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quant-ph/0604158
Stefan Mossmann
S. Mossmann, C. Jung
Semiclassical approach to Bose-Einstein condensates in a triple well potential
15 pages, 15 figures
Phys. Rev. A 74, 033601 (2006)
10.1103/PhysRevA.74.033601
null
quant-ph
null
We present a new approach for the analysis of Bose-Einstein condensates in a few mode approximation. This method has already been used to successfully analyze the vibrational modes in various molecular systems and offers a new perspective on the dynamics in many particle bosonic systems. We discuss a system consisting of a Bose-Einstein condensate in a triple well potential. Such systems correspond to classical Hamiltonian systems with three degrees of freedom. The semiclassical approach allows a simple visualization of the eigenstates of the quantum system referring to the underlying classical dynamics. From this classification we can read off the dynamical properties of the eigenstates such as particle exchange between the wells and entanglement without further calculations. In addition, this approach offers new insights into the validity of the mean-field description of the many particle system by the Gross-Pitaevskii equation, since we make use of exactly this correspondence in our semiclassical analysis. We choose a three mode system in order to visualize it easily and, moreover, to have a sufficiently interesting structure, although the method can also be extended to higher dimensional systems.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 21:06:08 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 21:13:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Mossmann", "S.", "" ], [ "Jung", "C.", "" ] ]
quant-ph/0604159
David Clader
B.D. Clader, Q-Han Park, and J.H. Eberly
Fast Light in Fully Coherent Gain Media
3 pages, 3 figures. Replaced with revised version submitted to Optics Letters
Optics Letters, Vol. 31, Issue 19, pp. 2921-2923, 2006
10.1364/OL.31.002921
null
quant-ph
null
We analyze the propagation of fast-light pulses through a finite-length resonant gain medium both analytically and numerically. We find that intrinsic instabilities can be avoided in attaining a substantial peak advance with an ultra-short rather than a long or adiabatic probe.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 17:08:05 GMT" }, { "version": "v2", "created": "Thu, 15 Jun 2006 17:21:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Clader", "B. D.", "" ], [ "Park", "Q-Han", "" ], [ "Eberly", "J. H.", "" ] ]
quant-ph/0604160
Dafa Li
D. Li, X. Li, H. Huang, X. Li
The Simple Criteria of SLOCC Equivalence Classes
The original version was submitted to PRA in Feb. 2005, the paper No. is AA10020. 14 pages for the present version. No figures
Published in Physics Letters A 359 (2006) 428-437
10.1016/j.physleta.2006.07.004
null
quant-ph
null
We put forward an alternative approach to the SLOCC classification of entanglement states of three-qubit and four-qubit systems. By directly solving matrix equations, we obtain the relations satisfied by the amplitudes of states. The relations are readily tested since in them only addition, subtraction and multiplication occur.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 02:35:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "D.", "" ], [ "Li", "X.", "" ], [ "Huang", "H.", "" ], [ "Li", "X.", "" ] ]
quant-ph/0604161
Andreas Klappenecker
Andreas Klappenecker and Pradeep Kiran Sarvepalli
Clifford Code Constructions of Operator Quantum Error Correcting Codes
11 pages of character theory; minor changes, theorem 6 added
null
null
null
quant-ph cs.IT math.IT
null
Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This note introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 05:24:07 GMT" }, { "version": "v2", "created": "Wed, 18 Oct 2006 20:46:40 GMT" } ]
2007-07-13T00:00:00
[ [ "Klappenecker", "Andreas", "" ], [ "Sarvepalli", "Pradeep Kiran", "" ] ]
quant-ph/0604162
Maxim Chernodub
M. N. Chernodub and Antti J. Niemi
Spin-Charge Separation and the Pauli Electron
7 pages; v2: new results added, references updated
JETPLett.85:353-357,2007
10.1134/S0021364007080024
UUITP-05/06, ITEP-LAT/2006-02, KANAZAWA/2006-03
quant-ph cond-mat.str-el hep-ph hep-th
null
The separation between the spin and the charge converts the quantum mechanical Pauli Hamiltonian into the Hamiltonian of the non-Abelian Georgi-Glashow model, notorious for its magnetic monopoles and confinement. The independent spin and charge fluctuations both lead to the Faddeev model, suggesting the existence of a deep duality structure and indicating that the fundamental carriers of spin and charge are knotted solitons.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 09:03:52 GMT" }, { "version": "v2", "created": "Mon, 3 Jul 2006 21:20:09 GMT" } ]
2008-11-26T00:00:00
[ [ "Chernodub", "M. N.", "" ], [ "Niemi", "Antti J.", "" ] ]
quant-ph/0604163
Jens Eisert
J. Eisert, M.B. Plenio, D.E. Browne, S. Scheel, A. Feito
On the experimental feasibility of continuous-variable optical entanglement distillation
5 pages, 5 figures, contribution to conference proceedings
Optics and Spectroscopy 103, 181 (2007)
10.1134/S0030400X07080012
null
quant-ph
null
Entanglement distillation aims at preparing highly entangled states out of a supply of weakly entangled pairs, using local devices and classical communication only. In this note we discuss the experimentally feasible schemes for optical continuous-variable entanglement distillation that have been presented in [D.E. Browne, J. Eisert, S. Scheel, and M.B. Plenio, Phys. Rev. A 67, 062320 (2003)] and [J. Eisert, D.E. Browne, S. Scheel, and M.B. Plenio, Annals of Physics (NY) 311, 431 (2004)]. We emphasize their versatility in particular with regards to the detection process and discuss the merits of the two proposed detection schemes, namely photo-detection and homodyne detection, in the light of experimental realizations of this idea becoming more and more feasible.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 19:23:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Eisert", "J.", "" ], [ "Plenio", "M. B.", "" ], [ "Browne", "D. E.", "" ], [ "Scheel", "S.", "" ], [ "Feito", "A.", "" ] ]
quant-ph/0604164
Dorje C. Brody
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
Combinatorics and field theory
5 pages, 4 figures
Twistor Newsletter 45, 36-39 (2000)
null
null
quant-ph hep-th
null
For any given sequence of integers there exists a quantum field theory whose Feynman rules produce that sequence. An example is illustrated for the Stirling numbers. The method employed here offers a new direction in combinatorics and graph theory.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 14:57:07 GMT" } ]
2013-09-13T00:00:00
[ [ "Bender", "Carl M.", "" ], [ "Brody", "Dorje C.", "" ], [ "Meister", "Bernhard K.", "" ] ]
quant-ph/0604165
Mikio Kozuma
R. Inoue, N. Kanai, T. Yonehara, Y. Miyamoto, M. Koashi and M. Kozuma
Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon
5 pages, 3 figures
Phys. Rev. A 74, 053809 (2006)
10.1103/PhysRevA.74.053809
null
quant-ph
null
Recently, atomic ensemble and single photons were successfully entangled by using collective enhancement [D. N. Matsukevich, \textit{et al.}, Phys. Rev. Lett. \textbf{95}, 040405(2005).], where atomic internal states and photonic polarization states were correlated in nonlocal manner. Here we experimentally clarified that in an ensemble of atoms and a photon system, there also exists an entanglement concerned with spatial degrees of freedom. Generation of higher-dimensional entanglement between remote atomic ensemble and an application to condensed matter physics are also discussed.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 16:39:50 GMT" }, { "version": "v2", "created": "Wed, 11 Oct 2006 07:37:37 GMT" }, { "version": "v3", "created": "Wed, 18 Oct 2006 04:04:08 GMT" }, { "version": "v4", "created": "Wed, 30 Jan 2008 06:27:56 GMT" } ]
2008-01-30T00:00:00
[ [ "Inoue", "R.", "" ], [ "Kanai", "N.", "" ], [ "Yonehara", "T.", "" ], [ "Miyamoto", "Y.", "" ], [ "Koashi", "M.", "" ], [ "Kozuma", "M.", "" ] ]
quant-ph/0604166
Yi-Kai Liu
Yi-Kai Liu
Consistency of Local Density Matrices is QMA-complete
13 pages; v2 has a better section on numerical precision, and various other improvements; will appear in RANDOM 2006; v3 fixes some long-neglected and possibly confusing typos in the proof of thm. 3
null
null
null
quant-ph
null
Suppose we have an n-qubit system, and we are given a collection of local density matrices rho_1,...,rho_m, where each rho_i describes a subset C_i of the qubits. We say that the rho_i are ``consistent'' if there exists some global state sigma (on all n qubits) that matches each of the rho_i on the subsets C_i. This generalizes the classical notion of the consistency of marginal probability distributions. We show that deciding the consistency of local density matrices is QMA-complete (where QMA is the quantum analogue of NP). This gives an interesting example of a hard problem in QMA. Our proof is somewhat unusual: we give a Turing reduction from Local Hamiltonian, using a convex optimization algorithm by Bertsimas and Vempala, which is based on random sampling. Unlike in the classical case, simple mapping reductions do not seem to work here.
