15) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x15) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x14) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x15) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x15) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(x15) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x15) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x15) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x15) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x15) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(x15) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x14) q[5]; cx q[7], q[5]; rz(x16) q[1]; rz(x17) q[0]; rz(x16) q[2]; rz(x17) q[3]; rz(x17) q[4]; rz(x18) q[6]; rz(x18) q[7]; rz(x19) q[5]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"k": 5}
{"circuits": [], "gradients": []}
fbbd8eb0c295edadedab0040e35f46b9
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}], "edges": [{"weight": 6, "source": 0, "target": 6}, {"weight": 6, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 8}, {"weight": 18, "source": 2, "target": 13}, {"weight": 6, "source": 3, "target": 9}, {"weight": 14, "source": 3, "target": 11}, {"weight": 16, "source": 3, "target": 7}, {"weight": 14, "source": 3, "target": 12}, {"weight": 9, "source": 4, "target": 10}, {"weight": 14, "source": 4, "target": 13}, {"weight": 7, "source": 5, "target": 11}]}
{"states": [372, 370], "expectation_value": -115.07046375864395, "params": [[[1.5727, 0.3295], [0.0019, 0.3347], [1.5687, 0.8756], [0.002, 0.8804000000000001], [1.8331000000000002, 0.0021000000000000003], [0.4187, -0.0019], [-1.8325, 0.0017000000000000001], [0.0034000000000000002, 0.9724], [3.1443000000000003, 1.5690000000000002], [-0.0017000000000000001, -0.0007], [0.9104000000000001, 0.0732]], [[1.5689000000000002, -0.0024000000000000002], [0.0019, 0.0019], [1.5687, -0.0018000000000000002], [0.002, -0.0019], [1.2958, -0.0206], [1.1648, 1.5645], [3.5932000000000004, 1.5735000000000001], [1.2099, -0.6512], [1.5733000000000001, -3.1724], [1.5681, -0.0022], [1.5689000000000002, -0.5796]]], "bitstrings": ["11010001011", "11010001101"], "total_optimization_steps": 450, "probabilities": [0.4845325993167366, 0.5153460585001833], "optimization_time": 49.89874243736267}
7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(4)) + -6.5 * Z(3) + 9.0 * Z(2) + 23.0 * Z(6) + -4.5 * Z(1) + 14.5 * Z(5) + 10.5 * Z(7) + 22.0 * Z(4) + 7.0 * Z(9) + -3.0 * Z(8) + -4.0 * Z(10) + -12.0 * Z(0)
15
11
2
{"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["11010001101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; ry(1.5727) q[0]; ry(0.0019) q[1]; ry(1.5687) q[2]; ry(0.002) q[3]; ry(1.8331) q[4]; ry(0.4187) q[5]; ry(-1.8325) q[6]; ry(0.0034) q[7]; ry(3.1443) q[8]; ry(-0.0017) q[9]; ry(0.9104) q[10]; cx q[10], q[0]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.3295) q[0]; ry(0.3347) q[1]; ry(0.8756) q[2]; ry(0.8804) q[3]; ry(0.0021) q[4]; ry(-0.0019) q[5]; ry(0.0017) q[6]; ry(0.9724) q[7]; ry(1.569) q[8]; ry(-0.0007) q[9]; ry(0.0732) q[10]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; ry(1.5689) q[0]; ry(0.0019) q[1]; ry(1.5687) q[2]; ry(0.002) q[3]; ry(1.2958) q[4]; ry(1.1648) q[5]; ry(3.5932) q[6]; ry(1.2099) q[7]; ry(1.5733) q[8]; ry(1.5681) q[9]; ry(1.5689) q[10]; cx q[10], q[0]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.0024) q[0]; ry(0.0019) q[1]; ry(-0.0018) q[2]; ry(-0.0019) q[3]; ry(-0.0206) q[4]; ry(1.5645) q[5]; ry(1.5735) q[6]; ry(-0.6512) q[7]; ry(-3.1724) q[8]; ry(-0.0022) q[9]; ry(-0.5796) q[10]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; cx q[10], q[0]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; ry(x22) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x23) q[4]; ry(x24) q[5]; ry(x25) q[6]; ry(x26) q[7]; ry(x27) q[8]; ry(x28) q[9]; ry(x22) q[10]; cx q[10], q[0]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x29) q[0]; ry(x1) q[1]; ry(x30) q[2]; ry(x16) q[3]; ry(x31) q[4]; ry(x32) q[5]; ry(x33) q[6]; ry(x34) q[7]; ry(x35) q[8]; ry(x36) q[9]; ry(x37) q[10]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"}
{"circuits": [], "gradients": []}
50ae2479d5601754158b9fc59193bb01
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]}
{"states": [21, 90], "expectation_value": -0.12445109953014823, "params": [[0.014100000000000001, -0.0626], [-0.0565, 0.058300000000000005]], "bitstrings": ["1101010", "0100101"], "total_optimization_steps": 10, "probabilities": [0.008448657725763347, 0.00868207080944421], "optimization_time": 2.7425901889801025}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3)
1
7
2
{"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(0.0141) q[0]; cx q[1], q[0]; cx q[0], q[4]; rz(0.0141) q[4]; cx q[0], q[4]; cx q[1], q[6]; rz(0.0141) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.0141) q[6]; cx q[0], q[6]; cx q[1], q[5]; rz(0.0141) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(0.0141) q[5]; cx q[6], q[5]; cx q[1], q[2]; rz(0.0141) q[2]; cx q[1], q[2]; cx q[4], q[3]; rz(0.0141) q[3]; cx q[4], q[3]; rz(-0.0423) q[1]; rz(-0.0282) q[0]; rz(-0.0141) q[4]; rz(-0.0282) q[6]; rz(-0.0141) q[5]; rz(0) q[2]; rz(0) q[3]; h q[0]; rz(-0.113) q[0]; h q[0]; h q[1]; rz(-0.113) q[1]; h q[1]; h q[2]; rz(-0.113) q[2]; h q[2]; h q[3]; rz(-0.113) q[3]; h q[3]; h q[4]; rz(-0.113) q[4]; h q[4]; h q[5]; rz(-0.113) q[5]; h q[5]; h q[6]; rz(-0.113) q[6]; h q[6]; cx q[1], q[0]; rz(-0.0626) q[0]; cx q[1], q[0]; cx q[0], q[4]; rz(-0.0626) q[4]; cx q[0], q[4]; cx q[1], q[6]; rz(-0.0626) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.0626) q[6]; cx q[0], q[6]; cx q[1], q[5]; rz(-0.0626) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(-0.0626) q[5]; cx q[6], q[5]; cx q[1], q[2]; rz(-0.0626) q[2]; cx q[1], q[2]; cx q[4], q[3]; rz(-0.0626) q[3]; cx q[4], q[3]; rz(0.1878) q[1]; rz(0.1252) q[0]; rz(0.0626) q[4]; rz(0.1252) q[6]; rz(0.0626) q[5]; rz(0) q[2]; rz(0) q[3]; h q[0]; rz(0.1166) q[0]; h q[0]; h q[1]; rz(0.1166) q[1]; h q[1]; h q[2]; rz(0.1166) q[2]; h q[2]; h q[3]; rz(0.1166) q[3]; h q[3]; h q[4]; rz(0.1166) q[4]; h q[4]; h q[5]; rz(0.1166) q[5]; h q[5]; h q[6]; rz(0.1166) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[4]; rz(x2) q[6]; rz(x3) q[5]; rz(x4) q[2]; rz(x4) q[3]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; cx q[1], q[0]; rz(x6) q[0]; cx q[1], q[0]; cx q[0], q[4]; rz(x6) q[4]; cx q[0], q[4]; cx q[1], q[6]; rz(x6) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x6) q[6]; cx q[0], q[6]; cx q[1], q[5]; rz(x6) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x6) q[5]; cx q[6], q[5]; cx q[1], q[2]; rz(x6) q[2]; cx q[1], q[2]; cx q[4], q[3]; rz(x6) q[3]; cx q[4], q[3]; rz(x7) q[1]; rz(x8) q[0]; rz(x9) q[4]; rz(x8) q[6]; rz(x9) q[5]; rz(x4) q[2]; rz(x4) q[3]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
119f5bb57fe729fc61765e50d3ad4135
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 4, "source": 0, "target": 6}, {"weight": 16, "source": 0, "target": 7}, {"weight": 18, "source": 0, "target": 9}, {"weight": 1, "source": 1, "target": 7}, {"weight": 7, "source": 2, "target": 8}, {"weight": 16, "source": 2, "target": 7}, {"weight": 18, "source": 2, "target": 10}, {"weight": 1, "source": 3, "target": 9}, {"weight": 5, "source": 4, "target": 10}, {"weight": 1, "source": 5, "target": 11}, {"weight": 17, "source": 5, "target": 8}]}
{"states": [609, 865], "expectation_value": -102.5498570440345, "params": [[0.0879, 0.8112, 0.2285, -0.07350000000000001, 0.7579, 0.2326, 0.08370000000000001, -0.0024000000000000002, 0.0005, 0.0028, 0.8019000000000001], [-0.1409, 0.8916000000000001, 0.896, -0.3044, 0.9016000000000001, 0.8939, 0.5192, -0.0023, 0.0026000000000000003, 0.0034000000000000002, 0.7904], [-0.0765, 0.2449, 0.1703, 0.0468, 0.2808, 0.0818, 0.1027, -0.0022, 0.0037, -0.0036000000000000003, 0.7611], [0.43410000000000004, 0.898, 0.8967, 0.44530000000000003, 0.8988, 0.8976000000000001, 0.47700000000000004, -0.0021000000000000003, 0.0014, 0.0035, 0.7849]], "bitstrings": ["10110011110", "10010011110"], "total_optimization_steps": 90, "probabilities": [0.14257474246816765, 0.20850500648160125], "optimization_time": 24.688738584518433}
8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(10) @ Z(6)) + 8.0 * (Z(9) @ Z(10)) + 17.0 * Z(2) + 24.0 * Z(1) + 2.0 * Z(0) + 0.5 * Z(3) + 24.0 * Z(5) + 17.0 * Z(4) + 11.5 * Z(6) + -7.5 * Z(7) + -5.5 * Z(8) + 8.5 * Z(10) + -7.5 * Z(9)
10
11
3
{"smallest_eigenvalues": [-153.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.0, "smallest_bitstrings": ["10010011110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; ry(0.0879) q[0]; ry(0.8112) q[1]; ry(0.2285) q[2]; ry(-0.0735) q[3]; ry(0.7579) q[4]; ry(0.2326) q[5]; ry(0.0837) q[6]; ry(-0.0024) q[7]; ry(0.0005) q[8]; ry(0.0028) q[9]; ry(0.8019) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.1409) q[0]; ry(0.8916) q[1]; ry(0.896) q[2]; ry(-0.3044) q[3]; ry(0.9016) q[4]; ry(0.8939) q[5]; ry(0.5192) q[6]; ry(-0.0023) q[7]; ry(0.0026) q[8]; ry(0.0034) q[9]; ry(0.7904) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.0765) q[0]; ry(0.2449) q[1]; ry(0.1703) q[2]; ry(0.0468) q[3]; ry(0.2808) q[4]; ry(0.0818) q[5]; ry(0.1027) q[6]; ry(-0.0022) q[7]; ry(0.0037) q[8]; ry(-0.0036) q[9]; ry(0.7611) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(0.4341) q[0]; ry(0.898) q[1]; ry(0.8967) q[2]; ry(0.4453) q[3]; ry(0.8988) q[4]; ry(0.8976) q[5]; ry(0.477) q[6]; ry(-0.0021) q[7]; ry(0.0014) q[8]; ry(0.0035) q[9]; ry(0.7849) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x22) q[0]; ry(x23) q[1]; ry(x24) q[2]; ry(x25) q[3]; ry(x26) q[4]; ry(x27) q[5]; ry(x28) q[6]; ry(x29) q[7]; ry(x30) q[8]; ry(x31) q[9]; ry(x32) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x33) q[0]; ry(x34) q[1]; ry(x35) q[2]; ry(x36) q[3]; ry(x37) q[4]; ry(x38) q[5]; ry(x39) q[6]; ry(x40) q[7]; ry(x41) q[8]; ry(x42) q[9]; ry(x43) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
b2a86e79e509d0d76748a475959a4d60
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"weight": 20, "source": 3, "target": 4}, {"weight": 14, "source": 3, "target": 5}, {"weight": 1, "source": 4, "target": 5}, {"weight": 19, "source": 4, "target": 6}]}
{"states": [205, 109], "expectation_value": -16.970238326291383, "params": [[-0.028200000000000003, 0.0363, 0.0261], [0.0543, -0.034800000000000005, -0.057600000000000005]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009962269322946811, 0.010748121188147754], "optimization_time": 5.449518918991089}
4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) + 0.5 * Z(0) + 18.5 * Z(1) + 5.5 * Z(3) + 22.0 * Z(4) + 15.0 * Z(5) + 4.5 * Z(6) + 13.5 * Z(7)
1
8
3
{"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(-0.2256) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(-0.2256) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(-0.2256) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(-0.2256) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(-0.2256) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(-0.2256) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(-0.2256) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(-0.2256) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.2256) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(-0.2256) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(-0.2256) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(-0.2256) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(-0.2256) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(-0.2256) q[7]; cx q[6], q[7]; rz(-0.5358) q[2]; rz(-0.0282) q[0]; rz(-1.0434) q[1]; rz(-0.3102) q[3]; rz(-1.2408) q[4]; rz(-0.846) q[5]; rz(-0.2538) q[6]; rz(-0.7614) q[7]; h q[0]; rz(0.1086) q[0]; h q[0]; h q[1]; rz(0.1086) q[1]; h q[1]; h q[2]; rz(0.1086) q[2]; h q[2]; h q[3]; rz(0.1086) q[3]; h q[3]; h q[4]; rz(0.1086) q[4]; h q[4]; h q[5]; rz(0.1086) q[5]; h q[5]; h q[6]; rz(0.1086) q[6]; h q[6]; h q[7]; rz(0.1086) q[7]; h q[7]; cx q[2], q[0]; rz(0.2904) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(0.2904) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(0.2904) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(0.2904) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(0.2904) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(0.2904) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.2904) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.2904) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.2904) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(0.2904) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.2904) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(0.2904) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(0.2904) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(0.2904) q[7]; cx q[6], q[7]; rz(0.6897) q[2]; rz(0.0363) q[0]; rz(1.3431) q[1]; rz(0.3993) q[3]; rz(1.5972) q[4]; rz(1.089) q[5]; rz(0.3267) q[6]; rz(0.9801) q[7]; h q[0]; rz(-0.0696) q[0]; h q[0]; h q[1]; rz(-0.0696) q[1]; h q[1]; h q[2]; rz(-0.0696) q[2]; h q[2]; h q[3]; rz(-0.0696) q[3]; h q[3]; h q[4]; rz(-0.0696) q[4]; h q[4]; h q[5]; rz(-0.0696) q[5]; h q[5]; h q[6]; rz(-0.0696) q[6]; h q[6]; h q[7]; rz(-0.0696) q[7]; h q[7]; cx q[2], q[0]; rz(0.2088) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(0.2088) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(0.2088) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(0.2088) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(0.2088) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(0.2088) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.2088) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.2088) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.2088) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(0.2088) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.2088) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(0.2088) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(0.2088) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(0.2088) q[7]; cx q[6], q[7]; rz(0.4959) q[2]; rz(0.0261) q[0]; rz(0.9657) q[1]; rz(0.2871) q[3]; rz(1.1484) q[4]; rz(0.783) q[5]; rz(0.2349) q[6]; rz(0.7047) q[7]; h q[0]; rz(-0.1152) q[0]; h q[0]; h q[1]; rz(-0.1152) q[1]; h q[1]; h q[2]; rz(-0.1152) q[2]; h q[2]; h q[3]; rz(-0.1152) q[3]; h q[3]; h q[4]; rz(-0.1152) q[4]; h q[4]; h q[5]; rz(-0.1152) q[5]; h q[5]; h q[6]; rz(-0.1152) q[6]; h q[6]; h q[7]; rz(-0.1152) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(x0) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; rz(x1) q[2]; rz(x2) q[0]; rz(x3) q[1]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; cx q[2], q[0]; rz(x10) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x10) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(x10) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(x10) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(x10) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x10) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x10) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x10) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x10) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x10) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x10) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(x10) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(x10) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x10) q[7]; cx q[6], q[7]; rz(x11) q[2]; rz(x12) q[0]; rz(x13) q[1]; rz(x14) q[3]; rz(x15) q[4]; rz(x16) q[5]; rz(x17) q[6]; rz(x18) q[7]; h q[0]; rz(x19) q[0]; h q[0]; h q[1]; rz(x19) q[1]; h q[1]; h q[2]; rz(x19) q[2]; h q[2]; h q[3]; rz(x19) q[3]; h q[3]; h q[4]; rz(x19) q[4]; h q[4]; h q[5]; rz(x19) q[5]; h q[5]; h q[6]; rz(x19) q[6]; h q[6]; h q[7]; rz(x19) q[7]; h q[7]; cx q[2], q[0]; rz(x20) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x20) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(x20) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(x20) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(x20) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x20) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x20) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x20) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x20) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x20) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x20) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(x20) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(x20) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x20) q[7]; cx q[6], q[7]; rz(x21) q[2]; rz(x22) q[0]; rz(x23) q[1]; rz(x24) q[3]; rz(x25) q[4]; rz(x26) q[5]; rz(x27) q[6]; rz(x28) q[7]; h q[0]; rz(x29) q[0]; h q[0]; h q[1]; rz(x29) q[1]; h q[1]; h q[2]; rz(x29) q[2]; h q[2]; h q[3]; rz(x29) q[3]; h q[3]; h q[4]; rz(x29) q[4]; h q[4]; h q[5]; rz(x29) q[5]; h q[5]; h q[6]; rz(x29) q[6]; h q[6]; h q[7]; rz(x29) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"matching": "near_perfect", "extra": "{\"n\": 7}"}
{"circuits": [], "gradients": []}
ffad3b964ead217a06cbfc18be3f05e0
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 3}, {"weight": 11, "source": 2, "target": 5}, {"weight": 13, "source": 2, "target": 4}, {"weight": 6, "source": 4, "target": 5}, {"weight": 1, "source": 6, "target": 7}]}
{"states": [397, 236], "expectation_value": -2.1048850995478925, "params": [[-0.023100000000000002], [0.0229]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.002296754057086534, 0.0023943195979764798], "optimization_time": 4.003812551498413}
4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.5 * Z(4) + 11.0 * Z(5) + 10.0 * Z(6) + 3.0 * Z(7) + 0.5 * Z(8)
1
9
1
{"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(-0.2079) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.2079) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.2079) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(-0.2079) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(-0.2079) q[4]; cx q[1], q[4]; cx q[4], q[5]; rz(-0.2079) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(-0.2079) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(-0.2079) q[6]; cx q[5], q[6]; cx q[5], q[7]; rz(-0.2079) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(-0.2079) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(-0.2079) q[8]; cx q[2], q[8]; cx q[3], q[8]; rz(-0.2079) q[8]; cx q[3], q[8]; rz(-0.462) q[1]; rz(-0.3465) q[0]; rz(-0.6468) q[2]; rz(-0.2541) q[3]; rz(-0.2541) q[4]; rz(-0.5082) q[5]; rz(-0.462) q[6]; rz(-0.1386) q[7]; rz(-0.0231) q[8]; h q[0]; rz(0.0458) q[0]; h q[0]; h q[1]; rz(0.0458) q[1]; h q[1]; h q[2]; rz(0.0458) q[2]; h q[2]; h q[3]; rz(0.0458) q[3]; h q[3]; h q[4]; rz(0.0458) q[4]; h q[4]; h q[5]; rz(0.0458) q[5]; h q[5]; h q[6]; rz(0.0458) q[6]; h q[6]; h q[7]; rz(0.0458) q[7]; h q[7]; h q[8]; rz(0.0458) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; cx q[3], q[8]; rz(x0) q[8]; cx q[3], q[8]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x4) q[4]; rz(x5) q[5]; rz(x1) q[6]; rz(x6) q[7]; rz(x7) q[8]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; h q[7]; rz(x8) q[7]; h q[7]; h q[8]; rz(x8) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum", "extra": "{\"n\": 8}"}
{"circuits": [], "gradients": []}
b426b8aff164c6823b185eb6b091738d
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]}
{"states": [35, 28], "expectation_value": -2.2563894198955015, "params": [[[1.5678, -0.2651], [0.9958, 1.1336000000000002], [1.576, -1.5435], [1.5746, -1.5757], [1.5695000000000001, 0.7583000000000001], [1.5691000000000002, -1.4753]]], "bitstrings": ["011100", "100011"], "total_optimization_steps": 210, "probabilities": [0.320968319420473, 0.4198607064140194], "optimization_time": 7.581836462020874}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3)
15
6
1
{"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; ry(1.5678) q[0]; ry(0.9958) q[1]; ry(1.576) q[2]; ry(1.5746) q[3]; ry(1.5695) q[4]; ry(1.5691) q[5]; cx q[5], q[0]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.2651) q[0]; ry(1.1336) q[1]; ry(-1.5435) q[2]; ry(-1.5757) q[3]; ry(0.7583) q[4]; ry(-1.4753) q[5]; cx q[5], q[4]; cx q[0], q[5]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; cx q[5], q[0]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x6) q[0]; ry(x7) q[1]; ry(x8) q[2]; ry(x9) q[3]; ry(x10) q[4]; ry(x11) q[5]; cx q[5], q[4]; cx q[0], q[5]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
dcc9b09a52c0b2b7dcb6687470059460
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target": 6}]}
{"states": [172, 173], "expectation_value": -3.439426309766524, "params": [1.8058, -0.0063, -0.0047, -0.06430000000000001, 1.8029000000000002, -0.0036000000000000003, 0.738, -0.002, 1.8025, -0.2954, 1.8005, 0.0034000000000000002, 0.4884, 0.5944, 1.8097, 0.0074, -1.7095, -0.0035, -1.7726000000000002, -0.7418, 0.5006, 1.3767, 0.5870000000000001], "bitstrings": ["01010011", "01010010"], "total_optimization_steps": 180, "probabilities": [0.068923562873086, 0.09012877374772135], "optimization_time": 6.438789129257202}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(7)
4
8
1
{"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["01010010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(1.8058) q[0]; rz(-0.0063) q[0]; rx(-0.0047) q[1]; rz(-0.0643) q[1]; rx(1.8029) q[2]; rz(-0.0036) q[2]; rx(0.738) q[3]; rz(-0.002) q[3]; rx(1.8025) q[4]; rz(-0.2954) q[4]; rx(1.8005) q[5]; rz(0.0034) q[5]; rx(0.4884) q[6]; rz(0.5944) q[6]; rx(1.8097) q[7]; rz(0.0074) q[7]; crx(0.587) q[7], q[6]; crx(1.3767) q[6], q[5]; crx(0.5006) q[5], q[4]; crx(-0.7418) q[4], q[3]; crx(-1.7726) q[3], q[2]; crx(-0.0035) q[2], q[1]; crx(-1.7095) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crx(x16) q[7], q[6]; crx(x17) q[6], q[5]; crx(x18) q[5], q[4]; crx(x19) q[4], q[3]; crx(x20) q[3], q[2]; crx(x21) q[2], q[1]; crx(x22) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
3c01ab65d1a16535fdf3b1017527aaee
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 1, "source": 3, "target": 2}, {"capacity": 2, "source": 4, "target": 6}, {"capacity": 2, "source": 5, "target": 2}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 2, "source": 5, "target": 7}, {"capacity": 2, "source": 6, "target": 3}, {"capacity": 2, "source": 7, "target": 2}, {"capacity": 1, "source": 7, "target": 5}, {"capacity": 1, "source": 7, "target": 8}]}
{"states": [0, 1], "expectation_value": -5.521202343636244, "params": [-0.0012000000000000001, -0.10650000000000001, 0.0014, -0.1359, -0.0006000000000000001, -0.1477, 0.0031000000000000003, -0.15810000000000002, 0.0027, -0.14600000000000002, 0.004200000000000001, -0.151, 0.005200000000000001, -0.1, 0.0021000000000000003, -0.1413, -0.029, -0.010100000000000001, -0.0221, 0.1282, -0.0006000000000000001, -0.149, 0.007, -0.1384, -0.0027, -0.1427, 0.0049, -0.14880000000000002, 0.0037, -0.1409, 0.0012000000000000001, -0.15560000000000002, 0.1996, 0.0843, 0.20020000000000002, 0.0408, -0.0022, -0.13490000000000002, -0.0039000000000000003, -0.1208, 0.004200000000000001, -0.1532, 0.0031000000000000003, -0.1522, -0.0026000000000000003, -0.154, 0.0033, -0.1527, 0.0043, -0.1479, 0.0005, -0.1487, -0.0217, 0.0678, 0.0103, 0.0609, 0.00030000000000000003, -0.1535, 0.005, -0.1449, 0.0036000000000000003, -0.1504, -0.00030000000000000003, -0.1552, 0.0022, -0.1588, 0.004200000000000001, -0.15610000000000002, 0.2056, 0.0849, 0.20140000000000002, 0.0502, -0.00030000000000000003, -0.12140000000000001, 0.0032, -0.12150000000000001, 0.008, -0.1529, 0.0043, -0.1505, 0.006200000000000001, -0.1574, 0.0051, -0.1512, 0.0031000000000000003, -0.1451, 0.0008, -0.13770000000000002, 0.0089, 0.0476, 0.1453, 0.019200000000000002, 0.006, -0.1459, 0.0036000000000000003, -0.1396, 0.0073, -0.14850000000000002, 0.0063, -0.1262, 0.0079, -0.151, -0.001, -0.157, 0.1993, 0.07680000000000001, 0.2058, 0.0398, -0.00030000000000000003, -0.10880000000000001, -0.003, 0.0008, -0.0004, -0.15510000000000002, 0.0015, 0.0036000000000000003, 0.0055000000000000005, -0.12380000000000001, -0.0022, 0.007200000000000001, 0.0057, -0.139, 0.005, 0.0009000000000000001, 0.1419, 0.0178, 0.1617, 0.0002, 0.0018000000000000002, -0.1441, 0.0025, 0.009300000000000001, 0.0005, -0.11950000000000001, -0.0009000000000000001, 0.0083, 0.0047, -0.15380000000000002, 0.0034000000000000002, 0.0099, 0.1991, 0.0758, 0.20750000000000002, 0.0064, 0.0439, 0.0296, 0.0183, 0.0322, 0.04, 0.0195, 0.0269, 0.0302, 0.16870000000000002, 0.0432, 0.0383, 0.023, 0.039, 0.0397, 0.0307, 0.0368, 0.038, 0.1688, 0.045200000000000004, 0.0378, 0.0235, 0.037000000000000005, 0.0345, 0.027200000000000002, 0.0303, 0.0363, 0.155, 0.040100000000000004, 0.0261, 0.0196, 0.0339, 0.0149, 0.0236, 0.0307, 0.029300000000000003, 0.07], "bitstrings": ["111111111", "111111110"], "total_optimization_steps": 20, "probabilities": [0.45752548836826024, 0.5028458897761977], "optimization_time": 55.93562388420105}
-0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.25 * Z(8)
5
9
4
{"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(-0.0012) q[0]; rz(-0.1065) q[0]; rx(-0.0006) q[1]; rz(-0.1477) q[1]; rx(0.0027) q[2]; rz(-0.146) q[2]; rx(0.0052) q[3]; rz(-0.1) q[3]; rx(-0.029) q[4]; rz(-0.0101) q[4]; rx(-0.0006) q[5]; rz(-0.149) q[5]; rx(-0.0027) q[6]; rz(-0.1427) q[6]; rx(0.0037) q[7]; rz(-0.1409) q[7]; rx(0.1996) q[8]; rz(0.0843) q[8]; crz(0.0302) q[8], q[7]; crz(0.0269) q[8], q[6]; crz(0.0195) q[8], q[5]; crz(0.04) q[8], q[4]; crz(0.0322) q[8], q[3]; crz(0.0183) q[8], q[2]; crz(0.0296) q[8], q[1]; crz(0.0439) q[8], q[0]; crz(0.1687) q[7], q[8]; crz(0.0269) q[7], q[6]; crz(0.0195) q[7], q[5]; crz(0.04) q[7], q[4]; crz(0.0322) q[7], q[3]; crz(0.0183) q[7], q[2]; crz(0.0296) q[7], q[1]; crz(0.0439) q[7], q[0]; crz(0.1687) q[6], q[8]; crz(0.0302) q[6], q[7]; crz(0.0195) q[6], q[5]; crz(0.04) q[6], q[4]; crz(0.0322) q[6], q[3]; crz(0.0183) q[6], q[2]; crz(0.0296) q[6], q[1]; crz(0.0439) q[6], q[0]; crz(0.1687) q[5], q[8]; crz(0.0302) q[5], q[7]; crz(0.0269) q[5], q[6]; crz(0.04) q[5], q[4]; crz(0.0322) q[5], q[3]; crz(0.0183) q[5], q[2]; crz(0.0296) q[5], q[1]; crz(0.0439) q[5], q[0]; crz(0.1687) q[4], q[8]; crz(0.0302) q[4], q[7]; crz(0.0269) q[4], q[6]; crz(0.0195) q[4], q[5]; crz(0.0322) q[4], q[3]; crz(0.0183) q[4], q[2]; crz(0.0296) q[4], q[1]; crz(0.0439) q[4], q[0]; crz(0.1687) q[3], q[8]; crz(0.0302) q[3], q[7]; crz(0.0269) q[3], q[6]; crz(0.0195) q[3], q[5]; crz(0.04) q[3], q[4]; crz(0.0183) q[3], q[2]; crz(0.0296) q[3], q[1]; crz(0.0439) q[3], q[0]; crz(0.1687) q[2], q[8]; crz(0.0302) q[2], q[7]; crz(0.0269) q[2], q[6]; crz(0.0195) q[2], q[5]; crz(0.04) q[2], q[4]; crz(0.0322) q[2], q[3]; crz(0.0296) q[2], q[1]; crz(0.0439) q[2], q[0]; crz(0.1687) q[1], q[8]; crz(0.0302) q[1], q[7]; crz(0.0269) q[1], q[6]; crz(0.0195) q[1], q[5]; crz(0.04) q[1], q[4]; crz(0.0322) q[1], q[3]; crz(0.0183) q[1], q[2]; crz(0.0439) q[1], q[0]; crz(0.1687) q[0], q[8]; crz(0.0302) q[0], q[7]; crz(0.0269) q[0], q[6]; crz(0.0195) q[0], q[5]; crz(0.04) q[0], q[4]; crz(0.0322) q[0], q[3]; crz(0.0183) q[0], q[2]; crz(0.0296) q[0], q[1]; rx(0.0014) q[0]; rz(-0.1359) q[0]; rx(0.0031) q[1]; rz(-0.1581) q[1]; rx(0.0042) q[2]; rz(-0.151) q[2]; rx(0.0021) q[3]; rz(-0.1413) q[3]; rx(-0.0221) q[4]; rz(0.1282) q[4]; rx(0.007) q[5]; rz(-0.1384) q[5]; rx(0.0049) q[6]; rz(-0.1488) q[6]; rx(0.0012) q[7]; rz(-0.1556) q[7]; rx(0.2002) q[8]; rz(0.0408) q[8]; rx(-0.0022) q[0]; rz(-0.1349) q[0]; rx(0.0042) q[1]; rz(-0.1532) q[1]; rx(-0.0026) q[2]; rz(-0.154) q[2]; rx(0.0043) q[3]; rz(-0.1479) q[3]; rx(-0.0217) q[4]; rz(0.0678) q[4]; rx(0.0003) q[5]; rz(-0.1535) q[5]; rx(0.0036) q[6]; rz(-0.1504) q[6]; rx(0.0022) q[7]; rz(-0.1588) q[7]; rx(0.2056) q[8]; rz(0.0849) q[8]; crz(0.038) q[8], q[7]; crz(0.0368) q[8], q[6]; crz(0.0307) q[8], q[5]; crz(0.0397) q[8], q[4]; crz(0.039) q[8], q[3]; crz(0.023) q[8], q[2]; crz(0.0383) q[8], q[1]; crz(0.0432) q[8], q[0]; crz(0.1688) q[7], q[8]; crz(0.0368) q[7], q[6]; crz(0.0307) q[7], q[5]; crz(0.0397) q[7], q[4]; crz(0.039) q[7], q[3]; crz(0.023) q[7], q[2]; crz(0.0383) q[7], q[1]; crz(0.0432) q[7], q[0]; crz(0.1688) q[6], q[8]; crz(0.038) q[6], q[7]; crz(0.0307) q[6], q[5]; crz(0.0397) q[6], q[4]; crz(0.039) q[6], q[3]; crz(0.023) q[6], q[2]; crz(0.0383) q[6], q[1]; crz(0.0432) q[6], q[0]; crz(0.1688) q[5], q[8]; crz(0.038) q[5], q[7]; crz(0.0368) q[5], q[6]; crz(0.0397) q[5], q[4]; crz(0.039) q[5], q[3]; crz(0.023) q[5], q[2]; crz(0.0383) q[5], q[1]; crz(0.0432) q[5], q[0]; crz(0.1688) q[4], q[8]; crz(0.038) q[4], q[7]; crz(0.0368) q[4], q[6]; crz(0.0307) q[4], q[5]; crz(0.039) q[4], q[3]; crz(0.023) q[4], q[2]; crz(0.0383) q[4], q[1]; crz(0.0432) q[4], q[0]; crz(0.1688) q[3], q[8]; crz(0.038) q[3], q[7]; crz(0.0368) q[3], q[6]; crz(0.0307) q[3], q[5]; crz(0.0397) q[3], q[4]; crz(0.023) q[3], q[2]; crz(0.0383) q[3], q[1]; crz(0.0432) q[3], q[0]; crz(0.1688) q[2], q[8]; crz(0.038) q[2], q[7]; crz(0.0368) q[2], q[6]; crz(0.0307) q[2], q[5]; crz(0.0397) q[2], q[4]; crz(0.039) q[2], q[3]; crz(0.0383) q[2], q[1]; crz(0.0432) q[2], q[0]; crz(0.1688) q[1], q[8]; crz(0.038) q[1], q[7]; crz(0.0368) q[1], q[6]; crz(0.0307) q[1], q[5]; crz(0.0397) q[1], q[4]; crz(0.039) q[1], q[3]; crz(0.023) q[1], q[2]; crz(0.0432) q[1], q[0]; crz(0.1688) q[0], q[8]; crz(0.038) q[0], q[7]; crz(0.0368) q[0], q[6]; crz(0.0307) q[0], q[5]; crz(0.0397) q[0], q[4]; crz(0.039) q[0], q[3]; crz(0.023) q[0], q[2]; crz(0.0383) q[0], q[1]; rx(-0.0039) q[0]; rz(-0.1208) q[0]; rx(0.0031) q[1]; rz(-0.1522) q[1]; rx(0.0033) q[2]; rz(-0.1527) q[2]; rx(0.0005) q[3]; rz(-0.1487) q[3]; rx(0.0103) q[4]; rz(0.0609) q[4]; rx(0.005) q[5]; rz(-0.1449) q[5]; rx(-0.0003) q[6]; rz(-0.1552) q[6]; rx(0.0042) q[7]; rz(-0.1561) q[7]; rx(0.2014) q[8]; rz(0.0502) q[8]; rx(-0.0003) q[0]; rz(-0.1214) q[0]; rx(0.008) q[1]; rz(-0.1529) q[1]; rx(0.0062) q[2]; rz(-0.1574) q[2]; rx(0.0031) q[3]; rz(-0.1451) q[3]; rx(0.0089) q[4]; rz(0.0476) q[4]; rx(0.006) q[5]; rz(-0.1459) q[5]; rx(0.0073) q[6]; rz(-0.1485) q[6]; rx(0.0079) q[7]; rz(-0.151) q[7]; rx(0.1993) q[8]; rz(0.0768) q[8]; crz(0.0363) q[8], q[7]; crz(0.0303) q[8], q[6]; crz(0.0272) q[8], q[5]; crz(0.0345) q[8], q[4]; crz(0.037) q[8], q[3]; crz(0.0235) q[8], q[2]; crz(0.0378) q[8], q[1]; crz(0.0452) q[8], q[0]; crz(0.155) q[7], q[8]; crz(0.0303) q[7], q[6]; crz(0.0272) q[7], q[5]; crz(0.0345) q[7], q[4]; crz(0.037) q[7], q[3]; crz(0.0235) q[7], q[2]; crz(0.0378) q[7], q[1]; crz(0.0452) q[7], q[0]; crz(0.155) q[6], q[8]; crz(0.0363) q[6], q[7]; crz(0.0272) q[6], q[5]; crz(0.0345) q[6], q[4]; crz(0.037) q[6], q[3]; crz(0.0235) q[6], q[2]; crz(0.0378) q[6], q[1]; crz(0.0452) q[6], q[0]; crz(0.155) q[5], q[8]; crz(0.0363) q[5], q[7]; crz(0.0303) q[5], q[6]; crz(0.0345) q[5], q[4]; crz(0.037) q[5], q[3]; crz(0.0235) q[5], q[2]; crz(0.0378) q[5], q[1]; crz(0.0452) q[5], q[0]; crz(0.155) q[4], q[8]; crz(0.0363) q[4], q[7]; crz(0.0303) q[4], q[6]; crz(0.0272) q[4], q[5]; crz(0.037) q[4], q[3]; crz(0.0235) q[4], q[2]; crz(0.0378) q[4], q[1]; crz(0.0452) q[4], q[0]; crz(0.155) q[3], q[8]; crz(0.0363) q[3], q[7]; crz(0.0303) q[3], q[6]; crz(0.0272) q[3], q[5]; crz(0.0345) q[3], q[4]; crz(0.0235) q[3], q[2]; crz(0.0378) q[3], q[1]; crz(0.0452) q[3], q[0]; crz(0.155) q[2], q[8]; crz(0.0363) q[2], q[7]; crz(0.0303) q[2], q[6]; crz(0.0272) q[2], q[5]; crz(0.0345) q[2], q[4]; crz(0.037) q[2], q[3]; crz(0.0378) q[2], q[1]; crz(0.0452) q[2], q[0]; crz(0.155) q[1], q[8]; crz(0.0363) q[1], q[7]; crz(0.0303) q[1], q[6]; crz(0.0272) q[1], q[5]; crz(0.0345) q[1], q[4]; crz(0.037) q[1], q[3]; crz(0.0235) q[1], q[2]; crz(0.0452) q[1], q[0]; crz(0.155) q[0], q[8]; crz(0.0363) q[0], q[7]; crz(0.0303) q[0], q[6]; crz(0.0272) q[0], q[5]; crz(0.0345) q[0], q[4]; crz(0.037) q[0], q[3]; crz(0.0235) q[0], q[2]; crz(0.0378) q[0], q[1]; rx(0.0032) q[0]; rz(-0.1215) q[0]; rx(0.0043) q[1]; rz(-0.1505) q[1]; rx(0.0051) q[2]; rz(-0.1512) q[2]; rx(0.0008) q[3]; rz(-0.1377) q[3]; rx(0.1453) q[4]; rz(0.0192) q[4]; rx(0.0036) q[5]; rz(-0.1396) q[5]; rx(0.0063) q[6]; rz(-0.1262) q[6]; rx(-0.001) q[7]; rz(-0.157) q[7]; rx(0.2058) q[8]; rz(0.0398) q[8]; rx(-0.0003) q[0]; rz(-0.1088) q[0]; rx(-0.0004) q[1]; rz(-0.1551) q[1]; rx(0.0055) q[2]; rz(-0.1238) q[2]; rx(0.0057) q[3]; rz(-0.139) q[3]; rx(0.1419) q[4]; rz(0.0178) q[4]; rx(0.0018) q[5]; rz(-0.1441) q[5]; rx(0.0005) q[6]; rz(-0.1195) q[6]; rx(0.0047) q[7]; rz(-0.1538) q[7]; rx(0.1991) q[8]; rz(0.0758) q[8]; crz(0.0293) q[8], q[7]; crz(0.0307) q[8], q[6]; crz(0.0236) q[8], q[5]; crz(0.0149) q[8], q[4]; crz(0.0339) q[8], q[3]; crz(0.0196) q[8], q[2]; crz(0.0261) q[8], q[1]; crz(0.0401) q[8], q[0]; crz(0.07) q[7], q[8]; crz(0.0307) q[7], q[6]; crz(0.0236) q[7], q[5]; crz(0.0149) q[7], q[4]; crz(0.0339) q[7], q[3]; crz(0.0196) q[7], q[2]; crz(0.0261) q[7], q[1]; crz(0.0401) q[7], q[0]; crz(0.07) q[6], q[8]; crz(0.0293) q[6], q[7]; crz(0.0236) q[6], q[5]; crz(0.0149) q[6], q[4]; crz(0.0339) q[6], q[3]; crz(0.0196) q[6], q[2]; crz(0.0261) q[6], q[1]; crz(0.0401) q[6], q[0]; crz(0.07) q[5], q[8]; crz(0.0293) q[5], q[7]; crz(0.0307) q[5], q[6]; crz(0.0149) q[5], q[4]; crz(0.0339) q[5], q[3]; crz(0.0196) q[5], q[2]; crz(0.0261) q[5], q[1]; crz(0.0401) q[5], q[0]; crz(0.07) q[4], q[8]; crz(0.0293) q[4], q[7]; crz(0.0307) q[4], q[6]; crz(0.0236) q[4], q[5]; crz(0.0339) q[4], q[3]; crz(0.0196) q[4], q[2]; crz(0.0261) q[4], q[1]; crz(0.0401) q[4], q[0]; crz(0.07) q[3], q[8]; crz(0.0293) q[3], q[7]; crz(0.0307) q[3], q[6]; crz(0.0236) q[3], q[5]; crz(0.0149) q[3], q[4]; crz(0.0196) q[3], q[2]; crz(0.0261) q[3], q[1]; crz(0.0401) q[3], q[0]; crz(0.07) q[2], q[8]; crz(0.0293) q[2], q[7]; crz(0.0307) q[2], q[6]; crz(0.0236) q[2], q[5]; crz(0.0149) q[2], q[4]; crz(0.0339) q[2], q[3]; crz(0.0261) q[2], q[1]; crz(0.0401) q[2], q[0]; crz(0.07) q[1], q[8]; crz(0.0293) q[1], q[7]; crz(0.0307) q[1], q[6]; crz(0.0236) q[1], q[5]; crz(0.0149) q[1], q[4]; crz(0.0339) q[1], q[3]; crz(0.0196) q[1], q[2]; crz(0.0401) q[1], q[0]; crz(0.07) q[0], q[8]; crz(0.0293) q[0], q[7]; crz(0.0307) q[0], q[6]; crz(0.0236) q[0], q[5]; crz(0.0149) q[0], q[4]; crz(0.0339) q[0], q[3]; crz(0.0196) q[0], q[2]; crz(0.0261) q[0], q[1]; rx(-0.003) q[0]; rz(0.0008) q[0]; rx(0.0015) q[1]; rz(0.0036) q[1]; rx(-0.0022) q[2]; rz(0.0072) q[2]; rx(0.005) q[3]; rz(0.0009) q[3]; rx(0.1617) q[4]; rz(0.0002) q[4]; rx(0.0025) q[5]; rz(0.0093) q[5]; rx(-0.0009) q[6]; rz(0.0083) q[6]; rx(0.0034) q[7]; rz(0.0099) q[7]; rx(0.2075) q[8]; rz(0.0064) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x144; input float[64] x145; input float[64] x146; input float[64] x147; input float[64] x148; input float[64] x149; input float[64] x15; input float[64] x150; input float[64] x151; input float[64] x152; input float[64] x153; input float[64] x154; input float[64] x155; input float[64] x156; input float[64] x157; input float[64] x158; input float[64] x159; input float[64] x16; input float[64] x160; input float[64] x161; input float[64] x162; input float[64] x163; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x2) q[5]; rz(x10) q[5]; rx(x11) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[8]; rz(x16) q[8]; crz(x17) q[8], q[7]; crz(x18) q[8], q[6]; crz(x19) q[8], q[5]; crz(x20) q[8], q[4]; crz(x21) q[8], q[3]; crz(x22) q[8], q[2]; crz(x23) q[8], q[1]; crz(x24) q[8], q[0]; crz(x25) q[7], q[8]; crz(x18) q[7], q[6]; crz(x19) q[7], q[5]; crz(x20) q[7], q[4]; crz(x21) q[7], q[3]; crz(x22) q[7], q[2]; crz(x23) q[7], q[1]; crz(x24) q[7], q[0]; crz(x25) q[6], q[8]; crz(x17) q[6], q[7]; crz(x19) q[6], q[5]; crz(x20) q[6], q[4]; crz(x21) q[6], q[3]; crz(x22) q[6], q[2]; crz(x23) q[6], q[1]; crz(x24) q[6], q[0]; crz(x25) q[5], q[8]; crz(x17) q[5], q[7]; crz(x18) q[5], q[6]; crz(x20) q[5], q[4]; crz(x21) q[5], q[3]; crz(x22) q[5], q[2]; crz(x23) q[5], q[1]; crz(x24) q[5], q[0]; crz(x25) q[4], q[8]; crz(x17) q[4], q[7]; crz(x18) q[4], q[6]; crz(x19) q[4], q[5]; crz(x21) q[4], q[3]; crz(x22) q[4], q[2]; crz(x23) q[4], q[1]; crz(x24) q[4], q[0]; crz(x25) q[3], q[8]; crz(x17) q[3], q[7]; crz(x18) q[3], q[6]; crz(x19) q[3], q[5]; crz(x20) q[3], q[4]; crz(x22) q[3], q[2]; crz(x23) q[3], q[1]; crz(x24) q[3], q[0]; crz(x25) q[2], q[8]; crz(x17) q[2], q[7]; crz(x18) q[2], q[6]; crz(x19) q[2], q[5]; crz(x20) q[2], q[4]; crz(x21) q[2], q[3]; crz(x23) q[2], q[1]; crz(x24) q[2], q[0]; crz(x25) q[1], q[8]; crz(x17) q[1], q[7]; crz(x18) q[1], q[6]; crz(x19) q[1], q[5]; crz(x20) q[1], q[4]; crz(x21) q[1], q[3]; crz(x22) q[1], q[2]; crz(x24) q[1], q[0]; crz(x25) q[0], q[8]; crz(x17) q[0], q[7]; crz(x18) q[0], q[6]; crz(x19) q[0], q[5]; crz(x20) q[0], q[4]; crz(x21) q[0], q[3]; crz(x22) q[0], q[2]; crz(x23) q[0], q[1]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; rx(x44) q[0]; rz(x45) q[0]; rx(x30) q[1]; rz(x46) q[1]; rx(x47) q[2]; rz(x48) q[2]; rx(x49) q[3]; rz(x50) q[3]; rx(x51) q[4]; rz(x52) q[4]; rx(x53) q[5]; rz(x54) q[5]; rx(x55) q[6]; rz(x56) q[6]; rx(x57) q[7]; rz(x58) q[7]; rx(x59) q[8]; rz(x60) q[8]; crz(x61) q[8], q[7]; crz(x62) q[8], q[6]; crz(x63) q[8], q[5]; crz(x64) q[8], q[4]; crz(x65) q[8], q[3]; crz(x66) q[8], q[2]; crz(x67) q[8], q[1]; crz(x68) q[8], q[0]; crz(x69) q[7], q[8]; crz(x62) q[7], q[6]; crz(x63) q[7], q[5]; crz(x64) q[7], q[4]; crz(x65) q[7], q[3]; crz(x66) q[7], q[2]; crz(x67) q[7], q[1]; crz(x68) q[7], q[0]; crz(x69) q[6], q[8]; crz(x61) q[6], q[7]; crz(x63) q[6], q[5]; crz(x64) q[6], q[4]; crz(x65) q[6], q[3]; crz(x66) q[6], q[2]; crz(x67) q[6], q[1]; crz(x68) q[6], q[0]; crz(x69) q[5], q[8]; crz(x61) q[5], q[7]; crz(x62) q[5], q[6]; crz(x64) q[5], q[4]; crz(x65) q[5], q[3]; crz(x66) q[5], q[2]; crz(x67) q[5], q[1]; crz(x68) q[5], q[0]; crz(x69) q[4], q[8]; crz(x61) q[4], q[7]; crz(x62) q[4], q[6]; crz(x63) q[4], q[5]; crz(x65) q[4], q[3]; crz(x66) q[4], q[2]; crz(x67) q[4], q[1]; crz(x68) q[4], q[0]; crz(x69) q[3], q[8]; crz(x61) q[3], q[7]; crz(x62) q[3], q[6]; crz(x63) q[3], q[5]; crz(x64) q[3], q[4]; crz(x66) q[3], q[2]; crz(x67) q[3], q[1]; crz(x68) q[3], q[0]; crz(x69) q[2], q[8]; crz(x61) q[2], q[7]; crz(x62) q[2], q[6]; crz(x63) q[2], q[5]; crz(x64) q[2], q[4]; crz(x65) q[2], q[3]; crz(x67) q[2], q[1]; crz(x68) q[2], q[0]; crz(x69) q[1], q[8]; crz(x61) q[1], q[7]; crz(x62) q[1], q[6]; crz(x63) q[1], q[5]; crz(x64) q[1], q[4]; crz(x65) q[1], q[3]; crz(x66) q[1], q[2]; crz(x68) q[1], q[0]; crz(x69) q[0], q[8]; crz(x61) q[0], q[7]; crz(x62) q[0], q[6]; crz(x63) q[0], q[5]; crz(x64) q[0], q[4]; crz(x65) q[0], q[3]; crz(x66) q[0], q[2]; crz(x67) q[0], q[1]; rx(x70) q[0]; rz(x71) q[0]; rx(x28) q[1]; rz(x72) q[1]; rx(x73) q[2]; rz(x74) q[2]; rx(x75) q[3]; rz(x76) q[3]; rx(x77) q[4]; rz(x78) q[4]; rx(x79) q[5]; rz(x80) q[5]; rx(x81) q[6]; rz(x82) q[6]; rx(x30) q[7]; rz(x83) q[7]; rx(x84) q[8]; rz(x85) q[8]; rx(x81) q[0]; rz(x86) q[0]; rx(x87) q[1]; rz(x88) q[1]; rx(x89) q[2]; rz(x90) q[2]; rx(x28) q[3]; rz(x91) q[3]; rx(x92) q[4]; rz(x93) q[4]; rx(x94) q[5]; rz(x95) q[5]; rx(x96) q[6]; rz(x97) q[6]; rx(x98) q[7]; rz(x31) q[7]; rx(x99) q[8]; rz(x100) q[8]; crz(x101) q[8], q[7]; crz(x102) q[8], q[6]; crz(x103) q[8], q[5]; crz(x104) q[8], q[4]; crz(x105) q[8], q[3]; crz(x106) q[8], q[2]; crz(x107) q[8], q[1]; crz(x108) q[8], q[0]; crz(x109) q[7], q[8]; crz(x102) q[7], q[6]; crz(x103) q[7], q[5]; crz(x104) q[7], q[4]; crz(x105) q[7], q[3]; crz(x106) q[7], q[2]; crz(x107) q[7], q[1]; crz(x108) q[7], q[0]; crz(x109) q[6], q[8]; crz(x101) q[6], q[7]; crz(x103) q[6], q[5]; crz(x104) q[6], q[4]; crz(x105) q[6], q[3]; crz(x106) q[6], q[2]; crz(x107) q[6], q[1]; crz(x108) q[6], q[0]; crz(x109) q[5], q[8]; crz(x101) q[5], q[7]; crz(x102) q[5], q[6]; crz(x104) q[5], q[4]; crz(x105) q[5], q[3]; crz(x106) q[5], q[2]; crz(x107) q[5], q[1]; crz(x108) q[5], q[0]; crz(x109) q[4], q[8]; crz(x101) q[4], q[7]; crz(x102) q[4], q[6]; crz(x103) q[4], q[5]; crz(x105) q[4], q[3]; crz(x106) q[4], q[2]; crz(x107) q[4], q[1]; crz(x108) q[4], q[0]; crz(x109) q[3], q[8]; crz(x101) q[3], q[7]; crz(x102) q[3], q[6]; crz(x103) q[3], q[5]; crz(x104) q[3], q[4]; crz(x106) q[3], q[2]; crz(x107) q[3], q[1]; crz(x108) q[3], q[0]; crz(x109) q[2], q[8]; crz(x101) q[2], q[7]; crz(x102) q[2], q[6]; crz(x103) q[2], q[5]; crz(x104) q[2], q[4]; crz(x105) q[2], q[3]; crz(x107) q[2], q[1]; crz(x108) q[2], q[0]; crz(x109) q[1], q[8]; crz(x101) q[1], q[7]; crz(x102) q[1], q[6]; crz(x103) q[1], q[5]; crz(x104) q[1], q[4]; crz(x105) q[1], q[3]; crz(x106) q[1], q[2]; crz(x108) q[1], q[0]; crz(x109) q[0], q[8]; crz(x101) q[0], q[7]; crz(x102) q[0], q[6]; crz(x103) q[0], q[5]; crz(x104) q[0], q[4]; crz(x105) q[0], q[3]; crz(x106) q[0], q[2]; crz(x107) q[0], q[1]; rx(x110) q[0]; rz(x111) q[0]; rx(x49) q[1]; rz(x112) q[1]; rx(x113) q[2]; rz(x114) q[2]; rx(x115) q[3]; rz(x116) q[3]; rx(x117) q[4]; rz(x118) q[4]; rx(x55) q[5]; rz(x119) q[5]; rx(x120) q[6]; rz(x121) q[6]; rx(x122) q[7]; rz(x123) q[7]; rx(x124) q[8]; rz(x125) q[8]; rx(x81) q[0]; rz(x126) q[0]; rx(x127) q[1]; rz(x128) q[1]; rx(x129) q[2]; rz(x130) q[2]; rx(x131) q[3]; rz(x132) q[3]; rx(x133) q[4]; rz(x134) q[4]; rx(x135) q[5]; rz(x136) q[5]; rx(x75) q[6]; rz(x137) q[6]; rx(x138) q[7]; rz(x139) q[7]; rx(x140) q[8]; rz(x141) q[8]; crz(x142) q[8], q[7]; crz(x63) q[8], q[6]; crz(x143) q[8], q[5]; crz(x144) q[8], q[4]; crz(x145) q[8], q[3]; crz(x146) q[8], q[2]; crz(x147) q[8], q[1]; crz(x148) q[8], q[0]; crz(x149) q[7], q[8]; crz(x63) q[7], q[6]; crz(x143) q[7], q[5]; crz(x144) q[7], q[4]; crz(x145) q[7], q[3]; crz(x146) q[7], q[2]; crz(x147) q[7], q[1]; crz(x148) q[7], q[0]; crz(x149) q[6], q[8]; crz(x142) q[6], q[7]; crz(x143) q[6], q[5]; crz(x144) q[6], q[4]; crz(x145) q[6], q[3]; crz(x146) q[6], q[2]; crz(x147) q[6], q[1]; crz(x148) q[6], q[0]; crz(x149) q[5], q[8]; crz(x142) q[5], q[7]; crz(x63) q[5], q[6]; crz(x144) q[5], q[4]; crz(x145) q[5], q[3]; crz(x146) q[5], q[2]; crz(x147) q[5], q[1]; crz(x148) q[5], q[0]; crz(x149) q[4], q[8]; crz(x142) q[4], q[7]; crz(x63) q[4], q[6]; crz(x143) q[4], q[5]; crz(x145) q[4], q[3]; crz(x146) q[4], q[2]; crz(x147) q[4], q[1]; crz(x148) q[4], q[0]; crz(x149) q[3], q[8]; crz(x142) q[3], q[7]; crz(x63) q[3], q[6]; crz(x143) q[3], q[5]; crz(x144) q[3], q[4]; crz(x146) q[3], q[2]; crz(x147) q[3], q[1]; crz(x148) q[3], q[0]; crz(x149) q[2], q[8]; crz(x142) q[2], q[7]; crz(x63) q[2], q[6]; crz(x143) q[2], q[5]; crz(x144) q[2], q[4]; crz(x145) q[2], q[3]; crz(x147) q[2], q[1]; crz(x148) q[2], q[0]; crz(x149) q[1], q[8]; crz(x142) q[1], q[7]; crz(x63) q[1], q[6]; crz(x143) q[1], q[5]; crz(x144) q[1], q[4]; crz(x145) q[1], q[3]; crz(x146) q[1], q[2]; crz(x148) q[1], q[0]; crz(x149) q[0], q[8]; crz(x142) q[0], q[7]; crz(x63) q[0], q[6]; crz(x143) q[0], q[5]; crz(x144) q[0], q[4]; crz(x145) q[0], q[3]; crz(x146) q[0], q[2]; crz(x147) q[0], q[1]; rx(x150) q[0]; rz(x115) q[0]; rx(x151) q[1]; rz(x55) q[1]; rx(x44) q[2]; rz(x152) q[2]; rx(x79) q[3]; rz(x153) q[3]; rx(x154) q[4]; rz(x155) q[4]; rx(x156) q[5]; rz(x157) q[5]; rx(x158) q[6]; rz(x159) q[6]; rx(x160) q[7]; rz(x161) q[7]; rx(x162) q[8]; rz(x163) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"source": 0, "sink": 8}
{"circuits": [], "gradients": []}
29e20e1b5f946c33b32370f6ba5b02af
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 8}, {"capacity": 2, "source": 1, "target": 11}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 6}, {"capacity": 2, "source": 2, "target": 9}, {"capacity": 2, "source": 2, "target": 10}, {"capacity": 1, "source": 3, "target": 4}, {"capacity": 1, "source": 3, "target": 8}, {"capacity": 2, "source": 3, "target": 9}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 2, "source": 4, "target": 2}, {"capacity": 2, "source": 4, "target": 3}, {"capacity": 2, "source": 4, "target": 8}, {"capacity": 1, "source": 4, "target": 9}, {"capacity": 2, "source": 4, "target": 10}, {"capacity": 1, "source": 4, "target": 11}, {"capacity": 2, "source": 5, "target": 2}, {"capacity": 2, "source": 5, "target": 4}, {"capacity": 1, "source": 5, "target": 10}, {"capacity": 2, "source": 6, "target": 3}, {"capacity": 1, "source": 6, "target": 8}, {"capacity": 2, "source": 6, "target": 10}, {"capacity": 1, "source": 6, "target": 11}, {"capacity": 2, "source": 7, "target": 9}, {"capacity": 1, "source": 8, "target": 6}, {"capacity": 1, "source": 8, "target": 11}, {"capacity": 1, "source": 9, "target": 1}, {"capacity": 2, "source": 9, "target": 4}, {"capacity": 2, "source": 9, "target": 6}, {"capacity": 1, "source": 9, "target": 8}, {"capacity": 1, "source": 10, "target": 1}]}
{"states": [0, 256], "expectation_value": -13.37793465516484, "params": [-0.0037, 0.0029000000000000002, -0.004, -0.0017000000000000001, -0.0038, -0.0004, 0.3073, 0.30210000000000004, -0.0067, -0.0017000000000000001, -0.0019, -0.0012000000000000001, -0.0011, -0.0038, 0.10890000000000001, 0.194, -0.0028, -0.0082, 0.051500000000000004, 0.0683, -0.0082, -0.0006000000000000001, -0.0041, -0.0022, -0.0032, -0.0002, -0.005, -0.0045000000000000005, -0.0051, 0.0044, 0.3035, 0.30810000000000004, -0.0038, -0.0007, -0.0047, -0.0, -0.0039000000000000003, 0.0025, 0.2449, 0.24680000000000002, -0.0048000000000000004, -0.0011, 0.1206, 0.1743, -0.0013000000000000002, -0.0029000000000000002, 0.0016, -0.0048000000000000004, -0.0008, -0.0032, -0.0004, -0.0007, -0.0036000000000000003, -0.0045000000000000005, 0.3074, 0.3069, -0.0026000000000000003, 0.0006000000000000001, -0.0036000000000000003, -0.0008, -0.0057, -0.0034000000000000002, 0.2484, 0.2479, -0.0004, -0.001, 0.21780000000000002, 0.24400000000000002, 0.0007, -0.0055000000000000005, -0.0034000000000000002, -0.0037, 0.24000000000000002, 0.1686, 0.0868, 0.0263, 0.21080000000000002, 0.0132, 0.2295, 0.1887, 0.0001, 0.2358, -0.0183, -0.0, 0.2437, 0.0079, 0.2364, 0.23850000000000002, -0.014400000000000001, 0.24180000000000001, 0.2298, -0.0095, 0.010100000000000001, 0.15940000000000001, 0.0656, 0.0194, 0.2364, 0.1023, 0.003, -0.033800000000000004, 0.08220000000000001, -0.0029000000000000002, 0.23570000000000002, -0.0131, 0.0001, 0.22920000000000001, -0.0051, 0.0002, 0.2356, -0.003, 0.2427, 0.1962, 0.003, 0.23750000000000002, 0.1554, 0.001, -0.012400000000000001, 0.19, 0.06470000000000001, -0.0024000000000000002, 0.23550000000000001, -0.0698, 0.004, -0.0264, -0.0506, 0.0162, 0.22640000000000002, -0.0711, 0.0004, 0.2331, -0.0059, -0.0001, 0.1124, -0.0045000000000000005, 0.2383, -0.19740000000000002, 0.0019, 0.2341, 0.2021, -0.0001, -0.0085, 0.0743, -0.063, 0.0055000000000000005], "bitstrings": ["111111111111", "111011111111"], "total_optimization_steps": 30, "probabilities": [0.19312822460375528, 0.3298575491076224], "optimization_time": 42.80742311477661}
-0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(10)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(9) @ Z(11)) + -1.25 * Z(5) + -0.25 * Z(0) + -1.25 * Z(10) + -0.75 * Z(11) + 1.0 * Z(1) + 1.5 * Z(6) + 0.0 * Z(8) + 0.25 * Z(3) + 0.5 * Z(4) + -1.5 * Z(2) + 1.25 * Z(7) + 0.5 * Z(9)
14
12
3
{"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; ry(-0.0037) q[0]; ry(-0.004) q[1]; ry(-0.0038) q[2]; ry(0.3073) q[3]; ry(-0.0067) q[4]; ry(-0.0019) q[5]; ry(-0.0011) q[6]; ry(0.1089) q[7]; ry(-0.0028) q[8]; ry(0.0515) q[9]; ry(-0.0082) q[10]; ry(-0.0041) q[11]; crx(0.24) q[11], q[0]; crx(0.0656) q[10], q[11]; crx(0.0101) q[9], q[10]; crx(0.2298) q[8], q[9]; crx(-0.0144) q[7], q[8]; crx(0.2364) q[6], q[7]; crx(0.2437) q[5], q[6]; crx(-0.0183) q[4], q[5]; crx(0.0001) q[3], q[4]; crx(0.2295) q[2], q[3]; crx(0.2108) q[1], q[2]; crx(0.0868) q[0], q[1]; ry(0.0029) q[0]; ry(-0.0017) q[1]; ry(-0.0004) q[2]; ry(0.3021) q[3]; ry(-0.0017) q[4]; ry(-0.0012) q[5]; ry(-0.0038) q[6]; ry(0.194) q[7]; ry(-0.0082) q[8]; ry(0.0683) q[9]; ry(-0.0006) q[10]; ry(-0.0022) q[11]; crx(0.1686) q[11], q[10]; crx(0.0263) q[0], q[11]; crx(0.0132) q[0], q[1]; crx(0.1887) q[1], q[2]; crx(0.2358) q[2], q[3]; crx(0) q[3], q[4]; crx(0.0079) q[4], q[5]; crx(0.2385) q[5], q[6]; crx(0.2418) q[6], q[7]; crx(-0.0095) q[7], q[8]; crx(0.1594) q[8], q[9]; crx(0.0194) q[9], q[10]; ry(-0.0032) q[0]; ry(-0.005) q[1]; ry(-0.0051) q[2]; ry(0.3035) q[3]; ry(-0.0038) q[4]; ry(-0.0047) q[5]; ry(-0.0039) q[6]; ry(0.2449) q[7]; ry(-0.0048) q[8]; ry(0.1206) q[9]; ry(-0.0013) q[10]; ry(0.0016) q[11]; crx(0.2364) q[11], q[0]; crx(0.0647) q[10], q[11]; crx(-0.0124) q[9], q[10]; crx(0.1554) q[8], q[9]; crx(0.003) q[7], q[8]; crx(0.2427) q[6], q[7]; crx(0.2356) q[5], q[6]; crx(-0.0051) q[4], q[5]; crx(0.0001) q[3], q[4]; crx(0.2357) q[2], q[3]; crx(0.0822) q[1], q[2]; crx(0.003) q[0], q[1]; ry(-0.0002) q[0]; ry(-0.0045) q[1]; ry(0.0044) q[2]; ry(0.3081) q[3]; ry(-0.0007) q[4]; ry(0) q[5]; ry(0.0025) q[6]; ry(0.2468) q[7]; ry(-0.0011) q[8]; ry(0.1743) q[9]; ry(-0.0029) q[10]; ry(-0.0048) q[11]; crx(0.1023) q[11], q[10]; crx(-0.0338) q[0], q[11]; crx(-0.0029) q[0], q[1]; crx(-0.0131) q[1], q[2]; crx(0.2292) q[2], q[3]; crx(0.0002) q[3], q[4]; crx(-0.003) q[4], q[5]; crx(0.1962) q[5], q[6]; crx(0.2375) q[6], q[7]; crx(0.001) q[7], q[8]; crx(0.19) q[8], q[9]; crx(-0.0024) q[9], q[10]; ry(-0.0008) q[0]; ry(-0.0004) q[1]; ry(-0.0036) q[2]; ry(0.3074) q[3]; ry(-0.0026) q[4]; ry(-0.0036) q[5]; ry(-0.0057) q[6]; ry(0.2484) q[7]; ry(-0.0004) q[8]; ry(0.2178) q[9]; ry(0.0007) q[10]; ry(-0.0034) q[11]; crx(0.2355) q[11], q[0]; crx(-0.063) q[10], q[11]; crx(-0.0085) q[9], q[10]; crx(0.2021) q[8], q[9]; crx(0.0019) q[7], q[8]; crx(0.2383) q[6], q[7]; crx(0.1124) q[5], q[6]; crx(-0.0059) q[4], q[5]; crx(0.0004) q[3], q[4]; crx(0.2264) q[2], q[3]; crx(-0.0506) q[1], q[2]; crx(0.004) q[0], q[1]; ry(-0.0032) q[0]; ry(-0.0007) q[1]; ry(-0.0045) q[2]; ry(0.3069) q[3]; ry(0.0006) q[4]; ry(-0.0008) q[5]; ry(-0.0034) q[6]; ry(0.2479) q[7]; ry(-0.001) q[8]; ry(0.244) q[9]; ry(-0.0055) q[10]; ry(-0.0037) q[11]; crx(-0.0698) q[11], q[10]; crx(-0.0264) q[0], q[11]; crx(0.0162) q[0], q[1]; crx(-0.0711) q[1], q[2]; crx(0.2331) q[2], q[3]; crx(-0.0001) q[3], q[4]; crx(-0.0045) q[4], q[5]; crx(-0.1974) q[5], q[6]; crx(0.2341) q[6], q[7]; crx(-0.0001) q[7], q[8]; crx(0.0743) q[8], q[9]; crx(0.0055) q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; crx(x12) q[11], q[0]; crx(x13) q[10], q[11]; crx(x14) q[9], q[10]; crx(x15) q[8], q[9]; crx(x16) q[7], q[8]; crx(x17) q[6], q[7]; crx(x18) q[5], q[6]; crx(x19) q[4], q[5]; crx(x20) q[3], q[4]; crx(x21) q[2], q[3]; crx(x22) q[1], q[2]; crx(x23) q[0], q[1]; ry(x24) q[0]; ry(x25) q[1]; ry(x26) q[2]; ry(x27) q[3]; ry(x25) q[4]; ry(x28) q[5]; ry(x2) q[6]; ry(x29) q[7]; ry(x10) q[8]; ry(x30) q[9]; ry(x31) q[10]; ry(x32) q[11]; crx(x33) q[11], q[10]; crx(x34) q[0], q[11]; crx(x35) q[0], q[1]; crx(x36) q[1], q[2]; crx(x37) q[2], q[3]; crx(x38) q[3], q[4]; crx(x39) q[4], q[5]; crx(x40) q[5], q[6]; crx(x41) q[6], q[7]; crx(x42) q[7], q[8]; crx(x43) q[8], q[9]; crx(x44) q[9], q[10]; ry(x45) q[0]; ry(x46) q[1]; ry(x47) q[2]; ry(x48) q[3]; ry(x2) q[4]; ry(x49) q[5]; ry(x50) q[6]; ry(x51) q[7]; ry(x52) q[8]; ry(x53) q[9]; ry(x54) q[10]; ry(x55) q[11]; crx(x17) q[11], q[0]; crx(x56) q[10], q[11]; crx(x57) q[9], q[10]; crx(x58) q[8], q[9]; crx(x59) q[7], q[8]; crx(x60) q[6], q[7]; crx(x61) q[5], q[6]; crx(x47) q[4], q[5]; crx(x20) q[3], q[4]; crx(x62) q[2], q[3]; crx(x63) q[1], q[2]; crx(x59) q[0], q[1]; ry(x64) q[0]; ry(x65) q[1]; ry(x66) q[2]; ry(x67) q[3]; ry(x68) q[4]; ry(x38) q[5]; ry(x69) q[6]; ry(x70) q[7]; ry(x6) q[8]; ry(x71) q[9]; ry(x72) q[10]; ry(x52) q[11]; crx(x73) q[11], q[10]; crx(x74) q[0], q[11]; crx(x72) q[0], q[1]; crx(x75) q[1], q[2]; crx(x76) q[2], q[3]; crx(x77) q[3], q[4]; crx(x78) q[4], q[5]; crx(x79) q[5], q[6]; crx(x80) q[6], q[7]; crx(x81) q[7], q[8]; crx(x82) q[8], q[9]; crx(x83) q[9], q[10]; ry(x84) q[0]; ry(x26) q[1]; ry(x85) q[2]; ry(x86) q[3]; ry(x87) q[4]; ry(x85) q[5]; ry(x88) q[6]; ry(x89) q[7]; ry(x26) q[8]; ry(x90) q[9]; ry(x91) q[10]; ry(x92) q[11]; crx(x93) q[11], q[0]; crx(x94) q[10], q[11]; crx(x95) q[9], q[10]; crx(x96) q[8], q[9]; crx(x97) q[7], q[8]; crx(x98) q[6], q[7]; crx(x99) q[5], q[6]; crx(x100) q[4], q[5]; crx(x101) q[3], q[4]; crx(x102) q[2], q[3]; crx(x103) q[1], q[2]; crx(x104) q[0], q[1]; ry(x45) q[0]; ry(x68) q[1]; ry(x65) q[2]; ry(x105) q[3]; ry(x106) q[4]; ry(x84) q[5]; ry(x92) q[6]; ry(x107) q[7]; ry(x108) q[8]; ry(x109) q[9]; ry(x110) q[10]; ry(x0) q[11]; crx(x111) q[11], q[10]; crx(x112) q[0], q[11]; crx(x113) q[0], q[1]; crx(x114) q[1], q[2]; crx(x115) q[2], q[3]; crx(x116) q[3], q[4]; crx(x65) q[4], q[5]; crx(x117) q[5], q[6]; crx(x118) q[6], q[7]; crx(x116) q[7], q[8]; crx(x119) q[8], q[9]; crx(x120) q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"source": 0, "sink": 11}
