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quant-ph/0612063
Julia Kempe
Julia Kempe and Thomas Vidick
On the Power of Entangled Quantum Provers
17 pages
null
null
null
quant-ph
null
We show that the value of a general two-prover quantum game cannot be computed by a semi-definite program ofvpolynomial size (unless P=NP), a method that has been successful in more restricted quantum games. More precisely, we show that proof of membership in the NP-complete problem GAP-3D-Matching can be obtained by a 2-prover, 1-round quantum interactive proof system where the provers share entanglement, with perfect completeness and soundness s=1-2^(-O(n)), and such that the space of the verifier and the size of the messages are O(log n). This implies that QMIP^*_{log n,1,1-2^(-O(n))} \nsubseteq P unless P = NP and provides the first non-trivial lower bound on the power of entangled quantum provers, albeit with an exponentially small gap. The gap achievable by our proof system might in fact be larger, provided a certain conjecture on almost commuting versus nearly commuting projector matrices is true.
[ { "version": "v1", "created": "Fri, 8 Dec 2006 17:06:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Kempe", "Julia", "" ], [ "Vidick", "Thomas", "" ] ]
quant-ph/0612064
Roland Hildebrand
Roland Hildebrand
Concurrence of Lorentz-positive maps
13 pages, 25 small figures
null
null
null
quant-ph
null
Let L_n be the n-dimensional Lorentz cone. A linear map M from R^m to R^n is called Lorentz-positive if M[L_m] is contained in L_n. We extend the notion of concurrence, which was initially introduced to quantify the entanglement of bipartite density matrices, to Lorentz-positive maps and provide an explicite formula for it. This allows us to obtain formulae for the concurrence of arbitrary positive operators taking 2 x 2 complex hermitian matrices as input and consequently of arbitrary bipartite density matrices of rank 2. Namely, let P: H(2) \to H(d) be a positive operator, and let \lambda_1,...,\lambda_4 be the generalized eigenvalues of the pencil \sigma_2(P(X)) - \lambda det X, in decreasing order, where \sigma_2 is the second symmetric function of the spectrum. Then the concurrence is given by the expression C(P;X) = 2\sqrt{\sigma_2(P(X)) - \lambda_2 det X}. As an application, we compute the concurrences of the density matrices of all graphs with 2 edges. Similar results apply for a function which we call I-fidelity, with the second largest generalized eigenvalue \lambda_2 replaced by the smallest eigenvalue \lambda_4.
[ { "version": "v1", "created": "Fri, 8 Dec 2006 15:48:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Hildebrand", "Roland", "" ] ]
quant-ph/0612065
Robert B. Griffiths
Robert B. Griffiths
Quantum mechanics without measurements
Latex 22 pages, 3 figures in text using PSTricks
null
null
null
quant-ph
null
Many of the conceptual problems students have in understanding quantum mechanics arise from the way probabilities are introduced in standard (textbook) quantum theory through the use of measurements. Introducing consistent microscopic probabilities in quantum theory requires setting up appropriate sample spaces taking proper account of quantum incompatibility. When this is done the Schrodinger equation can be used to calculate probabilities independent of whether a system is or is not being measured, and the results usually ascribed to wave function collapse are obtained in a less misleading way through conditional probabilities. Toy models that include measurement apparatus as part of the total quantum system make this approach accessible to students. Some comments are made about teaching this material.
[ { "version": "v1", "created": "Fri, 8 Dec 2006 19:13:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Griffiths", "Robert B.", "" ] ]
quant-ph/0612066
Fei Gao
Song Lin, Fei Gao, Fen-Zhuo Guo, Qiao-Yan Wen, Fu-Chen Zhu
Improving the security of multiparty quantum secret sharing based on entanglement swapping against participant attack
6 pages, 3 figures
null
null
null
quant-ph
null
In a recent paper [Z. J. Zhang and Z. X. Man, Phys. Rev. A 72, 022303(2005)], a multiparty quantum secret sharing protocol based on entanglement swapping was presented. However, as we show, this protocol is insecure in the sense that an unauthorized agent group can recover the secret from the dealer. Hence, we propose an improved version of this protocol which can stand against this kind of attack.
[ { "version": "v1", "created": "Sat, 9 Dec 2006 13:49:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Lin", "Song", "" ], [ "Gao", "Fei", "" ], [ "Guo", "Fen-Zhuo", "" ], [ "Wen", "Qiao-Yan", "" ], [ "Zhu", "Fu-Chen", "" ] ]
quant-ph/0612067
Alexandre Dodonov V
A. V. Dodonov, S. S. Mizrahi, and V. V. Dodonov
Continuous photodetection model: quantum jump engineering and hints for experimental verification
12 pages, 7 figures. Contribution to the conference Quantum Optics III, Pucon - Chile, November 27-30, 2006
Journal of Physics: Conference Series 84, 012005 (2007)
10.1088/1742-6596/84/1/012005
null
quant-ph
null
We examine some aspects of the continuous photodetection model for photocounting processes in cavities. First, we work out a microscopic model that describes the field-detector interaction and deduce a general expression for the Quantum Jump Superoperator (QJS), that shapes the detector's post-action on the field upon a detection. We show that in particular cases our model recovers the QJSs previously proposed ad hoc in the literature and point out that by adjusting the detector parameters one can engineer QJSs. Then we set up schemes for experimental verification of the model. By taking into account the ubiquitous non-idealities, we show that by measuring the lower photocounts moments and the mean waiting time one can check which QJS better describes the photocounting phenomenon.
[ { "version": "v1", "created": "Sat, 9 Dec 2006 23:09:26 GMT" }, { "version": "v2", "created": "Fri, 2 Feb 2007 03:42:37 GMT" } ]
2009-06-17T00:00:00
[ [ "Dodonov", "A. V.", "" ], [ "Mizrahi", "S. S.", "" ], [ "Dodonov", "V. V.", "" ] ]
quant-ph/0612068
An Min Wang
An Min Wang
Quantum mechanics in general quantum systems (IV): Green operator and path integral
6 pages, no figure. This is the fourth preprint in our serial studies. The previous three preprints are, respectively, quant-ph/0611216, quant-ph/0611217 and quant-ph/0601051
null
null
null
quant-ph cond-mat.other
null
We first rewrite the perturbation expansion of the time evolution operator [An Min Wang, quant-ph/0611216] in a form as concise as possible. Then we derive out the perturbation expansion of the time-dependent complete Green operator and prove that it is just the Fourier transformation of the Dyson equation. Moreover, we obtain the perturbation expansion of the complete transition amplitude in the Feynman path integral formulism, and give an integral expression that relates the complete transition amplitude with the unperturbed transition amplitude. Further applications of these results can be expected and will be investigated in the near future.
[ { "version": "v1", "created": "Sun, 10 Dec 2006 12:53:30 GMT" }, { "version": "v2", "created": "Mon, 11 Dec 2006 23:49:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "An Min", "" ] ]
quant-ph/0612069
Wang Zhi Yong
Zhi-Yong Wang, Cai-Dong Xiong, Bing He
Alternative perspective on photonic tunneling
24 pages, Revised version based on PRA75,013813(2007)
Physical Review A 75, 013813 (2007)
10.1103/PhysRevA.75.013813
null
quant-ph
null
A relativistic quantum-mechanical description of guided waves is given, based on which we present an alternative way to describe and interpret the propagation of electromagnetic wave packets through an undersized waveguide. In particular, we show that the superluminal phenomenon of evanescent modes is actually a known conclusion in quantum field theory, and it preserves a quantum-mechanical causality.
[ { "version": "v1", "created": "Sun, 10 Dec 2006 14:14:29 GMT" }, { "version": "v2", "created": "Tue, 9 Jan 2007 09:55:02 GMT" }, { "version": "v3", "created": "Thu, 11 Jan 2007 03:44:49 GMT" }, { "version": "v4", "created": "Sun, 28 Jan 2007 13:55:51 GMT" }, { "version": "v5", "created": "Thu, 1 Mar 2007 12:16:55 GMT" }, { "version": "v6", "created": "Mon, 23 Apr 2007 12:34:37 GMT" }, { "version": "v7", "created": "Sat, 9 Jun 2007 11:14:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Zhi-Yong", "" ], [ "Xiong", "Cai-Dong", "" ], [ "He", "Bing", "" ] ]
quant-ph/0612070
Jeffrey H. Shapiro
Baris I. Erkmen and Jeffrey H. Shapiro
Ghost Imaging: What is quantum, what is not
4 pages, 2 figures
null
null
null
quant-ph
null
We provide a unified treatment of classical and quantum Gaussian-state sources that unambiguously identifies which features of ghost imaging are strictly quantum mechanical. We show that ghost-image formation is fundamentally classical, with the image being expressible in terms of the phase-insensitive and phase-sensitive cross correlations between the detected fields. We then consider ghost-imaging scenarios with either phase-insensitive or phase-sensitive sources, where the former are always classical but the latter may be classical or quantum mechanical. We show that if their auto-correlations are identical, then a quantum source provides resolution improvement in its near-field and field-of-view improvement in its far field when compared to a classical source.
[ { "version": "v1", "created": "Sun, 10 Dec 2006 14:55:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Erkmen", "Baris I.", "" ], [ "Shapiro", "Jeffrey H.", "" ] ]
quant-ph/0612071
Guang Ping He
Guang Ping He
Comment on "Quantum string seal is insecure"
2 pages
Phys. Rev. A 76, 056301 (2007)
10.1103/PhysRevA.76.056301
null
quant-ph
null
Recently an attack strategy was proposed by Chau [H. F. Chau, quant-ph/0602099 v3], which was claimed to be able to break all quantum string seal protocols, including the one proposed by He [G. P. He, Int. J. Quant. Inform. 4, 677 (2006)]. Here it will be shown that the information obtained in He's protocol by the attack is trivial. Thus Chau's conclusion that all quantum string seals are insecure is wrong. It will also be shown that some other claims in Chau's paper are inaccurate either.
[ { "version": "v1", "created": "Sun, 10 Dec 2006 19:10:11 GMT" } ]
2007-11-19T00:00:00
[ [ "He", "Guang Ping", "" ] ]
quant-ph/0612072
Lieven Clarisse
Lieven Clarisse
Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
192 pages
null
null
null
quant-ph
null
PhD thesis (University of York). The thesis covers in a unified way the material presented in quant-ph/0403073, quant-ph/0502040, quant-ph/0504160, quant-ph/0510035, quant-ph/0512012 and quant-ph/0603283. It includes two large review chapters on entanglement and distillation.