[ { "version": "v1", "created": "Fri, 21 Apr 2006 20:05:52 GMT" }, { "version": "v2", "created": "Fri, 16 Jun 2006 22:41:04 GMT" }, { "version": "v3", "created": "Mon, 10 Dec 2007 05:19:42 GMT" } ]
2007-12-10T00:00:00
[ [ "Liu", "Yi-Kai", "" ] ]
quant-ph/0604167
Nuno Dias
Nuno Costa Dias, Joao Nuno Prata
Features of Moyal Trajectories
19 pages, Latex file
J. Math. Phys. 48, 012109 (2007).
10.1063/1.2409495
null
quant-ph
null
We study the Moyal evolution of the canonical position and momentum variables. We compare it with the classical evolution and show that, contrary to what is commonly found in the literature, the two dynamics do not coincide. We prove that this divergence is quite general by studying Hamiltonians of the form $p^2 /2m + V(q)$. Several alternative formulations of Moyal dynamics are then suggested. We introduce the concept of starfunction and use it to reformulate the Moyal equations in terms of a system of ordinary differential equations on the noncommutative Moyal plane. We then use this formulation to study the semiclassical expansion of Moyal trajectories, which is cast in terms of a (order by order in $\hbar$) recursive hierarchy of i) first order partial differential equations as well as ii) systems of first order ordinary differential equations. The latter formulation is derived independently for analytic Hamiltonians as well as for the more general case of smooth local integrable ones. We present various examples illustrating these results.
[ { "version": "v1", "created": "Sat, 22 Apr 2006 19:28:00 GMT" } ]
2015-06-26T00:00:00
[ [ "Dias", "Nuno Costa", "" ], [ "Prata", "Joao Nuno", "" ] ]
quant-ph/0604168
Dong Yang
Dong Yang
A simple proof of monogamy of entanglement
The published version. Minor changes
Phys. Lett. A 360, 249-250 (2006)
10.1016/j.physleta.2006.08.027
null
quant-ph
null
Monogamy of entanglement means that an entangled state cannot be shared with many parties. The more parties, the less entanglement between them. In this paper, we give a simple proof of this property and provide an upper bound of the number of parties.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 03:15:54 GMT" }, { "version": "v2", "created": "Thu, 2 Nov 2006 11:57:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Yang", "Dong", "" ] ]
quant-ph/0604169
Michael Raymer
M. G. Raymer and Brian J. Smith
The Maxwell wave function of the photon
SPIE conference Optics and Photonics, Conference number 5866, The Nature of Light: What is a Photon?" (San Diego, Aug. 2005)
null
null
null
quant-ph
null
James Clerk Maxwell unknowingly discovered a correct relativistic, quantum theory for the light quantum, forty-three years before Einstein postulated the photon's existence. In this theory, the usual Maxwell field is the quantum wave function for a single photon. When the non-operator Maxwell field of a single photon is second quantized, the standard Dirac theory of quantum optics is obtained. Recently, quantum-state tomography has been applied to experimentally determine photon wave functions.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 04:36:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Raymer", "M. G.", "" ], [ "Smith", "Brian J.", "" ] ]
quant-ph/0604170
Esteban Guevara Hidalgo
Esteban Guevara Hidalgo
Introduction to the study of entropy in Quantum Games
4 pages
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The present work is an introductory study about entropy its properties and its role in quantum information theory. In a next work, we will use these results to the analysis of a quantum game described by a density operator and with its entropy equal to von Neumann's.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 19:46:27 GMT" }, { "version": "v2", "created": "Wed, 26 Apr 2006 14:31:27 GMT" }, { "version": "v3", "created": "Tue, 24 Apr 2007 23:02:30 GMT" }, { "version": "v4", "created": "Thu, 8 Dec 2016 23:08:28 GMT" } ]
2016-12-12T00:00:00
[ [ "Hidalgo", "Esteban Guevara", "" ] ]
quant-ph/0604171
Boris Levin
B.A. Kotov, B.M. Levin, and V.I. Sokolov
Orthopositronium: "On the possible relation of gravity to electricity"
18 pages
null
null
null
quant-ph
null
The resolve of the 'orthopositronium-lifetime puzzle' needs study of the "isotope anomaly" in gaseous neon and also of the contribution ~ 0.002 of nonperturbative mode into orthopositronium annihilation. The Michigan results (2003) are considered as the first supervision of relation between gravitation and electricity. For the decision of alternative in interpretation of new and former results it is necessary to execute the program of additional measurements.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 07:57:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Kotov", "B. A.", "" ], [ "Levin", "B. M.", "" ], [ "Sokolov", "V. I.", "" ] ]
quant-ph/0604172
Soojoon Lee
Dong Pyo Chi, Jeong San Kim, and Soojoon Lee
Notes on the hidden subgroup problem on some semi-direct product groups
6 pages, no figures
Phys. Lett. A 359, 114 (2006).
null
null
quant-ph
null
We consider the hidden subgroup problem on the semi-direct product of cyclic groups $\Z_{N}\rtimes\Z_{p}$ with some restriction on $N$ and $p$. By using the homomorphic properties, we present a class of semi-direct product groups in which the structures of subgroups can be easily classified. Furthermore, we show that there exists an efficient quantum algorithm for the hidden subgroup problem on the class.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 08:24:56 GMT" } ]
2009-09-30T00:00:00
[ [ "Chi", "Dong Pyo", "" ], [ "Kim", "Jeong San", "" ], [ "Lee", "Soojoon", "" ] ]
quant-ph/0604173
Roderich Tumulka
Martin Daumer, Detlef Duerr, Sheldon Goldstein, Tim Maudlin, Roderich Tumulka, Nino Zanghi
The Message of the Quantum?