{"circuits": [], "gradients": []}
34d5dc2e9aad35b904c913d8064475cf
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 5}, {"source": 5, "target": 8}, {"source": 6, "target": 7}, {"source": 6, "target": 8}, {"source": 7, "target": 8}]}
{"states": [26, 90], "expectation_value": -3.061993061226323, "params": [0.0239, 0.024200000000000003, 0.0357, 0.042800000000000005, 0.23420000000000002, 0.23470000000000002, 0.025, 0.030600000000000002, 0.3024, 0.2969, 0.3003, 0.298, 0.1184, 0.1213, 0.28700000000000003, 0.28900000000000003, -0.006500000000000001, -0.0076, 0.0199, 0.0187, 0.035300000000000005, 0.0366, 0.23370000000000002, 0.2346, 0.0302, 0.021400000000000002, 0.29710000000000003, 0.3045, 0.2984, 0.3048, 0.12150000000000001, 0.11370000000000001, 0.28700000000000003, 0.27240000000000003, -0.010700000000000001, -0.0082, 0.020900000000000002, 0.0229, 0.0344, 0.0388, 0.23900000000000002, 0.2366, 0.0245, 0.0287, 0.3022, 0.2979, 0.29960000000000003, 0.3022, 0.11520000000000001, 0.1073, 0.2713, 0.2664, -0.0108, -0.0102, 0.0199, 0.020300000000000002, 0.0328, 0.0332, 0.23650000000000002, 0.24080000000000001, 0.0269, 0.023, 0.3008, 0.298, 0.30560000000000004, 0.2982, 0.1091, 0.1115, 0.2696, 0.2863, -0.0095, -0.0095, -0.1696, -0.161, 0.1499, 0.1501, 0.1097, 0.14830000000000002, 0.038700000000000005, -0.1691, 0.1507, 0.047, -0.0023, 0.1474, 0.0239, 0.0119, 0.16540000000000002, 0.0651, 0.1197, -0.09530000000000001, -0.17370000000000002, 0.18100000000000002, 0.1451, 0.1578, -0.1797, 0.14120000000000002, 0.0514, -0.18100000000000002, 0.13820000000000002, 0.0529, 0.0171, 0.116, 0.0679, 0.007500000000000001, -0.1487, 0.0155, 0.18530000000000002, -0.1665, -0.17850000000000002, 0.1835, 0.13470000000000001, 0.1718, -0.15810000000000002, 0.12340000000000001, 0.049800000000000004, -0.15510000000000002, 0.0309, 0.048, -0.015000000000000001, -0.0789, -0.1203, -0.0356, -0.18530000000000002, -0.1665, 0.1983, -0.1862, -0.17880000000000001, 0.0067, 0.09920000000000001, 0.0086, -0.1515, 0.0009000000000000001, 0.0454, 0.0041, -0.09280000000000001, 0.0066, -0.048, 0.0098, -0.1715, 0.0026000000000000003, -0.188, 0.0098, 0.20170000000000002, 0.0009000000000000001], "bitstrings": ["111100101", "110100101"], "total_optimization_steps": 30, "probabilities": [0.16252060283937747, 0.3083409807867623], "optimization_time": 15.307172536849976}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(8) + -0.5 * Z(6) + -0.5 * Z(7)
13
9
4
{"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110101", "001110011", "101100101", "101100011", "110001110", "110001101", "110100011", "110001011", "110100101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; ry(0.0239) q[0]; ry(0.0357) q[1]; ry(0.2342) q[2]; ry(0.025) q[3]; ry(0.3024) q[4]; ry(0.3003) q[5]; ry(0.1184) q[6]; ry(0.287) q[7]; ry(-0.0065) q[8]; crz(-0.1696) q[8], q[0]; crz(0.1197) q[7], q[8]; crz(0.1654) q[6], q[7]; crz(0.0239) q[5], q[6]; crz(-0.0023) q[4], q[5]; crz(0.1507) q[3], q[4]; crz(0.0387) q[2], q[3]; crz(0.1097) q[1], q[2]; crz(0.1499) q[0], q[1]; ry(0.0242) q[0]; ry(0.0428) q[1]; ry(0.2347) q[2]; ry(0.0306) q[3]; ry(0.2969) q[4]; ry(0.298) q[5]; ry(0.1213) q[6]; ry(0.289) q[7]; ry(-0.0076) q[8]; crz(-0.161) q[8], q[7]; crz(0.1501) q[0], q[8]; crz(0.1483) q[0], q[1]; crz(-0.1691) q[1], q[2]; crz(0.047) q[2], q[3]; crz(0.1474) q[3], q[4]; crz(0.0119) q[4], q[5]; crz(0.0651) q[5], q[6]; crz(-0.0953) q[6], q[7]; ry(0.0199) q[0]; ry(0.0353) q[1]; ry(0.2337) q[2]; ry(0.0302) q[3]; ry(0.2971) q[4]; ry(0.2984) q[5]; ry(0.1215) q[6]; ry(0.287) q[7]; ry(-0.0107) q[8]; crz(-0.1737) q[8], q[0]; crz(0.1853) q[7], q[8]; crz(-0.1487) q[6], q[7]; crz(0.0679) q[5], q[6]; crz(0.0171) q[4], q[5]; crz(0.1382) q[3], q[4]; crz(0.0514) q[2], q[3]; crz(-0.1797) q[1], q[2]; crz(0.1451) q[0], q[1]; ry(0.0187) q[0]; ry(0.0366) q[1]; ry(0.2346) q[2]; ry(0.0214) q[3]; ry(0.3045) q[4]; ry(0.3048) q[5]; ry(0.1137) q[6]; ry(0.2724) q[7]; ry(-0.0082) q[8]; crz(0.181) q[8], q[7]; crz(0.1578) q[0], q[8]; crz(0.1412) q[0], q[1]; crz(-0.181) q[1], q[2]; crz(0.0529) q[2], q[3]; crz(0.116) q[3], q[4]; crz(0.0075) q[4], q[5]; crz(0.0155) q[5], q[6]; crz(-0.1665) q[6], q[7]; ry(0.0209) q[0]; ry(0.0344) q[1]; ry(0.239) q[2]; ry(0.0245) q[3]; ry(0.3022) q[4]; ry(0.2996) q[5]; ry(0.1152) q[6]; ry(0.2713) q[7]; ry(-0.0108) q[8]; crz(-0.1785) q[8], q[0]; crz(0.1983) q[7], q[8]; crz(-0.1853) q[6], q[7]; crz(-0.1203) q[5], q[6]; crz(-0.015) q[4], q[5]; crz(0.0309) q[3], q[4]; crz(0.0498) q[2], q[3]; crz(-0.1581) q[1], q[2]; crz(0.1347) q[0], q[1]; ry(0.0229) q[0]; ry(0.0388) q[1]; ry(0.2366) q[2]; ry(0.0287) q[3]; ry(0.2979) q[4]; ry(0.3022) q[5]; ry(0.1073) q[6]; ry(0.2664) q[7]; ry(-0.0102) q[8]; crz(0.1835) q[8], q[7]; crz(0.1718) q[0], q[8]; crz(0.1234) q[0], q[1]; crz(-0.1551) q[1], q[2]; crz(0.048) q[2], q[3]; crz(-0.0789) q[3], q[4]; crz(-0.0356) q[4], q[5]; crz(-0.1665) q[5], q[6]; crz(-0.1862) q[6], q[7]; ry(0.0199) q[0]; ry(0.0328) q[1]; ry(0.2365) q[2]; ry(0.0269) q[3]; ry(0.3008) q[4]; ry(0.3056) q[5]; ry(0.1091) q[6]; ry(0.2696) q[7]; ry(-0.0095) q[8]; crz(-0.1788) q[8], q[0]; crz(0.2017) q[7], q[8]; crz(-0.188) q[6], q[7]; crz(-0.1715) q[5], q[6]; crz(-0.048) q[4], q[5]; crz(-0.0928) q[3], q[4]; crz(0.0454) q[2], q[3]; crz(-0.1515) q[1], q[2]; crz(0.0992) q[0], q[1]; ry(0.0203) q[0]; ry(0.0332) q[1]; ry(0.2408) q[2]; ry(0.023) q[3]; ry(0.298) q[4]; ry(0.2982) q[5]; ry(0.1115) q[6]; ry(0.2863) q[7]; ry(-0.0095) q[8]; crz(0.0067) q[8], q[7]; crz(0.0086) q[0], q[8]; crz(0.0009) q[0], q[1]; crz(0.0041) q[1], q[2]; crz(0.0066) q[2], q[3]; crz(0.0098) q[3], q[4]; crz(0.0026) q[4], q[5]; crz(0.0098) q[5], q[6]; crz(0.0009) q[6], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[9] c; qubit[9] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; crz(x9) q[8], q[0]; crz(x10) q[7], q[8]; crz(x11) q[6], q[7]; crz(x0) q[5], q[6]; crz(x12) q[4], q[5]; crz(x13) q[3], q[4]; crz(x14) q[2], q[3]; crz(x15) q[1], q[2]; crz(x16) q[0], q[1]; ry(x17) q[0]; ry(x18) q[1]; ry(x19) q[2]; ry(x20) q[3]; ry(x21) q[4]; ry(x22) q[5]; ry(x23) q[6]; ry(x24) q[7]; ry(x25) q[8]; crz(x26) q[8], q[7]; crz(x27) q[0], q[8]; crz(x28) q[0], q[1]; crz(x29) q[1], q[2]; crz(x30) q[2], q[3]; crz(x31) q[3], q[4]; crz(x32) q[4], q[5]; crz(x33) q[5], q[6]; crz(x34) q[6], q[7]; ry(x35) q[0]; ry(x36) q[1]; ry(x37) q[2]; ry(x38) q[3]; ry(x39) q[4]; ry(x40) q[5]; ry(x41) q[6]; ry(x7) q[7]; ry(x42) q[8]; crz(x43) q[8], q[0]; crz(x44) q[7], q[8]; crz(x45) q[6], q[7]; crz(x46) q[5], q[6]; crz(x47) q[4], q[5]; crz(x48) q[3], q[4]; crz(x49) q[2], q[3]; crz(x50) q[1], q[2]; crz(x51) q[0], q[1]; ry(x52) q[0]; ry(x53) q[1]; ry(x54) q[2]; ry(x55) q[3]; ry(x56) q[4]; ry(x57) q[5]; ry(x58) q[6]; ry(x59) q[7]; ry(x60) q[8]; crz(x61) q[8], q[7]; crz(x62) q[0], q[8]; crz(x63) q[0], q[1]; crz(x64) q[1], q[2]; crz(x65) q[2], q[3]; crz(x66) q[3], q[4]; crz(x67) q[4], q[5]; crz(x68) q[5], q[6]; crz(x69) q[6], q[7]; ry(x70) q[0]; ry(x71) q[1]; ry(x72) q[2]; ry(x73) q[3]; ry(x74) q[4]; ry(x75) q[5]; ry(x76) q[6]; ry(x77) q[7]; ry(x78) q[8]; crz(x79) q[8], q[0]; crz(x80) q[7], q[8]; crz(x81) q[6], q[7]; crz(x82) q[5], q[6]; crz(x83) q[4], q[5]; crz(x84) q[3], q[4]; crz(x85) q[2], q[3]; crz(x86) q[1], q[2]; crz(x87) q[0], q[1]; ry(x88) q[0]; ry(x89) q[1]; ry(x90) q[2]; ry(x91) q[3]; ry(x92) q[4]; ry(x74) q[5]; ry(x93) q[6]; ry(x94) q[7]; ry(x95) q[8]; crz(x96) q[8], q[7]; crz(x97) q[0], q[8]; crz(x98) q[0], q[1]; crz(x99) q[1], q[2]; crz(x100) q[2], q[3]; crz(x101) q[3], q[4]; crz(x102) q[4], q[5]; crz(x69) q[5], q[6]; crz(x103) q[6], q[7]; ry(x35) q[0]; ry(x104) q[1]; ry(x105) q[2]; ry(x106) q[3]; ry(x107) q[4]; ry(x108) q[5]; ry(x109) q[6]; ry(x110) q[7]; ry(x111) q[8]; crz(x112) q[8], q[0]; crz(x113) q[7], q[8]; crz(x114) q[6], q[7]; crz(x115) q[5], q[6]; crz(x116) q[4], q[5]; crz(x117) q[3], q[4]; crz(x118) q[2], q[3]; crz(x119) q[1], q[2]; crz(x120) q[0], q[1]; ry(x121) q[0]; ry(x122) q[1]; ry(x123) q[2]; ry(x124) q[3]; ry(x22) q[4]; ry(x125) q[5]; ry(x126) q[6]; ry(x127) q[7]; ry(x111) q[8]; crz(x128) q[8], q[7]; crz(x129) q[0], q[8]; crz(x130) q[0], q[1]; crz(x131) q[1], q[2]; crz(x132) q[2], q[3]; crz(x133) q[3], q[4]; crz(x134) q[4], q[5]; crz(x133) q[5], q[6]; crz(x130) q[6], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
7201704138146815142
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 5, 6, 9, 11], [1, 3, 4, 6], [0, 3, 4, 5, 8, 9, 10], [3, 5, 6, 10, 11], [0, 1, 2, 4, 6, 7, 8, 9, 11], [4, 7, 8, 9, 10], [1, 4, 5, 7, 9, 10], [0, 9, 3, 7], [0, 1, 3, 4, 5, 7, 8, 10, 11], [1, 2, 4, 5, 7, 8, 9], [2, 11, 5, 7], [2, 3, 4, 5, 7, 8, 9], [1, 3, 6, 7, 8, 9, 10], [9, 10, 11, 6], [2, 3, 4, 5, 9, 10, 11], [8, 1, 5, 6], [2, 5, 6], [5, 6, 7, 8, 9, 10], [0, 2, 4, 5, 7, 8], [0, 1, 3, 5, 6, 9, 10]]}
{"states": [3068, 509], "expectation_value": -3.0731221264482453, "params": [[[1.5738, 1.4205], [0.0218, 1.4121000000000001], [-1.5876000000000001, 1.5477], [-0.030000000000000002, 1.5986], [0.1676, 0.1208], [0.4521, 0.24500000000000002], [0.2805, 0.7566], [0.6703, 0.2685], [0.6828000000000001, 0.5844], [0.6792, 0.9018], [0.9841000000000001, -0.9026000000000001], [1.2421, 1.7629000000000001]]], "bitstrings": ["010000000011", "111000000010"], "total_optimization_steps": 210, "probabilities": [0.08609962978211515, 0.08641566428540824], "optimization_time": 14.397480249404907}
0.07539682539682539 * (Z(0) @ Z(1)) + 0.16865079365079363 * (Z(3) @ Z(1)) + 0.16865079365079363 * (Z(3) @ Z(0)) + 0.20198412698412696 * (Z(5) @ Z(1)) + 0.11865079365079365 * (Z(5) @ Z(0)) + 0.18293650793650792 * (Z(5) @ Z(3)) + 0.251984126984127 * (Z(6) @ Z(1)) + 0.061507936507936505 * (Z(6) @ Z(0)) + 0.20476190476190476 * (Z(6) @ Z(3)) + 0.38095238095238093 * (Z(6) @ Z(5)) + 0.14246031746031745 * (Z(9) @ Z(1)) + 0.16865079365079363 * (Z(9) @ Z(0)) + 0.22619047619047616 * (Z(9) @ Z(3)) + 0.2095238095238095 * (Z(9) @ Z(5)) + 0.20198412698412696 * (Z(9) @ Z(6)) + 0.051587301587301584 * (Z(11) @ Z(1)) + 0.051587301587301584 * (Z(11) @ Z(0)) + 0.1115079365079365 * (Z(11) @ Z(3)) + 0.19484126984126984 * (Z(11) @ Z(5)) + 0.17103174603174603 * (Z(11) @ Z(6)) + 0.14484126984126983 * (Z(11) @ Z(9)) + 0.16825396825396824 * (Z(4) @ Z(1)) + 0.08492063492063492 * (Z(4) @ Z(0)) + 0.16865079365079363 * (Z(4) @ Z(3)) + 0.17579365079365078 * (Z(4) @ Z(5)) + 0.09722222222222221 * (Z(4) @ Z(6)) + 0.19246031746031744 * (Z(4) @ Z(9)) + 0.051587301587301584 * (Z(4) @ Z(11)) + 0.15873015873015872 * (Z(8) @ Z(1)) + 0.08492063492063492 * (Z(8) @ Z(0)) + 0.08531746031746032 * (Z(8) @ Z(3)) + 0.23531746031746031 * (Z(8) @ Z(5)) + 0.15436507936507934 * (Z(8) @ Z(6)) + 0.19246031746031744 * (Z(8) @ Z(9)) + 0.027777777777777776 * (Z(8) @ Z(11)) + 0.18253968253968253 * (Z(8) @ Z(4)) + 0.09484126984126984 * (Z(10) @ Z(1)) + 0.061507936507936505 * (Z(10) @ Z(0)) + 0.15912698412698412 * (Z(10) @ Z(3)) + 0.201984126984127 * (Z(10) @ Z(5)) + 0.21428571428571427 * (Z(10) @ Z(6)) + 0.2952380952380953 * (Z(10) @ Z(9)) + 0.171031746031746 * (Z(10) @ Z(11)) + 0.14484126984126985 * (Z(10) @ Z(4)) + 0.14484126984126983 * (Z(10) @ Z(8)) + 0.037698412698412696 * (Z(2) @ Z(1)) + 0.04722222222222222 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(2) @ Z(3)) + 0.3547619047619047 * (Z(2) @ Z(5)) + 0.18055555555555555 * (Z(2) @ Z(6)) + 0.08531746031746032 * (Z(2) @ Z(9)) + 0.12103174603174602 * (Z(2) @ Z(11)) + 0.11865079365079365 * (Z(2) @ Z(4)) + 0.09484126984126984 * (Z(2) @ Z(8)) + 0.023809523809523808 * (Z(2) @ Z(10)) + 0.10873015873015873 * (Z(7) @ Z(1)) + 0.14444444444444443 * (Z(7) @ Z(0)) + 0.14484126984126983 * (Z(7) @ Z(3)) + 0.24484126984126983 * (Z(7) @ Z(5)) + 0.07103174603174603 * (Z(7) @ Z(6)) + 0.2853174603174603 * (Z(7) @ Z(9)) + 0.1111111111111111 * (Z(7) @ Z(11)) + 0.19206349206349205 * (Z(7) @ Z(4)) + 0.21587301587301586 * (Z(7) @ Z(8)) + 0.15436507936507937 * (Z(7) @ Z(10)) + 0.17817460317460315 * (Z(7) @ Z(2)) + 0.7301587301587307 * Z(1) + 0.5337301587301587 * Z(0) + 0.8341269841269838 * Z(3) + 1.250793650793651 * Z(5) + 0.9948412698412697 * Z(6) + 1.0722222222222224 * Z(9) + 0.6039682539682539 * Z(11) + 0.7884920634920634 * Z(4) + 0.7884920634920635 * Z(8) + 0.8329365079365079 * Z(10) + 0.64484126984127 * Z(2) + 0.9253968253968253 * Z(7)
15
12
1
{"smallest_eigenvalues": [-4.121428571428572], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.978571428571428, "smallest_bitstrings": ["111000000010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; ry(1.5738) q[0]; ry(0.0218) q[1]; ry(-1.5876) q[2]; ry(-0.03) q[3]; ry(0.1676) q[4]; ry(0.4521) q[5]; ry(0.2805) q[6]; ry(0.6703) q[7]; ry(0.6828) q[8]; ry(0.6792) q[9]; ry(0.9841) q[10]; ry(1.2421) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(1.4205) q[0]; ry(1.4121) q[1]; ry(1.5477) q[2]; ry(1.5986) q[3]; ry(0.1208) q[4]; ry(0.245) q[5]; ry(0.7566) q[6]; ry(0.2685) q[7]; ry(0.5844) q[8]; ry(0.9018) q[9]; ry(-0.9026) q[10]; ry(1.7629) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x12) q[0]; ry(x13) q[1]; ry(x14) q[2]; ry(x15) q[3]; ry(x16) q[4]; ry(x17) q[5]; ry(x18) q[6]; ry(x19) q[7]; ry(x20) q[8]; ry(x21) q[9]; ry(x22) q[10]; ry(x23) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
null
{"circuits": [], "gradients": []}
6240facbcac03ac60847995c8221b912
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 8}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 2, "target": 8}, {"capacity": 2, "source": 3, "target": 7}, {"capacity": 3, "source": 4, "target": 5}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 1, "source": 4, "target": 8}, {"capacity": 2, "source": 5, "target": 2}, {"capacity": 3, "source": 6, "target": 1}, {"capacity": 3, "source": 6, "target": 5}, {"capacity": 2, "source": 7, "target": 2}]}
{"states": [510, 255], "expectation_value": -0.7998581513762016, "params": [[0.055600000000000004, 0.056400000000000006, -0.0534], [-0.055, -0.0616, -0.0022]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003205375084983591, 0.003403173319912987], "optimization_time": 6.0089380741119385}
-0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -2.5 * Z(5) + 0.5 * Z(1) + 0.25 * Z(3) + -0.25 * Z(8) + 0.5 * Z(4) + 0.0 * Z(7) + 1.25 * Z(6)
1
9
3
{"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[2], q[0]; rz(-0.0556) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(-0.1112) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(-0.0278) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(-0.0834) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(-0.0278) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(-0.0834) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(0.1112) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(-0.0278) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(-0.0834) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(-0.0834) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(-0.0278) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(-0.0556) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(-0.0556) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(-0.0834) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(-0.0834) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(-0.0278) q[6]; cx q[4], q[6]; rz(0.0556) q[2]; rz(-0.0278) q[0]; rz(-0.278) q[5]; rz(0.0556) q[1]; rz(0.0278) q[3]; rz(-0.0278) q[8]; rz(0.0556) q[4]; rz(0) q[7]; rz(0.139) q[6]; h q[0]; rz(-0.11) q[0]; h q[0]; h q[1]; rz(-0.11) q[1]; h q[1]; h q[2]; rz(-0.11) q[2]; h q[2]; h q[3]; rz(-0.11) q[3]; h q[3]; h q[4]; rz(-0.11) q[4]; h q[4]; h q[5]; rz(-0.11) q[5]; h q[5]; h q[6]; rz(-0.11) q[6]; h q[6]; h q[7]; rz(-0.11) q[7]; h q[7]; h q[8]; rz(-0.11) q[8]; h q[8]; cx q[2], q[0]; rz(-0.0564) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(-0.1128) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(-0.0282) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(-0.0846) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(-0.0282) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(-0.0846) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(0.1128) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(-0.0282) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(-0.0846) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(-0.0846) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(-0.0282) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(-0.0564) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(-0.0564) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(-0.0846) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(-0.0846) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(-0.0282) q[6]; cx q[4], q[6]; rz(0.0564) q[2]; rz(-0.0282) q[0]; rz(-0.282) q[5]; rz(0.0564) q[1]; rz(0.0282) q[3]; rz(-0.0282) q[8]; rz(0.0564) q[4]; rz(0) q[7]; rz(0.141) q[6]; h q[0]; rz(-0.1232) q[0]; h q[0]; h q[1]; rz(-0.1232) q[1]; h q[1]; h q[2]; rz(-0.1232) q[2]; h q[2]; h q[3]; rz(-0.1232) q[3]; h q[3]; h q[4]; rz(-0.1232) q[4]; h q[4]; h q[5]; rz(-0.1232) q[5]; h q[5]; h q[6]; rz(-0.1232) q[6]; h q[6]; h q[7]; rz(-0.1232) q[7]; h q[7]; h q[8]; rz(-0.1232) q[8]; h q[8]; cx q[2], q[0]; rz(0.0534) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(0.1068) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(0.0267) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(0.0801) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(0.0267) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(0.0801) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(-0.1068) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(0.0267) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(0.0801) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(0.0801) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(0.0267) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(0.0534) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.0534) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(0.0801) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(0.0801) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(0.0267) q[6]; cx q[4], q[6]; rz(-0.0534) q[2]; rz(0.0267) q[0]; rz(0.267) q[5]; rz(-0.0534) q[1]; rz(-0.0267) q[3]; rz(0.0267) q[8]; rz(-0.0534) q[4]; rz(0) q[7]; rz(-0.1335) q[6]; h q[0]; rz(-0.0044) q[0]; h q[0]; h q[1]; rz(-0.0044) q[1]; h q[1]; h q[2]; rz(-0.0044) q[2]; h q[2]; h q[3]; rz(-0.0044) q[3]; h q[3]; h q[4]; rz(-0.0044) q[4]; h q[4]; h q[5]; rz(-0.0044) q[5]; h q[5]; h q[6]; rz(-0.0044) q[6]; h q[6]; h q[7]; rz(-0.0044) q[7]; h q[7]; h q[8]; rz(-0.0044) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(x2) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(x3) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x2) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(x3) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(x4) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(x2) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(x3) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x3) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(x2) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(x3) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(x3) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(x2) q[6]; cx q[4], q[6]; rz(x5) q[2]; rz(x2) q[0]; rz(x6) q[5]; rz(x5) q[1]; rz(x7) q[3]; rz(x2) q[8]; rz(x5) q[4]; rz(x8) q[7]; rz(x9) q[6]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; h q[7]; rz(x10) q[7]; h q[7]; h q[8]; rz(x10) q[8]; h q[8]; cx q[2], q[0]; rz(x11) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(x12) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(x13) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(x14) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x13) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(x14) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(x15) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(x13) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(x14) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x14) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(x13) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(x11) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x11) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(x14) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(x14) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(x13) q[6]; cx q[4], q[6]; rz(x16) q[2]; rz(x13) q[0]; rz(x17) q[5]; rz(x16) q[1]; rz(x18) q[3]; rz(x13) q[8]; rz(x16) q[4]; rz(x8) q[7]; rz(x19) q[6]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; h q[8]; rz(x20) q[8]; h q[8]; cx q[2], q[0]; rz(x21) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(x22) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(x23) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(x24) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x23) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(x24) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(x25) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(x23) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(x24) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x24) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(x23) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(x21) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x21) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(x24) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(x24) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(x23) q[6]; cx q[4], q[6]; rz(x26) q[2]; rz(x23) q[0]; rz(x27) q[5]; rz(x26) q[1]; rz(x28) q[3]; rz(x23) q[8]; rz(x26) q[4]; rz(x8) q[7]; rz(x29) q[6]; h q[0]; rz(x30) q[0]; h q[0]; h q[1]; rz(x30) q[1]; h q[1]; h q[2]; rz(x30) q[2]; h q[2]; h q[3]; rz(x30) q[3]; h q[3]; h q[4]; rz(x30) q[4]; h q[4]; h q[5]; rz(x30) q[5]; h q[5]; h q[6]; rz(x30) q[6]; h q[6]; h q[7]; rz(x30) q[7]; h q[7]; h q[8]; rz(x30) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"source": 0, "sink": 8}
{"circuits": [], "gradients": []}
11576eab70c2ec583415b5e8bd58f9e2
community_detection
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "source": 3, "target": 5}]}
{"states": [2693, 2709], "expectation_value": -0.5852169781141637, "params": [0.2948, 0.017400000000000002, 0.2892, 0.01, 0.1017, -0.0164, 0.10010000000000001, -0.0375, 0.2886, 0.022600000000000002, 0.2903, 0.013900000000000001, 0.0981, -0.0334, 0.10020000000000001, -0.048600000000000004, 0.2403, 0.004200000000000001, 0.24080000000000001, -0.0063, 0.1516, -0.04, 0.15080000000000002, -0.0506, 0.2238, 0.09680000000000001, 0.2258, 0.09770000000000001, 0.23270000000000002, 0.055200000000000006, 0.2331, 0.056, 0.1003, -0.054200000000000005, 0.1032, -0.0631, 0.2878, 0.0228, 0.2906, 0.019, 0.09630000000000001, 0.10310000000000001, 0.10300000000000001, 0.0966, 0.2882, -0.0407, 0.2894, -0.0442, 0.2923, 0.017400000000000002, 0.2903, 0.013800000000000002, 0.1022, -0.0391, 0.1023, -0.051800000000000006, 0.29400000000000004, 0.022500000000000003, 0.2957, 0.0154, 0.0974, -0.0443, 0.1015, -0.056900000000000006, 0.2417, -0.0061, 0.24070000000000003, -0.014700000000000001, 0.1504, -0.049100000000000005, 0.15, -0.0546, 0.2165, 0.0995, 0.2152, 0.09870000000000001, 0.2301, 0.0741, 0.23070000000000002, 0.0763, 0.10540000000000001, -0.056100000000000004, 0.09670000000000001, -0.0644, 0.29350000000000004, 0.023700000000000002, 0.2867, 0.0193, 0.0983, 0.10590000000000001, 0.0966, 0.095, 0.29250000000000004, -0.0366, 0.2873, -0.034300000000000004, 0.2949, 0.015000000000000001, 0.2907, 0.015300000000000001, 0.1014, -0.049100000000000005, 0.09730000000000001, -0.0661, 0.2923, 0.0198, 0.2898, 0.0148, 0.0983, -0.058100000000000006, 0.101, -0.06810000000000001, 0.2353, -0.0236, 0.2411, -0.029400000000000003, 0.1583, -0.0548, 0.1505, -0.0649, 0.22060000000000002, 0.09920000000000001, 0.2136, 0.0951, 0.233, 0.08900000000000001, 0.23170000000000002, 0.0811, 0.1028, -0.0646, 0.10500000000000001, -0.0707, 0.29350000000000004, 0.017, 0.29400000000000004, 0.0201, 0.10450000000000001, 0.10250000000000001, 0.1, 0.0954, 0.29400000000000004, -0.028200000000000003, 0.2927, -0.0352, 0.2913, 0.0211, 0.2861, 0.0002, 0.0978, -0.0656, 0.0983, 0.0037, 0.28800000000000003, 0.0261, 0.2964, 0.009000000000000001, 0.1003, -0.06860000000000001, 0.101, 0.003, 0.23520000000000002, -0.0345, 0.23900000000000002, 0.0016, 0.1509, -0.0664, 0.1652, 0.0067, 0.2131, 0.0981, 0.23170000000000002, 0.0046, 0.2328, 0.0868, 0.23770000000000002, 0.0013000000000000002, 0.0981, -0.0755, 0.09670000000000001, 0.0085, 0.2886, 0.0236, 0.2906, 0.007500000000000001, 0.10250000000000001, 0.0954, 0.098, 0.006900000000000001, 0.29610000000000003, -0.028200000000000003, 0.2899, 0.008, 0.023100000000000002, -0.0166, 0.019700000000000002, -0.0206, 0.0017000000000000001, -0.0222, 0.0543, 0.0497, -0.038900000000000004, 0.0158, 0.0675, 0.019, 0.027200000000000002, -0.039, 0.0239, -0.0482, -0.0154, -0.0313, 0.0653, 0.0713, -0.076, -0.0132, 0.0811, 0.0414, -0.0201, -0.0733, -0.031, -0.08700000000000001, -0.0658, -0.0745, 0.0819, 0.0786, -0.0897, -0.0279, 0.10830000000000001, 0.0529, -0.0408, -0.096, -0.0287, -0.0876, -0.0869, -0.09190000000000001, 0.10540000000000001, 0.1066, -0.0966, -0.035, 0.108, 0.0351], "bitstrings": ["010101111010", "010101101010"], "total_optimization_steps": 30, "probabilities": [0.03673185573776679, 0.043934540703846184], "optimization_time": 312.04182529449463}
0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653061224489796 * (Z(6) @ Z(0)) + 0.0007653061224489796 * (Z(6) @ Z(2)) + 0.000510204081632653 * (Z(6) @ Z(4)) + 0.0007653061224489796 * (Z(7) @ Z(1)) + 0.0007653061224489796 * (Z(7) @ Z(3)) + 0.000510204081632653 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0003826530612244898 * (Z(8) @ Z(0)) + 0.0003826530612244898 * (Z(8) @ Z(2)) + 0.0002551020408163265 * (Z(8) @ Z(4)) + -0.0015306122448979593 * (Z(8) @ Z(6)) + 0.0003826530612244898 * (Z(9) @ Z(1)) + 0.0003826530612244898 * (Z(9) @ Z(3)) + 0.0002551020408163265 * (Z(9) @ Z(5)) + -0.0015306122448979593 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.0006377551020408162 * (Z(10) @ Z(0)) + -0.0006377551020408162 * (Z(10) @ Z(2)) + 0.0007653061224489796 * (Z(10) @ Z(4)) + -0.001020408163265306 * (Z(10) @ Z(6)) + 0.0003826530612244898 * (Z(10) @ Z(8)) + -0.0006377551020408162 * (Z(11) @ Z(1)) + -0.0006377551020408162 * (Z(11) @ Z(3)) + 0.0007653061224489796 * (Z(11) @ Z(5)) + -0.001020408163265306 * (Z(11) @ Z(7)) + 0.0003826530612244898 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.0011479591836734693 * Z(1) + -0.0011479591836734693 * Z(0) + -0.0011479591836734693 * Z(2) + -0.0011479591836734693 * Z(3) + -0.0005102040816326314 * Z(4) + -0.0005102040816326314 * Z(5) + -0.0005102040816326592 * Z(6) + -0.0005102040816326592 * Z(7) + -0.00012755102040817867 * Z(8) + -0.00012755102040817867 * Z(9) + -0.0011479591836734693 * Z(10) + -0.0011479591836734693 * Z(11)
5
12
4
{"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["101010010101", "010101101010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; rx(0.2948) q[0]; rz(0.0174) q[0]; rx(0.1017) q[1]; rz(-0.0164) q[1]; rx(0.2886) q[2]; rz(0.0226) q[2]; rx(0.0981) q[3]; rz(-0.0334) q[3]; rx(0.2403) q[4]; rz(0.0042) q[4]; rx(0.1516) q[5]; rz(-0.04) q[5]; rx(0.2238) q[6]; rz(0.0968) q[6]; rx(0.2327) q[7]; rz(0.0552) q[7]; rx(0.1003) q[8]; rz(-0.0542) q[8]; rx(0.2878) q[9]; rz(0.0228) q[9]; rx(0.0963) q[10]; rz(0.1031) q[10]; rx(0.2882) q[11]; rz(-0.0407) q[11]; crz(0.0675) q[11], q[10]; crz(0.0158) q[11], q[9]; crz(-0.0389) q[11], q[8]; crz(0.0497) q[11], q[7]; crz(0.0543) q[11], q[6]; crz(-0.0222) q[11], q[5]; crz(0.0017) q[11], q[4]; crz(-0.0206) q[11], q[3]; crz(0.0197) q[11], q[2]; crz(-0.0166) q[11], q[1]; crz(0.0231) q[11], q[0]; crz(0.019) q[10], q[11]; crz(0.0158) q[10], q[9]; crz(-0.0389) q[10], q[8]; crz(0.0497) q[10], q[7]; crz(0.0543) q[10], q[6]; crz(-0.0222) q[10], q[5]; crz(0.0017) q[10], q[4]; crz(-0.0206) q[10], q[3]; crz(0.0197) q[10], q[2]; crz(-0.0166) q[10], q[1]; crz(0.0231) q[10], q[0]; crz(0.019) q[9], q[11]; crz(0.0675) q[9], q[10]; crz(-0.0389) q[9], q[8]; crz(0.0497) q[9], q[7]; crz(0.0543) q[9], q[6]; crz(-0.0222) q[9], q[5]; crz(0.0017) q[9], q[4]; crz(-0.0206) q[9], q[3]; crz(0.0197) q[9], q[2]; crz(-0.0166) q[9], q[1]; crz(0.0231) q[9], q[0]; crz(0.019) q[8], q[11]; crz(0.0675) q[8], q[10]; crz(0.0158) q[8], q[9]; crz(0.0497) q[8], q[7]; crz(0.0543) q[8], q[6]; crz(-0.0222) q[8], q[5]; crz(0.0017) q[8], q[4]; crz(-0.0206) q[8], q[3]; crz(0.0197) q[8], q[2]; crz(-0.0166) q[8], q[1]; crz(0.0231) q[8], q[0]; crz(0.019) q[7], q[11]; crz(0.0675) q[7], q[10]; crz(0.0158) q[7], q[9]; crz(-0.0389) q[7], q[8]; crz(0.0543) q[7], q[6]; crz(-0.0222) q[7], q[5]; crz(0.0017) q[7], q[4]; crz(-0.0206) q[7], q[3]; crz(0.0197) q[7], q[2]; crz(-0.0166) q[7], q[1]; crz(0.0231) q[7], q[0]; crz(0.019) q[6], q[11]; crz(0.0675) q[6], q[10]; crz(0.0158) q[6], q[9]; crz(-0.0389) q[6], q[8]; crz(0.0497) q[6], q[7]; crz(-0.0222) q[6], q[5]; crz(0.0017) q[6], q[4]; crz(-0.0206) q[6], q[3]; crz(0.0197) q[6], q[2]; crz(-0.0166) q[6], q[1]; crz(0.0231) q[6], q[0]; crz(0.019) q[5], q[11]; crz(0.0675) q[5], q[10]; crz(0.0158) q[5], q[9]; crz(-0.0389) q[5], q[8]; crz(0.0497) q[5], q[7]; crz(0.0543) q[5], q[6]; crz(0.0017) q[5], q[4]; crz(-0.0206) q[5], q[3]; crz(0.0197) q[5], q[2]; crz(-0.0166) q[5], q[1]; crz(0.0231) q[5], q[0]; crz(0.019) q[4], q[11]; crz(0.0675) q[4], q[10]; crz(0.0158) q[4], q[9]; crz(-0.0389) q[4], q[8]; crz(0.0497) q[4], q[7]; crz(0.0543) q[4], q[6]; crz(-0.0222) q[4], q[5]; crz(-0.0206) q[4], q[3]; crz(0.0197) q[4], q[2]; crz(-0.0166) q[4], q[1]; crz(0.0231) q[4], q[0]; crz(0.019) q[3], q[11]; crz(0.0675) q[3], q[10]; crz(0.0158) q[3], q[9]; crz(-0.0389) q[3], q[8]; crz(0.0497) q[3], q[7]; crz(0.0543) q[3], q[6]; crz(-0.0222) q[3], q[5]; crz(0.0017) q[3], q[4]; crz(0.0197) q[3], q[2]; crz(-0.0166) q[3], q[1]; crz(0.0231) q[3], q[0]; crz(0.019) q[2], q[11]; crz(0.0675) q[2], q[10]; crz(0.0158) q[2], q[9]; crz(-0.0389) q[2], q[8]; crz(0.0497) q[2], q[7]; crz(0.0543) q[2], q[6]; crz(-0.0222) q[2], q[5]; crz(0.0017) q[2], q[4]; crz(-0.0206) q[2], q[3]; crz(-0.0166) q[2], q[1]; crz(0.0231) q[2], q[0]; crz(0.019) q[1], q[11]; crz(0.0675) q[1], q[10]; crz(0.0158) q[1], q[9]; crz(-0.0389) q[1], q[8]; crz(0.0497) q[1], q[7]; crz(0.0543) q[1], q[6]; crz(-0.0222) q[1], q[5]; crz(0.0017) q[1], q[4]; crz(-0.0206) q[1], q[3]; crz(0.0197) q[1], q[2]; crz(0.0231) q[1], q[0]; crz(0.019) q[0], q[11]; crz(0.0675) q[0], q[10]; crz(0.0158) q[0], q[9]; crz(-0.0389) q[0], q[8]; crz(0.0497) q[0], q[7]; crz(0.0543) q[0], q[6]; crz(-0.0222) q[0], q[5]; crz(0.0017) q[0], q[4]; crz(-0.0206) q[0], q[3]; crz(0.0197) q[0], q[2]; crz(-0.0166) q[0], q[1]; rx(0.2892) q[0]; rz(0.01) q[0]; rx(0.1001) q[1]; rz(-0.0375) q[1]; rx(0.2903) q[2]; rz(0.0139) q[2]; rx(0.1002) q[3]; rz(-0.0486) q[3]; rx(0.2408) q[4]; rz(-0.0063) q[4]; rx(0.1508) q[5]; rz(-0.0506) q[5]; rx(0.2258) q[6]; rz(0.0977) q[6]; rx(0.2331) q[7]; rz(0.056) q[7]; rx(0.1032) q[8]; rz(-0.0631) q[8]; rx(0.2906) q[9]; rz(0.019) q[9]; rx(0.103) q[10]; rz(0.0966) q[10]; rx(0.2894) q[11]; rz(-0.0442) q[11]; rx(0.2923) q[0]; rz(0.0174) q[0]; rx(0.1022) q[1]; rz(-0.0391) q[1]; rx(0.294) q[2]; rz(0.0225) q[2]; rx(0.0974) q[3]; rz(-0.0443) q[3]; rx(0.2417) q[4]; rz(-0.0061) q[4]; rx(0.1504) q[5]; rz(-0.0491) q[5]; rx(0.2165) q[6]; rz(0.0995) q[6]; rx(0.2301) q[7]; rz(0.0741) q[7]; rx(0.1054) q[8]; rz(-0.0561) q[8]; rx(0.2935) q[9]; rz(0.0237) q[9]; rx(0.0983) q[10]; rz(0.1059) q[10]; rx(0.2925) q[11]; rz(-0.0366) q[11]; crz(0.0811) q[11], q[10]; crz(-0.0132) q[11], q[9]; crz(-0.076) q[11], q[8]; crz(0.0713) q[11], q[7]; crz(0.0653) q[11], q[6]; crz(-0.0313) q[11], q[5]; crz(-0.0154) q[11], q[4]; crz(-0.0482) q[11], q[3]; crz(0.0239) q[11], q[2]; crz(-0.039) q[11], q[1]; crz(0.0272) q[11], q[0]; crz(0.0414) q[10], q[11]; crz(-0.0132) q[10], q[9]; crz(-0.076) q[10], q[8]; crz(0.0713) q[10], q[7]; crz(0.0653) q[10], q[6]; crz(-0.0313) q[10], q[5]; crz(-0.0154) q[10], q[4]; crz(-0.0482) q[10], q[3]; crz(0.0239) q[10], q[2]; crz(-0.039) q[10], q[1]; crz(0.0272) q[10], q[0]; crz(0.0414) q[9], q[11]; crz(0.0811) q[9], q[10]; crz(-0.076) q[9], q[8]; crz(0.0713) q[9], q[7]; crz(0.0653) q[9], q[6]; crz(-0.0313) q[9], q[5]; crz(-0.0154) q[9], q[4]; crz(-0.0482) q[9], q[3]; crz(0.0239) q[9], q[2]; crz(-0.039) q[9], q[1]; crz(0.0272) q[9], q[0]; crz(0.0414) q[8], q[11]; crz(0.0811) q[8], q[10]; crz(-0.0132) q[8], q[9]; crz(0.0713) q[8], q[7]; crz(0.0653) q[8], q[6]; crz(-0.0313) q[8], q[5]; crz(-0.0154) q[8], q[4]; crz(-0.0482) q[8], q[3]; crz(0.0239) q[8], q[2]; crz(-0.039) q[8], q[1]; crz(0.0272) q[8], q[0]; crz(0.0414) q[7], q[11]; crz(0.0811) q[7], q[10]; crz(-0.0132) q[7], q[9]; crz(-0.076) q[7], q[8]; crz(0.0653) q[7], q[6]; crz(-0.0313) q[7], q[5]; crz(-0.0154) q[7], q[4]; crz(-0.0482) q[7], q[3]; crz(0.0239) q[7], q[2]; crz(-0.039) q[7], q[1]; crz(0.0272) q[7], q[0]; crz(0.0414) q[6], q[11]; crz(0.0811) q[6], q[10]; crz(-0.0132) q[6], q[9]; crz(-0.076) q[6], q[8]; crz(0.0713) q[6], q[7]; crz(-0.0313) q[6], q[5]; crz(-0.0154) q[6], q[4]; crz(-0.0482) q[6], q[3]; crz(0.0239) q[6], q[2]; crz(-0.039) q[6], q[1]; crz(0.0272) q[6], q[0]; crz(0.0414) q[5], q[11]; crz(0.0811) q[5], q[10]; crz(-0.0132) q[5], q[9]; crz(-0.076) q[5], q[8]; crz(0.0713) q[5], q[7]; crz(0.0653) q[5], q[6]; crz(-0.0154) q[5], q[4]; crz(-0.0482) q[5], q[3]; crz(0.0239) q[5], q[2]; crz(-0.039) q[5], q[1]; crz(0.0272) q[5], q[0]; crz(0.0414) q[4], q[11]; crz(0.0811) q[4], q[10]; crz(-0.0132) q[4], q[9]; crz(-0.076) q[4], q[8]; crz(0.0713) q[4], q[7]; crz(0.0653) q[4], q[6]; crz(-0.0313) q[4], q[5]; crz(-0.0482) q[4], q[3]; crz(0.0239) q[4], q[2]; crz(-0.039) q[4], q[1]; crz(0.0272) q[4], q[0]; crz(0.0414) q[3], q[11]; crz(0.0811) q[3], q[10]; crz(-0.0132) q[3], q[9]; crz(-0.076) q[3], q[8]; crz(0.0713) q[3], q[7]; crz(0.0653) q[3], q[6]; crz(-0.0313) q[3], q[5]; crz(-0.0154) q[3], q[4]; crz(0.0239) q[3], q[2]; crz(-0.039) q[3], q[1]; crz(0.0272) q[3], q[0]; crz(0.0414) q[2], q[11]; crz(0.0811) q[2], q[10]; crz(-0.0132) q[2], q[9]; crz(-0.076) q[2], q[8]; crz(0.0713) q[2], q[7]; crz(0.0653) q[2], q[6]; crz(-0.0313) q[2], q[5]; crz(-0.0154) q[2], q[4]; crz(-0.0482) q[2], q[3]; crz(-0.039) q[2], q[1]; crz(0.0272) q[2], q[0]; crz(0.0414) q[1], q[11]; crz(0.0811) q[1], q[10]; crz(-0.0132) q[1], q[9]; crz(-0.076) q[1], q[8]; crz(0.0713) q[1], q[7]; crz(0.0653) q[1], q[6]; crz(-0.0313) q[1], q[5]; crz(-0.0154) q[1], q[4]; crz(-0.0482) q[1], q[3]; crz(0.0239) q[1], q[2]; crz(0.0272) q[1], q[0]; crz(0.0414) q[0], q[11]; crz(0.0811) q[0], q[10]; crz(-0.0132) q[0], q[9]; crz(-0.076) q[0], q[8]; crz(0.0713) q[0], q[7]; crz(0.0653) q[0], q[6]; crz(-0.0313) q[0], q[5]; crz(-0.0154) q[0], q[4]; crz(-0.0482) q[0], q[3]; crz(0.0239) q[0], q[2]; crz(-0.039) q[0], q[1]; rx(0.2903) q[0]; rz(0.0138) q[0]; rx(0.1023) q[1]; rz(-0.0518) q[1]; rx(0.2957) q[2]; rz(0.0154) q[2]; rx(0.1015) q[3]; rz(-0.0569) q[3]; rx(0.2407) q[4]; rz(-0.0147) q[4]; rx(0.15) q[5]; rz(-0.0546) q[5]; rx(0.2152) q[6]; rz(0.0987) q[6]; rx(0.2307) q[7]; rz(0.0763) q[7]; rx(0.0967) q[8]; rz(-0.0644) q[8]; rx(0.2867) q[9]; rz(0.0193) q[9]; rx(0.0966) q[10]; rz(0.095) q[10]; rx(0.2873) q[11]; rz(-0.0343) q[11]; rx(0.2949) q[0]; rz(0.015) q[0]; rx(0.1014) q[1]; rz(-0.0491) q[1]; rx(0.2923) q[2]; rz(0.0198) q[2]; rx(0.0983) q[3]; rz(-0.0581) q[3]; rx(0.2353) q[4]; rz(-0.0236) q[4]; rx(0.1583) q[5]; rz(-0.0548) q[5]; rx(0.2206) q[6]; rz(0.0992) q[6]; rx(0.233) q[7]; rz(0.089) q[7]; rx(0.1028) q[8]; rz(-0.0646) q[8]; rx(0.2935) q[9]; rz(0.017) q[9]; rx(0.1045) q[10]; rz(0.1025) q[10]; rx(0.294) q[11]; rz(-0.0282) q[11]; crz(0.1083) q[11], q[10]; crz(-0.0279) q[11], q[9]; crz(-0.0897) q[11], q[8]; crz(0.0786) q[11], q[7]; crz(0.0819) q[11], q[6]; crz(-0.0745) q[11], q[5]; crz(-0.0658) q[11], q[4]; crz(-0.087) q[11], q[3]; crz(-0.031) q[11], q[2]; crz(-0.0733) q[11], q[1]; crz(-0.0201) q[11], q[0]; crz(0.0529) q[10], q[11]; crz(-0.0279) q[10], q[9]; crz(-0.0897) q[10], q[8]; crz(0.0786) q[10], q[7]; crz(0.0819) q[10], q[6]; crz(-0.0745) q[10], q[5]; crz(-0.0658) q[10], q[4]; crz(-0.087) q[10], q[3]; crz(-0.031) q[10], q[2]; crz(-0.0733) q[10], q[1]; crz(-0.0201) q[10], q[0]; crz(0.0529) q[9], q[11]; crz(0.1083) q[9], q[10]; crz(-0.0897) q[9], q[8]; crz(0.0786) q[9], q[7]; crz(0.0819) q[9], q[6]; crz(-0.0745) q[9], q[5]; crz(-0.0658) q[9], q[4]; crz(-0.087) q[9], q[3]; crz(-0.031) q[9], q[2]; crz(-0.0733) q[9], q[1]; crz(-0.0201) q[9], q[0]; crz(0.0529) q[8], q[11]; crz(0.1083) q[8], q[10]; crz(-0.0279) q[8], q[9]; crz(0.0786) q[8], q[7]; crz(0.0819) q[8], q[6]; crz(-0.0745) q[8], q[5]; crz(-0.0658) q[8], q[4]; crz(-0.087) q[8], q[3]; crz(-0.031) q[8], q[2]; crz(-0.0733) q[8], q[1]; crz(-0.0201) q[8], q[0]; crz(0.0529) q[7], q[11]; crz(0.1083) q[7], q[10]; crz(-0.0279) q[7], q[9]; crz(-0.0897) q[7], q[8]; crz(0.0819) q[7], q[6]; crz(-0.0745) q[7], q[5]; crz(-0.0658) q[7], q[4]; crz(-0.087) q[7], q[3]; crz(-0.031) q[7], q[2]; crz(-0.0733) q[7], q[1]; crz(-0.0201) q[7], q[0]; crz(0.0529) q[6], q[11]; crz(0.1083) q[6], q[10]; crz(-0.0279) q[6], q[9]; crz(-0.0897) q[6], q[8]; crz(0.0786) q[6], q[7]; crz(-0.0745) q[6], q[5]; crz(-0.0658) q[6], q[4]; crz(-0.087) q[6], q[3]; crz(-0.031) q[6], q[2]; crz(-0.0733) q[6], q[1]; crz(-0.0201) q[6], q[0]; crz(0.0529) q[5], q[11]; crz(0.1083) q[5], q[10]; crz(-0.0279) q[5], q[9]; crz(-0.0897) q[5], q[8]; crz(0.0786) q[5], q[7]; crz(0.0819) q[5], q[6]; crz(-0.0658) q[5], q[4]; crz(-0.087) q[5], q[3]; crz(-0.031) q[5], q[2]; crz(-0.0733) q[5], q[1]; crz(-0.0201) q[5], q[0]; crz(0.0529) q[4], q[11]; crz(0.1083) q[4], q[10]; crz(-0.0279) q[4], q[9]; crz(-0.0897) q[4], q[8]; crz(0.0786) q[4], q[7]; crz(0.0819) q[4], q[6]; crz(-0.0745) q[4], q[5]; crz(-0.087) q[4], q[3]; crz(-0.031) q[4], q[2]; crz(-0.0733) q[4], q[1]; crz(-0.0201) q[4], q[0]; crz(0.0529) q[3], q[11]; crz(0.1083) q[3], q[10]; crz(-0.0279) q[3], q[9]; crz(-0.0897) q[3], q[8]; crz(0.0786) q[3], q[7]; crz(0.0819) q[3], q[6]; crz(-0.0745) q[3], q[5]; crz(-0.0658) q[3], q[4]; crz(-0.031) q[3], q[2]; crz(-0.0733) q[3], q[1]; crz(-0.0201) q[3], q[0]; crz(0.0529) q[2], q[11]; crz(0.1083) q[2], q[10]; crz(-0.0279) q[2], q[9]; crz(-0.0897) q[2], q[8]; crz(0.0786) q[2], q[7]; crz(0.0819) q[2], q[6]; crz(-0.0745) q[2], q[5]; crz(-0.0658) q[2], q[4]; crz(-0.087) q[2], q[3]; crz(-0.0733) q[2], q[1]; crz(-0.0201) q[2], q[0]; crz(0.0529) q[1], q[11]; crz(0.1083) q[1], q[10]; crz(-0.0279) q[1], q[9]; crz(-0.0897) q[1], q[8]; crz(0.0786) q[1], q[7]; crz(0.0819) q[1], q[6]; crz(-0.0745) q[1], q[5]; crz(-0.0658) q[1], q[4]; crz(-0.087) q[1], q[3]; crz(-0.031) q[1], q[2]; crz(-0.0201) q[1], q[0]; crz(0.0529) q[0], q[11]; crz(0.1083) q[0], q[10]; crz(-0.0279) q[0], q[9]; crz(-0.0897) q[0], q[8]; crz(0.0786) q[0], q[7]; crz(0.0819) q[0], q[6]; crz(-0.0745) q[0], q[5]; crz(-0.0658) q[0], q[4]; crz(-0.087) q[0], q[3]; crz(-0.031) q[0], q[2]; crz(-0.0733) q[0], q[1]; rx(0.2907) q[0]; rz(0.0153) q[0]; rx(0.0973) q[1]; rz(-0.0661) q[1]; rx(0.2898) q[2]; rz(0.0148) q[2]; rx(0.101) q[3]; rz(-0.0681) q[3]; rx(0.2411) q[4]; rz(-0.0294) q[4]; rx(0.1505) q[5]; rz(-0.0649) q[5]; rx(0.2136) q[6]; rz(0.0951) q[6]; rx(0.2317) q[7]; rz(0.0811) q[7]; rx(0.105) q[8]; rz(-0.0707) q[8]; rx(0.294) q[9]; rz(0.0201) q[9]; rx(0.1) q[10]; rz(0.0954) q[10]; rx(0.2927) q[11]; rz(-0.0352) q[11]; rx(0.2913) q[0]; rz(0.0211) q[0]; rx(0.0978) q[1]; rz(-0.0656) q[1]; rx(0.288) q[2]; rz(0.0261) q[2]; rx(0.1003) q[3]; rz(-0.0686) q[3]; rx(0.2352) q[4]; rz(-0.0345) q[4]; rx(0.1509) q[5]; rz(-0.0664) q[5]; rx(0.2131) q[6]; rz(0.0981) q[6]; rx(0.2328) q[7]; rz(0.0868) q[7]; rx(0.0981) q[8]; rz(-0.0755) q[8]; rx(0.2886) q[9]; rz(0.0236) q[9]; rx(0.1025) q[10]; rz(0.0954) q[10]; rx(0.2961) q[11]; rz(-0.0282) q[11]; crz(0.108) q[11], q[10]; crz(-0.035) q[11], q[9]; crz(-0.0966) q[11], q[8]; crz(0.1066) q[11], q[7]; crz(0.1054) q[11], q[6]; crz(-0.0919) q[11], q[5]; crz(-0.0869) q[11], q[4]; crz(-0.0876) q[11], q[3]; crz(-0.0287) q[11], q[2]; crz(-0.096) q[11], q[1]; crz(-0.0408) q[11], q[0]; crz(0.0351) q[10], q[11]; crz(-0.035) q[10], q[9]; crz(-0.0966) q[10], q[8]; crz(0.1066) q[10], q[7]; crz(0.1054) q[10], q[6]; crz(-0.0919) q[10], q[5]; crz(-0.0869) q[10], q[4]; crz(-0.0876) q[10], q[3]; crz(-0.0287) q[10], q[2]; crz(-0.096) q[10], q[1]; crz(-0.0408) q[10], q[0]; crz(0.0351) q[9], q[11]; crz(0.108) q[9], q[10]; crz(-0.0966) q[9], q[8]; crz(0.1066) q[9], q[7]; crz(0.1054) q[9], q[6]; crz(-0.0919) q[9], q[5]; crz(-0.0869) q[9], q[4]; crz(-0.0876) q[9], q[3]; crz(-0.0287) q[9], q[2]; crz(-0.096) q[9], q[1]; crz(-0.0408) q[9], q[0]; crz(0.0351) q[8], q[11]; crz(0.108) q[8], q[10]; crz(-0.035) q[8], q[9]; crz(0.1066) q[8], q[7]; crz(0.1054) q[8], q[6]; crz(-0.0919) q[8], q[5]; crz(-0.0869) q[8], q[4]; crz(-0.0876) q[8], q[3]; crz(-0.0287) q[8], q[2]; crz(-0.096) q[8], q[1]; crz(-0.0408) q[8], q[0]; crz(0.0351) q[7], q[11]; crz(0.108) q[7], q[10]; crz(-0.035) q[7], q[9]; crz(-0.0966) q[7], q[8]; crz(0.1054) q[7], q[6]; crz(-0.0919) q[7], q[5]; crz(-0.0869) q[7], q[4]; crz(-0.0876) q[7], q[3]; crz(-0.0287) q[7], q[2]; crz(-0.096) q[7], q[1]; crz(-0.0408) q[7], q[0]; crz(0.0351) q[6], q[11]; crz(0.108) q[6], q[10]; crz(-0.035) q[6], q[9]; crz(-0.0966) q[6], q[8]; crz(0.1066) q[6], q[7]; crz(-0.0919) q[6], q[5]; crz(-0.0869) q[6], q[4]; crz(-0.0876) q[6], q[3]; crz(-0.0287) q[6], q[2]; crz(-0.096) q[6], q[1]; crz(-0.0408) q[6], q[0]; crz(0.0351) q[5], q[11]; crz(0.108) q[5], q[10]; crz(-0.035) q[5], q[9]; crz(-0.0966) q[5], q[8]; crz(0.1066) q[5], q[7]; crz(0.1054) q[5], q[6]; crz(-0.0869) q[5], q[4]; crz(-0.0876) q[5], q[3]; crz(-0.0287) q[5], q[2]; crz(-0.096) q[5], q[1]; crz(-0.0408) q[5], q[0]; crz(0.0351) q[4], q[11]; crz(0.108) q[4], q[10]; crz(-0.035) q[4], q[9]; crz(-0.0966) q[4], q[8]; crz(0.1066) q[4], q[7]; crz(0.1054) q[4], q[6]; crz(-0.0919) q[4], q[5]; crz(-0.0876) q[4], q[3]; crz(-0.0287) q[4], q[2]; crz(-0.096) q[4], q[1]; crz(-0.0408) q[4], q[0]; crz(0.0351) q[3], q[11]; crz(0.108) q[3], q[10]; crz(-0.035) q[3], q[9]; crz(-0.0966) q[3], q[8]; crz(0.1066) q[3], q[7]; crz(0.1054) q[3], q[6]; crz(-0.0919) q[3], q[5]; crz(-0.0869) q[3], q[4]; crz(-0.0287) q[3], q[2]; crz(-0.096) q[3], q[1]; crz(-0.0408) q[3], q[0]; crz(0.0351) q[2], q[11]; crz(0.108) q[2], q[10]; crz(-0.035) q[2], q[9]; crz(-0.0966) q[2], q[8]; crz(0.1066) q[2], q[7]; crz(0.1054) q[2], q[6]; crz(-0.0919) q[2], q[5]; crz(-0.0869) q[2], q[4]; crz(-0.0876) q[2], q[3]; crz(-0.096) q[2], q[1]; crz(-0.0408) q[2], q[0]; crz(0.0351) q[1], q[11]; crz(0.108) q[1], q[10]; crz(-0.035) q[1], q[9]; crz(-0.0966) q[1], q[8]; crz(0.1066) q[1], q[7]; crz(0.1054) q[1], q[6]; crz(-0.0919) q[1], q[5]; crz(-0.0869) q[1], q[4]; crz(-0.0876) q[1], q[3]; crz(-0.0287) q[1], q[2]; crz(-0.0408) q[1], q[0]; crz(0.0351) q[0], q[11]; crz(0.108) q[0], q[10]; crz(-0.035) q[0], q[9]; crz(-0.0966) q[0], q[8]; crz(0.1066) q[0], q[7]; crz(0.1054) q[0], q[6]; crz(-0.0919) q[0], q[5]; crz(-0.0869) q[0], q[4]; crz(-0.0876) q[0], q[3]; crz(-0.0287) q[0], q[2]; crz(-0.096) q[0], q[1]; rx(0.2861) q[0]; rz(0.0002) q[0]; rx(0.0983) q[1]; rz(0.0037) q[1]; rx(0.2964) q[2]; rz(0.009) q[2]; rx(0.101) q[3]; rz(0.003) q[3]; rx(0.239) q[4]; rz(0.0016) q[4]; rx(0.1652) q[5]; rz(0.0067) q[5]; rx(0.2317) q[6]; rz(0.0046) q[6]; rx(0.2377) q[7]; rz(0.0013) q[7]; rx(0.0967) q[8]; rz(0.0085) q[8]; rx(0.2906) q[9]; rz(0.0075) q[9]; rx(0.098) q[10]; rz(0.0069) q[10]; rx(0.2899) q[11]; rz(0.008) q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x144; input float[64] x145; input float[64] x146; input float[64] x147; input float[64] x148; input float[64] x149; input float[64] x15; input float[64] x150; input float[64] x151; input float[64] x152; input float[64] x153; input float[64] x154; input float[64] x155; input float[64] x156; input float[64] x157; input float[64] x158; input float[64] x159; input float[64] x16; input float[64] x160; input float[64] x161; input float[64] x162; input float[64] x163; input float[64] x164; input float[64] x165; input float[64] x166; input float[64] x167; input float[64] x168; input float[64] x169; input float[64] x17; input float[64] x170; input float[64] x171; input float[64] x172; input float[64] x173; input float[64] x174; input float[64] x175; input float[64] x176; input float[64] x177; input float[64] x178; input float[64] x179; input float[64] x18; input float[64] x180; input float[64] x181; input float[64] x182; input float[64] x183; input float[64] x184; input float[64] x185; input float[64] x186; input float[64] x187; input float[64] x188; input float[64] x189; input float[64] x19; input float[64] x190; input float[64] x191; input float[64] x192; input float[64] x193; input float[64] x194; input float[64] x195; input float[64] x196; input float[64] x197; input float[64] x198; input float[64] x199; input float[64] x2; input float[64] x20; input float[64] x200; input float[64] x201; input float[64] x202; input float[64] x203; input float[64] x204; input float[64] x205; input float[64] x206; input float[64] x207; input float[64] x208; input float[64] x209; input float[64] x21; input float[64] x210; input float[64] x211; input float[64] x212; input float[64] x213; input float[64] x214; input