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quant-ph/0702188
Shahriar S. Afshar
Shahriar S. Afshar, Eduardo Flores, Keith F. McDonald, and Ernst Knoesel
Paradox in Wave-Particle Duality
18 pages, 1 figure
Found. Phys. 37, 295 (2007)
10.1007/s10701-006-9102-8
null
quant-ph
null
We report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type "welcher-weg" experiment beyond the limitations set by Bohr's Principle of Complementarity. Applying classical logic, we verify the presence of sharp interference in the single photon regime, while reliably maintaining the information about the particular pinhole through which each individual photon had passed. This experiment poses interesting questions on the validity of Complementarity in cases where measurements techniques that avoid Heisenberg's uncertainty principle and quantum entanglement are employed. We further argue that the application of classical concepts of waves and particles as embodied in Complementarity leads to a logical inconsistency in the interpretation of this experiment.
[ { "version": "v1", "created": "Mon, 19 Feb 2007 21:42:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Afshar", "Shahriar S.", "" ], [ "Flores", "Eduardo", "" ], [ "McDonald", "Keith F.", "" ], [ "Knoesel", "Ernst", "" ] ]
quant-ph/0702189
David Perez-Garcia
D. Perez-Garcia, M.M Wolf, C. Palazuelos, I. Villanueva, M. Junge
Unbounded violation of tripartite Bell inequalities
Substantial changes in the presentation to make the paper more accessible for a non-specialized reader
Comm. Math. Phys. 279, 455 (2008)
10.1007/s00220-008-0418-4
null
quant-ph math-ph math.MP
null
We prove that there are tripartite quantum states (constructed from random unitaries) that can lead to arbitrarily large violations of Bell inequalities for dichotomic observables. As a consequence these states can withstand an arbitrary amount of white noise before they admit a description within a local hidden variable model. This is in sharp contrast with the bipartite case, where all violations are bounded by Grothendieck's constant. We will discuss the possibility of determining the Hilbert space dimension from the obtained violation and comment on implications for communication complexity theory. Moreover, we show that the violation obtained from generalized GHZ states is always bounded so that, in contrast to many other contexts, GHZ states do in this case not lead to extremal quantum correlations. The results are based on tools from the theories of operator spaces and tensor norms which we exploit to prove the existence of bounded but not completely bounded trilinear forms from commutative C*-algebras.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 01:10:57 GMT" }, { "version": "v2", "created": "Thu, 8 Nov 2007 13:56:58 GMT" } ]
2008-03-17T00:00:00
[ [ "Perez-Garcia", "D.", "" ], [ "Wolf", "M. M", "" ], [ "Palazuelos", "C.", "" ], [ "Villanueva", "I.", "" ], [ "Junge", "M.", "" ] ]
quant-ph/0702190
Yu Tanaka
Yu Tanaka, Damian Markham, Mio Murao
Local encoding of classical information onto quantum states
10 pages, 4 figures. Version II. Missing references added, minor simplification of theorem and minor errors corrected. Published in a special issue of Journal of Modern Optics celebrating the 60th birthday of Peter Knight
J. Mod. Opt., 54, 2259 - 2273 (2007)
10.1080/09500340701403301
null
quant-ph
null
In this article we investigate the possibility of encoding classical information onto multipartite quantum states in the distant laboratory framework. We show that for all states generated by Clifford operation there always exist such an encoding, this includes all stabilizer states such as cluster states and all graph states. We also show encoding for classes of symmetric states (which cannot be generated by Clifford operations). We generalise our approach using group theoretic methods introducing the unifying notion of Pseudo Clifford operations. All states generated by Pseudo Clifford operations are locally encodable (unifying all our examples), and we give a general method for generating sets of many such locally encodable states.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 06:28:02 GMT" }, { "version": "v2", "created": "Tue, 17 Apr 2007 09:14:08 GMT" }, { "version": "v3", "created": "Fri, 5 Oct 2007 06:20:20 GMT" } ]
2017-08-23T00:00:00
[ [ "Tanaka", "Yu", "" ], [ "Markham", "Damian", "" ], [ "Murao", "Mio", "" ] ]
quant-ph/0702191
Omri Gat
Omri Gat
Quantum dynamics and breakdown of classical realism in nonlinear oscillators
RevTeX 4 pages, no figures
null
10.1088/1751-8113/40/39/F01
null
quant-ph nlin.SI physics.atom-ph
null
The dynamics of a quantum nonlinear oscillator is studied in terms of its quasi-flow, a dynamical mapping of the classical phase plane that represents the time-evolution of the quantum observables. Explicit expressions are derived for the deformation of the classical flow by the quantum nonlinearity in the semiclassical limit. The breakdown of the classical trajectories under the quantum nonlinear dynamics is quantified by the mismatch of the quasi-flow carried by different observables. It is shown that the failure of classical realism can give rise to a dynamical violation of Bell's inequalities.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 07:06:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Gat", "Omri", "" ] ]
quant-ph/0702192
Donald McCartor
Donald McCartor
Quantum Thought Experiments Can Define Nature
37 pages, no figures
Concepts of Physics, Vol. I no. 1 (2004) pp. 105-150
null
null
quant-ph
null
One would not think that thought experiments could matter to nature, for they are a humble human device. Yet quantum mechanics very naturally frames thought experiments (as distinct from precisely defining what exists). They exemplify the informing powers of radiation. Though based on wave functions that have time symmetry, these tableaux inevitably tell of irreversible behavior by nature. The paper sketches how John von Neumann's measurement theory fits into this and retells N. David Mermin's baseball story.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 14:50:39 GMT" } ]
2007-05-23T00:00:00
[ [ "McCartor", "Donald", "" ] ]
quant-ph/0702193
Igor B. Mekhov
Igor B. Mekhov, Christoph Maschler, Helmut Ritsch
Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
15 pages, 5 figures
Phys. Rev. A 76, 053618 (2007)
10.1103/PhysRevA.76.053618
null
quant-ph physics.atom-ph physics.optics
null
We study off-resonant collective light scattering from ultracold atoms trapped in an optical lattice. Scattering from different atomic quantum states creates different quantum states of the scattered light, which can be distinguished by measurements of the spatial intensity distribution, quadrature variances, photon statistics, or spectral measurements. In particular, angle-resolved intensity measurements reflect global statistics of atoms (total number of radiating atoms) as well as local statistical quantities (single-site statistics even without an optical access to a single site) and pair correlations between different sites. As a striking example we consider scattering from transversally illuminated atoms into an optical cavity mode. For the Mott insulator state, similar to classical diffraction, the number of photons scattered into a cavity is zero due to destructive interference, while for the superfluid state it is nonzero and proportional to the number of atoms. Moreover, we demonstrate that light scattering into a standing-wave cavity has a nontrivial angle dependence, including the appearance of narrow features at angles, where classical diffraction predicts zero. The measurement procedure corresponds to the quantum non-demolition (QND) measurement of various atomic variables by observing light.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 12:01:00 GMT" }, { "version": "v2", "created": "Sun, 28 Oct 2007 23:01:34 GMT" } ]
2007-11-22T00:00:00
[ [ "Mekhov", "Igor B.", "" ], [ "Maschler", "Christoph", "" ], [ "Ritsch", "Helmut", "" ] ]
quant-ph/0702194
Igor E. Mazets
I.E. Mazets and G. Kurizki
Multiatom cooperative emission following single-photon absorption: Dicke-state dynamics
Misprints in Eqs. (8, 24-26) are corrected
J. Phys. B: At. Mol. Opt. Phys. 40 (2007) F105-F112
null
null
quant-ph
null
We investigate conditions under which multiatom absorption of a single photon leads to cooperative decay. Our analysis reveals the symmetry properties of the multiatom Dicke states underlying the cooperative decay dynamics and their spatio-temporal manifestations, particularly, the forward-directed spontaneous emission investigated by Scully et al.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 14:21:36 GMT" }, { "version": "v2", "created": "Tue, 6 Mar 2007 13:08:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Mazets", "I. E.", "" ], [ "Kurizki", "G.", "" ] ]
quant-ph/0702195
Zeljko Zilic
Zeljko Zilic and Katarzyna Radecka
Scaling and better approximating quantum Fourier transform by higher radices
null
IEEE Transactions on Computers, Vol. 56, No. 2, pp. 202-207, February 2007
null
null
quant-ph
null
Quantum Fourier Transform (QFT) plays a principal role in the development of efficient quantum algorithms. Since the number of quantum bits that can currently built is limited, while many quantum technologies are inherently three- (or more) valued, we consider extending the reach of the realistic quantum systems by building a QFT over ternary quantum digits. Compared to traditional binary QFT, the q-valued transform improves approximation properties and increases the state space by a factor of (q/2)n. Further, we use non-binary QFT derivation to generalize and improve the approximation bounds for QFT.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 14:23:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Zilic", "Zeljko", "" ], [ "Radecka", "Katarzyna", "" ] ]
quant-ph/0702196
Ashley Montanaro
Ashley Montanaro
Quantum search of partially ordered sets
21 pages, 3 figures; v2 has minor corrections and improvements
Quantum Information & Computation, vol. 9, no. 7&8, pp. 0628-0647, 2009
null
null
quant-ph
null
We investigate the generalisation of quantum search of unstructured and totally ordered sets to search of partially ordered sets (posets). Two models for poset search are considered. In both models, we show that quantum algorithms can achieve at most a quadratic improvement in query complexity over classical algorithms, up to logarithmic factors; we also give quantum algorithms that almost achieve this optimal reduction in complexity. In one model, we give an improved quantum algorithm for searching forest-like posets; in the other, we give an optimal O(sqrt(m))-query quantum algorithm for searching posets derived from m*m arrays sorted by rows and columns. This leads to a quantum algorithm that finds the intersection of two sorted lists of n integers in O(sqrt(n)) time, which is optimal.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 17:43:39 GMT" }, { "version": "v2", "created": "Fri, 2 Mar 2007 14:01:22 GMT" } ]
2009-06-18T00:00:00
[ [ "Montanaro", "Ashley", "" ] ]
quant-ph/0702197
Ivo Knittel
Ivo Knittel
Particle Localization by Decoherence and Classical Lensing
submitted to Phys. Rev. A
null
null
null
quant-ph
null
A phenomenological model of the time evolution of a particle wavepacket is presented that is subject to scattering event with small momentum transfer. It is suited for three dimensions and allows for an additional potential. For a random value of a phase parameter, it is equivalent to the decoherence by scattering off plane wave field states. Imposing some condition on the same phase parameter, the model delivers definite outcomes in a local pointer base. Common sense notions about the quantum-classical transition are readily obtained: Decoherent free particle solutions are localized constant-width wavepackets, quantum barrier scattering results in random reflection and transmission. The scattering process assumed in the phenomenological model is realized by scattering of a particle pair interacting by a force-distance law with small momentum transfer. Particles are localized not by decoherence but by a classical lensing effect. Schmidt paths in the Schmidt representation of the multiparticle state are products of single-particle wavepackets. Therefore the model has a natural 'Many Worlds' interpretation, identifying each Schmidt path with a classical branch. Different runs of the phenomenological model map the state of the same particular particle within different branches.
[ { "version": "v1", "created": "Tue, 20 Feb 2007 20:36:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Knittel", "Ivo", "" ] ]
quant-ph/0702198
Kunihiro Kojima
Kunihiro Kojima and Akihisa Tomita
Influence of pure-dephasing by phonons on exciton-photon interfaces: Quantum microscopic theory
9pages, 5figures
Phys. Rev. B 73, 195312 (2006)
10.1103/PhysRevB.73.195312
null
quant-ph
null
We have developed a full quantum microscopic theory to analyze the time evolution of transversal and longitudinal components of an exciton-single photon system coupled to bulk acoustic phonons. These components are subjected to two decay processes. One is radiative relaxation and the other is pure-dephasing due to exciton-phonon interaction. The former results in a decay with an exponent linear to time, while the latter causes a faster initial decay than the radiative decay. We analyzed the dependence of the components on the duration of the input one-photon pulse, temperature, and radiative relaxation rates. Such a quantitative analysis is important for the developments of atom-photon interfaces which enable coherent transfer of quantum information between photons and atomic systems. We found that, for a GaAs spherical quantum dot in which the exciton interacts with bulk phonons, the maximal probability of the excited state can be increased up to 75 %. This probability can be considered as the efficiency for quantum information transfer from photon to exciton.
[ { "version": "v1", "created": "Wed, 21 Feb 2007 05:42:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Kojima", "Kunihiro", "" ], [ "Tomita", "Akihisa", "" ] ]
quant-ph/0702199
Itamar Pitowsky
Itamar Pitowsky
New Bell inequalities for the singlet state: Going beyond the Grothendieck bound
18 pages, two figures, some corrections and additional references, published version
Journal of Mathematical Physics 49, 012101 (2008)
10.1063/1.2826227
null
quant-ph
null
Contemporary versions of Bell's argument against local hidden variable (LHV) theories are based on the Clauser Horne Shimony and Holt (CHSH) inequality, and various attempts to generalize it. The amount of violation of these inequalities cannot exceed the bound set by the Grothendieck constants. However, if we go back to the original derivation by Bell, and use the perfect anti-correlation embodied in the singlet spin state, we can go beyond these bounds. In this paper we derive two-particle Bell inequalities for traceless two-outcome observables, whose violation in the singlet spin state go beyond the Grothendieck constants both for the two and three dimensional cases. Moreover, creating a higher dimensional analog of perfect correlations, and applying a recent result of Alon and his associates (Invent. Math. 163 499 (2006)) we prove that there are two-particle Bell inequalities for traceless two-outcome observables whose violation increases to infinity as the dimension and number of measurements grow. Technically these result are possible because perfect correlations (or anti-correlations) allow us to transport the indices of the inequality from the edges of a bipartite graph to those of the complete graph. Finally, it is shown how to apply these results to mixed Werner states, provided that the noise does not exceed 20%.