4 pages, no figures
P. 129-132 in A. Bassi, D. Duerr, T. Weber and N. Zanghi (eds), Quantum Mechanics: Are there Quantum Jumps? and On the Present Status of Quantum Mechanics, AIP Conference Proceedings 844, American Institute of Physics (2006)
10.1063/1.2219357
null
quant-ph
null
We criticize speculations to the effect that quantum mechanics is fundamentally about information. We do this by pointing out how unfounded such speculations in fact are. Our analysis focuses on the dubious claims of this kind recently made by Anton Zeilinger.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 09:44:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Daumer", "Martin", "" ], [ "Duerr", "Detlef", "" ], [ "Goldstein", "Sheldon", "" ], [ "Maudlin", "Tim", "" ], [ "Tumulka", "Roderich", "" ], [ "Zanghi", "Nino", "" ] ]
quant-ph/0604174
Akinori Kawachi
Masahito Hayashi, Akinori Kawachi, and Hirotada Kobayashi
Quantum Measurements for Hidden Subgroup Problems with Optimal Sample Complexity
11 pages. Adding an application to quantum encryption schemes and correcting editorial errors
Quantum Information and Computation, 8, 0345-0358 (2008)
null
null
quant-ph
null
One of the central issues in the hidden subgroup problem is to bound the sample complexity, i.e., the number of identical samples of coset states sufficient and necessary to solve the problem. In this paper, we present general bounds for the sample complexity of the identification and decision versions of the hidden subgroup problem. As a consequence of the bounds, we show that the sample complexity for both of the decision and identification versions is $\Theta(\log|\HH|/\log p)$ for a candidate set $\HH$ of hidden subgroups in the case that the candidate subgroups have the same prime order $p$, which implies that the decision version is at least as hard as the identification version in this case. In particular, it does so for the important instances such as the dihedral and the symmetric hidden subgroup problems. Moreover, the upper bound of the identification is attained by the pretty good measurement. This shows that the pretty good measurement can identify any hidden subgroup of an arbitrary group with at most $O(\log|\HH|)$ samples.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 10:36:06 GMT" }, { "version": "v2", "created": "Sun, 24 Sep 2006 12:28:31 GMT" }, { "version": "v3", "created": "Wed, 23 May 2007 05:57:48 GMT" } ]
2008-04-26T00:00:00
[ [ "Hayashi", "Masahito", "" ], [ "Kawachi", "Akinori", "" ], [ "Kobayashi", "Hirotada", "" ] ]
quant-ph/0604175
Mehmet Ko\c{c}ak
M. Kocak
Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
6 pages
Chin. Phys. Lett. 24 (2007) 315
10.1088/0256-307X/24/2/004
null
quant-ph
null
The relativistic problem of spinless particle subject to a Kratzer potential is analyzed. Bound state solutions for the s-wave are found by separating the Klein-Gordon equation in two parts, unlike the similar works in the literature, which provides one to see explicitly the relativistic contributions, if any, to the solution in the non-relativistic limit.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 12:48:35 GMT" }, { "version": "v2", "created": "Thu, 10 Aug 2006 10:54:13 GMT" } ]
2015-06-26T00:00:00
[ [ "Kocak", "M.", "" ] ]
quant-ph/0604176
Rasoul Roknizadeh
A. Mahdifar, R. Roknizadeh, and M. H. Naderi
Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
12 pages, 7 figs. To be appeared in J. Phys. A
null
10.1088/0305-4470/39/22/014
null
quant-ph
null
In this paper, we investigate the relation between the curvature of the physical space and the deformation function of the deformed oscillator algebra using non-linear coherent states approach. For this purpose, we study two-dimensional harmonic oscillators on the flat surface and on a sphere by applying the Higgs modell. With the use of their algebras, we show that the two-dimensional oscillator algebra on a surface can be considered as a deformed one-dimensional oscillator algebra where the effect of the curvature of the surface is appeared as a deformation function. We also show that the curvature of the physical space plays the role of deformation parameter. Then we construct the associated coherent states on the flat surface and on a sphere and compare their quantum statistical properties, including quadrature squeezing and antibunching effect.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 12:59:37 GMT" }, { "version": "v2", "created": "Tue, 25 Apr 2006 17:23:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Mahdifar", "A.", "" ], [ "Roknizadeh", "R.", "" ], [ "Naderi", "M. H.", "" ] ]
quant-ph/0604177
Ilja Gerhardt
I. Gerhardt, G. Wrigge, P. Bushev, G. Zumofen, R. Pfab, V. Sandoghdar
Strong extinction of a laser beam by a single molecule
5 pages, 4 figures, submitted to PRL
Phys. Rev. Lett. 98, 033601 (2007)
10.1103/PhysRevLett.98.033601
null
quant-ph
null
We present an experiment where a single molecule strongly affects the amplitude and phase of a laser field emerging from a subwavelength aperture. We achieve a visibility of -6% in direct and +10% in cross-polarized detection schemes. Our analysis shows that a close to full extinction should be possible using near-field excitation.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 14:15:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Gerhardt", "I.", "" ], [ "Wrigge", "G.", "" ], [ "Bushev", "P.", "" ], [ "Zumofen", "G.", "" ], [ "Pfab", "R.", "" ], [ "Sandoghdar", "V.", "" ] ]
quant-ph/0604178
Jiangbin Gong
Paul Brumer and Jiangbin Gong
The Born Rule in Quantum and Classical Mechanics
5 pages, no figures, to appear in Phys. Rev. A
Phys. Rev. A 73, 052109 (2006)
10.1103/PhysRevA.73.052109
null
quant-ph
null
Considerable effort has been devoted to deriving the Born rule (e.g. that $|\psi(x)|^2 dx$ is the probability of finding a system, described by $\psi$, between $x$ and $x + dx$) in quantum mechanics. Here we show that the Born rule is not solely quantum mechanical; rather, it arises naturally in the Hilbert space formulation of {\it classical} mechanics as well. These results provide new insights into the nature of the Born rule, and impact on its understanding in the framework of quantum mechanics.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 14:37:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Brumer", "Paul", "" ], [ "Gong", "Jiangbin", "" ] ]
quant-ph/0604179
Jian Wang
Jian Wang, Quan Zhang, Chao-jing Tang
Quantum broadcast communication
null
Chin. Phys., 2007, 16 (7): 1868-1877
10.1088/1009-1963/16/7/011
null
quant-ph
null
Broadcast encryption allows the sender to securely distribute his/her secret to a dynamically changing group of users over a broadcast channel. In this paper, we just consider a simple broadcast communication task in quantum scenario, which the central party broadcasts his secret to multi-receiver via quantum channel. We present three quantum broadcast communication schemes. The first scheme utilizes entanglement swapping and Greenberger-Horne-Zeilinger state to realize a task that the central party broadcasts his secret to a group of receivers who share a group key with him. In the second scheme, based on dense coding, the central party broadcasts the secret to multi-receiver who share each of their authentication key with him. The third scheme is a quantum broadcast communication scheme with quantum encryption, which the central party can broadcast the secret to any subset of the legal receivers.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 18:42:35 GMT" }, { "version": "v2", "created": "Tue, 25 Apr 2006 03:44:26 GMT" }, { "version": "v3", "created": "Fri, 28 Apr 2006 15:38:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Jian", "" ], [ "Zhang", "Quan", "" ], [ "Tang", "Chao-jing", "" ] ]
quant-ph/0604180
Giuseppe Florio
Antonio Trullo, Paolo Facchi, Rosario Fazio, Giuseppe Florio, Vittorio Giovannetti, Saverio Pascazio
Robustness of optimal working points for non-adiabatic holonomic quantum computation
14 pages, 8 figures
Las. Phys. 16, 1478 (2006)
10.1134/S1054660X06100094
null