float[64] x215; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[12] c; qubit[12] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; rx(x22) q[11]; rz(x23) q[11]; crz(x24) q[11], q[10]; crz(x25) q[11], q[9]; crz(x26) q[11], q[8]; crz(x27) q[11], q[7]; crz(x28) q[11], q[6]; crz(x29) q[11], q[5]; crz(x30) q[11], q[4]; crz(x31) q[11], q[3]; crz(x32) q[11], q[2]; crz(x33) q[11], q[1]; crz(x34) q[11], q[0]; crz(x35) q[10], q[11]; crz(x25) q[10], q[9]; crz(x26) q[10], q[8]; crz(x27) q[10], q[7]; crz(x28) q[10], q[6]; crz(x29) q[10], q[5]; crz(x30) q[10], q[4]; crz(x31) q[10], q[3]; crz(x32) q[10], q[2]; crz(x33) q[10], q[1]; crz(x34) q[10], q[0]; crz(x35) q[9], q[11]; crz(x24) q[9], q[10]; crz(x26) q[9], q[8]; crz(x27) q[9], q[7]; crz(x28) q[9], q[6]; crz(x29) q[9], q[5]; crz(x30) q[9], q[4]; crz(x31) q[9], q[3]; crz(x32) q[9], q[2]; crz(x33) q[9], q[1]; crz(x34) q[9], q[0]; crz(x35) q[8], q[11]; crz(x24) q[8], q[10]; crz(x25) q[8], q[9]; crz(x27) q[8], q[7]; crz(x28) q[8], q[6]; crz(x29) q[8], q[5]; crz(x30) q[8], q[4]; crz(x31) q[8], q[3]; crz(x32) q[8], q[2]; crz(x33) q[8], q[1]; crz(x34) q[8], q[0]; crz(x35) q[7], q[11]; crz(x24) q[7], q[10]; crz(x25) q[7], q[9]; crz(x26) q[7], q[8]; crz(x28) q[7], q[6]; crz(x29) q[7], q[5]; crz(x30) q[7], q[4]; crz(x31) q[7], q[3]; crz(x32) q[7], q[2]; crz(x33) q[7], q[1]; crz(x34) q[7], q[0]; crz(x35) q[6], q[11]; crz(x24) q[6], q[10]; crz(x25) q[6], q[9]; crz(x26) q[6], q[8]; crz(x27) q[6], q[7]; crz(x29) q[6], q[5]; crz(x30) q[6], q[4]; crz(x31) q[6], q[3]; crz(x32) q[6], q[2]; crz(x33) q[6], q[1]; crz(x34) q[6], q[0]; crz(x35) q[5], q[11]; crz(x24) q[5], q[10]; crz(x25) q[5], q[9]; crz(x26) q[5], q[8]; crz(x27) q[5], q[7]; crz(x28) q[5], q[6]; crz(x30) q[5], q[4]; crz(x31) q[5], q[3]; crz(x32) q[5], q[2]; crz(x33) q[5], q[1]; crz(x34) q[5], q[0]; crz(x35) q[4], q[11]; crz(x24) q[4], q[10]; crz(x25) q[4], q[9]; crz(x26) q[4], q[8]; crz(x27) q[4], q[7]; crz(x28) q[4], q[6]; crz(x29) q[4], q[5]; crz(x31) q[4], q[3]; crz(x32) q[4], q[2]; crz(x33) q[4], q[1]; crz(x34) q[4], q[0]; crz(x35) q[3], q[11]; crz(x24) q[3], q[10]; crz(x25) q[3], q[9]; crz(x26) q[3], q[8]; crz(x27) q[3], q[7]; crz(x28) q[3], q[6]; crz(x29) q[3], q[5]; crz(x30) q[3], q[4]; crz(x32) q[3], q[2]; crz(x33) q[3], q[1]; crz(x34) q[3], q[0]; crz(x35) q[2], q[11]; crz(x24) q[2], q[10]; crz(x25) q[2], q[9]; crz(x26) q[2], q[8]; crz(x27) q[2], q[7]; crz(x28) q[2], q[6]; crz(x29) q[2], q[5]; crz(x30) q[2], q[4]; crz(x31) q[2], q[3]; crz(x33) q[2], q[1]; crz(x34) q[2], q[0]; crz(x35) q[1], q[11]; crz(x24) q[1], q[10]; crz(x25) q[1], q[9]; crz(x26) q[1], q[8]; crz(x27) q[1], q[7]; crz(x28) q[1], q[6]; crz(x29) q[1], q[5]; crz(x30) q[1], q[4]; crz(x31) q[1], q[3]; crz(x32) q[1], q[2]; crz(x34) q[1], q[0]; crz(x35) q[0], q[11]; crz(x24) q[0], q[10]; crz(x25) q[0], q[9]; crz(x26) q[0], q[8]; crz(x27) q[0], q[7]; crz(x28) q[0], q[6]; crz(x29) q[0], q[5]; crz(x30) q[0], q[4]; crz(x31) q[0], q[3]; crz(x32) q[0], q[2]; crz(x33) q[0], q[1]; rx(x36) q[0]; rz(x37) q[0]; rx(x38) q[1]; rz(x39) q[1]; rx(x40) q[2]; rz(x41) q[2]; rx(x42) q[3]; rz(x43) q[3]; rx(x44) q[4]; rz(x45) q[4]; rx(x46) q[5]; rz(x47) q[5]; rx(x48) q[6]; rz(x49) q[6]; rx(x50) q[7]; rz(x51) q[7]; rx(x52) q[8]; rz(x53) q[8]; rx(x54) q[9]; rz(x35) q[9]; rx(x55) q[10]; rz(x56) q[10]; rx(x57) q[11]; rz(x58) q[11]; rx(x59) q[0]; rz(x1) q[0]; rx(x60) q[1]; rz(x61) q[1]; rx(x62) q[2]; rz(x63) q[2]; rx(x64) q[3]; rz(x65) q[3]; rx(x66) q[4]; rz(x67) q[4]; rx(x68) q[5]; rz(x69) q[5]; rx(x70) q[6]; rz(x71) q[6]; rx(x72) q[7]; rz(x73) q[7]; rx(x74) q[8]; rz(x75) q[8]; rx(x76) q[9]; rz(x77) q[9]; rx(x78) q[10]; rz(x79) q[10]; rx(x80) q[11]; rz(x81) q[11]; crz(x82) q[11], q[10]; crz(x83) q[11], q[9]; crz(x84) q[11], q[8]; crz(x85) q[11], q[7]; crz(x86) q[11], q[6]; crz(x87) q[11], q[5]; crz(x88) q[11], q[4]; crz(x89) q[11], q[3]; crz(x90) q[11], q[2]; crz(x91) q[11], q[1]; crz(x92) q[11], q[0]; crz(x93) q[10], q[11]; crz(x83) q[10], q[9]; crz(x84) q[10], q[8]; crz(x85) q[10], q[7]; crz(x86) q[10], q[6]; crz(x87) q[10], q[5]; crz(x88) q[10], q[4]; crz(x89) q[10], q[3]; crz(x90) q[10], q[2]; crz(x91) q[10], q[1]; crz(x92) q[10], q[0]; crz(x93) q[9], q[11]; crz(x82) q[9], q[10]; crz(x84) q[9], q[8]; crz(x85) q[9], q[7]; crz(x86) q[9], q[6]; crz(x87) q[9], q[5]; crz(x88) q[9], q[4]; crz(x89) q[9], q[3]; crz(x90) q[9], q[2]; crz(x91) q[9], q[1]; crz(x92) q[9], q[0]; crz(x93) q[8], q[11]; crz(x82) q[8], q[10]; crz(x83) q[8], q[9]; crz(x85) q[8], q[7]; crz(x86) q[8], q[6]; crz(x87) q[8], q[5]; crz(x88) q[8], q[4]; crz(x89) q[8], q[3]; crz(x90) q[8], q[2]; crz(x91) q[8], q[1]; crz(x92) q[8], q[0]; crz(x93) q[7], q[11]; crz(x82) q[7], q[10]; crz(x83) q[7], q[9]; crz(x84) q[7], q[8]; crz(x86) q[7], q[6]; crz(x87) q[7], q[5]; crz(x88) q[7], q[4]; crz(x89) q[7], q[3]; crz(x90) q[7], q[2]; crz(x91) q[7], q[1]; crz(x92) q[7], q[0]; crz(x93) q[6], q[11]; crz(x82) q[6], q[10]; crz(x83) q[6], q[9]; crz(x84) q[6], q[8]; crz(x85) q[6], q[7]; crz(x87) q[6], q[5]; crz(x88) q[6], q[4]; crz(x89) q[6], q[3]; crz(x90) q[6], q[2]; crz(x91) q[6], q[1]; crz(x92) q[6], q[0]; crz(x93) q[5], q[11]; crz(x82) q[5], q[10]; crz(x83) q[5], q[9]; crz(x84) q[5], q[8]; crz(x85) q[5], q[7]; crz(x86) q[5], q[6]; crz(x88) q[5], q[4]; crz(x89) q[5], q[3]; crz(x90) q[5], q[2]; crz(x91) q[5], q[1]; crz(x92) q[5], q[0]; crz(x93) q[4], q[11]; crz(x82) q[4], q[10]; crz(x83) q[4], q[9]; crz(x84) q[4], q[8]; crz(x85) q[4], q[7]; crz(x86) q[4], q[6]; crz(x87) q[4], q[5]; crz(x89) q[4], q[3]; crz(x90) q[4], q[2]; crz(x91) q[4], q[1]; crz(x92) q[4], q[0]; crz(x93) q[3], q[11]; crz(x82) q[3], q[10]; crz(x83) q[3], q[9]; crz(x84) q[3], q[8]; crz(x85) q[3], q[7]; crz(x86) q[3], q[6]; crz(x87) q[3], q[5]; crz(x88) q[3], q[4]; crz(x90) q[3], q[2]; crz(x91) q[3], q[1]; crz(x92) q[3], q[0]; crz(x93) q[2], q[11]; crz(x82) q[2], q[10]; crz(x83) q[2], q[9]; crz(x84) q[2], q[8]; crz(x85) q[2], q[7]; crz(x86) q[2], q[6]; crz(x87) q[2], q[5]; crz(x88) q[2], q[4]; crz(x89) q[2], q[3]; crz(x91) q[2], q[1]; crz(x92) q[2], q[0]; crz(x93) q[1], q[11]; crz(x82) q[1], q[10]; crz(x83) q[1], q[9]; crz(x84) q[1], q[8]; crz(x85) q[1], q[7]; crz(x86) q[1], q[6]; crz(x87) q[1], q[5]; crz(x88) q[1], q[4]; crz(x89) q[1], q[3]; crz(x90) q[1], q[2]; crz(x92) q[1], q[0]; crz(x93) q[0], q[11]; crz(x82) q[0], q[10]; crz(x83) q[0], q[9]; crz(x84) q[0], q[8]; crz(x85) q[0], q[7]; crz(x86) q[0], q[6]; crz(x87) q[0], q[5]; crz(x88) q[0], q[4]; crz(x89) q[0], q[3]; crz(x90) q[0], q[2]; crz(x91) q[0], q[1]; rx(x40) q[0]; rz(x94) q[0]; rx(x95) q[1]; rz(x96) q[1]; rx(x97) q[2]; rz(x98) q[2]; rx(x99) q[3]; rz(x100) q[3]; rx(x101) q[4]; rz(x102) q[4]; rx(x103) q[5]; rz(x104) q[5]; rx(x105) q[6]; rz(x106) q[6]; rx(x107) q[7]; rz(x108) q[7]; rx(x109) q[8]; rz(x110) q[8]; rx(x111) q[9]; rz(x112) q[9]; rx(x56) q[10]; rz(x113) q[10]; rx(x114) q[11]; rz(x115) q[11]; rx(x116) q[0]; rz(x117) q[0]; rx(x118) q[1]; rz(x69) q[1]; rx(x59) q[2]; rz(x119) q[2]; rx(x78) q[3]; rz(x120) q[3]; rx(x121) q[4]; rz(x122) q[4]; rx(x123) q[5]; rz(x124) q[5]; rx(x125) q[6]; rz(x126) q[6]; rx(x127) q[7]; rz(x128) q[7]; rx(x129) q[8]; rz(x130) q[8]; rx(x76) q[9]; rz(x131) q[9]; rx(x132) q[10]; rz(x133) q[10]; rx(x62) q[11]; rz(x134) q[11]; crz(x135) q[11], q[10]; crz(x136) q[11], q[9]; crz(x137) q[11], q[8]; crz(x138) q[11], q[7]; crz(x139) q[11], q[6]; crz(x140) q[11], q[5]; crz(x141) q[11], q[4]; crz(x142) q[11], q[3]; crz(x143) q[11], q[2]; crz(x144) q[11], q[1]; crz(x145) q[11], q[0]; crz(x146) q[10], q[11]; crz(x136) q[10], q[9]; crz(x137) q[10], q[8]; crz(x138) q[10], q[7]; crz(x139) q[10], q[6]; crz(x140) q[10], q[5]; crz(x141) q[10], q[4]; crz(x142) q[10], q[3]; crz(x143) q[10], q[2]; crz(x144) q[10], q[1]; crz(x145) q[10], q[0]; crz(x146) q[9], q[11]; crz(x135) q[9], q[10]; crz(x137) q[9], q[8]; crz(x138) q[9], q[7]; crz(x139) q[9], q[6]; crz(x140) q[9], q[5]; crz(x141) q[9], q[4]; crz(x142) q[9], q[3]; crz(x143) q[9], q[2]; crz(x144) q[9], q[1]; crz(x145) q[9], q[0]; crz(x146) q[8], q[11]; crz(x135) q[8], q[10]; crz(x136) q[8], q[9]; crz(x138) q[8], q[7]; crz(x139) q[8], q[6]; crz(x140) q[8], q[5]; crz(x141) q[8], q[4]; crz(x142) q[8], q[3]; crz(x143) q[8], q[2]; crz(x144) q[8], q[1]; crz(x145) q[8], q[0]; crz(x146) q[7], q[11]; crz(x135) q[7], q[10]; crz(x136) q[7], q[9]; crz(x137) q[7], q[8]; crz(x139) q[7], q[6]; crz(x140) q[7], q[5]; crz(x141) q[7], q[4]; crz(x142) q[7], q[3]; crz(x143) q[7], q[2]; crz(x144) q[7], q[1]; crz(x145) q[7], q[0]; crz(x146) q[6], q[11]; crz(x135) q[6], q[10]; crz(x136) q[6], q[9]; crz(x137) q[6], q[8]; crz(x138) q[6], q[7]; crz(x140) q[6], q[5]; crz(x141) q[6], q[4]; crz(x142) q[6], q[3]; crz(x143) q[6], q[2]; crz(x144) q[6], q[1]; crz(x145) q[6], q[0]; crz(x146) q[5], q[11]; crz(x135) q[5], q[10]; crz(x136) q[5], q[9]; crz(x137) q[5], q[8]; crz(x138) q[5], q[7]; crz(x139) q[5], q[6]; crz(x141) q[5], q[4]; crz(x142) q[5], q[3]; crz(x143) q[5], q[2]; crz(x144) q[5], q[1]; crz(x145) q[5], q[0]; crz(x146) q[4], q[11]; crz(x135) q[4], q[10]; crz(x136) q[4], q[9]; crz(x137) q[4], q[8]; crz(x138) q[4], q[7]; crz(x139) q[4], q[6]; crz(x140) q[4], q[5]; crz(x142) q[4], q[3]; crz(x143) q[4], q[2]; crz(x144) q[4], q[1]; crz(x145) q[4], q[0]; crz(x146) q[3], q[11]; crz(x135) q[3], q[10]; crz(x136) q[3], q[9]; crz(x137) q[3], q[8]; crz(x138) q[3], q[7]; crz(x139) q[3], q[6]; crz(x140) q[3], q[5]; crz(x141) q[3], q[4]; crz(x143) q[3], q[2]; crz(x144) q[3], q[1]; crz(x145) q[3], q[0]; crz(x146) q[2], q[11]; crz(x135) q[2], q[10]; crz(x136) q[2], q[9]; crz(x137) q[2], q[8]; crz(x138) q[2], q[7]; crz(x139) q[2], q[6]; crz(x140) q[2], q[5]; crz(x141) q[2], q[4]; crz(x142) q[2], q[3]; crz(x144) q[2], q[1]; crz(x145) q[2], q[0]; crz(x146) q[1], q[11]; crz(x135) q[1], q[10]; crz(x136) q[1], q[9]; crz(x137) q[1], q[8]; crz(x138) q[1], q[7]; crz(x139) q[1], q[6]; crz(x140) q[1], q[5]; crz(x141) q[1], q[4]; crz(x142) q[1], q[3]; crz(x143) q[1], q[2]; crz(x145) q[1], q[0]; crz(x146) q[0], q[11]; crz(x135) q[0], q[10]; crz(x136) q[0], q[9]; crz(x137) q[0], q[8]; crz(x138) q[0], q[7]; crz(x139) q[0], q[6]; crz(x140) q[0], q[5]; crz(x141) q[0], q[4]; crz(x142) q[0], q[3]; crz(x143) q[0], q[2]; crz(x144) q[0], q[1]; rx(x147) q[0]; rz(x148) q[0]; rx(x149) q[1]; rz(x150) q[1]; rx(x151) q[2]; rz(x152) q[2]; rx(x153) q[3]; rz(x154) q[3]; rx(x155) q[4]; rz(x156) q[4]; rx(x157) q[5]; rz(x158) q[5]; rx(x159) q[6]; rz(x160) q[6]; rx(x161) q[7]; rz(x82) q[7]; rx(x162) q[8]; rz(x163) q[8]; rx(x62) q[9]; rz(x164) q[9]; rx(x165) q[10]; rz(x166) q[10]; rx(x167) q[11]; rz(x168) q[11]; rx(x169) q[0]; rz(x170) q[0]; rx(x171) q[1]; rz(x172) q[1]; rx(x173) q[2]; rz(x174) q[2]; rx(x16) q[3]; rz(x175) q[3]; rx(x176) q[4]; rz(x177) q[4]; rx(x178) q[5]; rz(x179) q[5]; rx(x180) q[6]; rz(x6) q[6]; rx(x181) q[7]; rz(x182) q[7]; rx(x6) q[8]; rz(x183) q[8]; rx(x4) q[9]; rz(x184) q[9]; rx(x133) q[10]; rz(x166) q[10]; rx(x185) q[11]; rz(x134) q[11]; crz(x186) q[11], q[10]; crz(x187) q[11], q[9]; crz(x188) q[11], q[8]; crz(x189) q[11], q[7]; crz(x74) q[11], q[6]; crz(x190) q[11], q[5]; crz(x191) q[11], q[4]; crz(x192) q[11], q[3]; crz(x193) q[11], q[2]; crz(x194) q[11], q[1]; crz(x195) q[11], q[0]; crz(x196) q[10], q[11]; crz(x187) q[10], q[9]; crz(x188) q[10], q[8]; crz(x189) q[10], q[7]; crz(x74) q[10], q[6]; crz(x190) q[10], q[5]; crz(x191) q[10], q[4]; crz(x192) q[10], q[3]; crz(x193) q[10], q[2]; crz(x194) q[10], q[1]; crz(x195) q[10], q[0]; crz(x196) q[9], q[11]; crz(x186) q[9], q[10]; crz(x188) q[9], q[8]; crz(x189) q[9], q[7]; crz(x74) q[9], q[6]; crz(x190) q[9], q[5]; crz(x191) q[9], q[4]; crz(x192) q[9], q[3]; crz(x193) q[9], q[2]; crz(x194) q[9], q[1]; crz(x195) q[9], q[0]; crz(x196) q[8], q[11]; crz(x186) q[8], q[10]; crz(x187) q[8], q[9]; crz(x189) q[8], q[7]; crz(x74) q[8], q[6]; crz(x190) q[8], q[5]; crz(x191) q[8], q[4]; crz(x192) q[8], q[3]; crz(x193) q[8], q[2]; crz(x194) q[8], q[1]; crz(x195) q[8], q[0]; crz(x196) q[7], q[11]; crz(x186) q[7], q[10]; crz(x187) q[7], q[9]; crz(x188) q[7], q[8]; crz(x74) q[7], q[6]; crz(x190) q[7], q[5]; crz(x191) q[7], q[4]; crz(x192) q[7], q[3]; crz(x193) q[7], q[2]; crz(x194) q[7], q[1]; crz(x195) q[7], q[0]; crz(x196) q[6], q[11]; crz(x186) q[6], q[10]; crz(x187) q[6], q[9]; crz(x188) q[6], q[8]; crz(x189) q[6], q[7]; crz(x190) q[6], q[5]; crz(x191) q[6], q[4]; crz(x192) q[6], q[3]; crz(x193) q[6], q[2]; crz(x194) q[6], q[1]; crz(x195) q[6], q[0]; crz(x196) q[5], q[11]; crz(x186) q[5], q[10]; crz(x187) q[5], q[9]; crz(x188) q[5], q[8]; crz(x189) q[5], q[7]; crz(x74) q[5], q[6]; crz(x191) q[5], q[4]; crz(x192) q[5], q[3]; crz(x193) q[5], q[2]; crz(x194) q[5], q[1]; crz(x195) q[5], q[0]; crz(x196) q[4], q[11]; crz(x186) q[4], q[10]; crz(x187) q[4], q[9]; crz(x188) q[4], q[8]; crz(x189) q[4], q[7]; crz(x74) q[4], q[6]; crz(x190) q[4], q[5]; crz(x192) q[4], q[3]; crz(x193) q[4], q[2]; crz(x194) q[4], q[1]; crz(x195) q[4], q[0]; crz(x196) q[3], q[11]; crz(x186) q[3], q[10]; crz(x187) q[3], q[9]; crz(x188) q[3], q[8]; crz(x189) q[3], q[7]; crz(x74) q[3], q[6]; crz(x190) q[3], q[5]; crz(x191) q[3], q[4]; crz(x193) q[3], q[2]; crz(x194) q[3], q[1]; crz(x195) q[3], q[0]; crz(x196) q[2], q[11]; crz(x186) q[2], q[10]; crz(x187) q[2], q[9]; crz(x188) q[2], q[8]; crz(x189) q[2], q[7]; crz(x74) q[2], q[6]; crz(x190) q[2], q[5]; crz(x191) q[2], q[4]; crz(x192) q[2], q[3]; crz(x194) q[2], q[1]; crz(x195) q[2], q[0]; crz(x196) q[1], q[11]; crz(x186) q[1], q[10]; crz(x187) q[1], q[9]; crz(x188) q[1], q[8]; crz(x189) q[1], q[7]; crz(x74) q[1], q[6]; crz(x190) q[1], q[5]; crz(x191) q[1], q[4]; crz(x192) q[1], q[3]; crz(x193) q[1], q[2]; crz(x195) q[1], q[0]; crz(x196) q[0], q[11]; crz(x186) q[0], q[10]; crz(x187) q[0], q[9]; crz(x188) q[0], q[8]; crz(x189) q[0], q[7]; crz(x74) q[0], q[6]; crz(x190) q[0], q[5]; crz(x191) q[0], q[4]; crz(x192) q[0], q[3]; crz(x193) q[0], q[2]; crz(x194) q[0], q[1]; rx(x197) q[0]; rz(x198) q[0]; rx(x78) q[1]; rz(x199) q[1]; rx(x200) q[2]; rz(x201) q[2]; rx(x153) q[3]; rz(x202) q[3]; rx(x203) q[4]; rz(x204) q[4]; rx(x205) q[5]; rz(x206) q[5]; rx(x161) q[6]; rz(x207) q[6]; rx(x208) q[7]; rz(x209) q[7]; rx(x109) q[8]; rz(x210) q[8]; rx(x54) q[9]; rz(x211) q[9]; rx(x212) q[10]; rz(x213) q[10]; rx(x214) q[11]; rz(x215) q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"communities_size": 3, "number_of_communities": 2}
{"circuits": [], "gradients": []}
cc9adb9c1d6eb8a7e18184b9ea3c977a
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": 4, "target": 8}, {"source": 6, "target": 8}]}
{"states": [267, 299], "expectation_value": -4.143594968352035, "params": [0.8022, -0.023, 0.5491, -0.1842, 0.0027, 0.2978, 0.8105, 0.0006000000000000001, 0.33580000000000004, 0.019, 0.8072, -0.002, 0.0165, 0.2436, 0.7992, 0.0007, 0.8081, 0.0002, 0.8028000000000001, -0.018600000000000002, 0.4818, -0.23520000000000002, -0.0085, 0.2384, 0.808, 0.0044, 0.0017000000000000001, -0.0172, 0.8122, 0.0533, 0.0158, 0.22240000000000001, 0.7986000000000001, 0.0005, 0.8046000000000001, 0.0018000000000000002, -0.7813, 0.74, 0.0016, 0.5850000000000001, -0.17200000000000001, 0.7309, 0.034800000000000005, 0.5561, -0.7795000000000001, 0.3917, -0.0376, 0.7783, -0.36050000000000004, 0.7598, -0.0796, 0.7923], "bitstrings": ["011110100", "011010100"], "total_optimization_steps": 80, "probabilities": [0.049400746434546214, 0.05573969389834322], "optimization_time": 18.059513807296753}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(8) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(7) + 0.0 * Z(3)
4
9
2
{"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(0.8022) q[0]; rz(-0.023) q[0]; rx(0.5491) q[1]; rz(-0.1842) q[1]; rx(0.0027) q[2]; rz(0.2978) q[2]; rx(0.8105) q[3]; rz(0.0006) q[3]; rx(0.3358) q[4]; rz(0.019) q[4]; rx(0.8072) q[5]; rz(-0.002) q[5]; rx(0.0165) q[6]; rz(0.2436) q[6]; rx(0.7992) q[7]; rz(0.0007) q[7]; rx(0.8081) q[8]; rz(0.0002) q[8]; crx(0.5561) q[8], q[7]; crx(0.0348) q[7], q[6]; crx(0.7309) q[6], q[5]; crx(-0.172) q[5], q[4]; crx(0.585) q[4], q[3]; crx(0.0016) q[3], q[2]; crx(0.74) q[2], q[1]; crx(-0.7813) q[1], q[0]; rx(0.8028) q[0]; rz(-0.0186) q[0]; rx(0.4818) q[1]; rz(-0.2352) q[1]; rx(-0.0085) q[2]; rz(0.2384) q[2]; rx(0.808) q[3]; rz(0.0044) q[3]; rx(0.0017) q[4]; rz(-0.0172) q[4]; rx(0.8122) q[5]; rz(0.0533) q[5]; rx(0.0158) q[6]; rz(0.2224) q[6]; rx(0.7986) q[7]; rz(0.0005) q[7]; rx(0.8046) q[8]; rz(0.0018) q[8]; crx(0.7923) q[8], q[7]; crx(-0.0796) q[7], q[6]; crx(0.7598) q[6], q[5]; crx(-0.3605) q[5], q[4]; crx(0.7783) q[4], q[3]; crx(-0.0376) q[3], q[2]; crx(0.3917) q[2], q[1]; crx(-0.7795) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; crx(x18) q[8], q[7]; crx(x19) q[7], q[6]; crx(x20) q[6], q[5]; crx(x21) q[5], q[4]; crx(x22) q[4], q[3]; crx(x23) q[3], q[2]; crx(x24) q[2], q[1]; crx(x25) q[1], q[0]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; crx(x44) q[8], q[7]; crx(x45) q[7], q[6]; crx(x46) q[6], q[5]; crx(x47) q[5], q[4]; crx(x48) q[4], q[3]; crx(x49) q[3], q[2]; crx(x50) q[2], q[1]; crx(x51) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
717427729600501566
hypermaxcut
adaptive_vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [0, 1, 2, 3, 5, 6], [8, 0, 3], [8, 0, 5], [0, 4, 6], [6, 7]]}
{"states": [389, 453], "expectation_value": -2.037301223367641, "params": null, "bitstrings": ["001111010", "000111010"], "total_optimization_steps": 65, "probabilities": [0.07126927730965221, 0.6286670057308085], "optimization_time": 101.53100252151489}
0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.19999999999999998 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.19999999999999998 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.08333333333333326 * Z(1) + 0.5833333333333333 * Z(0) + 0.08333333333333333 * Z(2) + 0.25 * Z(3) + 0.25 * Z(5) + 0.25 * Z(6) + 0.3333333333333333 * Z(8) + 0.0 * Z(7)
1
9
1
{"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["000111010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; ry(1.4977) q[0]; cry(-1.0336) q[1], q[4]; ry(0.7936) q[1]; cry(-1.0342) q[6], q[7]; ry(0.8786) q[6]; ry(-0.6432) q[4]; cry(0.5398) q[0], q[1]; ry(-0.5966) q[7]; cry(0.4916) q[0], q[6]; cry(-0.3074) q[0], q[4]; cry(-0.3353) q[0], q[7]; cry(0.1513) q[1], q[6]; cry(-0.4218) q[8], q[5]; cry(0.1761) q[6], q[1]; cry(-0.3917) q[8], q[3]; ry(0.2848) q[8]; cry(-0.2673) q[5], q[8]; cry(-0.2363) q[3], q[8]; cry(0.2234) q[0], q[8]; cry(-0.0775) q[6], q[4]; cry(-0.0903) q[1], q[7]; cry(-0.1752) q[1], q[3]; cry(0.2106) q[1], q[8]; cry(-0.2722) q[1], q[5]; cry(0.2291) q[6], q[8]; cry(-0.3292) q[6], q[3]; cry(-0.2694) q[6], q[5]; cry(0.1992) q[2], q[8]; cry(-0.2336) q[0], q[3]; cry(-0.1956) q[0], q[5]; ry(0.2082) q[2]; cry(0.1992) q[0], q[2]; cry(-0.1651) q[2], q[3]; cry(0.1798) q[8], q[2]; cry(-0.1674) q[2], q[5]; cry(0.0658) q[1], q[0]; cry(0.1502) q[6], q[2]; cry(0.1325) q[1], q[2]; ry(-0.1118) q[3]; cry(0.0519) q[2], q[1]; ry(-0.0859) q[5]; cry(0.0387) q[2], q[6]; cry(-0.024) q[2], q[7]; cry(-0.0191) q[2], q[4]; cry(0.0518) q[4], q[8]; cry(0.0483) q[7], q[8]; cry(0.0161) q[8], q[1]; cry(0.0126) q[8], q[6]; cry(0.026) q[7], q[1]; cry(0.0253) q[4], q[2]; cry(0.025) q[7], q[2]; cry(-0.0069) q[8], q[4]; cry(-0.008) q[8], q[7]; cry(0.0185) q[5], q[3]; cry(0.0168) q[3], q[5]; cry(0.0145) q[4], q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\ncry(0.0145) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\ncry(0.0145) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n"], "gradients": [0.5782, 0.2516, 0.2868, 0.2514, 0.3309, 0.3124, 0.2643, 0.2599, 0.2841, 0.1932, 0.1745, 0.0912, 0.0873, 0.0882, 0.0808, 0.0648, 0.0563, 0.0513, 0.0551, 0.0503, 0.0471, 0.0405, 0.053, 0.0635, 0.061, 0.0782, 0.0651, 0.0493, 0.0581, 0.049, 0.0418, 0.0407, 0.0407, 0.0375, 0.0422, 0.0378, 0.0317, 0.0282, 0.0294, 0.0245, 0.0227, 0.0214, 0.0125, 0.0122, 0.0106, 0.0099, 0.0072, 0.0065, 0.0056, 0.0051, 0.005, 0.0049, 0.0046, 0.0045, 0.0043, 0.0042, 0.0039, 0.0037, 0.0036, 0.0035, 0.0034, 0.0033, 0.0031, 0.003, 0.0029]}
7dd0a85ae083861a7e6473750beb50c4
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [1010, 754], "expectation_value": -2.807203052241903, "params": [3.0874, 0.0064, 1.4998, 0.0058000000000000005, 3.0887000000000002, 0.0007, 1.6693, 0.0053, 3.0599000000000003, 0.0005, 3.0954, 0.0026000000000000003, -0.0024000000000000002, 0.0079, 0.0022, 0.0044, 2.9774000000000003, 0.009600000000000001, 0.0022, 0.0022, 0.0004, 0.0053, 0.0095, 0.0091, 0.0058000000000000005, 0.003, 0.0033, 0.009000000000000001, 0.0049, 0.0013000000000000002, 0.0025, 0.0028, 0.0012000000000000001, 0.0046, 0.0092, 0.0067, 0.0007, 0.0001, 0.0028, 0.0036000000000000003], "bitstrings": ["0000001101", "0100001101"], "total_optimization_steps": 310, "probabilities": [0.2524561637870438, 0.2910307278776246], "optimization_time": 13.732762336730957}
0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(4) @ Z(1) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(1) @ Z(5) @ Z(7)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(2) @ Z(8) @ Z(9)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.1875 * Z(2) + -0.0625 * Z(3) + -0.0625 * Z(4) + 0.0 * Z(5) + -0.25 * Z(6) + -0.25 * Z(7) + -0.25 * Z(8) + -0.25 * Z(9)
16
10
1
{"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0001011010", "0000101101", "0011001100", "1000100101", "1000001101", "0010001101", "0001001110", "0001001101", "0001110010", "0101001010", "0100001101", "0100001011", "0000110101", "0000110011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; rx(3.0874) q[0]; rz(0.0064) q[0]; rx(1.4998) q[1]; rz(0.0058) q[1]; rx(3.0887) q[2]; rz(0.0007) q[2]; rx(1.6693) q[3]; rz(0.0053) q[3]; rx(3.0599) q[4]; rz(0.0005) q[4]; rx(3.0954) q[5]; rz(0.0026) q[5]; rx(-0.0024) q[6]; rz(0.0079) q[6]; rx(0.0022) q[7]; rz(0.0044) q[7]; rx(2.9774) q[8]; rz(0.0096) q[8]; rx(0.0022) q[9]; rz(0.0022) q[9]; crz(0.0004) q[1], q[0]; crz(0.0058) q[3], q[2]; crz(0.0049) q[5], q[4]; crz(0.0012) q[7], q[6]; crz(0.0007) q[9], q[8]; crz(0.0091) q[2], q[1]; crz(0.009) q[4], q[3]; crz(0.0028) q[6], q[5]; crz(0.0067) q[8], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x14) q[9]; rz(x14) q[9]; crz(x18) q[1], q[0]; crz(x3) q[3], q[2]; crz(x19) q[5], q[4]; crz(x20) q[7], q[6]; crz(x5) q[9], q[8]; crz(x21) q[2], q[1]; crz(x22) q[4], q[3]; crz(x23) q[6], q[5]; crz(x24) q[8], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
2cd930b90c9acbaa9464962c3608d11c
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 6, "target": 7}]}
{"states": [224, 240], "expectation_value": -4.5095163957159885, "params": [0.7794000000000001, -0.0038, 0.8016000000000001, 0.0029000000000000002, 0.7808, -0.0032, -0.40040000000000003, -0.0007, 0.0024000000000000002, 0.5513, -0.0148, -0.34750000000000003, 0.0063, 0.5337000000000001, 0.0004, 0.5879, 0.7786000000000001, -0.0045000000000000005, 0.8057000000000001, 0.0021000000000000003, 0.7814, -0.0026000000000000003, -0.4001, 0.0002, 0.0023, 0.5519000000000001, -0.0244, -0.3302, -0.0005, 0.5779000000000001, -0.0073, 0.6256, 0.7864, -0.0039000000000000003, 0.8074, 0.0078000000000000005, 0.7857000000000001, -0.0105, -0.40040000000000003, -0.0097, 0.0038, 0.5438000000000001, -0.0188, -0.3173, 0.0021000000000000003, 0.5555, -0.0049, 0.6303000000000001, 0.7872, 0.0026000000000000003, 0.8046000000000001, 0.0026000000000000003, 0.7845000000000001, 0.004, -0.39630000000000004, 0.003, 0.0022, 0.0081, -0.0195, 0.0026000000000000003, 0.0046, 0.0016, -0.0004, 0.006, -0.007200000000000001, -0.012700000000000001, 0.012100000000000001, -0.5459, 0.5546, -0.5246000000000001, -0.15460000000000002, -0.0047, 0.0081, -0.02, -0.5482, 0.5867, -0.5706, -0.0698, -0.0034000000000000002, -0.0076, 0.0181, -0.539, 0.5993, -0.5576, 0.0007, 0.0002, 0.0092, 0.0055000000000000005, 0.0073, 0.0094, 0.004200000000000001, 0.001], "bitstrings": ["00011111", "00001111"], "total_optimization_steps": 90, "probabilities": [0.4854462609641571, 0.5118915583852635], "optimization_time": 9.880802869796753}
0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(7) + -1.0 * Z(3)
3
8
4
{"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00001111"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(0.7794) q[0]; rz(-0.0038) q[0]; rx(0.8016) q[1]; rz(0.0029) q[1]; rx(0.7808) q[2]; rz(-0.0032) q[2]; rx(-0.4004) q[3]; rz(-0.0007) q[3]; rx(0.0024) q[4]; rz(0.5513) q[4]; rx(-0.0148) q[5]; rz(-0.3475) q[5]; rx(0.0063) q[6]; rz(0.5337) q[6]; rx(0.0004) q[7]; rz(0.5879) q[7]; crz(-0.1546) q[7], q[6]; crz(-0.5246) q[6], q[5]; crz(0.5546) q[5], q[4]; crz(-0.5459) q[4], q[3]; crz(0.0121) q[3], q[2]; crz(-0.0127) q[2], q[1]; crz(-0.0072) q[1], q[0]; rx(0.7786) q[0]; rz(-0.0045) q[0]; rx(0.8057) q[1]; rz(0.0021) q[1]; rx(0.7814) q[2]; rz(-0.0026) q[2]; rx(-0.4001) q[3]; rz(0.0002) q[3]; rx(0.0023) q[4]; rz(0.5519) q[4]; rx(-0.0244) q[5]; rz(-0.3302) q[5]; rx(-0.0005) q[6]; rz(0.5779) q[6]; rx(-0.0073) q[7]; rz(0.6256) q[7]; crz(-0.0698) q[7], q[6]; crz(-0.5706) q[6], q[5]; crz(0.5867) q[5], q[4]; crz(-0.5482) q[4], q[3]; crz(-0.02) q[3], q[2]; crz(0.0081) q[2], q[1]; crz(-0.0047) q[1], q[0]; rx(0.7864) q[0]; rz(-0.0039) q[0]; rx(0.8074) q[1]; rz(0.0078) q[1]; rx(0.7857) q[2]; rz(-0.0105) q[2]; rx(-0.4004) q[3]; rz(-0.0097) q[3]; rx(0.0038) q[4]; rz(0.5438) q[4]; rx(-0.0188) q[5]; rz(-0.3173) q[5]; rx(0.0021) q[6]; rz(0.5555) q[6]; rx(-0.0049) q[7]; rz(0.6303) q[7]; crz(0.0007) q[7], q[6]; crz(-0.5576) q[6], q[5]; crz(0.5993) q[5], q[4]; crz(-0.539) q[4], q[3]; crz(0.0181) q[3], q[2]; crz(-0.0076) q[2], q[1]; crz(-0.0034) q[1], q[0]; rx(0.7872) q[0]; rz(0.0026) q[0]; rx(0.8046) q[1]; rz(0.0026) q[1]; rx(0.7845) q[2]; rz(0.004) q[2]; rx(-0.3963) q[3]; rz(0.003) q[3]; rx(0.0022) q[4]; rz(0.0081) q[4]; rx(-0.0195) q[5]; rz(0.0026) q[5]; rx(0.0046) q[6]; rz(0.0016) q[6]; rx(-0.0004) q[7]; rz(0.006) q[7]; crz(0.001) q[7], q[6]; crz(0.0042) q[6], q[5]; crz(0.0094) q[5], q[4]; crz(0.0073) q[4], q[3]; crz(0.0055) q[3], q[2]; crz(0.0092) q[2], q[1]; crz(0.0002) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crz(x16) q[7], q[6]; crz(x17) q[6], q[5]; crz(x18) q[5], q[4]; crz(x19) q[4], q[3]; crz(x20) q[3], q[2]; crz(x21) q[2], q[1]; crz(x22) q[1], q[0]; rx(x23) q[0]; rz(x24) q[0]; rx(x25) q[1]; rz(x26) q[1]; rx(x27) q[2]; rz(x28) q[2]; rx(x29) q[3]; rz(x30) q[3]; rx(x31) q[4]; rz(x32) q[4]; rx(x33) q[5]; rz(x34) q[5]; rx(x35) q[6]; rz(x36) q[6]; rx(x37) q[7]; rz(x38) q[7]; crz(x39) q[7], q[6]; crz(x40) q[6], q[5]; crz(x41) q[5], q[4]; crz(x42) q[4], q[3]; crz(x43) q[3], q[2]; crz(x44) q[2], q[1]; crz(x45) q[1], q[0]; rx(x46) q[0]; rz(x47) q[0]; rx(x48) q[1]; rz(x49) q[1]; rx(x50) q[2]; rz(x51) q[2]; rx(x6) q[3]; rz(x52) q[3]; rx(x53) q[4]; rz(x54) q[4]; rx(x55) q[5]; rz(x56) q[5]; rx(x26) q[6]; rz(x57) q[6]; rx(x58) q[7]; rz(x59) q[7]; crz(x60) q[7], q[6]; crz(x61) q[6], q[5]; crz(x62) q[5], q[4]; crz(x63) q[4], q[3]; crz(x64) q[3], q[2]; crz(x65) q[2], q[1]; crz(x66) q[1], q[0]; rx(x67) q[0]; rz(x68) q[0]; rx(x69) q[1]; rz(x68) q[1]; rx(x70) q[2]; rz(x71) q[2]; rx(x72) q[3]; rz(x73) q[3]; rx(x74) q[4]; rz(x44) q[4]; rx(x75) q[5]; rz(x68) q[5]; rx(x76) q[6]; rz(x77) q[6]; rx(x78) q[7]; rz(x79) q[7]; crz(x80) q[7], q[6]; crz(x81) q[6], q[5]; crz(x82) q[5], q[4]; crz(x83) q[4], q[3]; crz(x84) q[3], q[2]; crz(x85) q[2], q[1]; crz(x30) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
-540466935978038807
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [1, 2, 3], [0, 5, 6], [3, 7], [4, 5, 7], [1, 2, 6], [3, 5], [1, 6, 7], [0, 4], [1, 4, 7], [0, 1, 2], [4, 6], [2, 4]]}
{"states": [90, 167], "expectation_value": -0.17176342554180488, "params": [[0.07830000000000001], [-0.08320000000000001]], "bitstrings": ["10100101", "01011000"], "total_optimization_steps": 10, "probabilities": [0.004537086058714577, 0.004684329220786361], "optimization_time": 2.981811761856079}
0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.33333333333333326 * Z(3) + 0.5000000000000001 * Z(0) + 0.6666666666666667 * Z(6) + 0.8333333333333333 * Z(1) + 0.5 * Z(2) + 0.33333333333333326 * Z(5) + 0.5000000000000001 * Z(7) + 0.3333333333333337 * Z(4)
1
8
1
{"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333332, "smallest_bitstrings": ["01011000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[3], q[0]; rz(0.0261) q[0]; cx q[3], q[0]; cx q[3], q[6]; rz(0.0261) q[6]; cx q[3], q[6]; cx q[0], q[6]; rz(0.0522) q[6]; cx q[0], q[6]; cx q[3], q[1]; rz(0.0261) q[1]; cx q[3], q[1]; cx q[0], q[1]; rz(0.0261) q[1]; cx q[0], q[1]; cx q[6], q[1]; rz(0.0522) q[1]; cx q[6], q[1]; cx q[3], q[2]; rz(0.0261) q[2]; cx q[3], q[2]; cx q[0], q[2]; rz(0.0261) q[2]; cx q[0], q[2]; cx q[6], q[2]; rz(0.0261) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(0.0783) q[2]; cx q[1], q[2]; cx q[3], q[5]; rz(0.0783) q[5]; cx q[3], q[5]; cx q[0], q[5]; rz(0.0261) q[5]; cx q[0], q[5]; cx q[6], q[5]; rz(0.0261) q[5]; cx q[6], q[5]; cx q[3], q[7]; rz(0.0783) q[7]; cx q[3], q[7]; cx q[6], q[7]; rz(0.0261) q[7]; cx q[6], q[7]; cx q[1], q[7]; rz(0.0522) q[7]; cx q[1], q[7]; cx q[5], q[7]; rz(0.0261) q[7]; cx q[5], q[7]; cx q[0], q[4]; rz(0.0783) q[4]; cx q[0], q[4]; cx q[6], q[4]; rz(0.0783) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(0.0261) q[4]; cx q[1], q[4]; cx q[2], q[4]; rz(0.0783) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(0.0261) q[4]; cx q[5], q[4]; cx q[7], q[4]; rz(0.0522) q[4]; cx q[7], q[4]; rz(0.0522) q[3]; rz(0.0783) q[0]; rz(0.1044) q[6]; rz(0.1305) q[1]; rz(0.0783) q[2]; rz(0.0522) q[5]; rz(0.0783) q[7]; rz(0.0522) q[4]; h q[0]; rz(-0.1664) q[0]; h q[0]; h q[1]; rz(-0.1664) q[1]; h q[1]; h q[2]; rz(-0.1664) q[2]; h q[2]; h q[3]; rz(-0.1664) q[3]; h q[3]; h q[4]; rz(-0.1664) q[4]; h q[4]; h q[5]; rz(-0.1664) q[5]; h q[5]; h q[6]; rz(-0.1664) q[6]; h q[6]; h q[7]; rz(-0.1664) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[3], q[0]; rz(x0) q[0]; cx q[3], q[0]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[3], q[1]; rz(x0) q[1]; cx q[3], q[1]; cx q[0], q[1]; rz(x0) q[1]; cx q[0], q[1]; cx q[6], q[1]; rz(x1) q[1]; cx q[6], q[1]; cx q[3], q[2]; rz(x0) q[2]; cx q[3], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[6], q[2]; rz(x0) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(x2) q[2]; cx q[1], q[2]; cx q[3], q[5]; rz(x2) q[5]; cx q[3], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; cx q[3], q[7]; rz(x2) q[7]; cx q[3], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[0], q[4]; rz(x2) q[4]; cx q[0], q[4]; cx q[6], q[4]; rz(x2) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[2], q[4]; rz(x2) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[7], q[4]; rz(x1) q[4]; cx q[7], q[4]; rz(x1) q[3]; rz(x2) q[0]; rz(x3) q[6]; rz(x4) q[1]; rz(x2) q[2]; rz(x1) q[5]; rz(x2) q[7]; rz(x1) q[4]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; h q[7]; rz(x5) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
3818ce8f8ec333f1e3cdd221545ea640
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 5}, {"weight": 12, "source": 3, "target": 4}, {"weight": 19, "source": 3, "target": 6}, {"weight": 3, "source": 4, "target": 5}]}
{"states": [174, 110], "expectation_value": -21.397429834290335, "params": [[-0.031, -0.012400000000000001, -0.0218, 0.014400000000000001], [0.0629, 0.0458, 0.0645, 0.044700000000000004]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01822125245882703, 0.025464381018916758], "optimization_time": 6.08306622505188}
4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5 * Z(4) + 14.0 * Z(5) + 17.5 * Z(6) + 1.5 * Z(7)
1
8
4
{"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(-0.248) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.248) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(-0.248) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(-0.248) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.248) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.248) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(-0.248) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(-0.248) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.248) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(-0.248) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(-0.248) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(-0.248) q[7]; cx q[5], q[7]; rz(-0.403) q[1]; rz(-0.093) q[0]; rz(-0.93) q[2]; rz(-0.527) q[3]; rz(-0.589) q[4]; rz(-0.868) q[5]; rz(-1.085) q[6]; rz(-0.093) q[7]; h q[0]; rz(0.1258) q[0]; h q[0]; h q[1]; rz(0.1258) q[1]; h q[1]; h q[2]; rz(0.1258) q[2]; h q[2]; h q[3]; rz(0.1258) q[3]; h q[3]; h q[4]; rz(0.1258) q[4]; h q[4]; h q[5]; rz(0.1258) q[5]; h q[5]; h q[6]; rz(0.1258) q[6]; h q[6]; h q[7]; rz(0.1258) q[7]; h q[7]; cx q[1], q[0]; rz(-0.0992) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.0992) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(-0.0992) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(-0.0992) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.0992) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.0992) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(-0.0992) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(-0.0992) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.0992) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(-0.0992) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(-0.0992) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(-0.0992) q[7]; cx q[5], q[7]; rz(-0.1612) q[1]; rz(-0.0372) q[0]; rz(-0.372) q[2]; rz(-0.2108) q[3]; rz(-0.2356) q[4]; rz(-0.3472) q[5]; rz(-0.434) q[6]; rz(-0.0372) q[7]; h q[0]; rz(0.0916) q[0]; h q[0]; h q[1]; rz(0.0916) q[1]; h q[1]; h q[2]; rz(0.0916) q[2]; h q[2]; h q[3]; rz(0.0916) q[3]; h q[3]; h q[4]; rz(0.0916) q[4]; h q[4]; h q[5]; rz(0.0916) q[5]; h q[5]; h q[6]; rz(0.0916) q[6]; h q[6]; h q[7]; rz(0.0916) q[7]; h q[7]; cx q[1], q[0]; rz(-0.1744) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.1744) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(-0.1744) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(-0.1744) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.1744) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.1744) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(-0.1744) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(-0.1744) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.1744) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(-0.1744) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(-0.1744) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(-0.1744) q[7]; cx q[5], q[7]; rz(-0.2834) q[1]; rz(-0.0654) q[0]; rz(-0.654) q[2]; rz(-0.3706) q[3]; rz(-0.4142) q[4]; rz(-0.6104) q[5]; rz(-0.763) q[6]; rz(-0.0654) q[7]; h q[0]; rz(0.129) q[0]; h q[0]; h q[1]; rz(0.129) q[1]; h q[1]; h q[2]; rz(0.129) q[2]; h q[2]; h q[3]; rz(0.129) q[3]; h q[3]; h q[4]; rz(0.129) q[4]; h q[4]; h q[5]; rz(0.129) q[5]; h q[5]; h q[6]; rz(0.129) q[6]; h q[6]; h q[7]; rz(0.129) q[7]; h q[7]; cx q[1], q[0]; rz(0.1152) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(0.1152) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(0.1152) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(0.1152) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(0.1152) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.1152) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(0.1152) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(0.1152) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.1152) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.1152) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(0.1152) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(0.1152) q[7]; cx q[5], q[7]; rz(0.1872) q[1]; rz(0.0432) q[0]; rz(0.432) q[2]; rz(0.2448) q[3]; rz(0.2736) q[4]; rz(0.4032) q[5]; rz(0.504) q[6]; rz(0.0432) q[7]; h q[0]; rz(0.0894) q[0]; h q[0]; h q[1]; rz(0.0894) q[1]; h q[1]; h q[2]; rz(0.0894) q[2]; h q[2]; h q[3]; rz(0.0894) q[3]; h q[3]; h q[4]; rz(0.0894) q[4]; h q[4]; h q[5]; rz(0.0894) q[5]; h q[5]; h q[6]; rz(0.0894) q[6]; h q[6]; h q[7]; rz(0.0894) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x2) q[7]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; h q[7]; rz(x8) q[7]; h q[7]; cx q[1], q[0]; rz(x9) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x9) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x9) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x9) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x9) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x9) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x9) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x9) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x9) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x9) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x9) q[7]; cx q[5], q[7]; rz(x10) q[1]; rz(x11) q[0]; rz(x12) q[2]; rz(x13) q[3]; rz(x14) q[4]; rz(x15) q[5]; rz(x16) q[6]; rz(x11) q[7]; h q[0]; rz(x17) q[0]; h q[0]; h q[1]; rz(x17) q[1]; h q[1]; h q[2]; rz(x17) q[2]; h q[2]; h q[3]; rz(x17) q[3]; h q[3]; h q[4]; rz(x17) q[4]; h q[4]; h q[5]; rz(x17) q[5]; h q[5]; h q[6]; rz(x17) q[6]; h q[6]; h q[7]; rz(x17) q[7]; h q[7]; cx q[1], q[0]; rz(x18) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x18) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x18) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x18) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x18) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x18) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x18) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x18) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x18) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x18) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x18) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x18) q[7]; cx q[5], q[7]; rz(x19) q[1]; rz(x20) q[0]; rz(x21) q[2]; rz(x22) q[3]; rz(x23) q[4]; rz(x24) q[5]; rz(x25) q[6]; rz(x20) q[7]; h q[0]; rz(x26) q[0]; h q[0]; h q[1]; rz(x26) q[1]; h q[1]; h q[2]; rz(x26) q[2]; h q[2]; h q[3]; rz(x26) q[3]; h q[3]; h q[4]; rz(x26) q[4]; h q[4]; h q[5]; rz(x26) q[5]; h q[5]; h q[6]; rz(x26) q[6]; h q[6]; h q[7]; rz(x26) q[7]; h q[7]; cx q[1], q[0]; rz(x27) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x27) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x27) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x27) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x27) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x27) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x27) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x27) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x27) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x27) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x27) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x27) q[7]; cx q[5], q[7]; rz(x28) q[1]; rz(x29) q[0]; rz(x30) q[2]; rz(x31) q[3]; rz(x32) q[4]; rz(x33) q[5]; rz(x34) q[6]; rz(x29) q[7]; h q[0]; rz(x35) q[0]; h q[0]; h q[1]; rz(x35) q[1]; h q[1]; h q[2]; rz(x35) q[2]; h q[2]; h q[3]; rz(x35) q[3]; h q[3]; h q[4]; rz(x35) q[4]; h q[4]; h q[5]; rz(x35) q[5]; h q[5]; h q[6]; rz(x35) q[6]; h q[6]; h q[7]; rz(x35) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"matching": "near_perfect", "extra": "{\"n\": 7}"}
{"circuits": [], "gradients": []}
-8267579693471636242
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 10, 12], [8, 4], [3, 4, 6, 7, 9], [11, 5, 7], [2, 6], [2, 3, 5, 7, 9], [0, 10, 6, 7], [0, 3, 5, 8, 12], [0, 2], [8, 1], [0, 7, 8, 9, 12], [3, 6, 7, 10, 11]]}
{"states": [6991, 7119], "expectation_value": -3.2089477884126127, "params": [1.518, 0.0019, 1.5144, 0.0043, 1.3638000000000001, -0.0018000000000000002, 1.3014000000000001, 0.0063, 0.014, 0.7889, 0.0219, 0.003, 1.3717000000000001, 0.010700000000000001, 1.2278, -0.009300000000000001, 1.5790000000000002, -0.003, 1.5792000000000002, 0.0005, 0.4345, -0.3583, 0.4661, -0.2461, 1.1587, -0.004, 1.1587, 0.007200000000000001, 0.8255, 0.0461, 0.7781, -0.6813, 0.0013000000000000002, -0.8313, 0.0092, 0.003, 0.9883000000000001, -0.007500000000000001, 1.3462, -0.0001, 1.5394, -0.0033, 1.5434, 0.0049, 0.9008, 0.0461, 1.1059, -0.031, 1.5746, -0.0027, 1.5783, 0.007500000000000001, 0.25620000000000004, 0.8386, -0.12150000000000001, 0.5449, 0.4032, 0.7745000000000001, -1.0169000000000001, 0.1809, -0.1096, 0.8035, 0.25270000000000004, 1.1319000000000001, 0.0061], "bitstrings": ["0010010110000", "0010000110000"], "total_optimization_steps": 170, "probabilities": [0.21247782473942434, 0.225497627713343], "optimization_time": 15.952486753463745}
0.16666666666666666 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(2)) + 0.1 * (Z(8) @ Z(12)) + 0.5 * (Z(4) @ Z(8)) + 0.05 * (Z(3) @ Z(10)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(12)) + 0.05 * (Z(3) @ Z(8)) + 0.05 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(10)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(12)) + 0.05 * (Z(7) @ Z(8)) + 0.05 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(7) @ Z(3)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(12)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(4)) + 0.1 * (Z(9) @ Z(3)) + 0.05 * (Z(9) @ Z(6)) + 0.15000000000000002 * (Z(9) @ Z(7)) + 0.05 * (Z(11) @ Z(10)) + 0.05 * (Z(11) @ Z(3)) + 0.05 * (Z(11) @ Z(6)) + 0.21666666666666667 * (Z(11) @ Z(7)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(12)) + 0.05 * (Z(5) @ Z(8)) + 0.1 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(7)) + 0.05 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.08333333333333333 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(2)) + 0.1 * (Z(0) @ Z(12)) + 0.1 * (Z(0) @ Z(8)) + 0.05 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.05 * (Z(0) @ Z(9)) + 0.05 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.3916666666666667 * Z(10) + 0.26666666666666683 * Z(2) + 0.3666666666666667 * Z(12) + 0.19999999999999996 * Z(8) + 0.1000000000000002 * Z(4) + 0.4 * Z(3) + 0.32499999999999996 * Z(6) + 0.6916666666666667 * Z(7) + 0.30000000000000004 * Z(9) + 0.26666666666666666 * Z(11) + 0.3666666666666667 * Z(5) + 0.3250000000000002 * Z(0) + 0.0 * Z(1)
8
13
1
{"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7166666666666672, "smallest_bitstrings": ["0010000110000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[13] c; qubit[13] q; rx(1.518) q[0]; rz(0.0019) q[0]; rx(1.3638) q[1]; rz(-0.0018) q[1]; rx(0.014) q[2]; rz(0.7889) q[2]; rx(1.3717) q[3]; rz(0.0107) q[3]; rx(1.579) q[4]; rz(-0.003) q[4]; rx(0.4345) q[5]; rz(-0.3583) q[5]; rx(1.1587) q[6]; rz(-0.004) q[6]; rx(0.8255) q[7]; rz(0.0461) q[7]; rx(0.0013) q[8]; rz(-0.8313) q[8]; rx(0.9883) q[9]; rz(-0.0075) q[9]; rx(1.5394) q[10]; rz(-0.0033) q[10]; rx(0.9008) q[11]; rz(0.0461) q[11]; rx(1.5746) q[12]; rz(-0.0027) q[12]; crx(0.2562) q[1], q[0]; crx(-0.1215) q[3], q[2]; crx(0.4032) q[5], q[4]; crx(-1.0169) q[7], q[6]; crx(-0.1096) q[9], q[8]; crx(0.2527) q[11], q[10]; rx(1.5144) q[0]; rz(0.0043) q[0]; rx(1.3014) q[1]; rz(0.0063) q[1]; rx(0.0219) q[2]; rz(0.003) q[2]; rx(1.2278) q[3]; rz(-0.0093) q[3]; rx(1.5792) q[4]; rz(0.0005) q[4]; rx(0.4661) q[5]; rz(-0.2461) q[5]; rx(1.1587) q[6]; rz(0.0072) q[6]; rx(0.7781) q[7]; rz(-0.6813) q[7]; rx(0.0092) q[8]; rz(0.003) q[8]; rx(1.3462) q[9]; rz(-0.0001) q[9]; rx(1.5434) q[10]; rz(0.0049) q[10]; rx(1.1059) q[11]; rz(-0.031) q[11]; rx(1.5783) q[12]; rz(0.0075) q[12]; crx(0.8386) q[2], q[1]; crx(0.5449) q[4], q[3]; crx(0.7745) q[6], q[5]; crx(0.1809) q[8], q[7]; crx(0.8035) q[10], q[9]; crx(1.1319) q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x7; input float[64] x8; input float[64] x9; bit[13] c; qubit[13] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; rx(x22) q[11]; rz(x15) q[11]; rx(x23) q[12]; rz(x24) q[12]; crx(x25) q[1], q[0]; crx(x26) q[3], q[2]; crx(x27) q[5], q[4]; crx(x28) q[7], q[6]; crx(x29) q[9], q[8]; crx(x30) q[11], q[10]; rx(x31) q[0]; rz(x32) q[0]; rx(x33) q[1]; rz(x34) q[1]; rx(x35) q[2]; rz(x36) q[2]; rx(x37) q[3]; rz(x38) q[3]; rx(x39) q[4]; rz(x40) q[4]; rx(x41) q[5]; rz(x42) q[5]; rx(x12) q[6]; rz(x43) q[6]; rx(x44) q[7]; rz(x45) q[7]; rx(x46) q[8]; rz(x36) q[8]; rx(x47) q[9]; rz(x48) q[9]; rx(x49) q[10]; rz(x50) q[10]; rx(x51) q[11]; rz(x52) q[11]; rx(x53) q[12]; rz(x54) q[12]; crx(x55) q[2], q[1]; crx(x56) q[4], q[3]; crx(x57) q[6], q[5]; crx(x58) q[8], q[7]; crx(x59) q[10], q[9]; crx(x60) q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
null
{"circuits": [], "gradients": []}
5144181ac27497fdfa9bdb5b8b799630
graph_isomorphism
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]}
{"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.85951900482178}
0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.25 * Z(1) + 1.25 * Z(2) + 1.25 * Z(0) + 1.25 * Z(5) + 1.0 * Z(4) + 1.25 * Z(3) + 1.25 * Z(8) + 1.25 * Z(7) + 1.25 * Z(6)
1
9
2
{"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; ry(1.5706) q[8]; ry(1.5706) q[1]; cry(1.5681) q[1], q[3]; cry(-1.0342) q[7], q[4]; cry(1.4138) q[1], q[5]; cry(1.067) q[8], q[7]; cry(-0.9143) q[5], q[4]; cry(-1.416) q[0], q[2]; cry(-1.3883) q[7], q[6]; ry(1.1904) q[0]; cry(-0.7082) q[5], q[2]; ry(0.3434) q[7]; cry(0.3167) q[1], q[0]; cry(-0.2345) q[0], q[6]; cry(-0.1299) q[8], q[2]; ry(0.1267) q[5]; cry(-0.0815) q[8], q[4]; cry(0.0396) q[0], q[7]; cry(0.052) q[5], q[0]; cry(-0.0232) q[3], q[2]; cry(-0.0078) q[3], q[4]; cry(0.0395) q[2], q[6]; cry(0.0389) q[4], q[6]; cry(0.0001) q[8], q[1]; cry(-0.0279) q[4], q[7]; cry(-0.0228) q[6], q[7]; cry(0.0002) q[3], q[8]; cry(0.0091) q[7], q[0]; cry(-0.0036) q[7], q[2]; cry(0.0001) q[1], q[7]; ry(0.0072) q[4]; cry(-0.001) q[5], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n"], "gradients": [1.2436, 1.2407, 0.9895, 0.2535, 0.4584, 0.4558, 0.7008, 0.4696, 0.443, 0.6521, 0.531, 0.4266, 0.2526, 0.1924, 0.1154, 0.1056, 0.0798, 0.0408, 0.0394, 0.0245, 0.0114, 0.01, 0.009, 0.0087, 0.0083, 0.0079, 0.0077, 0.0075, 0.0075, 0.0075, 0.0074, 0.0072, 0.0068, 0.0064, 0.0063, 0.0062, 0.0061, 0.006, 0.006, 0.0056, 0.0055, 0.0055, 0.0053, 0.0053, 0.0053, 0.0051, 0.005, 0.005, 0.0048, 0.0046, 0.0046, 0.0046, 0.0045, 0.0045, 0.0045, 0.0042, 0.0042, 0.0041, 0.0041, 0.0063, 0.004, 0.0039, 0.0037, 0.0037, 0.0037, 0.0037, 0.0035, 0.0038, 0.0035, 0.0034, 0.003]}
cf63e2458a0741acd2ef8c128602eb3a
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]}
{"states": [1786, 1722], "expectation_value": -3.0326230685247433, "params": [1.75, 0.0019, 2.7086, 0.0047, 0.48510000000000003, 0.0032, 2.7004, 0.0083, 1.5164, 0.0082, 2.697, 0.006500000000000001, 2.7004, 0.0079, 2.7085000000000004, 0.0058000000000000005, -0.0027, 0.0073, 2.7059, 0.0056, 0.1691, 0.009600000000000001, 0.0022, 0.0044, 0.004200000000000001, 0.0059, 0.0068000000000000005, 0.0022, 0.0056, 0.0092, 0.0023, 0.0011, 0.0028, 0.0055000000000000005, 0.0045000000000000005, 0.0044, 0.006500000000000001, 0.0092, 0.0019, 0.0035, 0.0039000000000000003, 0.0015, 0.0089, 0.009300000000000001], "bitstrings": ["00100000101", "00101000101"], "total_optimization_steps": 270, "probabilities": [0.19494783916363564, 0.21734703921169038], "optimization_time": 11.373018026351929}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(4)) + -0.0625 * (Z(0) @ Z(6) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(6) @ Z(3) @ Z(4)) + -0.0625 * (Z(6) @ Z(3) @ Z(5)) + -0.0625 * (Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(6) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(6) @ Z(3) @ Z(5)) + 0.0625 * (Z(0) @ Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(5) @ Z(6) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(1) @ Z(3) @ Z(7)) + -0.125 * (Z(1) @ Z(3) @ Z(8)) + -0.125 * (Z(1) @ Z(8) @ Z(7)) + -0.125 * (Z(7) @ Z(3) @ Z(8)) + 0.125 * (Z(1) @ Z(3) @ Z(8) @ Z(7)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(2) @ Z(4) @ Z(9)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(7) @ Z(10)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(7) @ Z(9) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(5)) + -0.125 * (Z(10) @ Z(9) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(9)) + 0.125 * (Z(7) @ Z(10) @ Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 0.1875 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.3125 * Z(3) + 0.1875 * Z(4) + 0.3125 * Z(5) + -0.0625 * Z(6) + 0.25 * Z(7) + -0.625 * Z(8) + 0.125 * Z(9) + -0.125 * Z(10)
16
11
1
{"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00101000101", "00100011100", "00100010110", "00100010101", "01000010110", "01001000101", "00110000101", "10000010110", "10000000111", "10100000101", "10001000101", "00100110100", "00100100101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; rx(1.75) q[0]; rz(0.0019) q[0]; rx(2.7086) q[1]; rz(0.0047) q[1]; rx(0.4851) q[2]; rz(0.0032) q[2]; rx(2.7004) q[3]; rz(0.0083) q[3]; rx(1.5164) q[4]; rz(0.0082) q[4]; rx(2.697) q[5]; rz(0.0065) q[5]; rx(2.7004) q[6]; rz(0.0079) q[6]; rx(2.7085) q[7]; rz(0.0058) q[7]; rx(-0.0027) q[8]; rz(0.0073) q[8]; rx(2.7059) q[9]; rz(0.0056) q[9]; rx(0.1691) q[10]; rz(0.0096) q[10]; crz(0.0022) q[1], q[0]; crz(0.0068) q[3], q[2]; crz(0.0023) q[5], q[4]; crz(0.0045) q[7], q[6]; crz(0.0019) q[9], q[8]; crz(0.0059) q[2], q[1]; crz(0.0092) q[4], q[3]; crz(0.0055) q[6], q[5]; crz(0.0092) q[8], q[7]; crz(0.0015) q[10], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x6) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[8]; rz(x16) q[8]; rx(x17) q[9]; rz(x18) q[9]; rx(x19) q[10]; rz(x20) q[10]; crz(x21) q[1], q[0]; crz(x22) q[3], q[2]; crz(x23) q[5], q[4]; crz(x24) q[7], q[6]; crz(x1) q[9], q[8]; crz(x25) q[2], q[1]; crz(x26) q[4], q[3]; crz(x27) q[6], q[5]; crz(x26) q[8], q[7]; crz(x28) q[10], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
null
{"circuits": [], "gradients": []}
0f435eed505f807fb8dc44643dfd43ce
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]}
{"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 14.7382652759552}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2)
1
5
1
{"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; ry(-1.5708) q[3]; ry(-1.4449) q[1]; ry(1.4449) q[2]; cry(-1.0398) q[0], q[4]; ry(0.6944) q[0]; ry(-0.451) q[4]; cry(0.4963) q[2], q[0]; cry(-0.3778) q[2], q[4]; cry(-0.1177) q[2], q[1]; cry(0.1069) q[0], q[2]; cry(-0.0722) q[4], q[0]; cry(0.0286) q[4], q[2]; cry(-0.008) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\ncry(-0.008) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\ncry(-0.008) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n"], "gradients": [1.5075, 0.5028, 0.5, 0.2527, 0.2435, 0.1872, 0.223, 0.188, 0.061, 0.0517, 0.0157, 0.0062, 0.0044, 0.0044, 0.003]}
e4f5057259aaeddd1dd7f4f1ea49da8b
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 6, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6}, {"capacity": 3, "source": 3, "target": 7}, {"capacity": 1, "source": 4, "target": 5}, {"capacity": 4, "source": 6, "target": 4}]}
{"states": [65, 1], "expectation_value": -1.8410192210227627, "params": [[0.0756], [-0.0834]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006933476326426773, 0.007157859159294722], "optimization_time": 1.9655706882476807}
-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6) + 0.75 * Z(1) + -0.5 * Z(2) + 3.5 * Z(7)
1
8
1
{"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[3], q[0]; rz(-0.189) q[0]; cx q[3], q[0]; cx q[0], q[4]; rz(-0.2268) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(-0.189) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(-0.0378) q[5]; cx q[4], q[5]; cx q[3], q[6]; rz(-0.0756) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.1512) q[6]; cx q[4], q[6]; cx q[6], q[1]; rz(-0.1134) q[1]; cx q[6], q[1]; cx q[3], q[2]; rz(-0.2268) q[2]; cx q[3], q[2]; cx q[4], q[2]; rz(-0.1512) q[2]; cx q[4], q[2]; cx q[3], q[7]; rz(-0.1134) q[7]; cx q[3], q[7]; cx q[0], q[7]; rz(0.6426) q[7]; cx q[0], q[7]; rz(0.2268) q[3]; rz(-0.0378) q[0]; rz(-0.4914) q[4]; rz(-0.2268) q[5]; rz(-0.0378) q[6]; rz(0.1134) q[1]; rz(-0.0756) q[2]; rz(0.5292) q[7]; h q[0]; rz(-0.1668) q[0]; h q[0]; h q[1]; rz(-0.1668) q[1]; h q[1]; h q[2]; rz(-0.1668) q[2]; h q[2]; h q[3]; rz(-0.1668) q[3]; h q[3]; h q[4]; rz(-0.1668) q[4]; h q[4]; h q[5]; rz(-0.1668) q[5]; h q[5]; h q[6]; rz(-0.1668) q[6]; h q[6]; h q[7]; rz(-0.1668) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[3], q[0]; rz(x0) q[0]; cx q[3], q[0]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(x2) q[5]; cx q[4], q[5]; cx q[3], q[6]; rz(x3) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x4) q[6]; cx q[4], q[6]; cx q[6], q[1]; rz(x5) q[1]; cx q[6], q[1]; cx q[3], q[2]; rz(x1) q[2]; cx q[3], q[2]; cx q[4], q[2]; rz(x4) q[2]; cx q[4], q[2]; cx q[3], q[7]; rz(x5) q[7]; cx q[3], q[7]; cx q[0], q[7]; rz(x6) q[7]; cx q[0], q[7]; rz(x7) q[3]; rz(x2) q[0]; rz(x8) q[4]; rz(x1) q[5]; rz(x2) q[6]; rz(x9) q[1]; rz(x3) q[2]; rz(x10) q[7]; h q[0]; rz(x11) q[0]; h q[0]; h q[1]; rz(x11) q[1]; h q[1]; h q[2]; rz(x11) q[2]; h q[2]; h q[3]; rz(x11) q[3]; h q[3]; h q[4]; rz(x11) q[4]; h q[4]; h q[5]; rz(x11) q[5]; h q[5]; h q[6]; rz(x11) q[6]; h q[6]; h q[7]; rz(x11) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
d7a525ce4c2e3aa682dbfbc5ee640032
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 5, "target": 4}]}
{"states": [70, 7], "expectation_value": -3.7565627774083437, "params": [[-0.0641], [0.0737]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011231961193491779, 0.0116390387911577], "optimization_time": 2.994119644165039}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.25 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.5 * (Z(6) @ Z(4)) + -3.5 * Z(1) + -3.5 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -2.75 * Z(4) + -2.75 * Z(6)
18
7
1
{"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(-0.2885) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.2885) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.2885) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(-0.2885) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.2885) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.2885) q[3]; cx q[2], q[3]; cx q[1], q[5]; rz(-0.3205) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.2885) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.3205) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.3205) q[5]; cx q[3], q[5]; cx q[1], q[4]; rz(-0.3205) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.3205) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.3205) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.3205) q[4]; cx q[3], q[4]; cx q[5], q[4]; rz(-0.2885) q[4]; cx q[5], q[4]; cx q[1], q[6]; rz(-0.2885) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.3205) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(-0.3205) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.3205) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(-0.3205) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(-0.3205) q[6]; cx q[4], q[6]; rz(0.4487) q[1]; rz(0.4487) q[0]; rz(0.4167) q[2]; rz(0.4167) q[3]; rz(0.3846) q[5]; rz(0.3526) q[4]; rz(0.3526) q[6]; h q[0]; rz(0.1474) q[0]; h q[0]; h q[1]; rz(0.1474) q[1]; h q[1]; h q[2]; rz(0.1474) q[2]; h q[2]; h q[3]; rz(0.1474) q[3]; h q[3]; h q[4]; rz(0.1474) q[4]; h q[4]; h q[5]; rz(0.1474) q[5]; h q[5]; h q[6]; rz(0.1474) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x1) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x1) q[4]; cx q[3], q[4]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x1) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x1) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x1) q[6]; cx q[4], q[6]; rz(x2) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x3) q[3]; rz(x4) q[5]; rz(x5) q[4]; rz(x5) q[6]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"k": 4}
{"circuits": [], "gradients": []}
edc3bac605c0e8fb4f027513dd92e8fb
kclique
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}]}
{"states": [0, 1], "expectation_value": -20.057732902513585, "params": [[[0.0022, 0.0078000000000000005], [-0.0028, 0.0098], [-0.0015, 0.0046], [0.0028, 0.0012000000000000001], [1.6093000000000002, 0.0014]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.48074635455785764, 0.5192478661371699], "optimization_time": 1.7782788276672363}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4)
1
5
1
{"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; rx(0.0022) q[0]; rz(0.0078) q[0]; rx(-0.0028) q[1]; rz(0.0098) q[1]; rx(-0.0015) q[2]; rz(0.0046) q[2]; rx(0.0028) q[3]; rz(0.0012) q[3]; rx(1.6093) q[4]; rz(0.0014) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[5] c; qubit[5] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"k": 4}
{"circuits": [], "gradients": []}
589a81c8fd04d28f25b3e8e25563f55c
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 2, "source": 4, "target": 6}, {"capacity": 3, "source": 5, "target": 2}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 2, "source": 6, "target": 7}]}
{"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 71.76290464401245}
0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5)
1
8
2
{"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; ry(1.5706) q[3]; cry(1.5706) q[3], q[5]; cry(1.4449) q[3], q[1]; cry(1.4433) q[1], q[4]; cry(1.4424) q[4], q[6]; ry(1.4449) q[2]; cry(-1.0342) q[3], q[0]; cry(1.4106) q[6], q[7]; cry(-0.5042) q[7], q[0]; cry(0.091) q[7], q[6]; ry(0.0929) q[4]; ry(0.0921) q[1]; cry(0.145) q[4], q[7]; cry(0.1188) q[3], q[2]; cry(-0.0333) q[5], q[0]; cry(0.0001) q[5], q[3]; cry(0.0002) q[7], q[5]; cry(0.0095) q[1], q[6]; cry(0.0001) q[4], q[1]; cry(-0.0001) q[7], q[1]; cry(-0.0001) q[5], q[6]; cry(-0.0019) q[6], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"source": 0, "sink": 7}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [1.2572, 1.2558, 0.5027, 0.5011, 0.5004, 0.5, 0.2518, 0.4609, 0.2561, 0.0842, 0.0866, 0.086, 0.0735, 0.0598, 0.0211, 0.0206, 0.018, 0.0177, 0.0175, 0.015, 0.015, 0.0149, 0.0145, 0.0125, 0.0125, 0.0119, 0.0119, 0.0099, 0.0099, 0.009, 0.0089, 0.0075, 0.0074, 0.0074, 0.0074, 0.0072, 0.0065, 0.0063, 0.0061, 0.006, 0.0059, 0.0055, 0.0053, 0.0051, 0.0049, 0.005, 0.0049, 0.0048, 0.0044, 0.0042, 0.0041, 0.004, 0.0039, 0.0037, 0.0037, 0.0036, 0.0036, 0.0035, 0.0033, 0.0032, 0.0031, 0.003, 0.003, 0.003, 0.003]}