[ { "version": "v1", "created": "Sun, 10 Dec 2006 20:52:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Clarisse", "Lieven", "" ] ]
quant-ph/0612073
Jaeyoon Cho
Jaeyoon Cho
Fault-tolerant linear optics quantum computation by error-detecting quantum state transfer
9 pages, 7 figures
Phys. Rev. A 76, 042311 (2007)
10.1103/PhysRevA.76.042311
null
quant-ph
null
A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding error-detection capability. Photons are assumed to be subjected to both photon loss and depolarization, and the threshold region of their strengths for scalable quantum computation is obtained, together with the amount of physical resources consumed. Compared to currently known results, the present scheme reduces the resource requirement, while yielding a comparable threshold region.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 06:03:38 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 08:35:38 GMT" }, { "version": "v3", "created": "Sun, 7 Oct 2007 14:19:36 GMT" } ]
2007-10-07T00:00:00
[ [ "Cho", "Jaeyoon", "" ] ]
quant-ph/0612074
Tom Boness
T. Boness, M.M.A. Stocklin and T.S. Monteiro
Quantum chaos with spin-chains in pulsed magnetic fields
10 pages, 4 figures. Submitted to PTP special issue for QMC2006
null
10.1143/PTPS.166.85
null
quant-ph
null
Recently it was found that the dynamics in a Heisenberg spin-chain subjected to a sequence of periodic pulses from an external, parabolic, magnetic field can have a close correspondence with the quantum kicked rotor (QKR). The QKR is a key paradigm of quantum chaos; it has as its classical limit the well-known Standard Map. It was found that a single spin excitation could be converted into a pair of non-dispersive, counter-propagating spin coherent states equivalent to the accelerator modes of the Standard Map. Here we consider how other types of quantum chaotic systems such as a double-kicked quantum rotor or a quantum rotor with a double-well potential might be realized with spin chains; we discuss the possibilities regarding manipulation of the one-magnon spin waves.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 13:43:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Boness", "T.", "" ], [ "Stocklin", "M. M. A.", "" ], [ "Monteiro", "T. S.", "" ] ]
quant-ph/0612075
Marco Genovese
Giorgio Brida, Marco Genovese, Marco Gramegna, Fabrizio Piacentini, Enrico Predazzi, Ivano Ruo-Berchera
Experimental tests of hidden variable theories from dBB to Stochastic Electrodynamics
null
Journal of Physics: Conference Series 67 (2007) 012047
10.1088/1742-6596/67/1/012047
null
quant-ph
null
In this paper we present some of our experimental results on testing hidden variable theories, which range from Bell inequalities measurements to a conclusive test of stochastic electrodynamics.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 13:40:57 GMT" } ]
2007-06-13T00:00:00
[ [ "Brida", "Giorgio", "" ], [ "Genovese", "Marco", "" ], [ "Gramegna", "Marco", "" ], [ "Piacentini", "Fabrizio", "" ], [ "Predazzi", "Enrico", "" ], [ "Ruo-Berchera", "Ivano", "" ] ]
quant-ph/0612076
Miodrag Krmar
Vladan Pankovi\'c, Milan Predojevi\'c
A Variant and Explanation of the Delayed Choice Experiment
9 pages, no figures
null
null
NS-PH-28/06
quant-ph
null
In this work we suggest a variant of the remarkable Wheeler's delayed choice gedanken experiment. In our experiment, single photon described by a superposition state with two terms dynamically interacts with an atom. Preparation of the atom in any of two excited states can be realized practically in the last moment before interaction. For atom in the first excited state there is practically none dynamical interaction between atom and photon so that the interference effects on the photon can be detected later by a photo plate. For atom in the second excited state dynamical interaction between photon and atom causes certainly the stimulated emission of a new photon that moves coherently with the first photon. Both photons do a super-system described by an entangled quantum state. But in this case photo plate, that realizes simultaneously sub-systemic measurement at any photon, does not detect interference effects. We suggest a simple explanation of given as well as original variant of the delayed choice experiment in full agreement with standard quantum mechanical formalism.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 14:04:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Panković", "Vladan", "" ], [ "Predojević", "Milan", "" ] ]
quant-ph/0612077
John Cooper w
John W. Cooper
A Re-evaluation of Shor's Algorithm
15 pages
null
null
null
quant-ph
null
Shor's algorithm is examined critically from the standpoint of it's eventual use to obtain the factors of large integers.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 16:07:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Cooper", "John W.", "" ] ]
quant-ph/0612078
Klaus Hornberger
Klaus Hornberger
Monitoring approach to open quantum dynamics using scattering theory
5 pages; published version
EPL 77, 50007 (2007)
10.1209/0295-5075/77/50007
null
quant-ph
null
It is shown how S-matrix theory and the concept of continuous quantum measurements can be combined to yield Markovian master equations which describe the environmental interaction non-perturbatively. The method is then applied to obtain the master equation for the effects of a gas on the internal dynamics of an immobile complex quantum system, such as a trapped molecule, in terms of the exact multi-channel scattering amplitudes.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 20:00:13 GMT" }, { "version": "v2", "created": "Thu, 22 Feb 2007 18:01:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Hornberger", "Klaus", "" ] ]
quant-ph/0612079
Luis Roa Oppliger
L. Roa, R. Pozo-Gonzalez, M. Schaefer, P. Utreras-SM
Narrow entanglement beats
six pages and two figure included
null
null
null
quant-ph
null
We study how the entanglement between two atoms can be created or modified even when they do not interact but when each of them interacts dispersively, i.e., weak and far from the resonance with a single mode of the field. Considering that regime we apply a method which makes use of a small nonlinear deformation of the usual SU(2) algebra in order to obtain the effective Hamiltonian describing correctly the dynamics for any initial states. In particular we study two cases: In the first one we consider each atom initially in a pure state and in the second case we assume that they start in a Werner state. We find that both atoms can reach, periodically, maximum entanglement if each of them starts in any eigenstate of the x-componet of the Pauli oprator, independent of the initial Fock state of the mode. Thus we find that a dispersive vacuum can generate entanglement between two two-level atoms. In the second case and when the field mode is initially in a coherent or thermal state, we find that in the high energy limit, in general, there is no entanglement between the two atoms however at well defined moments the initial entanglement is as suddenly recovered as removed. This time behavior looks like narrow beats separated by the so called entanglement dead valleys.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 20:20:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Roa", "L.", "" ], [ "Pozo-Gonzalez", "R.", "" ], [ "Schaefer", "M.", "" ], [ "Utreras-SM", "P.", "" ] ]
quant-ph/0612080
Mark A. Rubin
Mark A. Rubin and Sumanth Kaushik
Loss-Induced Limits to Phase Measurement Precision with Maximally Entangled States
Additional references included
Phys. Rev. A 75 (2007) 053805
10.1103/PhysRevA.75.053805
WW-12938
quant-ph
null
The presence of loss limits the precision of an approach to phase measurement using maximally entangled states, also referred to as NOON states. A calculation using a simple beam-splitter model of loss shows that, for all nonzero values L of the loss, phase measurement precision degrades with increasing number N of entangled photons for N sufficiently large. For L above a critical value of approximately 0.785, phase measurement precision degrades with increasing N for all values of N. For L near zero, phase measurement precision improves with increasing N down to a limiting precision of approximately 1.018 L radians, attained at N approximately equal to 2.218/L, and degrades as N increases beyond this value. Phase measurement precision with multiple measurements and a fixed total number of photons N_T is also examined. For L above a critical value of approximately 0.586, the ratio of phase measurement precision attainable with NOON states to that attainable by conventional methods using unentangled coherent states degrades with increasing N, the number of entangled photons employed in a single measurement, for all values of N. For L near zero this ratio is optimized by using approximately N=1.279/L entangled photons in each measurement, yielding a precision of approximately 1.340 sqrt(L/N_T) radians.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 21:16:42 GMT" }, { "version": "v2", "created": "Fri, 26 Jan 2007 20:50:19 GMT" }, { "version": "v3", "created": "Fri, 26 Jan 2007 21:33:46 GMT" }, { "version": "v4", "created": "Thu, 8 Mar 2007 15:02:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Rubin", "Mark A.", "" ], [ "Kaushik", "Sumanth", "" ] ]
quant-ph/0612081
Robert Adamson
R. B. A. Adamson, P. S. Turner, M. W. Mitchell and A. M. Steinberg
Detecting Hidden Differences via Permutation Symmetries
8 pages, 1 figure
null
10.1103/PhysRevA.78.033832
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a method for describing and characterizing the state of N particles that may be distinguishable in principle but not in practice due to experimental limitations. The technique relies upon a careful treatment of the exchange symmetry of the state among experimentally accessible and experimentally inaccessible degrees of freedom. The approach we present allows a new formalisation of the notion of indistinguishability and can be implemented easily using currently available experimental techniques. Our work is of direct relevance to current experiments in quantum optics, for which we provide a specific implementation.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 21:20:12 GMT" }, { "version": "v2", "created": "Thu, 14 Dec 2006 19:00:02 GMT" }, { "version": "v3", "created": "Fri, 15 Dec 2006 22:11:17 GMT" }, { "version": "v4", "created": "Sun, 23 Dec 2007 00:07:08 GMT" }, { "version": "v5", "created": "Mon, 4 Aug 2008 22:10:01 GMT" } ]
2013-05-29T00:00:00
[ [ "Adamson", "R. B. A.", "" ], [ "Turner", "P. S.", "" ], [ "Mitchell", "M. W.", "" ], [ "Steinberg", "A. M.", "" ] ]
quant-ph/0612082
Alexey Gorshkov
Alexey V. Gorshkov, Axel Andre, Mikhail D. Lukin, Anders S. Sorensen
Photon storage in Lambda-type optically dense atomic media. I. Cavity model
16 pages, 2 figures. V2: significant changes in presentation, new references, higher resolution of figures
Phys. Rev. A 76, 033804 (2007)
10.1103/PhysRevA.76.033804
null
quant-ph
null
In a recent paper [Gorshkov et al., Phys. Rev. Lett. 98, 123601 (2007)], we used a universal physical picture to optimize and demonstrate equivalence between a wide range of techniques for storage and retrieval of photon wave packets in Lambda-type atomic media in free space, including the adiabatic reduction of the photon group velocity, pulse-propagation control via off-resonant Raman techniques, and photon-echo-based techniques. In the present paper, we perform the same analysis for the cavity model. In particular, we show that the retrieval efficiency is equal to C/(1+C) independent of the retrieval technique, where C is the cooperativity parameter. We also derive the optimal strategy for storage and, in particular, demonstrate that at any detuning one can store, with the optimal efficiency of C/(1+C), any smooth input mode satisfying T C gamma >> 1 and a certain class of resonant input modes satisfying T C gamma ~ 1, where T is the duration of the input mode and 2 gamma is the transition linewidth. In the two subsequent papers of the series, we present the full analysis of the free-space model and discuss the effects of inhomogeneous broadening on photon storage.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 23:22:18 GMT" }, { "version": "v2", "created": "Sat, 8 Sep 2007 21:13:12 GMT" } ]
2007-09-09T00:00:00
[ [ "Gorshkov", "Alexey V.", "" ], [ "Andre", "Axel", "" ], [ "Lukin", "Mikhail D.", "" ], [ "Sorensen", "Anders S.", "" ] ]
quant-ph/0612083
Alexey Gorshkov
Alexey V. Gorshkov, Axel Andre, Mikhail D. Lukin, Anders S. Sorensen
Photon storage in Lambda-type optically dense atomic media. II. Free-space model
26 pages, 8 figures. V2: significant changes in presentation, new references, higher resolution of figures
Phys. Rev. A 76, 033805 (2007)
10.1103/PhysRevA.76.033805
null
quant-ph
null
In a recent paper [Gorshkov et al., Phys. Rev. Lett. 98, 123601 (2007)], we presented a universal physical picture for describing a wide range of techniques for storage and retrieval of photon wave packets in Lambda-type atomic media in free space, including the adiabatic reduction of the photon group velocity, pulse-propagation control via off-resonant Raman techniques, and photon-echo based techniques. This universal picture produced an optimal control strategy for photon storage and retrieval applicable to all approaches and yielded identical maximum efficiencies for all of them. In the present paper, we present the full details of this analysis as well some of its extensions, including the discussion of the effects of non-degeneracy of the two lower levels of the Lambda system. The analysis in the present paper is based on the intuition obtained from the study of photon storage in the cavity model in the preceding paper [Gorshkov et al., Phys. Rev. A 76, 033804 (2007)].
[ { "version": "v1", "created": "Mon, 11 Dec 2006 23:30:38 GMT" }, { "version": "v2", "created": "Sat, 8 Sep 2007 21:57:00 GMT" } ]
2007-09-09T00:00:00
[ [ "Gorshkov", "Alexey V.", "" ], [ "Andre", "Axel", "" ], [ "Lukin", "Mikhail D.", "" ], [ "Sorensen", "Anders S.", "" ] ]
quant-ph/0612084
Alexey Gorshkov
Alexey V. Gorshkov, Axel Andre, Mikhail D. Lukin, Anders S. Sorensen
Photon storage in Lambda-type optically dense atomic media. III. Effects of inhomogeneous broadening
15 pages, 8 figures. V2: minor changes in presentation, new references, higher resolution of figures
Phys. Rev. A 76, 033806 (2007)
10.1103/PhysRevA.76.033806
null
quant-ph
null
In a recent paper [Gorshkov et al., Phys. Rev. Lett. 98, 123601 (2007)] and in the two preceding papers [Gorshkov et al., Phys. Rev. A 76, 033804 (2007); 76, 033805 (2007)], we used a universal physical picture to optimize and demonstrate equivalence between a wide range of techniques for storage and retrieval of photon wave packets in homogeneously broadened Lambda-type atomic media, including the adiabatic reduction of the photon group velocity, pulse-propagation control via off-resonant Raman techniques, and photon-echo-based techniques. In the present paper, we generalize this treatment to include inhomogeneous broadening. In particular, we consider the case of Doppler-broadened atoms and assume that there is a negligible difference between the Doppler shifts of the two optical transitions. In this situation, we show that, at high enough optical depth, all atoms contribute coherently to the storage process as if the medium were homogeneously broadened. We also discuss the effects of inhomogeneous broadening in solid state samples. In this context, we discuss the advantages and limitations of reversing the inhomogeneous broadening during the storage time, as well as suggest a way for achieving high efficiencies with a nonreversible inhomogeneous profile.
[ { "version": "v1", "created": "Mon, 11 Dec 2006 23:39:10 GMT" }, { "version": "v2", "created": "Sat, 8 Sep 2007 23:18:11 GMT" } ]
2007-09-09T00:00:00
[ [ "Gorshkov", "Alexey V.", "" ], [ "Andre", "Axel", "" ], [ "Lukin", "Mikhail D.", "" ], [ "Sorensen", "Anders S.", "" ] ]
quant-ph/0612085
Marek Szcz\c{e}sny
Marek Szczesny
Randomized and Quantum Solution of Initial-Value Problems for Ordinary Differential Equations of Order k
null
null
null
null
quant-ph
null
We study possible advantages of randomized and quantum computing over deterministic computing for scalar initial-value problems for ordinary differential equations of order k. For systems of equations of the first order this question has been settled modulo some details in \cite{Kacewicz05}. A speed-up over deterministic computing shown in \cite{Kacewicz05} is related to the increased regularity of the solution with respect to that of the right-hand side function. For a scalar equation of order k (which can be transformed into a special system of the first order), the regularity of the solution is increased by k orders of magnitude. This leads to improved complexity bounds depending on k for linear information in the deterministic setting, see \cite{Szczesny05}. This may suggest that in the randomized and quantum settings a speed-up can also be achieved depending on k. We show in this paper that a speed-up dependent on k is not possible in the randomized and quantum settings. We establish lower complexity bounds, showing that the randomized and quantum complexities remain at the some level as for systems of the first order, no matter how large k is. Thus, the algorithms from \cite{Kacewicz05} remain (almost) optimal, even if we restrict ourselves to a subclass of systems arising from scalar equations of order k.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 00:09:04 GMT" }, { "version": "v2", "created": "Tue, 19 Dec 2006 23:12:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Szczesny", "Marek", "" ] ]
quant-ph/0612086
Jeffrey H. Shapiro
Jeffrey H. Shapiro and Mohsen Razavi
Continuous-time cross-phase modulation and quantum computation
17 pages, 5 figures; values of C and D corrected in equation (45); new figures 3, 4, and 5
null
10.1088/1367-2630/9/1/016
null
quant-ph
null
The weak nonlinear Kerr interaction between single photons and intense laser fields has been recently proposed as a basis for distributed optics-based solutions to few-qubit applications in quantum communication and computation. Here, we analyze the above Kerr interaction by employing a continuous-time multi-mode model for the input/output fields to/from the nonlinear medium. In contrast to previous single-mode treatments of this problem, our analysis takes into account the full temporal content of the free-field input beams as well as the non-instantaneous response of the medium. The main implication of this model, in which the cross-Kerr phase shift on one input is proportional to the photon flux of the other input, is the existence of phase noise terms at the output. We show that these phase noise terms will preclude satisfactory performance of the parity gate proposed by Munro, Nemoto, and Spiller [New J. Phys. 7, 137 (2005)].