[ { "version": "v1", "created": "Wed, 21 Feb 2007 09:55:36 GMT" }, { "version": "v2", "created": "Mon, 9 Apr 2007 12:33:30 GMT" }, { "version": "v3", "created": "Tue, 5 Feb 2008 11:23:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Pitowsky", "Itamar", "" ] ]
quant-ph/0702200
Wojciech Wasilewski
Wojciech Wasilewski, Piotr Kolenderski and Robert Frankowski
Spectral density matrix of a single photon measured
null
Phys. Rev. Lett. 99, 123601 (2007)
10.1103/PhysRevLett.99.123601
null
quant-ph
null
We propose and demonstrate a method for measuring the spectral density matrix of a single photon pulse. The method is based on registering Hong-Ou-Mandel interference between photon to be measured and a pair of attenuated and suitably delayed laser pulses described by a known spectral amplitude. The density matrix is retrieved from a two-dimensional interferogram of coincidence counts. The method has been implemented for a type-I downconversion source, pumped by ultrashort laser pulses. The experimental results agree well with a theoretical model which takes into account the temporal as well as spatial effects in the source.
[ { "version": "v1", "created": "Wed, 21 Feb 2007 14:40:09 GMT" } ]
2009-04-16T00:00:00
[ [ "Wasilewski", "Wojciech", "" ], [ "Kolenderski", "Piotr", "" ], [ "Frankowski", "Robert", "" ] ]
quant-ph/0702201
Ashley Stephens
A. M. Stephens, A. G. Fowler, L. C. L. Hollenberg
Universal fault tolerant quantum computation on bilinear nearest neighbor arrays
9 pages, 17 figures, minor revisions
QIC 8, 330 (2008)
null
null
quant-ph
null
Assuming an array that consists of two parallel lines of qubits and that permits only nearest neighbor interactions, we construct physical and logical circuitry to enable universal fault tolerant quantum computation under the [[7,1,3]] quantum code. A rigorous lower bound to the fault tolerant threshold for this array is determined in a number of physical settings. Adversarial memory errors, two-qubit gate errors, and readout errors are included in our analysis. In the setting where the physical memory failure rate is equal to one-tenth of the physical gate error rate, the physical readout error rate is equal to the physical gate error rate, and the duration of physical readout is ten times the duration of a physical gate, we obtain a lower bound to the asymptotic threshold of 1.96x10^-6.
[ { "version": "v1", "created": "Wed, 21 Feb 2007 20:35:29 GMT" }, { "version": "v2", "created": "Fri, 9 May 2008 12:04:14 GMT" } ]
2008-05-09T00:00:00
[ [ "Stephens", "A. M.", "" ], [ "Fowler", "A. G.", "" ], [ "Hollenberg", "L. C. L.", "" ] ]
quant-ph/0702202
Hoi-Kwong Lo
Hoi-Kwong Lo and Norbert L\"utkenhaus
Quantum Cryptography: from Theory to Practice
Changed the wording to emphasize the importance of using a proper definition of security. 7 pages, prepared for a special issue of "Physics in Canada"
Physics in Canada, Vol 63, No 4, PP 191-196 (2007)
null
null
quant-ph
null
Quantum cryptography can, in principle, provide unconditional security guaranteed by the law of physics only. Here, we survey the theory and practice of the subject and highlight some recent developments.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 01:32:42 GMT" }, { "version": "v2", "created": "Fri, 23 Feb 2007 23:56:40 GMT" }, { "version": "v3", "created": "Tue, 13 Mar 2007 04:53:30 GMT" } ]
2016-03-17T00:00:00
[ [ "Lo", "Hoi-Kwong", "" ], [ "Lütkenhaus", "Norbert", "" ] ]
quant-ph/0702203
Samir Lipovaca
Samir Lipovaca
Purple bacteria and quantum Fourier transform
12 pages, 1 figure
null
null
null
quant-ph
null
The LH-II of purple bacteria Rhodospirillum (Rs.) molischianum and Rhodopseudomonas (Rps.) acidophila adopts a highly symmetrical ring shape, with a radius of about 7 nm. In the case of Rps. acidophila the ring has a ninefold symmetry axis, and in LH-II from Rs. molischianum the ring has an eightfold symmetry axis. These rings are found to exibit two bands of excitons. A simplified mathematical description of the exciton states is given in Hu, X. & Schulten, K. (1997) Physics Today 50, 28-34. Using this description, we will show, by suitable labeling of the lowest energy (Qy) excited states of individual BChls, that the resulting exciton states are the quantum Fourier transform of the BChls excited states. For Rs. molischianum ring exciton states will be modeled as the four qubit quantum Fourier transform and the explicit circuit will be derived. Exciton states for Rps. acidophila ring cannot be modeled with an integer number of qubits. Both quantum Fourier transforms are instances of the hidden subgroup problem and this opens up a possibility that both purple bacteria implement an efficient quantum circuit for light harvesting.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 04:14:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Lipovaca", "Samir", "" ] ]
quant-ph/0702204
Toshiki Ide
Toshiki Ide, Holger F. Hofmann
Accidental cloning of a single-photon qubit in two-channel continuous-variable quantum teleportation
9 pages, 4 figures, improved explanation of cloning fidelity
Phys. Rev. A 75, 062311 (2007)
10.1103/PhysRevA.75.062311
null
quant-ph
null
The information encoded in the polarization of a single photon can be transferred to a remote location by two-channel continuous-variable quantum teleportation. However, the finite entanglement used in the teleportation causes random changes in photon number. If more than one photon appears in the output, the continuous-variable teleportation accidentally produces clones of the original input photon. In this paper, we derive the polarization statistics of the $N$-photon output components and show that they can be decomposed into an optimal cloning term and completely unpolarized noise. We find that the accidental cloning of the input photon is nearly optimal at experimentally feasible squeezing levels, indicating that the loss of polarization information is partially compensated by the availability of clones.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 06:27:48 GMT" }, { "version": "v2", "created": "Thu, 5 Apr 2007 07:56:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Ide", "Toshiki", "" ], [ "Hofmann", "Holger F.", "" ] ]
quant-ph/0702205
Cem Yuce
C. Yuce
Non-Hermitian Hamiltonians with Real Spectra in Quantum Mechanics
This paper has been withdrawn by the author due to an error in Equ. (5)
null
null
null
quant-ph
null
A condition to have a real spectrum for a non-Hermitian Hamiltonian is given. As special cases, it is shown that the condition is reduced to Hermiticity and PT symmetric conditions.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 14:11:57 GMT" }, { "version": "v2", "created": "Sat, 31 Mar 2007 09:20:52 GMT" }, { "version": "v3", "created": "Wed, 25 Feb 2015 10:12:13 GMT" } ]
2015-02-26T00:00:00
[ [ "Yuce", "C.", "" ] ]
quant-ph/0702206
Carlos Saavedra Dr
A. Delgado, C. Saavedra, and J.C. Retamal
Quantum information transfer for qutrits
null
null
10.1016/j.physleta.2007.05.022
null
quant-ph
null
We propose a scheme for the transfer of quantum information among distant qutrits. We apply this scheme to the distribution of entanglement among distant nodes and to the generation of multipartite antisymmetric states. We also discuss applications to quantum secret sharing.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 18:48:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Delgado", "A.", "" ], [ "Saavedra", "C.", "" ], [ "Retamal", "J. C.", "" ] ]
quant-ph/0702207
Marco Merkli
M. Merkli, I.M. Sigal, G.P. Berman
Resonance Theory of Decoherence and Thermalization
null
null
10.1016/j.aop.2007.04.013
null
quant-ph math-ph math.MP
null
We present a rigorous analysis of the phenomenon of decoherence for general $N-$level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We apply our general results to the specific cases of the qubit and the quantum register. We compare our results with the explicitly solvable case of systems whose interaction with the environment does not allow for energy exchange (non-demolition, or energy conserving interactions). We suggest a new approach which applies to a wide variety of systems which are not explicitly solvable.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 18:52:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Merkli", "M.", "" ], [ "Sigal", "I. M.", "" ], [ "Berman", "G. P.", "" ] ]
quant-ph/0702208
Vitalij Garber Dr.
Vitalij Garber
A proposed superluminal S-field mediating quantum entanglement
null
null
null
null
quant-ph
null
We propose a bimetric space-time consisting of two vierbein bundles, in which a superluminal S-field mediates a causal exchange of quantum information associated with quantum entanglement. The resulting theory leaves the usual quantum field interactions, as well as the speed of light unchanged, but introduces quantum information effects related to the S-field vierbein bundle. We show that such S-field interactions with the Dirac field, affect its spin density, as we would expect for a field that would impart entanglement related information.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 19:44:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Garber", "Vitalij", "" ] ]
quant-ph/0702209
Earl T. Campbell Mr
Earl T. Campbell, Joseph Fitzsimons, Simon C. Benjamin, Pieter Kok
Efficient growth of complex graph states via imperfect path erasure
15 pages, 10 figures (which print to better quality than when viewed as an on screen pdf)
New J. Phys. volume 9 page 196 (2007)
10.1088/1367-2630/9/6/196
null
quant-ph
null
Given a suitably large and well connected (complex) graph state, any quantum algorithm can be implemented purely through local measurements on the individual qubits. Measurements can also be used to create the graph state: Path erasure techniques allow one to entangle multiple qubits by determining only global properties of the qubits. Here, this powerful approach is extended by demonstrating that even imperfect path erasure can produce the required graph states with high efficiency. By characterizing the degree of error in each path erasure attempt, one can subsume the resulting imperfect entanglement into an extended graph state formalism. The subsequent growth of the improper graph state can be guided, through a series of strategic decisions, in such a way as to bound the growth of the error and eventually yield a high-fidelity graph state. As an implementation of these techniques, we develop an analytic model for atom (or atom-like) qubits in mismatched cavities, under the double-heralding entanglement procedure of Barrett and Kok [Phys. Rev. A 71, 060310 (2005)]. Compared to straightforward postselection techniques our protocol offers a dramatic improvement in growing complex high-fidelity graph states.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 19:48:57 GMT" } ]
2009-06-09T00:00:00
[ [ "Campbell", "Earl T.", "" ], [ "Fitzsimons", "Joseph", "" ], [ "Benjamin", "Simon C.", "" ], [ "Kok", "Pieter", "" ] ]
quant-ph/0702210
Ernst Knoesel
Eduardo Flores and Ernst Knoesel
Why Kastner analysis does not apply to a modified Afshar experiment
one pdf-file, 15 pages, 5 figures
null
10.1117/12.730965
null
quant-ph
null
In an analysis of the Afshar experiment R.E. Kastner points out that the selection system used in this experiment randomly separates the photons that go to the detectors, and therefore no which-way information is obtained. In this paper we present a modified but equivalent version of the Afshar experiment that does not contain a selection device. The double-slit is replaced by two separate coherent laser beams that overlap under a small angle. At the intersection of the beams an interference pattern can be inferred in a non-perturbative manner, which confirms the existence of a superposition state. In the far field the beams separate without the use of a lens system. Momentum conservation warranties that which-way information is preserved. We also propose an alternative sequence of Stern-Gerlach devices that represents a close analogue to the Afshar experimental set up.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 20:38:33 GMT" } ]
2015-06-26T00:00:00
[ [ "Flores", "Eduardo", "" ], [ "Knoesel", "Ernst", "" ] ]
quant-ph/0702211
Otfried Guehne
Thomas Konrad, Otfried G\"uhne, J\"urgen Audretsch, Hans J. Briegel
Parameter estimation for mixed states from a single copy
9 pages, 3 figures, v2: small changes, to appear in PRA
Phys. Rev. A 75, 062101 (2007)
10.1103/PhysRevA.75.062101
null
quant-ph
null
Given a single copy of a mixed state of the form \rho=\lambda\rho_1+(1-\lambda)\rho_2, what is the optimal measurement to estimate the parameter \lambda, if \rho_1 and \rho_2 are known? We present a general strategy to obtain the optimal measurements employing a Bayesian estimator. The measurements are chosen to minimize the deviation between the estimated- and the true value of \lambda. We explicitly determine the optimal measurements for a general two-dimensional system and for important higher dimensional cases.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 19:28:02 GMT" }, { "version": "v2", "created": "Tue, 8 May 2007 19:39:46 GMT" } ]
2007-06-13T00:00:00
[ [ "Konrad", "Thomas", "" ], [ "Gühne", "Otfried", "" ], [ "Audretsch", "Jürgen", "" ], [ "Briegel", "Hans J.", "" ] ]
quant-ph/0702212
Daniel E. Browne
D.E. Browne, E. Kashefi, M. Mhalla and S. Perdrix
Generalized Flow and Determinism in Measurement-based Quantum Computation
16 pages, 10 figures
New J. Phys. 9 250 (2007)
10.1088/1367-2630/9/8/250
null
quant-ph
null
We extend the notion of quantum information flow defined by Danos and Kashefi for the one-way model and present a necessary and sufficient condition for the deterministic computation in this model. The generalized flow also applied in the extended model with measurements in the X-Y, X-Z and Y-Z planes. We apply both measurement calculus and the stabiliser formalism to derive our main theorem which for the first time gives a full characterization of the deterministic computation in the one-way model. We present several examples to show how our result improves over the traditional notion of flow, such as geometries (entanglement graph with input and output) with no flow but having generalized flow and we discuss how they lead to an optimal implementation of the unitaries. More importantly one can also obtain a better quantum computation depth with the generalized flow rather than with flow. We believe our characterization result is particularly essential for the study of the algorithms and complexity in the one-way model.