8909333385727859306
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 6, 7, 8, 9], [0, 1, 2, 4, 5, 7, 8, 9], [8, 9, 3]]}
{"states": [435, 443], "expectation_value": -0.6380233537358214, "params": [1.5846, 0.1048, 1.4983, 0.0094, 1.5923, 0.0816, 1.2414, 0.0035, 1.5810000000000002, -0.3302, 0.8194, 0.0044, 0.457, 0.0036000000000000003, 0.2504, 0.0032, 1.5916000000000001, 0.07680000000000001, 1.2378, 0.0059, 1.582, 0.0772, 1.231, 0.0067, 1.5871000000000002, -0.41900000000000004, 0.8555, 0.009600000000000001, 1.3477000000000001, 0.25880000000000003, 0.9679000000000001, 0.0095, 1.2412, 0.041800000000000004, 1.381, 0.002, 1.038, 0.0351, 1.1935, 0.006200000000000001, 0.8137000000000001, 0.0077, -0.1315, -0.18030000000000002, 0.015000000000000001, 0.012100000000000001, -0.1563, -0.447, 0.1433, 0.24760000000000001], "bitstrings": ["1001001100", "1001000100"], "total_optimization_steps": 160, "probabilities": [0.13983849334659154, 0.25195739551489366], "optimization_time": 219.31784510612488}
0.03571428571428571 * (Z(0) @ Z(1)) + 0.03571428571428571 * (Z(4) @ Z(1)) + 0.03571428571428571 * (Z(4) @ Z(0)) + 0.03571428571428571 * (Z(5) @ Z(1)) + 0.03571428571428571 * (Z(5) @ Z(0)) + 0.03571428571428571 * (Z(5) @ Z(4)) + 0.017857142857142856 * (Z(6) @ Z(1)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857142857142856 * (Z(6) @ Z(4)) + 0.017857142857142856 * (Z(6) @ Z(5)) + 0.03571428571428571 * (Z(7) @ Z(1)) + 0.03571428571428571 * (Z(7) @ Z(0)) + 0.03571428571428571 * (Z(7) @ Z(4)) + 0.03571428571428571 * (Z(7) @ Z(5)) + 0.017857142857142856 * (Z(7) @ Z(6)) + 0.03571428571428571 * (Z(8) @ Z(1)) + 0.03571428571428571 * (Z(8) @ Z(0)) + 0.03571428571428571 * (Z(8) @ Z(4)) + 0.03571428571428571 * (Z(8) @ Z(5)) + 0.017857142857142856 * (Z(8) @ Z(6)) + 0.03571428571428571 * (Z(8) @ Z(7)) + 0.03571428571428571 * (Z(9) @ Z(1)) + 0.03571428571428571 * (Z(9) @ Z(0)) + 0.03571428571428571 * (Z(9) @ Z(4)) + 0.03571428571428571 * (Z(9) @ Z(5)) + 0.017857142857142856 * (Z(9) @ Z(6)) + 0.03571428571428571 * (Z(9) @ Z(7)) + 0.20238095238095238 * (Z(9) @ Z(8)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.017857142857142856 * (Z(2) @ Z(4)) + 0.017857142857142856 * (Z(2) @ Z(5)) + 0.017857142857142856 * (Z(2) @ Z(7)) + 0.017857142857142856 * (Z(2) @ Z(8)) + 0.017857142857142856 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.12499999999999994 * Z(1) + 0.12499999999999994 * Z(0) + 0.12499999999999994 * Z(4) + 0.12499999999999994 * Z(5) + 0.06249999999999997 * Z(6) + 0.12499999999999994 * Z(7) + 0.29166666666666663 * Z(8) + 0.29166666666666663 * Z(9) + 0.06249999999999997 * Z(2) + 0.16666666666666666 * Z(3)
6
10
1
{"smallest_eigenvalues": [-0.6904761904761905, -0.6904761904761905, -0.6904761904761905, -0.6904761904761905], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6904761904761904, "smallest_bitstrings": ["0001100100", "0001010100", "1001000100", "0101000100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; rx(1.5846) q[0]; rz(0.1048) q[0]; rx(1.5923) q[1]; rz(0.0816) q[1]; rx(1.581) q[2]; rz(-0.3302) q[2]; rx(0.457) q[3]; rz(0.0036) q[3]; rx(1.5916) q[4]; rz(0.0768) q[4]; rx(1.582) q[5]; rz(0.0772) q[5]; rx(1.5871) q[6]; rz(-0.419) q[6]; rx(1.3477) q[7]; rz(0.2588) q[7]; rx(1.2412) q[8]; rz(0.0418) q[8]; rx(1.038) q[9]; rz(0.0351) q[9]; crx(0.1433) q[9], q[8]; crx(-0.447) q[9], q[7]; crx(-0.1563) q[9], q[6]; crx(0.0121) q[9], q[5]; crx(0.015) q[9], q[4]; crx(-0.1803) q[9], q[3]; crx(-0.1315) q[9], q[2]; crx(0.0077) q[9], q[1]; crx(0.8137) q[9], q[0]; crx(0.2476) q[8], q[9]; crx(-0.447) q[8], q[7]; crx(-0.1563) q[8], q[6]; crx(0.0121) q[8], q[5]; crx(0.015) q[8], q[4]; crx(-0.1803) q[8], q[3]; crx(-0.1315) q[8], q[2]; crx(0.0077) q[8], q[1]; crx(0.8137) q[8], q[0]; crx(0.2476) q[7], q[9]; crx(0.1433) q[7], q[8]; crx(-0.1563) q[7], q[6]; crx(0.0121) q[7], q[5]; crx(0.015) q[7], q[4]; crx(-0.1803) q[7], q[3]; crx(-0.1315) q[7], q[2]; crx(0.0077) q[7], q[1]; crx(0.8137) q[7], q[0]; crx(0.2476) q[6], q[9]; crx(0.1433) q[6], q[8]; crx(-0.447) q[6], q[7]; crx(0.0121) q[6], q[5]; crx(0.015) q[6], q[4]; crx(-0.1803) q[6], q[3]; crx(-0.1315) q[6], q[2]; crx(0.0077) q[6], q[1]; crx(0.8137) q[6], q[0]; crx(0.2476) q[5], q[9]; crx(0.1433) q[5], q[8]; crx(-0.447) q[5], q[7]; crx(-0.1563) q[5], q[6]; crx(0.015) q[5], q[4]; crx(-0.1803) q[5], q[3]; crx(-0.1315) q[5], q[2]; crx(0.0077) q[5], q[1]; crx(0.8137) q[5], q[0]; crx(0.2476) q[4], q[9]; crx(0.1433) q[4], q[8]; crx(-0.447) q[4], q[7]; crx(-0.1563) q[4], q[6]; crx(0.0121) q[4], q[5]; crx(-0.1803) q[4], q[3]; crx(-0.1315) q[4], q[2]; crx(0.0077) q[4], q[1]; crx(0.8137) q[4], q[0]; crx(0.2476) q[3], q[9]; crx(0.1433) q[3], q[8]; crx(-0.447) q[3], q[7]; crx(-0.1563) q[3], q[6]; crx(0.0121) q[3], q[5]; crx(0.015) q[3], q[4]; crx(-0.1315) q[3], q[2]; crx(0.0077) q[3], q[1]; crx(0.8137) q[3], q[0]; crx(0.2476) q[2], q[9]; crx(0.1433) q[2], q[8]; crx(-0.447) q[2], q[7]; crx(-0.1563) q[2], q[6]; crx(0.0121) q[2], q[5]; crx(0.015) q[2], q[4]; crx(-0.1803) q[2], q[3]; crx(0.0077) q[2], q[1]; crx(0.8137) q[2], q[0]; crx(0.2476) q[1], q[9]; crx(0.1433) q[1], q[8]; crx(-0.447) q[1], q[7]; crx(-0.1563) q[1], q[6]; crx(0.0121) q[1], q[5]; crx(0.015) q[1], q[4]; crx(-0.1803) q[1], q[3]; crx(-0.1315) q[1], q[2]; crx(0.8137) q[1], q[0]; crx(0.2476) q[0], q[9]; crx(0.1433) q[0], q[8]; crx(-0.447) q[0], q[7]; crx(-0.1563) q[0], q[6]; crx(0.0121) q[0], q[5]; crx(0.015) q[0], q[4]; crx(-0.1803) q[0], q[3]; crx(-0.1315) q[0], q[2]; crx(0.0077) q[0], q[1]; rx(1.4983) q[0]; rz(0.0094) q[0]; rx(1.2414) q[1]; rz(0.0035) q[1]; rx(0.8194) q[2]; rz(0.0044) q[2]; rx(0.2504) q[3]; rz(0.0032) q[3]; rx(1.2378) q[4]; rz(0.0059) q[4]; rx(1.231) q[5]; rz(0.0067) q[5]; rx(0.8555) q[6]; rz(0.0096) q[6]; rx(0.9679) q[7]; rz(0.0095) q[7]; rx(1.381) q[8]; rz(0.002) q[8]; rx(1.1935) q[9]; rz(0.0062) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[9], q[7]; crx(x22) q[9], q[6]; crx(x23) q[9], q[5]; crx(x24) q[9], q[4]; crx(x25) q[9], q[3]; crx(x26) q[9], q[2]; crx(x27) q[9], q[1]; crx(x28) q[9], q[0]; crx(x29) q[8], q[9]; crx(x21) q[8], q[7]; crx(x22) q[8], q[6]; crx(x23) q[8], q[5]; crx(x24) q[8], q[4]; crx(x25) q[8], q[3]; crx(x26) q[8], q[2]; crx(x27) q[8], q[1]; crx(x28) q[8], q[0]; crx(x29) q[7], q[9]; crx(x20) q[7], q[8]; crx(x22) q[7], q[6]; crx(x23) q[7], q[5]; crx(x24) q[7], q[4]; crx(x25) q[7], q[3]; crx(x26) q[7], q[2]; crx(x27) q[7], q[1]; crx(x28) q[7], q[0]; crx(x29) q[6], q[9]; crx(x20) q[6], q[8]; crx(x21) q[6], q[7]; crx(x23) q[6], q[5]; crx(x24) q[6], q[4]; crx(x25) q[6], q[3]; crx(x26) q[6], q[2]; crx(x27) q[6], q[1]; crx(x28) q[6], q[0]; crx(x29) q[5], q[9]; crx(x20) q[5], q[8]; crx(x21) q[5], q[7]; crx(x22) q[5], q[6]; crx(x24) q[5], q[4]; crx(x25) q[5], q[3]; crx(x26) q[5], q[2]; crx(x27) q[5], q[1]; crx(x28) q[5], q[0]; crx(x29) q[4], q[9]; crx(x20) q[4], q[8]; crx(x21) q[4], q[7]; crx(x22) q[4], q[6]; crx(x23) q[4], q[5]; crx(x25) q[4], q[3]; crx(x26) q[4], q[2]; crx(x27) q[4], q[1]; crx(x28) q[4], q[0]; crx(x29) q[3], q[9]; crx(x20) q[3], q[8]; crx(x21) q[3], q[7]; crx(x22) q[3], q[6]; crx(x23) q[3], q[5]; crx(x24) q[3], q[4]; crx(x26) q[3], q[2]; crx(x27) q[3], q[1]; crx(x28) q[3], q[0]; crx(x29) q[2], q[9]; crx(x20) q[2], q[8]; crx(x21) q[2], q[7]; crx(x22) q[2], q[6]; crx(x23) q[2], q[5]; crx(x24) q[2], q[4]; crx(x25) q[2], q[3]; crx(x27) q[2], q[1]; crx(x28) q[2], q[0]; crx(x29) q[1], q[9]; crx(x20) q[1], q[8]; crx(x21) q[1], q[7]; crx(x22) q[1], q[6]; crx(x23) q[1], q[5]; crx(x24) q[1], q[4]; crx(x25) q[1], q[3]; crx(x26) q[1], q[2]; crx(x28) q[1], q[0]; crx(x29) q[0], q[9]; crx(x20) q[0], q[8]; crx(x21) q[0], q[7]; crx(x22) q[0], q[6]; crx(x23) q[0], q[5]; crx(x24) q[0], q[4]; crx(x25) q[0], q[3]; crx(x26) q[0], q[2]; crx(x27) q[0], q[1]; rx(x30) q[0]; rz(x31) q[0]; rx(x32) q[1]; rz(x33) q[1]; rx(x34) q[2]; rz(x35) q[2]; rx(x36) q[3]; rz(x37) q[3]; rx(x38) q[4]; rz(x39) q[4]; rx(x40) q[5]; rz(x41) q[5]; rx(x42) q[6]; rz(x43) q[6]; rx(x44) q[7]; rz(x45) q[7]; rx(x46) q[8]; rz(x47) q[8]; rx(x48) q[9]; rz(x49) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
2cf6224a7b786ab8607e7cc5dbc62158
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 4, "source": 5, "target": 6}]}
{"states": [3, 43], "expectation_value": -1.2779050371189813, "params": [[0.0669, 0.0517, 0.0251, -0.0683], [-0.0775, -0.053500000000000006, -0.047400000000000005, -0.0002]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.01777559705491717, 0.018935565994404126], "optimization_time": 4.100560665130615}
-1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5)
1
7
4
{"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(-0.1338) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(-0.1003) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(-0.0335) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(-0.1673) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(0.2676) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.0669) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(-0.1338) q[5]; cx q[6], q[5]; rz(-0.1003) q[2]; rz(-0.0335) q[0]; rz(-0.1003) q[4]; rz(0.0669) q[3]; rz(-0.0335) q[1]; rz(0.0669) q[6]; rz(0.1338) q[5]; h q[0]; rz(-0.155) q[0]; h q[0]; h q[1]; rz(-0.155) q[1]; h q[1]; h q[2]; rz(-0.155) q[2]; h q[2]; h q[3]; rz(-0.155) q[3]; h q[3]; h q[4]; rz(-0.155) q[4]; h q[4]; h q[5]; rz(-0.155) q[5]; h q[5]; h q[6]; rz(-0.155) q[6]; h q[6]; cx q[2], q[0]; rz(-0.1034) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(-0.0776) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(-0.0259) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(-0.1293) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(0.2068) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.0517) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(-0.1034) q[5]; cx q[6], q[5]; rz(-0.0776) q[2]; rz(-0.0259) q[0]; rz(-0.0776) q[4]; rz(0.0517) q[3]; rz(-0.0259) q[1]; rz(0.0517) q[6]; rz(0.1034) q[5]; h q[0]; rz(-0.107) q[0]; h q[0]; h q[1]; rz(-0.107) q[1]; h q[1]; h q[2]; rz(-0.107) q[2]; h q[2]; h q[3]; rz(-0.107) q[3]; h q[3]; h q[4]; rz(-0.107) q[4]; h q[4]; h q[5]; rz(-0.107) q[5]; h q[5]; h q[6]; rz(-0.107) q[6]; h q[6]; cx q[2], q[0]; rz(-0.0502) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(-0.0377) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(-0.0126) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(-0.0628) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(0.1004) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.0251) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(-0.0502) q[5]; cx q[6], q[5]; rz(-0.0377) q[2]; rz(-0.0126) q[0]; rz(-0.0377) q[4]; rz(0.0251) q[3]; rz(-0.0126) q[1]; rz(0.0251) q[6]; rz(0.0502) q[5]; h q[0]; rz(-0.0948) q[0]; h q[0]; h q[1]; rz(-0.0948) q[1]; h q[1]; h q[2]; rz(-0.0948) q[2]; h q[2]; h q[3]; rz(-0.0948) q[3]; h q[3]; h q[4]; rz(-0.0948) q[4]; h q[4]; h q[5]; rz(-0.0948) q[5]; h q[5]; h q[6]; rz(-0.0948) q[6]; h q[6]; cx q[2], q[0]; rz(0.1366) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(0.1024) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(0.0341) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(0.1708) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(-0.2732) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(0.0683) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(0.1366) q[5]; cx q[6], q[5]; rz(0.1024) q[2]; rz(0.0341) q[0]; rz(0.1024) q[4]; rz(-0.0683) q[3]; rz(0.0341) q[1]; rz(-0.0683) q[6]; rz(-0.1366) q[5]; h q[0]; rz(-0.0004) q[0]; h q[0]; h q[1]; rz(-0.0004) q[1]; h q[1]; h q[2]; rz(-0.0004) q[2]; h q[2]; h q[3]; rz(-0.0004) q[3]; h q[3]; h q[4]; rz(-0.0004) q[4]; h q[4]; h q[5]; rz(-0.0004) q[5]; h q[5]; h q[6]; rz(-0.0004) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x2) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x3) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x4) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x5) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; rz(x1) q[2]; rz(x2) q[0]; rz(x1) q[4]; rz(x6) q[3]; rz(x2) q[1]; rz(x6) q[6]; rz(x7) q[5]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; cx q[2], q[0]; rz(x9) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x10) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x11) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x12) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x13) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x14) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x9) q[5]; cx q[6], q[5]; rz(x10) q[2]; rz(x11) q[0]; rz(x10) q[4]; rz(x15) q[3]; rz(x11) q[1]; rz(x15) q[6]; rz(x16) q[5]; h q[0]; rz(x17) q[0]; h q[0]; h q[1]; rz(x17) q[1]; h q[1]; h q[2]; rz(x17) q[2]; h q[2]; h q[3]; rz(x17) q[3]; h q[3]; h q[4]; rz(x17) q[4]; h q[4]; h q[5]; rz(x17) q[5]; h q[5]; h q[6]; rz(x17) q[6]; h q[6]; cx q[2], q[0]; rz(x18) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x19) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x20) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x21) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x22) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x23) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x18) q[5]; cx q[6], q[5]; rz(x19) q[2]; rz(x20) q[0]; rz(x19) q[4]; rz(x24) q[3]; rz(x20) q[1]; rz(x24) q[6]; rz(x25) q[5]; h q[0]; rz(x26) q[0]; h q[0]; h q[1]; rz(x26) q[1]; h q[1]; h q[2]; rz(x26) q[2]; h q[2]; h q[3]; rz(x26) q[3]; h q[3]; h q[4]; rz(x26) q[4]; h q[4]; h q[5]; rz(x26) q[5]; h q[5]; h q[6]; rz(x26) q[6]; h q[6]; cx q[2], q[0]; rz(x27) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x28) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x29) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x30) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x31) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x32) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x27) q[5]; cx q[6], q[5]; rz(x28) q[2]; rz(x29) q[0]; rz(x28) q[4]; rz(x33) q[3]; rz(x29) q[1]; rz(x33) q[6]; rz(x34) q[5]; h q[0]; rz(x35) q[0]; h q[0]; h q[1]; rz(x35) q[1]; h q[1]; h q[2]; rz(x35) q[2]; h q[2]; h q[3]; rz(x35) q[3]; h q[3]; h q[4]; rz(x35) q[4]; h q[4]; h q[5]; rz(x35) q[5]; h q[5]; h q[6]; rz(x35) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
b80d831cd9b07b1f2aaf1d64249cf046
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 4, "target": 6}]}
{"states": [74, 106], "expectation_value": -2.3768189729459364, "params": [[[-0.0165, 0.019200000000000002], [0.6082000000000001, 0.0024000000000000002], [0.6065, 0.015000000000000001], [0.09670000000000001, 0.036500000000000005], [0.6099, 0.1963], [0.3674, 0.2111], [-0.1537, 0.5798], [0.53, 0.6082000000000001]], [[0.5903, 0.060200000000000004], [0.6076, -0.0022], [0.6062000000000001, 0.0122], [0.2449, -0.035500000000000004], [0.6044, 0.27490000000000003], [0.19970000000000002, 0.43670000000000003], [-0.0244, 0.42610000000000003], [0.5315, -0.5269]], [[-0.5392, -0.0091], [0.6101, 0.014], [0.5997, -0.029400000000000003], [-0.30410000000000004, 0.1585], [0.6093000000000001, 0.5949], [0.3539, 0.317], [0.3655, 0.6064], [0.0425, -0.5782]]], "bitstrings": ["10110101", "10010101"], "total_optimization_steps": 60, "probabilities": [0.1268115711738014, 0.20843698718359369], "optimization_time": 10.459664106369019}
0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(1)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(2)) + -0.0625 * (Z(0) @ Z(4) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(4) @ Z(1) @ Z(2)) + -0.0625 * (Z(4) @ Z(1) @ Z(3)) + -0.0625 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -0.5625 * Z(0) + 0.1875 * Z(1) + -0.0625 * Z(2) + -0.5625 * Z(3) + -0.0625 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6) + -0.5 * Z(7)
15
8
3
{"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; ry(-0.0165) q[0]; ry(0.6082) q[1]; ry(0.6065) q[2]; ry(0.0967) q[3]; ry(0.6099) q[4]; ry(0.3674) q[5]; ry(-0.1537) q[6]; ry(0.53) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.0192) q[0]; ry(0.0024) q[1]; ry(0.015) q[2]; ry(0.0365) q[3]; ry(0.1963) q[4]; ry(0.2111) q[5]; ry(0.5798) q[6]; ry(0.6082) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; ry(0.5903) q[0]; ry(0.6076) q[1]; ry(0.6062) q[2]; ry(0.2449) q[3]; ry(0.6044) q[4]; ry(0.1997) q[5]; ry(-0.0244) q[6]; ry(0.5315) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.0602) q[0]; ry(-0.0022) q[1]; ry(0.0122) q[2]; ry(-0.0355) q[3]; ry(0.2749) q[4]; ry(0.4367) q[5]; ry(0.4261) q[6]; ry(-0.5269) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; ry(-0.5392) q[0]; ry(0.6101) q[1]; ry(0.5997) q[2]; ry(-0.3041) q[3]; ry(0.6093) q[4]; ry(0.3539) q[5]; ry(0.3655) q[6]; ry(0.0425) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.0091) q[0]; ry(0.014) q[1]; ry(-0.0294) q[2]; ry(0.1585) q[3]; ry(0.5949) q[4]; ry(0.317) q[5]; ry(0.6064) q[6]; ry(-0.5782) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x8) q[0]; ry(x9) q[1]; ry(x10) q[2]; ry(x11) q[3]; ry(x12) q[4]; ry(x13) q[5]; ry(x14) q[6]; ry(x1) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; ry(x15) q[0]; ry(x16) q[1]; ry(x17) q[2]; ry(x18) q[3]; ry(x19) q[4]; ry(x20) q[5]; ry(x21) q[6]; ry(x22) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x23) q[0]; ry(x24) q[1]; ry(x25) q[2]; ry(x26) q[3]; ry(x27) q[4]; ry(x28) q[5]; ry(x29) q[6]; ry(x30) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; ry(x31) q[0]; ry(x32) q[1]; ry(x33) q[2]; ry(x34) q[3]; ry(x35) q[4]; ry(x36) q[5]; ry(x37) q[6]; ry(x38) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x39) q[0]; ry(x40) q[1]; ry(x41) q[2]; ry(x42) q[3]; ry(x43) q[4]; ry(x44) q[5]; ry(x45) q[6]; ry(x46) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
5469aa9cf7b0e564781bf3502161421e
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 5, "target": 8}, {"source": 6, "target": 9}, {"source": 7, "target": 8}, {"source": 7, "target": 9}]}
{"states": [511, 255], "expectation_value": -0.7787330123260148, "params": [[-0.0616], [0.0661]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002782311670772738, 0.0028278287410664943], "optimization_time": 2.2647321224212646}
-1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(8) + -0.5 * Z(0)
1
9
1
{"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[2], q[1]; rz(0.1848) q[1]; cx q[2], q[1]; cx q[2], q[3]; rz(0.1848) q[3]; cx q[2], q[3]; cx q[1], q[3]; rz(-0.0616) q[3]; cx q[1], q[3]; cx q[6], q[4]; rz(0.2464) q[4]; cx q[6], q[4]; cx q[6], q[7]; rz(0.2464) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(0.1848) q[7]; cx q[4], q[7]; cx q[6], q[5]; rz(-0.0616) q[5]; cx q[6], q[5]; cx q[6], q[8]; rz(0.308) q[8]; cx q[6], q[8]; cx q[4], q[8]; rz(-0.0616) q[8]; cx q[4], q[8]; cx q[7], q[8]; rz(-0.0616) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(0.1848) q[8]; cx q[5], q[8]; rz(-0.0616) q[2]; rz(-0.0616) q[1]; rz(-0.0616) q[3]; rz(-0.0616) q[6]; rz(-0.0616) q[4]; rz(-0.0616) q[7]; rz(-0.0616) q[5]; rz(-0.0616) q[8]; rz(0.0616) q[0]; h q[0]; rz(0.1322) q[0]; h q[0]; h q[1]; rz(0.1322) q[1]; h q[1]; h q[2]; rz(0.1322) q[2]; h q[2]; h q[3]; rz(0.1322) q[3]; h q[3]; h q[4]; rz(0.1322) q[4]; h q[4]; h q[5]; rz(0.1322) q[5]; h q[5]; h q[6]; rz(0.1322) q[6]; h q[6]; h q[7]; rz(0.1322) q[7]; h q[7]; h q[8]; rz(0.1322) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[3]; rz(x1) q[3]; cx q[1], q[3]; cx q[6], q[4]; rz(x2) q[4]; cx q[6], q[4]; cx q[6], q[7]; rz(x2) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[6], q[5]; rz(x1) q[5]; cx q[6], q[5]; cx q[6], q[8]; rz(x3) q[8]; cx q[6], q[8]; cx q[4], q[8]; rz(x1) q[8]; cx q[4], q[8]; cx q[7], q[8]; rz(x1) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(x0) q[8]; cx q[5], q[8]; rz(x1) q[2]; rz(x1) q[1]; rz(x1) q[3]; rz(x1) q[6]; rz(x1) q[4]; rz(x1) q[7]; rz(x1) q[5]; rz(x1) q[8]; rz(x4) q[0]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; h q[7]; rz(x5) q[7]; h q[7]; h q[8]; rz(x5) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 0}
{"circuits": [], "gradients": []}
c451d9585216e3f1c5bc89acfa5b77d8
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}], "edges": [{"weight": 10, "source": 0, "target": 8}, {"weight": 18, "source": 0, "target": 10}, {"weight": 5, "source": 1, "target": 9}, {"weight": 13, "source": 1, "target": 11}, {"weight": 2, "source": 2, "target": 10}, {"weight": 8, "source": 3, "target": 11}, {"weight": 14, "source": 5, "target": 11}, {"weight": 18, "source": 6, "target": 9}, {"weight": 14, "source": 6, "target": 8}]}
{"states": [325, 327], "expectation_value": -60.4325017338025, "params": [[[0.012100000000000001, 0.0151], [0.1437, 0.07880000000000001], [0.7911, 0.34940000000000004], [-0.058800000000000005, 0.40140000000000003], [0.1178, -0.0373], [0.0974, 0.016300000000000002], [0.33240000000000003, 0.3628], [0.5801000000000001, 0.7867000000000001], [0.5231, 0.3924]], [[0.795, 0.2378], [-0.027100000000000003, 0.2142], [0.7514000000000001, 0.3259], [0.0086, 0.3635], [-0.017, 0.0078000000000000005], [-0.031400000000000004, 0.0427], [0.0721, 0.45790000000000003], [-0.11080000000000001, 0.34690000000000004], [0.3614, -0.4086]], [[0.3189, -0.0013000000000000002], [-0.0128, -0.1213], [0.7219, 0.19140000000000001], [0.0001, 0.2697], [0.0236, 0.0446], [-0.0855, 0.033600000000000005], [0.3049, 0.6515000000000001], [0.4273, 0.35900000000000004], [0.7941, 0.7977000000000001]], [[-0.09380000000000001, -0.0017000000000000001], [0.1825, 0.039], [0.773, 0.0016], [0.0999, 0.049100000000000005], [-0.1301, -0.0086], [-0.050100000000000006, 0.0115], [0.786, 0.5109], [0.38070000000000004, 0.5472], [0.7894, -0.21000000000000002]]], "bitstrings": ["010111010", "010111000"], "total_optimization_steps": 80, "probabilities": [0.2168744749605907, 0.4793689862293332], "optimization_time": 63.07617807388306}
6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8)
15
9
4
{"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; ry(0.0121) q[0]; ry(0.1437) q[1]; ry(0.7911) q[2]; ry(-0.0588) q[3]; ry(0.1178) q[4]; ry(0.0974) q[5]; ry(0.3324) q[6]; ry(0.5801) q[7]; ry(0.5231) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.0151) q[0]; ry(0.0788) q[1]; ry(0.3494) q[2]; ry(0.4014) q[3]; ry(-0.0373) q[4]; ry(0.0163) q[5]; ry(0.3628) q[6]; ry(0.7867) q[7]; ry(0.3924) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(0.795) q[0]; ry(-0.0271) q[1]; ry(0.7514) q[2]; ry(0.0086) q[3]; ry(-0.017) q[4]; ry(-0.0314) q[5]; ry(0.0721) q[6]; ry(-0.1108) q[7]; ry(0.3614) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.2378) q[0]; ry(0.2142) q[1]; ry(0.3259) q[2]; ry(0.3635) q[3]; ry(0.0078) q[4]; ry(0.0427) q[5]; ry(0.4579) q[6]; ry(0.3469) q[7]; ry(-0.4086) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(0.3189) q[0]; ry(-0.0128) q[1]; ry(0.7219) q[2]; ry(0.0001) q[3]; ry(0.0236) q[4]; ry(-0.0855) q[5]; ry(0.3049) q[6]; ry(0.4273) q[7]; ry(0.7941) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.0013) q[0]; ry(-0.1213) q[1]; ry(0.1914) q[2]; ry(0.2697) q[3]; ry(0.0446) q[4]; ry(0.0336) q[5]; ry(0.6515) q[6]; ry(0.359) q[7]; ry(0.7977) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(-0.0938) q[0]; ry(0.1825) q[1]; ry(0.773) q[2]; ry(0.0999) q[3]; ry(-0.1301) q[4]; ry(-0.0501) q[5]; ry(0.786) q[6]; ry(0.3807) q[7]; ry(0.7894) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.0017) q[0]; ry(0.039) q[1]; ry(0.0016) q[2]; ry(0.0491) q[3]; ry(-0.0086) q[4]; ry(0.0115) q[5]; ry(0.5109) q[6]; ry(0.5472) q[7]; ry(-0.21) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x9) q[0]; ry(x10) q[1]; ry(x11) q[2]; ry(x12) q[3]; ry(x13) q[4]; ry(x14) q[5]; ry(x15) q[6]; ry(x16) q[7]; ry(x17) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(x18) q[0]; ry(x19) q[1]; ry(x20) q[2]; ry(x21) q[3]; ry(x22) q[4]; ry(x23) q[5]; ry(x24) q[6]; ry(x25) q[7]; ry(x26) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x27) q[0]; ry(x28) q[1]; ry(x29) q[2]; ry(x30) q[3]; ry(x31) q[4]; ry(x32) q[5]; ry(x33) q[6]; ry(x34) q[7]; ry(x35) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(x36) q[0]; ry(x37) q[1]; ry(x38) q[2]; ry(x39) q[3]; ry(x40) q[4]; ry(x41) q[5]; ry(x42) q[6]; ry(x43) q[7]; ry(x44) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x45) q[0]; ry(x46) q[1]; ry(x47) q[2]; ry(x48) q[3]; ry(x49) q[4]; ry(x50) q[5]; ry(x51) q[6]; ry(x52) q[7]; ry(x53) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(x54) q[0]; ry(x55) q[1]; ry(x56) q[2]; ry(x57) q[3]; ry(x58) q[4]; ry(x59) q[5]; ry(x60) q[6]; ry(x61) q[7]; ry(x62) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x63) q[0]; ry(x64) q[1]; ry(x65) q[2]; ry(x66) q[3]; ry(x67) q[4]; ry(x68) q[5]; ry(x69) q[6]; ry(x70) q[7]; ry(x71) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"}
{"circuits": [], "gradients": []}
c483323d9047b8cd40645dba921c7cdf
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"source": 7, "target": 8}]}
{"states": [0, 31], "expectation_value": -12.910103032986711, "params": [0.0033, 2.309, 0.0032, 0.0009000000000000001, 0.39830000000000004, 0.8457, -0.7911, 0.0068000000000000005, 0.0017000000000000001, 2.0901, -0.0016, 0.0089, -1.0959, 0.8844000000000001, 0.11320000000000001, 0.0071, -1.0768, 0.3007, 0.5733, 0.0049, -0.9141, 0.2599, 0.0927, 0.0078000000000000005, -0.7603000000000001, 0.15960000000000002, -0.1638, 0.006500000000000001, 0.5196000000000001, 3.2767, -0.0862, 0.0016, -0.0033, -3.33, -0.0017000000000000001, 1.9421000000000002, 1.2105000000000001, 1.4631, 1.6202, 1.5897000000000001], "bitstrings": ["11111111", "11100000"], "total_optimization_steps": 460, "probabilities": [0.2957368327966733, 0.3121763214877301], "optimization_time": 63.984785079956055}
-2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7)
6
8
1
{"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(0.0033) q[0]; rz(2.309) q[0]; rx(0.3983) q[1]; rz(0.8457) q[1]; rx(0.0017) q[2]; rz(2.0901) q[2]; rx(-1.0959) q[3]; rz(0.8844) q[3]; rx(-1.0768) q[4]; rz(0.3007) q[4]; rx(-0.9141) q[5]; rz(0.2599) q[5]; rx(-0.7603) q[6]; rz(0.1596) q[6]; rx(0.5196) q[7]; rz(3.2767) q[7]; crx(1.6202) q[7], q[6]; crx(1.4631) q[7], q[5]; crx(1.2105) q[7], q[4]; crx(1.9421) q[7], q[3]; crx(-0.0017) q[7], q[2]; crx(-3.33) q[7], q[1]; crx(-0.0033) q[7], q[0]; crx(1.5897) q[6], q[7]; crx(1.4631) q[6], q[5]; crx(1.2105) q[6], q[4]; crx(1.9421) q[6], q[3]; crx(-0.0017) q[6], q[2]; crx(-3.33) q[6], q[1]; crx(-0.0033) q[6], q[0]; crx(1.5897) q[5], q[7]; crx(1.6202) q[5], q[6]; crx(1.2105) q[5], q[4]; crx(1.9421) q[5], q[3]; crx(-0.0017) q[5], q[2]; crx(-3.33) q[5], q[1]; crx(-0.0033) q[5], q[0]; crx(1.5897) q[4], q[7]; crx(1.6202) q[4], q[6]; crx(1.4631) q[4], q[5]; crx(1.9421) q[4], q[3]; crx(-0.0017) q[4], q[2]; crx(-3.33) q[4], q[1]; crx(-0.0033) q[4], q[0]; crx(1.5897) q[3], q[7]; crx(1.6202) q[3], q[6]; crx(1.4631) q[3], q[5]; crx(1.2105) q[3], q[4]; crx(-0.0017) q[3], q[2]; crx(-3.33) q[3], q[1]; crx(-0.0033) q[3], q[0]; crx(1.5897) q[2], q[7]; crx(1.6202) q[2], q[6]; crx(1.4631) q[2], q[5]; crx(1.2105) q[2], q[4]; crx(1.9421) q[2], q[3]; crx(-3.33) q[2], q[1]; crx(-0.0033) q[2], q[0]; crx(1.5897) q[1], q[7]; crx(1.6202) q[1], q[6]; crx(1.4631) q[1], q[5]; crx(1.2105) q[1], q[4]; crx(1.9421) q[1], q[3]; crx(-0.0017) q[1], q[2]; crx(-0.0033) q[1], q[0]; crx(1.5897) q[0], q[7]; crx(1.6202) q[0], q[6]; crx(1.4631) q[0], q[5]; crx(1.2105) q[0], q[4]; crx(1.9421) q[0], q[3]; crx(-0.0017) q[0], q[2]; crx(-3.33) q[0], q[1]; rx(0.0032) q[0]; rz(0.0009) q[0]; rx(-0.7911) q[1]; rz(0.0068) q[1]; rx(-0.0016) q[2]; rz(0.0089) q[2]; rx(0.1132) q[3]; rz(0.0071) q[3]; rx(0.5733) q[4]; rz(0.0049) q[4]; rx(0.0927) q[5]; rz(0.0078) q[5]; rx(-0.1638) q[6]; rz(0.0065) q[6]; rx(-0.0862) q[7]; rz(0.0016) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crx(x16) q[7], q[6]; crx(x17) q[7], q[5]; crx(x18) q[7], q[4]; crx(x19) q[7], q[3]; crx(x20) q[7], q[2]; crx(x21) q[7], q[1]; crx(x22) q[7], q[0]; crx(x23) q[6], q[7]; crx(x17) q[6], q[5]; crx(x18) q[6], q[4]; crx(x19) q[6], q[3]; crx(x20) q[6], q[2]; crx(x21) q[6], q[1]; crx(x22) q[6], q[0]; crx(x23) q[5], q[7]; crx(x16) q[5], q[6]; crx(x18) q[5], q[4]; crx(x19) q[5], q[3]; crx(x20) q[5], q[2]; crx(x21) q[5], q[1]; crx(x22) q[5], q[0]; crx(x23) q[4], q[7]; crx(x16) q[4], q[6]; crx(x17) q[4], q[5]; crx(x19) q[4], q[3]; crx(x20) q[4], q[2]; crx(x21) q[4], q[1]; crx(x22) q[4], q[0]; crx(x23) q[3], q[7]; crx(x16) q[3], q[6]; crx(x17) q[3], q[5]; crx(x18) q[3], q[4]; crx(x20) q[3], q[2]; crx(x21) q[3], q[1]; crx(x22) q[3], q[0]; crx(x23) q[2], q[7]; crx(x16) q[2], q[6]; crx(x17) q[2], q[5]; crx(x18) q[2], q[4]; crx(x19) q[2], q[3]; crx(x21) q[2], q[1]; crx(x22) q[2], q[0]; crx(x23) q[1], q[7]; crx(x16) q[1], q[6]; crx(x17) q[1], q[5]; crx(x18) q[1], q[4]; crx(x19) q[1], q[3]; crx(x20) q[1], q[2]; crx(x22) q[1], q[0]; crx(x23) q[0], q[7]; crx(x16) q[0], q[6]; crx(x17) q[0], q[5]; crx(x18) q[0], q[4]; crx(x19) q[0], q[3]; crx(x20) q[0], q[2]; crx(x21) q[0], q[1]; rx(x24) q[0]; rz(x25) q[0]; rx(x26) q[1]; rz(x27) q[1]; rx(x28) q[2]; rz(x29) q[2]; rx(x30) q[3]; rz(x31) q[3]; rx(x32) q[4]; rz(x33) q[4]; rx(x34) q[5]; rz(x35) q[5]; rx(x36) q[6]; rz(x37) q[6]; rx(x38) q[7]; rz(x39) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"node": 3}
{"circuits": [], "gradients": []}
bf001351f2bf5e55c043b36bf1cfc0ff
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 6, "source": 4, "target": 5}, {"weight": 13, "source": 4, "target": 6}, {"weight": 12, "source": 5, "target": 6}]}
{"states": [243, 115], "expectation_value": -54.42491950919529, "params": [[0.0184, 0.0224, 0.060000000000000005, 0.09620000000000001], [-0.441, -0.40490000000000004, -0.3413, -0.2199]], "bitstrings": ["00001100", "10001100"], "total_optimization_steps": 50, "probabilities": [0.1742876222208188, 0.23459532335040523], "optimization_time": 10.533221960067749}
4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 8.5 * Z(0) + 21.0 * Z(2) + 17.5 * Z(3) + -3.5 * Z(4) + 7.0 * Z(5) + 14.5 * Z(6) + 10.0 * Z(7)
1
8
4
{"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(0.1472) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.1472) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1472) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.1472) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.1472) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.1472) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.1472) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(0.1472) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(0.1472) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.1472) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.1472) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(0.1472) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(0.1472) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.1472) q[7]; cx q[6], q[7]; rz(0.4968) q[1]; rz(0.3128) q[0]; rz(0.7728) q[2]; rz(0.644) q[3]; rz(-0.1288) q[4]; rz(0.2576) q[5]; rz(0.5336) q[6]; rz(0.368) q[7]; h q[0]; rz(-0.882) q[0]; h q[0]; h q[1]; rz(-0.882) q[1]; h q[1]; h q[2]; rz(-0.882) q[2]; h q[2]; h q[3]; rz(-0.882) q[3]; h q[3]; h q[4]; rz(-0.882) q[4]; h q[4]; h q[5]; rz(-0.882) q[5]; h q[5]; h q[6]; rz(-0.882) q[6]; h q[6]; h q[7]; rz(-0.882) q[7]; h q[7]; cx q[1], q[0]; rz(0.1792) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.1792) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1792) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.1792) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.1792) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.1792) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.1792) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(0.1792) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(0.1792) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.1792) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.1792) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(0.1792) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(0.1792) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.1792) q[7]; cx q[6], q[7]; rz(0.6048) q[1]; rz(0.3808) q[0]; rz(0.9408) q[2]; rz(0.784) q[3]; rz(-0.1568) q[4]; rz(0.3136) q[5]; rz(0.6496) q[6]; rz(0.448) q[7]; h q[0]; rz(-0.8098) q[0]; h q[0]; h q[1]; rz(-0.8098) q[1]; h q[1]; h q[2]; rz(-0.8098) q[2]; h q[2]; h q[3]; rz(-0.8098) q[3]; h q[3]; h q[4]; rz(-0.8098) q[4]; h q[4]; h q[5]; rz(-0.8098) q[5]; h q[5]; h q[6]; rz(-0.8098) q[6]; h q[6]; h q[7]; rz(-0.8098) q[7]; h q[7]; cx q[1], q[0]; rz(0.48) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.48) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.48) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.48) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.48) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.48) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.48) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(0.48) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(0.48) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.48) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.48) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(0.48) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(0.48) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.48) q[7]; cx q[6], q[7]; rz(1.62) q[1]; rz(1.02) q[0]; rz(2.52) q[2]; rz(2.1) q[3]; rz(-0.42) q[4]; rz(0.84) q[5]; rz(1.74) q[6]; rz(1.2) q[7]; h q[0]; rz(-0.6826) q[0]; h q[0]; h q[1]; rz(-0.6826) q[1]; h q[1]; h q[2]; rz(-0.6826) q[2]; h q[2]; h q[3]; rz(-0.6826) q[3]; h q[3]; h q[4]; rz(-0.6826) q[4]; h q[4]; h q[5]; rz(-0.6826) q[5]; h q[5]; h q[6]; rz(-0.6826) q[6]; h q[6]; h q[7]; rz(-0.6826) q[7]; h q[7]; cx q[1], q[0]; rz(0.7696) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.7696) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.7696) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.7696) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.7696) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.7696) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.7696) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(0.7696) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(0.7696) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.7696) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.7696) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(0.7696) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(0.7696) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.7696) q[7]; cx q[6], q[7]; rz(2.5974) q[1]; rz(1.6354) q[0]; rz(4.0404) q[2]; rz(3.367) q[3]; rz(-0.6734) q[4]; rz(1.3468) q[5]; rz(2.7898) q[6]; rz(1.924) q[7]; h q[0]; rz(-0.4398) q[0]; h q[0]; h q[1]; rz(-0.4398) q[1]; h q[1]; h q[2]; rz(-0.4398) q[2]; h q[2]; h q[3]; rz(-0.4398) q[3]; h q[3]; h q[4]; rz(-0.4398) q[4]; h q[4]; h q[5]; rz(-0.4398) q[5]; h q[5]; h q[6]; rz(-0.4398) q[6]; h q[6]; h q[7]; rz(-0.4398) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x10) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x10) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x10) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x10) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x10) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x10) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x10) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x10) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x10) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x10) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x10) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x10) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x10) q[7]; cx q[6], q[7]; rz(x11) q[1]; rz(x12) q[0]; rz(x13) q[2]; rz(x14) q[3]; rz(x15) q[4]; rz(x16) q[5]; rz(x17) q[6]; rz(x18) q[7]; h q[0]; rz(x19) q[0]; h q[0]; h q[1]; rz(x19) q[1]; h q[1]; h q[2]; rz(x19) q[2]; h q[2]; h q[3]; rz(x19) q[3]; h q[3]; h q[4]; rz(x19) q[4]; h q[4]; h q[5]; rz(x19) q[5]; h q[5]; h q[6]; rz(x19) q[6]; h q[6]; h q[7]; rz(x19) q[7]; h q[7]; cx q[1], q[0]; rz(x20) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x20) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x20) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x20) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x20) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x20) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x20) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x20) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x20) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x20) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x20) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x20) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x20) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x20) q[7]; cx q[6], q[7]; rz(x21) q[1]; rz(x22) q[0]; rz(x23) q[2]; rz(x24) q[3]; rz(x25) q[4]; rz(x26) q[5]; rz(x27) q[6]; rz(x28) q[7]; h q[0]; rz(x29) q[0]; h q[0]; h q[1]; rz(x29) q[1]; h q[1]; h q[2]; rz(x29) q[2]; h q[2]; h q[3]; rz(x29) q[3]; h q[3]; h q[4]; rz(x29) q[4]; h q[4]; h q[5]; rz(x29) q[5]; h q[5]; h q[6]; rz(x29) q[6]; h q[6]; h q[7]; rz(x29) q[7]; h q[7]; cx q[1], q[0]; rz(x30) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x30) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x30) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x30) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x30) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x30) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x30) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x30) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x30) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x30) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x30) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x30) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x30) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x30) q[7]; cx q[6], q[7]; rz(x31) q[1]; rz(x32) q[0]; rz(x33) q[2]; rz(x34) q[3]; rz(x35) q[4]; rz(x36) q[5]; rz(x37) q[6]; rz(x38) q[7]; h q[0]; rz(x39) q[0]; h q[0]; h q[1]; rz(x39) q[1]; h q[1]; h q[2]; rz(x39) q[2]; h q[2]; h q[3]; rz(x39) q[3]; h q[3]; h q[4]; rz(x39) q[4]; h q[4]; h q[5]; rz(x39) q[5]; h q[5]; h q[6]; rz(x39) q[6]; h q[6]; h q[7]; rz(x39) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"matching": "maximum", "extra": "{\"n\": 7}"}
{"circuits": [], "gradients": []}
b810369a1086fa9cdadf9cd9911dedf5
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 4, "target": 8}, {"source": 4, "target": 9}, {"source": 6, "target": 9}, {"source": 7, "target": 8}, {"source": 8, "target": 9}]}
{"states": [792, 794], "expectation_value": -7.518376903941457, "params": [1.5705, 1.5671000000000002, 1.5649000000000002, 1.5722, -0.002, -0.002, -0.002, -0.002, -0.003, -0.003, 1.5681, 1.5673000000000001, 1.5766, 1.5733000000000001, -0.0015, -0.0015, -0.8068000000000001, -0.8023, 0.0031000000000000003, 0.0031000000000000003, 0.6247, 0.0082, -0.0031000000000000003, 0.0088, 0.003, 0.0041, 1.0504, 0.005200000000000001, -1.0901, 0.0074, -1.0452000000000001, 0.006900000000000001, -0.0019, 0.0071, 0.002, 0.0048000000000000004, 1.2544, 0.0036000000000000003, -0.1398, 0.0092], "bitstrings": ["0011100111", "0011100101"], "total_optimization_steps": 180, "probabilities": [0.481459053856262, 0.5184738981623556], "optimization_time": 25.536574125289917}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + -0.5 * Z(7) + 0.0 * Z(1) + -1.5 * Z(6) + -1.5 * Z(8) + 0.0 * Z(5) + -1.0 * Z(9)
13
10
1
{"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["0011100101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; ry(1.5705) q[0]; ry(1.5649) q[1]; ry(-0.002) q[2]; ry(-0.002) q[3]; ry(-0.003) q[4]; ry(1.5681) q[5]; ry(1.5766) q[6]; ry(-0.0015) q[7]; ry(-0.8068) q[8]; ry(0.0031) q[9]; crz(0.6247) q[9], q[0]; crz(-0.1398) q[8], q[9]; crz(1.2544) q[7], q[8]; crz(0.002) q[6], q[7]; crz(-0.0019) q[5], q[6]; crz(-1.0452) q[4], q[5]; crz(-1.0901) q[3], q[4]; crz(1.0504) q[2], q[3]; crz(0.003) q[1], q[2]; crz(-0.0031) q[0], q[1]; ry(1.5671) q[0]; ry(1.5722) q[1]; ry(-0.002) q[2]; ry(-0.002) q[3]; ry(-0.003) q[4]; ry(1.5673) q[5]; ry(1.5733) q[6]; ry(-0.0015) q[7]; ry(-0.8023) q[8]; ry(0.0031) q[9]; crz(0.0082) q[9], q[8]; crz(0.0088) q[0], q[9]; crz(0.0041) q[0], q[1]; crz(0.0052) q[1], q[2]; crz(0.0074) q[2], q[3]; crz(0.0069) q[3], q[4]; crz(0.0071) q[4], q[5]; crz(0.0048) q[5], q[6]; crz(0.0036) q[6], q[7]; crz(0.0092) q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x2) q[3]; ry(x3) q[4]; ry(x4) q[5]; ry(x5) q[6]; ry(x6) q[7]; ry(x7) q[8]; ry(x8) q[9]; crz(x9) q[9], q[0]; crz(x10) q[8], q[9]; crz(x11) q[7], q[8]; crz(x12) q[6], q[7]; crz(x13) q[5], q[6]; crz(x14) q[4], q[5]; crz(x15) q[3], q[4]; crz(x16) q[2], q[3]; crz(x17) q[1], q[2]; crz(x18) q[0], q[1]; ry(x19) q[0]; ry(x20) q[1]; ry(x2) q[2]; ry(x2) q[3]; ry(x3) q[4]; ry(x21) q[5]; ry(x22) q[6]; ry(x6) q[7]; ry(x23) q[8]; ry(x8) q[9]; crz(x24) q[9], q[8]; crz(x25) q[0], q[9]; crz(x26) q[0], q[1]; crz(x27) q[1], q[2]; crz(x28) q[2], q[3]; crz(x29) q[3], q[4]; crz(x30) q[4], q[5]; crz(x31) q[5], q[6]; crz(x32) q[6], q[7]; crz(x33) q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
159cd19d829ee4ab847c9545b38e61cb
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 4, "target": 6}]}
{"states": [88, 74], "expectation_value": -4.496515537764841, "params": null, "bitstrings": ["0100111", "0110101"], "total_optimization_steps": 23, "probabilities": [0.0670089808716783, 0.9297460398026791], "optimization_time": 16.803730249404907}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3)
1
7
1
{"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110101", "1010101", "0100111", "1110100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; ry(-1.5708) q[6]; ry(-1.5681) q[4]; ry(-1.4449) q[1]; ry(1.4449) q[3]; ry(1.4417) q[0]; cry(-1.0398) q[5], q[2]; ry(0.7022) q[5]; ry(-0.4578) q[2]; cry(0.497) q[3], q[5]; cry(-0.3761) q[3], q[2]; cry(0.2474) q[0], q[5]; cry(-0.1469) q[0], q[2]; cry(-0.1214) q[0], q[1]; cry(0.1208) q[3], q[0]; cry(0.1157) q[0], q[3]; cry(-0.0027) q[3], q[4]; cry(-0.0223) q[2], q[5]; cry(-0.0048) q[3], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0223) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0223) q[2], q[5];\ncry(-0.0048) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0223) q[2], q[5];\ncry(-0.0048) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [1.5105, 1.0062, 0.503, 0.5002, 0.4958, 0.253, 0.2463, 0.1912, 0.2244, 0.1882, 0.1266, 0.078, 0.0726, 0.0626, 0.0601, 0.0138, 0.0097, 0.0073, 0.0049, 0.0049, 0.0048, 0.004, 0.0028]}
6d7e5c7b3f86be8f7eca13c50e6c3de8
kclique
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 5, "target": 4}]}
{"states": [14, 7], "expectation_value": -12.718128961070258, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10584323864462455, 0.6130206780999486], "optimization_time": 85.17464828491211}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.25 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.5 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -3.75 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -2.75 * Z(4) + -2.75 * Z(6)
12
7
3
{"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; ry(-1.4894) q[0]; cry(-1.5708) q[6], q[3]; ry(0.8451) q[6]; cry(-1.5708) q[5], q[2]; cry(-1.5707) q[4], q[1]; ry(1.0936) q[4]; ry(-0.443) q[1]; ry(0.8272) q[5]; ry(-0.3828) q[3]; ry(-0.3394) q[2]; cry(0.4115) q[4], q[6]; cry(-0.2328) q[4], q[3]; cry(0.366) q[4], q[5]; cry(-0.2515) q[4], q[2]; cry(0.2369) q[5], q[4]; cry(-0.2073) q[5], q[1]; cry(0.2339) q[6], q[5]; cry(0.2174) q[5], q[6]; cry(-0.1203) q[6], q[2]; cry(-0.1176) q[5], q[3]; cry(0.1469) q[6], q[4]; cry(-0.0797) q[4], q[0]; cry(-0.0871) q[6], q[1]; cry(0.2741) q[1], q[6]; cry(0.1913) q[3], q[5]; cry(-0.1235) q[1], q[3]; cry(0.17) q[2], q[6]; cry(0.139) q[3], q[4]; cry(-0.1066) q[2], q[5]; cry(0.1659) q[1], q[5]; cry(-0.0119) q[6], q[0]; cry(-0.0822) q[2], q[3]; cry(-0.0829) q[1], q[2]; cry(0.1004) q[2], q[4]; cry(-0.1161) q[2], q[1]; cry(-0.0673) q[1], q[0]; cry(-0.067) q[3], q[1]; cry(-0.0527) q[3], q[6]; cry(-0.0492) q[3], q[2]; cry(0.0068) q[5], q[0]; cry(-0.031) q[1], q[4]; cry(-0.0092) q[3], q[0]; cry(0.0075) q[2], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"k": 4}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\ncry(0.0075) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\ncry(0.0075) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [3.8141, 1.7816, 1.3797, 1.8732, 1.303, 2.4027, 1.0562, 1.3445, 1.1403, 0.9407, 0.7218, 0.6167, 0.5951, 0.6921, 0.4583, 0.5933, 0.3888, 0.3742, 0.3561, 0.3453, 0.2918, 0.2831, 0.2613, 0.1042, 0.0712, 0.0607, 0.0655, 0.0567, 0.0538, 0.0576, 0.047, 0.0419, 0.0411, 0.038, 0.0586, 0.0373, 0.034, 0.0257, 0.0249, 0.0197, 0.0196, 0.0196, 0.0191, 0.0156, 0.0152, 0.015, 0.0144, 0.0135, 0.0118, 0.0117, 0.0116, 0.0102, 0.0095, 0.0091, 0.009, 0.0076, 0.0072, 0.0071, 0.0071, 0.0061, 0.0048, 0.0046, 0.0045, 0.0042, 0.0039, 0.0029]}
df62b430c122c4297c9377287854fb07
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 3, "target": 4}]}
{"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 7.937665700912476}
-0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2)
1
5
3
{"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; ry(1.4449) q[2]; cry(1.5481) q[2], q[1]; cry(-1.3016) q[4], q[0]; ry(1.0708) q[4]; ry(-0.6818) q[0]; cry(0.39) q[1], q[4]; cry(-0.1878) q[1], q[0]; cry(0.089) q[1], q[2]; cry(0.087) q[2], q[4]; cry(-0.0399) q[2], q[0]; ry(0.0223) q[1]; cry(0.0183) q[3], q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
null
{"source": 0, "sink": 4}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n"], "gradients": [0.5012, 0.7497, 0.3759, 0.4994, 0.4212, 0.2629, 0.1337, 0.0864, 0.0598, 0.0295, 0.0187, 0.0083, 0.0043, 0.0037, 0.0036, 0.0036, 0.0033, 0.0026]}
9006e1cda586e64ac804d82481649caf
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}, {"bipartite": 1, "id": 15}], "edges": [{"weight": 1, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 15}, {"weight": 3, "source": 1, "target": 9}, {"weight": 5, "source": 2, "target": 10}, {"weight": 1, "source": 3, "target": 11}, {"weight": 1, "source": 4, "target": 12}, {"weight": 4, "source": 5, "target": 13}, {"weight": 19, "source": 5, "target": 12}, {"weight": 13, "source": 5, "target": 11}, {"weight": 2, "source": 6, "target": 14}, {"weight": 10, "source": 7, "target": 15}, {"weight": 20, "source": 7, "target": 10}, {"weight": 11, "source": 7, "target": 13}]}
{"states": [4197, 4198], "expectation_value": -160.613053766267, "params": [[1.2783, -0.0022, 0.0012000000000000001, 0.0006000000000000001, -0.004, -0.0013000000000000002, 1.252, 0.020800000000000003, 1.6417000000000002, -0.0027, 0.8682000000000001, -0.0335, 0.5934], [0.64, 0.0017000000000000001, -0.0059, -0.0001, -0.0027, -0.0039000000000000003, 0.7026, 0.2048, 1.0126, -0.0026000000000000003, 0.8322, -0.2411, -0.3159], [1.0607, -0.0057, -0.0043, -0.0032, -0.006, -0.007500000000000001, 1.0539, 1.4128, 1.6563, -0.0025, 0.7864, 0.2311, 0.5854], [0.0419, 0.0048000000000000004, -0.001, -0.0058000000000000005, -0.0016, 0.0034000000000000002, 0.19890000000000002, 0.5740000000000001, -0.4929, -0.0025, 0.6880000000000001, -1.4587, -0.24600000000000002], [0.25570000000000004, 0.0025, -0.0021000000000000003, -0.0035, 0.0024000000000000002, 0.0018000000000000002, 0.149, 1.4368, 0.8292, -0.0026000000000000003, -0.09860000000000001, 0.1317, 1.32]], "bitstrings": ["0111110011010", "0111110011001"], "total_optimization_steps": 450, "probabilities": [0.3150068835709363, 0.39558657796541147], "optimization_time": 33.61682486534119}
8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(12) @ Z(0)) + 8.5 * (Z(10) @ Z(12)) + 8.5 * (Z(3) @ Z(10)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(11) @ Z(10)) + 9.5 * Z(0) + -8.0 * Z(1) + 15.0 * Z(6) + -8.0 * Z(4) + 18.0 * Z(7) + -8.0 * Z(5) + 10.5 * Z(8) + 13.5 * Z(12) + 18.5 * Z(10) + -6.0 * Z(3) + 14.0 * Z(11) + -15.5 * Z(2) + -16.0 * Z(9)
10
13
4
{"smallest_eigenvalues": [-180.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -156.5, "smallest_bitstrings": ["0111110011001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[13] c; qubit[13] q; ry(1.2783) q[0]; ry(-0.0022) q[1]; ry(0.0012) q[2]; ry(0.0006) q[3]; ry(-0.004) q[4]; ry(-0.0013) q[5]; ry(1.252) q[6]; ry(0.0208) q[7]; ry(1.6417) q[8]; ry(-0.0027) q[9]; ry(0.8682) q[10]; ry(-0.0335) q[11]; ry(0.5934) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(0.64) q[0]; ry(0.0017) q[1]; ry(-0.0059) q[2]; ry(-0.0001) q[3]; ry(-0.0027) q[4]; ry(-0.0039) q[5]; ry(0.7026) q[6]; ry(0.2048) q[7]; ry(1.0126) q[8]; ry(-0.0026) q[9]; ry(0.8322) q[10]; ry(-0.2411) q[11]; ry(-0.3159) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(1.0607) q[0]; ry(-0.0057) q[1]; ry(-0.0043) q[2]; ry(-0.0032) q[3]; ry(-0.006) q[4]; ry(-0.0075) q[5]; ry(1.0539) q[6]; ry(1.4128) q[7]; ry(1.6563) q[8]; ry(-0.0025) q[9]; ry(0.7864) q[10]; ry(0.2311) q[11]; ry(0.5854) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(0.0419) q[0]; ry(0.0048) q[1]; ry(-0.001) q[2]; ry(-0.0058) q[3]; ry(-0.0016) q[4]; ry(0.0034) q[5]; ry(0.1989) q[6]; ry(0.574) q[7]; ry(-0.4929) q[8]; ry(-0.0025) q[9]; ry(0.688) q[10]; ry(-1.4587) q[11]; ry(-0.246) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(0.2557) q[0]; ry(0.0025) q[1]; ry(-0.0021) q[2]; ry(-0.0035) q[3]; ry(0.0024) q[4]; ry(0.0018) q[5]; ry(0.149) q[6]; ry(1.4368) q[7]; ry(0.8292) q[8]; ry(-0.0026) q[9]; ry(-0.0986) q[10]; ry(0.1317) q[11]; ry(1.32) q[12]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x7; input float[64] x8; input float[64] x9; bit[13] c; qubit[13] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; ry(x12) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x13) q[0]; ry(x14) q[1]; ry(x15) q[2]; ry(x16) q[3]; ry(x9) q[4]; ry(x17) q[5]; ry(x18) q[6]; ry(x19) q[7]; ry(x20) q[8]; ry(x21) q[9]; ry(x22) q[10]; ry(x23) q[11]; ry(x24) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x25) q[0]; ry(x26) q[1]; ry(x27) q[2]; ry(x28) q[3]; ry(x29) q[4]; ry(x30) q[5]; ry(x31) q[6]; ry(x32) q[7]; ry(x33) q[8]; ry(x34) q[9]; ry(x35) q[10]; ry(x36) q[11]; ry(x37) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x38) q[0]; ry(x39) q[1]; ry(x40) q[2]; ry(x41) q[3]; ry(x42) q[4]; ry(x43) q[5]; ry(x44) q[6]; ry(x45) q[7]; ry(x46) q[8]; ry(x34) q[9]; ry(x47) q[10]; ry(x48) q[11]; ry(x49) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x50) q[0]; ry(x51) q[1]; ry(x52) q[2]; ry(x53) q[3]; ry(x54) q[4]; ry(x55) q[5]; ry(x56) q[6]; ry(x57) q[7]; ry(x58) q[8]; ry(x21) q[9]; ry(x59) q[10]; ry(x60) q[11]; ry(x61) q[12]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"}
{"circuits": [], "gradients": []}
9585bd9da3a23c867b07a66c1ae06e3f
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 10, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 12}, {"weight": 1, "source": 1, "target": 7}, {"weight": 14, "source": 1, "target": 14}, {"weight": 3, "source": 2, "target": 8}, {"weight": 20, "source": 2, "target": 12}, {"weight": 8, "source": 3, "target": 9}, {"weight": 15, "source": 3, "target": 11}, {"weight": 6, "source": 4, "target": 10}, {"weight": 15, "source": 4, "target": 12}, {"weight": 6, "source": 5, "target": 11}]}