[ { "version": "v1", "created": "Tue, 12 Dec 2006 01:31:56 GMT" }, { "version": "v2", "created": "Thu, 28 Dec 2006 15:00:17 GMT" }, { "version": "v3", "created": "Tue, 23 Jan 2007 18:34:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Shapiro", "Jeffrey H.", "" ], [ "Razavi", "Mohsen", "" ] ]
quant-ph/0612087
Xiaolong Su
Xiaolong Su, Jietai Jing, Qing Pan, and Changde Xie
Dense-coding quantum key distribution based on continuous-variable entanglement
null
Phys. Rev. A 74,062305 (2006)
10.1103/PhysRevA.74.062305
null
quant-ph
null
We proposed a scheme of continuous-variable quantum key distribution, in which the bright Einstein-Podolsky-Rosen entangled optical beams are utilized. The source of the entangled beams is placed inside the receiving station, where half of the entangled beams are transmitted with round trip and the other half are retained by the receiver. The amplitude and phase signals modulated on the signal beam by the sender are simultaneously extracted by the authorized receiver with the scheme of the dense-coding correlation measurement for continuous quantum variables, thus the channel capacity is significantly improved. Two kinds of possible eavesdropping are discussed. The mutual information and the secret key rates are calculated and compared with those of unidirectional transmission schemes.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 02:39:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Su", "Xiaolong", "" ], [ "Jing", "Jietai", "" ], [ "Pan", "Qing", "" ], [ "Xie", "Changde", "" ] ]
quant-ph/0612088
Libin Fu
Jie Liu, Li-Bin Fu
Singularity of Berry Connections Inhibits the Accuracy of Adiabatic Approximation
5 pages, 5 figures
Physics Letters A 370, 17(2007)
10.1016/j.physleta.2007.05.021
null
quant-ph
null
Adiabatic approximation for quantum evolution is investigated quantitatively with addressing its dependence on the Berry connections. We find that, in the adiabatic limit, the adiabatic fidelity may uniformly converge to unit or diverge manifesting the breakdown of adiabatic approximation, depending on the type of the singularity of the Berry connections as the functions of slowly-varying parameter $R$. When the Berry connections have a singularity of $1/R^\sigma$ type with $\sigma < 1$, the adiabatic fidelity converges to unit in a power-law; whereas when the singularity index $\sigma$ is larger than one, adiabatic approximation breaks down. Two-level models are used to substantiate our theory.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 02:59:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Liu", "Jie", "" ], [ "Fu", "Li-Bin", "" ] ]
quant-ph/0612089
Piotr Sniady
Cristopher Moore, Alexander Russell, Piotr Sniady
On the impossibility of a quantum sieve algorithm for graph isomorphism: unconditional results
An earlier preprint, quant-ph/0609138, gave versions of these results which were conditional on a group-theoretic conjecture. This version provides unconditional results
In: STOC '07: Proceedings of the thirty-ninth annual ACM symposium on Theory of computing, pages 536-545, New York, NY, USA, 2007. ACM Press
10.1145/1250790.1250868
null
quant-ph math.RT
null
It is known that any quantum algorithm for Graph Isomorphism that works within the framework of the hidden subgroup problem (HSP) must perform highly entangled measurements across \Omega(n \log n) coset states. One of the only known models for how such a measurement could be carried out efficiently is Kuperberg's algorithm for the HSP in the dihedral group, in which quantum states are adaptively combined and measured according to the decomposition of tensor products into irreducible representations. This ``quantum sieve'' starts with coset states, and works its way down towards representations whose probabilities differ depending on, for example, whether the hidden subgroup is trivial or nontrivial. In this paper we show that no such approach can produce a polynomial-time quantum algorithm for Graph Isomorphism. Specifically, we consider the natural reduction of Graph Isomorphism to the HSP over the the wreath product S_n\wr Z_2. Using a recently proved bound on the irreducible characters of S_n, we show that no algorithm in this family can solve Graph Isomorphism in less than e^{\Omega(\sqrt{n})} time, no matter what adaptive rule it uses to select and combine quantum states. In particular, algorithms of this type can offer essentially no improvement over the best known classical algorithms, which run in time e^{O(\sqrt{n \log n})}.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 08:12:34 GMT" }, { "version": "v2", "created": "Mon, 18 Dec 2006 07:33:06 GMT" }, { "version": "v3", "created": "Sat, 7 Apr 2007 06:15:04 GMT" } ]
2007-10-18T00:00:00
[ [ "Moore", "Cristopher", "" ], [ "Russell", "Alexander", "" ], [ "Sniady", "Piotr", "" ] ]
quant-ph/0612090
Wang Zhi Yong
Zhi-Yong Wang, Cai-Dong Xiong
Zitterbewegung at the level of quantum field theory
10 pages, no figure, to be published in Chinese Physics
Chin. Phys. B 17 (11), 4170 (2008)
null
null
quant-ph
null
Traditionally, the zitterbewegung (ZB) of the Dirac electron has just been studied at the level of quantum mechanics. Seeing that the fact that an old interest in ZB has recently been rekindled by the investigations on spintronic, graphene, and superconducting systems, etc., in this paper we present a quantum-field-theory investigation on ZB and obtain the conclusion that, the ZB of an electron arises from the influence of virtual electron-positron pairs (or vacuum fluctuations) on the electron.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 13:07:01 GMT" }, { "version": "v2", "created": "Tue, 9 Jan 2007 10:42:12 GMT" }, { "version": "v3", "created": "Sun, 14 Jan 2007 14:49:55 GMT" }, { "version": "v4", "created": "Thu, 22 Mar 2007 09:52:05 GMT" }, { "version": "v5", "created": "Mon, 6 Aug 2007 12:42:13 GMT" }, { "version": "v6", "created": "Mon, 12 May 2008 00:45:47 GMT" } ]
2008-11-14T00:00:00
[ [ "Wang", "Zhi-Yong", "" ], [ "Xiong", "Cai-Dong", "" ] ]
quant-ph/0612091
Pawel Maslanka
Katarzyna Bolonek, Piotr Kosinski
On the unitarity of higher-dervative and nonlocal theories
8 pages, no figures
J.Phys.A40:11561-11568,2007
10.1088/1751-8113/40/38/008
null
quant-ph hep-th
null
We consider two simple models of higher-derivative and nonlocal quantu systems.It is shown that, contrary to some claims found in literature, they can be made unitary.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 13:15:58 GMT" } ]
2008-11-26T00:00:00
[ [ "Bolonek", "Katarzyna", "" ], [ "Kosinski", "Piotr", "" ] ]
quant-ph/0612092
Marco Giovanni Genoni
Marco G. Genoni, Matteo G. A. Paris
Information/disturbance trade-off in single and sequential measurements on a qudit signal
7 pages, 4 figure. Proceedings of DICE06 (Piombino)
J. Phys. CP 67, 012029 (2007)
null
null
quant-ph
null
We address the trade-off between information gain and state disturbance in measurement performed on qudit systems and devise a class of optimal measurement schemes that saturate the ultimate bound imposed by quantum mechanics to estimation and transmission fidelities. The schemes are minimal, i.e. they involve a single additional probe qudit, and optimal, i.e. they provide the maximum amount of information compatible with a given level of disturbance. The performances of optimal single-user schemes in extracting information by sequential measurements in a N -user transmission line are also investigated, and the optimality is analyzed by explicit evaluation of fidelities. We found that the estimation fidelity does not depend on the number of users, neither for single-measure inference nor for collective one, whereas the transmission fidelity decreases with N . The resulting trade-off is no longer optimal and degrades with increasing N . We found that optimality can be restored by an effective preparation of the probe states and present explicitly calculations for the 2-user case.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 14:03:36 GMT" } ]
2007-08-08T00:00:00
[ [ "Genoni", "Marco G.", "" ], [ "Paris", "Matteo G. A.", "" ] ]
quant-ph/0612093
Quesne Christiane
C. Quesne, V.M. Tkachuk
Lorentz-covariant deformed algebra with minimal length
8 pages, no figure, presented at XV International Colloquium on Integrable Systems and Quantum Symmetries (ISQS-15), Prague, June 15-17, 2006
Czech.J.Phys.56:1269-1274,2006
10.1007/s10582-006-0436-4
ULB/229/CQ/06/5
quant-ph hep-th math-ph math.MP
null
The $D$-dimensional two-parameter deformed algebra with minimal length introduced by Kempf is generalized to a Lorentz-covariant algebra describing a ($D+1$)-dimensional quantized space-time. For D=3, it includes Snyder algebra as a special case. The deformed Poincar\'e transformations leaving the algebra invariant are identified. Uncertainty relations are studied. In the case of D=1 and one nonvanishing parameter, the bound-state energy spectrum and wavefunctions of the Dirac oscillator are exactly obtained.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 15:01:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Quesne", "C.", "" ], [ "Tkachuk", "V. M.", "" ] ]
quant-ph/0612094
Quesne Christiane
C. Quesne
More on an exactly solvable position-dependent mass Schroedinger equation in two dimensions: Algebraic approach and extensions to three dimensions
23 pages, no figure
null
null
ULB/229/CQ/06/6
quant-ph math-ph math.MP
null
An exactly solvable position-dependent mass Schr\"odinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional systems with integrals of motion that are quadratic functions of the momenta. To get the energy spectrum a quadratic algebra approach is used together with a realization in terms of deformed parafermionic oscillator operators. In this process, the importance of supplementing algebraic considerations with a proper treatment of boundary conditions for selecting physical wavefunctions is stressed. Some new results for matrix elements are derived. Finally, the two-dimensional model is extended to two integrable and exactly solvable (but not superintegrable) models in three dimensions, depicting a particle in a semi-infinite parallelepipedal or cylindrical channel, respectively.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 15:08:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Quesne", "C.", "" ] ]
quant-ph/0612095
Jonas Larson
Jonas Larson
Dynamics of the Jayne-Cummings and Rabi models: old wine in new bottles
16 pages, 17 figures; Replaced by published version; Accepted in Physica Scripta
null
null
null
quant-ph cond-mat.other
null
By using a wave packet approach, this paper reviews the Jaynes-Cummings model with and without the rotating wave approximation in a non-standard way. This gives new insight, not only of the two models themselves, but of the rotating wave approximation as well. Expressing the models by field quadrature operators, instead of the typically used boson ladder operators, wave packet simulations are presented. Several known phenomena of these systems, such as collapse-revivals, Rabi oscillation, squeezing and entanglement, are reviewed and explained in this new picture, either in an adiabatic or diabatic frame. The harmonic shape of the potential curves that the wave packets evolve on and the existence of a level crossing make these results interesting in a broader sense than only for models in quantum optics, especially in atomic and molecular physics.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 16:35:50 GMT" }, { "version": "v2", "created": "Sat, 23 Jun 2007 18:42:36 GMT" } ]
2007-06-23T00:00:00
[ [ "Larson", "Jonas", "" ] ]
quant-ph/0612096
Robert A. Van Wesep
Robert A. Van Wesep
Compatibility of representations of quantum systems
The main theorem of this article is very basic, but I have been unable to find any discussion of it or the issue it addresses in the existing literature. As I do not wish to present this as new if it is not, I would greatly appreciate any pertinent reference--even if only a published statement that it is "well known" or "folklore"
null
null
null
quant-ph
null
There is a natural equivalence relation on representations of the states of a given quantum system in a Hilbert space, two representations being equivalent iff they are related by a unitary transformation. There are two equivalence classes, with members of opposite classes being related by a conjugate-unitary (anti-unitary) transformation. These two conjugacy classes are related in much the same way as are the two imaginary units of a complex field, and there is a priori no basis on which to prefer one over the other in any individual case. This is potentially problematic in that the choice of conjugacy class of a representation determines the sign of energy and other quantities defined as generators of continuous symmetries of the system in question, so that it would appear that principles like conservation of energy for a compound system may hold or fail depending on relative choices of conjugacy class of representations of its subsystems. We show that for any finite set of quantum systems there are exactly two ways of choosing conjugacy classes of representations consistent with the usual tensor-product construction for representing the compound system composed of these. Each is obtained from the other by reversing the conjugacy of all the representations at once. The relation of unitary equivalence for representations of a single system is therefore uniquely extendible to representations of all systems that can interact with it.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 17:30:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Van Wesep", "Robert A.", "" ] ]
quant-ph/0612097
Casey Myers
Casey R. Myers, Marcus Silva, Kae Nemoto and William J. Munro
Stabilizer Quantum Error Correction with Qubus Computation
4 pages, 5 figures
Phys. Rev. A 76, 012303 (2007)
10.1103/PhysRevA.76.012303
null
quant-ph
null
In this paper we investigate stabilizer quantum error correction codes using controlled phase rotations of strong coherent probe states. We explicitly describe two methods to measure the Pauli operators which generate the stabilizer group of a quantum code. First, we show how to measure a Pauli operator acting on physical qubits using a single coherent state with large average photon number, displacement operations, and photon detection. Second, we show how to measure the stabilizer operators fault-tolerantly by the deterministic preparation of coherent cat states along with one-bit teleportations between a qubit-like encoding of coherent states and physical qubits.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 17:40:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Myers", "Casey R.", "" ], [ "Silva", "Marcus", "" ], [ "Nemoto", "Kae", "" ], [ "Munro", "William J.", "" ] ]
quant-ph/0612098
Giuseppe Florio
G. Costantini, P. Facchi, G. Florio, S. Pascazio
Multipartite entanglement characterization of a quantum phase transition
10 pages, 6 figures, final version
J. Phys. A: Math. Theor. 40 (2007) 8009-8018
10.1088/1751-8113/40/28/S10
null
quant-ph
null
A probability density characterization of multipartite entanglement is tested on the one-dimensional quantum Ising model in a transverse field. The average and second moment of the probability distribution are numerically shown to be good indicators of the quantum phase transition. We comment on multipartite entanglement generation at a quantum phase transition.