[ { "version": "v1", "created": "Thu, 22 Feb 2007 22:06:04 GMT" } ]
2007-09-12T00:00:00
[ [ "Browne", "D. E.", "" ], [ "Kashefi", "E.", "" ], [ "Mhalla", "M.", "" ], [ "Perdrix", "S.", "" ] ]
quant-ph/0702213
Abel Camacho Mr.
Luis F. Barragan-Gil and Abel Camacho
WKB formalism and a lower limit for the energy eigenstates of bound states for some potentials
Accepted in Modern Physics Letters A
null
10.1142/S0217732307022979
null
quant-ph
null
In the present work the conditions appearing in the WKB approximation formalism of quantum mechanics are analyzed. It is shown that, in general, a careful definition of an approximation method requires the introduction of two length parameters, one of them always considered in the text books on quantum mechanics, whereas the second one is usually neglected. Afterwards we define a particular family of potentials and prove, resorting to the aforementioned length parameters, that we may find an energy which is a lower bound to the ground energy of the system. The idea is applied to the case of a harmonic oscillator and also to a particle freely falling in a homogeneous gravitational field, and in both cases the consistency of our method is corroborated. This approach, together with the Rayleigh--Ritz formalism, allows us to define an energy interval in which the ground energy of any potential, belonging to our family, must lie.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 01:42:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Barragan-Gil", "Luis F.", "" ], [ "Camacho", "Abel", "" ] ]
quant-ph/0702214
Sei Suzuki
Sei Suzuki, Hidetoshi Nishimori, Masuo Suzuki
Quantum annealing of the random-field Ising model by transverse ferromagnetic interactions
6 pages, 9 figures
Phys. Rev. E 75, 051112 (2007)
10.1103/PhysRevE.75.051112
null
quant-ph cond-mat.dis-nn cond-mat.stat-mech
null
We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to quantum annealing of the random-field Ising model to accelerate convergence toward the target ground state. The conventional approach using only the transverse-field term is known to be plagued by slow convergence when the true ground state has strong ferromagnetic characteristics for the random-field Ising model. The transverse ferromagnetic interactions are shown to improve the performance significantly in such cases. This conclusion is drawn from the analyses of the energy eigenvalues of instantaneous stationary states as well as by the very fast algorithm of Bethe-type mean-field annealing adopted to quantum systems. The present study highlights the importance of a flexible choice of the type of quantum fluctuations to achieve the best possible performance in quantum annealing. The existence of such flexibility is an outstanding advantage of quantum annealing over simulated annealing.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 05:45:34 GMT" } ]
2007-06-13T00:00:00
[ [ "Suzuki", "Sei", "" ], [ "Nishimori", "Hidetoshi", "" ], [ "Suzuki", "Masuo", "" ] ]
quant-ph/0702215
Christoph Marquardt
Christoph Marquardt, Ulrik L. Andersen, Gerd Leuchs, Yuishi Takeno, Mitsuyoshi Yukawa, Hidehiro Yonezawa, Akira Furusawa
Experimental Demonstration of Macroscopic Quantum Coherence in Gaussian States
5 pages, 6 figures
Phys. Rev. A, 76 (3), 030101 (2007)
10.1103/PhysRevA.76.030101
null
quant-ph
null
We witness experimentally the presence of macroscopic coherence in Gaussian quantum states using a recently proposed criterion (E.G. Cavalcanti and M. Reid, Phys. Rev. Lett. 97, 170405 (2006)). The macroscopic coherence stems from interference between macroscopically distinct states in phase space and we prove experimentally that even the vacuum state contains these features with a distance in phase space of $0.51\pm0.02$ shot noise units (SNU). For squeezed states we found macroscopic superpositions with a distance of up to $0.83\pm0.02$ SNU. The proof of macroscopic quantum coherence was investigated with respect to squeezing and purity of the states.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 10:11:37 GMT" } ]
2008-09-30T00:00:00
[ [ "Marquardt", "Christoph", "" ], [ "Andersen", "Ulrik L.", "" ], [ "Leuchs", "Gerd", "" ], [ "Takeno", "Yuishi", "" ], [ "Yukawa", "Mitsuyoshi", "" ], [ "Yonezawa", "Hidehiro", "" ], [ "Furusawa", "Akira", "" ] ]
quant-ph/0702216
Robert Collins
R.J. Collins, R.H. Hadfield, V. Fernandez, S.W. Nam and G.S. Buller
Low Timing Jitter Detector for Gigahertz Quantum Key Distribution
11 pages, including 2 figures
Electronics Letters, 43 (3), pp 180-182 (2007)
null
null
quant-ph
null
A superconducting single-photon detector based on a niobium nitride nanowire is demonstrated in an optical-fibre-based quantum key distribution test bed operating at a clock rate of 3.3 GHz and a transmission wavelength of 850 nm. The low jitter of the detector leads to significant reduction in the estimated quantum bit error rate and a resultant improvement in the secrecy efficiency compared to previous estimates made by use of silicon single-photon avalanche detectors.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 11:52:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Collins", "R. J.", "" ], [ "Hadfield", "R. H.", "" ], [ "Fernandez", "V.", "" ], [ "Nam", "S. W.", "" ], [ "Buller", "G. S.", "" ] ]
quant-ph/0702217
Ignacio Garcia-Mata
Ignacio Garcia-Mata, Andre R. R. Carvalho, Florian Mintert, Andreas Buchleitner
Entanglement-screening by nonlinear resonances
4 pages, 3 figures. PRL, in press
Phys. Rev. Lett. 98, 120504 (2007)
10.1103/PhysRevLett.98.120504
null
quant-ph
null
We show that nonlinear resonances in a classically mixed phase space allow to define generic, strongly entangled multi-partite quantum states. The robustness of their multipartite entanglement increases with the particle number, i.e. in the semiclassical limit, for those classes of diffusive noise which assist the quantum-classical transition.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 12:53:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Garcia-Mata", "Ignacio", "" ], [ "Carvalho", "Andre R. R.", "" ], [ "Mintert", "Florian", "" ], [ "Buchleitner", "Andreas", "" ] ]
quant-ph/0702218
Vladislav Khalilov
V.R. Khalilov and F.Kh. Chibirova
Electron bound by a potential well in the presence of a constant uniform magnetic field
11 pages, 4 figures. Acknowledgements are rewritten
null
10.1088/1751-8113/40/24/013
null
quant-ph
null
We study the effect of a constant uniform magnetic field on an electrically charged massive particle (an electron) bound by a potential well, which is described by means of a single attractive $\lambda\delta({\bf r})$ potential. A transcendental equation that determines the electron energy spectrum is derived and solved. The electron wave function in the ground (bound) state is approximately constructed in a remarkable simple form. It is shown that there arises the probability current in the bound state in the presence of a uniform constant magnetic field. This (electric) current, being by the gauge invariant quantity, must be observable and involve (and exercise influence on) the electron scattering. The probability current density resembles a stack of "pancake" vortices'' whose circulating "currents'' around the magnetic field direction ($z$-axes) are mostly confined within the plane $z=0$. We also compute the tunnelling probability of electron from the bound to free state under a weak constant homogeneous electric field, which is parallel to the magnetic field. The model under consideration is briefly discussed in two spatial dimensions.
[ { "version": "v1", "created": "Fri, 23 Feb 2007 13:51:21 GMT" }, { "version": "v2", "created": "Sat, 17 Mar 2007 07:22:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Khalilov", "V. R.", "" ], [ "Chibirova", "F. Kh.", "" ] ]
quant-ph/0702219
Otfried Guehne
Geza Toth, Christian Knapp, Otfried G\"uhne, Hans J. Briegel
Optimal spin squeezing inequalities detect bound entanglement in spin models
5 pages, 2 figures, 1 table; small changes, published version
Phys. Rev. Lett. 99, 250405 (2007)
10.1103/PhysRevLett.99.250405
null
quant-ph cond-mat.other cond-mat.stat-mech
null
We determine the complete set of generalized spin squeezing inequalities. These are entanglement criteria that can be used for the experimental detection of entanglement in a system of spin-1/2 particles in which the spins cannot be individually addressed. They can also be used to show the presence of bound entanglement in the thermal states of several spin models.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 20:20:59 GMT" }, { "version": "v2", "created": "Sat, 17 Mar 2007 23:07:59 GMT" }, { "version": "v3", "created": "Thu, 5 Jul 2007 09:43:47 GMT" }, { "version": "v4", "created": "Fri, 12 Oct 2007 11:43:47 GMT" }, { "version": "v5", "created": "Fri, 18 Jan 2008 10:26:11 GMT" } ]
2011-11-09T00:00:00
[ [ "Toth", "Geza", "" ], [ "Knapp", "Christian", "" ], [ "Gühne", "Otfried", "" ], [ "Briegel", "Hans J.", "" ] ]
quant-ph/0702220
Anirban Pathak
Anirban Pathak
Generation of higher order nonclassical states via interaction of intense electromagnetic field with third order nonlinear medium
7 pages, no figure
International Journal of Modern Physics B, Vol. 20, (2006) p 1421-1427
10.1142/S0217979206034029
null
quant-ph
null
Interaction of intense laser beam with an inversion symmetric third order nonlinear medium is modeled as a quartic anharmonic oscillator. A first order operator solution of the model Hamiltonian is used to study the possibilities of generation of higher order nonclassical states. It is found that the higher order squeezed and higher order antibunched states can be produced by this interaction. It is also shown that the higher order nonclassical states may appear separately, i.e. a higher order antibunched state is not essentially higher order squeezed state and vice versa.
[ { "version": "v1", "created": "Sat, 24 Feb 2007 12:12:56 GMT" } ]
2022-06-10T00:00:00
[ [ "Pathak", "Anirban", "" ] ]
quant-ph/0702221
Arti Chamoli
Arti Chamoli and C. M. Bhandari
Success Rate and Entanglement Evolution in Search Algorithm
08 pages
null
null
null
quant-ph
null
Evolution of entanglement with the processing of quantum algorithms affects the outcome of the algorithm. Particularly, the performance of Grover's search algorithm gets worsened if the initial state of the algorithm is an entangled one. Biham et al [14] have shown that the success probability of search algorithm can be seen as an operational measure of entanglement. Following the same line of thought, analytical expressions for entanglement measure for three and five qubit system have been derived, which reveals that entanglement measure based on Grover's search algorithm is valid for any state with real coefficients for even number of qubits.
[ { "version": "v1", "created": "Sat, 24 Feb 2007 16:59:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Chamoli", "Arti", "" ], [ "Bhandari", "C. M.", "" ] ]
quant-ph/0702222
Arti Chamoli
Arti Chamoli and C. M. Bhandari
Evolution of Entanglement in Groverian Search Algorithm: n-qudit System
11 pages, 01 figure
null
null
null
quant-ph
null
Entanglement plays a crucial role in quantum processes particularly those pertaining to quantum information and computation. An analytical expression for an entanglement measure defined in terms of success rate of Grover's search algorithm has been obtained for qutrit systems with real coefficients and the calculated results agree well with the conventional entropy based measure. The entanglement measure is further generalised for qudit (d-level) systems with real coefficients.
[ { "version": "v1", "created": "Sat, 24 Feb 2007 17:19:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Chamoli", "Arti", "" ], [ "Bhandari", "C. M.", "" ] ]
quant-ph/0702223
Arti Chamoli
Arti Chamoli and C. M. Bhandari
Entanglement Teleportation by Qutrits
10 pages
null
null
null
quant-ph
null
Quantum entanglement, like othre resources, is now coonsidered to be a resource which can be produced, concentrated if required, transported and consumed. After its inception [1] in 1933, various schemes of quantum state teleportation have been proposed using different types of channels. Not restricting to qubit based systems, qutrit states and channels have also been of considerable interest. In the present paper we investigate the teleportation of an unknown single qutrit state as well as two qutrit state through a three qutrit quantum channel along with the required operations to recover the state. This is further generalized to the case of teleportation of n-qutrit system.
[ { "version": "v1", "created": "Sat, 24 Feb 2007 18:06:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Chamoli", "Arti", "" ], [ "Bhandari", "C. M.", "" ] ]
quant-ph/0702224
Angel S. Sanz
A. S. Sanz, S. Miret-Artes
A causal look into the quantum Talbot effect
12 pages, 6 figures
J. Chem. Phys. 126, 234106 (2007)
10.1063/1.2741555
null
quant-ph
null
A well-known phenomenon in both optics and quantum mechanics is the so-called Talbot effect. This near field interference effect arises when infinitely periodic diffracting structures or gratings are illuminated by highly coherent light or particle beams. Typical diffraction patterns known as quantum carpets are then observed. Here the authors provide an insightful picture of this nonlocal phenomenon as well as its classical limit in terms of Bohmian mechanics, also showing the causal reasons and conditions that explain its appearance. As an illustration, theoretical results obtained from diffraction of thermal He atoms by both N-slit arrays and weak corrugated surfaces are analyzed and discussed. Moreover, the authors also explain in terms of what they call the Talbot-Beeby effect how realistic interaction potentials induce shifts and distortions in the corresponding quantum carpets.