{"states": [1874, 1362], "expectation_value": -88.62641967437706, "params": [0.8044, -0.0222, 0.2891, -0.34240000000000004, 0.8063, 0.0066, 0.0054, 0.0521, 0.8037000000000001, -0.0043, 0.0703, 0.21580000000000002, 0.8042, 0.0021000000000000003, 0.0058000000000000005, -0.31420000000000003, 0.1784, 0.0066, 0.7985, -0.0112, 0.3788, 0.2431, 0.8038000000000001, 0.0356, 0.2902, -0.3803, 0.8028000000000001, -0.0471, -0.0064, 0.22940000000000002, 0.8048000000000001, -0.0009000000000000001, 0.0506, 0.2275, 0.799, 0.0045000000000000005, -0.0016, -0.3724, 0.29610000000000003, 0.0201, 0.8043, 0.0143, 0.3733, 0.2599, 0.7976000000000001, 0.021, 0.1705, -0.3709, 0.799, 0.0396, 0.001, 0.3804, 0.7971, -0.1106, -0.125, 0.2679, 0.7998000000000001, -0.11570000000000001, -0.0083, -0.4037, 0.46830000000000005, -0.0206, 0.8029000000000001, -0.0922, 0.1809, 0.0047, -0.21330000000000002, -0.0328, -0.4117, 0.001, -0.167, -0.12710000000000002, -0.7468, -0.0403, 0.0519, 0.18050000000000002, 0.1845, 0.248, -0.4495, 0.0026000000000000003, 0.4011, 0.09190000000000001, -0.2361, -0.023100000000000002, -0.2536, 0.3784, 0.7189, 0.1888, -0.6295000000000001, 0.0041, 0.5697, -0.0636, 0.7463000000000001, -0.0068000000000000005, -0.7657, 0.5541], "bitstrings": ["00010101101", "01010101101"], "total_optimization_steps": 80, "probabilities": [0.1076937015760831, 0.3035474474603211], "optimization_time": 17.117289304733276}
8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(6)) + -3.0 * Z(1) + 18.0 * Z(0) + -1.0 * Z(2) + -7.5 * Z(3) + 18.0 * Z(4) + -6.5 * Z(5) + 7.5 * Z(6) + -4.0 * Z(7) + 15.5 * Z(9) + -5.0 * Z(8) + -5.0 * Z(10)
4
11
3
{"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01010101101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; rx(0.8044) q[0]; rz(-0.0222) q[0]; rx(0.2891) q[1]; rz(-0.3424) q[1]; rx(0.8063) q[2]; rz(0.0066) q[2]; rx(0.0054) q[3]; rz(0.0521) q[3]; rx(0.8037) q[4]; rz(-0.0043) q[4]; rx(0.0703) q[5]; rz(0.2158) q[5]; rx(0.8042) q[6]; rz(0.0021) q[6]; rx(0.0058) q[7]; rz(-0.3142) q[7]; rx(0.1784) q[8]; rz(0.0066) q[8]; rx(0.7985) q[9]; rz(-0.0112) q[9]; rx(0.3788) q[10]; rz(0.2431) q[10]; crx(0.1805) q[10], q[9]; crx(0.0519) q[9], q[8]; crx(-0.0403) q[8], q[7]; crx(-0.7468) q[7], q[6]; crx(-0.1271) q[6], q[5]; crx(-0.167) q[5], q[4]; crx(0.001) q[4], q[3]; crx(-0.4117) q[3], q[2]; crx(-0.0328) q[2], q[1]; crx(-0.2133) q[1], q[0]; rx(0.8038) q[0]; rz(0.0356) q[0]; rx(0.2902) q[1]; rz(-0.3803) q[1]; rx(0.8028) q[2]; rz(-0.0471) q[2]; rx(-0.0064) q[3]; rz(0.2294) q[3]; rx(0.8048) q[4]; rz(-0.0009) q[4]; rx(0.0506) q[5]; rz(0.2275) q[5]; rx(0.799) q[6]; rz(0.0045) q[6]; rx(-0.0016) q[7]; rz(-0.3724) q[7]; rx(0.2961) q[8]; rz(0.0201) q[8]; rx(0.8043) q[9]; rz(0.0143) q[9]; rx(0.3733) q[10]; rz(0.2599) q[10]; crx(0.3784) q[10], q[9]; crx(-0.2536) q[9], q[8]; crx(-0.0231) q[8], q[7]; crx(-0.2361) q[7], q[6]; crx(0.0919) q[6], q[5]; crx(0.4011) q[5], q[4]; crx(0.0026) q[4], q[3]; crx(-0.4495) q[3], q[2]; crx(0.248) q[2], q[1]; crx(0.1845) q[1], q[0]; rx(0.7976) q[0]; rz(0.021) q[0]; rx(0.1705) q[1]; rz(-0.3709) q[1]; rx(0.799) q[2]; rz(0.0396) q[2]; rx(0.001) q[3]; rz(0.3804) q[3]; rx(0.7971) q[4]; rz(-0.1106) q[4]; rx(-0.125) q[5]; rz(0.2679) q[5]; rx(0.7998) q[6]; rz(-0.1157) q[6]; rx(-0.0083) q[7]; rz(-0.4037) q[7]; rx(0.4683) q[8]; rz(-0.0206) q[8]; rx(0.8029) q[9]; rz(-0.0922) q[9]; rx(0.1809) q[10]; rz(0.0047) q[10]; crx(0.5541) q[10], q[9]; crx(-0.7657) q[9], q[8]; crx(-0.0068) q[8], q[7]; crx(0.7463) q[7], q[6]; crx(-0.0636) q[6], q[5]; crx(0.5697) q[5], q[4]; crx(0.0041) q[4], q[3]; crx(-0.6295) q[3], q[2]; crx(0.1888) q[2], q[1]; crx(0.7189) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x5) q[8]; rx(x17) q[9]; rz(x18) q[9]; rx(x19) q[10]; rz(x20) q[10]; crx(x21) q[10], q[9]; crx(x22) q[9], q[8]; crx(x23) q[8], q[7]; crx(x24) q[7], q[6]; crx(x25) q[6], q[5]; crx(x26) q[5], q[4]; crx(x27) q[4], q[3]; crx(x28) q[3], q[2]; crx(x29) q[2], q[1]; crx(x30) q[1], q[0]; rx(x31) q[0]; rz(x32) q[0]; rx(x33) q[1]; rz(x34) q[1]; rx(x35) q[2]; rz(x36) q[2]; rx(x37) q[3]; rz(x38) q[3]; rx(x39) q[4]; rz(x40) q[4]; rx(x41) q[5]; rz(x42) q[5]; rx(x43) q[6]; rz(x44) q[6]; rx(x45) q[7]; rz(x46) q[7]; rx(x47) q[8]; rz(x48) q[8]; rx(x49) q[9]; rz(x50) q[9]; rx(x51) q[10]; rz(x52) q[10]; crx(x53) q[10], q[9]; crx(x54) q[9], q[8]; crx(x55) q[8], q[7]; crx(x56) q[7], q[6]; crx(x57) q[6], q[5]; crx(x58) q[5], q[4]; crx(x59) q[4], q[3]; crx(x60) q[3], q[2]; crx(x61) q[2], q[1]; crx(x62) q[1], q[0]; rx(x63) q[0]; rz(x64) q[0]; rx(x65) q[1]; rz(x66) q[1]; rx(x43) q[2]; rz(x67) q[2]; rx(x27) q[3]; rz(x68) q[3]; rx(x69) q[4]; rz(x70) q[4]; rx(x71) q[5]; rz(x72) q[5]; rx(x73) q[6]; rz(x74) q[6]; rx(x75) q[7]; rz(x76) q[7]; rx(x77) q[8]; rz(x78) q[8]; rx(x79) q[9]; rz(x80) q[9]; rx(x81) q[10]; rz(x82) q[10]; crx(x83) q[10], q[9]; crx(x84) q[9], q[8]; crx(x85) q[8], q[7]; crx(x86) q[7], q[6]; crx(x87) q[6], q[5]; crx(x88) q[5], q[4]; crx(x89) q[4], q[3]; crx(x90) q[3], q[2]; crx(x91) q[2], q[1]; crx(x92) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
abc01bbbec8df6018b1ccc06153a1aa6
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]}
{"states": [116, 84], "expectation_value": -3.6392464190117084, "params": [[[1.7069, 0.0085], [1.5388000000000002, 0.003], [1.6052000000000002, 0.004], [-0.0019, 0.0058000000000000005], [1.713, 0.006900000000000001], [-0.0017000000000000001, 0.005], [-0.0036000000000000003, 0.0064]]], "bitstrings": ["0001011", "0101011"], "total_optimization_steps": 170, "probabilities": [0.08114510402775542, 0.08651452173164505], "optimization_time": 3.2912707328796387}
0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4)
1
7
1
{"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101011", "0011011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; rx(1.7069) q[0]; rz(0.0085) q[0]; rx(1.5388) q[1]; rz(0.003) q[1]; rx(1.6052) q[2]; rz(0.004) q[2]; rx(-0.0019) q[3]; rz(0.0058) q[3]; rx(1.713) q[4]; rz(0.0069) q[4]; rx(-0.0017) q[5]; rz(0.005) q[5]; rx(-0.0036) q[6]; rz(0.0064) q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
3bcfe4648282d1b3b76d6f42e87e5c5d
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]}
{"states": [28, 44], "expectation_value": -0.578227559187767, "params": [[0.0584, 0.0606, 0.0551], [-0.042, -0.0477, -0.049]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.022125168232069264, 0.02212516823206927], "optimization_time": 3.383725643157959}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3)
1
6
3
{"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[1], q[0]; rz(0.0584) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(0.0584) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.0584) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(0.0584) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(0.0584) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(0.0584) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(0.0584) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(0.0584) q[3]; cx q[4], q[3]; rz(-0.0584) q[1]; rz(-0.0584) q[0]; rz(-0.2336) q[5]; rz(-0.0584) q[2]; rz(-0.1168) q[4]; rz(-0.0584) q[3]; h q[0]; rz(-0.084) q[0]; h q[0]; h q[1]; rz(-0.084) q[1]; h q[1]; h q[2]; rz(-0.084) q[2]; h q[2]; h q[3]; rz(-0.084) q[3]; h q[3]; h q[4]; rz(-0.084) q[4]; h q[4]; h q[5]; rz(-0.084) q[5]; h q[5]; cx q[1], q[0]; rz(0.0606) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(0.0606) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.0606) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(0.0606) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(0.0606) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(0.0606) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(0.0606) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(0.0606) q[3]; cx q[4], q[3]; rz(-0.0606) q[1]; rz(-0.0606) q[0]; rz(-0.2424) q[5]; rz(-0.0606) q[2]; rz(-0.1212) q[4]; rz(-0.0606) q[3]; h q[0]; rz(-0.0954) q[0]; h q[0]; h q[1]; rz(-0.0954) q[1]; h q[1]; h q[2]; rz(-0.0954) q[2]; h q[2]; h q[3]; rz(-0.0954) q[3]; h q[3]; h q[4]; rz(-0.0954) q[4]; h q[4]; h q[5]; rz(-0.0954) q[5]; h q[5]; cx q[1], q[0]; rz(0.0551) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(0.0551) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.0551) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(0.0551) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(0.0551) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(0.0551) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(0.0551) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(0.0551) q[3]; cx q[4], q[3]; rz(-0.0551) q[1]; rz(-0.0551) q[0]; rz(-0.2204) q[5]; rz(-0.0551) q[2]; rz(-0.1102) q[4]; rz(-0.0551) q[3]; h q[0]; rz(-0.098) q[0]; h q[0]; h q[1]; rz(-0.098) q[1]; h q[1]; h q[2]; rz(-0.098) q[2]; h q[2]; h q[3]; rz(-0.098) q[3]; h q[3]; h q[4]; rz(-0.098) q[4]; h q[4]; h q[5]; rz(-0.098) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(x0) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; rz(x1) q[1]; rz(x1) q[0]; rz(x2) q[5]; rz(x1) q[2]; rz(x3) q[4]; rz(x1) q[3]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; cx q[1], q[0]; rz(x5) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(x5) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x5) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(x5) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(x5) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(x5) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(x5) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x5) q[3]; cx q[4], q[3]; rz(x6) q[1]; rz(x6) q[0]; rz(x7) q[5]; rz(x6) q[2]; rz(x8) q[4]; rz(x6) q[3]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(x10) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x10) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(x10) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(x10) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(x10) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(x10) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x10) q[3]; cx q[4], q[3]; rz(x11) q[1]; rz(x11) q[0]; rz(x12) q[5]; rz(x11) q[2]; rz(x13) q[4]; rz(x11) q[3]; h q[0]; rz(x14) q[0]; h q[0]; h q[1]; rz(x14) q[1]; h q[1]; h q[2]; rz(x14) q[2]; h q[2]; h q[3]; rz(x14) q[3]; h q[3]; h q[4]; rz(x14) q[4]; h q[4]; h q[5]; rz(x14) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
db7bdfb6ee94a36848a9fd983ceba634
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 7}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 5, "source": 3, "target": 5}, {"capacity": 4, "source": 4, "target": 2}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 2, "source": 5, "target": 4}]}
{"states": [1, 65], "expectation_value": -10.942900576329208, "params": [0.0036000000000000003, 0.46480000000000005, 0.7931, 0.0086, 0.0023, 0.49760000000000004, 0.0024000000000000002, 0.5788, 0.003, -0.2806, 0.0024000000000000002, 0.5204, 0.0028, 0.6014, 0.8036000000000001, 0.0056, 0.0035, 0.0032, 0.794, 0.0043, 0.0023, 0.0091, 0.0024000000000000002, 0.0073, 0.0014, 0.0058000000000000005, 0.0024000000000000002, 0.008, 0.0028, 0.0077, 0.8091, 0.0014, 0.0083, -0.4878, -0.5669000000000001, 0.28350000000000003, -0.5049, -0.5805, 0.004, 0.008700000000000001, 0.0063, 0.004, 0.004200000000000001, 0.0081, 0.0035, 0.0021000000000000003], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 80, "probabilities": [0.25620472889786833, 0.2647220305473781], "optimization_time": 15.56736445426941}
-1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6)
3
8
2
{"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(0.0036) q[0]; rz(0.4648) q[0]; rx(0.7931) q[1]; rz(0.0086) q[1]; rx(0.0023) q[2]; rz(0.4976) q[2]; rx(0.0024) q[3]; rz(0.5788) q[3]; rx(0.003) q[4]; rz(-0.2806) q[4]; rx(0.0024) q[5]; rz(0.5204) q[5]; rx(0.0028) q[6]; rz(0.6014) q[6]; rx(0.8036) q[7]; rz(0.0056) q[7]; crz(0.004) q[7], q[6]; crz(-0.5805) q[6], q[5]; crz(-0.5049) q[5], q[4]; crz(0.2835) q[4], q[3]; crz(-0.5669) q[3], q[2]; crz(-0.4878) q[2], q[1]; crz(0.0083) q[1], q[0]; rx(0.0035) q[0]; rz(0.0032) q[0]; rx(0.794) q[1]; rz(0.0043) q[1]; rx(0.0023) q[2]; rz(0.0091) q[2]; rx(0.0024) q[3]; rz(0.0073) q[3]; rx(0.0014) q[4]; rz(0.0058) q[4]; rx(0.0024) q[5]; rz(0.008) q[5]; rx(0.0028) q[6]; rz(0.0077) q[6]; rx(0.8091) q[7]; rz(0.0014) q[7]; crz(0.0021) q[7], q[6]; crz(0.0035) q[6], q[5]; crz(0.0081) q[5], q[4]; crz(0.0042) q[4], q[3]; crz(0.004) q[3], q[2]; crz(0.0063) q[2], q[1]; crz(0.0087) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x6) q[5]; rz(x10) q[5]; rx(x11) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; crz(x15) q[7], q[6]; crz(x16) q[6], q[5]; crz(x17) q[5], q[4]; crz(x18) q[4], q[3]; crz(x19) q[3], q[2]; crz(x20) q[2], q[1]; crz(x21) q[1], q[0]; rx(x22) q[0]; rz(x23) q[0]; rx(x24) q[1]; rz(x25) q[1]; rx(x4) q[2]; rz(x26) q[2]; rx(x6) q[3]; rz(x27) q[3]; rx(x28) q[4]; rz(x29) q[4]; rx(x6) q[5]; rz(x30) q[5]; rx(x11) q[6]; rz(x31) q[6]; rx(x32) q[7]; rz(x28) q[7]; crz(x33) q[7], q[6]; crz(x22) q[6], q[5]; crz(x34) q[5], q[4]; crz(x35) q[4], q[3]; crz(x15) q[3], q[2]; crz(x36) q[2], q[1]; crz(x37) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
81433db079a35f69a6b9f63c7352b11b
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": 7, "target": 10}, {"source": 7, "target": 11}, {"source": 8, "target": 9}, {"source": 8, "target": 11}, {"source": 9, "target": 10}, {"source": 9, "target": 11}, {"source": 10, "target": 11}]}
{"states": [2047, 1023], "expectation_value": -33.02496270039904, "params": [[[-1.6232, 0.001], [0.0024000000000000002, 0.0058000000000000005], [0.0024000000000000002, 0.0017000000000000001], [0.0025, 0.0006000000000000001], [0.0025, 0.0012000000000000001], [0.0025, 0.0098], [0.0026000000000000003, 0.0086], [0.0023, 0.0027], [0.0028, 0.004], [0.0022, 0.0034000000000000002], [3.1596, 0.0064]]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 320, "probabilities": [0.47377921230773845, 0.5261259504935004], "optimization_time": 8.3877432346344}
-2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(8)) + 1.0 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(10) @ Z(1)) + 1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(2)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(2) + 0.5 * Z(9) + 0.5 * Z(10) + -0.5 * Z(0)
2
11
1
{"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["10000000000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; rx(-1.6232) q[0]; rz(0.001) q[0]; rx(0.0024) q[1]; rz(0.0058) q[1]; rx(0.0024) q[2]; rz(0.0017) q[2]; rx(0.0025) q[3]; rz(0.0006) q[3]; rx(0.0025) q[4]; rz(0.0012) q[4]; rx(0.0025) q[5]; rz(0.0098) q[5]; rx(0.0026) q[6]; rz(0.0086) q[6]; rx(0.0023) q[7]; rz(0.0027) q[7]; rx(0.0028) q[8]; rz(0.004) q[8]; rx(0.0022) q[9]; rz(0.0034) q[9]; rx(3.1596) q[10]; rz(0.0064) q[10]; cx q[10], q[9]; cx q[9], q[8]; cx q[8], q[7]; cx q[7], q[6]; cx q[6], q[5]; cx q[5], q[4]; cx q[4], q[3]; cx q[3], q[2]; cx q[2], q[1]; cx q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x2) q[2]; rz(x4) q[2]; rx(x5) q[3]; rz(x6) q[3]; rx(x5) q[4]; rz(x7) q[4]; rx(x5) q[5]; rz(x8) q[5]; rx(x9) q[6]; rz(x10) q[6]; rx(x11) q[7]; rz(x12) q[7]; rx(x13) q[8]; rz(x14) q[8]; rx(x15) q[9]; rz(x16) q[9]; rx(x17) q[10]; rz(x18) q[10]; cx q[10], q[9]; cx q[9], q[8]; cx q[8], q[7]; cx q[7], q[6]; cx q[6], q[5]; cx q[5], q[4]; cx q[4], q[3]; cx q[3], q[2]; cx q[2], q[1]; cx q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"node": 1}
{"circuits": [], "gradients": []}
253d3995de007ce15800f0023018551d
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 1, "source": 3, "target": 4}, {"capacity": 2, "source": 3, "target": 5}, {"capacity": 3, "source": 4, "target": 1}, {"capacity": 2, "source": 4, "target": 3}]}
{"states": [3, 1], "expectation_value": -0.8357284991832656, "params": [[-0.051800000000000006, -0.0345], [0.06520000000000001, 0.0507]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011365268052520507, 0.012419419042559878], "optimization_time": 2.4611124992370605}
-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5)
1
7
2
{"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(0.0518) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0259) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1036) q[2]; cx q[0], q[2]; cx q[0], q[6]; rz(-0.1813) q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(0.1036) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(0.0518) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0777) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(0.0777) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(0.0518) q[5]; cx q[3], q[5]; rz(0.2072) q[1]; rz(0.0259) q[0]; rz(0.1813) q[2]; rz(-0.1813) q[6]; rz(-0.1813) q[3]; rz(-0.1036) q[4]; rz(0.0518) q[5]; h q[0]; rz(0.1304) q[0]; h q[0]; h q[1]; rz(0.1304) q[1]; h q[1]; h q[2]; rz(0.1304) q[2]; h q[2]; h q[3]; rz(0.1304) q[3]; h q[3]; h q[4]; rz(0.1304) q[4]; h q[4]; h q[5]; rz(0.1304) q[5]; h q[5]; h q[6]; rz(0.1304) q[6]; h q[6]; cx q[1], q[0]; rz(0.0345) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0173) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.069) q[2]; cx q[0], q[2]; cx q[0], q[6]; rz(-0.1208) q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(0.069) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(0.0345) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0518) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(0.0518) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(0.0345) q[5]; cx q[3], q[5]; rz(0.138) q[1]; rz(0.0173) q[0]; rz(0.1208) q[2]; rz(-0.1208) q[6]; rz(-0.1208) q[3]; rz(-0.069) q[4]; rz(0.0345) q[5]; h q[0]; rz(0.1014) q[0]; h q[0]; h q[1]; rz(0.1014) q[1]; h q[1]; h q[2]; rz(0.1014) q[2]; h q[2]; h q[3]; rz(0.1014) q[3]; h q[3]; h q[4]; rz(0.1014) q[4]; h q[4]; h q[5]; rz(0.1014) q[5]; h q[5]; h q[6]; rz(0.1014) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x2) q[2]; cx q[0], q[2]; cx q[0], q[6]; rz(x3) q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(x2) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x4) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x4) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; rz(x5) q[1]; rz(x1) q[0]; rz(x6) q[2]; rz(x3) q[6]; rz(x3) q[3]; rz(x7) q[4]; rz(x0) q[5]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; cx q[1], q[0]; rz(x9) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x10) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x11) q[2]; cx q[0], q[2]; cx q[0], q[6]; rz(x12) q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(x11) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(x9) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; rz(x13) q[1]; rz(x10) q[0]; rz(x14) q[2]; rz(x12) q[6]; rz(x12) q[3]; rz(x15) q[4]; rz(x9) q[5]; h q[0]; rz(x16) q[0]; h q[0]; h q[1]; rz(x16) q[1]; h q[1]; h q[2]; rz(x16) q[2]; h q[2]; h q[3]; rz(x16) q[3]; h q[3]; h q[4]; rz(x16) q[4]; h q[4]; h q[5]; rz(x16) q[5]; h q[5]; h q[6]; rz(x16) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
024eb4eb919bdf65c57ab94cec1f06e3
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"source": 5, "target": 6}]}
{"states": [29, 21], "expectation_value": -0.04243322095067281, "params": [[0.0325], [-0.021500000000000002]], "bitstrings": ["1100010", "1101010"], "total_optimization_steps": 10, "probabilities": [0.007976386144194122, 0.007977270889166634], "optimization_time": 1.4342751502990723}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6)
1
7
1
{"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1110010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(0.0325) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0325) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0325) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.0325) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0325) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.0325) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0325) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.0325) q[4]; cx q[0], q[4]; cx q[2], q[5]; rz(0.0325) q[5]; cx q[2], q[5]; cx q[4], q[5]; rz(0.0325) q[5]; cx q[4], q[5]; cx q[5], q[6]; rz(0.0325) q[6]; cx q[5], q[6]; rz(-0.0975) q[1]; rz(-0.0975) q[0]; rz(-0.0975) q[2]; rz(-0.065) q[3]; rz(-0.065) q[4]; rz(-0.065) q[5]; rz(0) q[6]; h q[0]; rz(-0.043) q[0]; h q[0]; h q[1]; rz(-0.043) q[1]; h q[1]; h q[2]; rz(-0.043) q[2]; h q[2]; h q[3]; rz(-0.043) q[3]; h q[3]; h q[4]; rz(-0.043) q[4]; h q[4]; h q[5]; rz(-0.043) q[5]; h q[5]; h q[6]; rz(-0.043) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; rz(x1) q[1]; rz(x1) q[0]; rz(x1) q[2]; rz(x2) q[3]; rz(x2) q[4]; rz(x2) q[5]; rz(x3) q[6]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; h q[6]; rz(x4) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
a4c9222a5b9b1eb79ad1a9b8af6d1a47
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 5, "target": 6}]}
{"states": [54, 214], "expectation_value": -1.1583019712912672, "params": [[[0.3789, 0.7147, 0.0081, 0.0076], [0.028800000000000003, 0.7146, 0.6886, 0.0007], [0.7913, -0.0038, 0.7956000000000001, 0.0076], [0.8096, -0.0027, 0.801, 0.0046], [0.7953, 0.0037, 0.7932, 0.0046], [0.8112, 0.00030000000000000003, 0.8016000000000001, 0.0028], [0.8069000000000001, -0.0038, 0.8064, 0.0025], [0.802, 0.0002, 0.8061, 0.003], [-0.0034000000000000002, 0.0091, 0.009000000000000001, 0.0026000000000000003]]], "bitstrings": ["111001001", "100101001"], "total_optimization_steps": 80, "probabilities": [0.04436572010231507, 0.048033463414755326], "optimization_time": 3.9168522357940674}
0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(0) @ Z(4)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(7) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + -0.75 * Z(8)
11
9
1
{"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011001", "101000011", "010011001", "101100001", "010100101", "100101001", "100100101", "101001001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; ry(0.3789) q[0]; rz(0.7147) q[0]; ry(0.0288) q[1]; rz(0.7146) q[1]; ry(0.7913) q[2]; rz(-0.0038) q[2]; ry(0.8096) q[3]; rz(-0.0027) q[3]; ry(0.7953) q[4]; rz(0.0037) q[4]; ry(0.8112) q[5]; rz(0.0003) q[5]; ry(0.8069) q[6]; rz(-0.0038) q[6]; ry(0.802) q[7]; rz(0.0002) q[7]; ry(-0.0034) q[8]; rz(0.0091) q[8]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; ry(0.6886) q[1]; rz(0.0007) q[1]; ry(0.7956) q[2]; rz(0.0076) q[2]; cx q[2], q[1]; ry(0.801) q[3]; rz(0.0046) q[3]; ry(0.7932) q[4]; rz(0.0046) q[4]; cx q[4], q[3]; ry(0.8016) q[5]; rz(0.0028) q[5]; ry(0.8064) q[6]; rz(0.0025) q[6]; cx q[6], q[5]; ry(0.8061) q[7]; rz(0.003) q[7]; cx q[8], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; ry(x0) q[0]; rz(x1) q[0]; ry(x2) q[1]; rz(x3) q[1]; ry(x4) q[2]; rz(x5) q[2]; ry(x6) q[3]; rz(x7) q[3]; ry(x8) q[4]; rz(x9) q[4]; ry(x10) q[5]; rz(x11) q[5]; ry(x12) q[6]; rz(x5) q[6]; ry(x13) q[7]; rz(x14) q[7]; ry(x15) q[8]; rz(x16) q[8]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; ry(x17) q[1]; rz(x18) q[1]; ry(x19) q[2]; rz(x20) q[2]; cx q[2], q[1]; ry(x21) q[3]; rz(x22) q[3]; ry(x23) q[4]; rz(x22) q[4]; cx q[4], q[3]; ry(x24) q[5]; rz(x25) q[5]; ry(x26) q[6]; rz(x27) q[6]; cx q[6], q[5]; ry(x28) q[7]; rz(x29) q[7]; cx q[8], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
b4abb288c03261a7332dab8c58ac7f10
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target": 9}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 8}, {"capacity": 4, "source": 2, "target": 9}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 8}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 2, "source": 4, "target": 8}, {"capacity": 2, "source": 5, "target": 3}, {"capacity": 1, "source": 5, "target": 4}, {"capacity": 2, "source": 6, "target": 8}, {"capacity": 4, "source": 7, "target": 1}, {"capacity": 2, "source": 7, "target": 3}, {"capacity": 2, "source": 7, "target": 6}, {"capacity": 2, "source": 8, "target": 1}, {"capacity": 4, "source": 8, "target": 4}, {"capacity": 1, "source": 8, "target": 9}]}
{"states": [213, 209], "expectation_value": -11.133163674684397, "params": null, "bitstrings": ["1100101010", "1100101110"], "total_optimization_steps": 71, "probabilities": [0.19524069973312266, 0.62146617523988], "optimization_time": 146.6081211566925}
-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.25 * Z(2) + -0.25 * Z(0) + -1.5 * Z(8) + 0.25 * Z(9) + -1.75 * Z(1) + 1.5 * Z(7) + 0.5 * Z(3) + -0.5 * Z(4) + -0.25 * Z(6) + 0.75 * Z(5)
1
10
1
{"smallest_eigenvalues": [-11.75, -11.75, -11.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000101010", "1100101010", "1100101110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; h q[9]; ry(-1.5708) q[1]; ry(-1.5708) q[8]; ry(-1.5708) q[4]; cry(-1.5708) q[9], q[0]; ry(0.9553) q[9]; ry(-0.5028) q[0]; ry(-1.5681) q[6]; cry(1.5017) q[9], q[2]; cry(0.3479) q[2], q[9]; ry(1.4449) q[5]; cry(1.5636) q[2], q[3]; cry(-0.1258) q[3], q[0]; cry(0.1257) q[3], q[5]; cry(0.0445) q[5], q[9]; cry(0.0537) q[3], q[2]; ry(-0.2639) q[7]; ry(-0.0744) q[3]; cry(0.0805) q[9], q[3]; cry(-0.0727) q[5], q[3]; cry(-0.2857) q[5], q[7]; cry(-0.1959) q[0], q[3]; cry(-0.2177) q[0], q[7]; cry(-0.0159) q[5], q[0]; ry(-0.0271) q[2]; cry(-0.1327) q[0], q[2]; cry(0.0661) q[7], q[3]; cry(0.0099) q[3], q[9]; cry(0.0103) q[5], q[2]; cry(-0.0262) q[0], q[9]; cry(-0.0027) q[5], q[6]; cry(0.0047) q[2], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"source": 0, "sink": 9}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n"], "gradients": [1.7339, 1.9769, 1.9984, 1.3798, 1.056, 1.0678, 0.9974, 0.594, 0.6994, 0.5016, 0.892, 0.2708, 0.1157, 0.0936, 0.0625, 0.0532, 0.0611, 0.0562, 0.0585, 0.06, 0.0459, 0.0468, 0.0394, 0.039, 0.0316, 0.0249, 0.0178, 0.0173, 0.0146, 0.0138, 0.0138, 0.0133, 0.0123, 0.0117, 0.0116, 0.0103, 0.0101, 0.01, 0.01, 0.0097, 0.0091, 0.0091, 0.0089, 0.0084, 0.008, 0.008, 0.0072, 0.007, 0.0067, 0.0067, 0.0064, 0.0064, 0.0063, 0.0062, 0.0059, 0.0059, 0.0059, 0.0049, 0.0048, 0.0041, 0.0041, 0.004, 0.004, 0.0039, 0.0036, 0.0036, 0.0036, 0.0036, 0.0036, 0.0033, 0.003]}
f06cfa431b1d21951bd72bdc4807e338
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [19, 27], "expectation_value": -0.5472741347921269, "params": [[0.0577, 0.0582, 0.0636], [-0.0497, -0.0531, -0.0522]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.02125922170378464, 0.023799569104103382], "optimization_time": 4.024612903594971}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1)
1
6
3
{"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[2], q[0]; rz(0.0577) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(0.0577) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(0.0577) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(0.0577) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(0.0577) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(0.0577) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(0.0577) q[1]; cx q[3], q[1]; rz(0) q[2]; rz(-0.1731) q[0]; rz(-0.1731) q[3]; rz(-0.0577) q[4]; rz(-0.0577) q[5]; rz(0) q[1]; h q[0]; rz(-0.0994) q[0]; h q[0]; h q[1]; rz(-0.0994) q[1]; h q[1]; h q[2]; rz(-0.0994) q[2]; h q[2]; h q[3]; rz(-0.0994) q[3]; h q[3]; h q[4]; rz(-0.0994) q[4]; h q[4]; h q[5]; rz(-0.0994) q[5]; h q[5]; cx q[2], q[0]; rz(0.0582) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(0.0582) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(0.0582) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(0.0582) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(0.0582) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(0.0582) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(0.0582) q[1]; cx q[3], q[1]; rz(0) q[2]; rz(-0.1746) q[0]; rz(-0.1746) q[3]; rz(-0.0582) q[4]; rz(-0.0582) q[5]; rz(0) q[1]; h q[0]; rz(-0.1062) q[0]; h q[0]; h q[1]; rz(-0.1062) q[1]; h q[1]; h q[2]; rz(-0.1062) q[2]; h q[2]; h q[3]; rz(-0.1062) q[3]; h q[3]; h q[4]; rz(-0.1062) q[4]; h q[4]; h q[5]; rz(-0.1062) q[5]; h q[5]; cx q[2], q[0]; rz(0.0636) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(0.0636) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(0.0636) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(0.0636) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(0.0636) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(0.0636) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(0.0636) q[1]; cx q[3], q[1]; rz(0) q[2]; rz(-0.1908) q[0]; rz(-0.1908) q[3]; rz(-0.0636) q[4]; rz(-0.0636) q[5]; rz(0) q[1]; h q[0]; rz(-0.1044) q[0]; h q[0]; h q[1]; rz(-0.1044) q[1]; h q[1]; h q[2]; rz(-0.1044) q[2]; h q[2]; h q[3]; rz(-0.1044) q[3]; h q[3]; h q[4]; rz(-0.1044) q[4]; h q[4]; h q[5]; rz(-0.1044) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(x0) q[1]; cx q[3], q[1]; rz(x1) q[2]; rz(x2) q[0]; rz(x2) q[3]; rz(x3) q[4]; rz(x3) q[5]; rz(x1) q[1]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; cx q[2], q[0]; rz(x5) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x5) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(x5) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x5) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(x5) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(x5) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(x5) q[1]; cx q[3], q[1]; rz(x1) q[2]; rz(x6) q[0]; rz(x6) q[3]; rz(x7) q[4]; rz(x7) q[5]; rz(x1) q[1]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; cx q[2], q[0]; rz(x9) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x9) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(x9) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x9) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(x9) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(x9) q[1]; cx q[3], q[1]; rz(x1) q[2]; rz(x10) q[0]; rz(x10) q[3]; rz(x11) q[4]; rz(x11) q[5]; rz(x1) q[1]; h q[0]; rz(x12) q[0]; h q[0]; h q[1]; rz(x12) q[1]; h q[1]; h q[2]; rz(x12) q[2]; h q[2]; h q[3]; rz(x12) q[3]; h q[3]; h q[4]; rz(x12) q[4]; h q[4]; h q[5]; rz(x12) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
a580428593ca2a54e0f078f27f8703fa
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 7}, {"capacity": 4, "source": 3, "target": 4}, {"capacity": 5, "source": 3, "target": 6}, {"capacity": 5, "source": 4, "target": 6}, {"capacity": 5, "source": 5, "target": 3}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 1, "source": 5, "target": 7}]}
{"states": [117, 125], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10001010", "10000010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 45.35703802108765}
-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 1.25 * Z(1) + 0.0 * Z(3) + 1.5 * Z(5) + 0.25 * Z(4) + -3.0 * Z(6)
1
8
3
{"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; ry(-1.5709) q[6]; ry(1.5706) q[1]; cry(1.5708) q[1], q[5]; cry(1.5681) q[5], q[3]; cry(1.4449) q[3], q[2]; cry(1.4433) q[5], q[7]; cry(-1.4448) q[7], q[0]; ry(0.0903) q[7]; cry(-0.1223) q[5], q[0]; ry(0.1188) q[2]; cry(0.0001) q[5], q[1]; cry(0.0001) q[7], q[6]; cry(-0.0068) q[3], q[0]; cry(0.002) q[2], q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"source": 0, "sink": 7}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\ncry(0.002) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [2.985, 1.2564, 1.5062, 1.005, 0.5027, 0.4951, 0.4999, 0.0849, 0.0677, 0.0606, 0.0166, 0.0165, 0.0135, 0.0135, 0.0135, 0.0131, 0.0105, 0.0105, 0.0105, 0.0105, 0.0075, 0.0075, 0.0075, 0.0075, 0.0075, 0.0062, 0.006, 0.006, 0.006, 0.0058, 0.005, 0.005, 0.005, 0.0048, 0.0045, 0.0045, 0.0045, 0.0045, 0.004, 0.0038, 0.0037, 0.0037, 0.0034, 0.003, 0.003]}
52a084c3837e8103860964e17ff664ad
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 17, "source": 2, "target": 6}, {"weight": 5, "source": 4, "target": 5}, {"weight": 17, "source": 5, "target": 8}, {"weight": 16, "source": 5, "target": 6}, {"weight": 9, "source": 6, "target": 7}, {"weight": 13, "source": 6, "target": 8}]}
{"states": [171, 169], "expectation_value": -45.57186339411074, "params": [[[0.0063, 0.0037], [1.1724, 0.0009000000000000001], [0.0031000000000000003, 0.887], [1.1993, -0.0035], [0.1756, -0.5195000000000001], [1.1953, -0.0029000000000000002], [0.17600000000000002, -0.5057], [0.6914, 0.24730000000000002], [1.1999, -0.003]], [[-0.0025, 0.005], [1.1733, 0.0027], [0.0031000000000000003, 0.0077], [1.1974, 0.007500000000000001], [0.1738, 0.0009000000000000001], [1.2046000000000001, 0.006900000000000001], [0.1809, 0.0079], [0.6984, 0.0038], [1.2021000000000002, 0.0047]]], "bitstrings": ["101010100", "101010110"], "total_optimization_steps": 120, "probabilities": [0.21205151312422818, 0.31308552974325365], "optimization_time": 4.306939125061035}
5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * Z(1) + -9.5 * Z(0) + 6.5 * Z(3) + -8.0 * Z(2) + 12.0 * Z(5) + -2.5 * Z(4) + -3.5 * Z(6) + 8.5 * Z(8) + 5.5 * Z(7)
1
9
2
{"smallest_eigenvalues": [-60.0, -60.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -57.0, "smallest_bitstrings": ["111010110", "101010110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(0.0063) q[0]; rz(0.0037) q[0]; rx(1.1724) q[1]; rz(0.0009) q[1]; rx(0.0031) q[2]; rz(0.887) q[2]; rx(1.1993) q[3]; rz(-0.0035) q[3]; rx(0.1756) q[4]; rz(-0.5195) q[4]; rx(1.1953) q[5]; rz(-0.0029) q[5]; rx(0.176) q[6]; rz(-0.5057) q[6]; rx(0.6914) q[7]; rz(0.2473) q[7]; rx(1.1999) q[8]; rz(-0.003) q[8]; rx(-0.0025) q[0]; rz(0.005) q[0]; rx(1.1733) q[1]; rz(0.0027) q[1]; rx(0.0031) q[2]; rz(0.0077) q[2]; rx(1.1974) q[3]; rz(0.0075) q[3]; rx(0.1738) q[4]; rz(0.0009) q[4]; rx(1.2046) q[5]; rz(0.0069) q[5]; rx(0.1809) q[6]; rz(0.0079) q[6]; rx(0.6984) q[7]; rz(0.0038) q[7]; rx(1.2021) q[8]; rz(0.0047) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[0]; rz(x19) q[0]; rx(x20) q[1]; rz(x21) q[1]; rx(x4) q[2]; rz(x22) q[2]; rx(x23) q[3]; rz(x24) q[3]; rx(x25) q[4]; rz(x3) q[4]; rx(x26) q[5]; rz(x27) q[5]; rx(x28) q[6]; rz(x29) q[6]; rx(x30) q[7]; rz(x31) q[7]; rx(x32) q[8]; rz(x33) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum", "extra": "{\"n\": 9}"}
{"circuits": [], "gradients": []}
74f3db266dbfc29b2e3165b97e91cad0
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 6}, {"capacity": 3, "source": 3, "target": 6}, {"capacity": 5, "source": 4, "target": 1}, {"capacity": 5, "source": 4, "target": 2}, {"capacity": 6, "source": 5, "target": 2}, {"capacity": 3, "source": 5, "target": 3}]}
{"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 39.79528498649597}
-1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0.75 * Z(6) + 0.0 * Z(3) + 2.25 * Z(5)
1
7
3
{"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; ry(1.5708) q[5]; cry(-1.5708) q[5], q[1]; cry(-1.5708) q[6], q[0]; ry(0.9895) q[6]; cry(-0.0065) q[5], q[0]; ry(-0.0013) q[0]; cry(1.5704) q[5], q[3]; cry(-0.0003) q[3], q[0]; cry(-0.455) q[2], q[0]; cry(0.4267) q[2], q[6]; cry(-1.5646) q[6], q[4]; cry(-1.4896) q[3], q[2]; cry(-0.6289) q[0], q[6]; cry(0.0643) q[3], q[6]; cry(0.46) q[4], q[6]; cry(-0.0413) q[5], q[6]; cry(-0.0318) q[5], q[4]; cry(0.1883) q[4], q[0]; cry(-0.1247) q[6], q[2]; cry(0.0531) q[5], q[2]; cry(0.0566) q[0], q[2]; ry(-0.0225) q[2]; cry(-0.0019) q[3], q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"source": 0, "sink": 6}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [2.2579, 2.2354, 2.5062, 2.4649, 1.921, 1.8923, 1.1941, 1.8879, 0.8824, 0.972, 0.9035, 0.6067, 0.37, 0.1845, 0.1609, 0.1281, 0.0682, 0.058, 0.0563, 0.0348, 0.0276, 0.0212, 0.02, 0.0162, 0.0155, 0.015, 0.012, 0.0116, 0.0116, 0.0089, 0.0079, 0.0077, 0.0077, 0.0077, 0.0059, 0.0059, 0.0047, 0.0038, 0.0036, 0.0036, 0.0036, 0.0032, 0.0032, 0.0031, 0.0028]}
4700601e722e5f0a0c40acc2968ffc97
edge_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]}
{"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 24.810773849487305}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) + -0.25 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + 0.0 * Z(5)
1
6
1
{"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; ry(-1.5486) q[4]; cry(-1.3016) q[3], q[0]; ry(1.2944) q[1]; ry(1.0339) q[5]; cry(-0.9947) q[5], q[2]; ry(0.6605) q[3]; ry(-0.5012) q[2]; cry(0.4275) q[1], q[5]; cry(0.2526) q[5], q[1]; ry(-0.2509) q[0]; cry(0.4187) q[1], q[3]; cry(-0.341) q[1], q[0]; cry(0.2672) q[5], q[3]; cry(-0.1798) q[5], q[0]; cry(-0.1159) q[1], q[2]; cry(-0.0222) q[1], q[4]; cry(0.0448) q[3], q[5]; cry(-0.0505) q[0], q[3]; cry(0.0192) q[3], q[1]; cry(-0.0145) q[3], q[2]; cry(-0.0171) q[2], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\ncry(-0.0171) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\ncry(-0.0171) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\ncry(-0.0171) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n"], "gradients": [0.7522, 0.3772, 0.3698, 0.2483, 0.2388, 0.2406, 0.2379, 0.2122, 0.1293, 0.1137, 0.1899, 0.172, 0.1327, 0.0934, 0.0616, 0.0374, 0.021, 0.0114, 0.0088, 0.0075, 0.0059, 0.0044, 0.0036, 0.003, 0.0029]}
bd0739923e95a9ca3accc4a9b16c8fc7
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": 5, "target": 6}, {"source": 6, "target": 7}, {"source": 8, "target": 9}]}
{"states": [0, 483], "expectation_value": -10.729617628361082, "params": [-0.2828, 0.7995, 0.8319000000000001, 0.0061, 1.0111, 0.4748, -0.4172, 0.0081, 1.0133, 0.6778000000000001, -0.3274, 0.0029000000000000002, 1.0206, 1.0449, -0.1305, 0.0011, 0.0018000000000000002, 0.6494, 0.0014, 0.0073, -0.0049, 2.1873, -0.0046, 0.0089, 0.0025, 1.6135000000000002, 0.0023, 0.0092, 1.1273, 1.1608, -0.1246, 0.0014, 0.4748, 1.3892, 0.2015, 0.0028, -1.5735000000000001, 0.9880000000000001, 0.8727, 0.7501, 0.0012000000000000001, -0.0045000000000000005, 0.0024000000000000002, 0.6671, 0.7609], "bitstrings": ["111111111", "000011100"], "total_optimization_steps": 380, "probabilities": [0.26369837443776123, 0.3742664046122635], "optimization_time": 31.04642653465271}
-2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7)
6
9
1
{"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000011100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(-0.2828) q[0]; rz(0.7995) q[0]; rx(1.0111) q[1]; rz(0.4748) q[1]; rx(1.0133) q[2]; rz(0.6778) q[2]; rx(1.0206) q[3]; rz(1.0449) q[3]; rx(0.0018) q[4]; rz(0.6494) q[4]; rx(-0.0049) q[5]; rz(2.1873) q[5]; rx(0.0025) q[6]; rz(1.6135) q[6]; rx(1.1273) q[7]; rz(1.1608) q[7]; rx(0.4748) q[8]; rz(1.3892) q[8]; crx(0.6671) q[8], q[7]; crx(0.0024) q[8], q[6]; crx(-0.0045) q[8], q[5]; crx(0.0012) q[8], q[4]; crx(0.7501) q[8], q[3]; crx(0.8727) q[8], q[2]; crx(0.988) q[8], q[1]; crx(-1.5735) q[8], q[0]; crx(0.7609) q[7], q[8]; crx(0.0024) q[7], q[6]; crx(-0.0045) q[7], q[5]; crx(0.0012) q[7], q[4]; crx(0.7501) q[7], q[3]; crx(0.8727) q[7], q[2]; crx(0.988) q[7], q[1]; crx(-1.5735) q[7], q[0]; crx(0.7609) q[6], q[8]; crx(0.6671) q[6], q[7]; crx(-0.0045) q[6], q[5]; crx(0.0012) q[6], q[4]; crx(0.7501) q[6], q[3]; crx(0.8727) q[6], q[2]; crx(0.988) q[6], q[1]; crx(-1.5735) q[6], q[0]; crx(0.7609) q[5], q[8]; crx(0.6671) q[5], q[7]; crx(0.0024) q[5], q[6]; crx(0.0012) q[5], q[4]; crx(0.7501) q[5], q[3]; crx(0.8727) q[5], q[2]; crx(0.988) q[5], q[1]; crx(-1.5735) q[5], q[0]; crx(0.7609) q[4], q[8]; crx(0.6671) q[4], q[7]; crx(0.0024) q[4], q[6]; crx(-0.0045) q[4], q[5]; crx(0.7501) q[4], q[3]; crx(0.8727) q[4], q[2]; crx(0.988) q[4], q[1]; crx(-1.5735) q[4], q[0]; crx(0.7609) q[3], q[8]; crx(0.6671) q[3], q[7]; crx(0.0024) q[3], q[6]; crx(-0.0045) q[3], q[5]; crx(0.0012) q[3], q[4]; crx(0.8727) q[3], q[2]; crx(0.988) q[3], q[1]; crx(-1.5735) q[3], q[0]; crx(0.7609) q[2], q[8]; crx(0.6671) q[2], q[7]; crx(0.0024) q[2], q[6]; crx(-0.0045) q[2], q[5]; crx(0.0012) q[2], q[4]; crx(0.7501) q[2], q[3]; crx(0.988) q[2], q[1]; crx(-1.5735) q[2], q[0]; crx(0.7609) q[1], q[8]; crx(0.6671) q[1], q[7]; crx(0.0024) q[1], q[6]; crx(-0.0045) q[1], q[5]; crx(0.0012) q[1], q[4]; crx(0.7501) q[1], q[3]; crx(0.8727) q[1], q[2]; crx(-1.5735) q[1], q[0]; crx(0.7609) q[0], q[8]; crx(0.6671) q[0], q[7]; crx(0.0024) q[0], q[6]; crx(-0.0045) q[0], q[5]; crx(0.0012) q[0], q[4]; crx(0.7501) q[0], q[3]; crx(0.8727) q[0], q[2]; crx(0.988) q[0], q[1]; rx(0.8319) q[0]; rz(0.0061) q[0]; rx(-0.4172) q[1]; rz(0.0081) q[1]; rx(-0.3274) q[2]; rz(0.0029) q[2]; rx(-0.1305) q[3]; rz(0.0011) q[3]; rx(0.0014) q[4]; rz(0.0073) q[4]; rx(-0.0046) q[5]; rz(0.0089) q[5]; rx(0.0023) q[6]; rz(0.0092) q[6]; rx(-0.1246) q[7]; rz(0.0014) q[7]; rx(0.2015) q[8]; rz(0.0028) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x3) q[8]; rz(x16) q[8]; crx(x17) q[8], q[7]; crx(x18) q[8], q[6]; crx(x19) q[8], q[5]; crx(x20) q[8], q[4]; crx(x21) q[8], q[3]; crx(x22) q[8], q[2]; crx(x23) q[8], q[1]; crx(x24) q[8], q[0]; crx(x25) q[7], q[8]; crx(x18) q[7], q[6]; crx(x19) q[7], q[5]; crx(x20) q[7], q[4]; crx(x21) q[7], q[3]; crx(x22) q[7], q[2]; crx(x23) q[7], q[1]; crx(x24) q[7], q[0]; crx(x25) q[6], q[8]; crx(x17) q[6], q[7]; crx(x19) q[6], q[5]; crx(x20) q[6], q[4]; crx(x21) q[6], q[3]; crx(x22) q[6], q[2]; crx(x23) q[6], q[1]; crx(x24) q[6], q[0]; crx(x25) q[5], q[8]; crx(x17) q[5], q[7]; crx(x18) q[5], q[6]; crx(x20) q[5], q[4]; crx(x21) q[5], q[3]; crx(x22) q[5], q[2]; crx(x23) q[5], q[1]; crx(x24) q[5], q[0]; crx(x25) q[4], q[8]; crx(x17) q[4], q[7]; crx(x18) q[4], q[6]; crx(x19) q[4], q[5]; crx(x21) q[4], q[3]; crx(x22) q[4], q[2]; crx(x23) q[4], q[1]; crx(x24) q[4], q[0]; crx(x25) q[3], q[8]; crx(x17) q[3], q[7]; crx(x18) q[3], q[6]; crx(x19) q[3], q[5]; crx(x20) q[3], q[4]; crx(x22) q[3], q[2]; crx(x23) q[3], q[1]; crx(x24) q[3], q[0]; crx(x25) q[2], q[8]; crx(x17) q[2], q[7]; crx(x18) q[2], q[6]; crx(x19) q[2], q[5]; crx(x20) q[2], q[4]; crx(x21) q[2], q[3]; crx(x23) q[2], q[1]; crx(x24) q[2], q[0]; crx(x25) q[1], q[8]; crx(x17) q[1], q[7]; crx(x18) q[1], q[6]; crx(x19) q[1], q[5]; crx(x20) q[1], q[4]; crx(x21) q[1], q[3]; crx(x22) q[1], q[2]; crx(x24) q[1], q[0]; crx(x25) q[0], q[8]; crx(x17) q[0], q[7]; crx(x18) q[0], q[6]; crx(x19) q[0], q[5]; crx(x20) q[0], q[4]; crx(x21) q[0], q[3]; crx(x22) q[0], q[2]; crx(x23) q[0], q[1]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x34) q[7]; rx(x41) q[8]; rz(x42) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 6}
{"circuits": [], "gradients": []}
1d579e37a468bd880bcb1092848cc668
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1}, {"capacity": 4, "source": 4, "target": 2}, {"capacity": 4, "source": 5, "target": 3}]}
{"states": [53, 39], "expectation_value": -5.123520434733628, "params": null, "bitstrings": ["1001010", "1011000"], "total_optimization_steps": 28, "probabilities": [0.10938285524458996, 0.1093833937372856], "optimization_time": 18.330240726470947}
-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5)
1
7
3
{"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "1101010", "1100000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; ry(1.5708) q[4]; cry(-1.5708) q[4], q[3]; cry(-1.4449) q[6], q[0]; ry(1.0628) q[6]; cry(-0.5677) q[4], q[0]; cry(0.3571) q[4], q[6]; ry(-0.2002) q[0]; cry(0.1182) q[1], q[6]; cry(-0.0296) q[5], q[0]; cry(0.0384) q[5], q[6]; cry(-0.0419) q[1], q[0]; cry(0.0235) q[2], q[6]; cry(-0.0252) q[2], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"source": 0, "sink": 6}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [2.007, 1.991, 0.5007, 0.6812, 0.4758, 0.3186, 0.1882, 0.0771, 0.0162, 0.0184, 0.0157, 0.0111, 0.0133, 0.008, 0.008, 0.006, 0.006, 0.006, 0.0053, 0.0053, 0.0052, 0.0045, 0.0037, 0.0035, 0.0035, 0.0035, 0.0035, 0.0027]}
9313084cc492e2aab2fbf1a94b6f25bf
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 3, "target": 5}, {"capacity": 2, "source": 3, "target": 7}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 2, "source": 4, "target": 2}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 1, "source": 5, "target": 6}, {"capacity": 1, "source": 6, "target": 2}]}
{"states": [127, 95], "expectation_value": -0.1557742943111478, "params": [[-0.0568, 0.0604], [0.0745, -0.0245]], "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 10, "probabilities": [0.0044598968752590645, 0.004466641061631437], "optimization_time": 3.2125816345214844}
-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.75 * Z(6) + 0.5 * Z(1) + 0.0 * Z(7) + 0.0 * Z(5) + 1.25 * Z(4)
1
8
2
{"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10100000", "10100010", "10110110", "10100110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(0.0284) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(0.0568) q[3]; cx q[0], q[3]; cx q[2], q[6]; rz(0.0284) q[6]; cx q[2], q[6]; cx q[6], q[1]; rz(0.0568) q[1]; cx q[6], q[1]; cx q[0], q[7]; rz(-0.1136) q[7]; cx q[0], q[7]; cx q[3], q[7]; rz(0.0568) q[7]; cx q[3], q[7]; cx q[1], q[7]; rz(0.0568) q[7]; cx q[1], q[7]; cx q[3], q[5]; rz(0.0284) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(0.0284) q[5]; cx q[6], q[5]; cx q[2], q[4]; rz(0.0568) q[4]; cx q[2], q[4]; cx q[6], q[4]; rz(0.0284) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(0.0568) q[4]; cx q[1], q[4]; rz(0.1136) q[2]; rz(0.0284) q[0]; rz(-0.0284) q[3]; rz(0.0852) q[6]; rz(-0.0568) q[1]; rz(0) q[7]; rz(0) q[5]; rz(-0.142) q[4]; h q[0]; rz(0.149) q[0]; h q[0]; h q[1]; rz(0.149) q[1]; h q[1]; h q[2]; rz(0.149) q[2]; h q[2]; h q[3]; rz(0.149) q[3]; h q[3]; h q[4]; rz(0.149) q[4]; h q[4]; h q[5]; rz(0.149) q[5]; h q[5]; h q[6]; rz(0.149) q[6]; h q[6]; h q[7]; rz(0.149) q[7]; h q[7]; cx q[2], q[0]; rz(-0.0302) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(-0.0604) q[3]; cx q[0], q[3]; cx q[2], q[6]; rz(-0.0302) q[6]; cx q[2], q[6]; cx q[6], q[1]; rz(-0.0604) q[1]; cx q[6], q[1]; cx q[0], q[7]; rz(0.1208) q[7]; cx q[0], q[7]; cx q[3], q[7]; rz(-0.0604) q[7]; cx q[3], q[7]; cx q[1], q[7]; rz(-0.0604) q[7]; cx q[1], q[7]; cx q[3], q[5]; rz(-0.0302) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(-0.0302) q[5]; cx q[6], q[5]; cx q[2], q[4]; rz(-0.0604) q[4]; cx q[2], q[4]; cx q[6], q[4]; rz(-0.0302) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(-0.0604) q[4]; cx q[1], q[4]; rz(-0.1208) q[2]; rz(-0.0302) q[0]; rz(0.0302) q[3]; rz(-0.0906) q[6]; rz(0.0604) q[1]; rz(0) q[7]; rz(0) q[5]; rz(0.151) q[4]; h q[0]; rz(-0.049) q[0]; h q[0]; h q[1]; rz(-0.049) q[1]; h q[1]; h q[2]; rz(-0.049) q[2]; h q[2]; h q[3]; rz(-0.049) q[3]; h q[3]; h q[4]; rz(-0.049) q[4]; h q[4]; h q[5]; rz(-0.049) q[5]; h q[5]; h q[6]; rz(-0.049) q[6]; h q[6]; h q[7]; rz(-0.049) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x1) q[3]; cx q[0], q[3]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[6], q[1]; rz(x1) q[1]; cx q[6], q[1]; cx q[0], q[7]; rz(x2) q[7]; cx q[0], q[7]; cx q[3], q[7]; rz(x1) q[7]; cx q[3], q[7]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; cx q[2], q[4]; rz(x1) q[4]; cx q[2], q[4]; cx q[6], q[4]; rz(x0) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; rz(x3) q[2]; rz(x0) q[0]; rz(x4) q[3]; rz(x5) q[6]; rz(x6) q[1]; rz(x7) q[7]; rz(x7) q[5]; rz(x8) q[4]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; cx q[2], q[0]; rz(x10) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x11) q[3]; cx q[0], q[3]; cx q[2], q[6]; rz(x10) q[6]; cx q[2], q[6]; cx q[6], q[1]; rz(x11) q[1]; cx q[6], q[1]; cx q[0], q[7]; rz(x12) q[7]; cx q[0], q[7]; cx q[3], q[7]; rz(x11) q[7]; cx q[3], q[7]; cx q[1], q[7]; rz(x11) q[7]; cx q[1], q[7]; cx q[3], q[5]; rz(x10) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(x10) q[5]; cx q[6], q[5]; cx q[2], q[4]; rz(x11) q[4]; cx q[2], q[4]; cx q[6], q[4]; rz(x10) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(x11) q[4]; cx q[1], q[4]; rz(x13) q[2]; rz(x10) q[0]; rz(x14) q[3]; rz(x15) q[6]; rz(x16) q[1]; rz(x7) q[7]; rz(x7) q[5]; rz(x17) q[4]; h q[0]; rz(x18) q[0]; h q[0]; h q[1]; rz(x18) q[1]; h q[1]; h q[2]; rz(x18) q[2]; h q[2]; h q[3]; rz(x18) q[3]; h q[3]; h q[4]; rz(x18) q[4]; h q[4]; h q[5]; rz(x18) q[5]; h q[5]; h q[6]; rz(x18) q[6]; h q[6]; h q[7]; rz(x18) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
de837449b9b1ac221f958aa18f8b69de
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]}
{"states": [97, 103], "expectation_value": -6.0225274508961375, "params": [-0.08750000000000001, 0.9768, 0.41390000000000005, 0.9807, -0.036500000000000005, 0.9098, 0.5894, 0.9367000000000001, 0.0067, 0.4199, -0.0211, 0.7534000000000001, 0.002, 0.442, 0.0073, 0.5621, -0.7454000000000001, 0.8189000000000001, 0.2169, 1.1765, -0.9637, 0.7112, -0.7567, 0.39990000000000003, -0.0349, -0.23450000000000001, 0.0884, 0.7106, 0.5805, 0.8917, 0.9439000000000001, -0.45380000000000004, 0.5167, 0.809, 1.0217, -0.3914, 0.0103, 0.8706, 0.0123, 0.7787000000000001, -0.034300000000000004, 0.8184, 0.11850000000000001, 0.2504, -0.2099, 0.8462000000000001, 0.5439, 0.29050000000000004, -0.6428, 0.7338, 0.2661, 0.9367000000000001, 0.0555, 0.6273000000000001, 0.4405, 0.3395, 0.9293, -0.454, -0.1096, 0.0064, 0.9883000000000001, -0.7387, -0.5113, 0.0086, -0.0213, 0.4767, 0.0061, 0.0002, -0.0666, 0.3276, -0.0056, 0.0015, 0.5147, 0.2248, -0.6031000000000001, 0.0097, 0.7265, 0.7134, -0.1466, 0.0054, 0.1877, 0.5063, -0.768, 0.0045000000000000005, -0.26030000000000003, -0.1834, 0.0055000000000000005, 0.019200000000000002, 0.7824, 0.9336000000000001, 0.81, -0.14750000000000002, -0.041100000000000005, -0.0102, -0.002, -0.5253, -0.083, -0.6472, 0.5282, 0.7121000000000001, 0.0037, 0.0016, -0.8162, -0.2589, -0.3372], "bitstrings": ["0011110", "0011000"], "total_optimization_steps": 200, "probabilities": [0.09943614302773328, 0.6221396011327616], "optimization_time": 44.887317419052124}
-1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6)
6
7
3