quant-ph
null
Geometric phases are an interesting resource for quantum computation, also in view of their robustness against decoherence effects. We study here the effects of the environment on a class of one-qubit holonomic gates that have been recently shown to be characterized by "optimal" working times. We numerically analyze the behavior of these optimal points and focus on their robustness against noise.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 15:25:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Trullo", "Antonio", "" ], [ "Facchi", "Paolo", "" ], [ "Fazio", "Rosario", "" ], [ "Florio", "Giuseppe", "" ], [ "Giovannetti", "Vittorio", "" ], [ "Pascazio", "Saverio", "" ] ]
quant-ph/0604181
Fred Thaheld H
Fred H. Thaheld
The argument for an objective wave function collapse: Why spontaneous localization collapse or no-collapse decoherence cannot solve the measurement problem in a subjective fashion
8 pages, no figures
null
null
null
quant-ph physics.bio-ph
null
A more detailed analysis of the measurement problem continues to support the position taken by Shimony and the author that collapse of the wave function takes place in an objective manner in the rhodopsin molecule of the retina. This casts further doubts on the theories involving a spontaneous localization collapse process or a no-collapse decoherence process taking place in the visual cortex in a subjective fashion. The possibility is then raised, as per Anandan, as to whether the solution of the measurement problem in quantum theory allows one to address the problem of quantizing gravitation.
[ { "version": "v1", "created": "Mon, 24 Apr 2006 19:06:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Thaheld", "Fred H.", "" ] ]
quant-ph/0604182
Muhammet Ali Can
Sinem Binicioglu, M. Ali Can, Alexander A. Klyachko, and Alexander S. Shumovsky
Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
12 pages, 2 figure : title has been changed, paper is re-organized, new section "Violation of Bell-type condition by single spin-1" is added
null
10.1007/s10701-007-9149-1
null
quant-ph
null
Using a single spin-1 object as an example, we discuss a recent approach to quantum entanglement. The key idea of the approach consists in presetting of basic observables in the very definition of quantum system. Specification of basic observables defines the dynamic symmetry of the system. Entangled states of the system are then interpreted as states with maximal amount of uncertainty of all basic observables. The approach gives purely physical picture of entanglement. In particular, it separates principle physical properties of entanglement from inessential. Within the model example under consideration, we show relativity of entanglement with respect to dynamic symmetry and argue existence of single-particle entanglement. A number of physical examples are considered.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 01:27:16 GMT" }, { "version": "v2", "created": "Tue, 20 Mar 2007 21:52:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Binicioglu", "Sinem", "" ], [ "Can", "M. Ali", "" ], [ "Klyachko", "Alexander A.", "" ], [ "Shumovsky", "Alexander S.", "" ] ]
quant-ph/0604183
Matthias Christandl
Matthias Christandl
The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography
PhD thesis, February 2006, University of Cambridge. Part I contains results from quant-ph/0409016 and quant-ph/0511029, and analyses Horn's problem in this context. Part II reviews entanglement measures, presents results from quant-ph/0308088 and quant-ph/0501090, and provides new material on entanglement measures, information-gain versus disturbance tradeoffs and cheat sensitive quantum string commitment
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quant-ph
null
This thesis presents a study of the structure of bipartite quantum states. In the first part, the representation theory of the unitary and symmetric groups is used to analyse the spectra of quantum states. In particular, it is shown how to derive a one-to-one relation between the spectra of a bipartite quantum state and its reduced states, and the Kronecker coefficients of the symmetric group. In the second part, the focus lies on the entanglement of bipartite quantum states. Drawing on an analogy between entanglement distillation and secret-key agreement in classical cryptography, a new entanglement measure, `squashed entanglement', is introduced.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 08:55:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Christandl", "Matthias", "" ] ]
quant-ph/0604184
Yi-Xin Chen
Lin Chen, Yi-Xin Chen and Yu-Xue Mei
Classification of multipartite entanglement containing infinitely many kinds of states
11 pages, revtex
null
10.1103/PhysRevA.74.052331
null
quant-ph
null
We give a further investigation of the range criterion and Low-to-High Rank Generating Mode (LHRGM) introduced in \cite{Chen}, which can be used for the classification of $2\times{M}\times{N}$ states under reversible local filtering operations. By using of these techniques, we entirely classify the family of $2\times4\times4$ states, which actually contains infinitely many kinds of states. The classifications of true entanglement of $2\times(M+3)\times(2M+3)$ and $2\times(M+4)\times(2M+4)$ systems are briefly listed respectively.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 08:15:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Lin", "" ], [ "Chen", "Yi-Xin", "" ], [ "Mei", "Yu-Xue", "" ] ]
quant-ph/0604185
Akbar Fahmi
A. Fahmi
New Approach to Quantum Key Distribution Via Quantum Encryption
10 pages, 2 figures, comments welcome
null
null
null
quant-ph
null
In this Paper, we investigate the security of Zhang, Li and Guo quantum key distribution via quantum encryption protocol [$\text{Phys. Rev. A} \textbf{64}, 24302 (2001)$] and show that it is not secure against some of Eve's attacks and with the probability one half she gets all of keys without being detected by the two parties. The main defect in this protocol is that there is an attack strategy by which Eve can change the previously shared Bell state between Alice and Bob to two Bell states among herself and Alice and Bob. Hence, we show that with probability $1/d$ its generalization to $d$-dimension systems is not secure and show that its extension to the case of more partners based on the reusable GHZ states is not secure and with probability one half Eve gets all of keys without being detected by the two parties. In what follows, we show how in going to higher dimensions those protocols can be repaired.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 12:30:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Fahmi", "A.", "" ] ]
quant-ph/0604186
Jos\'e Gaite
Jose Gaite
Renormalization Group and Quantum Information
16 pages, 5 figures, accepted in Journal of Physics A
J.Phys.A39:7993-8006,2006
10.1088/0305-4470/39/25/S13
null
quant-ph cond-mat.str-el hep-th
null
The renormalization group is a tool that allows one to obtain a reduced description of systems with many degrees of freedom while preserving the relevant features. In the case of quantum systems, in particular, one-dimensional systems defined on a chain, an optimal formulation is given by White's "density matrix renormalization group". This formulation can be shown to rely on concepts of the developing theory of quantum information. Furthermore, White's algorithm can be connected with a peculiar type of quantization, namely, angular quantization. This type of quantization arose in connection with quantum gravity problems, in particular, the Unruh effect in the problem of black-hole entropy and Hawking radiation. This connection highlights the importance of quantum system boundaries, regarding the concentration of quantum states on them, and helps us to understand the optimal nature of White's algorithm.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 15:16:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Gaite", "Jose", "" ] ]
quant-ph/0604187
Bing Qi
Bing Qi, Lei-Lei Huang, Hoi-Kwong Lo, Li Qian