[ { "version": "v1", "created": "Sat, 24 Feb 2007 20:41:16 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2007 16:03:08 GMT" } ]
2007-06-19T00:00:00
[ [ "Sanz", "A. S.", "" ], [ "Miret-Artes", "S.", "" ] ]
quant-ph/0702225
Karol Horodecki
Ryszard Horodecki, Pawel Horodecki, Michal Horodecki, Karol Horodecki
Quantum entanglement
110 pages, 3 figures, ReVTex4, Improved (slightly extended) presentation, updated references, minor changes, submitted to Rev. Mod. Phys.
Rev.Mod.Phys.81:865-942,2009
10.1103/RevModPhys.81.865
null
quant-ph
null
All our former experience with application of quantum theory seems to say: {\it what is predicted by quantum formalism must occur in laboratory}. But the essence of quantum formalism - entanglement, recognized by Einstein, Podolsky, Rosen and Schr\"odinger - waited over 70 years to enter to laboratories as a new resource as real as energy. This holistic property of compound quantum systems, which involves nonclassical correlations between subsystems, is a potential for many quantum processes, including ``canonical'' ones: quantum cryptography, quantum teleportation and dense coding. However, it appeared that this new resource is very complex and difficult to detect. Being usually fragile to environment, it is robust against conceptual and mathematical tools, the task of which is to decipher its rich structure. This article reviews basic aspects of entanglement including its characterization, detection, distillation and quantifying. In particular, the authors discuss various manifestations of entanglement via Bell inequalities, entropic inequalities, entanglement witnesses, quantum cryptography and point out some interrelations. They also discuss a basic role of entanglement in quantum communication within distant labs paradigm and stress some peculiarities such as irreversibility of entanglement manipulations including its extremal form - bound entanglement phenomenon. A basic role of entanglement witnesses in detection of entanglement is emphasized.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 20:48:18 GMT" }, { "version": "v2", "created": "Fri, 20 Apr 2007 12:24:41 GMT" } ]
2011-03-02T00:00:00
[ [ "Horodecki", "Ryszard", "" ], [ "Horodecki", "Pawel", "" ], [ "Horodecki", "Michal", "" ], [ "Horodecki", "Karol", "" ] ]
quant-ph/0702226
Xi Wang
Xi Wang, Ali Shakouri, Bin Yu, Xuhui Sun, Meyya Meyyappan
Study of Phonon Modes in Germanium Nanowires
11 pages,15 figures
null
10.1063/1.2752134
null
quant-ph
null
The observation of pure phonon confinement effect in germanium nanowires is limited due to the illumination sensitivity of Raman spectra. In this paper we measured Raman spectra for different size germanium nanowires with different excitation laser powers and wavelengths. By eliminating the local heating effect, the phonon confinement effect for small size nanowires was clearly identified. We have also fitted the Raman feature changes to estimate the size distribution of nanowires for the first time.
[ { "version": "v1", "created": "Sun, 25 Feb 2007 02:27:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Xi", "" ], [ "Shakouri", "Ali", "" ], [ "Yu", "Bin", "" ], [ "Sun", "Xuhui", "" ], [ "Meyyappan", "Meyya", "" ] ]
quant-ph/0702227
Frederic Faure
M S Hansen, F Faure, B I Zhilinskii
Adiabatically coupled systems and fractional monodromy
null
J. Phys. A: Math. Theor. vol 40 p.13075-13089, 2007
10.1088/1751-8113/40/43/015
null
quant-ph
null
We present a 1-parameter family of systems with fractional monodromy and adiabatic separation of motion. We relate the presence of monodromy to a redistribution of states both in the quantum and semi-quantum spectrum. We show how the fractional monodromy arises from the non diagonal action of the dynamical symmetry of the system and manifests itself as a generic property of an important subclass of adiabatically coupled systems.
[ { "version": "v1", "created": "Sun, 25 Feb 2007 15:36:10 GMT" } ]
2015-06-26T00:00:00
[ [ "Hansen", "M S", "" ], [ "Faure", "F", "" ], [ "Zhilinskii", "B I", "" ] ]
quant-ph/0702228
Mark Friesen
Mark Friesen, Asoka Biswas, Xuedong Hu and Daniel Lidar
Efficient multiqubit entanglement via a spin-bus
Published version
Phys. Rev. Lett. v98, p230503 (2007)
10.1103/PhysRevLett.98.230503
null
quant-ph cond-mat.mes-hall
null
We propose an experimentally feasible architecture with controllable long-range couplings built up from local exchange interactions. The scheme consists of a spin-bus, with strong, always-on interactions, coupled dynamically to external qubits of the Loss and DiVincenzo type. Long-range correlations are enabled by a spectral gap occurring in a finite-size chain. The bus can also form a hub for multiqubit entangling operations. We show how multiqubit gates may be used to efficiently generate $W$-states (an important entanglement resource). The spin-bus therefore provides a route for scalable solid-state quantum computation, using currently available experimental resources.
[ { "version": "v1", "created": "Sun, 25 Feb 2007 21:15:41 GMT" }, { "version": "v2", "created": "Tue, 8 May 2007 14:02:44 GMT" }, { "version": "v3", "created": "Mon, 11 Jun 2007 16:46:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Friesen", "Mark", "" ], [ "Biswas", "Asoka", "" ], [ "Hu", "Xuedong", "" ], [ "Lidar", "Daniel", "" ] ]
quant-ph/0702229
Niel de Beaudrap
Niel de Beaudrap, Martin Pei
An extremal result for geometries in the one-way measurement model
9 pages, 2 figures: numerous minor revisions to presentation. Version to appear in QIC vol. 8 #5
null
null
null
quant-ph
null
We present an extremal result for the class of graphs G which (together with some specified sets of input and output vertices, I and O) have a certain "flow" property introduced by Danos and Kashefi for the one-way measurement model of quantum computation. The existence of a flow for a triple (G,I,O) allows a unitary embedding to be derived from any choice of measurement bases allowed in the one-way measurement model. We prove an upper bound on the number of edges that a graph G may have, in order for a triple (G,I,O) to have a flow for some $I, O \subseteq V(G)$, in terms of the number of vertices in G and O. This implies that finding a flow for a triple (G,I,O) when |I| = |O| = k (corresponding to unitary transformations in the measurement model) and |V(G)| = n can be performed in time O(k^2 n), improving the earlier known bound of O(km) given in [quant-ph/0611284], where m = |E(G)|.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 04:29:19 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 20:29:07 GMT" } ]
2008-01-16T00:00:00
[ [ "de Beaudrap", "Niel", "" ], [ "Pei", "Martin", "" ] ]
quant-ph/0702230
Guo-Ping Guo
Hui Zhang, Guo-Ping Guo, Tao Tu and Guang-Can Guo
Quantum Computation and Bell-state Measurement with Double-Dot Molecules
5 pages, 4 figures
Physical Review A 76, 012335 (2007)
10.1103/PhysRevA.76.012335
null
quant-ph
null
We propose a quantum computation architecture of double-dot molecules, where the qubit is encoded in the molecule two-electron spin states. By arranging the two dots inside each molecule perpendicular to the qubit scaling line, the interactions between neighboring qubits are largely simplified and the scaling to multi-qubit system becomes straightforward. As an Ising-model effective interaction can be expediently switched on and off between any two neighboring molecules by adjusting the potential offset between the two dots, universal two-qubit gates can be implemented without requiring time-dependent control of the tunnel coupling between the dots. A Bell-state measurement scheme for qubit encoded in double-dot singlet and triplet states is also proposed for quantum molecules arranged in this way.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 04:46:30 GMT" }, { "version": "v2", "created": "Sat, 18 Aug 2007 02:08:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Hui", "" ], [ "Guo", "Guo-Ping", "" ], [ "Tu", "Tao", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0702231
David Miller Dr
D. J. Miller
Pre- and post-selected ensembles and time-symmetry in quantum mechanics
RevTex4, 17 pages, no figs
null
10.1007/s10773-008-9876-x
null
quant-ph
null
An expression is proposed for the quantum mechanical state of a pre- and post-selected ensemble, which is an ensemble determined by the final as well as the initial state of the quantum systems involved. It is shown that the probabilities calculated from the proposed state agree with previous expressions, for cases where they both apply. The same probabilities are found when they are calculated in the forward- or reverse-time directions. This work was prompted by several problems raised by Shimony recently in relation to the state, and time symmetry, of pre- and post-selected ensembles.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 05:54:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Miller", "D. J.", "" ] ]
quant-ph/0702232
Benjamin Holder
Benjamin P. Holder and Linda E. Reichl
STIRAP-like transitions in a harmonically-modulated optical lattice
29 pages, 5 figures; Submitted to Phys. Rev. A, 2/26/07
null
10.1103/PhysRevA.76.013420
null
quant-ph
null
We introduce a method for the coherent acceleration of atoms trapped in an optical lattice, using the well-known model for stimulated Raman adiabatic passage (STIRAP). Specifically, we show that small harmonic modulations of the optical lattice amplitude, with frequencies tuned to the eigenvalue spacings of three "unperturbed" eigenstates, reveals a three-state STIRAP subsystem. We use this model to realize an experimentally achievable method for transferring trapped atoms from stationary to motional eigenstates.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 08:01:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Holder", "Benjamin P.", "" ], [ "Reichl", "Linda E.", "" ] ]
quant-ph/0702233
Fausto Rossi
Fausto Rossi
Quantum Fermi's Golden Rule
submitted to Physical Review Letters
null
null
null
quant-ph cond-mat.other
null
We shall revisit the conventional adiabatic or Markov approximation, showing its intrinsic failure in describing the proper quantum-mechanical evolution of a generic subsystem interacting with its environment. In particular, we shall show that -contrary to the semiclassical case- the Markov limit does not preserve the positive-definite character of the corresponding density matrix, thus leading to highly non-physical results. To overcome this problem, we shall propose an alternative adiabatic procedure which (i) in the semiclassical limit reduces to the standard Fermi's golden rule, and (ii) describes a genuine Limblad evolution, thus providing a reliable/robust treatment of energy-dissipation and dephasing processes.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 08:47:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Rossi", "Fausto", "" ] ]
quant-ph/0702234
J\"urgen K\"astel
J\"urgen K\"astel, Michael Fleischhauer, Susanne F. Yelin, Ronald L. Walsworth
Tunable negative refraction without absorption via electromagnetically induced chirality
4 pages, 5 figures (shortened version, submitted to PRL)
null
10.1103/PhysRevLett.99.073602
null
quant-ph
null
We show that negative refraction with minimal absorption can be obtained by means of quantum interference effects similar to electromagnetically induced transparency. Coupling a magnetic dipole transition coherently with an electric dipole transition leads to electromagnetically induced chirality, which can provide negative refraction without requiring negative permeability, and also suppresses absorption. This technique allows negative refraction in the optical regime at densities where the magnetic susceptibility is still small and with refraction/absorption ratios that are orders of magnitude larger than those achievable previously. Furthermore, the value of the refractive index can be fine-tuned via external laser fields, which is essential for practical realization of sub-diffraction-limit imaging.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 10:44:56 GMT" }, { "version": "v2", "created": "Mon, 5 Mar 2007 14:14:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Kästel", "Jürgen", "" ], [ "Fleischhauer", "Michael", "" ], [ "Yelin", "Susanne F.", "" ], [ "Walsworth", "Ronald L.", "" ] ]
quant-ph/0702235
Ramazan Sever
Sameer M. Ikhdair
An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems
15 pages
Int. J. Mod. Phys. C 18, 1571(2007)
10.1142/S0129183107011583
null
quant-ph
null