{"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; rx(-0.0875) q[0]; rz(0.9768) q[0]; rx(-0.0365) q[1]; rz(0.9098) q[1]; rx(0.0067) q[2]; rz(0.4199) q[2]; rx(0.002) q[3]; rz(0.442) q[3]; rx(-0.7454) q[4]; rz(0.8189) q[4]; rx(-0.9637) q[5]; rz(0.7112) q[5]; rx(-0.0349) q[6]; rz(-0.2345) q[6]; crx(0.9336) q[6], q[5]; crx(0.7824) q[6], q[4]; crx(0.0192) q[6], q[3]; crx(0.0055) q[6], q[2]; crx(-0.1834) q[6], q[1]; crx(-0.2603) q[6], q[0]; crx(0.81) q[5], q[6]; crx(0.7824) q[5], q[4]; crx(0.0192) q[5], q[3]; crx(0.0055) q[5], q[2]; crx(-0.1834) q[5], q[1]; crx(-0.2603) q[5], q[0]; crx(0.81) q[4], q[6]; crx(0.9336) q[4], q[5]; crx(0.0192) q[4], q[3]; crx(0.0055) q[4], q[2]; crx(-0.1834) q[4], q[1]; crx(-0.2603) q[4], q[0]; crx(0.81) q[3], q[6]; crx(0.9336) q[3], q[5]; crx(0.7824) q[3], q[4]; crx(0.0055) q[3], q[2]; crx(-0.1834) q[3], q[1]; crx(-0.2603) q[3], q[0]; crx(0.81) q[2], q[6]; crx(0.9336) q[2], q[5]; crx(0.7824) q[2], q[4]; crx(0.0192) q[2], q[3]; crx(-0.1834) q[2], q[1]; crx(-0.2603) q[2], q[0]; crx(0.81) q[1], q[6]; crx(0.9336) q[1], q[5]; crx(0.7824) q[1], q[4]; crx(0.0192) q[1], q[3]; crx(0.0055) q[1], q[2]; crx(-0.2603) q[1], q[0]; crx(0.81) q[0], q[6]; crx(0.9336) q[0], q[5]; crx(0.7824) q[0], q[4]; crx(0.0192) q[0], q[3]; crx(0.0055) q[0], q[2]; crx(-0.1834) q[0], q[1]; rx(0.4139) q[0]; rz(0.9807) q[0]; rx(0.5894) q[1]; rz(0.9367) q[1]; rx(-0.0211) q[2]; rz(0.7534) q[2]; rx(0.0073) q[3]; rz(0.5621) q[3]; rx(0.2169) q[4]; rz(1.1765) q[4]; rx(-0.7567) q[5]; rz(0.3999) q[5]; rx(0.0884) q[6]; rz(0.7106) q[6]; rx(0.5805) q[0]; rz(0.8917) q[0]; rx(0.5167) q[1]; rz(0.809) q[1]; rx(0.0103) q[2]; rz(0.8706) q[2]; rx(-0.0343) q[3]; rz(0.8184) q[3]; rx(-0.2099) q[4]; rz(0.8462) q[4]; rx(-0.6428) q[5]; rz(0.7338) q[5]; rx(0.0555) q[6]; rz(0.6273) q[6]; crx(-0.083) q[6], q[5]; crx(-0.5253) q[6], q[4]; crx(-0.002) q[6], q[3]; crx(-0.0102) q[6], q[2]; crx(-0.0411) q[6], q[1]; crx(-0.1475) q[6], q[0]; crx(-0.6472) q[5], q[6]; crx(-0.5253) q[5], q[4]; crx(-0.002) q[5], q[3]; crx(-0.0102) q[5], q[2]; crx(-0.0411) q[5], q[1]; crx(-0.1475) q[5], q[0]; crx(-0.6472) q[4], q[6]; crx(-0.083) q[4], q[5]; crx(-0.002) q[4], q[3]; crx(-0.0102) q[4], q[2]; crx(-0.0411) q[4], q[1]; crx(-0.1475) q[4], q[0]; crx(-0.6472) q[3], q[6]; crx(-0.083) q[3], q[5]; crx(-0.5253) q[3], q[4]; crx(-0.0102) q[3], q[2]; crx(-0.0411) q[3], q[1]; crx(-0.1475) q[3], q[0]; crx(-0.6472) q[2], q[6]; crx(-0.083) q[2], q[5]; crx(-0.5253) q[2], q[4]; crx(-0.002) q[2], q[3]; crx(-0.0411) q[2], q[1]; crx(-0.1475) q[2], q[0]; crx(-0.6472) q[1], q[6]; crx(-0.083) q[1], q[5]; crx(-0.5253) q[1], q[4]; crx(-0.002) q[1], q[3]; crx(-0.0102) q[1], q[2]; crx(-0.1475) q[1], q[0]; crx(-0.6472) q[0], q[6]; crx(-0.083) q[0], q[5]; crx(-0.5253) q[0], q[4]; crx(-0.002) q[0], q[3]; crx(-0.0102) q[0], q[2]; crx(-0.0411) q[0], q[1]; rx(0.9439) q[0]; rz(-0.4538) q[0]; rx(1.0217) q[1]; rz(-0.3914) q[1]; rx(0.0123) q[2]; rz(0.7787) q[2]; rx(0.1185) q[3]; rz(0.2504) q[3]; rx(0.5439) q[4]; rz(0.2905) q[4]; rx(0.2661) q[5]; rz(0.9367) q[5]; rx(0.4405) q[6]; rz(0.3395) q[6]; rx(0.9293) q[0]; rz(-0.454) q[0]; rx(0.9883) q[1]; rz(-0.7387) q[1]; rx(-0.0213) q[2]; rz(0.4767) q[2]; rx(-0.0666) q[3]; rz(0.3276) q[3]; rx(0.5147) q[4]; rz(0.2248) q[4]; rx(0.7265) q[5]; rz(0.7134) q[5]; rx(0.1877) q[6]; rz(0.5063) q[6]; crx(-0.2589) q[6], q[5]; crx(-0.8162) q[6], q[4]; crx(0.0016) q[6], q[3]; crx(0.0037) q[6], q[2]; crx(0.7121) q[6], q[1]; crx(0.5282) q[6], q[0]; crx(-0.3372) q[5], q[6]; crx(-0.8162) q[5], q[4]; crx(0.0016) q[5], q[3]; crx(0.0037) q[5], q[2]; crx(0.7121) q[5], q[1]; crx(0.5282) q[5], q[0]; crx(-0.3372) q[4], q[6]; crx(-0.2589) q[4], q[5]; crx(0.0016) q[4], q[3]; crx(0.0037) q[4], q[2]; crx(0.7121) q[4], q[1]; crx(0.5282) q[4], q[0]; crx(-0.3372) q[3], q[6]; crx(-0.2589) q[3], q[5]; crx(-0.8162) q[3], q[4]; crx(0.0037) q[3], q[2]; crx(0.7121) q[3], q[1]; crx(0.5282) q[3], q[0]; crx(-0.3372) q[2], q[6]; crx(-0.2589) q[2], q[5]; crx(-0.8162) q[2], q[4]; crx(0.0016) q[2], q[3]; crx(0.7121) q[2], q[1]; crx(0.5282) q[2], q[0]; crx(-0.3372) q[1], q[6]; crx(-0.2589) q[1], q[5]; crx(-0.8162) q[1], q[4]; crx(0.0016) q[1], q[3]; crx(0.0037) q[1], q[2]; crx(0.5282) q[1], q[0]; crx(-0.3372) q[0], q[6]; crx(-0.2589) q[0], q[5]; crx(-0.8162) q[0], q[4]; crx(0.0016) q[0], q[3]; crx(0.0037) q[0], q[2]; crx(0.7121) q[0], q[1]; rx(-0.1096) q[0]; rz(0.0064) q[0]; rx(-0.5113) q[1]; rz(0.0086) q[1]; rx(0.0061) q[2]; rz(0.0002) q[2]; rx(-0.0056) q[3]; rz(0.0015) q[3]; rx(-0.6031) q[4]; rz(0.0097) q[4]; rx(-0.1466) q[5]; rz(0.0054) q[5]; rx(-0.768) q[6]; rz(0.0045) q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[7] c; qubit[7] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; crx(x14) q[6], q[5]; crx(x15) q[6], q[4]; crx(x16) q[6], q[3]; crx(x17) q[6], q[2]; crx(x18) q[6], q[1]; crx(x19) q[6], q[0]; crx(x20) q[5], q[6]; crx(x15) q[5], q[4]; crx(x16) q[5], q[3]; crx(x17) q[5], q[2]; crx(x18) q[5], q[1]; crx(x19) q[5], q[0]; crx(x20) q[4], q[6]; crx(x14) q[4], q[5]; crx(x16) q[4], q[3]; crx(x17) q[4], q[2]; crx(x18) q[4], q[1]; crx(x19) q[4], q[0]; crx(x20) q[3], q[6]; crx(x14) q[3], q[5]; crx(x15) q[3], q[4]; crx(x17) q[3], q[2]; crx(x18) q[3], q[1]; crx(x19) q[3], q[0]; crx(x20) q[2], q[6]; crx(x14) q[2], q[5]; crx(x15) q[2], q[4]; crx(x16) q[2], q[3]; crx(x18) q[2], q[1]; crx(x19) q[2], q[0]; crx(x20) q[1], q[6]; crx(x14) q[1], q[5]; crx(x15) q[1], q[4]; crx(x16) q[1], q[3]; crx(x17) q[1], q[2]; crx(x19) q[1], q[0]; crx(x20) q[0], q[6]; crx(x14) q[0], q[5]; crx(x15) q[0], q[4]; crx(x16) q[0], q[3]; crx(x17) q[0], q[2]; crx(x18) q[0], q[1]; rx(x21) q[0]; rz(x22) q[0]; rx(x23) q[1]; rz(x24) q[1]; rx(x25) q[2]; rz(x26) q[2]; rx(x27) q[3]; rz(x28) q[3]; rx(x29) q[4]; rz(x30) q[4]; rx(x31) q[5]; rz(x32) q[5]; rx(x33) q[6]; rz(x34) q[6]; rx(x35) q[0]; rz(x36) q[0]; rx(x37) q[1]; rz(x38) q[1]; rx(x39) q[2]; rz(x40) q[2]; rx(x41) q[3]; rz(x42) q[3]; rx(x43) q[4]; rz(x44) q[4]; rx(x45) q[5]; rz(x46) q[5]; rx(x47) q[6]; rz(x48) q[6]; crx(x49) q[6], q[5]; crx(x50) q[6], q[4]; crx(x51) q[6], q[3]; crx(x52) q[6], q[2]; crx(x53) q[6], q[1]; crx(x54) q[6], q[0]; crx(x55) q[5], q[6]; crx(x50) q[5], q[4]; crx(x51) q[5], q[3]; crx(x52) q[5], q[2]; crx(x53) q[5], q[1]; crx(x54) q[5], q[0]; crx(x55) q[4], q[6]; crx(x49) q[4], q[5]; crx(x51) q[4], q[3]; crx(x52) q[4], q[2]; crx(x53) q[4], q[1]; crx(x54) q[4], q[0]; crx(x55) q[3], q[6]; crx(x49) q[3], q[5]; crx(x50) q[3], q[4]; crx(x52) q[3], q[2]; crx(x53) q[3], q[1]; crx(x54) q[3], q[0]; crx(x55) q[2], q[6]; crx(x49) q[2], q[5]; crx(x50) q[2], q[4]; crx(x51) q[2], q[3]; crx(x53) q[2], q[1]; crx(x54) q[2], q[0]; crx(x55) q[1], q[6]; crx(x49) q[1], q[5]; crx(x50) q[1], q[4]; crx(x51) q[1], q[3]; crx(x52) q[1], q[2]; crx(x54) q[1], q[0]; crx(x55) q[0], q[6]; crx(x49) q[0], q[5]; crx(x50) q[0], q[4]; crx(x51) q[0], q[3]; crx(x52) q[0], q[2]; crx(x53) q[0], q[1]; rx(x56) q[0]; rz(x57) q[0]; rx(x58) q[1]; rz(x59) q[1]; rx(x60) q[2]; rz(x61) q[2]; rx(x62) q[3]; rz(x63) q[3]; rx(x64) q[4]; rz(x65) q[4]; rx(x66) q[5]; rz(x24) q[5]; rx(x67) q[6]; rz(x68) q[6]; rx(x69) q[0]; rz(x70) q[0]; rx(x71) q[1]; rz(x72) q[1]; rx(x73) q[2]; rz(x74) q[2]; rx(x75) q[3]; rz(x76) q[3]; rx(x77) q[4]; rz(x78) q[4]; rx(x79) q[5]; rz(x80) q[5]; rx(x81) q[6]; rz(x82) q[6]; crx(x83) q[6], q[5]; crx(x84) q[6], q[4]; crx(x85) q[6], q[3]; crx(x86) q[6], q[2]; crx(x87) q[6], q[1]; crx(x88) q[6], q[0]; crx(x89) q[5], q[6]; crx(x84) q[5], q[4]; crx(x85) q[5], q[3]; crx(x86) q[5], q[2]; crx(x87) q[5], q[1]; crx(x88) q[5], q[0]; crx(x89) q[4], q[6]; crx(x83) q[4], q[5]; crx(x85) q[4], q[3]; crx(x86) q[4], q[2]; crx(x87) q[4], q[1]; crx(x88) q[4], q[0]; crx(x89) q[3], q[6]; crx(x83) q[3], q[5]; crx(x84) q[3], q[4]; crx(x86) q[3], q[2]; crx(x87) q[3], q[1]; crx(x88) q[3], q[0]; crx(x89) q[2], q[6]; crx(x83) q[2], q[5]; crx(x84) q[2], q[4]; crx(x85) q[2], q[3]; crx(x87) q[2], q[1]; crx(x88) q[2], q[0]; crx(x89) q[1], q[6]; crx(x83) q[1], q[5]; crx(x84) q[1], q[4]; crx(x85) q[1], q[3]; crx(x86) q[1], q[2]; crx(x88) q[1], q[0]; crx(x89) q[0], q[6]; crx(x83) q[0], q[5]; crx(x84) q[0], q[4]; crx(x85) q[0], q[3]; crx(x86) q[0], q[2]; crx(x87) q[0], q[1]; rx(x90) q[0]; rz(x91) q[0]; rx(x92) q[1]; rz(x93) q[1]; rx(x94) q[2]; rz(x95) q[2]; rx(x96) q[3]; rz(x97) q[3]; rx(x98) q[4]; rz(x99) q[4]; rx(x100) q[5]; rz(x101) q[5]; rx(x102) q[6]; rz(x103) q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"node": 3}
{"circuits": [], "gradients": []}
afc1e6ae0489b407103909fb8184f531
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [72, 55], "expectation_value": -1.0121474723361938, "params": [[-0.0781, -0.07100000000000001, -0.0724], [0.0796, 0.0723, 0.0682]], "bitstrings": ["0110111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.014873257744845228, 0.016279554852844484], "optimization_time": 3.763197898864746}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3)
1
7
3
{"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(-0.0781) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.0781) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(-0.0781) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(-0.0781) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(-0.0781) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(-0.0781) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.0781) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(-0.0781) q[3]; cx q[5], q[3]; rz(0) q[1]; rz(0.3124) q[0]; rz(0.0781) q[2]; rz(0.0781) q[4]; rz(0.0781) q[5]; rz(0) q[6]; rz(0.1562) q[3]; h q[0]; rz(0.1592) q[0]; h q[0]; h q[1]; rz(0.1592) q[1]; h q[1]; h q[2]; rz(0.1592) q[2]; h q[2]; h q[3]; rz(0.1592) q[3]; h q[3]; h q[4]; rz(0.1592) q[4]; h q[4]; h q[5]; rz(0.1592) q[5]; h q[5]; h q[6]; rz(0.1592) q[6]; h q[6]; cx q[1], q[0]; rz(-0.071) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.071) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(-0.071) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(-0.071) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(-0.071) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(-0.071) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.071) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(-0.071) q[3]; cx q[5], q[3]; rz(0) q[1]; rz(0.284) q[0]; rz(0.071) q[2]; rz(0.071) q[4]; rz(0.071) q[5]; rz(0) q[6]; rz(0.142) q[3]; h q[0]; rz(0.1446) q[0]; h q[0]; h q[1]; rz(0.1446) q[1]; h q[1]; h q[2]; rz(0.1446) q[2]; h q[2]; h q[3]; rz(0.1446) q[3]; h q[3]; h q[4]; rz(0.1446) q[4]; h q[4]; h q[5]; rz(0.1446) q[5]; h q[5]; h q[6]; rz(0.1446) q[6]; h q[6]; cx q[1], q[0]; rz(-0.0724) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.0724) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(-0.0724) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(-0.0724) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(-0.0724) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(-0.0724) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.0724) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(-0.0724) q[3]; cx q[5], q[3]; rz(0) q[1]; rz(0.2896) q[0]; rz(0.0724) q[2]; rz(0.0724) q[4]; rz(0.0724) q[5]; rz(0) q[6]; rz(0.1448) q[3]; h q[0]; rz(0.1364) q[0]; h q[0]; h q[1]; rz(0.1364) q[1]; h q[1]; h q[2]; rz(0.1364) q[2]; h q[2]; h q[3]; rz(0.1364) q[3]; h q[3]; h q[4]; rz(0.1364) q[4]; h q[4]; h q[5]; rz(0.1364) q[5]; h q[5]; h q[6]; rz(0.1364) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x3) q[4]; rz(x3) q[5]; rz(x1) q[6]; rz(x4) q[3]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; cx q[1], q[0]; rz(x6) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x6) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x6) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x6) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(x6) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(x6) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x6) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x6) q[3]; cx q[5], q[3]; rz(x1) q[1]; rz(x7) q[0]; rz(x8) q[2]; rz(x8) q[4]; rz(x8) q[5]; rz(x1) q[6]; rz(x9) q[3]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; cx q[1], q[0]; rz(x11) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x11) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x11) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x11) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(x11) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(x11) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x11) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x11) q[3]; cx q[5], q[3]; rz(x1) q[1]; rz(x12) q[0]; rz(x13) q[2]; rz(x13) q[4]; rz(x13) q[5]; rz(x1) q[6]; rz(x14) q[3]; h q[0]; rz(x15) q[0]; h q[0]; h q[1]; rz(x15) q[1]; h q[1]; h q[2]; rz(x15) q[2]; h q[2]; h q[3]; rz(x15) q[3]; h q[3]; h q[4]; rz(x15) q[4]; h q[4]; h q[5]; rz(x15) q[5]; h q[5]; h q[6]; rz(x15) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
e1d3015ff7ffc7e0806533be361ff7b0
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}], "edges": [{"weight": 8, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 12}, {"weight": 10, "source": 1, "target": 6}, {"weight": 14, "source": 1, "target": 12}, {"weight": 6, "source": 2, "target": 7}, {"weight": 11, "source": 2, "target": 11}, {"weight": 5, "source": 3, "target": 8}, {"weight": 19, "source": 3, "target": 7}, {"weight": 10, "source": 4, "target": 9}, {"weight": 12, "source": 4, "target": 8}]}
{"states": [680, 682], "expectation_value": -28.556652786357137, "params": [[[0.3971, 0.19010000000000002], [0.0118, 0.2316], [0.402, 0.2215], [0.3251, 0.3301], [0.40230000000000005, 0.1237], [0.39690000000000003, 0.33], [0.3986, 0.37870000000000004], [0.2994, 0.40130000000000005], [0.39590000000000003, 0.40180000000000005], [0.39730000000000004, 0.3779]], [[0.40540000000000004, 0.33030000000000004], [0.0031000000000000003, 0.19640000000000002], [0.3987, 0.229], [0.3415, 0.35860000000000003], [0.4026, 0.1398], [0.39180000000000004, 0.38620000000000004], [0.4, 0.399], [0.3543, 0.39690000000000003], [0.3907, 0.3965], [0.3951, 0.1325]], [[0.2459, 0.35810000000000003], [-0.0021000000000000003, 0.2592], [0.4002, 0.4017], [0.3135, 0.4052], [0.4, 0.12100000000000001], [0.3739, 0.39880000000000004], [0.3905, 0.4066], [0.339, 0.39830000000000004], [0.4005, 0.3214], [0.4017, 0.40840000000000004]], [[0.28900000000000003, 0.3947], [0.2258, 0.3902], [0.3961, 0.39440000000000003], [0.1825, 0.40590000000000004], [0.1908, 0.2238], [0.3054, 0.3955], [0.38480000000000003, 0.3907], [0.3408, 0.3987], [0.2089, 0.19790000000000002], [0.3935, 0.2152]]], "bitstrings": ["0101010111", "0101010101"], "total_optimization_steps": 40, "probabilities": [0.04635256506482924, 0.055122066719527726], "optimization_time": 49.026071548461914}
7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + -3.0 * Z(1) + 7.5 * Z(0) + 7.0 * Z(2) + -2.0 * Z(3) + 3.0 * Z(5) + -1.5 * Z(4) + 9.5 * Z(6) + 2.5 * Z(7) + 6.0 * Z(8) + -2.0 * Z(9)
15
10
4
{"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["0101010101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; ry(0.3971) q[0]; ry(0.0118) q[1]; ry(0.402) q[2]; ry(0.3251) q[3]; ry(0.4023) q[4]; ry(0.3969) q[5]; ry(0.3986) q[6]; ry(0.2994) q[7]; ry(0.3959) q[8]; ry(0.3973) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.1901) q[0]; ry(0.2316) q[1]; ry(0.2215) q[2]; ry(0.3301) q[3]; ry(0.1237) q[4]; ry(0.33) q[5]; ry(0.3787) q[6]; ry(0.4013) q[7]; ry(0.4018) q[8]; ry(0.3779) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(0.4054) q[0]; ry(0.0031) q[1]; ry(0.3987) q[2]; ry(0.3415) q[3]; ry(0.4026) q[4]; ry(0.3918) q[5]; ry(0.4) q[6]; ry(0.3543) q[7]; ry(0.3907) q[8]; ry(0.3951) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.3303) q[0]; ry(0.1964) q[1]; ry(0.229) q[2]; ry(0.3586) q[3]; ry(0.1398) q[4]; ry(0.3862) q[5]; ry(0.399) q[6]; ry(0.3969) q[7]; ry(0.3965) q[8]; ry(0.1325) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(0.2459) q[0]; ry(-0.0021) q[1]; ry(0.4002) q[2]; ry(0.3135) q[3]; ry(0.4) q[4]; ry(0.3739) q[5]; ry(0.3905) q[6]; ry(0.339) q[7]; ry(0.4005) q[8]; ry(0.4017) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.3581) q[0]; ry(0.2592) q[1]; ry(0.4017) q[2]; ry(0.4052) q[3]; ry(0.121) q[4]; ry(0.3988) q[5]; ry(0.4066) q[6]; ry(0.3983) q[7]; ry(0.3214) q[8]; ry(0.4084) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(0.289) q[0]; ry(0.2258) q[1]; ry(0.3961) q[2]; ry(0.1825) q[3]; ry(0.1908) q[4]; ry(0.3054) q[5]; ry(0.3848) q[6]; ry(0.3408) q[7]; ry(0.2089) q[8]; ry(0.3935) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.3947) q[0]; ry(0.3902) q[1]; ry(0.3944) q[2]; ry(0.4059) q[3]; ry(0.2238) q[4]; ry(0.3955) q[5]; ry(0.3907) q[6]; ry(0.3987) q[7]; ry(0.1979) q[8]; ry(0.2152) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x10) q[0]; ry(x11) q[1]; ry(x12) q[2]; ry(x13) q[3]; ry(x14) q[4]; ry(x15) q[5]; ry(x16) q[6]; ry(x17) q[7]; ry(x18) q[8]; ry(x19) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x20) q[0]; ry(x21) q[1]; ry(x22) q[2]; ry(x23) q[3]; ry(x24) q[4]; ry(x25) q[5]; ry(x26) q[6]; ry(x27) q[7]; ry(x28) q[8]; ry(x29) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x30) q[0]; ry(x31) q[1]; ry(x32) q[2]; ry(x33) q[3]; ry(x34) q[4]; ry(x35) q[5]; ry(x36) q[6]; ry(x5) q[7]; ry(x37) q[8]; ry(x38) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x39) q[0]; ry(x40) q[1]; ry(x41) q[2]; ry(x42) q[3]; ry(x26) q[4]; ry(x43) q[5]; ry(x44) q[6]; ry(x45) q[7]; ry(x46) q[8]; ry(x47) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x48) q[0]; ry(x49) q[1]; ry(x47) q[2]; ry(x50) q[3]; ry(x51) q[4]; ry(x52) q[5]; ry(x53) q[6]; ry(x54) q[7]; ry(x55) q[8]; ry(x56) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x57) q[0]; ry(x58) q[1]; ry(x59) q[2]; ry(x60) q[3]; ry(x61) q[4]; ry(x62) q[5]; ry(x63) q[6]; ry(x64) q[7]; ry(x65) q[8]; ry(x66) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x67) q[0]; ry(x68) q[1]; ry(x69) q[2]; ry(x70) q[3]; ry(x71) q[4]; ry(x72) q[5]; ry(x28) q[6]; ry(x22) q[7]; ry(x73) q[8]; ry(x74) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"}
{"circuits": [], "gradients": []}
e477f019bfd20e5c3ebfb6f9f834bdc7
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"source": 8, "target": 9}]}
{"states": [30, 31], "expectation_value": -0.6713934386103084, "params": [[-0.038400000000000004], [0.043500000000000004]], "bitstrings": ["111100001", "111100000"], "total_optimization_steps": 10, "probabilities": [0.002339143459707732, 0.0024118616348383685], "optimization_time": 2.782576322555542}
-2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + 1.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(8)
5
9
1
{"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(0.192) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.1152) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.192) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.192) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.0768) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.192) q[3]; cx q[2], q[3]; cx q[6], q[4]; rz(0.1152) q[4]; cx q[6], q[4]; cx q[6], q[7]; rz(-0.0384) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(0.192) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(-0.0384) q[5]; cx q[4], q[5]; cx q[7], q[5]; rz(0.1536) q[5]; cx q[7], q[5]; cx q[4], q[8]; rz(-0.0384) q[8]; cx q[4], q[8]; cx q[7], q[8]; rz(0.1536) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(-0.0384) q[8]; cx q[5], q[8]; rz(0.1536) q[1]; rz(0.1152) q[0]; rz(0.1536) q[2]; rz(-0.1152) q[3]; rz(-0.0384) q[6]; rz(-0.0384) q[4]; rz(-0.0384) q[7]; rz(-0.0384) q[5]; rz(-0.0384) q[8]; h q[0]; rz(0.087) q[0]; h q[0]; h q[1]; rz(0.087) q[1]; h q[1]; h q[2]; rz(0.087) q[2]; h q[2]; h q[3]; rz(0.087) q[3]; h q[3]; h q[4]; rz(0.087) q[4]; h q[4]; h q[5]; rz(0.087) q[5]; h q[5]; h q[6]; rz(0.087) q[6]; h q[6]; h q[7]; rz(0.087) q[7]; h q[7]; h q[8]; rz(0.087) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x2) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[6], q[4]; rz(x3) q[4]; cx q[6], q[4]; cx q[6], q[7]; rz(x4) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(x4) q[5]; cx q[4], q[5]; cx q[7], q[5]; rz(x5) q[5]; cx q[7], q[5]; cx q[4], q[8]; rz(x4) q[8]; cx q[4], q[8]; cx q[7], q[8]; rz(x5) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(x4) q[8]; cx q[5], q[8]; rz(x5) q[1]; rz(x3) q[0]; rz(x5) q[2]; rz(x1) q[3]; rz(x4) q[6]; rz(x4) q[4]; rz(x4) q[7]; rz(x4) q[5]; rz(x4) q[8]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; h q[8]; rz(x6) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 0}
{"circuits": [], "gradients": []}
2558005241020373619
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10, 9, 6], [8, 2, 3], [0, 5, 7], [0, 9, 3, 7], [10, 5, 6, 7], [2, 4, 5], [0, 1, 4, 7], [0, 10, 6], [0, 9, 6], [8, 1, 3, 7], [0, 8, 3], [10, 3, 7], [9, 3, 6], [0, 2, 10], [0, 10, 7], [0, 8, 10], [1, 9, 7], [8, 9, 2, 5], [3, 6, 7], [1, 5], [8, 4, 7]]}
{"states": [1884, 1820], "expectation_value": -4.139429518759872, "params": [1.1972, 0.1569, 1.0513000000000001, 0.0092, 1.2003000000000001, 0.1653, 1.1927, 0.0074, 1.2036, 0.1685, 1.1952, 0.0026000000000000003, 0.911, -0.2509, 0.7111000000000001, 0.0063, 1.1904000000000001, -0.1577, 1.0543, 0.0061, 1.0119, 0.0417, 0.45730000000000004, 0.0049, 1.193, 0.1647, 1.1922000000000001, 0.004200000000000001, 1.2002000000000002, 0.17220000000000002, 1.1909, 0.0059, 1.2018, 0.18780000000000002, 1.1969, 0.0004, 1.1922000000000001, 0.2785, 1.1949, 0.0059, 1.2007, 0.2607, 1.1902000000000001, 0.0007, 0.19390000000000002, 0.1537, 0.1501, -0.2566, -0.23770000000000002, -0.3151, 0.14120000000000002, 0.138, 0.1259, 0.7646000000000001, 0.8928], "bitstrings": ["00010100011", "00011100011"], "total_optimization_steps": 120, "probabilities": [0.14612246793709388, 0.23939000389182602], "optimization_time": 33.99134421348572}
0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(10)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.25 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(6)) + 0.41666666666666663 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.6666666666666666 * (Z(0) @ Z(10)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(7) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(9)) + 0.25 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(7)) + 1.0833333333333333 * Z(10) + 0.5416666666666665 * Z(1) + 0.8750000000000001 * Z(9) + 0.9166666666666665 * Z(6) + 0.9166666666666667 * Z(8) + 0.625 * Z(2) + 1.0833333333333337 * Z(3) + 1.4166666666666663 * Z(0) + 0.5833333333333337 * Z(5) + 1.5 * Z(7) + 0.45833333333333337 * Z(4)
6
11
1
{"smallest_eigenvalues": [-5.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.249999999999999, "smallest_bitstrings": ["00011100011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; rx(1.1972) q[0]; rz(0.1569) q[0]; rx(1.2003) q[1]; rz(0.1653) q[1]; rx(1.2036) q[2]; rz(0.1685) q[2]; rx(0.911) q[3]; rz(-0.2509) q[3]; rx(1.1904) q[4]; rz(-0.1577) q[4]; rx(1.0119) q[5]; rz(0.0417) q[5]; rx(1.193) q[6]; rz(0.1647) q[6]; rx(1.2002) q[7]; rz(0.1722) q[7]; rx(1.2018) q[8]; rz(0.1878) q[8]; rx(1.1922) q[9]; rz(0.2785) q[9]; rx(1.2007) q[10]; rz(0.2607) q[10]; crx(0.7646) q[10], q[9]; crx(0.1259) q[10], q[8]; crx(0.138) q[10], q[7]; crx(0.1412) q[10], q[6]; crx(-0.3151) q[10], q[5]; crx(-0.2377) q[10], q[4]; crx(-0.2566) q[10], q[3]; crx(0.1501) q[10], q[2]; crx(0.1537) q[10], q[1]; crx(0.1939) q[10], q[0]; crx(0.8928) q[9], q[10]; crx(0.1259) q[9], q[8]; crx(0.138) q[9], q[7]; crx(0.1412) q[9], q[6]; crx(-0.3151) q[9], q[5]; crx(-0.2377) q[9], q[4]; crx(-0.2566) q[9], q[3]; crx(0.1501) q[9], q[2]; crx(0.1537) q[9], q[1]; crx(0.1939) q[9], q[0]; crx(0.8928) q[8], q[10]; crx(0.7646) q[8], q[9]; crx(0.138) q[8], q[7]; crx(0.1412) q[8], q[6]; crx(-0.3151) q[8], q[5]; crx(-0.2377) q[8], q[4]; crx(-0.2566) q[8], q[3]; crx(0.1501) q[8], q[2]; crx(0.1537) q[8], q[1]; crx(0.1939) q[8], q[0]; crx(0.8928) q[7], q[10]; crx(0.7646) q[7], q[9]; crx(0.1259) q[7], q[8]; crx(0.1412) q[7], q[6]; crx(-0.3151) q[7], q[5]; crx(-0.2377) q[7], q[4]; crx(-0.2566) q[7], q[3]; crx(0.1501) q[7], q[2]; crx(0.1537) q[7], q[1]; crx(0.1939) q[7], q[0]; crx(0.8928) q[6], q[10]; crx(0.7646) q[6], q[9]; crx(0.1259) q[6], q[8]; crx(0.138) q[6], q[7]; crx(-0.3151) q[6], q[5]; crx(-0.2377) q[6], q[4]; crx(-0.2566) q[6], q[3]; crx(0.1501) q[6], q[2]; crx(0.1537) q[6], q[1]; crx(0.1939) q[6], q[0]; crx(0.8928) q[5], q[10]; crx(0.7646) q[5], q[9]; crx(0.1259) q[5], q[8]; crx(0.138) q[5], q[7]; crx(0.1412) q[5], q[6]; crx(-0.2377) q[5], q[4]; crx(-0.2566) q[5], q[3]; crx(0.1501) q[5], q[2]; crx(0.1537) q[5], q[1]; crx(0.1939) q[5], q[0]; crx(0.8928) q[4], q[10]; crx(0.7646) q[4], q[9]; crx(0.1259) q[4], q[8]; crx(0.138) q[4], q[7]; crx(0.1412) q[4], q[6]; crx(-0.3151) q[4], q[5]; crx(-0.2566) q[4], q[3]; crx(0.1501) q[4], q[2]; crx(0.1537) q[4], q[1]; crx(0.1939) q[4], q[0]; crx(0.8928) q[3], q[10]; crx(0.7646) q[3], q[9]; crx(0.1259) q[3], q[8]; crx(0.138) q[3], q[7]; crx(0.1412) q[3], q[6]; crx(-0.3151) q[3], q[5]; crx(-0.2377) q[3], q[4]; crx(0.1501) q[3], q[2]; crx(0.1537) q[3], q[1]; crx(0.1939) q[3], q[0]; crx(0.8928) q[2], q[10]; crx(0.7646) q[2], q[9]; crx(0.1259) q[2], q[8]; crx(0.138) q[2], q[7]; crx(0.1412) q[2], q[6]; crx(-0.3151) q[2], q[5]; crx(-0.2377) q[2], q[4]; crx(-0.2566) q[2], q[3]; crx(0.1537) q[2], q[1]; crx(0.1939) q[2], q[0]; crx(0.8928) q[1], q[10]; crx(0.7646) q[1], q[9]; crx(0.1259) q[1], q[8]; crx(0.138) q[1], q[7]; crx(0.1412) q[1], q[6]; crx(-0.3151) q[1], q[5]; crx(-0.2377) q[1], q[4]; crx(-0.2566) q[1], q[3]; crx(0.1501) q[1], q[2]; crx(0.1939) q[1], q[0]; crx(0.8928) q[0], q[10]; crx(0.7646) q[0], q[9]; crx(0.1259) q[0], q[8]; crx(0.138) q[0], q[7]; crx(0.1412) q[0], q[6]; crx(-0.3151) q[0], q[5]; crx(-0.2377) q[0], q[4]; crx(-0.2566) q[0], q[3]; crx(0.1501) q[0], q[2]; crx(0.1537) q[0], q[1]; rx(1.0513) q[0]; rz(0.0092) q[0]; rx(1.1927) q[1]; rz(0.0074) q[1]; rx(1.1952) q[2]; rz(0.0026) q[2]; rx(0.7111) q[3]; rz(0.0063) q[3]; rx(1.0543) q[4]; rz(0.0061) q[4]; rx(0.4573) q[5]; rz(0.0049) q[5]; rx(1.1922) q[6]; rz(0.0042) q[6]; rx(1.1909) q[7]; rz(0.0059) q[7]; rx(1.1969) q[8]; rz(0.0004) q[8]; rx(1.1949) q[9]; rz(0.0059) q[9]; rx(1.1902) q[10]; rz(0.0007) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; crx(x22) q[10], q[9]; crx(x23) q[10], q[8]; crx(x24) q[10], q[7]; crx(x25) q[10], q[6]; crx(x26) q[10], q[5]; crx(x27) q[10], q[4]; crx(x28) q[10], q[3]; crx(x29) q[10], q[2]; crx(x30) q[10], q[1]; crx(x31) q[10], q[0]; crx(x32) q[9], q[10]; crx(x23) q[9], q[8]; crx(x24) q[9], q[7]; crx(x25) q[9], q[6]; crx(x26) q[9], q[5]; crx(x27) q[9], q[4]; crx(x28) q[9], q[3]; crx(x29) q[9], q[2]; crx(x30) q[9], q[1]; crx(x31) q[9], q[0]; crx(x32) q[8], q[10]; crx(x22) q[8], q[9]; crx(x24) q[8], q[7]; crx(x25) q[8], q[6]; crx(x26) q[8], q[5]; crx(x27) q[8], q[4]; crx(x28) q[8], q[3]; crx(x29) q[8], q[2]; crx(x30) q[8], q[1]; crx(x31) q[8], q[0]; crx(x32) q[7], q[10]; crx(x22) q[7], q[9]; crx(x23) q[7], q[8]; crx(x25) q[7], q[6]; crx(x26) q[7], q[5]; crx(x27) q[7], q[4]; crx(x28) q[7], q[3]; crx(x29) q[7], q[2]; crx(x30) q[7], q[1]; crx(x31) q[7], q[0]; crx(x32) q[6], q[10]; crx(x22) q[6], q[9]; crx(x23) q[6], q[8]; crx(x24) q[6], q[7]; crx(x26) q[6], q[5]; crx(x27) q[6], q[4]; crx(x28) q[6], q[3]; crx(x29) q[6], q[2]; crx(x30) q[6], q[1]; crx(x31) q[6], q[0]; crx(x32) q[5], q[10]; crx(x22) q[5], q[9]; crx(x23) q[5], q[8]; crx(x24) q[5], q[7]; crx(x25) q[5], q[6]; crx(x27) q[5], q[4]; crx(x28) q[5], q[3]; crx(x29) q[5], q[2]; crx(x30) q[5], q[1]; crx(x31) q[5], q[0]; crx(x32) q[4], q[10]; crx(x22) q[4], q[9]; crx(x23) q[4], q[8]; crx(x24) q[4], q[7]; crx(x25) q[4], q[6]; crx(x26) q[4], q[5]; crx(x28) q[4], q[3]; crx(x29) q[4], q[2]; crx(x30) q[4], q[1]; crx(x31) q[4], q[0]; crx(x32) q[3], q[10]; crx(x22) q[3], q[9]; crx(x23) q[3], q[8]; crx(x24) q[3], q[7]; crx(x25) q[3], q[6]; crx(x26) q[3], q[5]; crx(x27) q[3], q[4]; crx(x29) q[3], q[2]; crx(x30) q[3], q[1]; crx(x31) q[3], q[0]; crx(x32) q[2], q[10]; crx(x22) q[2], q[9]; crx(x23) q[2], q[8]; crx(x24) q[2], q[7]; crx(x25) q[2], q[6]; crx(x26) q[2], q[5]; crx(x27) q[2], q[4]; crx(x28) q[2], q[3]; crx(x30) q[2], q[1]; crx(x31) q[2], q[0]; crx(x32) q[1], q[10]; crx(x22) q[1], q[9]; crx(x23) q[1], q[8]; crx(x24) q[1], q[7]; crx(x25) q[1], q[6]; crx(x26) q[1], q[5]; crx(x27) q[1], q[4]; crx(x28) q[1], q[3]; crx(x29) q[1], q[2]; crx(x31) q[1], q[0]; crx(x32) q[0], q[10]; crx(x22) q[0], q[9]; crx(x23) q[0], q[8]; crx(x24) q[0], q[7]; crx(x25) q[0], q[6]; crx(x26) q[0], q[5]; crx(x27) q[0], q[4]; crx(x28) q[0], q[3]; crx(x29) q[0], q[2]; crx(x30) q[0], q[1]; rx(x33) q[0]; rz(x34) q[0]; rx(x35) q[1]; rz(x36) q[1]; rx(x37) q[2]; rz(x38) q[2]; rx(x39) q[3]; rz(x40) q[3]; rx(x41) q[4]; rz(x42) q[4]; rx(x43) q[5]; rz(x44) q[5]; rx(x18) q[6]; rz(x45) q[6]; rx(x46) q[7]; rz(x47) q[7]; rx(x48) q[8]; rz(x49) q[8]; rx(x50) q[9]; rz(x47) q[9]; rx(x51) q[10]; rz(x52) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
null
{"circuits": [], "gradients": []}
c115cf772412a3efc6e8057443fcfc91
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 4, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 7}, {"weight": 10, "source": 1, "target": 7}, {"weight": 3, "source": 2, "target": 8}, {"weight": 16, "source": 2, "target": 10}, {"weight": 5, "source": 3, "target": 9}, {"weight": 20, "source": 3, "target": 13}, {"weight": 1, "source": 4, "target": 10}, {"weight": 20, "source": 4, "target": 12}, {"weight": 13, "source": 4, "target": 7}, {"weight": 7, "source": 5, "target": 11}]}
{"states": [682, 678], "expectation_value": -114.48757601899696, "params": [[0.0118, 0.6322, -0.023100000000000002, 0.6345000000000001, -0.0027, 0.6285000000000001, 0.0396, 0.0823, -0.4379, 1.0388, -0.003], [-0.007200000000000001, 0.6259, 0.10840000000000001, 0.625, -0.0016, 0.6307, -0.0281, 0.0166, 0.5237, 0.9995, -0.0021000000000000003], [-0.006200000000000001, 0.6254000000000001, -0.06280000000000001, 0.6289, 0.0026000000000000003, 0.6297, -0.0205, 0.23090000000000002, -0.6327, 0.8562000000000001, -0.0032], [-0.0014, 0.6298, -0.1453, 0.63, 0.002, 0.6355000000000001, 0.0023, 0.8307, 0.4617, 0.2461, -0.004200000000000001], [-0.0089, 0.622, 0.1341, 0.6208, 0.0037, 0.6319, -0.0043, 0.4889, -0.32030000000000003, 0.2733, -0.0029000000000000002]], "bitstrings": ["10101010101", "10101011001"], "total_optimization_steps": 150, "probabilities": [0.31215896369267404, 0.5624932518324666], "optimization_time": 9.690748691558838}
8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + -6.0 * Z(0) + 15.5 * Z(1) + 5.0 * Z(2) + -6.5 * Z(4) + 8.0 * Z(3) + -5.5 * Z(6) + 2.0 * Z(5) + 8.5 * Z(7) + 10.0 * Z(8) + 22.5 * Z(9) + -12.5 * Z(10)
10
11
4
{"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10101011001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[11] c; qubit[11] q; ry(0.0118) q[0]; ry(0.6322) q[1]; ry(-0.0231) q[2]; ry(0.6345) q[3]; ry(-0.0027) q[4]; ry(0.6285) q[5]; ry(0.0396) q[6]; ry(0.0823) q[7]; ry(-0.4379) q[8]; ry(1.0388) q[9]; ry(-0.003) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.0072) q[0]; ry(0.6259) q[1]; ry(0.1084) q[2]; ry(0.625) q[3]; ry(-0.0016) q[4]; ry(0.6307) q[5]; ry(-0.0281) q[6]; ry(0.0166) q[7]; ry(0.5237) q[8]; ry(0.9995) q[9]; ry(-0.0021) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.0062) q[0]; ry(0.6254) q[1]; ry(-0.0628) q[2]; ry(0.6289) q[3]; ry(0.0026) q[4]; ry(0.6297) q[5]; ry(-0.0205) q[6]; ry(0.2309) q[7]; ry(-0.6327) q[8]; ry(0.8562) q[9]; ry(-0.0032) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.0014) q[0]; ry(0.6298) q[1]; ry(-0.1453) q[2]; ry(0.63) q[3]; ry(0.002) q[4]; ry(0.6355) q[5]; ry(0.0023) q[6]; ry(0.8307) q[7]; ry(0.4617) q[8]; ry(0.2461) q[9]; ry(-0.0042) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.0089) q[0]; ry(0.622) q[1]; ry(0.1341) q[2]; ry(0.6208) q[3]; ry(0.0037) q[4]; ry(0.6319) q[5]; ry(-0.0043) q[6]; ry(0.4889) q[7]; ry(-0.3203) q[8]; ry(0.2733) q[9]; ry(-0.0029) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x22) q[0]; ry(x23) q[1]; ry(x24) q[2]; ry(x25) q[3]; ry(x26) q[4]; ry(x27) q[5]; ry(x28) q[6]; ry(x29) q[7]; ry(x30) q[8]; ry(x31) q[9]; ry(x32) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x33) q[0]; ry(x34) q[1]; ry(x35) q[2]; ry(x36) q[3]; ry(x37) q[4]; ry(x38) q[5]; ry(x39) q[6]; ry(x40) q[7]; ry(x41) q[8]; ry(x42) q[9]; ry(x43) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x44) q[0]; ry(x45) q[1]; ry(x46) q[2]; ry(x47) q[3]; ry(x48) q[4]; ry(x49) q[5]; ry(x50) q[6]; ry(x51) q[7]; ry(x52) q[8]; ry(x53) q[9]; ry(x54) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
725c9b512790b6f65e71b3c284e6ef0c
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]}
{"states": [0, 28], "expectation_value": -4.112688043115055, "params": [0.42260000000000003, 1.3047, -0.40390000000000004, 1.0045, 0.4726, 0.5134000000000001, 0.4025, 0.5209, 0.216, 0.7492000000000001, -0.3769, 0.43310000000000004, -0.0316, 0.9213, 0.033, 0.7546, -0.42810000000000004, 0.15960000000000002, -0.46630000000000005, 0.4223, -0.4657, 0.5733, -0.0597, 0.0011, 0.4888, 0.4061, 0.0385, 0.0022, -0.44010000000000005, 0.7991, 0.0132, 0.0022, -0.1661, 0.7294, 0.035500000000000004, 0.0061, -0.4817, 0.5311, 0.438, 0.006500000000000001, 1.0594000000000001, 1.2678, 0.6143000000000001, 0.10350000000000001, 1.2154, -1.2492, 0.8971, -1.0918, 0.039900000000000005, 0.4637], "bitstrings": ["11111", "00011"], "total_optimization_steps": 180, "probabilities": [0.3364541712559168, 0.567524932856253], "optimization_time": 15.113510847091675}
-1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3)
6
5
2
{"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; rx(0.4226) q[0]; rz(1.3047) q[0]; rx(0.4726) q[1]; rz(0.5134) q[1]; rx(0.216) q[2]; rz(0.7492) q[2]; rx(-0.0316) q[3]; rz(0.9213) q[3]; rx(-0.4281) q[4]; rz(0.1596) q[4]; crx(0.1035) q[4], q[3]; crx(0.6143) q[4], q[2]; crx(1.2678) q[4], q[1]; crx(1.0594) q[4], q[0]; crx(1.2154) q[3], q[4]; crx(0.6143) q[3], q[2]; crx(1.2678) q[3], q[1]; crx(1.0594) q[3], q[0]; crx(1.2154) q[2], q[4]; crx(0.1035) q[2], q[3]; crx(1.2678) q[2], q[1]; crx(1.0594) q[2], q[0]; crx(1.2154) q[1], q[4]; crx(0.1035) q[1], q[3]; crx(0.6143) q[1], q[2]; crx(1.0594) q[1], q[0]; crx(1.2154) q[0], q[4]; crx(0.1035) q[0], q[3]; crx(0.6143) q[0], q[2]; crx(1.2678) q[0], q[1]; rx(-0.4039) q[0]; rz(1.0045) q[0]; rx(0.4025) q[1]; rz(0.5209) q[1]; rx(-0.3769) q[2]; rz(0.4331) q[2]; rx(0.033) q[3]; rz(0.7546) q[3]; rx(-0.4663) q[4]; rz(0.4223) q[4]; rx(-0.4657) q[0]; rz(0.5733) q[0]; rx(0.4888) q[1]; rz(0.4061) q[1]; rx(-0.4401) q[2]; rz(0.7991) q[2]; rx(-0.1661) q[3]; rz(0.7294) q[3]; rx(-0.4817) q[4]; rz(0.5311) q[4]; crx(0.0399) q[4], q[3]; crx(-1.0918) q[4], q[2]; crx(0.8971) q[4], q[1]; crx(-1.2492) q[4], q[0]; crx(0.4637) q[3], q[4]; crx(-1.0918) q[3], q[2]; crx(0.8971) q[3], q[1]; crx(-1.2492) q[3], q[0]; crx(0.4637) q[2], q[4]; crx(0.0399) q[2], q[3]; crx(0.8971) q[2], q[1]; crx(-1.2492) q[2], q[0]; crx(0.4637) q[1], q[4]; crx(0.0399) q[1], q[3]; crx(-1.0918) q[1], q[2]; crx(-1.2492) q[1], q[0]; crx(0.4637) q[0], q[4]; crx(0.0399) q[0], q[3]; crx(-1.0918) q[0], q[2]; crx(0.8971) q[0], q[1]; rx(-0.0597) q[0]; rz(0.0011) q[0]; rx(0.0385) q[1]; rz(0.0022) q[1]; rx(0.0132) q[2]; rz(0.0022) q[2]; rx(0.0355) q[3]; rz(0.0061) q[3]; rx(0.438) q[4]; rz(0.0065) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[5] c; qubit[5] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; crx(x10) q[4], q[3]; crx(x11) q[4], q[2]; crx(x12) q[4], q[1]; crx(x13) q[4], q[0]; crx(x14) q[3], q[4]; crx(x11) q[3], q[2]; crx(x12) q[3], q[1]; crx(x13) q[3], q[0]; crx(x14) q[2], q[4]; crx(x10) q[2], q[3]; crx(x12) q[2], q[1]; crx(x13) q[2], q[0]; crx(x14) q[1], q[4]; crx(x10) q[1], q[3]; crx(x11) q[1], q[2]; crx(x13) q[1], q[0]; crx(x14) q[0], q[4]; crx(x10) q[0], q[3]; crx(x11) q[0], q[2]; crx(x12) q[0], q[1]; rx(x15) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; rx(x21) q[3]; rz(x22) q[3]; rx(x23) q[4]; rz(x24) q[4]; rx(x25) q[0]; rz(x26) q[0]; rx(x27) q[1]; rz(x28) q[1]; rx(x29) q[2]; rz(x30) q[2]; rx(x31) q[3]; rz(x32) q[3]; rx(x33) q[4]; rz(x34) q[4]; crx(x35) q[4], q[3]; crx(x36) q[4], q[2]; crx(x37) q[4], q[1]; crx(x38) q[4], q[0]; crx(x39) q[3], q[4]; crx(x36) q[3], q[2]; crx(x37) q[3], q[1]; crx(x38) q[3], q[0]; crx(x39) q[2], q[4]; crx(x35) q[2], q[3]; crx(x37) q[2], q[1]; crx(x38) q[2], q[0]; crx(x39) q[1], q[4]; crx(x35) q[1], q[3]; crx(x36) q[1], q[2]; crx(x38) q[1], q[0]; crx(x39) q[0], q[4]; crx(x35) q[0], q[3]; crx(x36) q[0], q[2]; crx(x37) q[0], q[1]; rx(x40) q[0]; rz(x41) q[0]; rx(x42) q[1]; rz(x43) q[1]; rx(x44) q[2]; rz(x43) q[2]; rx(x45) q[3]; rz(x46) q[3]; rx(x47) q[4]; rz(x48) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"node": 3}
{"circuits": [], "gradients": []}
5129940d52965c3bcc0f8dd9c73f53f5
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]}
{"states": [0, 7], "expectation_value": -4.949621029932606, "params": [0.1991, 0.5931000000000001, -0.09820000000000001, 0.5978, -0.303, 0.5988, -0.2836, 0.8269000000000001, -0.32, 0.4444, -0.28800000000000003, 0.7924, -0.3098, 0.7614000000000001, -0.25630000000000003, 0.8439000000000001, -0.2604, 0.2136, -0.2495, 0.6836, -0.2585, 0.8349000000000001, 0.25880000000000003, 0.7668, -0.21230000000000002, 0.8318000000000001, 0.2389, 0.7507, -0.10940000000000001, 0.8243, 0.24000000000000002, 0.7312000000000001, -0.2492, 0.6579, 0.22690000000000002, 0.8091, 0.2808, 0.5202, -0.0279, 0.0965, 0.2692, 0.4676, 0.031900000000000005, 0.24700000000000003, 0.2922, 0.4199, 0.1517, 0.3017, -0.2301, 0.6990000000000001, 0.1173, 0.0011, -0.0538, 0.024, -0.2544, 0.0037, 0.046200000000000005, 0.1879, -0.2728, 0.001, 0.15480000000000002, 0.23370000000000002, -0.2529, 0.006, -0.5239, 0.0395, 0.0256, 0.0575, -0.7222000000000001, 0.1121, 0.0345, 0.0388, -0.925, 0.3456, 0.4304, 0.7122, -0.6533, 0.8337, 0.6990000000000001, 0.27040000000000003], "bitstrings": ["1111", "1000"], "total_optimization_steps": 110, "probabilities": [0.4390578091754404, 0.5026716475902269], "optimization_time": 17.456382036209106}
-1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0)
6
4
4
{"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[4] c; qubit[4] q; rx(0.1991) q[0]; rz(0.5931) q[0]; rx(-0.303) q[1]; rz(0.5988) q[1]; rx(-0.32) q[2]; rz(0.4444) q[2]; rx(-0.3098) q[3]; rz(0.7614) q[3]; crx(0.0256) q[3], q[2]; crx(0.0395) q[3], q[1]; crx(-0.5239) q[3], q[0]; crx(0.0575) q[2], q[3]; crx(0.0395) q[2], q[1]; crx(-0.5239) q[2], q[0]; crx(0.0575) q[1], q[3]; crx(0.0256) q[1], q[2]; crx(-0.5239) q[1], q[0]; crx(0.0575) q[0], q[3]; crx(0.0256) q[0], q[2]; crx(0.0395) q[0], q[1]; rx(-0.0982) q[0]; rz(0.5978) q[0]; rx(-0.2836) q[1]; rz(0.8269) q[1]; rx(-0.288) q[2]; rz(0.7924) q[2]; rx(-0.2563) q[3]; rz(0.8439) q[3]; rx(-0.2604) q[0]; rz(0.2136) q[0]; rx(-0.2585) q[1]; rz(0.8349) q[1]; rx(-0.2123) q[2]; rz(0.8318) q[2]; rx(-0.1094) q[3]; rz(0.8243) q[3]; crx(0.0345) q[3], q[2]; crx(0.1121) q[3], q[1]; crx(-0.7222) q[3], q[0]; crx(0.0388) q[2], q[3]; crx(0.1121) q[2], q[1]; crx(-0.7222) q[2], q[0]; crx(0.0388) q[1], q[3]; crx(0.0345) q[1], q[2]; crx(-0.7222) q[1], q[0]; crx(0.0388) q[0], q[3]; crx(0.0345) q[0], q[2]; crx(0.1121) q[0], q[1]; rx(-0.2495) q[0]; rz(0.6836) q[0]; rx(0.2588) q[1]; rz(0.7668) q[1]; rx(0.2389) q[2]; rz(0.7507) q[2]; rx(0.24) q[3]; rz(0.7312) q[3]; rx(-0.2492) q[0]; rz(0.6579) q[0]; rx(0.2808) q[1]; rz(0.5202) q[1]; rx(0.2692) q[2]; rz(0.4676) q[2]; rx(0.2922) q[3]; rz(0.4199) q[3]; crx(0.4304) q[3], q[2]; crx(0.3456) q[3], q[1]; crx(-0.925) q[3], q[0]; crx(0.7122) q[2], q[3]; crx(0.3456) q[2], q[1]; crx(-0.925) q[2], q[0]; crx(0.7122) q[1], q[3]; crx(0.4304) q[1], q[2]; crx(-0.925) q[1], q[0]; crx(0.7122) q[0], q[3]; crx(0.4304) q[0], q[2]; crx(0.3456) q[0], q[1]; rx(0.2269) q[0]; rz(0.8091) q[0]; rx(-0.0279) q[1]; rz(0.0965) q[1]; rx(0.0319) q[2]; rz(0.247) q[2]; rx(0.1517) q[3]; rz(0.3017) q[3]; rx(-0.2301) q[0]; rz(0.699) q[0]; rx(-0.0538) q[1]; rz(0.024) q[1]; rx(0.0462) q[2]; rz(0.1879) q[2]; rx(0.1548) q[3]; rz(0.2337) q[3]; crx(0.699) q[3], q[2]; crx(0.8337) q[3], q[1]; crx(-0.6533) q[3], q[0]; crx(0.2704) q[2], q[3]; crx(0.8337) q[2], q[1]; crx(-0.6533) q[2], q[0]; crx(0.2704) q[1], q[3]; crx(0.699) q[1], q[2]; crx(-0.6533) q[1], q[0]; crx(0.2704) q[0], q[3]; crx(0.699) q[0], q[2]; crx(0.8337) q[0], q[1]; rx(0.1173) q[0]; rz(0.0011) q[0]; rx(-0.2544) q[1]; rz(0.0037) q[1]; rx(-0.2728) q[2]; rz(0.001) q[2]; rx(-0.2529) q[3]; rz(0.006) q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x8; input float[64] x9; bit[4] c; qubit[4] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; crx(x8) q[3], q[2]; crx(x9) q[3], q[1]; crx(x10) q[3], q[0]; crx(x11) q[2], q[3]; crx(x9) q[2], q[1]; crx(x10) q[2], q[0]; crx(x11) q[1], q[3]; crx(x8) q[1], q[2]; crx(x10) q[1], q[0]; crx(x11) q[0], q[3]; crx(x8) q[0], q[2]; crx(x9) q[0], q[1]; rx(x12) q[0]; rz(x13) q[0]; rx(x14) q[1]; rz(x15) q[1]; rx(x16) q[2]; rz(x17) q[2]; rx(x18) q[3]; rz(x19) q[3]; rx(x20) q[0]; rz(x21) q[0]; rx(x22) q[1]; rz(x23) q[1]; rx(x24) q[2]; rz(x25) q[2]; rx(x26) q[3]; rz(x27) q[3]; crx(x28) q[3], q[2]; crx(x29) q[3], q[1]; crx(x30) q[3], q[0]; crx(x31) q[2], q[3]; crx(x29) q[2], q[1]; crx(x30) q[2], q[0]; crx(x31) q[1], q[3]; crx(x28) q[1], q[2]; crx(x30) q[1], q[0]; crx(x31) q[0], q[3]; crx(x28) q[0], q[2]; crx(x29) q[0], q[1]; rx(x32) q[0]; rz(x33) q[0]; rx(x34) q[1]; rz(x35) q[1]; rx(x36) q[2]; rz(x37) q[2]; rx(x38) q[3]; rz(x39) q[3]; rx(x40) q[0]; rz(x41) q[0]; rx(x42) q[1]; rz(x43) q[1]; rx(x44) q[2]; rz(x45) q[2]; rx(x46) q[3]; rz(x47) q[3]; crx(x48) q[3], q[2]; crx(x49) q[3], q[1]; crx(x50) q[3], q[0]; crx(x51) q[2], q[3]; crx(x49) q[2], q[1]; crx(x50) q[2], q[0]; crx(x51) q[1], q[3]; crx(x48) q[1], q[2]; crx(x50) q[1], q[0]; crx(x51) q[0], q[3]; crx(x48) q[0], q[2]; crx(x49) q[0], q[1]; rx(x52) q[0]; rz(x53) q[0]; rx(x54) q[1]; rz(x55) q[1]; rx(x56) q[2]; rz(x57) q[2]; rx(x58) q[3]; rz(x59) q[3]; rx(x60) q[0]; rz(x61) q[0]; rx(x62) q[1]; rz(x63) q[1]; rx(x64) q[2]; rz(x65) q[2]; rx(x66) q[3]; rz(x67) q[3]; crx(x61) q[3], q[2]; crx(x68) q[3], q[1]; crx(x69) q[3], q[0]; crx(x70) q[2], q[3]; crx(x68) q[2], q[1]; crx(x69) q[2], q[0]; crx(x70) q[1], q[3]; crx(x61) q[1], q[2]; crx(x69) q[1], q[0]; crx(x70) q[0], q[3]; crx(x61) q[0], q[2]; crx(x68) q[0], q[1]; rx(x71) q[0]; rz(x72) q[0]; rx(x73) q[1]; rz(x74) q[1]; rx(x75) q[2]; rz(x76) q[2]; rx(x77) q[3]; rz(x78) q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3];
{"node": 1}
{"circuits": [], "gradients": []}
a491cc1ad860027bed378ec630af854f
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 7, "target": 10}, {"source": 8, "target": 9}, {"source": 9, "target": 10}]}
{"states": [0, 15], "expectation_value": -25.231208210474534, "params": [0.0034000000000000002, 1.3196, 0.0043, 0.0078000000000000005, -0.0012000000000000001, -1.3749, -0.006500000000000001, 0.0006000000000000001, 0.0055000000000000005, -1.8833000000000002, -0.0049, 0.005200000000000001, -0.001, 1.8482, 0.0032, 0.0045000000000000005, 0.0036000000000000003, 1.7845, -0.0038, 0.0077, -0.0026000000000000003, 2.1561, -0.00030000000000000003, 0.006200000000000001, 0.9438000000000001, 0.26630000000000004, -0.7602, 0.0036000000000000003, 1.0314, 0.6454000000000001, 0.5447000000000001, 0.0061, 0.9919, 0.661, -0.0002, 0.0098, 0.8099000000000001, 0.5920000000000001, -0.09820000000000001, 0.0095, -0.0035, 0.0009000000000000001, 0.0027, 0.002, -0.0036000000000000003, 0.0006000000000000001, 2.5187, 0.7291000000000001, 1.1539000000000001, 1.6083], "bitstrings": ["1111111111", "1111110000"], "total_optimization_steps": 340, "probabilities": [0.3591282778905515, 0.4625872247348043], "optimization_time": 59.81879210472107}
1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(5)) + -2.0 * (Z(1) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(1)) + -1.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * Z(4) + -2.5 * Z(3) + -2.0 * Z(5) + 0.5 * Z(0) + 1.0 * Z(1) + 2.0 * Z(2) + 0.5 * Z(9) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(8)
6
10
1
{"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["1111110000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; rx(0.0034) q[0]; rz(1.3196) q[0]; rx(-0.0012) q[1]; rz(-1.3749) q[1]; rx(0.0055) q[2]; rz(-1.8833) q[2]; rx(-0.001) q[3]; rz(1.8482) q[3]; rx(0.0036) q[4]; rz(1.7845) q[4]; rx(-0.0026) q[5]; rz(2.1561) q[5]; rx(0.9438) q[6]; rz(0.2663) q[6]; rx(1.0314) q[7]; rz(0.6454) q[7]; rx(0.9919) q[8]; rz(0.661) q[8]; rx(0.8099) q[9]; rz(0.592) q[9]; crx(1.1539) q[9], q[8]; crx(0.7291) q[9], q[7]; crx(2.5187) q[9], q[6]; crx(0.0006) q[9], q[5]; crx(-0.0036) q[9], q[4]; crx(0.002) q[9], q[3]; crx(0.0027) q[9], q[2]; crx(0.0009) q[9], q[1]; crx(-0.0035) q[9], q[0]; crx(1.6083) q[8], q[9]; crx(0.7291) q[8], q[7]; crx(2.5187) q[8], q[6]; crx(0.0006) q[8], q[5]; crx(-0.0036) q[8], q[4]; crx(0.002) q[8], q[3]; crx(0.0027) q[8], q[2]; crx(0.0009) q[8], q[1]; crx(-0.0035) q[8], q[0]; crx(1.6083) q[7], q[9]; crx(1.1539) q[7], q[8]; crx(2.5187) q[7], q[6]; crx(0.0006) q[7], q[5]; crx(-0.0036) q[7], q[4]; crx(0.002) q[7], q[3]; crx(0.0027) q[7], q[2]; crx(0.0009) q[7], q[1]; crx(-0.0035) q[7], q[0]; crx(1.6083) q[6], q[9]; crx(1.1539) q[6], q[8]; crx(0.7291) q[6], q[7]; crx(0.0006) q[6], q[5]; crx(-0.0036) q[6], q[4]; crx(0.002) q[6], q[3]; crx(0.0027) q[6], q[2]; crx(0.0009) q[6], q[1]; crx(-0.0035) q[6], q[0]; crx(1.6083) q[5], q[9]; crx(1.1539) q[5], q[8]; crx(0.7291) q[5], q[7]; crx(2.5187) q[5], q[6]; crx(-0.0036) q[5], q[4]; crx(0.002) q[5], q[3]; crx(0.0027) q[5], q[2]; crx(0.0009) q[5], q[1]; crx(-0.0035) q[5], q[0]; crx(1.6083) q[4], q[9]; crx(1.1539) q[4], q[8]; crx(0.7291) q[4], q[7]; crx(2.5187) q[4], q[6]; crx(0.0006) q[4], q[5]; crx(0.002) q[4], q[3]; crx(0.0027) q[4], q[2]; crx(0.0009) q[4], q[1]; crx(-0.0035) q[4], q[0]; crx(1.6083) q[3], q[9]; crx(1.1539) q[3], q[8]; crx(0.7291) q[3], q[7]; crx(2.5187) q[3], q[6]; crx(0.0006) q[3], q[5]; crx(-0.0036) q[3], q[4]; crx(0.0027) q[3], q[2]; crx(0.0009) q[3], q[1]; crx(-0.0035) q[3], q[0]; crx(1.6083) q[2], q[9]; crx(1.1539) q[2], q[8]; crx(0.7291) q[2], q[7]; crx(2.5187) q[2], q[6]; crx(0.0006) q[2], q[5]; crx(-0.0036) q[2], q[4]; crx(0.002) q[2], q[3]; crx(0.0009) q[2], q[1]; crx(-0.0035) q[2], q[0]; crx(1.6083) q[1], q[9]; crx(1.1539) q[1], q[8]; crx(0.7291) q[1], q[7]; crx(2.5187) q[1], q[6]; crx(0.0006) q[1], q[5]; crx(-0.0036) q[1], q[4]; crx(0.002) q[1], q[3]; crx(0.0027) q[1], q[2]; crx(-0.0035) q[1], q[0]; crx(1.6083) q[0], q[9]; crx(1.1539) q[0], q[8]; crx(0.7291) q[0], q[7]; crx(2.5187) q[0], q[6]; crx(0.0006) q[0], q[5]; crx(-0.0036) q[0], q[4]; crx(0.002) q[0], q[3]; crx(0.0027) q[0], q[2]; crx(0.0009) q[0], q[1]; rx(0.0043) q[0]; rz(0.0078) q[0]; rx(-0.0065) q[1]; rz(0.0006) q[1]; rx(-0.0049) q[2]; rz(0.0052) q[2]; rx(0.0032) q[3]; rz(0.0045) q[3]; rx(-0.0038) q[4]; rz(0.0077) q[4]; rx(-0.0003) q[5]; rz(0.0062) q[5]; rx(-0.7602) q[6]; rz(0.0036) q[6]; rx(0.5447) q[7]; rz(0.0061) q[7]; rx(-0.0002) q[8]; rz(0.0098) q[8]; rx(-0.0982) q[9]; rz(0.0095) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[9], q[7]; crx(x22) q[9], q[6]; crx(x23) q[9], q[5]; crx(x24) q[9], q[4]; crx(x25) q[9], q[3]; crx(x26) q[9], q[2]; crx(x27) q[9], q[1]; crx(x28) q[9], q[0]; crx(x29) q[8], q[9]; crx(x21) q[8], q[7]; crx(x22) q[8], q[6]; crx(x23) q[8], q[5]; crx(x24) q[8], q[4]; crx(x25) q[8], q[3]; crx(x26) q[8], q[2]; crx(x27) q[8], q[1]; crx(x28) q[8], q[0]; crx(x29) q[7], q[9]; crx(x20) q[7], q[8]; crx(x22) q[7], q[6]; crx(x23) q[7], q[5]; crx(x24) q[7], q[4]; crx(x25) q[7], q[3]; crx(x26) q[7], q[2]; crx(x27) q[7], q[1]; crx(x28) q[7], q[0]; crx(x29) q[6], q[9]; crx(x20) q[6], q[8]; crx(x21) q[6], q[7]; crx(x23) q[6], q[5]; crx(x24) q[6], q[4]; crx(x25) q[6], q[3]; crx(x26) q[6], q[2]; crx(x27) q[6], q[1]; crx(x28) q[6], q[0]; crx(x29) q[5], q[9]; crx(x20) q[5], q[8]; crx(x21) q[5], q[7]; crx(x22) q[5], q[6]; crx(x24) q[5], q[4]; crx(x25) q[5], q[3]; crx(x26) q[5], q[2]; crx(x27) q[5], q[1]; crx(x28) q[5], q[0]; crx(x29) q[4], q[9]; crx(x20) q[4], q[8]; crx(x21) q[4], q[7]; crx(x22) q[4], q[6]; crx(x23) q[4], q[5]; crx(x25) q[4], q[3]; crx(x26) q[4], q[2]; crx(x27) q[4], q[1]; crx(x28) q[4], q[0]; crx(x29) q[3], q[9]; crx(x20) q[3], q[8]; crx(x21) q[3], q[7]; crx(x22) q[3], q[6]; crx(x23) q[3], q[5]; crx(x24) q[3], q[4]; crx(x26) q[3], q[2]; crx(x27) q[3], q[1]; crx(x28) q[3], q[0]; crx(x29) q[2], q[9]; crx(x20) q[2], q[8]; crx(x21) q[2], q[7]; crx(x22) q[2], q[6]; crx(x23) q[2], q[5]; crx(x24) q[2], q[4]; crx(x25) q[2], q[3]; crx(x27) q[2], q[1]; crx(x28) q[2], q[0]; crx(x29) q[1], q[9]; crx(x20) q[1], q[8]; crx(x21) q[1], q[7]; crx(x22) q[1], q[6]; crx(x23) q[1], q[5]; crx(x24) q[1], q[4]; crx(x25) q[1], q[3]; crx(x26) q[1], q[2]; crx(x28) q[1], q[0]; crx(x29) q[0], q[9]; crx(x20) q[0], q[8]; crx(x21) q[0], q[7]; crx(x22) q[0], q[6]; crx(x23) q[0], q[5]; crx(x24) q[0], q[4]; crx(x25) q[0], q[3]; crx(x26) q[0], q[2]; crx(x27) q[0], q[1]; rx(x30) q[0]; rz(x31) q[0]; rx(x32) q[1]; rz(x23) q[1]; rx(x33) q[2]; rz(x34) q[2]; rx(x35) q[3]; rz(x36) q[3]; rx(x37) q[4]; rz(x38) q[4]; rx(x39) q[5]; rz(x40) q[5]; rx(x41) q[6]; rz(x8) q[6]; rx(x42) q[7]; rz(x43) q[7]; rx(x44) q[8]; rz(x45) q[8]; rx(x46) q[9]; rz(x47) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"node": 0}
{"circuits": [], "gradients": []}
b2c25a19a038d07471a5450910ba4971
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]}
{"states": [24, 3], "expectation_value": -1.9224300395397638, "params": [[0.07880000000000001], [-0.0813]], "bitstrings": ["00111", "11100"], "total_optimization_steps": 10, "probabilities": [0.04086295980928291, 0.04209190140312251], "optimization_time": 1.4954886436462402}
1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3)
1
5
1
{"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; cx q[1], q[0]; rz(0.2758) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.2758) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.2758) q[2]; cx q[0], q[2]; cx q[1], q[4]; rz(0.3152) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.3152) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.2758) q[4]; cx q[2], q[4]; cx q[1], q[3]; rz(0.3152) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.3152) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.3152) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(0.2758) q[3]; cx q[4], q[3]; rz(-0.394) q[1]; rz(-0.394) q[0]; rz(-0.4334) q[2]; rz(-0.394) q[4]; rz(-0.3546) q[3]; h q[0]; rz(-0.1626) q[0]; h q[0]; h q[1]; rz(-0.1626) q[1]; h q[1]; h q[2]; rz(-0.1626) q[2]; h q[2]; h q[3]; rz(-0.1626) q[3]; h q[3]; h q[4]; rz(-0.1626) q[4]; h q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[1], q[3]; rz(x1) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x1) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x1) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; rz(x2) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x2) q[4]; rz(x4) q[3]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"k": 3}
{"circuits": [], "gradients": []}
5bfd79024282ae69c62758a244a2de56
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]}
{"states": [45, 44], "expectation_value": -1.7549659334196148, "params": [[[0.6078, 0.0024000000000000002], [-0.0067, 0.2852], [0.6032000000000001, -0.0006000000000000001], [0.5691, 0.006200000000000001], [0.0022, -0.2843], [0.4811, -0.0699]], [[0.6077, 0.0024000000000000002], [-0.0044, 0.28550000000000003], [0.6017, -0.0006000000000000001], [0.5699000000000001, 0.006200000000000001], [-0.0058000000000000005, -0.2838], [0.4872, -0.0699]], [[0.6095, 0.001], [0.0008, 0.0047], [0.6098, 0.006], [0.5708, 0.0004], [-0.0048000000000000004, 0.0012000000000000001], [0.48190000000000005, 0.0012000000000000001]]], "bitstrings": ["010010", "010011"], "total_optimization_steps": 60, "probabilities": [0.09692429886880159, 0.12417696976842213], "optimization_time": 13.002082347869873}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5)
1
6
3
{"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; rx(0.6078) q[0]; rz(0.0024) q[0]; rx(-0.0067) q[1]; rz(0.2852) q[1]; rx(0.6032) q[2]; rz(-0.0006) q[2]; rx(0.5691) q[3]; rz(0.0062) q[3]; rx(0.0022) q[4]; rz(-0.2843) q[4]; rx(0.4811) q[5]; rz(-0.0699) q[5]; rx(0.6077) q[0]; rz(0.0024) q[0]; rx(-0.0044) q[1]; rz(0.2855) q[1]; rx(0.6017) q[2]; rz(-0.0006) q[2]; rx(0.5699) q[3]; rz(0.0062) q[3]; rx(-0.0058) q[4]; rz(-0.2838) q[4]; rx(0.4872) q[5]; rz(-0.0699) q[5]; rx(0.6095) q[0]; rz(0.001) q[0]; rx(0.0008) q[1]; rz(0.0047) q[1]; rx(0.6098) q[2]; rz(0.006) q[2]; rx(0.5708) q[3]; rz(0.0004) q[3]; rx(-0.0048) q[4]; rz(0.0012) q[4]; rx(0.4819) q[5]; rz(0.0012) q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[0]; rz(x1) q[0]; rx(x13) q[1]; rz(x14) q[1]; rx(x15) q[2]; rz(x5) q[2]; rx(x16) q[3]; rz(x7) q[3]; rx(x17) q[4]; rz(x18) q[4]; rx(x19) q[5]; rz(x11) q[5]; rx(x20) q[0]; rz(x21) q[0]; rx(x22) q[1]; rz(x23) q[1]; rx(x24) q[2]; rz(x25) q[2]; rx(x26) q[3]; rz(x27) q[3]; rx(x28) q[4]; rz(x29) q[4]; rx(x30) q[5]; rz(x29) q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
9fa2c1c0efc57c7f335d8a3e17939b3e
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 3, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 10}, {"weight": 1, "source": 1, "target": 8}, {"weight": 9, "source": 2, "target": 9}, {"weight": 10, "source": 3, "target": 10}, {"weight": 5, "source": 4, "target": 11}, {"weight": 13, "source": 4, "target": 8}, {"weight": 9, "source": 5, "target": 12}, {"weight": 18, "source": 5, "target": 11}, {"weight": 7, "source": 6, "target": 13}, {"weight": 20, "source": 6, "target": 7}, {"weight": 20, "source": 6, "target": 9}]}
{"states": [2098, 2099], "expectation_value": -92.52201635545805, "params": [[0.8021, 0.1076, 0.0013000000000000002, 0.0025, -0.0748, 0.3791, 0.3014, 0.8004, 0.00030000000000000003, -0.0472, 0.7959, 0.18030000000000002], [0.7959, 0.1388, 0.0017000000000000001, 0.0053, -0.12810000000000002, 0.2802, -0.0158, 0.5661, -0.005200000000000001, -0.0408, 0.792, 0.14450000000000002], [0.7998000000000001, 0.1696, 0.0017000000000000001, -0.0007, 0.09870000000000001, 0.3678, 0.7941, 0.8002, -0.19390000000000002, -0.014, 0.7903, 0.7998000000000001], [0.1971, 0.5671, 0.0017000000000000001, 0.0015, 0.11810000000000001, 0.2741, -0.016900000000000002, 0.1714, 0.0095, 0.18100000000000002, 0.17750000000000002, 0.36970000000000003], [0.38380000000000003, 0.4113, 0.0017000000000000001, 0.004200000000000001, 0.0128, 0.1431, 0.7958000000000001, 0.7971, 0.1995, 0.42250000000000004, 0.7122, 0.7937000000000001]], "bitstrings": ["011111001101", "011111001100"], "total_optimization_steps": 80, "probabilities": [0.12986449608219408, 0.2527343028513867], "optimization_time": 11.05237865447998}
8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(3) @ Z(11)) + 6.5 * Z(0) + 1.5 * Z(1) + -3.0 * Z(4) + 6.5 * Z(6) + -7.5 * Z(2) + 2.5 * Z(5) + 9.0 * Z(7) + -3.5 * Z(8) + 18.0 * Z(10) + 3.5 * Z(9) + 18.0 * Z(11) + -3.5 * Z(3)