Quantum key distribution based on a Sagnac loop interferometer and polarization-insensitive phase modulators
4 pages
Optics Express Vol. 14 p4264-4269 (2006)
10.1364/OE.14.004264
null
quant-ph
null
We present a design for a quantum key distribution(QKD) system in a Sagnac loop configuration, employing a novel phase modulation scheme based on frequency shift, and demonstrate stable BB84 QKD operation with high interference visibility and low quantum bit error rate (QBER). The phase modulation is achieved by sending two light pulses with a fixed time delay (or a fixed optical path delay) through a frequency shift element and by modulating the amount of frequency shift. The relative phase between two light pulses upon leaving the frequency-shift element is determined by both the time delay (or the optical path delay) and the frequency shift, and can therefore be controlled by varying the amount of frequency shift. To demonstrate its operation, we used an acousto-optic modulator (AOM) as the frequency-shift element, and vary the driving frequency of the AOM to encode phase information.The interference visibility for a 40km and a 10km fiber loop is 96% and 99%, respectively, at single photon level. We ran BB84 protocol in a 40-km Sagnac loop setup continuously for one hour and the measured QBER remained within the 2%~5% range. A further advantage of our scheme is that both phase and amplitude modulation can be achieved simultaneously by frequency and amplitude modulation of the AOM's driving signal, allowing our QKD system the capability of implementing other protocols, such as the decoy-state QKD and the continuous- variable QKD. We also briefly discuss a new type of Eavesdropping strategy ("phaseremapping" attack) in bidirectional QKD system.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 16:41:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Qi", "Bing", "" ], [ "Huang", "Lei-Lei", "" ], [ "Lo", "Hoi-Kwong", "" ], [ "Qian", "Li", "" ] ]
quant-ph/0604188
Azhar Iqbal
Azhar Iqbal
Investigations in quantum games using EPR-type set-ups
PhD thesis, University of Hull, 2006, 10 figures, 114 pages, defended on Feb 14, 2006. The official version of this thesis is available from the University of Hull, UK
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null
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quant-ph
null
Research in quantum games has flourished during recent years. However, it seems that opinion remains divided about their true quantum character and content. For example, one argument says that quantum games are nothing but 'disguised' classical games and that to quantize a game is equivalent to replacing the original game by a different classical game. The present thesis contributes towards the ongoing debate about quantum nature of quantum games by developing two approaches addressing the related issues. Both approaches take Einstein-Podolsky-Rosen (EPR)-type experiments as the underlying physical set-ups to play two-player quantum games. In the first approach, the players' strategies are unit vectors in their respective planes, with the knowledge of coordinate axes being shared between them. Players perform measurements in an EPR-type setting and their payoffs are defined as functions of the correlations, i.e. without reference to classical or quantum mechanics. Classical bimatrix games are reproduced if the input states are classical and perfectly anti-correlated, as for a classical correlation game. However, for a quantum correlation game, with an entangled singlet state as input, qualitatively different solutions are obtained. The second approach uses the result that when the predictions of a Local Hidden Variable (LHV) model are made to violate the Bell inequalities the result is that some probability measures assume negative values. With the requirement that classical games result when the predictions of a LHV model do not violate the Bell inequalities, our analysis looks at the impact which the emergence of negative probabilities has on the solutions of two-player games which are physically implemented using the EPR-type experiments.
[ { "version": "v1", "created": "Tue, 25 Apr 2006 17:38:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Iqbal", "Azhar", "" ] ]
quant-ph/0604189
Andrzej Grudka
Pawel Kurzynski and Andrzej Grudka
Graphical representation of generalized quantum measurements
Pedagogical paper, comments welcome
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null
null
quant-ph
null
We present graphical representation for genaralized quantum measurements (POVM). We represent POVM elements as Bloch vectors and find the conditions these vectors should satisfy in order to describe realizable physical measurements. We show how to find probability of measurement outcome in a graphical way. The whole formalism is applied to unambigous discrimination of nonorthogonal quantum states.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 11:47:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Kurzynski", "Pawel", "" ], [ "Grudka", "Andrzej", "" ] ]
quant-ph/0604190
Dragomir Z. Djokovic
Dragomir Z. Djokovic
Multigraded Poincare series for mixed states of two qubits and the boundary of the set of separable states
6 pages, no figures. Exposition improved. Abstract modified. The last section corrected and expanded giving more accurate description of the boundary of the set of separable states. Several new references added
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quant-ph
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Let M be the set of mixed states and S the set of separable states of the two-qubit system, and G = SU(2) x SU(2) the group of local unitary transformations (ignoring the overall phase factor). We compute the multigraded Poincare series for the algebra of G-invariant polynomial functions on the affine space of all Hermitian operators of trace 1. We check that this series is consistent with the list of invariants computed by Makhlin. By using the recent result of Augusiak et al., we show that the boundary of S decomposes naturally into two pieces. We prove that the part of this boundary which is contained in the relative interior of M is a smooth manifold.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 11:52:22 GMT" }, { "version": "v2", "created": "Mon, 8 May 2006 02:21:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Djokovic", "Dragomir Z.", "" ] ]
quant-ph/0604191
Huw Price
Huw Price
Probability in the Everett World: Comments on Wallace and Greaves
17 pages; no figures; LaTeX
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quant-ph
null
It is often objected that the Everett interpretation of QM cannot make sense of quantum probabilities, in one or both of two ways: either it can't make sense of probability at all, or it can't explain why probability should be governed by the Born rule. David Deutsch has attempted to meet these objections. He argues not only that rational decision under uncertainty makes sense in the Everett interpretation, but also that under reasonable assumptions, the credences of a rational agent in an Everett world should be constrained by the Born rule. David Wallace has developed and defended Deutsch's proposal, and greatly clarified its conceptual basis. In particular, he has stressed its reliance on the distinguishing symmetry of the Everett view, viz., that all possible outcomes of a quantum measurement are treated as equally real. The argument thus tries to make a virtue of what has usually been seen as the main obstacle to making sense of probability in the Everett world. In this note I outline some objections to the Deutsch-Wallace argument, and to related proposals by Hilary Greaves about the epistemology of Everettian QM. (In the latter case, my arguments include an appeal to an Everettian analogue of the Sleeping Beauty problem.) The common thread to these objections is that the symmetry in question remains a very significant obstacle to making sense of probability in the Everett interpretation.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 09:55:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Price", "Huw", "" ] ]