[ { "version": "v1", "created": "Tue, 12 Dec 2006 19:07:43 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 08:24:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Costantini", "G.", "" ], [ "Facchi", "P.", "" ], [ "Florio", "G.", "" ], [ "Pascazio", "S.", "" ] ]
quant-ph/0612099
Akira Kitagawa
Akira kitagawa, Masahiro Takeoka, Masahide Sasaki, and Anthony Chefles
Entanglement quantification with Fisher information
4 pages, 4 figures
null
null
null
quant-ph
null
We show that the Fisher information associated with entanglement-assisted coding has a monotonic relationship with the logarithmic negativity, an important entanglement measure, for certain classes of continuous variable (CV) quantum states of practical significance. These are the two-mode squeezed states and the non-Gaussian states obtained from them by photon subtraction. This monotonic correspondence can be expressed analytically in the case of pure states. Numerical analysis shows that this relationship holds to a very good approximation even in the mixed state case of the photon-subtracted squeezed states. The Fisher information is evaluated by the CV Bell measurement in the limit of weak signal modulation. Our results suggest that the logarithmic negativity of certain sets of non-Gaussian mixed states can be experimentally accessed without homodyne tomography, leading to significant simplification of the experimental procedure.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 02:32:01 GMT" } ]
2007-05-23T00:00:00
[ [ "kitagawa", "Akira", "" ], [ "Takeoka", "Masahiro", "" ], [ "Sasaki", "Masahide", "" ], [ "Chefles", "Anthony", "" ] ]
quant-ph/0612100
John Jeffers
John Jeffers
Preamplified photodetectors for high-fidelity postselecting optical devices
5 pages, 7 figures, typos corrected and Journal Ref Added
Phys. Rev. A 75, 012335 (2007)
10.1103/PhysRevA.75.012335
null
quant-ph
null
The fidelity of postselecting devices based on direct photon number detection can be significantly improved by insertion of a phase-insensitive optical amplifier in front of the detector. The scheme is simple, and the cost to the probability of obtaining the appropriate detector outcome is low.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 09:22:30 GMT" }, { "version": "v2", "created": "Thu, 1 Feb 2007 11:20:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Jeffers", "John", "" ] ]
quant-ph/0612101
Klemens Hammerer
C. Schoen, K. Hammerer, M.M. Wolf, J.I. Cirac, E. Solano
Sequential Generation of Matrix-Product States in Cavity QED
11 pages
Phys. Rev. A 75, 032311 (2007)
10.1103/PhysRevA.75.032311
null
quant-ph cond-mat.str-el
null
We study the sequential generation of entangled photonic and atomic multi-qubit states in the realm of cavity QED. We extend the work of C. Schoen et al. [Phys. Rev. Lett. 95, 110503 (2005)], where it was shown that all states generated in a sequential manner can be classified efficiently in terms of matrix-product states. In particular, we consider two scenarios: photonic multi-qubit states sequentially generated at the cavity output of a single-photon source and atomic multi-qubit states generated by their sequential interaction with the same cavity mode.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 10:05:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Schoen", "C.", "" ], [ "Hammerer", "K.", "" ], [ "Wolf", "M. M.", "" ], [ "Cirac", "J. I.", "" ], [ "Solano", "E.", "" ] ]
quant-ph/0612102
Wang Zhi Yong
Zhi-Yong Wang, Cai-Dong Xiong
Theoretical evidence for the superluminality of evanescent modes
null
Physical Review A 75, 042105 (2007)
10.1103/PhysRevA.75.042105
null
quant-ph
null
Though both theoretical and experimental investigations have revealed the superluminal behavior of evanescent electromagnetic waves, there are many disputes about the physical meaning and validity of such superluminal phenomenon, which is due to the fact that the traditional investigations are based on the theory of tunneling time, and concerned with the problem of what the group velocity of evanescent waves means. In this paper, by studying the quantum probability amplitude for photons to propagate over a spacelike interval along an undersized waveguide, we present theoretical evidence for such superluminality.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 10:50:05 GMT" }, { "version": "v2", "created": "Tue, 6 Mar 2007 15:29:56 GMT" }, { "version": "v3", "created": "Sat, 24 Mar 2007 13:29:42 GMT" }, { "version": "v4", "created": "Thu, 12 Apr 2007 01:59:14 GMT" }, { "version": "v5", "created": "Sat, 18 Aug 2007 00:31:54 GMT" } ]
2015-06-26T00:00:00
[ [ "Wang", "Zhi-Yong", "" ], [ "Xiong", "Cai-Dong", "" ] ]
quant-ph/0612103
Helena Granstrom
Helena Granstrom
Some remarks on the theorems of Gleason and Kochen-Specker
null
null
null
null
quant-ph
null
A Gleason-type theorem is proved for two restricted classes of informationally complete POVMs in the qubit case. A particular (incomplete) Kochen-Specker colouring, suggested by Appleby in dimension three, is generalized to arbitrary dimension. We investigate its effectivity as a function of dimension, using two different measures of this. In particular, we will derive a limit for the fraction of the sphere that can be satisfactorily coloured using the generalized Appleby construction as the number of dimensions approaches infinity. The second, and physically more relevant measure of effectivity, is to look at the fraction of possible ON-bases properly coloured. Using this measure, we will derive a 'lower bound for the upper bound' in three and four real dimensions.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 11:45:21 GMT" }, { "version": "v2", "created": "Mon, 3 Sep 2007 08:12:20 GMT" } ]
2007-09-03T00:00:00
[ [ "Granstrom", "Helena", "" ] ]
quant-ph/0612104
Mikhail Fedorov V.
M.V. Fedorov, M.A. Efremov, P.A. Volkov, E.V. Moreva, S.S. Straupe, and S.P. Kulik
Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversion
null
null
10.1103/PhysRevLett.99.063901
null
quant-ph
null
We show that the wave packet of a biphoton generated via spontaneous parametric down conversion is strongly anisotropic. Its anisotropic features manifest themselves very clearly in comparison of measurements performed in two different schemes: when the detector scanning plane is perpendicular or parallel to the plane containing the crystal optical axis and the laser axis. The first of these two schemes is traditional whereas the second one gives rise to such unexpected new results as anomalously strong narrowing of the biphoton wave packet measured in the coincidence scheme and very high degree of entanglement. The results are predicted theoretically and confirmed experimentally.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 16:03:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Fedorov", "M. V.", "" ], [ "Efremov", "M. A.", "" ], [ "Volkov", "P. A.", "" ], [ "Moreva", "E. V.", "" ], [ "Straupe", "S. S.", "" ], [ "Kulik", "S. P.", "" ] ]
quant-ph/0612105
P. G. L. Porta Mana
A. M{\aa}nsson, P. G. L. Porta Mana, G. Bj\"ork
Numerical Bayesian state assignment for a three-level quantum system. I. Absolute-frequency data; constant and Gaussian-like priors
23 pages, 14 figures. V2: Added an important note concerning cylindrical algebraic decomposition and thanks to P B Slater, corrected some typos, added references
null
null
null
quant-ph
null
This paper offers examples of concrete numerical applications of Bayesian quantum-state-assignment methods to a three-level quantum system. The statistical operator assigned on the evidence of various measurement data and kinds of prior knowledge is computed partly analytically, partly through numerical integration (in eight dimensions) on a computer. The measurement data consist in absolute frequencies of the outcomes of N identical von Neumann projective measurements performed on N identically prepared three-level systems. Various small values of N as well as the large-N limit are considered. Two kinds of prior knowledge are used: one represented by a plausibility distribution constant in respect of the convex structure of the set of statistical operators; the other represented by a Gaussian-like distribution centred on a pure statistical operator, and thus reflecting a situation in which one has useful prior knowledge about the likely preparation of the system. In a companion paper the case of measurement data consisting in average values, and an additional prior studied by Slater, are considered.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 17:05:27 GMT" }, { "version": "v2", "created": "Sun, 29 Apr 2007 16:22:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Månsson", "A.", "" ], [ "Mana", "P. G. L. Porta", "" ], [ "Björk", "G.", "" ] ]
quant-ph/0612106
Christof Wunderlich
N. Timoney, V. Elman, W. Neuhauser, Chr. Wunderlich
Error-resistant Single Qubit Gates with Trapped Ions
5 pages 5 figures
Physical Review A 77, 052334 (2008)
10.1103/PhysRevA.77.052334
null
quant-ph
null
Coherent operations constitutive for the implementation of single and multi-qubit quantum gates with trapped ions are demonstrated that are robust against variations in experimental parameters and intrinsically indeterministic system parameters. In particular, pulses developed using optimal control theory are demonstrated for the first time with trapped ions. Their performance as a function of error parameters is systematically investigated and compared to composite pulses.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 17:56:21 GMT" } ]
2011-12-23T00:00:00
[ [ "Timoney", "N.", "" ], [ "Elman", "V.", "" ], [ "Neuhauser", "W.", "" ], [ "Wunderlich", "Chr.", "" ] ]
quant-ph/0612107
Dave Bacon
Dave Bacon
How a Clebsch-Gordan Transform Helps to Solve the Heisenberg Hidden Subgroup Problem
30 pages, uses qic.sty
null
null
null
quant-ph cs.CC
null
It has recently been shown that quantum computers can efficiently solve the Heisenberg hidden subgroup problem, a problem whose classical query complexity is exponential. This quantum algorithm was discovered within the framework of using pretty-good measurements for obtaining optimal measurements in the hidden subgroup problem. Here we show how to solve the Heisenberg hidden subgroup problem using arguments based instead on the symmetry of certain hidden subgroup states. The symmetry we consider leads naturally to a unitary transform known as the Clebsch-Gordan transform over the Heisenberg group. This gives a new representation theoretic explanation for the pretty-good measurement derived algorithm for efficiently solving the Heisenberg hidden subgroup problem and provides evidence that Clebsch-Gordan transforms over finite groups are a new primitive in quantum algorithm design.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 18:37:08 GMT" }, { "version": "v2", "created": "Thu, 20 Sep 2007 17:08:30 GMT" } ]
2007-09-20T00:00:00
[ [ "Bacon", "Dave", "" ] ]
quant-ph/0612108
Otfried Guehne
Otfried G\"uhne, Norbert L\"utkenhaus
Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
12 pages, 2 figures, for the proceedings of DICE2006 in Piombino (Italy)
J. Phys.: Conf. Ser. 67, 012004 (2007)
10.1088/1742-6596/67/1/012004
null
quant-ph
null
Entanglement witnesses provide a standard tool for the analysis of entanglement in experiments. We investigate possible nonlinear entanglement witnesses from several perspectives. First, we demonstrate that they can be used to show that the set of separable states has no facets. Second, we give a new derivation of nonlinear witnesses based on covariance matrices. Finally, we investigate extensions to the multipartite case.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 19:17:01 GMT" } ]
2007-06-13T00:00:00
[ [ "Gühne", "Otfried", "" ], [ "Lütkenhaus", "Norbert", "" ] ]
quant-ph/0612109
Johan Wulleman
Johan Wulleman
About the Exact Role of Disturbance in Heisenberg's Uncertainty Relation
26 pages, 3 figures; available from http://www.physicsessays.com . This paper goes together with another paper: J.Wulleman, Concepts of Physics 3, 211 (2006), available from http://merlin.fic.uni.lodz.pl/concepts/index.htm
Physics Essays 16 (2003) 413-427
null
null
quant-ph
null
It is generally accepted that the disturbance interpretation cannot explain Heisenberg's uncertainty relation DxDp=h. In this paper a clear distinction will be made between the notions of state preparation and measurement, noting that the disturbance that is referred to in Heisenberg's disturbance interpretation is usually caused by the measurement. The main goal of this paper is to examine and discuss to what extent disturbance during the state preparation plays a role in the interpretation of Heisenberg's uncertainty relation. This examination will be done in the context of a single-slit experiment. To conclude this paper a novel single-slit experiment will be proposed and discussed with which a clearer insight could be gained into the exact role of disturbance when a quantum system passes a single-slit.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 20:55:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Wulleman", "Johan", "" ] ]
quant-ph/0612110
Kirill A. Kazakov
Kirill A. Kazakov
Quantum fluctuations of Coulomb Potential as a Source of Flicker Noise. The Influence of Heat Bath
15 pages, 3 figures. The published version
J. Phys. A: Math. Theor. 40 (2007) 5277-5296
10.1088/1751-8113/40/20/004
null
quant-ph
null
The power spectrum of finite-temperature quantum electromagnetic fluctuations produced by elementary charge carriers under the influence of external electric field is investigated. It is found that under the combined action of the photon heat bath and the external field, the low-frequency asymptotic of the power spectrum is modified both qualitatively and quantitatively. The new term in the power spectrum is inversely proportional to, but is odd in frequency. It comes from the connected part of the correlation function, and is related to the temperature and external field corrections to the photon and charge carrier propagators. In application to the case of a biased conducting sample, this term gives rise to a contribution to the voltage power spectrum which is proportional to the absolute system temperature, the charge carrier mobility, the bias voltage squared, and a factor describing dependence of the noise intensity on the sample geometry. It is verified that the derived expression is in agreement with the experimental data on 1/f-noise measurements in metal films.