10
12
4
{"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["011111001100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; ry(0.8021) q[0]; ry(0.1076) q[1]; ry(0.0013) q[2]; ry(0.0025) q[3]; ry(-0.0748) q[4]; ry(0.3791) q[5]; ry(0.3014) q[6]; ry(0.8004) q[7]; ry(0.0003) q[8]; ry(-0.0472) q[9]; ry(0.7959) q[10]; ry(0.1803) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.7959) q[0]; ry(0.1388) q[1]; ry(0.0017) q[2]; ry(0.0053) q[3]; ry(-0.1281) q[4]; ry(0.2802) q[5]; ry(-0.0158) q[6]; ry(0.5661) q[7]; ry(-0.0052) q[8]; ry(-0.0408) q[9]; ry(0.792) q[10]; ry(0.1445) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.7998) q[0]; ry(0.1696) q[1]; ry(0.0017) q[2]; ry(-0.0007) q[3]; ry(0.0987) q[4]; ry(0.3678) q[5]; ry(0.7941) q[6]; ry(0.8002) q[7]; ry(-0.1939) q[8]; ry(-0.014) q[9]; ry(0.7903) q[10]; ry(0.7998) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.1971) q[0]; ry(0.5671) q[1]; ry(0.0017) q[2]; ry(0.0015) q[3]; ry(0.1181) q[4]; ry(0.2741) q[5]; ry(-0.0169) q[6]; ry(0.1714) q[7]; ry(0.0095) q[8]; ry(0.181) q[9]; ry(0.1775) q[10]; ry(0.3697) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.3838) q[0]; ry(0.4113) q[1]; ry(0.0017) q[2]; ry(0.0042) q[3]; ry(0.0128) q[4]; ry(0.1431) q[5]; ry(0.7958) q[6]; ry(0.7971) q[7]; ry(0.1995) q[8]; ry(0.4225) q[9]; ry(0.7122) q[10]; ry(0.7937) q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x10) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; ry(x22) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x23) q[0]; ry(x24) q[1]; ry(x13) q[2]; ry(x25) q[3]; ry(x26) q[4]; ry(x27) q[5]; ry(x28) q[6]; ry(x29) q[7]; ry(x30) q[8]; ry(x31) q[9]; ry(x32) q[10]; ry(x23) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x33) q[0]; ry(x34) q[1]; ry(x13) q[2]; ry(x35) q[3]; ry(x36) q[4]; ry(x37) q[5]; ry(x38) q[6]; ry(x39) q[7]; ry(x40) q[8]; ry(x41) q[9]; ry(x42) q[10]; ry(x43) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x44) q[0]; ry(x45) q[1]; ry(x13) q[2]; ry(x46) q[3]; ry(x47) q[4]; ry(x48) q[5]; ry(x49) q[6]; ry(x50) q[7]; ry(x51) q[8]; ry(x52) q[9]; ry(x53) q[10]; ry(x54) q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
01c509cf41fe904ef36f9c73fa58f4df
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]}
{"states": [114, 82], "expectation_value": -2.517551471545384, "params": [[[-0.002, 0.6317], [0.8583000000000001, 0.002], [0.7261000000000001, 0.033], [0.9081, -0.0011], [-0.0033, 0.6711], [0.6959000000000001, 0.0847], [0.8652000000000001, -0.0025], [-0.0022, 0.6512]], [[-0.002, 0.0085], [0.861, 0.0089], [0.7239, 0.0039000000000000003], [0.9037000000000001, 0.0015], [-0.0033, 0.0044], [0.6978000000000001, 0.0091], [0.8676, 0.0002], [-0.0022, 0.0001]]], "bitstrings": ["10001101", "10101101"], "total_optimization_steps": 90, "probabilities": [0.05343266053580899, 0.06810487748785783], "optimization_time": 6.358650207519531}
0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(2) @ Z(3) @ Z(6)) + -0.125 * (Z(2) @ Z(3) @ Z(7)) + -0.125 * (Z(2) @ Z(7) @ Z(6)) + -0.125 * (Z(7) @ Z(3) @ Z(6)) + 0.125 * (Z(2) @ Z(3) @ Z(6) @ Z(7)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.125 * Z(2) + -0.125 * Z(3) + -0.75 * Z(4) + -0.25 * Z(5) + -0.125 * Z(6) + -0.625 * Z(7)
1
8
2
{"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.875, "smallest_bitstrings": ["10101011", "10101101", "11001011", "11001101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(-0.002) q[0]; rz(0.6317) q[0]; rx(0.8583) q[1]; rz(0.002) q[1]; rx(0.7261) q[2]; rz(0.033) q[2]; rx(0.9081) q[3]; rz(-0.0011) q[3]; rx(-0.0033) q[4]; rz(0.6711) q[4]; rx(0.6959) q[5]; rz(0.0847) q[5]; rx(0.8652) q[6]; rz(-0.0025) q[6]; rx(-0.0022) q[7]; rz(0.6512) q[7]; rx(-0.002) q[0]; rz(0.0085) q[0]; rx(0.861) q[1]; rz(0.0089) q[1]; rx(0.7239) q[2]; rz(0.0039) q[2]; rx(0.9037) q[3]; rz(0.0015) q[3]; rx(-0.0033) q[4]; rz(0.0044) q[4]; rx(0.6978) q[5]; rz(0.0091) q[5]; rx(0.8676) q[6]; rz(0.0002) q[6]; rx(-0.0022) q[7]; rz(0.0001) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x0) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; rx(x21) q[3]; rz(x22) q[3]; rx(x8) q[4]; rz(x23) q[4]; rx(x24) q[5]; rz(x25) q[5]; rx(x26) q[6]; rz(x27) q[6]; rx(x14) q[7]; rz(x28) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
65bd080f0b079dce89fa5bd7d6b7272b
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 7, "target": 10}, {"source": 8, "target": 10}, {"source": 9, "target": 10}]}
{"states": [351, 383], "expectation_value": -10.07804833949893, "params": [0.0025, 1.7386000000000001, 0.0029000000000000002, 0.005200000000000001, -0.626, -0.042, 0.07780000000000001, 0.0055000000000000005, -0.0029000000000000002, 1.492, -0.0026000000000000003, 0.0063, 1.1024, 0.6373, -0.7663000000000001, 0.0013000000000000002, 1.1227, 1.2175, -0.595, 0.009600000000000001, -1.1637, 1.4506000000000001, -0.7808, 0.0095, -1.1660000000000001, 1.6138000000000001, -0.7071000000000001, 0.0011, -1.1129, 1.6654, -0.30360000000000004, 0.001, -1.0877000000000001, 1.7631000000000001, -0.1358, 0.0035, -1.1435, 1.8195000000000001, 0.3539, 0.0023, -0.0015, -0.8053, -0.0027, 1.3969, 1.5795000000000001, -0.4234, -0.4393, -0.5438000000000001, -0.56, -0.6467], "bitstrings": ["1010100000", "1010000000"], "total_optimization_steps": 280, "probabilities": [0.1987328066298074, 0.20028476957743668], "optimization_time": 33.05298686027527}
-1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9)
6
10
1
{"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1010000000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; rx(0.0025) q[0]; rz(1.7386) q[0]; rx(-0.626) q[1]; rz(-0.042) q[1]; rx(-0.0029) q[2]; rz(1.492) q[2]; rx(1.1024) q[3]; rz(0.6373) q[3]; rx(1.1227) q[4]; rz(1.2175) q[4]; rx(-1.1637) q[5]; rz(1.4506) q[5]; rx(-1.166) q[6]; rz(1.6138) q[6]; rx(-1.1129) q[7]; rz(1.6654) q[7]; rx(-1.0877) q[8]; rz(1.7631) q[8]; rx(-1.1435) q[9]; rz(1.8195) q[9]; crx(-0.56) q[9], q[8]; crx(-0.5438) q[9], q[7]; crx(-0.4393) q[9], q[6]; crx(-0.4234) q[9], q[5]; crx(1.5795) q[9], q[4]; crx(1.3969) q[9], q[3]; crx(-0.0027) q[9], q[2]; crx(-0.8053) q[9], q[1]; crx(-0.0015) q[9], q[0]; crx(-0.6467) q[8], q[9]; crx(-0.5438) q[8], q[7]; crx(-0.4393) q[8], q[6]; crx(-0.4234) q[8], q[5]; crx(1.5795) q[8], q[4]; crx(1.3969) q[8], q[3]; crx(-0.0027) q[8], q[2]; crx(-0.8053) q[8], q[1]; crx(-0.0015) q[8], q[0]; crx(-0.6467) q[7], q[9]; crx(-0.56) q[7], q[8]; crx(-0.4393) q[7], q[6]; crx(-0.4234) q[7], q[5]; crx(1.5795) q[7], q[4]; crx(1.3969) q[7], q[3]; crx(-0.0027) q[7], q[2]; crx(-0.8053) q[7], q[1]; crx(-0.0015) q[7], q[0]; crx(-0.6467) q[6], q[9]; crx(-0.56) q[6], q[8]; crx(-0.5438) q[6], q[7]; crx(-0.4234) q[6], q[5]; crx(1.5795) q[6], q[4]; crx(1.3969) q[6], q[3]; crx(-0.0027) q[6], q[2]; crx(-0.8053) q[6], q[1]; crx(-0.0015) q[6], q[0]; crx(-0.6467) q[5], q[9]; crx(-0.56) q[5], q[8]; crx(-0.5438) q[5], q[7]; crx(-0.4393) q[5], q[6]; crx(1.5795) q[5], q[4]; crx(1.3969) q[5], q[3]; crx(-0.0027) q[5], q[2]; crx(-0.8053) q[5], q[1]; crx(-0.0015) q[5], q[0]; crx(-0.6467) q[4], q[9]; crx(-0.56) q[4], q[8]; crx(-0.5438) q[4], q[7]; crx(-0.4393) q[4], q[6]; crx(-0.4234) q[4], q[5]; crx(1.3969) q[4], q[3]; crx(-0.0027) q[4], q[2]; crx(-0.8053) q[4], q[1]; crx(-0.0015) q[4], q[0]; crx(-0.6467) q[3], q[9]; crx(-0.56) q[3], q[8]; crx(-0.5438) q[3], q[7]; crx(-0.4393) q[3], q[6]; crx(-0.4234) q[3], q[5]; crx(1.5795) q[3], q[4]; crx(-0.0027) q[3], q[2]; crx(-0.8053) q[3], q[1]; crx(-0.0015) q[3], q[0]; crx(-0.6467) q[2], q[9]; crx(-0.56) q[2], q[8]; crx(-0.5438) q[2], q[7]; crx(-0.4393) q[2], q[6]; crx(-0.4234) q[2], q[5]; crx(1.5795) q[2], q[4]; crx(1.3969) q[2], q[3]; crx(-0.8053) q[2], q[1]; crx(-0.0015) q[2], q[0]; crx(-0.6467) q[1], q[9]; crx(-0.56) q[1], q[8]; crx(-0.5438) q[1], q[7]; crx(-0.4393) q[1], q[6]; crx(-0.4234) q[1], q[5]; crx(1.5795) q[1], q[4]; crx(1.3969) q[1], q[3]; crx(-0.0027) q[1], q[2]; crx(-0.0015) q[1], q[0]; crx(-0.6467) q[0], q[9]; crx(-0.56) q[0], q[8]; crx(-0.5438) q[0], q[7]; crx(-0.4393) q[0], q[6]; crx(-0.4234) q[0], q[5]; crx(1.5795) q[0], q[4]; crx(1.3969) q[0], q[3]; crx(-0.0027) q[0], q[2]; crx(-0.8053) q[0], q[1]; rx(0.0029) q[0]; rz(0.0052) q[0]; rx(0.0778) q[1]; rz(0.0055) q[1]; rx(-0.0026) q[2]; rz(0.0063) q[2]; rx(-0.7663) q[3]; rz(0.0013) q[3]; rx(-0.595) q[4]; rz(0.0096) q[4]; rx(-0.7808) q[5]; rz(0.0095) q[5]; rx(-0.7071) q[6]; rz(0.0011) q[6]; rx(-0.3036) q[7]; rz(0.001) q[7]; rx(-0.1358) q[8]; rz(0.0035) q[8]; rx(0.3539) q[9]; rz(0.0023) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[9], q[7]; crx(x22) q[9], q[6]; crx(x23) q[9], q[5]; crx(x24) q[9], q[4]; crx(x25) q[9], q[3]; crx(x26) q[9], q[2]; crx(x27) q[9], q[1]; crx(x28) q[9], q[0]; crx(x29) q[8], q[9]; crx(x21) q[8], q[7]; crx(x22) q[8], q[6]; crx(x23) q[8], q[5]; crx(x24) q[8], q[4]; crx(x25) q[8], q[3]; crx(x26) q[8], q[2]; crx(x27) q[8], q[1]; crx(x28) q[8], q[0]; crx(x29) q[7], q[9]; crx(x20) q[7], q[8]; crx(x22) q[7], q[6]; crx(x23) q[7], q[5]; crx(x24) q[7], q[4]; crx(x25) q[7], q[3]; crx(x26) q[7], q[2]; crx(x27) q[7], q[1]; crx(x28) q[7], q[0]; crx(x29) q[6], q[9]; crx(x20) q[6], q[8]; crx(x21) q[6], q[7]; crx(x23) q[6], q[5]; crx(x24) q[6], q[4]; crx(x25) q[6], q[3]; crx(x26) q[6], q[2]; crx(x27) q[6], q[1]; crx(x28) q[6], q[0]; crx(x29) q[5], q[9]; crx(x20) q[5], q[8]; crx(x21) q[5], q[7]; crx(x22) q[5], q[6]; crx(x24) q[5], q[4]; crx(x25) q[5], q[3]; crx(x26) q[5], q[2]; crx(x27) q[5], q[1]; crx(x28) q[5], q[0]; crx(x29) q[4], q[9]; crx(x20) q[4], q[8]; crx(x21) q[4], q[7]; crx(x22) q[4], q[6]; crx(x23) q[4], q[5]; crx(x25) q[4], q[3]; crx(x26) q[4], q[2]; crx(x27) q[4], q[1]; crx(x28) q[4], q[0]; crx(x29) q[3], q[9]; crx(x20) q[3], q[8]; crx(x21) q[3], q[7]; crx(x22) q[3], q[6]; crx(x23) q[3], q[5]; crx(x24) q[3], q[4]; crx(x26) q[3], q[2]; crx(x27) q[3], q[1]; crx(x28) q[3], q[0]; crx(x29) q[2], q[9]; crx(x20) q[2], q[8]; crx(x21) q[2], q[7]; crx(x22) q[2], q[6]; crx(x23) q[2], q[5]; crx(x24) q[2], q[4]; crx(x25) q[2], q[3]; crx(x27) q[2], q[1]; crx(x28) q[2], q[0]; crx(x29) q[1], q[9]; crx(x20) q[1], q[8]; crx(x21) q[1], q[7]; crx(x22) q[1], q[6]; crx(x23) q[1], q[5]; crx(x24) q[1], q[4]; crx(x25) q[1], q[3]; crx(x26) q[1], q[2]; crx(x28) q[1], q[0]; crx(x29) q[0], q[9]; crx(x20) q[0], q[8]; crx(x21) q[0], q[7]; crx(x22) q[0], q[6]; crx(x23) q[0], q[5]; crx(x24) q[0], q[4]; crx(x25) q[0], q[3]; crx(x26) q[0], q[2]; crx(x27) q[0], q[1]; rx(x30) q[0]; rz(x31) q[0]; rx(x32) q[1]; rz(x33) q[1]; rx(x34) q[2]; rz(x35) q[2]; rx(x36) q[3]; rz(x37) q[3]; rx(x38) q[4]; rz(x39) q[4]; rx(x40) q[5]; rz(x41) q[5]; rx(x42) q[6]; rz(x43) q[6]; rx(x44) q[7]; rz(x45) q[7]; rx(x46) q[8]; rz(x47) q[8]; rx(x48) q[9]; rz(x49) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"node": 0}
{"circuits": [], "gradients": []}
d3ade3a8101a76a5368810932e8e6702
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 3, "source": 4, "target": 1}, {"capacity": 5, "source": 4, "target": 3}, {"capacity": 2, "source": 4, "target": 6}, {"capacity": 4, "source": 5, "target": 4}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 1, "source": 6, "target": 2}, {"capacity": 6, "source": 6, "target": 3}, {"capacity": 6, "source": 6, "target": 7}, {"capacity": 6, "source": 7, "target": 1}, {"capacity": 2, "source": 7, "target": 2}, {"capacity": 2, "source": 7, "target": 5}]}
{"states": [0, 1], "expectation_value": -20.433890648082507, "params": [0.0033, 0.0053, 0.0026000000000000003, 0.0054, 0.0023, 0.0061, 0.0023, 0.0009000000000000001, 0.0023, 0.0009000000000000001, 0.0024000000000000002, 0.008400000000000001, 0.0024000000000000002, 0.0051, 0.0023, 0.0054, 1.5991, 0.0058000000000000005, 0.0077, 0.0038, 0.0049, 0.0098, 0.0024000000000000002, 0.0037, 0.0005, 0.0031000000000000003], "bitstrings": ["111111111", "111111110"], "total_optimization_steps": 160, "probabilities": [0.4858396642264147, 0.5141478230919703], "optimization_time": 21.504795789718628}
-0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 3.25 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -2.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + 1.5 * Z(6) + 3.25 * Z(8) + -0.25 * Z(5) + -0.25 * Z(7) + -2.25 * Z(3)
3
9
1
{"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["111111110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(0.0033) q[0]; rz(0.0053) q[0]; rx(0.0026) q[1]; rz(0.0054) q[1]; rx(0.0023) q[2]; rz(0.0061) q[2]; rx(0.0023) q[3]; rz(0.0009) q[3]; rx(0.0023) q[4]; rz(0.0009) q[4]; rx(0.0024) q[5]; rz(0.0084) q[5]; rx(0.0024) q[6]; rz(0.0051) q[6]; rx(0.0023) q[7]; rz(0.0054) q[7]; rx(1.5991) q[8]; rz(0.0058) q[8]; crz(0.0031) q[8], q[7]; crz(0.0005) q[7], q[6]; crz(0.0037) q[6], q[5]; crz(0.0024) q[5], q[4]; crz(0.0098) q[4], q[3]; crz(0.0049) q[3], q[2]; crz(0.0038) q[2], q[1]; crz(0.0077) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x4) q[3]; rz(x6) q[3]; rx(x4) q[4]; rz(x6) q[4]; rx(x7) q[5]; rz(x8) q[5]; rx(x7) q[6]; rz(x9) q[6]; rx(x4) q[7]; rz(x3) q[7]; rx(x10) q[8]; rz(x11) q[8]; crz(x12) q[8], q[7]; crz(x13) q[7], q[6]; crz(x14) q[6], q[5]; crz(x7) q[5], q[4]; crz(x15) q[4], q[3]; crz(x16) q[3], q[2]; crz(x17) q[2], q[1]; crz(x18) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"source": 0, "sink": 8}
{"circuits": [], "gradients": []}
3789566374932828419
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 3], [2, 3]]}
{"states": [5, 9], "expectation_value": -0.013914694412154316, "params": [[-0.0653], [0.07200000000000001]], "bitstrings": ["1010", "0110"], "total_optimization_steps": 10, "probabilities": [0.06425065708211596, 0.06425065708211598], "optimization_time": 0.7648575305938721}
0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(2)
1
4
1
{"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[4] c; qubit[4] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[1], q[0]; rz(-0.0218) q[0]; cx q[1], q[0]; cx q[1], q[3]; rz(-0.0218) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.0218) q[3]; cx q[0], q[3]; cx q[3], q[2]; rz(-0.0653) q[2]; cx q[3], q[2]; rz(-0.0218) q[1]; rz(-0.0218) q[0]; rz(-0.0218) q[3]; rz(0) q[2]; h q[0]; rz(0.144) q[0]; h q[0]; h q[1]; rz(0.144) q[1]; h q[1]; h q[2]; rz(0.144) q[2]; h q[2]; h q[3]; rz(0.144) q[3]; h q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; bit[4] c; qubit[4] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[3], q[2]; rz(x1) q[2]; cx q[3], q[2]; rz(x0) q[1]; rz(x0) q[0]; rz(x0) q[3]; rz(x2) q[2]; h q[0]; rz(x3) q[0]; h q[0]; h q[1]; rz(x3) q[1]; h q[1]; h q[2]; rz(x3) q[2]; h q[2]; h q[3]; rz(x3) q[3]; h q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3];
null
{"circuits": [], "gradients": []}
bbe36c72142a04c8b1698fed3f77c25c
kclique
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]}
{"states": [19, 17], "expectation_value": -4.285657307330394, "params": [[[1.8785, 0.006200000000000001], [0.4121, 0.003], [0.4005, 0.0027], [1.5250000000000001, 0.0081], [1.7675, 0.0039000000000000003]]], "bitstrings": ["01100", "01110"], "total_optimization_steps": 190, "probabilities": [0.17095867445118992, 0.1873716063597612], "optimization_time": 3.149779796600342}
1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)
1
5
1
{"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; rx(1.8785) q[0]; rz(0.0062) q[0]; rx(0.4121) q[1]; rz(0.003) q[1]; rx(0.4005) q[2]; rz(0.0027) q[2]; rx(1.525) q[3]; rz(0.0081) q[3]; rx(1.7675) q[4]; rz(0.0039) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[5] c; qubit[5] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"k": 3}
{"circuits": [], "gradients": []}
9101164083063659977
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 6], [1, 3], [0, 1], [1, 5, 7], [2, 7], [8, 6, 7], [0, 3], [0, 2]]}
{"states": [422, 390], "expectation_value": -0.7216074567839683, "params": [0.8037000000000001, -0.0734, 0.805, 0.0012000000000000001, 0.8017000000000001, -0.0534, 0.8043, 0.0016, 0.8046000000000001, 0.1078, 0.7071000000000001, 0.0097, 0.7993, 0.08020000000000001, 0.7185, 0.009000000000000001, 0.7976000000000001, 0.0304, 0.5366000000000001, 0.007200000000000001, 0.7788, 0.15030000000000002, 0.5705, 0.0021000000000000003, 0.8017000000000001, -0.0828, 0.8036000000000001, 0.0025, 0.7983, -0.0786, 0.7987000000000001, 0.0082, 0.8016000000000001, -0.009300000000000001, 0.8003, 0.007, -0.0579, 0.767, -0.31270000000000003, -0.2913, -0.4431, -0.2353, 0.5569000000000001, 0.5466, -0.461], "bitstrings": ["001011001", "001111001"], "total_optimization_steps": 80, "probabilities": [0.04464171349991598, 0.08391799983933214], "optimization_time": 42.325987577438354}
0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.0 * Z(4) + 0.16666666666666652 * Z(1) + 0.16666666666666663 * Z(5) + 0.16666666666666663 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.3333333333333335 * Z(7) + 0.0 * Z(2) + 0.16666666666666666 * Z(8)
6
9
1
{"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665, -3.1666666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["001111001", "011000100", "011100100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(0.8037) q[0]; rz(-0.0734) q[0]; rx(0.8017) q[1]; rz(-0.0534) q[1]; rx(0.8046) q[2]; rz(0.1078) q[2]; rx(0.7993) q[3]; rz(0.0802) q[3]; rx(0.7976) q[4]; rz(0.0304) q[4]; rx(0.7788) q[5]; rz(0.1503) q[5]; rx(0.8017) q[6]; rz(-0.0828) q[6]; rx(0.7983) q[7]; rz(-0.0786) q[7]; rx(0.8016) q[8]; rz(-0.0093) q[8]; crx(0.5466) q[8], q[7]; crx(0.5569) q[8], q[6]; crx(-0.2353) q[8], q[5]; crx(-0.4431) q[8], q[4]; crx(-0.2913) q[8], q[3]; crx(-0.3127) q[8], q[2]; crx(0.767) q[8], q[1]; crx(-0.0579) q[8], q[0]; crx(-0.461) q[7], q[8]; crx(0.5569) q[7], q[6]; crx(-0.2353) q[7], q[5]; crx(-0.4431) q[7], q[4]; crx(-0.2913) q[7], q[3]; crx(-0.3127) q[7], q[2]; crx(0.767) q[7], q[1]; crx(-0.0579) q[7], q[0]; crx(-0.461) q[6], q[8]; crx(0.5466) q[6], q[7]; crx(-0.2353) q[6], q[5]; crx(-0.4431) q[6], q[4]; crx(-0.2913) q[6], q[3]; crx(-0.3127) q[6], q[2]; crx(0.767) q[6], q[1]; crx(-0.0579) q[6], q[0]; crx(-0.461) q[5], q[8]; crx(0.5466) q[5], q[7]; crx(0.5569) q[5], q[6]; crx(-0.4431) q[5], q[4]; crx(-0.2913) q[5], q[3]; crx(-0.3127) q[5], q[2]; crx(0.767) q[5], q[1]; crx(-0.0579) q[5], q[0]; crx(-0.461) q[4], q[8]; crx(0.5466) q[4], q[7]; crx(0.5569) q[4], q[6]; crx(-0.2353) q[4], q[5]; crx(-0.2913) q[4], q[3]; crx(-0.3127) q[4], q[2]; crx(0.767) q[4], q[1]; crx(-0.0579) q[4], q[0]; crx(-0.461) q[3], q[8]; crx(0.5466) q[3], q[7]; crx(0.5569) q[3], q[6]; crx(-0.2353) q[3], q[5]; crx(-0.4431) q[3], q[4]; crx(-0.3127) q[3], q[2]; crx(0.767) q[3], q[1]; crx(-0.0579) q[3], q[0]; crx(-0.461) q[2], q[8]; crx(0.5466) q[2], q[7]; crx(0.5569) q[2], q[6]; crx(-0.2353) q[2], q[5]; crx(-0.4431) q[2], q[4]; crx(-0.2913) q[2], q[3]; crx(0.767) q[2], q[1]; crx(-0.0579) q[2], q[0]; crx(-0.461) q[1], q[8]; crx(0.5466) q[1], q[7]; crx(0.5569) q[1], q[6]; crx(-0.2353) q[1], q[5]; crx(-0.4431) q[1], q[4]; crx(-0.2913) q[1], q[3]; crx(-0.3127) q[1], q[2]; crx(-0.0579) q[1], q[0]; crx(-0.461) q[0], q[8]; crx(0.5466) q[0], q[7]; crx(0.5569) q[0], q[6]; crx(-0.2353) q[0], q[5]; crx(-0.4431) q[0], q[4]; crx(-0.2913) q[0], q[3]; crx(-0.3127) q[0], q[2]; crx(0.767) q[0], q[1]; rx(0.805) q[0]; rz(0.0012) q[0]; rx(0.8043) q[1]; rz(0.0016) q[1]; rx(0.7071) q[2]; rz(0.0097) q[2]; rx(0.7185) q[3]; rz(0.009) q[3]; rx(0.5366) q[4]; rz(0.0072) q[4]; rx(0.5705) q[5]; rz(0.0021) q[5]; rx(0.8036) q[6]; rz(0.0025) q[6]; rx(0.7987) q[7]; rz(0.0082) q[7]; rx(0.8003) q[8]; rz(0.007) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x2) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[8]; rz(x16) q[8]; crx(x17) q[8], q[7]; crx(x18) q[8], q[6]; crx(x19) q[8], q[5]; crx(x20) q[8], q[4]; crx(x21) q[8], q[3]; crx(x22) q[8], q[2]; crx(x23) q[8], q[1]; crx(x24) q[8], q[0]; crx(x25) q[7], q[8]; crx(x18) q[7], q[6]; crx(x19) q[7], q[5]; crx(x20) q[7], q[4]; crx(x21) q[7], q[3]; crx(x22) q[7], q[2]; crx(x23) q[7], q[1]; crx(x24) q[7], q[0]; crx(x25) q[6], q[8]; crx(x17) q[6], q[7]; crx(x19) q[6], q[5]; crx(x20) q[6], q[4]; crx(x21) q[6], q[3]; crx(x22) q[6], q[2]; crx(x23) q[6], q[1]; crx(x24) q[6], q[0]; crx(x25) q[5], q[8]; crx(x17) q[5], q[7]; crx(x18) q[5], q[6]; crx(x20) q[5], q[4]; crx(x21) q[5], q[3]; crx(x22) q[5], q[2]; crx(x23) q[5], q[1]; crx(x24) q[5], q[0]; crx(x25) q[4], q[8]; crx(x17) q[4], q[7]; crx(x18) q[4], q[6]; crx(x19) q[4], q[5]; crx(x21) q[4], q[3]; crx(x22) q[4], q[2]; crx(x23) q[4], q[1]; crx(x24) q[4], q[0]; crx(x25) q[3], q[8]; crx(x17) q[3], q[7]; crx(x18) q[3], q[6]; crx(x19) q[3], q[5]; crx(x20) q[3], q[4]; crx(x22) q[3], q[2]; crx(x23) q[3], q[1]; crx(x24) q[3], q[0]; crx(x25) q[2], q[8]; crx(x17) q[2], q[7]; crx(x18) q[2], q[6]; crx(x19) q[2], q[5]; crx(x20) q[2], q[4]; crx(x21) q[2], q[3]; crx(x23) q[2], q[1]; crx(x24) q[2], q[0]; crx(x25) q[1], q[8]; crx(x17) q[1], q[7]; crx(x18) q[1], q[6]; crx(x19) q[1], q[5]; crx(x20) q[1], q[4]; crx(x21) q[1], q[3]; crx(x22) q[1], q[2]; crx(x24) q[1], q[0]; crx(x25) q[0], q[8]; crx(x17) q[0], q[7]; crx(x18) q[0], q[6]; crx(x19) q[0], q[5]; crx(x20) q[0], q[4]; crx(x21) q[0], q[3]; crx(x22) q[0], q[2]; crx(x23) q[0], q[1]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
4728709783523296323
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 6], [4, 6], [2, 5], [0, 5], [1, 3], [3, 4], [3, 6], [2, 3], [1, 2], [2, 6], [3, 5], [5, 6]]}
{"states": [11, 116], "expectation_value": -0.16251768022501473, "params": [[0.0779], [-0.0839]], "bitstrings": ["1110100", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008857381869738515, 0.008857381869738515], "optimization_time": 1.9191761016845703}
0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3)
1
7
1
{"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001011", "1110100", "1011001", "0110110", "0101010", "1011100", "0100011", "0100110", "1001001", "1010101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[5], q[4]; rz(0.0779) q[4]; cx q[5], q[4]; cx q[5], q[6]; rz(0.0779) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(0.0779) q[6]; cx q[4], q[6]; cx q[6], q[1]; rz(0.0779) q[1]; cx q[6], q[1]; cx q[5], q[2]; rz(0.0779) q[2]; cx q[5], q[2]; cx q[6], q[2]; rz(0.0779) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(0.0779) q[2]; cx q[1], q[2]; cx q[5], q[0]; rz(0.0779) q[0]; cx q[5], q[0]; cx q[5], q[3]; rz(0.0779) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(0.0779) q[3]; cx q[4], q[3]; cx q[6], q[3]; rz(0.0779) q[3]; cx q[6], q[3]; cx q[1], q[3]; rz(0.0779) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(0.0779) q[3]; cx q[2], q[3]; rz(0) q[5]; rz(0) q[4]; rz(0) q[6]; rz(0) q[1]; rz(0) q[2]; rz(0) q[0]; rz(0) q[3]; h q[0]; rz(-0.1678) q[0]; h q[0]; h q[1]; rz(-0.1678) q[1]; h q[1]; h q[2]; rz(-0.1678) q[2]; h q[2]; h q[3]; rz(-0.1678) q[3]; h q[3]; h q[4]; rz(-0.1678) q[4]; h q[4]; h q[5]; rz(-0.1678) q[5]; h q[5]; h q[6]; rz(-0.1678) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[6], q[1]; rz(x0) q[1]; cx q[6], q[1]; cx q[5], q[2]; rz(x0) q[2]; cx q[5], q[2]; cx q[6], q[2]; rz(x0) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[5], q[0]; rz(x0) q[0]; cx q[5], q[0]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[6], q[3]; rz(x0) q[3]; cx q[6], q[3]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; rz(x1) q[5]; rz(x1) q[4]; rz(x1) q[6]; rz(x1) q[1]; rz(x1) q[2]; rz(x1) q[0]; rz(x1) q[3]; h q[0]; rz(x2) q[0]; h q[0]; h q[1]; rz(x2) q[1]; h q[1]; h q[2]; rz(x2) q[2]; h q[2]; h q[3]; rz(x2) q[3]; h q[3]; h q[4]; rz(x2) q[4]; h q[4]; h q[5]; rz(x2) q[5]; h q[5]; h q[6]; rz(x2) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
a884f7f979bc9550bc1068bc7a23bbd8
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 6, "target": 7}]}
{"states": [248, 249], "expectation_value": -3.47047540589056, "params": [0.8014, 0.0035, 0.8028000000000001, 0.0026000000000000003, 0.8046000000000001, 0.001, 0.8096, -0.0082, 0.8074, -0.0206, 0.3623, -0.2442, 0.04, 0.4132, 0.8009000000000001, -0.0017000000000000001, 0.8073, 0.0041, 0.7987000000000001, -0.0011, 0.7994, -0.0022, 0.8029000000000001, 0.0148, 0.8048000000000001, -0.0358, 0.3433, 0.0375, 0.06720000000000001, -0.23020000000000002, 0.808, 0.0006000000000000001, 0.4294, 0.6477, 0.624, 0.6472, -0.7894, 0.7619, -0.028, 0.7896000000000001, 0.7952, 0.7914, 0.792, -0.7853, 0.5647, -0.1499], "bitstrings": ["00000111", "00000110"], "total_optimization_steps": 80, "probabilities": [0.16044190766881386, 0.17341814630385619], "optimization_time": 21.321868419647217}
0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(7)
4
8
2
{"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(0.8014) q[0]; rz(0.0035) q[0]; rx(0.8028) q[1]; rz(0.0026) q[1]; rx(0.8046) q[2]; rz(0.001) q[2]; rx(0.8096) q[3]; rz(-0.0082) q[3]; rx(0.8074) q[4]; rz(-0.0206) q[4]; rx(0.3623) q[5]; rz(-0.2442) q[5]; rx(0.04) q[6]; rz(0.4132) q[6]; rx(0.8009) q[7]; rz(-0.0017) q[7]; crx(-0.028) q[7], q[6]; crx(0.7619) q[6], q[5]; crx(-0.7894) q[5], q[4]; crx(0.6472) q[4], q[3]; crx(0.624) q[3], q[2]; crx(0.6477) q[2], q[1]; crx(0.4294) q[1], q[0]; rx(0.8073) q[0]; rz(0.0041) q[0]; rx(0.7987) q[1]; rz(-0.0011) q[1]; rx(0.7994) q[2]; rz(-0.0022) q[2]; rx(0.8029) q[3]; rz(0.0148) q[3]; rx(0.8048) q[4]; rz(-0.0358) q[4]; rx(0.3433) q[5]; rz(0.0375) q[5]; rx(0.0672) q[6]; rz(-0.2302) q[6]; rx(0.808) q[7]; rz(0.0006) q[7]; crx(-0.1499) q[7], q[6]; crx(0.5647) q[6], q[5]; crx(-0.7853) q[5], q[4]; crx(0.792) q[4], q[3]; crx(0.7914) q[3], q[2]; crx(0.7952) q[2], q[1]; crx(0.7896) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crx(x16) q[7], q[6]; crx(x17) q[6], q[5]; crx(x18) q[5], q[4]; crx(x19) q[4], q[3]; crx(x20) q[3], q[2]; crx(x21) q[2], q[1]; crx(x22) q[1], q[0]; rx(x23) q[0]; rz(x24) q[0]; rx(x25) q[1]; rz(x26) q[1]; rx(x27) q[2]; rz(x28) q[2]; rx(x29) q[3]; rz(x30) q[3]; rx(x31) q[4]; rz(x32) q[4]; rx(x33) q[5]; rz(x34) q[5]; rx(x35) q[6]; rz(x36) q[6]; rx(x37) q[7]; rz(x38) q[7]; crx(x39) q[7], q[6]; crx(x40) q[6], q[5]; crx(x41) q[5], q[4]; crx(x42) q[4], q[3]; crx(x43) q[3], q[2]; crx(x44) q[2], q[1]; crx(x45) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
0ae9b6f2b61290137ab22e2dafb0c164
hamiltonian_path
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": 2, "target": 3}, {"weight": 29, "source": 2, "target": 4}, {"weight": 5, "source": 3, "target": 4}]}
{"states": [238, 350], "expectation_value": -2.1510214311991946, "params": [[-0.06330000000000001, -0.0551, -0.0485, -0.0644], [0.0776, 0.0723, 0.0649, 0.07100000000000001]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.006324183771484596, 0.006324183771484597], "optimization_time": 12.842346668243408}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)
1
9
4
{"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(-0.0633) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.0633) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0633) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(-0.0633) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(-0.0633) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(-0.0633) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.0633) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.0633) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.0633) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(-0.0633) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(-0.0633) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(-0.0633) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(-0.0633) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(-0.0633) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(-0.0633) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(-0.0633) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(-0.0633) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(-0.0633) q[8]; cx q[7], q[8]; rz(-0.1266) q[1]; rz(-0.1266) q[0]; rz(-0.1266) q[2]; rz(-0.1266) q[3]; rz(-0.1266) q[4]; rz(-0.1266) q[5]; rz(-0.1266) q[6]; rz(-0.1266) q[7]; rz(-0.1266) q[8]; h q[0]; rz(0.1552) q[0]; h q[0]; h q[1]; rz(0.1552) q[1]; h q[1]; h q[2]; rz(0.1552) q[2]; h q[2]; h q[3]; rz(0.1552) q[3]; h q[3]; h q[4]; rz(0.1552) q[4]; h q[4]; h q[5]; rz(0.1552) q[5]; h q[5]; h q[6]; rz(0.1552) q[6]; h q[6]; h q[7]; rz(0.1552) q[7]; h q[7]; h q[8]; rz(0.1552) q[8]; h q[8]; cx q[1], q[0]; rz(-0.0551) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.0551) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0551) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(-0.0551) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(-0.0551) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(-0.0551) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.0551) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.0551) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.0551) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(-0.0551) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(-0.0551) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(-0.0551) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(-0.0551) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(-0.0551) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(-0.0551) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(-0.0551) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(-0.0551) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(-0.0551) q[8]; cx q[7], q[8]; rz(-0.1102) q[1]; rz(-0.1102) q[0]; rz(-0.1102) q[2]; rz(-0.1102) q[3]; rz(-0.1102) q[4]; rz(-0.1102) q[5]; rz(-0.1102) q[6]; rz(-0.1102) q[7]; rz(-0.1102) q[8]; h q[0]; rz(0.1446) q[0]; h q[0]; h q[1]; rz(0.1446) q[1]; h q[1]; h q[2]; rz(0.1446) q[2]; h q[2]; h q[3]; rz(0.1446) q[3]; h q[3]; h q[4]; rz(0.1446) q[4]; h q[4]; h q[5]; rz(0.1446) q[5]; h q[5]; h q[6]; rz(0.1446) q[6]; h q[6]; h q[7]; rz(0.1446) q[7]; h q[7]; h q[8]; rz(0.1446) q[8]; h q[8]; cx q[1], q[0]; rz(-0.0485) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.0485) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0485) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(-0.0485) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(-0.0485) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(-0.0485) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.0485) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.0485) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.0485) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(-0.0485) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(-0.0485) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(-0.0485) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(-0.0485) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(-0.0485) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(-0.0485) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(-0.0485) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(-0.0485) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(-0.0485) q[8]; cx q[7], q[8]; rz(-0.097) q[1]; rz(-0.097) q[0]; rz(-0.097) q[2]; rz(-0.097) q[3]; rz(-0.097) q[4]; rz(-0.097) q[5]; rz(-0.097) q[6]; rz(-0.097) q[7]; rz(-0.097) q[8]; h q[0]; rz(0.1298) q[0]; h q[0]; h q[1]; rz(0.1298) q[1]; h q[1]; h q[2]; rz(0.1298) q[2]; h q[2]; h q[3]; rz(0.1298) q[3]; h q[3]; h q[4]; rz(0.1298) q[4]; h q[4]; h q[5]; rz(0.1298) q[5]; h q[5]; h q[6]; rz(0.1298) q[6]; h q[6]; h q[7]; rz(0.1298) q[7]; h q[7]; h q[8]; rz(0.1298) q[8]; h q[8]; cx q[1], q[0]; rz(-0.0644) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.0644) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0644) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(-0.0644) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(-0.0644) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(-0.0644) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(-0.0644) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.0644) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.0644) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(-0.0644) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(-0.0644) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(-0.0644) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(-0.0644) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(-0.0644) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(-0.0644) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(-0.0644) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(-0.0644) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(-0.0644) q[8]; cx q[7], q[8]; rz(-0.1288) q[1]; rz(-0.1288) q[0]; rz(-0.1288) q[2]; rz(-0.1288) q[3]; rz(-0.1288) q[4]; rz(-0.1288) q[5]; rz(-0.1288) q[6]; rz(-0.1288) q[7]; rz(-0.1288) q[8]; h q[0]; rz(0.142) q[0]; h q[0]; h q[1]; rz(0.142) q[1]; h q[1]; h q[2]; rz(0.142) q[2]; h q[2]; h q[3]; rz(0.142) q[3]; h q[3]; h q[4]; rz(0.142) q[4]; h q[4]; h q[5]; rz(0.142) q[5]; h q[5]; h q[6]; rz(0.142) q[6]; h q[6]; h q[7]; rz(0.142) q[7]; h q[7]; h q[8]; rz(0.142) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x0) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x0) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x0) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x0) q[8]; cx q[7], q[8]; rz(x1) q[1]; rz(x1) q[0]; rz(x1) q[2]; rz(x1) q[3]; rz(x1) q[4]; rz(x1) q[5]; rz(x1) q[6]; rz(x1) q[7]; rz(x1) q[8]; h q[0]; rz(x2) q[0]; h q[0]; h q[1]; rz(x2) q[1]; h q[1]; h q[2]; rz(x2) q[2]; h q[2]; h q[3]; rz(x2) q[3]; h q[3]; h q[4]; rz(x2) q[4]; h q[4]; h q[5]; rz(x2) q[5]; h q[5]; h q[6]; rz(x2) q[6]; h q[6]; h q[7]; rz(x2) q[7]; h q[7]; h q[8]; rz(x2) q[8]; h q[8]; cx q[1], q[0]; rz(x3) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x3) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x3) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x3) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x3) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x3) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x3) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x3) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x3) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x3) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x3) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x3) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x3) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x3) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x3) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x3) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x3) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x3) q[8]; cx q[7], q[8]; rz(x4) q[1]; rz(x4) q[0]; rz(x4) q[2]; rz(x4) q[3]; rz(x4) q[4]; rz(x4) q[5]; rz(x4) q[6]; rz(x4) q[7]; rz(x4) q[8]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; h q[7]; rz(x5) q[7]; h q[7]; h q[8]; rz(x5) q[8]; h q[8]; cx q[1], q[0]; rz(x6) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x6) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x6) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x6) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x6) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x6) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x6) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x6) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x6) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x6) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x6) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x6) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x6) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x6) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x6) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x6) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x6) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x6) q[8]; cx q[7], q[8]; rz(x7) q[1]; rz(x7) q[0]; rz(x7) q[2]; rz(x7) q[3]; rz(x7) q[4]; rz(x7) q[5]; rz(x7) q[6]; rz(x7) q[7]; rz(x7) q[8]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; h q[7]; rz(x8) q[7]; h q[7]; h q[8]; rz(x8) q[8]; h q[8]; cx q[1], q[0]; rz(x9) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x9) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x9) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x9) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x9) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x9) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x9) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x9) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x9) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x9) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x9) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x9) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x9) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x9) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x9) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x9) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x9) q[8]; cx q[7], q[8]; rz(x10) q[1]; rz(x10) q[0]; rz(x10) q[2]; rz(x10) q[3]; rz(x10) q[4]; rz(x10) q[5]; rz(x10) q[6]; rz(x10) q[7]; rz(x10) q[8]; h q[0]; rz(x11) q[0]; h q[0]; h q[1]; rz(x11) q[1]; h q[1]; h q[2]; rz(x11) q[2]; h q[2]; h q[3]; rz(x11) q[3]; h q[3]; h q[4]; rz(x11) q[4]; h q[4]; h q[5]; rz(x11) q[5]; h q[5]; h q[6]; rz(x11) q[6]; h q[6]; h q[7]; rz(x11) q[7]; h q[7]; h q[8]; rz(x11) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"start_node": 0, "end_node": 4}
{"circuits": [], "gradients": []}
ed46de376d1660326c9e503ea9950a07
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "target": 4}]}
{"states": [5, 3], "expectation_value": -6.322616460637875, "params": [[0.057], [-0.0594]], "bitstrings": ["1111010", "1111100"], "total_optimization_steps": 10, "probabilities": [0.011044401979064408, 0.011563339122030867], "optimization_time": 2.3300156593322754}
2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.0 * Z(0) + -10.5 * Z(2) + -10.0 * Z(3) + -10.0 * Z(4) + -9.25 * Z(5) + -9.25 * Z(6)
18
7
1
{"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(0.3135) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.3135) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.3135) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.3135) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.3135) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.3135) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.3135) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.3135) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.3135) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.3135) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.342) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.342) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.3135) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.342) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.342) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(0.342) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.342) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.3135) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.342) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.342) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.342) q[6]; cx q[5], q[6]; rz(-1.14) q[1]; rz(-1.14) q[0]; rz(-1.197) q[2]; rz(-1.14) q[3]; rz(-1.14) q[4]; rz(-1.0545) q[5]; rz(-1.0545) q[6]; h q[0]; rz(-0.1188) q[0]; h q[0]; h q[1]; rz(-0.1188) q[1]; h q[1]; h q[2]; rz(-0.1188) q[2]; h q[2]; h q[3]; rz(-0.1188) q[3]; h q[3]; h q[4]; rz(-0.1188) q[4]; h q[4]; h q[5]; rz(-0.1188) q[5]; h q[5]; h q[6]; rz(-0.1188) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x1) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x1) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x1) q[6]; cx q[5], q[6]; rz(x2) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x2) q[3]; rz(x2) q[4]; rz(x4) q[5]; rz(x4) q[6]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"k": 5}
{"circuits": [], "gradients": []}
-7024107008918819001
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5], [8, 1, 3, 0], [11, 4, 5], [8, 3, 4, 7], [0, 2, 3, 5], [8, 3, 6, 7], [8, 9], [0, 1, 5, 7], [2, 4, 6], [9, 3, 6], [2, 10], [9, 11, 4], [9, 10, 3], [8, 1, 4], [11, 3], [2, 11], [10, 11, 4, 6], [1, 5, 6, 9], [0, 10, 7], [1, 2, 9], [1, 11, 9], [0, 11], [0, 10, 5, 6], [1, 2, 5, 7], [0, 9, 2, 3], [0, 8, 3, 7], [1, 2, 3, 7], [8, 4, 5], [8, 2], [5, 6, 7], [9, 4, 5]]}
{"states": [3309, 3317], "expectation_value": -7.7122972157674905, "params": [1.5767, 1.57, 1.5866, 1.5497, -0.0024000000000000002, -0.0024000000000000002, -0.0025, -0.0025, 1.5653000000000001, 1.5716, 1.5617, 1.5756000000000001, 1.5702, 1.5765, 1.6687, 0.005, 1.5682, 1.5682, 1.6385, 1.5083, -0.0025, -0.0025, 1.853, 1.2937, -0.0029000000000000002, 0.0036000000000000003, 0.0028, 0.0098, -0.003, 0.006500000000000001, 3.1805000000000003, 0.0055000000000000005, 3.1178000000000003, 0.006500000000000001, -0.0022, 0.004, -0.0023, 0.0027, 0.0025, 0.009300000000000001, -3.1382000000000003, 0.0005, -0.0027, 0.0095, 0.0028, 0.0061, -3.0762, 0.003], "bitstrings": ["001100010010", "001100001010"], "total_optimization_steps": 490, "probabilities": [0.4510892261700858, 0.5488353036650275], "optimization_time": 35.536415100097656}
0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.25 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(10)) + 0.25 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.41666666666666663 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(10)) + 0.3333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(10)) + 0.25 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(10)) + 0.25 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(11) @ Z(2)) + 0.41666666666666663 * (Z(11) @ Z(1)) + 0.25 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(10)) + 0.41666666666666663 * (Z(11) @ Z(5)) + 0.08333333333333333 * (Z(11) @ Z(0)) + 0.3333333333333333 * (Z(11) @ Z(3)) + 0.3333333333333333 * (Z(11) @ Z(6)) + 0.25 * (Z(11) @ Z(4)) + 0.25 * (Z(11) @ Z(8)) + 0.75 * Z(2) + 1.291666666666667 * Z(1) + 1.458333333333333 * Z(7) + 0.833333333333333 * Z(10) + 1.2083333333333333 * Z(5) + 0.916666666666667 * Z(0) + 0.625 * Z(3) + 1.25 * Z(6) + 1.0833333333333333 * Z(9) + 0.8333333333333335 * Z(4) + 1.0 * Z(8) + 1.2499999999999998 * Z(11)
13
12
1
{"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.666666666666666, "smallest_bitstrings": ["001100001010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; ry(1.5767) q[0]; ry(1.5866) q[1]; ry(-0.0024) q[2]; ry(-0.0025) q[3]; ry(1.5653) q[4]; ry(1.5617) q[5]; ry(1.5702) q[6]; ry(1.6687) q[7]; ry(1.5682) q[8]; ry(1.6385) q[9]; ry(-0.0025) q[10]; ry(1.853) q[11]; crz(-0.0029) q[11], q[0]; crz(-3.0762) q[10], q[11]; crz(0.0028) q[9], q[10]; crz(-0.0027) q[8], q[9]; crz(-3.1382) q[7], q[8]; crz(0.0025) q[6], q[7]; crz(-0.0023) q[5], q[6]; crz(-0.0022) q[4], q[5]; crz(3.1178) q[3], q[4]; crz(3.1805) q[2], q[3]; crz(-0.003) q[1], q[2]; crz(0.0028) q[0], q[1]; ry(1.57) q[0]; ry(1.5497) q[1]; ry(-0.0024) q[2]; ry(-0.0025) q[3]; ry(1.5716) q[4]; ry(1.5756) q[5]; ry(1.5765) q[6]; ry(0.005) q[7]; ry(1.5682) q[8]; ry(1.5083) q[9]; ry(-0.0025) q[10]; ry(1.2937) q[11]; crz(0.0036) q[11], q[10]; crz(0.0098) q[0], q[11]; crz(0.0065) q[0], q[1]; crz(0.0055) q[1], q[2]; crz(0.0065) q[2], q[3]; crz(0.004) q[3], q[4]; crz(0.0027) q[4], q[5]; crz(0.0093) q[5], q[6]; crz(0.0005) q[6], q[7]; crz(0.0095) q[7], q[8]; crz(0.0061) q[8], q[9]; crz(0.003) q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x3) q[10]; ry(x10) q[11]; crz(x11) q[11], q[0]; crz(x12) q[10], q[11]; crz(x13) q[9], q[10]; crz(x14) q[8], q[9]; crz(x15) q[7], q[8]; crz(x16) q[6], q[7]; crz(x17) q[5], q[6]; crz(x18) q[4], q[5]; crz(x19) q[3], q[4]; crz(x20) q[2], q[3]; crz(x21) q[1], q[2]; crz(x13) q[0], q[1]; ry(x22) q[0]; ry(x23) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x24) q[4]; ry(x25) q[5]; ry(x26) q[6]; ry(x27) q[7]; ry(x8) q[8]; ry(x28) q[9]; ry(x3) q[10]; ry(x29) q[11]; crz(x30) q[11], q[10]; crz(x31) q[0], q[11]; crz(x32) q[0], q[1]; crz(x33) q[1], q[2]; crz(x32) q[2], q[3]; crz(x34) q[3], q[4]; crz(x35) q[4], q[5]; crz(x36) q[5], q[6]; crz(x37) q[6], q[7]; crz(x38) q[7], q[8]; crz(x39) q[8], q[9]; crz(x40) q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
null
{"circuits": [], "gradients": []}
a580428593ca2a54e0f078f27f8703fa
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 7}, {"capacity": 4, "source": 3, "target": 4}, {"capacity": 5, "source": 3, "target": 6}, {"capacity": 5, "source": 4, "target": 6}, {"capacity": 5, "source": 5, "target": 3}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 1, "source": 5, "target": 7}]}
{"states": [254, 127], "expectation_value": -2.393754990999338, "params": [[-0.046900000000000004, -0.0472, -0.052700000000000004, -0.0334], [0.06760000000000001, 0.0574, 0.059000000000000004, 0.0526]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010384827135747645, 0.011515988382045176], "optimization_time": 5.94725227355957}
-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 1.25 * Z(1) + 0.0 * Z(3) + 1.5 * Z(5) + 0.25 * Z(4) + -3.0 * Z(6)
1
8
4
{"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10001010", "10000010", "10011010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(0.0235) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(0.0235) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(-0.0469) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(0.0235) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(0.0938) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(0.0235) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(0.0469) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.1173) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(0.0938) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(0.1173) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.0469) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(0.1173) q[6]; cx q[4], q[6]; rz(-0.0235) q[2]; rz(0.0235) q[0]; rz(0) q[7]; rz(-0.1173) q[1]; rz(0) q[3]; rz(-0.1407) q[5]; rz(-0.0235) q[4]; rz(0.2814) q[6]; h q[0]; rz(0.1352) q[0]; h q[0]; h q[1]; rz(0.1352) q[1]; h q[1]; h q[2]; rz(0.1352) q[2]; h q[2]; h q[3]; rz(0.1352) q[3]; h q[3]; h q[4]; rz(0.1352) q[4]; h q[4]; h q[5]; rz(0.1352) q[5]; h q[5]; h q[6]; rz(0.1352) q[6]; h q[6]; h q[7]; rz(0.1352) q[7]; h q[7]; cx q[2], q[0]; rz(0.0236) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(0.0236) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(-0.0472) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(0.0236) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(0.0944) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(0.0236) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(0.0472) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.118) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(0.0944) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(0.118) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.0472) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(0.118) q[6]; cx q[4], q[6]; rz(-0.0236) q[2]; rz(0.0236) q[0]; rz(0) q[7]; rz(-0.118) q[1]; rz(0) q[3]; rz(-0.1416) q[5]; rz(-0.0236) q[4]; rz(0.2832) q[6]; h q[0]; rz(0.1148) q[0]; h q[0]; h q[1]; rz(0.1148) q[1]; h q[1]; h q[2]; rz(0.1148) q[2]; h q[2]; h q[3]; rz(0.1148) q[3]; h q[3]; h q[4]; rz(0.1148) q[4]; h q[4]; h q[5]; rz(0.1148) q[5]; h q[5]; h q[6]; rz(0.1148) q[6]; h q[6]; h q[7]; rz(0.1148) q[7]; h q[7]; cx q[2], q[0]; rz(0.0264) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(0.0264) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(-0.0527) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(0.0264) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(0.1054) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(0.0264) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(0.0527) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.1318) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(0.1054) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(0.1318) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.0527) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(0.1318) q[6]; cx q[4], q[6]; rz(-0.0264) q[2]; rz(0.0264) q[0]; rz(0) q[7]; rz(-0.1318) q[1]; rz(0) q[3]; rz(-0.1581) q[5]; rz(-0.0264) q[4]; rz(0.3162) q[6]; h q[0]; rz(0.118) q[0]; h q[0]; h q[1]; rz(0.118) q[1]; h q[1]; h q[2]; rz(0.118) q[2]; h q[2]; h q[3]; rz(0.118) q[3]; h q[3]; h q[4]; rz(0.118) q[4]; h q[4]; h q[5]; rz(0.118) q[5]; h q[5]; h q[6]; rz(0.118) q[6]; h q[6]; h q[7]; rz(0.118) q[7]; h q[7]; cx q[2], q[0]; rz(0.0167) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(0.0167) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(-0.0334) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(0.0167) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(0.0668) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(0.0167) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(0.0334) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.0835) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(0.0668) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(0.0835) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.0334) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(0.0835) q[6]; cx q[4], q[6]; rz(-0.0167) q[2]; rz(0.0167) q[0]; rz(0) q[7]; rz(-0.0835) q[1]; rz(0) q[3]; rz(-0.1002) q[5]; rz(-0.0167) q[4]; rz(0.2004) q[6]; h q[0]; rz(0.1052) q[0]; h q[0]; h q[1]; rz(0.1052) q[1]; h q[1]; h q[2]; rz(0.1052) q[2]; h q[2]; h q[3]; rz(0.1052) q[3]; h q[3]; h q[4]; rz(0.1052) q[4]; h q[4]; h q[5]; rz(0.1052) q[5]; h q[5]; h q[6]; rz(0.1052) q[6]; h q[6]; h q[7]; rz(0.1052) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x1) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x2) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x0) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x3) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x4) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x2) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x4) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x3) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x4) q[6]; cx q[4], q[6]; rz(x5) q[2]; rz(x0) q[0]; rz(x6) q[7]; rz(x7) q[1]; rz(x6) q[3]; rz(x8) q[5]; rz(x5) q[4]; rz(x9) q[6]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; h q[7]; rz(x10) q[7]; h q[7]; cx q[2], q[0]; rz(x11) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x11) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x12) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x11) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x13) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x11) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x14) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x15) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x13) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x15) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x14) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x15) q[6]; cx q[4], q[6]; rz(x16) q[2]; rz(x11) q[0]; rz(x6) q[7]; rz(x17) q[1]; rz(x6) q[3]; rz(x18) q[5]; rz(x16) q[4]; rz(x19) q[6]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; cx q[2], q[0]; rz(x21) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x21) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x22) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x21) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x23) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x21) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x24) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x25) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x23) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x25) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x24) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x25) q[6]; cx q[4], q[6]; rz(x26) q[2]; rz(x21) q[0]; rz(x6) q[7]; rz(x27) q[1]; rz(x6) q[3]; rz(x28) q[5]; rz(x26) q[4]; rz(x29) q[6]; h q[0]; rz(x15) q[0]; h q[0]; h q[1]; rz(x15) q[1]; h q[1]; h q[2]; rz(x15) q[2]; h q[2]; h q[3]; rz(x15) q[3]; h q[3]; h q[4]; rz(x15) q[4]; h q[4]; h q[5]; rz(x15) q[5]; h q[5]; h q[6]; rz(x15) q[6]; h q[6]; h q[7]; rz(x15) q[7]; h q[7]; cx q[2], q[0]; rz(x30) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x30) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x31) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x30) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x32) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x30) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x33) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x34) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x32) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x34) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x33) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x34) q[6]; cx q[4], q[6]; rz(x35) q[2]; rz(x30) q[0]; rz(x6) q[7]; rz(x36) q[1]; rz(x6) q[3]; rz(x37) q[5]; rz(x35) q[4]; rz(x38) q[6]; h q[0]; rz(x39) q[0]; h q[0]; h q[1]; rz(x39) q[1]; h q[1]; h q[2]; rz(x39) q[2]; h q[2]; h q[3]; rz(x39) q[3]; h q[3]; h q[4]; rz(x39) q[4]; h q[4]; h q[5]; rz(x39) q[5]; h q[5]; h q[6]; rz(x39) q[6]; h q[6]; h q[7]; rz(x39) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