quant-ph/0604192
Claudiu Genes
C. Genes, P. R. Berman
Atomic entanglement generation with reduced decoherence via four-wave mixing
null
Phys. Rev. A 73, 063828 (2006)
10.1103/PhysRevA.73.063828
null
quant-ph
null
In most proposals for the generation of entanglement in large ensembles of atoms via projective measurements, the interaction with the vacuum is responsible for both the generation of the signal that is detected and the spin depolarization or decoherence. In consequence, one has to usually work in a regime where the information aquisition via detection is sufficiently slow (weak measurement regime) such as not to strongly disturb the system. We propose here a four-wave mixing scheme where, owing to the pumping of the atomic system into a dark state, the polarization of the ensemble is not critically affected by spontaneous emission, thus allowing one to work in a strong measurement regime.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 16:15:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Genes", "C.", "" ], [ "Berman", "P. R.", "" ] ]
quant-ph/0604193
Al\'an Aspuru-Guzik
Al\'an Aspuru-Guzik, Anthony D. Dutoi, Peter J. Love and Martin Head-Gordon
Simulated Quantum Computation of Molecular Energies
20 pages, 3 figures
Science 309 p. 1704, 2005
10.1126/science.1113479
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quant-ph
null
The calculation time for the energy of atoms and molecules scales exponentially with system size on a classical computer but polynomially using quantum algorithms. We demonstrate that such algorithms can be applied to problems of chemical interest using modest numbers of quantum bits. Calculations of the water and lithium hydride molecular ground-state energies have been carried out on a quantum computer simulator using a recursive phase-estimation algorithm. The recursive algorithm reduces the number of quantum bits required for the readout register from about 20 to 4. Mappings of the molecular wave function to the quantum bits are described. An adiabatic method for the preparation of a good approximate ground-state wave function is described and demonstrated for a stretched hydrogen molecule. The number of quantum bits required scales linearly with the number of basis functions, and the number of gates required grows polynomially with the number of quantum bits.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 18:14:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Aspuru-Guzik", "Alán", "" ], [ "Dutoi", "Anthony D.", "" ], [ "Love", "Peter J.", "" ], [ "Head-Gordon", "Martin", "" ] ]
quant-ph/0604194
Zheng-Chuan Wang
Zheng-Chuan Wang
Expectation Value in Bell's Theorem
5 pages, 0 figure
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null
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quant-ph
null
We will demonstrate in this paper that Bell's theorem (Bell's inequality) does not really conflict with quantum mechanics, the controversy between them originates from the different definitions for the expectation value using the probability distribution in Bell's inequality and the expectation value in quantum mechanics. We can not use quantum mechanical expectation value measured in experiments to show the violation of Bell's inequality and then further deny the local hidden-variables theory. Considering the difference of their expectation values, a generalized Bell's inequality is presented, which is coincided with the prediction of quantum mechanics.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 22:33:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Zheng-Chuan", "" ] ]
quant-ph/0604195
Zheng-Chuan Wang
Zheng-Chuan Wang
The Unitary Transformation in Quantum Teleportation
4 pages, 0 figure
null
10.1088/0253-6102/46/5/018
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quant-ph
null
In the well known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver can not transform the state of his particle into an exact replica of the unknown state which the sender want to transfer if he have not a proper implementation of these unitary transformations. In the procedure of converting state, the inevitable coupling between EPR particle and environment which is needed by the implementation of unitary transformations will reduce the accuracy of the replica.
[ { "version": "v1", "created": "Wed, 26 Apr 2006 22:44:07 GMT" } ]
2015-06-26T00:00:00
[ [ "Wang", "Zheng-Chuan", "" ] ]
quant-ph/0604196
Zheng-Chuan Wang
Zheng-Chuan Wang
The Role of Detector in Which-Way Experiment
replacement
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null
null
quant-ph
null
I will replace this manuscript by a new paper
[ { "version": "v1", "created": "Wed, 26 Apr 2006 22:54:02 GMT" }, { "version": "v2", "created": "Wed, 30 Jan 2013 00:51:13 GMT" } ]
2013-01-31T00:00:00
[ [ "Wang", "Zheng-Chuan", "" ] ]
quant-ph/0604197
Sanjeev Naguleswaran
Ian Fuss, Langord B. White, Peter J. Sherman and Sanjeev Naguleswaran
Momentum Dynamics of One Dimensional Quantum Walks
Typos corrected
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null
null
quant-ph
null
We derive the momentum space dynamic equations and state functions for one dimensional quantum walks by using linear systems and Lie group theory. The momentum space provides an analytic capability similar to that contributed by the z transform in discrete systems theory. The state functions at each time step are expressed as a simple sum of three Chebyshev polynomials. The functions provide an analytic expression for the development of the walks with time.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 02:05:15 GMT" }, { "version": "v2", "created": "Wed, 24 May 2006 07:06:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Fuss", "Ian", "" ], [ "White", "Langord B.", "" ], [ "Sherman", "Peter J.", "" ], [ "Naguleswaran", "Sanjeev", "" ] ]
quant-ph/0604198
Chi-Hang Fred Fung
David Shirokoff, Chi-Hang Fred Fung, and Hoi-Kwong Lo
Discrete Rotational Symmetry and Quantum Key Distribution Protocols
7 pages
Phys. Rev. A 75, 032341 (2007)
10.1103/PhysRevA.75.032341
null
quant-ph
null
We study the role of discrete rotational symmetry in quantum key distribution by generalizing the well-known Bennett-Brassard 1984 (BB84) and Scarani-Acin-Ribordy-Gisin 2004 (SARG04) protocols. We observe that discrete rotational symmetry results in the protocol's invariance to continuous rotations, thus leading to a simplified relation between bit and phase error rates and consequently a straightforward security proof.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 04:30:52 GMT" }, { "version": "v2", "created": "Tue, 12 Sep 2006 14:38:39 GMT" }, { "version": "v3", "created": "Fri, 22 Dec 2006 02:45:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Shirokoff", "David", "" ], [ "Fung", "Chi-Hang Fred", "" ], [ "Lo", "Hoi-Kwong", "" ] ]
quant-ph/0604199
Yaroslav Volovich I
Andrei Khrennikov, Yaroslav Volovich
Energy Levels of "Hydrogen Atom" in Discrete Time Dynamics
accepted for publication in Open Systems & Information Dynamics
null
10.1063/1.2158749
null
quant-ph
null
We analyze dynamical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. In particular we study the problem of discrete energy levels of hydrogen atom. We are able to reconstruct potential which in discrete time formalism leads to energy levels of unperturbed hydrogen atom. We also consider linear energy levels of quantum harmonic oscillator and show how they are produced in the discrete time formalism. More generally, we show that in discrete time formalism finite motion in central potential leads to discrete energy spectrum, the property which is common for quantum mechanical theory. Thus deterministic (but discrete time!) dynamics is compatible with discrete energy levels.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 10:47:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Khrennikov", "Andrei", "" ], [ "Volovich", "Yaroslav", "" ] ]
quant-ph/0604200
Kamal Abodayeh Dr.