[ { "version": "v1", "created": "Wed, 13 Dec 2006 22:41:42 GMT" }, { "version": "v2", "created": "Tue, 15 May 2007 18:17:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Kazakov", "Kirill A.", "" ] ]
quant-ph/0612111
Ling Zhou
Gao Wen Bin, Yang Guo Hui and Zhou Ling
Multi-impurity effects on the entanglement of anisotropic Heisenberg ring XXZ under a homogeneous magnetic field
4 pages, 6 figures
null
null
null
quant-ph
null
The effects of multi-impurity on the entanglement of anisotropic Heisenberg ring XXZ under a homogeneous magnetic field have been studied. The impurities make the equal pairwise entanglement in a ring compete with each other so that the pairwise entanglement exhibits oscillation. If the impurities are of larger couplings, both the critical temperature and pairwise entanglement can be improved
[ { "version": "v1", "created": "Thu, 14 Dec 2006 02:11:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Bin", "Gao Wen", "" ], [ "Hui", "Yang Guo", "" ], [ "Ling", "Zhou", "" ] ]
quant-ph/0612112
Marco Fiorentino
M. Fiorentino, C. M. Santori, S. M. Spillane, W. J. Munro, R. G. Beausoleil
Secure self-calibrating quantum random bit generator
5 pages, 2 figures
Phys. Rev. A 75, 032334 (2007)
10.1103/PhysRevA.75.032334
null
quant-ph
null
Random bit generators (RBGs) are key components of a variety of information processing applications ranging from simulations to cryptography. In particular, cryptographic systems require "strong" RBGs that produce high-entropy bit sequences, but traditional software pseudo-RBGs have very low entropy content and therefore are relatively weak for cryptography. Hardware RBGs yield entropy from chaotic or quantum physical systems and therefore are expected to exhibit high entropy, but in current implementations their exact entropy content is unknown. Here we report a quantum random bit generator (QRBG) that harvests entropy by measuring single-photon and entangled two-photon polarization states. We introduce and implement a quantum tomographic method to measure a lower bound on the "min-entropy" of the system, and we employ this value to distill a truly random bit sequence. This approach is secure: even if an attacker takes control of the source of optical states, a secure random sequence can be distilled.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 01:39:30 GMT" }, { "version": "v2", "created": "Fri, 30 Mar 2007 17:41:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Fiorentino", "M.", "" ], [ "Santori", "C. M.", "" ], [ "Spillane", "S. M.", "" ], [ "Munro", "W. J.", "" ], [ "Beausoleil", "R. G.", "" ] ]
quant-ph/0612113
Daniel Nagaj
Daniel Nagaj, Shay Mozes
A new construction for a QMA complete 3-local Hamiltonian
11 pages, 4 figures
J. Math. Phys. 48, 072104 (2007)
10.1063/1.2748377
null
quant-ph
null
We present a new way of encoding a quantum computation into a 3-local Hamiltonian. Our construction is novel in that it does not include any terms that induce legal-illegal clock transitions. Therefore, the weights of the terms in the Hamiltonian do not scale with the size of the problem as in previous constructions. This improves the construction by Kempe and Regev, who were the first to prove that 3-local Hamiltonian is complete for the complexity class QMA, the quantum analogue of NP. Quantum k-SAT, a restricted version of the local Hamiltonian problem using only projector terms, was introduced by Bravyi as an analogue of the classical k-SAT problem. Bravyi proved that quantum 4-SAT is complete for the class QMA with one-sided error (QMA_1) and that quantum 2-SAT is in P. We give an encoding of a quantum circuit into a quantum 4-SAT Hamiltonian using only 3-local terms. As an intermediate step to this 3-local construction, we show that quantum 3-SAT for particles with dimensions 3x2x2 (a qutrit and two qubits) is QMA_1 complete. The complexity of quantum 3-SAT with qubits remains an open question.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 18:47:10 GMT" } ]
2009-11-13T00:00:00
[ [ "Nagaj", "Daniel", "" ], [ "Mozes", "Shay", "" ] ]
quant-ph/0612114
Fei Gao
Fei Gao, Su-Juan Qin, Qiao-Yan Wen, Fu-Chen Zhu
Fake one-time pad cannot be used to improve the efficiency of quantum communication
6 pages, no figures
null
10.1016/j.physleta.2007.01.047
null
quant-ph
null
Two misuses of one-time pad in improving the efficiency of quantum communication are pointed out. One happens when using some message bits to encrypt others, the other exists because the key bits are not truly random. Both of them result in the decrease of security. Therefore, one-time pad should be used carefully in designing quantum communication protocols.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 06:38:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Gao", "Fei", "" ], [ "Qin", "Su-Juan", "" ], [ "Wen", "Qiao-Yan", "" ], [ "Zhu", "Fu-Chen", "" ] ]
quant-ph/0612115
Jun Jing
Jun Jing and Zhi-Guo L\"u
Quantum dynamics of double-qubits in a spin star lattice with an XY interaction
16 pages, 8 figures, submitted to JPA
null
null
null
quant-ph
null
The dynamics of two coupled spins-1/2 interacting with a spin-bath via the quantum Heisenberg XY coupling is studied. The pair of central spins served as a quantum open subsystem are initially prepared in two types of states: the product states and the Bell states. The bath, which consists of $N$ (in the thermodynamic limit $N\to\infty$) mutually coupled spins-1/2, is in a thermal state at the beginning. By the Holstein-Primakoff transformation, the model can be treated effectively as two spin qubits embedded in a single mode cavity. The time-evolution of the purity, z-component summation and the concurrence of the central spins can be determined by a Laguerre polynomial scheme. It is found that (i) at a low temperature, the uncoupled subsystem in a product state can be entangled due to the interaction with bath, which is tested by the Peres-Horodecki separability; however, at a high temperature, the bath produces a stronger destroy effect on the purity and entanglement of the subsystem; (ii) when the coupling strength between the two central spins is large, they are protected strongly against the bath; (iii) when the interaction between the subsystem and the bath is strong, the collapse of the two spin qubits from their initial entangled state is fast.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 07:24:12 GMT" }, { "version": "v2", "created": "Tue, 9 Oct 2007 13:56:01 GMT" } ]
2007-10-09T00:00:00
[ [ "Jing", "Jun", "" ], [ "Lü", "Zhi-Guo", "" ] ]
quant-ph/0612116
Curceanu Catalina
S. Bartalucci, S. Bertolucci, M. Bragadireanu, M. Cargnelli, M. Catitti, C. Curceanu (Petrascu), S. Di Matteo, J.-P. Egger, C. Guaraldo, M. Iliescu, T. Ishiwatari, M. Laubenstein, J. Marton, E. Milotti, D. Pietreanu, T. Ponta, D.L. Sirghi, F. Sirghi, L. Sperandio, O. Vazquez Doce, E. Widmann, J. Zmeskal
New experimental limit on Pauli Exclusion Principle violation by electrons (the VIP experiment)
submitted to Journal of Physics: Conference Series, by the Institute of Physics
null
10.1088/1742-6596/67/1/012033
null
quant-ph
null
The Pauli exclusion principle (PEP) represents one of the basic principles of modern physics and, even if there are no compelling reasons to doubt its validity, it still spurs a lively debate, because an intuitive, elementary explanation is still missing, and because of its unique stand among the basic symmetries of physics. A new limit on the probability that PEP is violated by electrons was estabilished by the VIP (VIolation of the Pauli exclusion principle) Collaboration, using the method of searching for PEP forbidden atomic transitions in copper. The preliminary value, ${1/2}\beta^{2} \textless 4.5\times 10^{-28}$, represents an improvement of about two orders of magnitude of the previous limit. The goal of VIP is to push this limit at the level of $10^{-30}$.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 11:21:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Bartalucci", "S.", "", "Petrascu" ], [ "Bertolucci", "S.", "", "Petrascu" ], [ "Bragadireanu", "M.", "", "Petrascu" ], [ "Cargnelli", "M.", "", "Petrascu" ], [ "Catitti", "M.", "", "Petrascu" ], [ "Curceanu", "C.", "", "Petrascu" ], [ "Di Matteo", "S.", "" ], [ "Egger", "J. -P.", "" ], [ "Guaraldo", "C.", "" ], [ "Iliescu", "M.", "" ], [ "Ishiwatari", "T.", "" ], [ "Laubenstein", "M.", "" ], [ "Marton", "J.", "" ], [ "Milotti", "E.", "" ], [ "Pietreanu", "D.", "" ], [ "Ponta", "T.", "" ], [ "Sirghi", "D. L.", "" ], [ "Sirghi", "F.", "" ], [ "Sperandio", "L.", "" ], [ "Doce", "O. Vazquez", "" ], [ "Widmann", "E.", "" ], [ "Zmeskal", "J.", "" ] ]
quant-ph/0612117
Dorje C. Brody
Dorje C. Brody, Anna C. T. Gustavsson, Lane P. Hughston
Entanglement of three-qubit geometry
6 pages, 4 figures. Based on the talk presented at DICE 2006
Journal of Physics: Conf. Ser. 67 (2007) 012044
10.1088/1742-6596/67/1/012044
null
quant-ph
null
Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of geometrical features preferentially selected in the space of pure states. Geometric characterisations are given here for systems of one, two, and three spin-1/2 particles, drawing attention to the classification of quantum states into entanglement types.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 11:45:24 GMT" } ]
2007-06-13T00:00:00
[ [ "Brody", "Dorje C.", "" ], [ "Gustavsson", "Anna C. T.", "" ], [ "Hughston", "Lane P.", "" ] ]
quant-ph/0612118
Klaus Hornberger
Klaus Hornberger
Introduction to decoherence theory
57 pages, 2 figures; some new material added and typos corrected. This corresponds to the published version
K. Hornberger, Lect. Notes Phys. 768, 221-276 (2009)
10.1007/978-3-540-88169-8_5
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is an introduction to the theory of decoherence with an emphasis on its microscopic origins and on a dynamic description. The text corresponds to a chapter soon to be published in: A. Buchleitner, C. Viviescas, and M. Tiersch (Eds.), Entanglement and Decoherence. Foundations and Modern Trends, Lecture Notes in Physics, Vol 768, Springer, Berlin (2009)
[ { "version": "v1", "created": "Thu, 14 Dec 2006 14:16:39 GMT" }, { "version": "v2", "created": "Thu, 22 Feb 2007 18:04:07 GMT" }, { "version": "v3", "created": "Wed, 5 Nov 2008 22:41:13 GMT" } ]
2008-11-13T00:00:00
[ [ "Hornberger", "Klaus", "" ] ]
quant-ph/0612119
Jaromir Fiurasek
Lucie Bartuskova, Miloslav Dusek, Antonin Cernoch, Jan Soubusta, Jaromir Fiurasek
Fibre-optics implementation of asymmetric phase-covariant quantum cloner
4 pages, 3 figures, RevTeX4
Phys. Rev. Lett. 99, 120505 (2007).
10.1103/PhysRevLett.99.120505
null
quant-ph
null
We present the experimental realization of optimal symmetric and asymmetric phase-covariant 1->2 cloning of qubit states using fiber optics. State of each qubit is encoded into a single photon which can propagate through two optical fibers. The operation of our device is based on one- and two-photon interference. We have demonstrated creation of two copies of any state of a qubit from the equator of the Bloch sphere. The measured fidelities of both copies are close to the theoretical values and they surpass the theoretical maximum obtainable with the universal cloner.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 14:33:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Bartuskova", "Lucie", "" ], [ "Dusek", "Miloslav", "" ], [ "Cernoch", "Antonin", "" ], [ "Soubusta", "Jan", "" ], [ "Fiurasek", "Jaromir", "" ] ]
quant-ph/0612120
Dorje C. Brody
Dorje C. Brody, Daniel W. Hook, Lane P. Hughston
On quantum microcanonical equilibrium
6 pages, 3 figures. To appear in DICE 2006 conference proceedings
Journal of Physics: Conf. Ser. 67 (2007) 012025
10.1088/1742-6596/67/1/012025
null
quant-ph
null
A quantum microcanonical postulate is proposed as a basis for the equilibrium properties of small quantum systems. Expressions for the corresponding density of states are derived, and are used to establish the existence of phase transitions for finite quantum systems. A grand microcanonical ensemble is introduced, which can be used to obtain new rigorous results in quantum statistical mechanics.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 15:19:40 GMT" } ]
2007-06-13T00:00:00
[ [ "Brody", "Dorje C.", "" ], [ "Hook", "Daniel W.", "" ], [ "Hughston", "Lane P.", "" ] ]
quant-ph/0612121
ChengZhi Peng
Xiang-Bin Wang, Cheng-Zhi Peng, Jun Zhang, Jian-Wei Pan
Security of decoy-state quantum key distribution with inexactly controlled source
null
null
10.1103/PhysRevA.77.042311
null
quant-ph
null
We show the unconditional security of decoy-state method quantum cryptography with whatever intensity error pattern provided that the error is not too large. Our result immediately applies to the existing experimental data. Our result is not limitted to coherent states.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 16:24:19 GMT" }, { "version": "v2", "created": "Mon, 12 Mar 2007 16:29:45 GMT" }, { "version": "v3", "created": "Fri, 8 Feb 2008 08:41:15 GMT" } ]
2013-05-29T00:00:00
[ [ "Wang", "Xiang-Bin", "" ], [ "Peng", "Cheng-Zhi", "" ], [ "Zhang", "Jun", "" ], [ "Pan", "Jian-Wei", "" ] ]
quant-ph/0612122
Alexandre Gavrilik
A.M. Gavrilik, A.P. Rebesh
A q-Oscillator with 'Accidental' Degeneracy of Energy Levels
12 pages, 7 figures; v.2 misprints corrected, two references added, to appear in Mod.Phys.Lett.A
Mod.Phys.Lett.A22:949-960,2007
10.1142/S0217732307022827
null
quant-ph cond-mat.stat-mech hep-th math-ph math.MP nucl-th
null
We study main features of the exotic case of q-deformed oscillators (so-called Tamm-Dancoff cutoff oscillator) and find some special properties: (i) degeneracy of the energy levels E_{n_1} = E_{n_1+1}, n_1\ge 1, at the {\em real value} q=\sqrt{\frac{n_1}{n_1+2}} of deformation parameter, as well as the occurrence of other degeneracies E_{n_1} = E_{n_1+k}, for k \ge 2, at the corresponding values of q which depend on both n_1 and k; (ii) the position and momentum operators X and P {\em commute on the state} |m> if q is fixed as q=\frac{m}{m+1}, that implies unusual uncertainty relation; (iii) two commuting copies of the creation, annihilation, and number operators of this q-oscillator generate the corresponding q-deformation of the {\em non-simple} Lie algebra su(2)\oplus u(1) whose nontrivial q-deformed commutation relation is: [ J_+, J_- ] = 2 J_0 q^{2J_3-1} where J_0\equiv \frac12 (N_1-N_2) and J_3\equiv \frac12 (N_1+N_2).