Utilizing an appropriate ansatz to the wave function, we reproduce the exact bound-state solutions of the radial Schrodinger equation to various exactly solvable sextic anharmonic oscillator and confining perturbed Coulomb models in $D$-dimensions. We show that the perturbed Coulomb problem with eigenvalue $E$ can be transformed to a sextic anharmonic oscillator problem with eigenvalue E. We also check the explicit relevance of these two related problems in higher-space dimensions. It is shown that exact solutions of these potentials exist when their coupling parameters with $k=D+2\ell $ appearing in the wave equation satisfy certain constraints.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 10:55:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ] ]
quant-ph/0702236
Peter Horvathy
P. A. Horvathy
The Maslov correction in the semiclassical Feynman integral
17 pages, 2 figures
Central Eur.J.Phys.9:1-12,2011
10.2478/s11534-010-0055-3
null
quant-ph hep-th math-ph math.MP
null
The Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point. This phenomenon is related to the second variation and to the geometry of paths, as conveniently explained in Feynman's path integral framework. The results can be extended to any system using the semiclassical approximation. The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 12:37:24 GMT" } ]
2014-11-18T00:00:00
[ [ "Horvathy", "P. A.", "" ] ]
quant-ph/0702237
Yuri I. Ozhigov
Yuri Ozhigov
Dynamical diffusion as the approximation of one quantum particle dynamics
16 pages, proof is given
null
null
null
quant-ph
null
The paper contains the proof that the diffusion ensemble of point wise particles with the intensity depending on the grain of spatial resolution serves as the satisfactory approximation of one quantum particle dynamics.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 13:59:53 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 09:07:17 GMT" } ]
2007-06-06T00:00:00
[ [ "Ozhigov", "Yuri", "" ] ]
quant-ph/0702238
Olexander Chumak
G.P. Berman, A.A. Chumak
The Effect of Partial Coherence on the Statistics of Single-Photon Pulses Propagating in the Atmosphere
14 pages, 3 figures
null
null
LAUR-06-6989
quant-ph
null
The photon density operator function is used to describe the propagation of single-photon pulses through a turbulent atmosphere. The effects of statistical properties of photon source and the effects of a random phase screen on the variance of photon counting are studied. A procedure for reducing the total noise is discussed. The physical mechanisms responsible for this reduction are explained.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 14:33:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Berman", "G. P.", "" ], [ "Chumak", "A. A.", "" ] ]
quant-ph/0702239
Alastair Kay
Alastair Kay
Deriving a Fault-Tolerant Threshold for a Global Control Scheme
21 pages, 15 figures, 3 tables v2: reference added
null
null
null
quant-ph
null
In this paper, adapted from the author's PhD thesis, we present otherwise unpublished results relating to global control schemes, culminating in the calculation of a fault-tolerant threshold for one such scheme. As with early fault-tolerant threshold results, the aim is to calculate a positive number, not to optimise it. We also discuss how the results might affect other related schemes, such as those based on cellular automata.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 16:00:18 GMT" }, { "version": "v2", "created": "Wed, 7 Mar 2007 08:38:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Kay", "Alastair", "" ] ]
quant-ph/0702240
Marko Znidaric
Marko Znidaric
Optimal two-qubit gate for generation of random bipartite entanglement
9 pages, 9 PS figures; published version
Phys. Rev. A 76, 012318 (2007)
10.1103/PhysRevA.76.012318
null
quant-ph
null
We numerically study protocols consisting of repeated applications of two qubit gates used for generating random pure states. A necessary number of steps needed in order to generate states displaying bipartite entanglement typical of random states is obtained. For generic two qubit entangling gate the decay rate of purity is found to scale as $\sim n$ and therefore of order $\sim n^2$ steps are necessary to reach random bipartite entanglement. We also numerically identify the optimal two qubit gate for which the convergence is the fastest. Perhaps surprisingly, applying the same good two qubit gate in addition to a random single qubit rotations at each step leads to a faster generation of entanglement than applying a random two qubit transformation at each step.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 16:11:00 GMT" }, { "version": "v2", "created": "Mon, 30 Apr 2007 13:39:05 GMT" }, { "version": "v3", "created": "Wed, 18 Jul 2007 06:57:13 GMT" } ]
2007-07-18T00:00:00
[ [ "Znidaric", "Marko", "" ] ]
quant-ph/0702241
Lawrence Ioannou
Lawrence M. Ioannou and Michele Mosca
Limitations of some simple adiabatic quantum algorithms
This work originally appeared in L. Ioannou's Master's thesis, submitted to the University of Waterloo, in 2002 (available at http://etheses.uwaterloo.ca/)
International Journal of Quantum Information, Vol. 6, No. 3 (June 2008)
null
null
quant-ph
null
Let $H(t)=(1-t/T)H_0 + (t/T)H_1$, $t\in [0,T]$, be the Hamiltonian governing an adiabatic quantum algorithm, where $H_0$ is diagonal in the Hadamard basis and $H_1$ is diagonal in the computational basis. We prove that $H_0$ and $H_1$ must each have at least two large mutually-orthogonal eigenspaces if the algorithm's running time is to be subexponential in the number of qubits. We also reproduce the optimality proof of Farhi and Gutmann's search algorithm in the context of this adiabatic scheme; because we only consider initial Hamiltonians that are diagonal in the Hadamard basis, our result is slightly stronger than the original.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 16:27:13 GMT" }, { "version": "v2", "created": "Mon, 2 Jun 2008 15:03:37 GMT" } ]
2008-06-02T00:00:00
[ [ "Ioannou", "Lawrence M.", "" ], [ "Mosca", "Michele", "" ] ]
quant-ph/0702242
Luca Marinatto
GianCarlo Ghirardi, Luca Marinatto and Francesco de Stefano
A critical analysis of Popper's experiment
12 pages, 3 figures, RevTex; to be published on PRA
Phys. Rev. A 75, 042107 (2007)
10.1103/PhysRevA.75.042107
null
quant-ph
null
An experiment which could decide against the Copenhagen interpretation of quantum mechanics has been proposed by K. Popper and, subsequently, it has been criticized by M.J. Collett and R. Loudon. Here we show that both the above mentioned arguments are not correct because they are based on a misuse of basic quantum rules.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 16:45:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghirardi", "GianCarlo", "" ], [ "Marinatto", "Luca", "" ], [ "de Stefano", "Francesco", "" ] ]
quant-ph/0702243
Karl-Peter Marzlin
Raisa I. Karasik, Karl-Peter Marzlin, Barry C. Sanders, and K. Birgitta Whaley
Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences
null
Phys. Rev. A 77(5), 052301 (2008)
10.1103/PhysRevA.77.052301
null
quant-ph
null
We present a detailed analysis of decoherence free subspaces and develop a rigorous theory that provides necessary and sufficient conditions for dynamically stable decoherence free subspaces. This allows us to identify a special class of decoherence free states which rely on incoherent generation of coherences. We provide examples of physical systems that support such states. Our approach employs Markovian master equations and applies primarily to finite-dimensional quantum systems.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 19:36:36 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 19:59:06 GMT" }, { "version": "v3", "created": "Wed, 14 Nov 2007 05:12:55 GMT" } ]
2008-12-12T00:00:00
[ [ "Karasik", "Raisa I.", "" ], [ "Marzlin", "Karl-Peter", "" ], [ "Sanders", "Barry C.", "" ], [ "Whaley", "K. Birgitta", "" ] ]
quant-ph/0702244
Karl-Peter Marzlin
Raisa I. Karasik, Karl-Peter Marzlin, Barry C. Sanders, and K. Birgitta Whaley
Multi-particle decoherence free subspaces in extended systems
12 pages, 2 figures
Phys. Rev. A 76, 012331 (2007)
10.1103/PhysRevA.76.012331
null
quant-ph
null
We develop a method to determine spatial configurations to realize decoherence-free subspaces for spatially extended multi-particle systems. We have assumed normal reservoir behavior including translational invariance of the reservoir and preparation in stationary states or mixture thereof and weak Markovian system-reservoir coupling that requires energy transfer. One important outcome of our method is a proof that there does not exist a multi-particle decoherence-free subspace in such systems except in the limit that the spatial extent of the system becomes infinitesimal.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 19:36:39 GMT" } ]
2007-07-30T00:00:00
[ [ "Karasik", "Raisa I.", "" ], [ "Marzlin", "Karl-Peter", "" ], [ "Sanders", "Barry C.", "" ], [ "Whaley", "K. Birgitta", "" ] ]
quant-ph/0702245
Anthony Chefles
Anthony Chefles, Akira Kitagawa, Masahiro Takeoka, Masahide Sasaki and Jason Twamley
Unambiguous discrimination among oracle operators
35 pages. Final version. To appear in J. Phys. A: Math. & Theor
null
10.1088/1751-8113/40/33/016
null
quant-ph
null
We address the problem of unambiguous discrimination among oracle operators. The general theory of unambiguous discrimination among unitary operators is extended with this application in mind. We prove that entanglement with an ancilla cannot assist any discrimination strategy for commuting unitary operators. We also obtain a simple, practical test for the unambiguous distinguishability of an arbitrary set of unitary operators on a given system. Using this result, we prove that the unambiguous distinguishability criterion is the same for both standard and minimal oracle operators. We then show that, except in certain trivial cases, unambiguous discrimination among all standard oracle operators corresponding to integer functions with fixed domain and range is impossible. However, we find that it is possible to unambiguously discriminate among the Grover oracle operators corresponding to an arbitrarily large unsorted database. The unambiguous distinguishability of standard oracle operators corresponding to totally indistinguishable functions, which possess a strong form of classical indistinguishability, is analysed. We prove that these operators are not unambiguously distinguishable for any finite set of totally indistinguishable functions on a Boolean domain and with arbitrary fixed range. Sets of such functions on a larger domain can have unambiguously distinguishable standard oracle operators and we provide a complete analysis of the simplest case, that of four functions. We also examine the possibility of unambiguous oracle operator discrimination with multiple parallel calls and investigate an intriguing unitary superoperator transformation between standard and entanglement-assisted minimal oracle operators.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 20:52:13 GMT" }, { "version": "v2", "created": "Wed, 21 Mar 2007 20:03:22 GMT" }, { "version": "v3", "created": "Thu, 22 Mar 2007 16:45:38 GMT" }, { "version": "v4", "created": "Fri, 15 Jun 2007 18:54:34 GMT" }, { "version": "v5", "created": "Sun, 8 Jul 2007 01:21:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Chefles", "Anthony", "" ], [ "Kitagawa", "Akira", "" ], [ "Takeoka", "Masahiro", "" ], [ "Sasaki", "Masahide", "" ], [ "Twamley", "Jason", "" ] ]
quant-ph/0702246
Carlos L\'opez C. E. L\'opez
F. Lastra, G. Romero, C. E. L\'opez, M. Fran\c{c}a Santos, and J.C. Retamal
Abrupt Changes in the Dynamics of Quantum Disentanglement
4 pages and 6 figures, submitted for publication
Phys. Rev. A 75, 062324 (2007)
10.1103/PhysRevA.75.062324
null
quant-ph
null
Entanglement evolution in high dimensional bipartite systems under dissipation is studied. Discontinuities for the time derivative of the lower bound of entanglement of formation is found depending on the initial conditions for entangled states. This abrupt changes along the evolution appears as precursors of entanglement sudden death.
[ { "version": "v1", "created": "Mon, 26 Feb 2007 23:03:46 GMT" } ]
2008-09-12T00:00:00
[ [ "Lastra", "F.", "" ], [ "Romero", "G.", "" ], [ "López", "C. E.", "" ], [ "Santos", "M. França", "" ], [ "Retamal", "J. C.", "" ] ]
quant-ph/0702247
Soojoon Lee
Soojoon Lee, Jaewoo Joo, and Jaewan Kim
Teleportation capability, distillability, and nonlocality on three-qubit states
5 pages, 2 figures; The old version has been generalized into the results on general 3-qubit states
Phys. Rev. A 76, 012311 (2007).