T. Barakat and K. Abodayeh
Exact solutions for vibrational levels of the Morse potential via the asymptotic iteration method
null
null
10.1007/s10582-006-0122-6
null
quant-ph
null
Exact solutions for vibrational levels of diatomic molecules via the Morse potential are obtained by means of the asymptotic iteration method. It is shown that, the numerical results for the energy eigenvalues of $^{7}Li_{2}$ are all in excellent agreement with the ones obtained before. Without any loss of generality, other states and molecules could be treated in a similar way.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 10:49:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Barakat", "T.", "" ], [ "Abodayeh", "K.", "" ] ]
quant-ph/0604201
Thomas Marlow
Thomas Marlow
Partial Observers
3 pages
null
null
null
quant-ph
null
We attempt to dissolve the measurement problem using an anthropic principle which allows us to invoke rational observers. We argue that the key feature of such observers is that they are rational (we need not care whether they are `classical' or `macroscopic' for example) and thus, since quantum theory can be expressed as a rational theory of probabilistic inference, the measurement problem is not a problem.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 12:21:01 GMT" }, { "version": "v2", "created": "Fri, 20 Oct 2006 15:09:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Marlow", "Thomas", "" ] ]
quant-ph/0604202
Jean-Yves Thibon
Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon
Unitary invariants of qubit systems
19 pages, 1 figure
Mathematical Structures in Computer Science 17 (2007), 1133-1151
null
null
quant-ph
null
We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this way are explicited and compared to various known entanglement measures. Complete sets of generators are obtained for up to four qubits, and the structure of the invariant algebras is discussed in detail.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 12:53:01 GMT" } ]
2013-02-12T00:00:00
[ [ "Toumazet", "Frederic", "" ], [ "Luque", "Jean-Gabriel", "" ], [ "Thibon", "Jean-Yves", "" ] ]
quant-ph/0604203
Jonathan Hodges
P. Cappellaro, J. S. Hodges, T. F. Havel, D. G. Cory
Principles of Control for Decoherence-Free Subsystems
12 pages, 7 figures
J. Chem. Phys. 125, 044514 (2006)
10.1063/1.2216702
null
quant-ph
null
Decoherence-Free Subsystems (DFS) are a powerful means of protecting quantum information against noise with known symmetry properties. Although Hamiltonians theoretically exist that can implement a universal set of logic gates on DFS encoded qubits without ever leaving the protected subsystem, the natural Hamiltonians that are available in specific implementations do not necessarily have this property. Here we describe some of the principles that can be used in such cases to operate on encoded qubits without losing the protection offered by the DFS. In particular, we show how dynamical decoupling can be used to control decoherence during the unavoidable excursions outside of the DFS. By means of cumulant expansions, we show how the fidelity of quantum gates implemented by this method on a simple two-physical-qubit DFS depends on the correlation time of the noise responsible for decoherence. We further show by means of numerical simulations how our previously introduced "strongly modulating pulses" for NMR quantum information processing can permit high-fidelity operations on multiple DFS encoded qubits in practice, provided that the rate at which the system can be modulated is fast compared to the correlation time of the noise. The principles thereby illustrated are expected to be broadly applicable to many implementations of quantum information processors based on DFS encoded qubits.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 18:33:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Cappellaro", "P.", "" ], [ "Hodges", "J. S.", "" ], [ "Havel", "T. F.", "" ], [ "Cory", "D. G.", "" ] ]
quant-ph/0604204
Qing Chen
Qing Chen, Jianhua Cheng, Ke-Lin Wang, Jiangfeng Du
Repeat-Until-Success Generation of Symmetric States without External Control
4 pages, 2 figures
null
null
null
quant-ph
null
In the present paper, we propose a "repeat-until-success" scheme induced by single particle measurement to generate arbitrary symmetric states based on spin network. This protocol requires no modulated controls during the whole process and it provides a persistent approach towards the desired symmetric state. As a special case, we demonstrate that W state can be created with unit probability within this framework.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 15:23:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Qing", "" ], [ "Cheng", "Jianhua", "" ], [ "Wang", "Ke-Lin", "" ], [ "Du", "Jiangfeng", "" ] ]
quant-ph/0604205
Zbigniew Idziaszek
Zbigniew Idziaszek, Tommaso Calarco
Analytical solutions for the dynamics of two trapped interacting ultracold atoms
RevTeX, 15 pages, 15 figures
Phys. Rev. A 74, 022712 (2006)
10.1103/PhysRevA.74.022712
null
quant-ph
null
We discuss exact solutions of the Schroedinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometries of the trapping potential, in particular we study the properties of eigenenergies and eigenfunctions for quasi-one- and quasi-two-dimensional traps. We show that the quasi-one- and the quasi-two-dimensional regimes for two atoms can be already realized in the traps with moderately large (or small) ratios of the trapping frequencies in the axial and the transverse directions. Finally, we apply our theory to Feshbach resonances for trapped atoms. Introducing in our description an energy-dependent scattering length we calculate analytically the eigenenergies for two trapped atoms in the presence of a Feshbach resonance.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 15:25:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Idziaszek", "Zbigniew", "" ], [ "Calarco", "Tommaso", "" ] ]
quant-ph/0604206
Mary Beth Ruskai
Mary Beth Ruskai
Another Short and Elementary Proof of Strong Subadditivity of Quantum Entropy
The proof given here is short and more elementary that in either quant-ph/0404126 or quant-ph/0408130. The style is intended to be suitable to classroom presentation. For a Much More Complicated approach, see Section 6 of quant-ph/0506196
Reports on Mathematical Physics 60, 1-12 (2007).
10.1016/S0034-4877(07)00019-5
null
quant-ph
null
A short and elementary proof of the joint convexity of relative entropy is presented, using nothing beyond linear algebra. The key ingredients are an easily verified integral representation and the strategy used to prove the Cauchy-Schwarz inequality in elementary courses. Several consequences are proved in a way which allow an elementary proof of strong subadditivity in a few more lines. Some expository material on Schwarz inequalities for operators and the Holevo bound for partial measurements is also included.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 18:42:24 GMT" } ]
2016-09-08T00:00:00
[ [ "Ruskai", "Mary Beth", "" ] ]
quant-ph/0604207
Michael Westmoreland
Benjamin Schumacher, Michael D. Westmoreland
Quantum mutual information and the one-time pad
11 pages, LaTeX
null
10.1103/PhysRevA.74.042305
null
quant-ph
null
Alice and Bob share a correlated composite quantum system AB. If AB is used as the key for a one-time pad cryptographic system, we show that the maximum amount of information that Alice can send securely to Bob is the quantum mutual information of AB.