[ { "version": "v1", "created": "Thu, 14 Dec 2006 19:36:14 GMT" }, { "version": "v2", "created": "Thu, 8 Feb 2007 20:19:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Gavrilik", "A. M.", "" ], [ "Rebesh", "A. P.", "" ] ]
quant-ph/0612123
Indranil Chakrabarty ic
Indranil Chakrabarty
Impossibility of partial swapping of Quantum Information
Accepted for publication in IJQI
IJQI,Volume: 5 No: 4 Year: 2007 pp. 605-609
null
null
quant-ph
null
It is a well known fact that a quantum state $|\psi(\theta,\phi)>$ are represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\phi$. Here in this work, we find out another impossible operation in quantum information theory . We name this impossibility as 'Impossibility of partial swapping of quantum information '. By this we mean that if two unknown quantum states are given at the input port, there exists no physical process, consistent with the principles of quantum mechanics, by which we can partially swap either of the two parameters $\theta$ and $\phi$ between these two quantum states. In this work we provided the impossibility proofs for the qubits(i.e the quantum states taken from two dimensional Hilbert space) and this impossible operation can be shown to hold in higher dimension also.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 18:53:13 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 15:59:33 GMT" } ]
2011-11-09T00:00:00
[ [ "Chakrabarty", "Indranil", "" ] ]
quant-ph/0612124
Alex Hayat
Alex Hayat, Pavel Ginzburg, and Meir Orenstein
High-Rate Entanglement Source via Two-Photon Emission from Semiconductor Quantum Wells
null
null
10.1103/PhysRevB.76.035339
null
quant-ph
null
We propose a compact high-intensity room-temperature source of entangled photons based on the efficient second-order process of two-photon spontaneous emission from electrically-pumped semiconductor quantum wells in a photonic microcavity. Two-photon emission rate in room-temperature semiconductor devices is determined solely by the carrier density, regardless of the residual one-photon emission. The microcavity selects two-photon emission for a specific signal and idler wavelengths and at a preferred direction without modifying the overall rate. Pair-generation rate in GaAs/AlGaAs quantum well structure is estimated using a 14-band model to be 3 orders of magnitude higher than for traditional broadband parametric down-conversion sources.
[ { "version": "v1", "created": "Thu, 14 Dec 2006 20:32:50 GMT" }, { "version": "v2", "created": "Thu, 17 May 2007 14:30:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Hayat", "Alex", "" ], [ "Ginzburg", "Pavel", "" ], [ "Orenstein", "Meir", "" ] ]
quant-ph/0612125
Carmen Tornow
Carmen Tornow
Intrinsic Regularization in a Lorentz invariant non-orthogonal Euclidean Space
11 pages, 3 figures
null
null
null
quant-ph
null
It is shown that the Lorentz transformations can be derived for a non-orthogonal Euclidean space. In this geometry one finds the same relations of special relativity as the ones known from the orthogonal Minkowski space. In order to illustrate the advantage of a non-orthogonal Euclidean metric the two-point Green's function at x = 0 for a self-interacting scalar field is calculated. In contrast to the Minkowski space the one loop mass correction derived from this function gives a convergent result due to an intrinsic regularization parameter called effective dimension. This parameter is an entropy related measure for the information loss caused by quantum fluctuations of the metric at energies higher than the Planckian limit.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 20:58:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Tornow", "Carmen", "" ] ]
quant-ph/0612126
David Poulin
David Poulin and Jon Yard
Dynamics of a Quantum Reference Frame
null
New J. Phys 9, 156 (2007)
10.1088/1367-2630/9/5/156
null
quant-ph
null
We analyze a quantum mechanical gyroscope which is modeled as a large spin and used as a reference against which to measure the angular momenta of spin-1/2 particles. These measurements induce a back-action on the reference which is the central focus of our study. We begin by deriving explicit expressions for the quantum channel representing the back-action. Then, we analyze the dynamics incurred by the reference when it is used to sequentially measure particles drawn from a fixed ensemble. We prove that the reference thermalizes with the measured particles and find that generically, the thermal state is reached in time which scales linearly with the size of the reference. This contrasts a recent conclusion of Bartlett et al. that this takes a quadratic amount of time when the particles are completely unpolarized. We now understand their result in terms of a simple physical principle based on symmetries and conservation laws. Finally, we initiate the study of the non-equilibrium dynamics of the reference. Here we find that a reference in a coherent state will essentially remain in one when measuring polarized particles, while rotating itself to ultimately align with the polarization of the particles.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 01:33:27 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 18:48:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Poulin", "David", "" ], [ "Yard", "Jon", "" ] ]
quant-ph/0612127
Ou Yong-Cheng
Yong-Cheng Ou
Violation of monogamy inequality for higher-dimensional objects
2.5 pages,minor modifications are made
75, 034305(2007) Physical Review A
10.1103/PhysRevA.75.034305
null
quant-ph
null
Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects. An explicit counterexample with a three-qutrit totally antisymmetric state is presented. Since three-tangle has been confirmed to be a natural measure of entanglement for qubit systems, our result shows that the three-tangle is no longer a legitimate measure of entanglement for states with three qutrits or higher dimensional objects.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 04:19:23 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 07:18:07 GMT" }, { "version": "v3", "created": "Tue, 27 Mar 2007 05:20:46 GMT" } ]
2015-06-26T00:00:00
[ [ "Ou", "Yong-Cheng", "" ] ]
quant-ph/0612128
Zhangqi Yin
Peng Peng, Fu-li Li
Entangling two atoms in spatially separated cavities through both photon emission and absorption processes
12 pages, 4 figures
Phys. Rev. A 75, 062320 (2007)
10.1103/PhysRevA.75.062320
null
quant-ph
null
We consider a system consisting of a $\Lambda$-type atom and a V-type atom, which are individually trapped in two spatially separated cavities that are connected by an optical fibre. We show that an extremely entangled state of the two atoms can be deterministically generated through both photon emission of the $\Lambda$-type atom and photon absorption of the V-type atom in an ideal situation. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is also investigated. We find that the effect of photon leakage out of the fibre on the fidelity can be greatly diminished in some special cases. As regards the effect of spontaneous emission and photon loss from the cavities, we find that the present scheme with a fidelity higher than 0.98 may be realized under current experiment conditions.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 09:54:06 GMT" }, { "version": "v2", "created": "Fri, 29 Dec 2006 13:54:45 GMT" } ]
2007-06-20T00:00:00
[ [ "Peng", "Peng", "" ], [ "Li", "Fu-li", "" ] ]
quant-ph/0612129
Anne Ersbak Bang Nielsen
Anne E. B. Nielsen and Klaus Molmer
Photon number states generated from a continuous-wave light source
8 pages, 7 figures, v2: shortened version
Phys. Rev. A 75, 043801 (2007)
10.1103/PhysRevA.75.043801
null
quant-ph
null
Conditional preparation of photon number states from a continuous-wave nondegenerate optical parametric oscillator is investigated. We derive the phase space Wigner function for the output state conditioned on photo detection events that are not necessarily simultaneous, and we maximize its overlap with the desired photon number state by choosing the optimal temporal output state mode function. We present a detailed numerical analysis for the case of two-photon state generation from a parametric oscillator driven with an arbitrary intensity below threshold, and in the low intensity limit, we present a formalism that yields the optimal output state mode function and fidelity for higher photon number states.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 11:09:36 GMT" }, { "version": "v2", "created": "Fri, 20 Apr 2007 16:51:44 GMT" } ]
2007-06-07T00:00:00
[ [ "Nielsen", "Anne E. B.", "" ], [ "Molmer", "Klaus", "" ] ]
quant-ph/0612130
Robert Collins
Veronica Fernandez, Robert J. Collins, Karen J. Gordon, Paul D. Townsend, and Gerald S. Buller
Passive Optical Network Approach to GigaHertz-Clocked Multiuser Quantum Key Distribution
9 pages, PDF only
IEEE Journal of Quantum Electronics, Volume 43 (2), (2007)
10.1109/JQE.2006.887175
null
quant-ph
null
We present the application of quantum key distribution technologies to fiber-based broadband passive optical access networks. This application is based on our 850 nm wavelength gigahertz clock-rate single-receiver system, is compatible with existing telecommunications fiber and exploits a wavelength band not currently utilized in access networks. The developed quantum key distribution networks are capable of transmitting over distances consistent with the span of access links for metropolitan networks (10 km), at clock frequencies ranging up to 3 GHz.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 12:15:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Fernandez", "Veronica", "" ], [ "Collins", "Robert J.", "" ], [ "Gordon", "Karen J.", "" ], [ "Townsend", "Paul D.", "" ], [ "Buller", "Gerald S.", "" ] ]
quant-ph/0612131
Pawel Caban
Pawel Caban, Jakub Rembielinski
Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
9 pages, 2 figures. Published version
Phys.Rev.A74:042103,2006
10.1103/PHYSREVA.74.042103
null
quant-ph
null
We calculate correlation function in the Einstein--Podolsky--Rosen type of experiment with massive relativistic Dirac particles in the framework of the quantum field theory formalism. We perform our calculations for states which are physically interesting and transforms covariantly under the full Lorentz group action, i.e. for pseudoscalar and vector state.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 12:50:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Caban", "Pawel", "" ], [ "Rembielinski", "Jakub", "" ] ]
quant-ph/0612132
Jiangfeng Du
Hongwei Chen, Xianyi Zhou, Dieter Suter and Jiangfeng Du
Experimental Realization of $1 \to 2$ Asymmetric Phase-Covariant Quantum Cloning
6 pages, 5 figures
null
10.1103/PhysRevA.75.012317
null
quant-ph
null
While exact cloning of an unknown quantum state is prohibited by the linearity of quantum mechanics, approximate cloning is possible and has been used, e.g., to derive limits on the security of quantum communication protocols. In the case of asymmetric cloning, the information from the input state is distributed asymmetrically between the different output states. Here, we consider asymmetric phase-covariant cloning, where the goal is to optimally transfer the phase information from a single input qubit to different output qubits. We construct an optimal quantum cloning machine for two qubits that does not require ancilla qubits and implement it on an NMR quantum information processor.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 13:26:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Hongwei", "" ], [ "Zhou", "Xianyi", "" ], [ "Suter", "Dieter", "" ], [ "Du", "Jiangfeng", "" ] ]
quant-ph/0612133
Stein Olav Skr{\o}vseth
Stein Olav Skr{\o}vseth
Entanglement and its applications in systems with many degrees of freedom
PhD thesis, 85 pages
null
null
null
quant-ph
null
Entanglement are the non-local correlations permitted by quantum theory, believed to play a fundamental role in a quantum computer. We have investigated these correlations in a number of theoretical models for condensed matter systems. Such systems are likely candidates for quantum computing, and experimentally feasible for instance as superconducting qubits. At quantum critical points the ground state of these systems is very complicated, and the entanglement is usually larger than at non-critical points. This entanglement can be used to identify the critical points through what we denote the entanglement signature, even for very small systems. From another perspective, it seems that the entanglement is an essential tool to find an unknown ground state, since this gives rise to a simple decomposition of the state.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 15:32:44 GMT" }, { "version": "v2", "created": "Sun, 17 Dec 2006 10:47:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Skrøvseth", "Stein Olav", "" ] ]
quant-ph/0612134
Vadeiko Ilya Dr.
A.V. Rybin, I.P. Vadeiko, A. R. Bishop
Slow-light solitons: influence of relaxation
2 figures
null
null
null
quant-ph
null
We have applied the transformation of the slow light equations to Liouville theory that we developed in our previous work, to study the influence of relaxation on the soliton dynamics. We solved the problem of the soliton dynamics in the presence of relaxation and found that the spontaneous emission from the upper atomic level is strongly suppressed. Our solution proves that the spatial shape of the soliton is well preserved even if the relaxation time is much shorter than the soliton time length. This fact is of great importance for applications of the slow-light soliton concept in optical information processing. We also demonstrate that the relaxation plays a role of resistance to the soliton motion and slows the soliton down even if the controlling field is constant.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 15:22:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Rybin", "A. V.", "" ], [ "Vadeiko", "I. P.", "" ], [ "Bishop", "A. R.", "" ] ]
quant-ph/0612135
Martin Hendrych
M. Hendrych, M. Micuda, and J. P. Torres
Tunable control of the bandwidth and frequency correlations of entangled photons
4 pages, 4 figures, submitted to Phys. Rev. Lett
null
10.1364/OL.32.002339
null
quant-ph
null
We demonstrate experimentally a new technique to control the bandwidth and the type of frequency correlations (correlation, anticorrelation, and even uncorrelation) of entangled photons generated by spontaneous parametric downconversion. The method is based on the control of the group velocities of the interacting waves. This technique can be applied in any nonlinear medium and frequency band of interest. It is also demonstrated that this technique helps enhance the quality of polarization entanglement even when femtosecond pulses are used as a pump.
