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0704.1309.txt |@word gates:1 akℓ:4 measurements:2 itk:1 chain:7 δkk:2 nr:6 hm:5 uℓ:6 gf:4 spaces:5 mℓ:15 tµ:1 λk:12 2jn:1 fidelity:1 d2:3 λn:2 bº:5 d1:3 compact:3 partially:1 jº:1 fit:2 ln:7 hℓ:3 γq:4 switched:2 topological:1 γt:1 environment:1 cc:30 iek:1 tk:9 th:1 ti:1 input:1 θu:3 deformation:1 pj:16 maximal:1 pℓ:6 2γn:1 kπ:3 g2:1 yn:9 4g2:1 iγ:1 dc:11 number:1 lyapunov:2 3pi:1 p1:16 ǫ2k:5 2γt:4 gℓ:7 d2c:1 incoherent:1 2t:7 xnk:5 cº:1 δnn:1 2q:1 success:3 φk:10 limℓ:1 arxiv:1 t2:15 alice:2 wait:1 t1:53 δn:10 ǫk:16 ψ1k:1 eiϕ:8 δk:1 2b:3 cℓ:5 output:1 2n:8 4ns:1 2j:9 mean:1 em:6 supx:1 zn:10 ek:7 xℓ:6 sℓ:33 eg:2 j0:1 t3:1 relative:2 threshold:1 rate:1 dº:1 b1:1 b2:1 gn:10 quantum:4 log2:7 mj:7 igt:1 exists:2 spectral:1 capacity:1 fn1:1 function:5 na:6 ak1:5 qº:2 classical:1 2g:8 αe:1 gt:3 αf:4 rm:3 reading:1 chains:2 βfn:4 8j:2 τn:2 κn:1 numerical:2 8n:1 uk:18 jt:2 fixpoint:1 weak:1 transfer:5 mab:3 nth:1 jn:3 2m:1 along:2 e2:1 xº:1 cos:12 interaction:1 xk:3 sender:1 σm:3 iϑ:6 region:2 transition:1 o:18 βe:1 length:6 βg:2 receiver:1 variance:1 qubit:1 fnk:1 processor:1 first:1 hº:7 v1:4 magnetic:1 xn:20 cn:2 probability:8 apr:1 2nb:1 h0:1 h1:4 ηk:15 bound:1 iht:11 uncontrolled:1 limk:4 xy:1 limn:6 δk0:1 2ns:1 tq:18 ψ0k:1 ψj:22 pq:8 pv:1 log:6 coherent:2 m1:4 πk:5 u1:17 system:1 u2:9 nø:7 strict:1 hef:1 1b:1 1e:5 memory:1 ψb:1 pk:5 ph:1 pi:3 pn:2 dℓ:1 pm:7 hz:3 ergodic:3 controlled:1 writing:1 sl:4 eiφ1:4 ith:1 m2:2 hv:3 tℓ:43 gap:1 failure:4 controller:1 hi:12 cm:14 yℓ:5 kº:2 hb:3 hc:9 x0:5 ha:4 spin:2 k¹:2 c2:3 coupling:3 p2:6 ρc:9 ψa:1 ma:3 50k:1 joint:3 mb:2 mm:1 ml:1 ρk:1 averaged:1 mk:1 limiting:1 um:3 nº:7 ikπ:6 ρu:7 amplitude:1 contraction:1 c1:3 f0:5 f1:10 f2:3 mink:1 lρ:1 ai:3 metric:1 vk:11 κl:2 yk:2 ank:4 vp:1 ih:3 single:1 ar:15 3ns:1 tφ:1 corresponding:1 20k:2 σn:7 νk:3 absolute:1 sequentially:1 again:1 nj:4 nk:8 nn:1 dim:1 lim:24 s1:5 ekn:5 s6:4 jℓ:16 mµ:3 field:1 quant:1 generalized:1 pure:1 hs:15 optimal:1 mixing:2 ns:9 δni:1 ψnk:7 fq:3 fr:4 fw:2 max:3 time:11 asymptotic:1 a1:1 hausdorff:1 v2:2 a2:1 peak:2 n1:3 aℓ:7 data:2 bob:2 fn:52 kb:3 lower:1 eof:1 ψk:18 eod:1 lº:1 ckn:1 kn:36 km:1 ccm:8 sj:4 gk:5 sn:2 exp:29 s2:3 position:2 n2:3 zℓ:1 eiϑ:2 nb:5 1a:1 |
0704.1310.txt |@word sergei:5 gt:6 gr:2 illustrates:2 untwist:1 osu:1 splitting:10 disc:4 generalize:1 grateful:1 edu:3 go:1 3a2:1 gl:24 finish:1 consider:8 certainly:2 depend:1 graph:32 segments:2 finally:2 gpv:2 th:2 marks:2 include:4 alternating:1 choice:1 every:1 strand:1 did:1 t1:3 discrete:1 small:3 neighborhood:1 nullity:1 htm:1 sign:6 zero:1 ribbon:28 what:1 bda:1 appear:1 section:4 celebrated:1 version:1 above:8 2yz:1 consisting:1 satisfy:1 simultaneously:1 respectively:1 modify:1 equals:1 here:4 desired:1 objects:1 represented:2 along:1 obtained:8 colored:1 funded:1 enfant:1 suggestion:1 kauffman:14 formulated:1 useful:1 extra:1 apr:1 namely:1 explained:1 natural:1 use:2 working:1 remains:1 positive:3 tutte:10 negative:2 next:3 few:1 call:2 therefore:1 associated:7 type:1 diagrams:3 more:1 department:2 mansfield:2 virtue:1 dessins:1 particular:1 springer:1 recall:2 work:1 thomassen:1 mt:2 values:1 splittings:13 following:5 example:12 stimulating:1 proof:2 mohar:1 links:16 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0704.1311.txt |@word represent:3 consider:3 ali:1 global:2 focus:6 four:5 mild:2 edu:2 expressions:2 research:1 gr:5 bassett:1 violate:4 tx:1 ts:3 finally:1 th:78 under:1 rabcd:2 string:5 very:3 choice:1 condition:1 cheung:1 did:1 supports:1 notes:1 scalar:2 large:1 vector:1 science:2 becker:2 jhep:4 ten:1 braneworld:2 consistent:1 trodden:1 dimensional:9 rate:1 chen:1 further:2 dynamics:1 ekpyrotic:5 wands:3 gibbons:2 developed:1 section:2 3p:2 cai:1 current:1 above:1 ρu:5 acknowledgments:1 filled:1 satisfy:4 crunch:1 focuses:1 ibid:10 respectively:4 understanding:1 address:2 ley:1 along:14 strong:1 equations:4 appears:1 mcfadden:4 obtained:4 incoming:1 dividing:1 kanno:1 study:4 studied:2 subcase:3 buchbinder:1 action:1 spacetime:48 divide:3 apr:1 explained:1 decrease:3 langlois:2 ishibashi:1 unit:1 d70:2 andreas:2 takes:4 usa:1 next:1 eleven:1 nucl:6 approach:3 therefore:1 usp:1 type:1 until:2 introducing:1 tsujikawa:2 substances:1 becomes:4 curvature:1 particular:1 cases:2 iii:18 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