10.1103/PhysRevA.76.012311
null
quant-ph
null
In this paper, we consider teleportation capability, distillability, and nonlocality on three-qubit states. In order to investigate some relations among them, we first find the explicit formulas of the quantities about the maximal teleportation fidelity on three-qubit states. We show that if any three-qubit state is useful for three-qubit teleportation then the three-qubit state is distillable into a Greenberger-Horne-Zeilinger state, and that if any three-qubit state violates a specific form of Mermin inequality then the three-qubit state is useful for three-qubit teleportation.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 02:30:24 GMT" }, { "version": "v2", "created": "Fri, 20 Apr 2007 06:09:42 GMT" }, { "version": "v3", "created": "Tue, 5 Jun 2007 02:07:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Lee", "Soojoon", "" ], [ "Joo", "Jaewoo", "" ], [ "Kim", "Jaewan", "" ] ]
quant-ph/0702248
Russell Miller
A. D. Boozer, A. Boca, R. Miller, T. E. Northup, H. J. Kimble
Reversible state transfer between light and a single trapped atom
5 pages, 5 figures
null
10.1103/PhysRevLett.98.193601
null
quant-ph
null
We demonstrate the reversible mapping of a coherent state of light with mean photon number n-bar ~= 1.1 to and from the hyperfine states of an atom trapped within the mode of a high finesse optical cavity. The coherence of the basic processes is verified by mapping the atomic state back onto a field state in a way that depends on the phase of the original coherent state. Our experiment represents an important step towards the realization of cavity QED-based quantum networks, wherein coherent transfer of quantum states enables the distribution of quantum information across the network.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 02:47:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Boozer", "A. D.", "" ], [ "Boca", "A.", "" ], [ "Miller", "R.", "" ], [ "Northup", "T. E.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/0702249
Xiao Zheng
Xiao Zheng, Fan Wang, Chi Yung Yam, Yan Mo, and GuanHua Chen
Time-dependent density-functional theory for open systems
16 pages, 12 figures
null
10.1103/PhysRevB.75.195127
null
quant-ph
null
By introducing the self-energy density functionals for the dissipative interactions between the reduced system and its environment, we develop a time-dependent density-functional theory formalism based on an equation of motion for the Kohn-Sham reduced single-electron density matrix of the reduced system. Two approximate schemes are proposed for the self-energy density functionals, the complete second order approximation and the wide-band limit approximation. A numerical method based on the wide-band limit approximation is subsequently developed and implemented to simulate the steady and transient current through various realistic molecular devices. Simulation results are presented and discussed.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 09:37:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Zheng", "Xiao", "" ], [ "Wang", "Fan", "" ], [ "Yam", "Chi Yung", "" ], [ "Mo", "Yan", "" ], [ "Chen", "GuanHua", "" ] ]
quant-ph/0702250
Masahito Hayashi
Masahito Hayashi
Upper bounds of eavesdropper's performances in finite-length code with decoy method
null
Physical Review A, 76, 012329 (2007)
10.1103/PhysRevA.76.012329
null
quant-ph
null
Security formulas of quantum key distribution (QKD) with imperfect resources are obtained for finite-length code when the decoy method is applied. This analysis is useful for guaranteeing the security of implemented QKD systems. Our formulas take into account the effect of the vacuum state and dark counts in the detector. We compare the asymptotic key generation rate in presence of dark counts with that without.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 09:56:02 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 09:12:49 GMT" }, { "version": "v3", "created": "Fri, 9 Mar 2007 01:38:27 GMT" }, { "version": "v4", "created": "Wed, 2 May 2007 05:43:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Hayashi", "Masahito", "" ] ]
quant-ph/0702251
Masahito Hayashi
Masahito Hayashi
General theory for decoy-state quantum key distribution with arbitrary number of intensities
This manuscript has been revised extensively
New J. Phys. 9 284 (2007)
10.1088/1367-2630/9/8/284
null
quant-ph
null
We develop a general theory for quantum key distribution (QKD) in both the forward error correction and the reverse error correction cases when the QKD system is equipped with phase-randomized coherent light with arbitrary number of decoy intensities. For this purpose, generalizing Wang's expansion, we derive a convex expansion of the phase-randomized coherent state. We also numerically check that the asymptotic key generation rates are almost saturated when the number of decoy intensities is three.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 10:08:15 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 09:13:56 GMT" }, { "version": "v3", "created": "Wed, 2 May 2007 02:57:17 GMT" }, { "version": "v4", "created": "Fri, 1 Jun 2007 18:38:55 GMT" }, { "version": "v5", "created": "Mon, 13 Aug 2007 04:12:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Hayashi", "Masahito", "" ] ]
quant-ph/0702252
Satoshi Morita
Satoshi Morita and Hidetoshi Nishimori
Convergence of Quantum Annealing with Real-Time Schrodinger Dynamics
6 pages, minor corrections
J. Phys. Soc. Jpn. 76 (2007) 064002
10.1143/JPSJ.76.064002
null
quant-ph cond-mat.dis-nn
null
Convergence conditions for quantum annealing are derived for optimization problems represented by the Ising model of a general form. Quantum fluctuations are introduced as a transverse field and/or transverse ferromagnetic interactions, and the time evolution follows the real-time Schrodinger equation. It is shown that the system stays arbitrarily close to the instantaneous ground state, finally reaching the target optimal state, if the strength of quantum fluctuations decreases sufficiently slowly, in particular inversely proportionally to the power of time in the asymptotic region. This is the same condition as the other implementations of quantum annealing, quantum Monte Carlo and Green's function Monte Carlo simulations, in spite of the essential difference in the type of dynamics. The method of analysis is an application of the adiabatic theorem in conjunction with an estimate of a lower bound of the energy gap based on the recently proposed idea of Somma et. al. for the analysis of classical simulated annealing using a classical-quantum correspondence.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 11:16:09 GMT" }, { "version": "v2", "created": "Fri, 25 May 2007 04:54:23 GMT" } ]
2007-05-25T00:00:00
[ [ "Morita", "Satoshi", "" ], [ "Nishimori", "Hidetoshi", "" ] ]
quant-ph/0702253
Andrea Fubini
Fabrizio Baroni, Andrea Fubini, Valerio Tognetti, and Paola Verrucchi
Two-spin entanglement distribution near factorized states
14 pages, 6 figures. Final version
J. Phys. A: Math. Theor. 40 9845 (2007)
10.1088/1751-8113/40/32/010
null
quant-ph cond-mat.stat-mech
null
We study the two-spin entanglement distribution along the infinite $S=1/2$ chain described by the XY model in a transverse field; closed analytical expressions are derived for the one-tangle and the concurrences $C_r$, $r$ being the distance between the two possibly entangled spins, for values of the Hamiltonian parameters close to those corresponding to factorized ground states. The total amount of entanglement, the fraction of such entanglement which is stored in pairwise entanglement, and the way such fraction distributes along the chain is discussed, with attention focused on the dependence on the anisotropy of the exchange interaction. Near factorization a characteristic length-scale naturally emerges in the system, which is specifically related with entanglement properties and diverges at the critical point of the fully isotropic model. In general, we find that anisotropy rule a complex behavior of the entanglement properties, which results in the fact that more isotropic models, despite being characterized by a larger amount of total entanglement, present a smaller fraction of pairwise entanglement: the latter, in turn, is more evenly distributed along the chain, to the extent that, in the fully isotropic model at the critical field, the concurrences do not depend on $r$.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 12:06:26 GMT" }, { "version": "v2", "created": "Fri, 27 Apr 2007 07:51:05 GMT" }, { "version": "v3", "created": "Tue, 5 Jun 2007 11:38:02 GMT" }, { "version": "v4", "created": "Mon, 30 Jul 2007 10:04:27 GMT" } ]
2007-09-27T00:00:00
[ [ "Baroni", "Fabrizio", "" ], [ "Fubini", "Andrea", "" ], [ "Tognetti", "Valerio", "" ], [ "Verrucchi", "Paola", "" ] ]
quant-ph/0702254
Moshe Shuker
M. Shuker, O. Firstenberg, R. Pugatch, A. Ben-Kish, A. Ron, N. Davidson
Measurement of Dicke Narrowing in Electromagnetically Induced Transparency
Introduction revised
Phys. Rev. A 76, 023813 (2007).
10.1103/PhysRevA.76.023813
null
quant-ph
null
Dicke narrowing is a phenomena that dramatically reduces the Doppler width of spectral lines, due to frequent velocity-changing collisions. A similar phenomena occurs for electromagnetically induced transparency (EIT) resonances, and facilitates ultra-narrow spectral features in room-temperature vapor. We directly measure the Dicke-like narrowing by studying EIT line-shapes as a function of the angle between the pump and the probe beams. The measurements are in good agreement with an analytic theory with no fit parameters. The results show that Dicke narrowing can increase substantially the tolerance of hot-vapor EIT to angular deviations. We demonstrate the importance of this effect for applications such as imaging and spatial solitons using a single-shot imaging experiment, and discuss the implications on the feasibility of storing images in atomic vapor.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 12:27:04 GMT" }, { "version": "v2", "created": "Tue, 13 Mar 2007 14:27:56 GMT" } ]
2007-08-18T00:00:00
[ [ "Shuker", "M.", "" ], [ "Firstenberg", "O.", "" ], [ "Pugatch", "R.", "" ], [ "Ben-Kish", "A.", "" ], [ "Ron", "A.", "" ], [ "Davidson", "N.", "" ] ]
quant-ph/0702255
Kedar Ranade
Kedar S. Ranade, Mazhar Ali
The Jamio{\l}kowski isomorphism and a conceptionally simple proof for the correspondence between vectors having Schmidt number $k$ and $k$-positive maps
9 pages
Open Sys. Inf. Dyn. 14 (No. 4, Dec. 2007), 371 - 378
10.1007/s11080-007-9062-2
null
quant-ph
null
Positive maps which are not completely positive are used in quantum information theory as witnesses for convex sets of states, in particular as entanglement witnesses and more generally as witnesses for states having Schmidt number not greater than k. It is known that such witnesses are related to k-positive maps. In this article we propose a new proof for the correspondence between vectors having Schmidt number k and k-positive maps using Jamiolkowski's criterion for positivity of linear maps; to this aim, we also investigate the precise notion of the term "Jamiolkowski isomorphism". As consequences of our proof we get the Jamiolkowski criterion for complete positivity, and we find a special case of a result by Choi, namely that k-positivity implies complete positivity, if k is the dimension of the smaller one of the Hilbert spaces on which the operators act.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 14:01:19 GMT" } ]
2007-12-17T00:00:00
[ [ "Ranade", "Kedar S.", "" ], [ "Ali", "Mazhar", "" ] ]
quant-ph/0702256
Valery Nesvizhevsky
G. Pignol, K.V. Ptotasov, V.V. Nesvizhevsky
Spontaneous emission of graviton by a quantum bouncer
null
Class.Quant.Grav.24:2439-2441,2007
10.1088/0264-9381/24/9/N02
null
quant-ph
null
Spontaneous emission of graviton rates for the quantum bouncer states are evaluated.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 14:35:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Pignol", "G.", "" ], [ "Ptotasov", "K. V.", "" ], [ "Nesvizhevsky", "V. V.", "" ] ]
quant-ph/0702257
Michael Seevinck
Michael Seevinck
Classification and monogamy of three-qubit biseparable Bell correlations
Accepted final version for PRA. 6 pages
Physical Review A, vol. 76, 012106 (2007)
10.1103/PhysRevA.76.012106
null
quant-ph
null
We strengthen the set of Bell-type inequalities presented by Sun & Fei [Phys. Rev. A 74, 032335 (2006)] that give a classification for biseparable correlations and entanglement in tripartite quantum systems. We will furthermore consider the restriction to local orthogonal spin observables and show that this strengthens all previously known such tripartite inequalities. The quadratic inequalities we find indicate a type of monogamy of maximal biseparable three-particle quantum correlations, although the nonmaximal ones can be shared. This is contrasted to recently found monogamy inequalities for bipartite Bell correlations in tripartite systems.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 14:38:37 GMT" }, { "version": "v2", "created": "Tue, 29 May 2007 10:58:15 GMT" } ]
2007-07-11T00:00:00
[ [ "Seevinck", "Michael", "" ] ]
quant-ph/0702258
Helge Mueller-Ebhardt
Helge Mueller-Ebhardt, Henning Rehbein, Roman Schnabel, Karsten Danzmann and Yanbei Chen
Entanglement of macroscopic test masses and the Standard Quantum Limit in laser interferometry
null
Phys. Rev. Lett. 100, 013601 (2008)
10.1103/PhysRevLett.100.013601
null
quant-ph
null
We show that the generation of entanglement of two heavily macroscopic mirrors with masses of up to several kilograms are feasible with state of the art techniques of high-precision laser interferometry. The basis of such a demonstration would be a Michelson interferometer with suspended mirrors and simultaneous homodyne detections at both interferometer output ports. We present the connection between the generation of entanglement and the Standard Quantum Limit (SQL) for a free mass. The SQL is a well-known reference limit in operating interferometers for gravitational-wave detection and provides a measure of when macroscopic entanglement can be observed in the presence of realistic decoherence processes.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 17:35:51 GMT" }, { "version": "v2", "created": "Thu, 8 Mar 2007 12:12:59 GMT" }, { "version": "v3", "created": "Thu, 3 May 2007 11:44:55 GMT" }, { "version": "v4", "created": "Thu, 8 Nov 2007 16:53:53 GMT" } ]
2008-01-07T00:00:00
[ [ "Mueller-Ebhardt", "Helge", "" ], [ "Rehbein", "Henning", "" ], [ "Schnabel", "Roman", "" ], [ "Danzmann", "Karsten", "" ], [ "Chen", "Yanbei", "" ] ]
quant-ph/0702259
Scott Hendrickson
S.M. Hendrickson, T.B. Pittman, and J.D. Franson
Microcavities Using Holey Fibers
null
Journal of Lightwave Technology, 25(10), 3068-3071 (2007)
10.1109/JLT.2007.905223
null
quant-ph
null
Vacuum compatible microcavities consisting of microstructured holey fibers and separate end mirrors have been constructed and tested. These devices exhibit excellent transverse mode confinement and the ability to control the percentage of power guided outside of the fiber core. As a result, these devices may be a useful tool for enhancing the interaction between light and an atomic medium.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 17:03:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Hendrickson", "S. M.", "" ], [ "Pittman", "T. B.", "" ], [ "Franson", "J. D.", "" ] ]
quant-ph/0702260
Marco Moriconi
M. Moriconi
Nodes of Wavefunctions
5 pages
Am. J. Phys. 75, 284-285 (2007)
null
null
quant-ph
null
We give a simple argument to show that the $n$th wavefunction for the one-dimensional Schr\"odinger equation has $n-1$ nodes. We also show that if $n_1 < n_2$, then between two consecutive zeros of $\psi_{n_1}$, there is a zero of $\psi_{n_2}$.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 17:40:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Moriconi", "M.", "" ] ]
quant-ph/0702261
Luis Manuel Arevalo Aguilar
P. C. Garcia Quijas and L. M. Arevalo Aguilar
On the Bandgap quantum coupler and the harmonic oscillator interacting with a reservoir: Defining the relative phase gate
11 pages, submited, content changed
null
null
null
quant-ph
null
In order to be able to study dissipation, the interaction between a single system and their environment was introduced in quantum mechanics. Master and quantum Langeving equations was derived and, also, decoherence was studied using this approach. One of the most used model in this field is a single harmonic oscillator interacting with a reservoir. In this work we solve analytically this problem in the resonance case with the evolution operator method. We use this result to study the conditional dynamics of a finite system of coupling, a bandgap quantum coupler. We study the conditional dynamics of the coupler on the computational basis by choosing a proper interaction time. This conditional dynamics provides a distinct realization of a quantum phase gate, which we name the relative phase gate.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 20:04:10 GMT" }, { "version": "v2", "created": "Tue, 13 Nov 2007 05:03:35 GMT" } ]
2007-11-13T00:00:00
[ [ "Quijas", "P. C. Garcia", "" ], [ "Aguilar", "L. M. Arevalo", "" ] ]
quant-ph/0702262
Vadim Makarov
Vadim Makarov and Johannes Skaar
Faked states attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocols
9 pages, 2 tables, 5 figures; v3: rewritten for clarity, a few explanations and recent references added
Quant. Inf. Comp. 8, 0622 (2008)
null
null
quant-ph
null
In quantum cryptosystems, variations in detector efficiency can be exploited to stage a successful attack. This happens when the efficiencies of Bob's two detectors are different functions of a control parameter accessible to Eve (e.g., timing of the incoming pulses). It has previously been shown that the Bennett-Brassard 1984 (BB84) protocol is vulnerable to this attack. In this paper, we show that several other protocols and encodings may also be vulnerable. We consider a faked states attack in the case of a partial efficiency mismatch on the Scarani-Acin-Ribordy-Gisin 2004 (SARG04) protocol, and derive the quantum bit error rate as a function of detector efficiencies. Additionally, it is shown how faked states can in principle be constructed for quantum cryptosystems that use a phase-time encoding, the differential phase shift keying (DPSK) and the Ekert protocols.