504aff5065c6904e02914f6b44da8a9c
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 4, "source": 3, "target": 2}, {"capacity": 2, "source": 4, "target": 2}, {"capacity": 3, "source": 4, "target": 3}, {"capacity": 3, "source": 4, "target": 5}]}
{"states": [1, 3], "expectation_value": -7.549008648028158, "params": [[[-0.0029000000000000002, 1.1942000000000002], [0.0026000000000000003, 1.1607], [0.0027, 1.3062], [0.0026000000000000003, 1.3317], [-0.8348, -0.0012000000000000001], [1.5665, -0.0033]], [[-0.0029000000000000002, 0.0043], [0.0026000000000000003, 0.003], [0.0027, 0.0059], [0.0026000000000000003, 0.006500000000000001], [-0.8345, 0.0043], [1.5689000000000002, 0.0037]]], "bitstrings": ["111110", "111100"], "total_optimization_steps": 180, "probabilities": [0.4508310161065529, 0.5491371402362479], "optimization_time": 3.913572311401367}
-1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3)
1
6
2
{"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; rx(-0.0029) q[0]; rz(1.1942) q[0]; rx(0.0026) q[1]; rz(1.1607) q[1]; rx(0.0027) q[2]; rz(1.3062) q[2]; rx(0.0026) q[3]; rz(1.3317) q[3]; rx(-0.8348) q[4]; rz(-0.0012) q[4]; rx(1.5665) q[5]; rz(-0.0033) q[5]; rx(-0.0029) q[0]; rz(0.0043) q[0]; rx(0.0026) q[1]; rz(0.003) q[1]; rx(0.0027) q[2]; rz(0.0059) q[2]; rx(0.0026) q[3]; rz(0.0065) q[3]; rx(-0.8345) q[4]; rz(0.0043) q[4]; rx(1.5689) q[5]; rz(0.0037) q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x2) q[3]; rz(x6) q[3]; rx(x7) q[4]; rz(x8) q[4]; rx(x9) q[5]; rz(x10) q[5]; rx(x0) q[0]; rz(x11) q[0]; rx(x2) q[1]; rz(x12) q[1]; rx(x4) q[2]; rz(x13) q[2]; rx(x2) q[3]; rz(x14) q[3]; rx(x15) q[4]; rz(x11) q[4]; rx(x16) q[5]; rz(x17) q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
{"source": 0, "sink": 5}
{"circuits": [], "gradients": []}
a12167d92b99eced507bf6abc58f9b3b
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]}
{"states": [5806, 5870], "expectation_value": -2.778409795494225, "params": [[[1.0027000000000001, -0.0017000000000000001, 0.0039000000000000003, 0.0054], [0.0013000000000000002, -0.32020000000000004, 0.0019, 0.005200000000000001], [0.8803000000000001, -0.0037, 0.0014, -0.001], [0.6106, -0.2437, -0.0727, 0.0029000000000000002], [0.0494, -0.0497, 0.0017000000000000001, -0.0409], [0.7963, -0.0178, 0.8001, 0.01], [-0.3115, 0.0013000000000000002, 0.0034000000000000002, 0.0006000000000000001], [0.5857, -0.0017000000000000001, 0.8666, 0.0], [0.0623, -0.028300000000000002, 0.006900000000000001, -0.026500000000000003], [0.9197000000000001, -0.0092, 0.913, 0.0038], [0.6183000000000001, -0.0041, 0.0016, -0.0132], [0.67, -0.1307, -0.1291, 0.0095], [0.3669, 0.1933, 0.0077, 0.0066]], [[1.0017, -0.0016, 0.0045000000000000005, 0.0028], [0.0017000000000000001, -0.0114, -0.0021000000000000003, 0.0043], [0.5825, -0.0023, 0.0022, -0.0086], [-0.07400000000000001, 0.3603, 0.8449000000000001, 0.009300000000000001], [-0.10450000000000001, 0.006200000000000001, 0.0045000000000000005, 0.0086], [0.36560000000000004, 0.0565, 0.1115, 0.0048000000000000004], [0.5554, 0.0012000000000000001, 0.0013000000000000002, 0.0007], [0.8633000000000001, -0.0175, 0.0074, 0.0039000000000000003], [0.249, 0.11410000000000001, 0.0005, 0.1095], [0.48310000000000003, 0.0103, -0.165, 0.0033], [-0.40640000000000004, 0.0083, 0.0025, -0.0012000000000000001], [-0.015600000000000001, 0.1701, 0.8914000000000001, 0.0036000000000000003], [0.3396, -0.056100000000000004, 0.0035, 0.001]], [[1.0034, 0.0014, 0.0048000000000000004, 0.0048000000000000004], [0.0017000000000000001, -0.18760000000000002, -0.0013000000000000002, 0.00030000000000000003], [0.9953000000000001, 0.001, 0.0048000000000000004, 0.0017000000000000001], [0.8225, -0.2646, -0.1202, 0.0029000000000000002], [0.5831000000000001, 0.008400000000000001, 0.0059, 0.005200000000000001], [0.0325, -0.06570000000000001, 0.1077, 0.0], [1.0041, 0.0076, 0.0021000000000000003, 0.0046], [-0.1032, 0.0339, 0.0429, 0.009300000000000001], [0.6735, 0.0001, 0.0063, 0.0023], [0.317, 0.0274, -0.0137, 0.0045000000000000005], [0.9984000000000001, 0.009300000000000001, 0.0024000000000000002, 0.0078000000000000005], [0.748, -0.1942, -0.012, 0.0054], [0.3416, 0.0043, 0.0044, 0.0013000000000000002]]], "bitstrings": ["0100101010001", "0100100010001"], "total_optimization_steps": 100, "probabilities": [0.16037887120404762, 0.2426474715060878], "optimization_time": 30.507065296173096}
0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(7) @ Z(4) @ Z(5)) + -0.125 * (Z(7) @ Z(4) @ Z(6)) + -0.125 * (Z(7) @ Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(4) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(4) @ Z(9)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(0) @ Z(10)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(5) @ Z(10)) + 0.125 * (Z(8) @ Z(10)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(10)) + -0.125 * (Z(8) @ Z(0) @ Z(10)) + -0.125 * (Z(8) @ Z(5) @ Z(10)) + 0.125 * (Z(8) @ Z(0) @ Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(1)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(9) @ Z(2)) + 0.0625 * (Z(10) @ Z(2)) + 0.0625 * (Z(12) @ Z(2)) + 0.0625 * (Z(9) @ Z(6)) + 0.0625 * (Z(10) @ Z(6)) + 0.0625 * (Z(12) @ Z(6)) + 0.0625 * (Z(9) @ Z(10)) + 0.0625 * (Z(9) @ Z(12)) + 0.0625 * (Z(12) @ Z(10)) + -0.0625 * (Z(9) @ Z(2) @ Z(6)) + -0.0625 * (Z(2) @ Z(10) @ Z(6)) + -0.0625 * (Z(12) @ Z(2) @ Z(6)) + -0.0625 * (Z(9) @ Z(10) @ Z(2)) + -0.0625 * (Z(9) @ Z(12) @ Z(2)) + -0.0625 * (Z(12) @ Z(10) @ Z(2)) + -0.0625 * (Z(9) @ Z(10) @ Z(6)) + -0.0625 * (Z(9) @ Z(12) @ Z(6)) + -0.0625 * (Z(12) @ Z(10) @ Z(6)) + -0.0625 * (Z(9) @ Z(12) @ Z(10)) + 0.0625 * (Z(9) @ Z(2) @ Z(10) @ Z(6)) + 0.0625 * (Z(9) @ Z(12) @ Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(12) @ Z(10) @ Z(6)) + 0.0625 * (Z(9) @ Z(12) @ Z(10) @ Z(2)) + 0.0625 * (Z(9) @ Z(12) @ Z(10) @ Z(6)) + -0.0625 * (Z(6) @ Z(12) @ Z(2) @ Z(9) @ Z(10)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(12) @ Z(3)) + 0.125 * (Z(7) @ Z(11)) + 0.125 * (Z(7) @ Z(12)) + 0.125 * (Z(11) @ Z(12)) + -0.125 * (Z(7) @ Z(11) @ Z(3)) + -0.125 * (Z(7) @ Z(12) @ Z(3)) + -0.125 * (Z(11) @ Z(12) @ Z(3)) + -0.125 * (Z(7) @ Z(11) @ Z(12)) + 0.125 * (Z(7) @ Z(11) @ Z(12) @ Z(3)) + 0.25 * Z(0) + -0.125 * Z(1) + 0.3125 * Z(2) + 0.25 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + 0.3125 * Z(6) + 0.25 * Z(7) + 0.125 * Z(8) + 0.1875 * Z(9) + 0.3125 * Z(10) + -0.125 * Z(11) + 0.3125 * Z(12)
12
13
3
{"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 41, "first_excited_energy": -2.8125, "smallest_bitstrings": ["0001001010010", "1100100000001", "1100000101000", "1010100000010", "1000101000010", "1000100001010", "1000100000110", "1000100000011", "1000010001010", "1000000101010", "1000001010010", "1000001001010", "0110000110000", "0101100000100", "0101010001000", "0101001010000", "0100110000001", "0100100100100", "0100100010001", "0100100000110", "0100100000101", "0100010101000", "0100010010001", "0100010001010", "0100010001001", "0100001110000", "0100000110100", "0100000110001", "0100000101100", "0100001010010", "0100001010001", "0100000111000", "0001010001010", "0010110000010", "0010100010010", "0010100000110", "0010010010010", "0010010001010", "0010001010010", "0010000110010", "0001100000110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[13] c; qubit[13] q; ry(1.0027) q[0]; rz(-0.0017) q[0]; ry(0.0013) q[1]; rz(-0.3202) q[1]; ry(0.8803) q[2]; rz(-0.0037) q[2]; ry(0.6106) q[3]; rz(-0.2437) q[3]; ry(0.0494) q[4]; rz(-0.0497) q[4]; ry(0.7963) q[5]; rz(-0.0178) q[5]; ry(-0.3115) q[6]; rz(0.0013) q[6]; ry(0.5857) q[7]; rz(-0.0017) q[7]; ry(0.0623) q[8]; rz(-0.0283) q[8]; ry(0.9197) q[9]; rz(-0.0092) q[9]; ry(0.6183) q[10]; rz(-0.0041) q[10]; ry(0.67) q[11]; rz(-0.1307) q[11]; ry(0.3669) q[12]; rz(0.1933) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(0.0019) q[1]; ry(0.0019) q[1]; rz(-0.001) q[2]; rz(-0.001) q[2]; cz q[2], q[1]; ry(-0.0727) q[3]; ry(-0.0727) q[3]; rz(-0.0409) q[4]; rz(-0.0409) q[4]; cz q[4], q[3]; ry(0.8001) q[5]; ry(0.8001) q[5]; rz(0.0006) q[6]; rz(0.0006) q[6]; cz q[6], q[5]; ry(0.8666) q[7]; ry(0.8666) q[7]; rz(-0.0265) q[8]; rz(-0.0265) q[8]; cz q[8], q[7]; ry(0.913) q[9]; ry(0.913) q[9]; rz(-0.0132) q[10]; rz(-0.0132) q[10]; cz q[10], q[9]; ry(-0.1291) q[11]; ry(-0.1291) q[11]; cz q[12], q[11]; ry(1.0017) q[0]; rz(-0.0016) q[0]; ry(0.0017) q[1]; rz(-0.0114) q[1]; ry(0.5825) q[2]; rz(-0.0023) q[2]; ry(-0.074) q[3]; rz(0.3603) q[3]; ry(-0.1045) q[4]; rz(0.0062) q[4]; ry(0.3656) q[5]; rz(0.0565) q[5]; ry(0.5554) q[6]; rz(0.0012) q[6]; ry(0.8633) q[7]; rz(-0.0175) q[7]; ry(0.249) q[8]; rz(0.1141) q[8]; ry(0.4831) q[9]; rz(0.0103) q[9]; ry(-0.4064) q[10]; rz(0.0083) q[10]; ry(-0.0156) q[11]; rz(0.1701) q[11]; ry(0.3396) q[12]; rz(-0.0561) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(-0.0021) q[1]; ry(-0.0021) q[1]; rz(-0.0086) q[2]; rz(-0.0086) q[2]; cz q[2], q[1]; ry(0.8449) q[3]; ry(0.8449) q[3]; rz(0.0086) q[4]; rz(0.0086) q[4]; cz q[4], q[3]; ry(0.1115) q[5]; ry(0.1115) q[5]; rz(0.0007) q[6]; rz(0.0007) q[6]; cz q[6], q[5]; ry(0.0074) q[7]; ry(0.0074) q[7]; rz(0.1095) q[8]; rz(0.1095) q[8]; cz q[8], q[7]; ry(-0.165) q[9]; ry(-0.165) q[9]; rz(-0.0012) q[10]; rz(-0.0012) q[10]; cz q[10], q[9]; ry(0.8914) q[11]; ry(0.8914) q[11]; cz q[12], q[11]; ry(1.0034) q[0]; rz(0.0014) q[0]; ry(0.0017) q[1]; rz(-0.1876) q[1]; ry(0.9953) q[2]; rz(0.001) q[2]; ry(0.8225) q[3]; rz(-0.2646) q[3]; ry(0.5831) q[4]; rz(0.0084) q[4]; ry(0.0325) q[5]; rz(-0.0657) q[5]; ry(1.0041) q[6]; rz(0.0076) q[6]; ry(-0.1032) q[7]; rz(0.0339) q[7]; ry(0.6735) q[8]; rz(0.0001) q[8]; ry(0.317) q[9]; rz(0.0274) q[9]; ry(0.9984) q[10]; rz(0.0093) q[10]; ry(0.748) q[11]; rz(-0.1942) q[11]; ry(0.3416) q[12]; rz(0.0043) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(-0.0013) q[1]; ry(-0.0013) q[1]; rz(0.0017) q[2]; rz(0.0017) q[2]; cz q[2], q[1]; ry(-0.1202) q[3]; ry(-0.1202) q[3]; rz(0.0052) q[4]; rz(0.0052) q[4]; cz q[4], q[3]; ry(0.1077) q[5]; ry(0.1077) q[5]; rz(0.0046) q[6]; rz(0.0046) q[6]; cz q[6], q[5]; ry(0.0429) q[7]; ry(0.0429) q[7]; rz(0.0023) q[8]; rz(0.0023) q[8]; cz q[8], q[7]; ry(-0.0137) q[9]; ry(-0.0137) q[9]; rz(0.0078) q[10]; rz(0.0078) q[10]; cz q[10], q[9]; ry(-0.012) q[11]; ry(-0.012) q[11]; cz q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[13] c; qubit[13] q; ry(x0) q[0]; rz(x1) q[0]; ry(x2) q[1]; rz(x3) q[1]; ry(x4) q[2]; rz(x5) q[2]; ry(x6) q[3]; rz(x7) q[3]; ry(x8) q[4]; rz(x9) q[4]; ry(x10) q[5]; rz(x11) q[5]; ry(x12) q[6]; rz(x2) q[6]; ry(x13) q[7]; rz(x1) q[7]; ry(x14) q[8]; rz(x15) q[8]; ry(x16) q[9]; rz(x17) q[9]; ry(x18) q[10]; rz(x19) q[10]; ry(x20) q[11]; rz(x21) q[11]; ry(x22) q[12]; rz(x23) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(x24) q[1]; ry(x24) q[1]; rz(x25) q[2]; rz(x25) q[2]; cz q[2], q[1]; ry(x26) q[3]; ry(x26) q[3]; rz(x27) q[4]; rz(x27) q[4]; cz q[4], q[3]; ry(x28) q[5]; ry(x28) q[5]; rz(x29) q[6]; rz(x29) q[6]; cz q[6], q[5]; ry(x30) q[7]; ry(x30) q[7]; rz(x31) q[8]; rz(x31) q[8]; cz q[8], q[7]; ry(x32) q[9]; ry(x32) q[9]; rz(x33) q[10]; rz(x33) q[10]; cz q[10], q[9]; ry(x34) q[11]; ry(x34) q[11]; cz q[12], q[11]; ry(x35) q[0]; rz(x36) q[0]; ry(x37) q[1]; rz(x38) q[1]; ry(x39) q[2]; rz(x40) q[2]; ry(x41) q[3]; rz(x42) q[3]; ry(x43) q[4]; rz(x44) q[4]; ry(x45) q[5]; rz(x46) q[5]; ry(x47) q[6]; rz(x48) q[6]; ry(x49) q[7]; rz(x50) q[7]; ry(x51) q[8]; rz(x52) q[8]; ry(x53) q[9]; rz(x54) q[9]; ry(x55) q[10]; rz(x56) q[10]; ry(x57) q[11]; rz(x58) q[11]; ry(x59) q[12]; rz(x60) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(x61) q[1]; ry(x61) q[1]; rz(x62) q[2]; rz(x62) q[2]; cz q[2], q[1]; ry(x63) q[3]; ry(x63) q[3]; rz(x64) q[4]; rz(x64) q[4]; cz q[4], q[3]; ry(x65) q[5]; ry(x65) q[5]; rz(x66) q[6]; rz(x66) q[6]; cz q[6], q[5]; ry(x67) q[7]; ry(x67) q[7]; rz(x68) q[8]; rz(x68) q[8]; cz q[8], q[7]; ry(x69) q[9]; ry(x69) q[9]; rz(x70) q[10]; rz(x70) q[10]; cz q[10], q[9]; ry(x71) q[11]; ry(x71) q[11]; cz q[12], q[11]; ry(x72) q[0]; rz(x73) q[0]; ry(x37) q[1]; rz(x74) q[1]; ry(x75) q[2]; rz(x76) q[2]; ry(x77) q[3]; rz(x78) q[3]; ry(x79) q[4]; rz(x80) q[4]; ry(x81) q[5]; rz(x82) q[5]; ry(x83) q[6]; rz(x84) q[6]; ry(x85) q[7]; rz(x86) q[7]; ry(x87) q[8]; rz(x88) q[8]; ry(x89) q[9]; rz(x90) q[9]; ry(x91) q[10]; rz(x92) q[10]; ry(x93) q[11]; rz(x94) q[11]; ry(x95) q[12]; rz(x96) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(x97) q[1]; ry(x97) q[1]; rz(x37) q[2]; rz(x37) q[2]; cz q[2], q[1]; ry(x98) q[3]; ry(x98) q[3]; rz(x99) q[4]; rz(x99) q[4]; cz q[4], q[3]; ry(x100) q[5]; ry(x100) q[5]; rz(x101) q[6]; rz(x101) q[6]; cz q[6], q[5]; ry(x102) q[7]; ry(x102) q[7]; rz(x103) q[8]; rz(x103) q[8]; cz q[8], q[7]; ry(x104) q[9]; ry(x104) q[9]; rz(x105) q[10]; rz(x105) q[10]; cz q[10], q[9]; ry(x106) q[11]; ry(x106) q[11]; cz q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
null
{"circuits": [], "gradients": []}
f66a982a183ade09db0d8bd37adec82b
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 9}, {"weight": 2, "source": 2, "target": 3}, {"weight": 11, "source": 3, "target": 8}, {"weight": 8, "source": 4, "target": 5}, {"weight": 13, "source": 4, "target": 8}, {"weight": 9, "source": 6, "target": 7}, {"weight": 20, "source": 6, "target": 8}, {"weight": 17, "source": 7, "target": 9}, {"weight": 1, "source": 8, "target": 9}]}
{"states": [343, 342], "expectation_value": -94.85947995663857, "params": [0.14930000000000002, -0.0067, 0.7897000000000001, 0.0017000000000000001, 0.30870000000000003, 0.0563, 0.787, -0.0014, 0.3483, -0.014700000000000001, 0.788, -0.004, 0.1807, -0.3062, 0.7759, -0.0426, 0.7619, -0.1051, 0.3754, -0.19790000000000002, 0.15080000000000002, -0.0036000000000000003, 0.791, 0.0022, 0.3366, 0.014400000000000001, 0.7868, -0.0044, 0.3773, -0.033, 0.7823, 0.022600000000000002, 0.18780000000000002, -0.2644, 0.7742, -0.004200000000000001, 0.7587, 0.062400000000000004, 0.36410000000000003, -0.21080000000000002, 0.15480000000000002, -0.007500000000000001, 0.7905000000000001, 0.0014, 0.2464, -0.034, 0.7902, -0.0018000000000000002, 0.2948, -0.0244, 0.7879, -0.0034000000000000002, 0.18180000000000002, -0.3121, 0.6646000000000001, 0.0609, 0.7574000000000001, 0.0558, 0.3682, -0.23900000000000002, 0.1563, 0.0043, 0.7898000000000001, -0.012, 0.1292, -0.0154, 0.7843, -0.010100000000000001, 0.1253, 0.08080000000000001, 0.7805000000000001, 0.2659, 0.17400000000000002, -0.216, 0.4399, 0.1135, 0.7534000000000001, -0.1353, 0.3294, 0.009600000000000001, 0.0673, -0.0741, 0.16190000000000002, -0.1042, 0.027100000000000003, -0.1955, 0.0426, -0.21960000000000002, -0.6955, 0.0211, 0.0334, -0.0983, 0.019200000000000002, -0.1978, -0.0115, -0.4934, 0.0055000000000000005, -0.227, -0.10840000000000001, 0.15990000000000001, -0.36960000000000004, 0.1658, -0.37420000000000003, 0.1642, -0.2752, 0.2082, 0.16190000000000002, -0.5581, 0.1827, -0.6761, 0.171, -0.7322000000000001, 0.17980000000000002, -0.1206, 0.33680000000000004, 0.4582], "bitstrings": ["1010101000", "1010101001"], "total_optimization_steps": 80, "probabilities": [0.36818057570405915, 0.5695441886088621], "optimization_time": 15.117012023925781}
5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 14.0 * Z(1) + -4.0 * Z(0) + 16.5 * Z(3) + -4.5 * Z(2) + 17.5 * Z(5) + -1.5 * Z(4) + 21.0 * Z(7) + 4.5 * Z(6) + 14.0 * Z(8) + 17.0 * Z(9)
4
10
4
{"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1010101001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; rx(0.1493) q[0]; rz(-0.0067) q[0]; rx(0.7897) q[1]; rz(0.0017) q[1]; rx(0.3087) q[2]; rz(0.0563) q[2]; rx(0.787) q[3]; rz(-0.0014) q[3]; rx(0.3483) q[4]; rz(-0.0147) q[4]; rx(0.788) q[5]; rz(-0.004) q[5]; rx(0.1807) q[6]; rz(-0.3062) q[6]; rx(0.7759) q[7]; rz(-0.0426) q[7]; rx(0.7619) q[8]; rz(-0.1051) q[8]; rx(0.3754) q[9]; rz(-0.1979) q[9]; crx(-0.6955) q[9], q[8]; crx(-0.2196) q[8], q[7]; crx(0.0426) q[7], q[6]; crx(-0.1955) q[6], q[5]; crx(0.0271) q[5], q[4]; crx(-0.1042) q[4], q[3]; crx(0.1619) q[3], q[2]; crx(-0.0741) q[2], q[1]; crx(0.0673) q[1], q[0]; rx(0.1508) q[0]; rz(-0.0036) q[0]; rx(0.791) q[1]; rz(0.0022) q[1]; rx(0.3366) q[2]; rz(0.0144) q[2]; rx(0.7868) q[3]; rz(-0.0044) q[3]; rx(0.3773) q[4]; rz(-0.033) q[4]; rx(0.7823) q[5]; rz(0.0226) q[5]; rx(0.1878) q[6]; rz(-0.2644) q[6]; rx(0.7742) q[7]; rz(-0.0042) q[7]; rx(0.7587) q[8]; rz(0.0624) q[8]; rx(0.3641) q[9]; rz(-0.2108) q[9]; crx(-0.227) q[9], q[8]; crx(0.0055) q[8], q[7]; crx(-0.4934) q[7], q[6]; crx(-0.0115) q[6], q[5]; crx(-0.1978) q[5], q[4]; crx(0.0192) q[4], q[3]; crx(-0.0983) q[3], q[2]; crx(0.0334) q[2], q[1]; crx(0.0211) q[1], q[0]; rx(0.1548) q[0]; rz(-0.0075) q[0]; rx(0.7905) q[1]; rz(0.0014) q[1]; rx(0.2464) q[2]; rz(-0.034) q[2]; rx(0.7902) q[3]; rz(-0.0018) q[3]; rx(0.2948) q[4]; rz(-0.0244) q[4]; rx(0.7879) q[5]; rz(-0.0034) q[5]; rx(0.1818) q[6]; rz(-0.3121) q[6]; rx(0.6646) q[7]; rz(0.0609) q[7]; rx(0.7574) q[8]; rz(0.0558) q[8]; rx(0.3682) q[9]; rz(-0.239) q[9]; crx(0.1619) q[9], q[8]; crx(0.2082) q[8], q[7]; crx(-0.2752) q[7], q[6]; crx(0.1642) q[6], q[5]; crx(-0.3742) q[5], q[4]; crx(0.1658) q[4], q[3]; crx(-0.3696) q[3], q[2]; crx(0.1599) q[2], q[1]; crx(-0.1084) q[1], q[0]; rx(0.1563) q[0]; rz(0.0043) q[0]; rx(0.7898) q[1]; rz(-0.012) q[1]; rx(0.1292) q[2]; rz(-0.0154) q[2]; rx(0.7843) q[3]; rz(-0.0101) q[3]; rx(0.1253) q[4]; rz(0.0808) q[4]; rx(0.7805) q[5]; rz(0.2659) q[5]; rx(0.174) q[6]; rz(-0.216) q[6]; rx(0.4399) q[7]; rz(0.1135) q[7]; rx(0.7534) q[8]; rz(-0.1353) q[8]; rx(0.3294) q[9]; rz(0.0096) q[9]; crx(0.4582) q[9], q[8]; crx(0.3368) q[8], q[7]; crx(-0.1206) q[7], q[6]; crx(0.1798) q[6], q[5]; crx(-0.7322) q[5], q[4]; crx(0.171) q[4], q[3]; crx(-0.6761) q[3], q[2]; crx(0.1827) q[2], q[1]; crx(-0.5581) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[8], q[7]; crx(x22) q[7], q[6]; crx(x23) q[6], q[5]; crx(x24) q[5], q[4]; crx(x25) q[4], q[3]; crx(x26) q[3], q[2]; crx(x27) q[2], q[1]; crx(x28) q[1], q[0]; rx(x29) q[0]; rz(x30) q[0]; rx(x31) q[1]; rz(x32) q[1]; rx(x33) q[2]; rz(x34) q[2]; rx(x35) q[3]; rz(x36) q[3]; rx(x37) q[4]; rz(x38) q[4]; rx(x39) q[5]; rz(x40) q[5]; rx(x41) q[6]; rz(x42) q[6]; rx(x43) q[7]; rz(x44) q[7]; rx(x45) q[8]; rz(x46) q[8]; rx(x47) q[9]; rz(x48) q[9]; crx(x49) q[9], q[8]; crx(x50) q[8], q[7]; crx(x51) q[7], q[6]; crx(x52) q[6], q[5]; crx(x53) q[5], q[4]; crx(x54) q[4], q[3]; crx(x55) q[3], q[2]; crx(x56) q[2], q[1]; crx(x57) q[1], q[0]; rx(x58) q[0]; rz(x59) q[0]; rx(x60) q[1]; rz(x61) q[1]; rx(x62) q[2]; rz(x63) q[2]; rx(x64) q[3]; rz(x65) q[3]; rx(x66) q[4]; rz(x67) q[4]; rx(x68) q[5]; rz(x69) q[5]; rx(x70) q[6]; rz(x71) q[6]; rx(x72) q[7]; rz(x73) q[7]; rx(x74) q[8]; rz(x75) q[8]; rx(x76) q[9]; rz(x77) q[9]; crx(x26) q[9], q[8]; crx(x78) q[8], q[7]; crx(x79) q[7], q[6]; crx(x80) q[6], q[5]; crx(x81) q[5], q[4]; crx(x82) q[4], q[3]; crx(x83) q[3], q[2]; crx(x84) q[2], q[1]; crx(x85) q[1], q[0]; rx(x86) q[0]; rz(x87) q[0]; rx(x88) q[1]; rz(x89) q[1]; rx(x90) q[2]; rz(x91) q[2]; rx(x92) q[3]; rz(x93) q[3]; rx(x94) q[4]; rz(x95) q[4]; rx(x96) q[5]; rz(x97) q[5]; rx(x98) q[6]; rz(x99) q[6]; rx(x100) q[7]; rz(x101) q[7]; rx(x102) q[8]; rz(x103) q[8]; rx(x104) q[9]; rz(x105) q[9]; crx(x106) q[9], q[8]; crx(x107) q[8], q[7]; crx(x108) q[7], q[6]; crx(x109) q[6], q[5]; crx(x110) q[5], q[4]; crx(x111) q[4], q[3]; crx(x112) q[3], q[2]; crx(x113) q[2], q[1]; crx(x114) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"matching": "perfect", "extra": "{\"n\": 10}"}
{"circuits": [], "gradients": []}
a91613587e2e3ed31c854337981da9dd
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6}, {"capacity": 5, "source": 5, "target": 3}, {"capacity": 4, "source": 6, "target": 4}]}
{"states": [1, 5], "expectation_value": -8.994069887330976, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 21, "probabilities": [0.49801329686780876, 0.49901874048113365], "optimization_time": 15.182564735412598}
-0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -1.75 * Z(4) + 1.25 * Z(5)
1
8
4
{"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; ry(-1.5708) q[4]; ry(-1.5708) q[2]; ry(-1.5708) q[3]; ry(-1.5708) q[6]; ry(1.4449) q[7]; cry(-1.5481) q[7], q[0]; ry(-1.444) q[1]; cry(-0.1195) q[7], q[1]; cry(0.0839) q[5], q[7]; ry(-0.0245) q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"source": 0, "sink": 7}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [1.7412, 1.987, 1.7417, 1.7491, 0.4985, 0.7463, 0.4989, 0.0637, 0.0438, 0.026, 0.0125, 0.0087, 0.0075, 0.0075, 0.0062, 0.0052, 0.0052, 0.005, 0.0035, 0.0035, 0.003]}
9e7016c164f10697b0206c1127149a76
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]}
{"states": [17, 3], "expectation_value": -6.917947095858679, "params": [[-0.062400000000000004, -0.038900000000000004], [0.0736, 0.0732]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03244915018638139, 0.03320132372367608], "optimization_time": 3.192864179611206}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.0 * Z(1) + -6.0 * Z(0) + -6.0 * Z(2) + -6.0 * Z(3) + -5.5 * Z(4) + -5.5 * Z(5)
18
6
2
{"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[1], q[0]; rz(-0.2808) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.2808) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.2808) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(-0.2808) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.2808) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.2808) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(-0.312) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.312) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.2808) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.2808) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(-0.2808) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.2808) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.312) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.312) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.312) q[5]; cx q[4], q[5]; rz(0.7488) q[1]; rz(0.7488) q[0]; rz(0.7488) q[2]; rz(0.7488) q[3]; rz(0.6864) q[4]; rz(0.6864) q[5]; h q[0]; rz(0.1472) q[0]; h q[0]; h q[1]; rz(0.1472) q[1]; h q[1]; h q[2]; rz(0.1472) q[2]; h q[2]; h q[3]; rz(0.1472) q[3]; h q[3]; h q[4]; rz(0.1472) q[4]; h q[4]; h q[5]; rz(0.1472) q[5]; h q[5]; cx q[1], q[0]; rz(-0.1751) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.1751) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.1751) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(-0.1751) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.1751) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.1751) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(-0.1945) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.1945) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.1751) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.1751) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(-0.1751) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.1751) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.1945) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.1945) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.1945) q[5]; cx q[4], q[5]; rz(0.4668) q[1]; rz(0.4668) q[0]; rz(0.4668) q[2]; rz(0.4668) q[3]; rz(0.4279) q[4]; rz(0.4279) q[5]; h q[0]; rz(0.1464) q[0]; h q[0]; h q[1]; rz(0.1464) q[1]; h q[1]; h q[2]; rz(0.1464) q[2]; h q[2]; h q[3]; rz(0.1464) q[3]; h q[3]; h q[4]; rz(0.1464) q[4]; h q[4]; h q[5]; rz(0.1464) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; rz(x2) q[1]; rz(x2) q[0]; rz(x2) q[2]; rz(x2) q[3]; rz(x3) q[4]; rz(x3) q[5]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; cx q[1], q[0]; rz(x5) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x5) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x5) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x5) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x5) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x5) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x6) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x6) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x5) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x5) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x5) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x5) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x6) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x6) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x6) q[5]; cx q[4], q[5]; rz(x7) q[1]; rz(x7) q[0]; rz(x7) q[2]; rz(x7) q[3]; rz(x8) q[4]; rz(x8) q[5]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
{"k": 4}
{"circuits": [], "gradients": []}
fbc4c53f550402aa7d6311a5b02e2bb5
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 8}, {"weight": 13, "source": 1, "target": 4}, {"weight": 1, "source": 2, "target": 3}, {"weight": 8, "source": 4, "target": 5}, {"weight": 2, "source": 6, "target": 7}, {"weight": 13, "source": 7, "target": 8}]}
{"states": [481, 241], "expectation_value": -8.032082213542301, "params": [[0.0507], [-0.0625]], "bitstrings": ["000011110", "100001110"], "total_optimization_steps": 10, "probabilities": [0.004101645878198956, 0.004221163738447266], "optimization_time": 4.074758768081665}
5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 14.5 * Z(0) + 12.5 * Z(2) + 12.0 * Z(4) + 11.5 * Z(3) + -4.5 * Z(5) + 4.0 * Z(6) + 6.5 * Z(8) + -4.0 * Z(7)
1
9
1
{"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["100001110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(0.507) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.507) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.507) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(0.507) q[4]; cx q[0], q[4]; cx q[0], q[3]; rz(0.507) q[3]; cx q[0], q[3]; cx q[4], q[3]; rz(0.507) q[3]; cx q[4], q[3]; cx q[1], q[5]; rz(0.507) q[5]; cx q[1], q[5]; cx q[2], q[6]; rz(0.507) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.507) q[6]; cx q[3], q[6]; cx q[4], q[8]; rz(0.507) q[8]; cx q[4], q[8]; cx q[8], q[7]; rz(0.507) q[7]; cx q[8], q[7]; rz(1.4703) q[1]; rz(1.4703) q[0]; rz(1.2675) q[2]; rz(1.2168) q[4]; rz(1.1661) q[3]; rz(-0.4563) q[5]; rz(0.4056) q[6]; rz(0.6591) q[8]; rz(-0.4056) q[7]; h q[0]; rz(-0.125) q[0]; h q[0]; h q[1]; rz(-0.125) q[1]; h q[1]; h q[2]; rz(-0.125) q[2]; h q[2]; h q[3]; rz(-0.125) q[3]; h q[3]; h q[4]; rz(-0.125) q[4]; h q[4]; h q[5]; rz(-0.125) q[5]; h q[5]; h q[6]; rz(-0.125) q[6]; h q[6]; h q[7]; rz(-0.125) q[7]; h q[7]; h q[8]; rz(-0.125) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[4], q[8]; rz(x0) q[8]; cx q[4], q[8]; cx q[8], q[7]; rz(x0) q[7]; cx q[8], q[7]; rz(x1) q[1]; rz(x1) q[0]; rz(x2) q[2]; rz(x3) q[4]; rz(x4) q[3]; rz(x5) q[5]; rz(x6) q[6]; rz(x7) q[8]; rz(x8) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; h q[8]; rz(x9) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "near_perfect", "extra": "{\"n\": 9}"}
{"circuits": [], "gradients": []}
444b62b2304e1a19fde52e526911bdcb
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 13.147481203079224}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4)
1
6
3
{"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; ry(-1.5708) q[5]; ry(-1.5681) q[3]; cry(-1.0343) q[0], q[1]; cry(-1.0342) q[4], q[2]; ry(0.7003) q[4]; ry(0.7003) q[0]; ry(-0.4549) q[1]; ry(-0.4549) q[2]; cry(0.4578) q[4], q[0]; cry(0.4515) q[0], q[4]; cry(-0.3537) q[0], q[2]; cry(-0.3472) q[4], q[1]; cry(0.1049) q[2], q[0]; cry(0.1015) q[1], q[4]; cry(-0.099) q[2], q[4]; cry(-0.0945) q[1], q[0]; cry(-0.0027) q[4], q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\ncry(-0.0027) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\ncry(-0.0027) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\ncry(-0.0027) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n"], "gradients": [1.5092, 1.0052, 0.2506, 0.2506, 0.2461, 0.2457, 0.188, 0.1878, 0.1757, 0.188, 0.1593, 0.1561, 0.0224, 0.0217, 0.0217, 0.0207, 0.0061, 0.004, 0.0026]}
f736cdcdd3e9fab7057c0068d5117a32
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 3}, {"weight": 5, "source": 2, "target": 3}, {"weight": 15, "source": 2, "target": 4}, {"weight": 3, "source": 4, "target": 5}, {"weight": 7, "source": 6, "target": 7}]}
{"states": [348, 244], "expectation_value": -14.444477322662678, "params": [[0.041], [-0.0877]], "bitstrings": ["010100011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0046230206488169796, 0.005360251616851105], "optimization_time": 1.9177680015563965}
4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) + 13.5 * Z(0) + 13.0 * Z(2) + 19.0 * Z(3) + 17.0 * Z(4) + 11.5 * Z(5) + 12.0 * Z(6) + -3.0 * Z(7) + -1.0 * Z(8)
1
9
1
{"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(0.369) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.369) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.369) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(0.369) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(0.369) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.369) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(0.369) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.369) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(0.369) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.369) q[5]; cx q[4], q[5]; cx q[3], q[6]; rz(0.369) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.369) q[6]; cx q[5], q[6]; cx q[6], q[7]; rz(0.369) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(0.369) q[8]; cx q[2], q[8]; rz(1.312) q[1]; rz(1.107) q[0]; rz(1.066) q[2]; rz(1.558) q[3]; rz(1.394) q[4]; rz(0.943) q[5]; rz(0.984) q[6]; rz(-0.246) q[7]; rz(-0.082) q[8]; h q[0]; rz(-0.1754) q[0]; h q[0]; h q[1]; rz(-0.1754) q[1]; h q[1]; h q[2]; rz(-0.1754) q[2]; h q[2]; h q[3]; rz(-0.1754) q[3]; h q[3]; h q[4]; rz(-0.1754) q[4]; h q[4]; h q[5]; rz(-0.1754) q[5]; h q[5]; h q[6]; rz(-0.1754) q[6]; h q[6]; h q[7]; rz(-0.1754) q[7]; h q[7]; h q[8]; rz(-0.1754) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[7]; rz(x9) q[8]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; h q[7]; rz(x10) q[7]; h q[7]; h q[8]; rz(x10) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "perfect", "extra": "{\"n\": 8}"}
{"circuits": [], "gradients": []}
1dcb3c744ddd55658248ce3c7196418c
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]}
{"states": [0, 6], "expectation_value": -1.7417622267617223, "params": [0.6591, 0.2998, 0.48400000000000004, -0.0814, 0.6567000000000001, 0.2545, 0.46490000000000004, -0.058100000000000006, 0.561, 0.44120000000000004, 0.41600000000000004, -0.1075, 0.3274, -0.0916, 0.1623, 0.0047, 0.3451, -0.0721, 0.013800000000000002, 0.007200000000000001, 0.27290000000000003, -0.1424, -0.11860000000000001, 0.0011, 0.5023, 0.5189, 0.22840000000000002, 0.8058000000000001, 0.9495, -0.8294], "bitstrings": ["111", "001"], "total_optimization_steps": 130, "probabilities": [0.2812959437931447, 0.66118915866164], "optimization_time": 6.659825563430786}
-1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2)
6
3
2
{"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[3] c; qubit[3] q; rx(0.6591) q[0]; rz(0.2998) q[0]; rx(0.6567) q[1]; rz(0.2545) q[1]; rx(0.561) q[2]; rz(0.4412) q[2]; crx(0.5189) q[2], q[1]; crx(0.5023) q[2], q[0]; crx(0.2284) q[1], q[2]; crx(0.5023) q[1], q[0]; crx(0.2284) q[0], q[2]; crx(0.5189) q[0], q[1]; rx(0.484) q[0]; rz(-0.0814) q[0]; rx(0.4649) q[1]; rz(-0.0581) q[1]; rx(0.416) q[2]; rz(-0.1075) q[2]; rx(0.3274) q[0]; rz(-0.0916) q[0]; rx(0.3451) q[1]; rz(-0.0721) q[1]; rx(0.2729) q[2]; rz(-0.1424) q[2]; crx(0.9495) q[2], q[1]; crx(0.8058) q[2], q[0]; crx(-0.8294) q[1], q[2]; crx(0.8058) q[1], q[0]; crx(-0.8294) q[0], q[2]; crx(0.9495) q[0], q[1]; rx(0.1623) q[0]; rz(0.0047) q[0]; rx(0.0138) q[1]; rz(0.0072) q[1]; rx(-0.1186) q[2]; rz(0.0011) q[2]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[3] c; qubit[3] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; crx(x6) q[2], q[1]; crx(x7) q[2], q[0]; crx(x8) q[1], q[2]; crx(x7) q[1], q[0]; crx(x8) q[0], q[2]; crx(x6) q[0], q[1]; rx(x9) q[0]; rz(x10) q[0]; rx(x11) q[1]; rz(x12) q[1]; rx(x13) q[2]; rz(x14) q[2]; rx(x15) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; crx(x21) q[2], q[1]; crx(x22) q[2], q[0]; crx(x23) q[1], q[2]; crx(x22) q[1], q[0]; crx(x23) q[0], q[2]; crx(x21) q[0], q[1]; rx(x24) q[0]; rz(x25) q[0]; rx(x26) q[1]; rz(x27) q[1]; rx(x28) q[2]; rz(x29) q[2]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2];
{"node": 2}
{"circuits": [], "gradients": []}
3ce4a4ba7ee8a45f8917cf89915e33a4
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}], "edges": [{"weight": 1, "source": 0, "target": 8}, {"weight": 4, "source": 1, "target": 9}, {"weight": 4, "source": 2, "target": 10}, {"weight": 6, "source": 3, "target": 11}, {"weight": 12, "source": 3, "target": 10}, {"weight": 20, "source": 3, "target": 9}, {"weight": 7, "source": 4, "target": 12}, {"weight": 20, "source": 4, "target": 9}, {"weight": 12, "source": 6, "target": 9}, {"weight": 12, "source": 6, "target": 12}]}
{"states": [636, 87], "expectation_value": -18.91213532135983, "params": [[[0.3019, 0.29810000000000003], [0.2646, 0.2958], [-0.23340000000000002, 0.2982], [0.3037, 0.29960000000000003], [0.3017, 0.2972], [0.2978, 0.3003], [0.23170000000000002, 0.2995], [0.29760000000000003, 0.3054], [0.30260000000000004, 0.26680000000000004], [0.3037, 0.30360000000000004]], [[0.3017, 0.2927], [0.2811, 0.2923], [-0.2283, 0.3002], [0.302, 0.2962], [0.2884, 0.2942], [0.3043, 0.308], [0.2901, 0.2803], [0.2952, 0.3058], [0.1963, 0.2972], [0.2978, 0.2979]], [[0.3069, 0.28350000000000003], [0.28800000000000003, 0.2893], [-0.2165, 0.3019], [0.30760000000000004, 0.3045], [0.1738, 0.2934], [0.3017, 0.3059], [0.2813, 0.27740000000000004], [0.29710000000000003, 0.307], [0.2953, 0.29660000000000003], [0.26730000000000004, 0.0369]], [[0.2957, 0.29000000000000004], [0.2959, 0.1792], [-0.1857, 0.3], [0.3015, 0.30360000000000004], [0.22290000000000001, 0.3005], [0.29760000000000003, 0.3079], [0.2914, 0.08370000000000001], [0.3007, 0.2914], [0.2987, 0.2963], [0.3009, 0.307]]], "bitstrings": ["0110000011", "1110101000"], "total_optimization_steps": 30, "probabilities": [0.020048189407745883, 0.026715397753511432], "optimization_time": 34.502854347229004}
7.0 * (Z(1) @ Z(5)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 31.0 * Z(5) + 9.0 * Z(1) + 13.0 * Z(3) + -5.0 * Z(2) + 3.0 * Z(4) + 24.0 * Z(7) + 3.5 * Z(6) + 6.0 * Z(8) + 20.0 * Z(9) + -13.5 * Z(0)
15
10
4
{"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.0, "smallest_bitstrings": ["1110101000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; ry(0.3019) q[0]; ry(0.2646) q[1]; ry(-0.2334) q[2]; ry(0.3037) q[3]; ry(0.3017) q[4]; ry(0.2978) q[5]; ry(0.2317) q[6]; ry(0.2976) q[7]; ry(0.3026) q[8]; ry(0.3037) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.2981) q[0]; ry(0.2958) q[1]; ry(0.2982) q[2]; ry(0.2996) q[3]; ry(0.2972) q[4]; ry(0.3003) q[5]; ry(0.2995) q[6]; ry(0.3054) q[7]; ry(0.2668) q[8]; ry(0.3036) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(0.3017) q[0]; ry(0.2811) q[1]; ry(-0.2283) q[2]; ry(0.302) q[3]; ry(0.2884) q[4]; ry(0.3043) q[5]; ry(0.2901) q[6]; ry(0.2952) q[7]; ry(0.1963) q[8]; ry(0.2978) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.2927) q[0]; ry(0.2923) q[1]; ry(0.3002) q[2]; ry(0.2962) q[3]; ry(0.2942) q[4]; ry(0.308) q[5]; ry(0.2803) q[6]; ry(0.3058) q[7]; ry(0.2972) q[8]; ry(0.2979) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(0.3069) q[0]; ry(0.288) q[1]; ry(-0.2165) q[2]; ry(0.3076) q[3]; ry(0.1738) q[4]; ry(0.3017) q[5]; ry(0.2813) q[6]; ry(0.2971) q[7]; ry(0.2953) q[8]; ry(0.2673) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.2835) q[0]; ry(0.2893) q[1]; ry(0.3019) q[2]; ry(0.3045) q[3]; ry(0.2934) q[4]; ry(0.3059) q[5]; ry(0.2774) q[6]; ry(0.307) q[7]; ry(0.2966) q[8]; ry(0.0369) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(0.2957) q[0]; ry(0.2959) q[1]; ry(-0.1857) q[2]; ry(0.3015) q[3]; ry(0.2229) q[4]; ry(0.2976) q[5]; ry(0.2914) q[6]; ry(0.3007) q[7]; ry(0.2987) q[8]; ry(0.3009) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.29) q[0]; ry(0.1792) q[1]; ry(0.3) q[2]; ry(0.3036) q[3]; ry(0.3005) q[4]; ry(0.3079) q[5]; ry(0.0837) q[6]; ry(0.2914) q[7]; ry(0.2963) q[8]; ry(0.307) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x3) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x9) q[0]; ry(x10) q[1]; ry(x11) q[2]; ry(x12) q[3]; ry(x13) q[4]; ry(x14) q[5]; ry(x15) q[6]; ry(x16) q[7]; ry(x17) q[8]; ry(x18) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x4) q[0]; ry(x19) q[1]; ry(x20) q[2]; ry(x21) q[3]; ry(x22) q[4]; ry(x23) q[5]; ry(x24) q[6]; ry(x25) q[7]; ry(x26) q[8]; ry(x5) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x27) q[0]; ry(x28) q[1]; ry(x29) q[2]; ry(x30) q[3]; ry(x31) q[4]; ry(x32) q[5]; ry(x33) q[6]; ry(x34) q[7]; ry(x13) q[8]; ry(x35) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x36) q[0]; ry(x37) q[1]; ry(x38) q[2]; ry(x39) q[3]; ry(x40) q[4]; ry(x4) q[5]; ry(x41) q[6]; ry(x42) q[7]; ry(x43) q[8]; ry(x44) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x45) q[0]; ry(x46) q[1]; ry(x0) q[2]; ry(x47) q[3]; ry(x48) q[4]; ry(x49) q[5]; ry(x50) q[6]; ry(x51) q[7]; ry(x52) q[8]; ry(x53) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x54) q[0]; ry(x55) q[1]; ry(x56) q[2]; ry(x57) q[3]; ry(x58) q[4]; ry(x7) q[5]; ry(x59) q[6]; ry(x60) q[7]; ry(x61) q[8]; ry(x62) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x63) q[0]; ry(x64) q[1]; ry(x65) q[2]; ry(x18) q[3]; ry(x66) q[4]; ry(x67) q[5]; ry(x68) q[6]; ry(x59) q[7]; ry(x69) q[8]; ry(x51) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"}
{"circuits": [], "gradients": []}
6172ec2f30329f156b64312801e66ef4
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 6}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 3, "source": 4, "target": 5}, {"capacity": 5, "source": 5, "target": 3}]}
{"states": [64, 47], "expectation_value": -2.1211934252315214, "params": [[0.16010000000000002], [-0.14850000000000002]], "bitstrings": ["0111111", "1010000"], "total_optimization_steps": 20, "probabilities": [0.016590043150341974, 0.017788148351099684], "optimization_time": 1.7268462181091309}
-1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5)
1
7
1
{"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(-0.4003) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(-0.4003) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(-0.0801) q[3]; cx q[1], q[3]; cx q[2], q[6]; rz(-0.3202) q[6]; cx q[2], q[6]; cx q[0], q[6]; rz(0.4803) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.2402) q[6]; cx q[1], q[6]; cx q[1], q[4]; rz(-0.1601) q[4]; cx q[1], q[4]; cx q[3], q[5]; rz(-0.4003) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.2402) q[5]; cx q[4], q[5]; rz(-0.4803) q[2]; rz(-0.0801) q[0]; rz(0.5604) q[1]; rz(-0.4803) q[3]; rz(-0.0801) q[6]; rz(0.4003) q[4]; rz(0.1601) q[5]; h q[0]; rz(-0.297) q[0]; h q[0]; h q[1]; rz(-0.297) q[1]; h q[1]; h q[2]; rz(-0.297) q[2]; h q[2]; h q[3]; rz(-0.297) q[3]; h q[3]; h q[4]; rz(-0.297) q[4]; h q[4]; h q[5]; rz(-0.297) q[5]; h q[5]; h q[6]; rz(-0.297) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x1) q[3]; cx q[1], q[3]; cx q[2], q[6]; rz(x2) q[6]; cx q[2], q[6]; cx q[0], q[6]; rz(x3) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x4) q[6]; cx q[1], q[6]; cx q[1], q[4]; rz(x5) q[4]; cx q[1], q[4]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x4) q[5]; cx q[4], q[5]; rz(x6) q[2]; rz(x1) q[0]; rz(x7) q[1]; rz(x6) q[3]; rz(x1) q[6]; rz(x8) q[4]; rz(x9) q[5]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
6e37aef8e2f10c2778e28c9dc9b1affa
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}]}
{"states": [3558, 3574], "expectation_value": -3.1713464273165073, "params": [[[0.25630000000000003, 0.025500000000000002, 0.0051, 0.0071], [0.46290000000000003, -0.14300000000000002, 0.2853, -0.1565], [0.5898, -0.09960000000000001, -0.3698, -0.29600000000000004], [-0.1003, -0.27490000000000003, 1.0966, -0.0046], [0.2783, -0.0086, 0.0425, 0.0028], [-0.0673, -0.37310000000000004, 0.1933, 0.9541000000000001], [0.9817, 0.4657, 0.7229, -0.10160000000000001], [0.0434, -0.4043, 0.11900000000000001, -0.1978], [0.11910000000000001, 0.10070000000000001, -0.1053, 0.4001], [0.020800000000000003, -0.001, 0.9956, -0.014100000000000001], [-0.20220000000000002, 0.0743, 0.19260000000000002, -0.10500000000000001], [0.766, 0.0058000000000000005, 0.16, 0.1285], [0.16190000000000002, -0.0058000000000000005, 0.0008, 0.0035]], [[0.4102, -0.013600000000000001, 0.0076, 0.0097], [-0.0918, 0.2989, 0.4978, -0.0235], [0.871, 0.06280000000000001, -0.3285, 0.2199], [-0.5876, 0.18510000000000001, 1.1815, -0.012700000000000001], [1.1883000000000001, 0.0007, 1.1814, -0.0811], [0.5640000000000001, 0.6059, 0.0081, 0.6088], [0.5069, -0.3435, 0.0784, -0.6169], [-0.17270000000000002, 0.0796, 0.31970000000000004, -0.4535], [1.0845, -0.01, -0.1368, -0.7133], [-0.050100000000000006, -0.0874, 1.0649, 0.07490000000000001], [1.1936, -0.0064, -0.3952, -0.07590000000000001], [1.0614000000000001, -0.2511, 1.1243, 0.3522], [-0.0873, 0.16440000000000002, 0.008700000000000001, 0.009600000000000001]], [[-0.6228, 0.37560000000000004, 0.0091, 0.0094], [-0.6609, 0.5729000000000001, 0.052700000000000004, 0.0041], [0.2831, -0.1683, 0.8919, 0.0082], [1.1655, 0.191, 0.5083, 0.008400000000000001], [0.7191000000000001, -0.040600000000000004, 0.6171, 0.006200000000000001], [-0.0359, -0.48860000000000003, -0.0094, 0.0014], [-0.0391, -0.5804, 1.2078, 0.0071], [0.22840000000000002, 0.3453, 0.12660000000000002, 0.009000000000000001], [1.0228000000000002, 0.0427, 0.8034, 0.0006000000000000001], [0.8776, 0.0106, 0.3779, 0.0039000000000000003], [0.6138, 0.0579, 1.1154, 0.0032], [0.9125000000000001, 0.6691, -0.0589, 0.0076], [0.1627, 0.0031000000000000003, 0.0006000000000000001, 0.002]]], "bitstrings": ["1001000011001", "1001000001001"], "total_optimization_steps": 120, "probabilities": [0.2376168014929149, 0.39565713546769177], "optimization_time": 35.60154104232788}
0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(7) @ Z(8)) + -0.0625 * (Z(0) @ Z(2) @ Z(6)) + -0.0625 * (Z(0) @ Z(2) @ Z(7)) + -0.0625 * (Z(0) @ Z(2) @ Z(8)) + -0.0625 * (Z(0) @ Z(7) @ Z(6)) + -0.0625 * (Z(0) @ Z(8) @ Z(6)) + -0.0625 * (Z(0) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(2) @ Z(7)) + -0.0625 * (Z(6) @ Z(2) @ Z(8)) + -0.0625 * (Z(2) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(2) @ Z(7) @ Z(6)) + 0.0625 * (Z(0) @ Z(2) @ Z(8) @ Z(6)) + 0.0625 * (Z(0) @ Z(2) @ Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(7) @ Z(8) @ Z(6)) + 0.0625 * (Z(6) @ Z(2) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(2) @ Z(0) @ Z(8) @ Z(7)) + 0.25 * (Z(1) @ Z(9)) + 0.25 * (Z(1) @ Z(10)) + 0.25 * (Z(9) @ Z(10)) + -0.25 * (Z(1) @ Z(9) @ Z(10)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(12) @ Z(3)) + 0.125 * (Z(11) @ Z(6)) + 0.125 * (Z(6) @ Z(12)) + 0.125 * (Z(11) @ Z(12)) + -0.125 * (Z(11) @ Z(6) @ Z(3)) + -0.125 * (Z(6) @ Z(12) @ Z(3)) + -0.125 * (Z(11) @ Z(12) @ Z(3)) + -0.125 * (Z(11) @ Z(12) @ Z(6)) + 0.125 * (Z(11) @ Z(12) @ Z(6) @ Z(3)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(11) @ Z(4)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(11) @ Z(7)) + 0.125 * (Z(11) @ Z(9)) + -0.125 * (Z(7) @ Z(9) @ Z(4)) + -0.125 * (Z(11) @ Z(7) @ Z(4)) + -0.125 * (Z(11) @ Z(9) @ Z(4)) + -0.125 * (Z(11) @ Z(7) @ Z(9)) + 0.125 * (Z(11) @ Z(7) @ Z(9) @ Z(4)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(5) @ Z(10)) + 0.125 * (Z(5) @ Z(12)) + 0.125 * (Z(8) @ Z(10)) + 0.125 * (Z(12) @ Z(8)) + 0.125 * (Z(12) @ Z(10)) + -0.125 * (Z(5) @ Z(8) @ Z(10)) + -0.125 * (Z(5) @ Z(12) @ Z(8)) + -0.125 * (Z(5) @ Z(12) @ Z(10)) + -0.125 * (Z(12) @ Z(8) @ Z(10)) + 0.125 * (Z(5) @ Z(12) @ Z(8) @ Z(10)) + -0.0625 * Z(0) + -0.25 * Z(1) + 0.3125 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + 0.25 * Z(5) + 0.3125 * Z(6) + 0.3125 * Z(7) + 0.3125 * Z(8) + 0.125 * Z(9) + 0.125 * Z(10) + 0.25 * Z(11) + 0.25 * Z(12)
11
13
3
{"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 46, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1100100000001", "1100010000010", "1010000001001", "1010000000110", "1001100000100", "1001010001000", "1001000100100", "1001000011000", "1001000001100", "1001000001001", "1001000000110", "1000101000100", "1000100000101", "1000100001001", "1000100000110", "1000011001000", "1000010001010", "1000010001001", "1000010000110", "0110100000001", "0110010000010", "0110000001001", "0110000000110", "0110000000011", "0110000100001", "0110000010010", "0101100010000", "0101010100000", "0101000100001", "0101000010010", "0101000110000", "0101000100100", "0100111000000", "0101000011000", "0100100100001", "0100101010000", "0100101000100", "0100101000001", "0100100010010", "0100100010001", "0100011001000", "0100011000010", "0100011100000", "0100010100010", "0100010100001", "0100010010010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[13] c; qubit[13] q; ry(0.2563) q[0]; rz(0.0255) q[0]; ry(0.4629) q[1]; rz(-0.143) q[1]; ry(0.5898) q[2]; rz(-0.0996) q[2]; ry(-0.1003) q[3]; rz(-0.2749) q[3]; ry(0.2783) q[4]; rz(-0.0086) q[4]; ry(-0.0673) q[5]; rz(-0.3731) q[5]; ry(0.9817) q[6]; rz(0.4657) q[6]; ry(0.0434) q[7]; rz(-0.4043) q[7]; ry(0.1191) q[8]; rz(0.1007) q[8]; ry(0.0208) q[9]; rz(-0.001) q[9]; ry(-0.2022) q[10]; rz(0.0743) q[10]; ry(0.766) q[11]; rz(0.0058) q[11]; ry(0.1619) q[12]; rz(-0.0058) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(0.2853) q[1]; rz(-0.1565) q[1]; ry(-0.3698) q[2]; rz(-0.296) q[2]; cx q[2], q[1]; ry(1.0966) q[3]; rz(-0.0046) q[3]; ry(0.0425) q[4]; rz(0.0028) q[4]; cx q[4], q[3]; ry(0.1933) q[5]; rz(0.9541) q[5]; ry(0.7229) q[6]; rz(-0.1016) q[6]; cx q[6], q[5]; ry(0.119) q[7]; rz(-0.1978) q[7]; ry(-0.1053) q[8]; rz(0.4001) q[8]; cx q[8], q[7]; ry(0.9956) q[9]; rz(-0.0141) q[9]; ry(0.1926) q[10]; rz(-0.105) q[10]; cx q[10], q[9]; ry(0.16) q[11]; rz(0.1285) q[11]; cx q[12], q[11]; ry(0.4102) q[0]; rz(-0.0136) q[0]; ry(-0.0918) q[1]; rz(0.2989) q[1]; ry(0.871) q[2]; rz(0.0628) q[2]; ry(-0.5876) q[3]; rz(0.1851) q[3]; ry(1.1883) q[4]; rz(0.0007) q[4]; ry(0.564) q[5]; rz(0.6059) q[5]; ry(0.5069) q[6]; rz(-0.3435) q[6]; ry(-0.1727) q[7]; rz(0.0796) q[7]; ry(1.0845) q[8]; rz(-0.01) q[8]; ry(-0.0501) q[9]; rz(-0.0874) q[9]; ry(1.1936) q[10]; rz(-0.0064) q[10]; ry(1.0614) q[11]; rz(-0.2511) q[11]; ry(-0.0873) q[12]; rz(0.1644) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(0.4978) q[1]; rz(-0.0235) q[1]; ry(-0.3285) q[2]; rz(0.2199) q[2]; cx q[2], q[1]; ry(1.1815) q[3]; rz(-0.0127) q[3]; ry(1.1814) q[4]; rz(-0.0811) q[4]; cx q[4], q[3]; ry(0.0081) q[5]; rz(0.6088) q[5]; ry(0.0784) q[6]; rz(-0.6169) q[6]; cx q[6], q[5]; ry(0.3197) q[7]; rz(-0.4535) q[7]; ry(-0.1368) q[8]; rz(-0.7133) q[8]; cx q[8], q[7]; ry(1.0649) q[9]; rz(0.0749) q[9]; ry(-0.3952) q[10]; rz(-0.0759) q[10]; cx q[10], q[9]; ry(1.1243) q[11]; rz(0.3522) q[11]; cx q[12], q[11]; ry(-0.6228) q[0]; rz(0.3756) q[0]; ry(-0.6609) q[1]; rz(0.5729) q[1]; ry(0.2831) q[2]; rz(-0.1683) q[2]; ry(1.1655) q[3]; rz(0.191) q[3]; ry(0.7191) q[4]; rz(-0.0406) q[4]; ry(-0.0359) q[5]; rz(-0.4886) q[5]; ry(-0.0391) q[6]; rz(-0.5804) q[6]; ry(0.2284) q[7]; rz(0.3453) q[7]; ry(1.0228) q[8]; rz(0.0427) q[8]; ry(0.8776) q[9]; rz(0.0106) q[9]; ry(0.6138) q[10]; rz(0.0579) q[10]; ry(0.9125) q[11]; rz(0.6691) q[11]; ry(0.1627) q[12]; rz(0.0031) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(0.0527) q[1]; rz(0.0041) q[1]; ry(0.8919) q[2]; rz(0.0082) q[2]; cx q[2], q[1]; ry(0.5083) q[3]; rz(0.0084) q[3]; ry(0.6171) q[4]; rz(0.0062) q[4]; cx q[4], q[3]; ry(-0.0094) q[5]; rz(0.0014) q[5]; ry(1.2078) q[6]; rz(0.0071) q[6]; cx q[6], q[5]; ry(0.1266) q[7]; rz(0.009) q[7]; ry(0.8034) q[8]; rz(0.0006) q[8]; cx q[8], q[7]; ry(0.3779) q[9]; rz(0.0039) q[9]; ry(1.1154) q[10]; rz(0.0032) q[10]; cx q[10], q[9]; ry(-0.0589) q[11]; rz(0.0076) q[11]; cx q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[13] c; qubit[13] q; ry(x0) q[0]; rz(x1) q[0]; ry(x2) q[1]; rz(x3) q[1]; ry(x4) q[2]; rz(x5) q[2]; ry(x6) q[3]; rz(x7) q[3]; ry(x8) q[4]; rz(x9) q[4]; ry(x10) q[5]; rz(x11) q[5]; ry(x12) q[6]; rz(x13) q[6]; ry(x14) q[7]; rz(x15) q[7]; ry(x16) q[8]; rz(x17) q[8]; ry(x18) q[9]; rz(x19) q[9]; ry(x20) q[10]; rz(x21) q[10]; ry(x22) q[11]; rz(x23) q[11]; ry(x24) q[12]; rz(x25) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(x26) q[1]; rz(x27) q[1]; ry(x28) q[2]; rz(x29) q[2]; cx q[2], q[1]; ry(x30) q[3]; rz(x31) q[3]; ry(x32) q[4]; rz(x33) q[4]; cx q[4], q[3]; ry(x34) q[5]; rz(x35) q[5]; ry(x36) q[6]; rz(x37) q[6]; cx q[6], q[5]; ry(x38) q[7]; rz(x39) q[7]; ry(x40) q[8]; rz(x41) q[8]; cx q[8], q[7]; ry(x42) q[9]; rz(x43) q[9]; ry(x44) q[10]; rz(x45) q[10]; cx q[10], q[9]; ry(x46) q[11]; rz(x47) q[11]; cx q[12], q[11]; ry(x48) q[0]; rz(x49) q[0]; ry(x50) q[1]; rz(x51) q[1]; ry(x52) q[2]; rz(x53) q[2]; ry(x54) q[3]; rz(x55) q[3]; ry(x56) q[4]; rz(x57) q[4]; ry(x58) q[5]; rz(x59) q[5]; ry(x60) q[6]; rz(x61) q[6]; ry(x62) q[7]; rz(x63) q[7]; ry(x64) q[8]; rz(x65) q[8]; ry(x66) q[9]; rz(x67) q[9]; ry(x68) q[10]; rz(x69) q[10]; ry(x70) q[11]; rz(x71) q[11]; ry(x72) q[12]; rz(x73) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(x74) q[1]; rz(x75) q[1]; ry(x76) q[2]; rz(x77) q[2]; cx q[2], q[1]; ry(x78) q[3]; rz(x79) q[3]; ry(x80) q[4]; rz(x81) q[4]; cx q[4], q[3]; ry(x82) q[5]; rz(x83) q[5]; ry(x84) q[6]; rz(x85) q[6]; cx q[6], q[5]; ry(x86) q[7]; rz(x87) q[7]; ry(x88) q[8]; rz(x89) q[8]; cx q[8], q[7]; ry(x90) q[9]; rz(x91) q[9]; ry(x92) q[10]; rz(x93) q[10]; cx q[10], q[9]; ry(x94) q[11]; rz(x95) q[11]; cx q[12], q[11]; ry(x96) q[0]; rz(x97) q[0]; ry(x98) q[1]; rz(x99) q[1]; ry(x100) q[2]; rz(x101) q[2]; ry(x102) q[3]; rz(x103) q[3]; ry(x104) q[4]; rz(x105) q[4]; ry(x106) q[5]; rz(x107) q[5]; ry(x108) q[6]; rz(x109) q[6]; ry(x110) q[7]; rz(x111) q[7]; ry(x112) q[8]; rz(x113) q[8]; ry(x114) q[9]; rz(x115) q[9]; ry(x116) q[10]; rz(x117) q[10]; ry(x118) q[11]; rz(x119) q[11]; ry(x120) q[12]; rz(x121) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(x122) q[1]; rz(x123) q[1]; ry(x124) q[2]; rz(x125) q[2]; cx q[2], q[1]; ry(x126) q[3]; rz(x127) q[3]; ry(x128) q[4]; rz(x129) q[4]; cx q[4], q[3]; ry(x130) q[5]; rz(x131) q[5]; ry(x132) q[6]; rz(x133) q[6]; cx q[6], q[5]; ry(x134) q[7]; rz(x135) q[7]; ry(x136) q[8]; rz(x137) q[8]; cx q[8], q[7]; ry(x138) q[9]; rz(x139) q[9]; ry(x140) q[10]; rz(x141) q[10]; cx q[10], q[9]; ry(x142) q[11]; rz(x143) q[11]; cx q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
null
{"circuits": [], "gradients": []}