[ { "version": "v1", "created": "Fri, 15 Dec 2006 16:44:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Hendrych", "M.", "" ], [ "Micuda", "M.", "" ], [ "Torres", "J. P.", "" ] ]
quant-ph/0612136
Christian Raabe
Christian Raabe, Stefan Scheel, and Dirk-Gunnar Welsch
Unified approach to QED in arbitrary linear media
22 pages, no figures
null
10.1103/PhysRevA.75.053813
null
quant-ph
null
We give a unified approach to macroscopic QED in arbitrary linearly responding media, based on the quite general, nonlocal form of the conductivity tensor as it can be introduced within the framework of linear response theory, and appropriately chosen sets of bosonic variables. The formalism generalizes the quantization schemes that have been developed previously for diverse classes of linear media. In particular, it turns out that the scheme developed for locally responding linear magnetodielectric media can be recovered from the general scheme as a limiting case for weakly spatially dispersive media. With regard to practical applications, we furthermore address the dielectric approximation for the conductivity tensor and the surface impedance method for the calculation of the Green tensor of the macroscopic Maxwell equations, the two central quantities of the theory.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 18:53:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Raabe", "Christian", "" ], [ "Scheel", "Stefan", "" ], [ "Welsch", "Dirk-Gunnar", "" ] ]
quant-ph/0612137
Fernando C. Lombardo
Fernando C. Lombardo, Diana Monteoliva and Paula I. Villar
Macroscopic tunneling, decoherence and noise-induced activation
Contribution to the Proceedings of DICE'06
J.Phys.Conf.Ser.67:012027,2007
10.1088/1742-6596/67/1/012027
null
quant-ph cond-mat.other hep-ph hep-th
null
We study the effects of the environment at zero temperature on tunneling in an open system described by a static double-well potential. We show that the evolution of the system in an initial Schrodinger cat state, can be summarized in terms of three main physical phenomena, namely decoherence, quantum tunneling and noise-induced activation. Using large-scale numerical simulations, we obtain a detailed picture of the main stages of the evolution and of the relevant dynamical processes
[ { "version": "v1", "created": "Fri, 15 Dec 2006 21:27:34 GMT" } ]
2008-11-26T00:00:00
[ [ "Lombardo", "Fernando C.", "" ], [ "Monteoliva", "Diana", "" ], [ "Villar", "Paula I.", "" ] ]
quant-ph/0612138
Michel Brune
Stefan Kuhr, S\'ebastien Gleyzes (LKB - Lhomond), Christine Guerlin (LKB - Lhomond), Julien Bernu (LKB - Lhomond), Ulrich Busk Hoff (LKB - Lhomond), Samuel Del\'eglise (LKB - Lhomond), Stefano Osnaghi (LKB - Lhomond), Michel Brune (LKB - Lhomond), Jean-Michel Raimond (LKB - Lhomond), Serge Haroche (LKB - Lhomond), E. Jacques (DAPNIA), P. Bosland (DAPNIA), B. Visentin (DAPNIA)
Ultrahigh finesse Fabry-Perot superconducting resonator
null
Applied Physics Letters 90 (16/04/2007) 164101
10.1063/1.2724816
null
quant-ph
null
We have built a microwave Fabry-Perot resonator made of diamond-machined copper mirrors coated with superconducting niobium. Its damping time (Tc = 130 ms at 51 GHz and 0.8 K) corresponds to a &#64257;nesse of 4.6 x 109, the highest ever reached for a Fabry-Perot in any frequency range. This result opens novel perspectives for quantum information, decoherence and non-locality studies.
[ { "version": "v1", "created": "Sat, 16 Dec 2006 03:38:17 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 08:54:32 GMT" } ]
2007-07-17T00:00:00
[ [ "Kuhr", "Stefan", "", "LKB - Lhomond" ], [ "Gleyzes", "Sébastien", "", "LKB - Lhomond" ], [ "Guerlin", "Christine", "", "LKB - Lhomond" ], [ "Bernu", "Julien", "", "LKB - Lhomond" ], [ "Hoff", "Ulrich Busk", "", "LKB -\n Lhomond" ], [ "Deléglise", "Samuel", "", "LKB - Lhomond" ], [ "Osnaghi", "Stefano", "", "LKB -\n Lhomond" ], [ "Brune", "Michel", "", "LKB - Lhomond" ], [ "Raimond", "Jean-Michel", "", "LKB - Lhomond" ], [ "Haroche", "Serge", "", "LKB - Lhomond" ], [ "Jacques", "E.", "", "DAPNIA" ], [ "Bosland", "P.", "", "DAPNIA" ], [ "Visentin", "B.", "", "DAPNIA" ] ]
quant-ph/0612139
Suresh Tiwari dr
S C Tiwari
Topological Photon
4 pages, no figures
J.Math.Phys.49:032303,2008
10.1063/1.2883828
null
quant-ph
null
We associate intrinsic energy equal to $h\nu/2$ with the spin angular momentum of photon and propose a topological model based on orbifold in space and tifold in time as topological obstructions. The model is substantiated using vector wavefield disclinations. The physical photon is suggested to be a particle like topological photon and a propagating wave such that the energy $h\nu$ of photon is equally divided between spin energy and translational energy corresponding to linear momentum of $h\nu/c$. The enigma of wave-particle duality finds natural resolution and the proposed model gives new insights into the phenomena of interference and emission of radiation.
[ { "version": "v1", "created": "Sat, 16 Dec 2006 08:57:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Tiwari", "S C", "" ] ]
quant-ph/0612140
Majid Mohammadi
M.Mohammadi, M.H.Naderi, M.Soltanolkotabi
Quantum statistical properties of the Jaynes-Cummings model in the presence of a classical homogeneous gravitational field
21 pages
null
10.1088/1751-8113/40/6/014
null
quant-ph
null
The temporal evolution of quantum statistical properties of an interacting atom-radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes-Cummings model. To analyse the dynamical evolution of the atom-radiation system a quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving the Schr\"{o}dinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behavior of the atom-radiation system is explored. Assuming that initially the radiation field is prepared in a coherent state and the two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on the collapses and revivals of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field is studied.
[ { "version": "v1", "created": "Sat, 16 Dec 2006 09:12:05 GMT" }, { "version": "v2", "created": "Wed, 7 Mar 2007 03:03:55 GMT" }, { "version": "v3", "created": "Mon, 12 Mar 2007 11:32:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Mohammadi", "M.", "" ], [ "Naderi", "M. H.", "" ], [ "Soltanolkotabi", "M.", "" ] ]
quant-ph/0612141
Stephen Walborn
S. P. Walborn, D. S. Tasca, M. P. Almeida, P. Pellat-Finet, C. H. Monken and P. H. Souto Ribeiro
Violation of Bell's Inequality with Continuous Variables and Fractional Fourier Transforms
This paper has been withdrawn
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper has been withdrawn due to a crucial theoretical error.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 16:38:24 GMT" }, { "version": "v2", "created": "Thu, 17 Sep 2009 14:27:08 GMT" } ]
2009-09-17T00:00:00
[ [ "Walborn", "S. P.", "" ], [ "Tasca", "D. S.", "" ], [ "Almeida", "M. P.", "" ], [ "Pellat-Finet", "P.", "" ], [ "Monken", "C. H.", "" ], [ "Ribeiro", "P. H. Souto", "" ] ]
quant-ph/0612142
Robert Lompay
Denys Bondar
The information theory and the collapse of a wavefunction at the measurement of a spin 1/2 projection
latex-2e, 6 pages, 1 figure
null
null
null
quant-ph
null
From the point of view of the information theory, a model of the collapse phenomena at the measurement of a spin 1/2 projection is developed. This model phenomenologically includes an observer. The model allows not only to determine the state of a system after the measurement but also to compute the state of the observer. The state of the observer is equivalent to the operator of a spin projection which the observer will measure at the next measurement.
[ { "version": "v1", "created": "Sat, 16 Dec 2006 21:04:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Bondar", "Denys", "" ] ]
quant-ph/0612143
Majid Mohammadi
M.Mohammadi, M.H.Naderi, M.Soltanolkotabi
Influence of a classical homogeneous gravitational field on dissipative dynamics of the Jaynes-Cummings model with phase damping
25 pages, 15 figures
null
10.1007/s10773-007-9526-8
null
quant-ph
null
In this paper, we study the dissipative dynamics of the Jaynes-Cummings model with phase damping in the presence of a classical homogeneous gravitational field. The model consists of a moving two-level atom simultaneously exposed to the gravitational field and a single-mode traveling radiation field in the presence of the phase damping. We present a quantum treatment of the internal and external dynamics of the atom based on an alternative su(2) dynamical algebraic structure. By making use of the super-operator technique, we obtain the solution of the master equation for the density operator of the quantum system, under the Markovian approximation. Assuming that initially the radiation field is prepared in a Glauber coherent state and the two-level atom is in the excited state, we investigate the influence of gravity on the temporal evolution of collapses and revivals of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field in the presence of phase damping.
[ { "version": "v1", "created": "Sun, 17 Dec 2006 03:42:42 GMT" }, { "version": "v2", "created": "Wed, 7 Mar 2007 03:15:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Mohammadi", "M.", "" ], [ "Naderi", "M. H.", "" ], [ "Soltanolkotabi", "M.", "" ] ]
quant-ph/0612144
Abolfazl Bayat
Abolfazl Bayat, Vahid Karimipour
Transfer of d-Level quantum states through spin chains by random swapping
More discussion about the ground state has been added. Accepted in Physical Review A
Phys. Rev. A 75, 022321 (2007).
10.1103/PhysRevA.75.022321
null
quant-ph
null
We generalize an already proposed protocol for quantum state transfer to spin chains of arbitrary spin. An arbitrary unknown $d-$ level state is transferred through a chain with rather good fidelity by the natural dynamics of the chain. We compare the performance of this protocol for various values of $d$. A by-product of our study is a much simpler method for picking up the state at the destination as compared with the one proposed previously. We also discuss entanglement distribution through such chains and show that the quality of entanglement transition increases with the number of levels $d$.
[ { "version": "v1", "created": "Sun, 17 Dec 2006 11:42:59 GMT" }, { "version": "v2", "created": "Thu, 18 Jan 2007 14:38:11 GMT" }, { "version": "v3", "created": "Wed, 24 Jan 2007 08:07:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Bayat", "Abolfazl", "" ], [ "Karimipour", "Vahid", "" ] ]
quant-ph/0612145
H. T Cui
H. T. Cui, K. Li, X. X. Yi
A Study on the Sudden Death of Entanglement
Comments and criticism are welcome. Accepted by Phys. Lett. A
Physics Letters A 365 (2007) 44?C48
10.1016/j.physleta.2006.12.049
null
quant-ph
null
The dynamics of entanglement and the phenomenon of entanglement sudden death (ESD) \cite{yu} are discussed in bipartite systems, measured by Wootters Concurrence. Our calculation shows that ESD appears whenever the system is open or closed and is dependent on the initial condition. The relation of the evolution of entanglement and energy transfer between the system and its surroundings is also studied.
[ { "version": "v1", "created": "Sun, 17 Dec 2006 12:25:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Cui", "H. T.", "" ], [ "Li", "K.", "" ], [ "Yi", "X. X.", "" ] ]
quant-ph/0612146
Johan Aberg
Johan Aberg
Quantifying Superposition
null
null
null
null
quant-ph
null
Measures are introduced to quantify the degree of superposition in mixed states with respect to orthogonal decompositions of the Hilbert space of a quantum system. These superposition measures can be regarded as analogues to entanglement measures, but can also be put in a more direct relation to the latter. By a second quantization of the system it is possible to induce superposition measures from entanglement measures. We consider the measures induced from relative entropy of entanglement and entanglement of formation. We furthermore introduce a class of measures with an operational interpretation in terms of interferometry. We consider the superposition measures under the action of subspace preserving and local subspace preserving channels. The theory is illustrated with models of an atom undergoing a relaxation process in a Mach-Zehnder interferometer.
[ { "version": "v1", "created": "Sun, 17 Dec 2006 15:06:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Aberg", "Johan", "" ] ]
quant-ph/0612147
Steven Jones Mr
H. M. Wiseman, S. J. Jones, and A. C. Doherty
Steering, Entanglement, Nonlocality, and the EPR Paradox
4 pages, 1 figure. v3 updated version published in Phys. Rev. Lett
Phys. Rev. Lett. 98, 140402 (2007)
10.1103/PhysRevLett.98.140402
null
quant-ph
null
The concept of steering was introduced by Schrodinger in 1935 as a generalization of the EPR paradox for arbitrary pure bipartite entangled states and arbitrary measurements by one party. Until now, it has never been rigorously defined, so it has not been known (for example) what mixed states are steerable (that is, can be used to exhibit steering). We provide an operational definition, from which we prove (by considering Werner states and Isotropic states) that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell-nonlocality. For arbitrary bipartite Gaussian states we derive a linear matrix inequality that decides the question of steerability via Gaussian measurements, and we relate this to the original EPR paradox.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 01:54:31 GMT" }, { "version": "v2", "created": "Tue, 23 Jan 2007 07:23:05 GMT" }, { "version": "v3", "created": "Fri, 20 Apr 2007 01:33:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Wiseman", "H. M.", "" ], [ "Jones", "S. J.", "" ], [ "Doherty", "A. C.", "" ] ]
quant-ph/0612148
Gary Ruben
Gary Ruben & David M. Paganin (School of Physics, Monash University)
Phase vortices from a Young's three-pinhole interferometer
10 pages, 8 figures, REVTeX4, Submitted to Phys. Rev. E
null
10.1103/PhysRevE.75.066613
null
quant-ph
null
An analysis is presented of the phase vortices generated in the far field, by an arbitrary arrangement of three monochromatic point sources of complex spherical waves. In contrast with the case of three interfering plane waves, in which an infinitely-extended vortex lattice is generated, the spherical sources generate a finite number of phase vortices. Analytical expressions for the vortex core locations are developed and shown to have a convenient representation in a discrete parameter space. Our analysis may be mapped onto the case of a coherently-illuminated Young's interferometer, in which the screen is punctured by three rather than two pinholes.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 05:50:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Ruben", "Gary", "", "School of Physics, Monash University" ], [ "Paganin", "David M.", "", "School of Physics, Monash University" ] ]
quant-ph/0612149
Daowen Qiu
Daowen Qiu
A sufficient and necessary condition for superdense coding of quantum states
14 pages
International Journal of Quantum Information, 2008, 6: 1115-1125.