[ { "version": "v1", "created": "Tue, 27 Feb 2007 22:56:21 GMT" }, { "version": "v2", "created": "Sun, 10 Jun 2007 18:47:53 GMT" }, { "version": "v3", "created": "Fri, 23 Nov 2007 15:15:09 GMT" } ]
2008-04-02T00:00:00
[ [ "Makarov", "Vadim", "" ], [ "Skaar", "Johannes", "" ] ]
quant-ph/0702263
Vladimir Dzhunushaliev
Vladimir Dzhunushaliev
Observables and unobservables in a non-associative quantum theory
4 pages
J.General.LieTheor.Appl.2:269-272,2008
null
null
quant-ph hep-ph math.RA
null
It is shown that the non-associative operators in a non-associative quantum theory are unobservables. The observable quantity may be presented only by the elements of some associative subalgebra. It is shown that the elements of the associative subalgebra are extended objects that can be similar to strings. It is assumed that the non-associative quantum field theory can be applied to the quantization of strongly interacting fields. The method for obtaining field equations in a non-associative case is given.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 00:59:37 GMT" } ]
2008-12-18T00:00:00
[ [ "Dzhunushaliev", "Vladimir", "" ] ]
quant-ph/0702264
Jaeweon Lee Dr.
Jae-Weon Lee, Jaewan Kim, Taeseung Choi
Entanglement of thermal scalar fields in a compact space space
title changed
null
null
null
quant-ph hep-th
null
Using the thermal Green's function approach we propose a general method to investigate entanglement of the vacuum state or thermal ground states in an arbitrary dimensional space-time. As an application we show quantum separability of the massive thermal scalar field vacuum in the 1+1 dimensional cylindrical space-time. Separability is demonstrated using the positive partial transpose criterion for effective two-mode Gaussian states of collective operators. In this case, for all mass and temperature values entanglement is absent between the collective operators.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 03:04:42 GMT" }, { "version": "v2", "created": "Sun, 18 Mar 2007 07:59:48 GMT" }, { "version": "v3", "created": "Tue, 3 Apr 2007 07:30:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Lee", "Jae-Weon", "" ], [ "Kim", "Jaewan", "" ], [ "Choi", "Taeseung", "" ] ]
quant-ph/0702265
Jiangbin Gong Prof.
Jiangbin Gong and Paul Brumer
Controlled Quantum State Transfer in a Spin Chain
6 pages, 3 figures, to appear in Physical Review A
Phys. Rev. A 75, 032331 (2007)
null
null
quant-ph nlin.CD
null
Control of the transfer of quantum information encoded in quantum wavepackets moving along a spin chain is demonstrated. Specifically, based on a relationship with control in a paradigm of quantum chaos, it is shown that wavepackets with slow dispersion can automatically emerge from a class of initial superposition states involving only a few spins, and that arbitrary unspecified travelling wavepackets can be nondestructively stopped and later relaunched with perfection. The results establish an interesting application of quantum chaos studies in quantum information science.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 03:11:28 GMT" } ]
2007-07-18T00:00:00
[ [ "Gong", "Jiangbin", "" ], [ "Brumer", "Paul", "" ] ]
quant-ph/0702266
Irina Novikova
Irina Novikova (1 and 2), Alexey V. Gorshkov (3), David F. Phillips (1), Anders S. Sorensen (4), Mikhail D. Lukin (3), and Ronald L. Walsworth (1 and 3), ((1) Harvard-Smithsonian Center for Astrophysics, Cambridge, MA, USA, (2) Department of Physics, College of William&Mary, Williamsburg, VA, USA, (3) Department of Physics, Harvard University, Cambridge, MA, USA, (4) QUANTOP, Danish National Research Foundation Centre of Quantum Optics, Niels Bohr Institute, Copenhagen, Denmark)
Optimal control of light pulse storage and retrieval
5 pages, 4 figures
Phys. Rev. Lett. 98, 243602 (2007)
10.1103/PhysRevLett.98.243602
null
quant-ph
null
We demonstrate experimentally a procedure to obtain the maximum efficiency for the storage and retrieval of light pulses in atomic media. The procedure uses time reversal to obtain optimal input signal pulse-shapes. Experimental results in warm Rb vapor are in good agreement with theoretical predictions and demonstrate a substantial improvement of efficiency. This optimization procedure is applicable to a wide range of systems.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 03:17:33 GMT" } ]
2011-11-09T00:00:00
[ [ "Novikova", "Irina", "", "1 and 2" ], [ "Gorshkov", "Alexey V.", "", "1\n and 3" ], [ "Phillips", "David F.", "", "1\n and 3" ], [ "Sorensen", "Anders S.", "", "1\n and 3" ], [ "Lukin", "Mikhail D.", "", "1\n and 3" ], [ "Walsworth", "Ronald L.", "", "1\n and 3" ] ]
quant-ph/0702267
Apollo Go
A. Go, A. Bay, et al. (for the Belle Collaboration)
Measurement of EPR-type flavour entanglement in Upsilon(4S)->B0 B0bar decays
8 pages, 2 figures, submitted to Phys. Rev. Lett
Phys.Rev.Lett.99:131802,2007
10.1103/PhysRevLett.99.131802
Belle Preprint 2006-40, KEK Preprint 2006-61
quant-ph hep-ex
null
The neutral B-meson pair produced at the Upsilon(4S) should exhibit a non-local correlation of the type discussed by Einstein, Podolski, and Rosen (EPR). We measure this correlation using the time-dependent flavour asymmetry of semileptonic B0 decays, which we compare with predictions from quantum mechanics and two local realistic models. The data are consistent with quantum mechanics, and inconsistent with the other models. Assuming that some B pairs disentangle to produce B0 and B0bar with definite flavour, we find a decoherent fraction of 0.029+-057, consistent with no decoherence.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 09:17:23 GMT" }, { "version": "v2", "created": "Wed, 3 Oct 2007 09:33:10 GMT" } ]
2019-08-14T00:00:00
[ [ "Go", "A.", "" ], [ "Bay", "A.", "" ] ]
quant-ph/0702268
Quan Haitao
H. T. Quan, Z. D. Wang, and C. P. Sun
Quantum Critical Dynamics of A Qubit Coupled to An Isotropic Lipkin-Meshkov-Glick Bath
8 pages, 4 figures
Phys. Rev. A 76, 012104 (2007)
10.1103/PhysRevA.76.012104
null
quant-ph
null
We explore a dynamic signature of quantum phase transition (QPT) in an isotropic Lipkin-Meshkov-Glick (LMG) model by studying the time evolution of a central qubit coupled to it. We evaluate exactly the time-dependent purity, which can be used to measure quantum coherence, of the central qubit. It is found that distinctly different behaviors of the purity as a function of the parameter reveal clearly the QPT point in the system. It is also clarified that the present model is equivalent to an anti Jaynes-Cummings model under certain conditions.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 12:02:47 GMT" } ]
2007-09-24T00:00:00
[ [ "Quan", "H. T.", "" ], [ "Wang", "Z. D.", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0702269
Irene D'Amico
Irene D'Amico, Brendon W. Lovett, and Timothy P. Spiller
Creating, distributing and freezing entanglement with spin chains
modification to the text, some references added
null
null
null
quant-ph
null
We show how branching spin chains can be used to both generate and distribute entanglement from their natural dynamics. Such entanglement provides a useful resource, for example for teleportation or distributed quantum processing. Once distributed, this resource can be isolated through mapping or swapping the entanglement into specific qubits at the ends of branches. Alternatively, as we demonstrate for distributed bipartite entanglement, applying simple single-qubit operations to the end spin of one or more branches can dynamically freeze the entanglement at the branch ends.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 12:25:47 GMT" }, { "version": "v2", "created": "Wed, 14 Mar 2007 19:23:55 GMT" } ]
2007-05-23T00:00:00
[ [ "D'Amico", "Irene", "" ], [ "Lovett", "Brendon W.", "" ], [ "Spiller", "Timothy P.", "" ] ]
quant-ph/0702270
Simone De Liberato
Simone De Liberato and Christopher J. Foot
Tunnelling dynamics of Bose-Einstein condensate in a four wells loop shaped system
4 pages, 5 figures
Phys. Rev. A 73, 035602 (2006)
null
null
quant-ph
null
We investigated the tunnelling dynamics of a zero-temperature Bose-Einstein condensate (BEC) in configuration of four potential wells arranged in a loop. We found three interesting dynamic regimes: (a) flows of matter with small amplitude, (b) steady flow and (c) forced flow of matter for large amplitudes. The regime of quantum self-confinement has been studied and a new variant of it has been found for this system.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 13:14:25 GMT" } ]
2007-05-23T00:00:00
[ [ "De Liberato", "Simone", "" ], [ "Foot", "Christopher J.", "" ] ]
quant-ph/0702271
Dan Solomon
Dan Solomon
Quantum states with less energy than the vacuum in Dirac Hole Theory
Major changes. Corrected typos and algebraic mistakes in soem equations. Added some additional material. Basic result unchanged
null
null
null
quant-ph
null
In Dirac's hole theory the vacuum state is generally believed to be the state of minimum energy. However it has recently been shown that this is not the case. In [1] it was shown that energy can be extracted from the hole theory vacuum state through the application of an electric field so that the final state has less energy than the vacuum state. In this paper we will confirm the results of [1] by calculating the change in the energy of the vacuum state due to its interaction with a specific electric field. It will be shown that the final state has less energy than the original vacuum state.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 18:26:00 GMT" }, { "version": "v2", "created": "Thu, 22 Mar 2007 16:52:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Solomon", "Dan", "" ] ]
quant-ph/0703001
Nergis Mavalvala
Keisuke Goda, Eugeniy E. Mikhailov, Osamu Miyakawa, Shailendhar Saraf, Stephen Vass, Alan Weinstein, and Nergis Mavalvala
Generation of a stable low-frequency squeezed vacuum field with periodically-poled KTiOPO$_4$ at 1064 nm
null
null
10.1364/OL.33.000092
null
quant-ph
null
We report on the generation of a stable continuous-wave low-frequency squeezed vacuum field with a squeezing level of $3.8\pm0.1$ dB at 1064 nm, the wavelength at which laser interferometers for gravitational wave (GW) detection operate, using periodically poled KTiOPO$_4$ (PPKTP) in a sub-threshold optical parametric oscillator. PPKTP has the advantages of higher nonlinearity, smaller intra-crystal and pump-induced seed absorption, user-specified parametric down-conversion temperature, wider temperature tuning range, and lower susceptibility to thermal lensing over alternative nonlinear materials such as MgO doped or periodically poled LiNbO$_3$, and is, therefore, an excellent material for generation of squeezed vacuum fields for application to laser interferometers for GW detection.
[ { "version": "v1", "created": "Wed, 28 Feb 2007 21:01:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Goda", "Keisuke", "" ], [ "Mikhailov", "Eugeniy E.", "" ], [ "Miyakawa", "Osamu", "" ], [ "Saraf", "Shailendhar", "" ], [ "Vass", "Stephen", "" ], [ "Weinstein", "Alan", "" ], [ "Mavalvala", "Nergis", "" ] ]
quant-ph/0703002
Kentaro Urasaki
Kentaro Urasaki
Macroscopic Reality in Quantum Mechanics; Origin and Dissipation
9 pages
null
null
null
quant-ph
null
We study the connection between dissipation and reality in macroscopic quantum systems. We present the following scenario; if we consider the dynamics of a `partial' wave function, the dissipation is represented as a nonlocal term and it causes destructive interference to suppress the quantum fluctuation. Using the variational method, we confirm that this dissipation term is a reasonable extension of the standard (Schr\"odinger) description for isolated systems, from which we also derive the classical action. Consequently, in macroscopic systems, the states whose time-integrated dissipation takes an extreme value come true. This description, which is consistent with our sense of reality, coexists with the usual linear-time-dependent description.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 03:11:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Urasaki", "Kentaro", "" ] ]
quant-ph/0703003
Gerard Milburn
A.K.Ringsmuth and G.J.Milburn
Entangling a nanomechanical resonator with a microwave field
submitted to J. Mod. Opt
null
10.1080/09500340701317899
null
quant-ph
null
We show how the coherent oscillations of a nanomechanical resonator can be entangled with a microwave cavity in the form of a superconducting coplanar resonator. Dissipation is included and realistic values for experimental parameters are estimated.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 01:28:14 GMT" } ]
2017-08-23T00:00:00
[ [ "Ringsmuth", "A. K.", "" ], [ "Milburn", "G. J.", "" ] ]
quant-ph/0703004
K. A. Kirkpatrick
K. A. Kirkpatrick
Reply to "The three-box paradox revisited" by Ravon and Vaidman
8pp
J. Phys. A 40 2883-2890 (2007)
10.1088/1751-8113/40/11/N01
null
quant-ph
null
I reply to Ravon and Vaidman's criticism (quant-ph/0606067) of my classical implementation (quant-ph/0207124) of a three-box system as a card game.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 01:33:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Kirkpatrick", "K. A.", "" ] ]
quant-ph/0703005
Hoshang Heydari
Hoshang Heydari
Toric varieties: Simple combinatorial and geometrical structure of multipartite quantum systems
14 pages
Mathematical Physics Research Developments, Edited by M. B. Levy, Nova publisher, (2009) pp. 589-604
null
null
quant-ph
null
We investigate the geometrical structure of multipartite states based on the construction of toric varieties. We show that the toric variety represents the space of general pure states and projective toric variety defines the space of separable set of multi-qubits states. We also discuss in details the construction of single-, two-, three-, and multi- qubits states. This construction gives a very simple and elegant visual representation of the geometrical structure of multipartite quantum systems.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 02:18:58 GMT" } ]
2009-12-21T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
quant-ph/0703006
Sahin Kaya Ozdemir Dr
Sahin Kaya Ozdemir, Junichi Shimamura, and Nobuyuki Imoto
A necessary and sufficient condition to play games in quantum mechanical settings
null
New Journal of Physics, 9 (2007) 43
10.1088/1367-2630/9/2/043
null
quant-ph math-ph math.MP physics.soc-ph
null
Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player-two strategy (2x2) dilemma containing classical games into quantum realm, dilemmas can be resolved in quantum pure strategies if entanglement is distributed between the players who use quantum operations. Moreover, players receive the highest sum of payoffs available in the game, which are otherwise impossible in classical pure strategies. Encouraged by the observation of rich dynamics of physical systems with many interacting parties and the power of entanglement in quantum versions of 2x2 games, it became generally accepted that quantum versions can be easily extended to N-player situations by simply allowing N-partite entangled states. In this article, however, we show that this is not generally true because the reproducibility of classical tasks in quantum domain imposes limitations on the type of entanglement and quantum operators. We propose a benchmark for the evaluation of quantum and classical versions of games, and derive the necessary and sufficient conditions for a physical realization. We give examples of entangled states that can and cannot be used, and the characteristics of quantum operators used as strategies.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 09:09:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Ozdemir", "Sahin Kaya", "" ], [ "Shimamura", "Junichi", "" ], [ "Imoto", "Nobuyuki", "" ] ]
quant-ph/0703007
Martin Plenio
Martin B Plenio
Remarks on Duality Transformations and Generalized Stabilizer States
Contribution to Special Issue in Journal of Modern Optics celebrating the 60th birthday of Peter Knight
J. Mod. Opt. 54, 349 (2007)
10.1080/09500340701275774
null
quant-ph
null
We consider the transformation of Hamilton operators under various sets of quantum operations acting simultaneously on all adjacent pairs of particles. We find mappings between Hamilton operators analogous to duality transformations as well as exact characterizations of ground states employing non-Hermitean eigenvalue equations and use this to motivate a generalization of the stabilizer formalism to non-Hermitean operators. The resulting class of states is larger than that of standard stabilizer states and allows for example for continuous variation of local entropies rather than the discrete values taken on stabilizer states and the exact description of certain ground states of Hamilton operators.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 14:08:28 GMT" } ]
2015-06-26T00:00:00
[ [ "Plenio", "Martin B", "" ] ]
quant-ph/0703008
Ramazan Sever
Sameer M. Ikhdair and Ramazan Sever
Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
16 pages
Int. J. Mod. Phys. C 19, 221(2008)
10.1142/S0129183108012030
null
quant-ph
null
We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for a recently proposed modified Kratzer potential plus ring-shaped potential by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the wave functions in terms of orthogonal polynomials. The results obtained in this work are more general and true for any dimension which can be reduced to the standard forms in three-dimensions given by other works.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 14:16:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0703009
Tobias Kramer
Christian Bracher, Manfred Kleber, Tobias Kramer
New Mathematical Tools for Quantum Technology
28 pages
null
null
null
quant-ph
null
Progress in manufacturing technology has allowed us to probe the behavior of devices on a smaller and faster scale than ever before. With increasing miniaturization, quantum effects come to dominate the transport properties of these devices, between collisions, carriers undergo ballistic motion under the influence of local electric and magnetic fields. The often surprising propertiesof quantum ballistic transport are currently elucidated in clean atomic physics experiments. From a theoretical viewpoint, theelectron dynamics is governed by ballistic propagators and Green functions, intriguing quantities at the crossroads of classical and quantum mechanics. Here, we briefly describe the propagator method, some ballistic Green functions, and their application in a diverse range of problems in atomic and solid state physics, such as photodetachment, atom lasers, scanning tunneling microscopy, and the quantum Hall effect.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 15:04:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Bracher", "Christian", "" ], [ "Kleber", "Manfred", "" ], [ "Kramer", "Tobias", "" ] ]
quant-ph/0703010
Alexei Pyrkov
S.I.Doronin, E.B.Fel'dman, A.N.Pyrkov
Entanglement in alternating open spin-1/2 chains with XY-Hamiltonian
8 pages, 6 figures
JETP Letters, Vol. 85, pp. 519 (2007).
10.1134/S1063776107110088
null
quant-ph cond-mat.other
null
We investigate entanglement of spin pairs in alternating open spin chains in the equilibrium state in an external magnetic field. We calculate the reduced density matrix of spin pairs and estimate the concurrence with Wootter's criteria. The obtained results demonstrate the dependence of the entanglement on the temperature, chain's length, the positions of the spins, and the ratio of the spin-spin interaction constants.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 15:17:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Doronin", "S. I.", "" ], [ "Fel'dman", "E. B.", "" ], [ "Pyrkov", "A. N.", "" ] ]
quant-ph/0703011
Daniel Bedingham
D. J. Bedingham
Stochastic particle annihilation: a model of state reduction in relativistic quantum field theory
18 pages, 3 figures, replacement with revised section III
null
null
null
quant-ph
null
A model of state reduction in relativistic quantum field theory involving a nonlinear stochastic extension of Schr\"odinger's equation is outlined. The eigenstates of the annihilation operator are chosen as the preferred basis onto which reduction occurs. These are the coherent states which saturate the bound of the Heisenberg uncertainty relation, exhibiting classical-like behavior. The quantum harmonic oscillator is studied in detail before generalizing to relativistic scalar quantum field theory. The infinite rates of increase in energy density which have plagued recent relativistic proposals of dynamical state reduction are absent in this model. This is because the state evolution equation does not drive particle creation from the vacuum. The model requires the specification of a preferred sequence of space-like hyper-surfaces supporting the time-like state evolution. However, it is shown that the choice of preferred surfaces has no effect on perturbative results to second order in the coupling parameter. It is demonstrated how state reduction to a charge density basis can be induced in fermionic matter via an appropriate coupling to a bosonic field undergoing this mechanism.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 17:22:23 GMT" }, { "version": "v2", "created": "Thu, 14 Jun 2007 14:42:57 GMT" } ]
2007-06-14T00:00:00
[ [ "Bedingham", "D. J.", "" ] ]
quant-ph/0703012
Horace P. Yuen
Koichi Yamazaki, Ranjith Nair, and Horace P. Yuen
Problems of the CASCADE Protocol and Renyi Entropy Reduction in Classical and Quantum Key Generation
QCMC 2006 Proceedings Article
null
null
null
quant-ph
null
It is shown that the interactive error correction protocol `CASCADE' should be analyzed taking the correlation between passes and finite length of sequence into account. Furthermore we mention some problems in quantifying the reduction of Renyi entropy by information announced during the error correction process.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 21:02:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Yamazaki", "Koichi", "" ], [ "Nair", "Ranjith", "" ], [ "Yuen", "Horace P.", "" ] ]
quant-ph/0703013
A. D. Alhaidari
A. D. Alhaidari
Relativistic extension of the complex scaling method
21 pages, 4 figures (3 in color), 6 tables
Phys.Rev.A75:042707,2007
10.1103/PhysRevA.75.042707
null
quant-ph nucl-th physics.chem-ph
null
We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the complex scaling method. Besides the Coulomb interaction, additional vector, scalar, and pseudo-scalar coupling to short-range potentials could also be included in the same representation. Using that, we are able to obtain highly accurate values for the relativistic bound states and resonance energies. A simple program code is developed to perform the calculation for a given charge, angular momentum and potential configuration. The resonance structure in the complex relativistic energy plane is also shown graphically. Illustrative examples are given and we verify that in the nonrelativistic limit one obtains known results. As an additional advantage of this tridiagonal representation, we use it to obtain a highly accurate evaluation of the relativistic bound states energies for the Woods-Saxon potential (as a model of nuclear interaction) with the nucleus treated as solid sphere of uniform charge distribution.
[ { "version": "v1", "created": "Thu, 1 Mar 2007 22:46:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Alhaidari", "A. D.", "" ] ]
quant-ph/0703014
Antonio D'Arrigo
Antonio D'Arrigo, Giuliano Benenti, Giuseppe Falci
Quantum Capacity of a dephasing channel with memory
Revised version, to be published in New Journal of Physics
New J. Phys. 9, 310 (2007)
10.1088/1367-2630/9/9/310
null
quant-ph cond-mat.mes-hall
null
We show that the amount of coherent quantum information that can be reliably transmitted down a dephasing channel with memory is maximized by separable input states. In particular, we model the channel as a Markov chain or a multimode environment of oscillators. While in the first model the maximization is achieved for the maximally mixed input state, in the latter it is convenient to exploit the presence of a decoherence-protected subspace generated by memory effects. We explicitly compute the quantum channel capacity for the first model while numerical simulations suggest a lower bound for the latter. In both cases memory effects enhance the coherent information. We present results valid for arbitrary size of the input.
[ { "version": "v1", "created": "Fri, 2 Mar 2007 17:37:00 GMT" }, { "version": "v2", "created": "Fri, 1 Jun 2007 09:48:41 GMT" }, { "version": "v3", "created": "Fri, 3 Aug 2007 08:48:39 GMT" } ]
2007-09-09T00:00:00
[ [ "D'Arrigo", "Antonio", "" ], [ "Benenti", "Giuliano", "" ], [ "Falci", "Giuseppe", "" ] ]
quant-ph/0703015
Robert Spalek
Andrew M. Childs (Caltech), Ben W. Reichardt (Caltech), Robert Spalek (UC Berkeley), Shengyu Zhang (Caltech)
Every NAND formula of size N can be evaluated in time N^{1/2+o(1)} on a quantum computer
14 pages, 3 figures, v2: substantially rewritten with clearer analysis, v3: using better discretization we have obtained an optimal algorithm. to appear in FOCS'07
null
null
null
quant-ph
null
For every NAND formula of size N, there is a bounded-error N^{1/2+o(1)}-time quantum algorithm, based on a coined quantum walk, that evaluates this formula on a black-box input. Balanced, or ``approximately balanced,'' NAND formulas can be evaluated in O(sqrt{N}) queries, which is optimal. It follows that the (2-o(1))-th power of the quantum query complexity is a lower bound on the formula size, almost solving in the positive an open problem posed by Laplante, Lee and Szegedy.
[ { "version": "v1", "created": "Fri, 2 Mar 2007 20:35:50 GMT" }, { "version": "v2", "created": "Thu, 26 Apr 2007 03:08:34 GMT" }, { "version": "v3", "created": "Fri, 6 Jul 2007 22:47:19 GMT" } ]
2011-11-09T00:00:00
[ [ "Childs", "Andrew M.", "", "Caltech" ], [ "Reichardt", "Ben W.", "", "Caltech" ], [ "Spalek", "Robert", "", "UC Berkeley" ], [ "Zhang", "Shengyu", "", "Caltech" ] ]
quant-ph/0703016
Ahmed Bouda
A.Bouda and A. Mohamed Meziane
Band theory in the context of the Hamilton-Jacobi formulation
10 pages, no figures
Int.J.Theor.Phys.45:2377,2006
10.1007/s10773-006-9206-0
null
quant-ph hep-th
null
In the one-dimensional periodic potential case, we formulate the condition of Bloch periodicity for the reduced action by using the relation between the wave function and the reduced action established in the context of the equivalence postulate of quantum mechanics. Then, without appealing to the wave function properties, we reproduce the well-known dispersion relations which predict the band structure for the energy spectrum in the Kr\"onig-Penney model.
[ { "version": "v1", "created": "Fri, 2 Mar 2007 11:00:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Bouda", "A.", "" ], [ "Meziane", "A. Mohamed", "" ] ]