null
null
quant-ph
null
Recently, Harrow et al. [Phys. Rev. Lett. 92, 187901 (2004)] gave a method for preparing an arbitrary quantum state with high success probability by physically transmitting some qubits, and by consuming a maximally entangled state, together with exhausting some shared random bits. In this paper, we discover that some states are impossible to be perfectly prepared by Alice and Bob initially sharing those entangled states that are superposed by the ground states, as the states to be prepared. In particular, we present a sufficient and necessary condition for the states being enabled to be exactly prepared with probability one, in terms of the initial entangled states (maybe nonmaximally) superposed by the ground states. In contrast, if the initially shared entanglement is maximal, then the probabilities for preparing these quantum states are smaller than one. Furthermore, the lower bound on the probability for preparing some states are derived.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 05:07:03 GMT" } ]
2010-03-10T00:00:00
[ [ "Qiu", "Daowen", "" ] ]
quant-ph/0612150
Haijun Zhao
H. J. Zhao and M. L. Du
Oscillation structures in the spontaneous emission rate of an atom in a medium with refractive index n between mirrors: a solvable model
16 pages, 5 figures
null
null
null
quant-ph
null
We study the multi-periodic oscillations in the spontaneous emission rate of an atom in a medium with refractive index n sandwiched between two parallel mirrors. The oscillations are not obvious in the analytical formula for the rate derived based on Fermi's golden rule but can be extracted using Fourier transforms by varying the system scale while holding the configuration. The oscillations are interpreted as interferences and correspond to various closed-orbits of the emitted photon going away from and returning to the atom. This system provides a rare example that the oscillations can be explicitly derived by following the emitted wave until it returns to the emitting atom. We demonstrate the summation over a large number of closed-orbits converges to the rate formula of golden rule.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 08:16:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhao", "H. J.", "" ], [ "Du", "M. L.", "" ] ]
quant-ph/0612151
Piotr Garbaczewski
Piotr Garbaczewski
Information dynamics in quantum theory
11 pages
Appl. Math. & Information Sciences 1, (2007), 1-12
null
null
quant-ph
null
Shannon entropy and Fisher information functionals are known to quantify certain information-theoretic properties of continuous probability distributions of various origins. We carry out a systematic study of these functionals, while assuming that the pertinent probability density has a quantum mechanical appearance $\rho \doteq |\psi |^2$, with $\psi \in L^2(R)$. Their behavior in time, due to the quantum Schr\"{o}dinger picture evolution-induced dynamics of $\rho (x,t)$ is investigated as well, with an emphasis on thermodynamical features of quantum motion.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 10:06:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Garbaczewski", "Piotr", "" ] ]
quant-ph/0612152
Stefano Longhi
Stefano Longhi
Bound states in the continuum in a single-level Fano-Anderson model
5 figures (submitted for publication)
Eur. Phys. J. B 57, 45-51 (2007)
10.1140/epjb/e2007-00143-2
null
quant-ph
null
Bound states in the continuum (BIC) are shown to exist in a single-level Fano-Anderson model with a colored interaction between the discrete state and a tight-binding continuum, which may describe mesoscopic electron or photon transport in a semi-infinite one-dimensional lattice. The existence of BIC is explained in the lattice realization as a boundary effect induced by lattice truncation.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 13:55:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Longhi", "Stefano", "" ] ]
quant-ph/0612153
Andrei Khrennikov
Andrei Khrennikov
A Mathematician's Viewpoint to Bell's theorem: In Memory of Walter Philipp
null
Foundations of probability and physics-- 4, G. Adenier, C. Fuchs and A. Khrennikov (eds), AIP Conference Proceedings, 889, Amer. Inst. Phys., Melville, NY, 2007, 7--20
10.1063/1.2713442
null
quant-ph
null
In this paper dedicated to the memory of Walter Philipp, we formalize the rules of classical$\to$ quantum correspondence and perform a rigorous mathematical analysis of the assumptions in Bell's NO-GO arguments.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 14:33:06 GMT" } ]
2015-06-26T00:00:00
[ [ "Khrennikov", "Andrei", "" ] ]
quant-ph/0612154
Nickolas VanMeter
N. M. VanMeter, P. Lougovski, D. B. Uskov, K. Kieling, J. Eisert, and Jonathan P. Dowling
General linear-optical quantum state generation scheme: Applications to maximally path-entangled states
5 pages, 2 figures
Phys. Rev. A 76, 063808 (2007)
10.1103/PhysRevA.76.063808
null
quant-ph
null
We introduce schemes for linear-optical quantum state generation. A quantum state generator is a device that prepares a desired quantum state using product inputs from photon sources, linear-optical networks, and postselection using photon counters. We show that this device can be concisely described in terms of polynomial equations and unitary constraints. We illustrate the power of this language by applying the Grobner-basis technique along with the notion of vacuum extensions to solve the problem of how to construct a quantum state generator analytically for any desired state, and use methods of convex optimization to identify bounds to success probabilities. In particular, we disprove a conjecture concerning the preparation of the maximally path-entangled |n,0)+|0,n) (NOON) state by providing a counterexample using these methods, and we derive a new upper bound on the resources required for NOON-state generation.
[ { "version": "v1", "created": "Mon, 18 Dec 2006 19:09:36 GMT" }, { "version": "v2", "created": "Wed, 2 Jan 2008 22:55:02 GMT" } ]
2009-11-13T00:00:00
[ [ "VanMeter", "N. M.", "" ], [ "Lougovski", "P.", "" ], [ "Uskov", "D. B.", "" ], [ "Kieling", "K.", "" ], [ "Eisert", "J.", "" ], [ "Dowling", "Jonathan P.", "" ] ]
quant-ph/0612155
Fr\'ed\'eric Dupuis
Fr\'ed\'eric Dupuis, Patrick Hayden, Ke Li
A father protocol for quantum broadcast channels
Typo in statement of Theorem 4 fixed
IEEE Transactions on Information Theory 56(6)2946-2956, 2010
10.1109/TIT.2010.2046217
null
quant-ph cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A new protocol for quantum broadcast channels based on the fully quantum Slepian-Wolf protocol is presented. The protocol yields an achievable rate region for entanglement-assisted transmission of quantum information through a quantum broadcast channel that can be considered the quantum analogue of Marton's region for classical broadcast channels. The protocol can be adapted to yield achievable rate regions for unassisted quantum communication and for entanglement-assisted classical communication; in the case of unassisted transmission, the region we obtain has no independent constraint on the sum rate, only on the individual transmission rates. Regularized versions of all three rate regions are provably optimal.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 20:29:06 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 17:46:39 GMT" }, { "version": "v3", "created": "Mon, 31 Jan 2011 09:51:18 GMT" }, { "version": "v4", "created": "Wed, 10 Oct 2012 10:27:02 GMT" } ]
2012-10-11T00:00:00
[ [ "Dupuis", "Frédéric", "" ], [ "Hayden", "Patrick", "" ], [ "Li", "Ke", "" ] ]
quant-ph/0612156
Gerald Gilbert
G. Gilbert, M. Hamrick and Y.S. Weinstein
On the use of photonic N00N states for practical quantum interferometry
14 pages, 7 figures
JOSA B, Vol. 25, Issue 8, pp. 1336-1340, 2008
null
null
quant-ph
null
The performance of photonic $N00N$ states, propagating in an attenuating medium, is analyzed with respect to phase estimation. It is shown that, for $N00N$ states propagating through a lossy medium, the Heisenberg limit is never achieved. It is also shown that, for a given value of $N$, a signal comprised of an attenuated separable state of $N$ photons will actually produce a better phase estimate than will a signal comprised of an equally attenuated $N00N$ state, unless the transmittance of the medium is very high. This is a consequence of the need to utilize measurement operators appropriate to the different signal states. The result is that, for most practical applications in realistic scenarios with attenuation, the resolution of $N00N$ state-based phase estimation not only does not achieve the Heisenberg Limit, but is actually worse than the Standard Quantum Limit. It is demonstrated that this performance deficit becomes more pronounced as the number, $N$, of photons in the signal increases.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 19:22:07 GMT" } ]
2008-07-30T00:00:00
[ [ "Gilbert", "G.", "" ], [ "Hamrick", "M.", "" ], [ "Weinstein", "Y. S.", "" ] ]
quant-ph/0612157
Jing Zhang
Haixia Chen, Jing Zhang
Continuous-Variable Quantum Cloning of Coherent states with Phase-Conjugate Input Modes Using Linear Optics
6 pages, 3 figures. appear in Phys. Rev. A
Phys. Rev. A 75, 022306 (2007)
10.1103/PhysRevA.75.022306
null
quant-ph
null
We propose a scheme for continuous-variable quantum cloning of coherent states with phase-conjugate input modes using linear optics. The quantum cloning machine yields $M$ identical optimal clones from $N$ replicas of a coherent state and $N$ its replicas of phase conjugate. This scheme can be straightforwardly implemented with the setup accessible at present since its optical implementation only employs simple linear optical elements and homodyne detection. Compared with the original scheme for continuous variables quantum cloning with phase-conjugate input modes proposed by Cerf and Iblisdir [Phys. Rev. Lett. 87, 247903 (2001)], which utilized a nondegenerate optical parametric amplifier, our scheme loses the output of phase-conjugate clones and is regarded as irreversible quantum cloning.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 00:43:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Haixia", "" ], [ "Zhang", "Jing", "" ] ]
quant-ph/0612158
Yukihiro Ota
Yukihiro Ota, Shuji Mikami, Motoyuki Yoshida, Ichiro Ohba
Attainable entanglement of unitary transformed thermal states in liquid-state nuclear magnetic resonance with the chemical shift
9 pages, 1 figures. There were mistakes in the previous version. The main results don't change, but our motivation has to be reconsidered
J. Phys. A: Math. Theor. 40, (2007) 14263-14277.
10.1088/1751-8113/40/47/016
null
quant-ph
null
Recently, Yu, Brown, and Chuang [Phys. Rev. A {\bf 71}, 032341 (2005)] investigated the entanglement attainable from unitary transformed thermal states in liquid-state nuclear magnetic resonance (NMR). Their research gave an insight into the role of the entanglement in a liquid-state NMR quantum computer. Moreover, they attempted to reveal the role of mixed-state entanglement in quantum computing. However, they assumed that the Zeeman energy of each nuclear spin which corresponds to a qubit takes a common value for all; there is no chemical shift. In this paper, we research a model with the chemical shifts and analytically derive the physical parameter region where unitary transformed thermal states are entangled, by the positive partial transposition (PPT) criterion with respect to any bipartition. We examine the effect of the chemical shifts on the boundary between the separability and the nonseparability, and find it is negligible.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 07:06:35 GMT" }, { "version": "v2", "created": "Wed, 20 Dec 2006 05:01:32 GMT" }, { "version": "v3", "created": "Thu, 5 Apr 2007 12:25:17 GMT" } ]
2007-11-10T00:00:00
[ [ "Ota", "Yukihiro", "" ], [ "Mikami", "Shuji", "" ], [ "Yoshida", "Motoyuki", "" ], [ "Ohba", "Ichiro", "" ] ]
quant-ph/0612159
Onur Hosten
Onur Hosten and Paul G. Kwiat
Weak Measurements and Counterfactual Computation
2 pages
null
null
null
quant-ph
null
Vaidman, in a recent article adopts the method of 'quantum weak measurements in pre- and postselected ensembles' to ascertain whether or not the chained-Zeno counterfactual computation scheme proposed by Hosten et al. is counterfactual; which has been the topic of a debate on the definition of counterfactuality. We disagree with his conclusion, which brings up some interesting aspects of quantum weak measurements and some concerns about the way they are interpreted.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 08:02:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Hosten", "Onur", "" ], [ "Kwiat", "Paul G.", "" ] ]
quant-ph/0612160
Zhijiao Deng
Z. J. Deng, K. L. Gao, F. Mang
Alternative scheme for two-qubit conditional phase gate by adiabatic passage under dissipation
to appear in J. Phys. B
null
10.1088/0953-4075/40/2/008
null
quant-ph
null
We check a recent proposal [H. Goto and K. Ichimura Phys. Rev. A 70, 012305 (2004)] for controlled phase gate through adiabatic passage under the influence of spontaneous emission and the cavity decay. We show a modification of above proposal could be used to generate the necessary conditional phase gates in the two-qubit Grover search. Conditioned on no photon leakage either from the atomic excited state or from the cavity mode during the gating period, we numerically analyze the success probability and the fidelity of the two-qubit conditional phase gate by adiabatic passage. The comparison made between our proposed gating scheme and a previous one shows that Goto and Ichimura's scheme is an alternative and feasible way in the optical cavity regime for two-qubit gates and could be generalised in principle to multi-qubit gates.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 08:38:44 GMT" } ]
2015-06-26T00:00:00
[ [ "Deng", "Z. J.", "" ], [ "Gao", "K. L.", "" ], [ "Mang", "F.", "" ] ]
quant-ph/0612161
Zhijiao Deng
Z.J. Deng, K.L. Gao, M. Feng
Generation of N-qubit W state with rf-SQUID qubits by adiabatic passage
to appear in Phys. Rev. A
null
10.1103/PhysRevA.74.064303
null
quant-ph
null
A simple scheme is presented to generate n-qubit W state with rf-superconducting quantum interference devices (rf-SQUIDs) in cavity QED through adiabatic passage. Because of the achievable strong coupling for rf-SQUID qubits embedded in cavity QED, we can get the desired state with high success probability. Furthermore, the scheme is insensitive to position inaccuracy of the rf-SQUIDs. The numerical simulation shows that, by using present experimental techniques, we can achieve our scheme with very high success probability, and the fidelity could be eventually unity with the help of dissipation.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 09:03:56 GMT" } ]
2015-06-26T00:00:00
[ [ "Deng", "Z. J.", "" ], [ "Gao", "K. L.", "" ], [ "Feng", "M.", "" ] ]
quant-ph/0612162
Giacomo Mauro D'Ariano
Giacomo Mauro D'Ariano
Where the mathematical structure of Quantum Mechanics coms from
Work presented at the conference "Beyond the Quantum" held at the Lorentz Center in Leiden from May 29th through June 2nd 2006. Synthesis of quant-ph/0611094
null
null
null
quant-ph
null
The mathematical formulation of Quantum Mechanics is derived from purely operational axioms based on a general definition of "experiment" as a set of transformations. The main ingredient of the mathematical construction is the postulated existence of "faithful states" that allows one to calibrate the experimental apparatus. Such notion is at the basis of the operational definitions of the scalar product and of the "adjoint" of a transformation.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 18:43:15 GMT" } ]
2007-05-23T00:00:00
[ [ "D'Ariano", "Giacomo Mauro", "" ] ]