[ { "version": "v1", "created": "Thu, 27 Apr 2006 18:59:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Schumacher", "Benjamin", "" ], [ "Westmoreland", "Michael D.", "" ] ]
quant-ph/0604208
Xiaoyu Chen
Xiao-yu Chen
The characteristic function of optical evolution
10 pages, 3 figures
J. Phys. B: At. Mol. Opt. Phys. 39 (2006)4605-4615
10.1088/0953-4075/39/22/005
null
quant-ph
null
The master equation of quantum optical density operator is transformed to the equation of characteristic function. The parametric amplification and amplitude damping as well as the phase damping are considered. The solution for the most general initial quantum state is obtained for parametric amplification and amplitude damping. The purity of one mode Gaussian system and the entanglement of two mode Gaussian system are studied.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 02:49:10 GMT" }, { "version": "v2", "created": "Thu, 10 Aug 2006 07:04:47 GMT" }, { "version": "v3", "created": "Wed, 16 Aug 2006 00:41:59 GMT" }, { "version": "v4", "created": "Fri, 3 Nov 2006 00:31:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Xiao-yu", "" ] ]
quant-ph/0604209
Yan-Kui Bai
Yan-Kui Bai, Shu-Shen Li, Hou-Zhi Zheng, and Z. D. Wang
Detecting a set of entanglement measures in an unknown tripartite quantum state by local operations and classical communication
16 pages, 2 figures, revtex
Phys. Rev A 74, 022305 (2006)
10.1103/PhysRevA.74.022305
null
quant-ph
null
We propose a more general method for detecting a set of entanglement measures, i.e. negativities, in an \emph{arbitrary} tripartite quantum state by local operations and classical communication. To accomplish the detection task using this method, three observers, Alice, Bob and Charlie, do not need to perform the partial transposition maps by the structural physical approximation; instead, they are only required to collectively measure some functions via three local networks supplemented by a classical communication. With these functions, they are able to determine the set of negativities related to the tripartite quantum state.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 14:55:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Bai", "Yan-Kui", "" ], [ "Li", "Shu-Shen", "" ], [ "Zheng", "Hou-Zhi", "" ], [ "Wang", "Z. D.", "" ] ]
quant-ph/0604210
Rahul Bijurkar
Rahul Bijurkar
Representation of Qudits on a Riemann Sphere
6 pages, General derivation added
null
null
null
quant-ph
null
In quantum computation and information science, the geometrical representations based on the Bloch sphere representation for transformations of two state systems have been traditionally used. While this representation is very useful for the two state qubit, it cannot be generalized easily to multiple states like that of qudits and when it is generalized, it looses its simple geometrical representation. This paper proposes the use of an alternative representation in quantum information and computation for qubits as well as qudits based on the Majorana representation on the Riemann Sphere, which preserves the simple sphere representation.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 15:11:16 GMT" }, { "version": "v2", "created": "Tue, 20 Mar 2007 07:21:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Bijurkar", "Rahul", "" ] ]
quant-ph/0604211
Jeroen van Houwelingen
J.A.W. van Houwelingen, A. Beveratos, N. Brunner, N. Gisin and H. Zbinden
Experimental Quantum Teleportation with a 3-Bell-state Analyzer
11 pages, 14 figures
Phys. Rev. A 74, 022303 (2006)
10.1103/PhysRevA.74.022303
null
quant-ph
null
We present a Bell-state analyzer for time-bin qubits allowing the detection of three out of four Bell-states with linear optics, two detectors and no auxiliary photons. The theoretical success rate of this scheme is 50%. A teleportation experiment was performed to demonstrate its functionality. We also present a teleportation experiment with a Fidelity larger than the cloning limit of F=5/6.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 16:02:50 GMT" } ]
2009-11-13T00:00:00
[ [ "van Houwelingen", "J. A. W.", "" ], [ "Beveratos", "A.", "" ], [ "Brunner", "N.", "" ], [ "Gisin", "N.", "" ], [ "Zbinden", "H.", "" ] ]
quant-ph/0604212
Aurelian Isar
A. Isar
Purity of states in the theory of open quantum systems
17 pages
Romanian Journal of Physics, Vol. 43, No. 7-8, p. 481 (1998)
null
null
quant-ph
null
The condition of purity of states for a damped harmonic oscillator is considered in the framework of Lindblad theory for open quantum systems. For a special choice of the environment coefficients, the correlated coherent states are shown to be the only states which remain pure all the time during the evolution of the considered system. These states are also the most stable under evolution in the presence of the environment.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 16:11:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Isar", "A.", "" ] ]
quant-ph/0604213
Gennady Berman
G.P. Berman and A.A. Chumak
Photon Distribution Function for Long-Distance Propagation of Partially Coherent Beams through the Turbulent Atmosphere
28 pages, 4 figures
null
10.1103/PhysRevA.74.013805
LAUR-06-1605
quant-ph
null
The photon density operator function is used to calculate light beam propagation through turbulent atmosphere. A kinetic equation for the photon distribution function is derived and solved using the method of characteristics. Optical wave correlations are described in terms of photon trajectories that depend on fluctuations of the refractive index. It is shown that both linear and quadratic disturbances produce sizable effects for long-distance propagation. The quadratic terms are shown to suppress the correlation of waves with different wave vectors. We examine the intensity fluctuations of partially coherent beams (beams whose initial spatial coherence is partially destroyed). Our calculations show that it is possible to significantly reduce the intensity fluctuations by using a partially coherent beam. The physical mechanism responsible for this pronounced reduction is similar to that of the Hanbury-Braun, Twiss effect.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 16:19:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Berman", "G. P.", "" ], [ "Chumak", "A. A.", "" ] ]
quant-ph/0604214
N. M. Chase
N. M. Chase
Wave-Particle Fluctuations, Coherence, and Bose-Einstein Condensation
null
null
null
null
quant-ph
null
By extending Einstein's separation of wave and particle parts of the second order thermal fluctuation to encompass "generalized fluctuations" in any Bose field, P. E. Gordon has proposed alternative definitions for nth order coherence and nth order coherent states. The main point of this paper is to explore some of the physical insights to be gained by extending dualism to higher orders. Recent experiments have examined aspects of the coherence of Bose-Einstein condensates. It has been argued that the condensate state is coherent to (at least) second or third order, but the coherence properties of Bose-Einstein condensates remain somewhat controversial. Using probability distributions developed by M. O. Scully and V. V. Kocharovsky et. al., we apply Gordon's dualistic expression of the coherence conditions to investigate coherence properties in Bose-Einstein condensation. Via numerical calculations, we present a graphical survey of wave-like and particle-like fluctuations in condensed and uncondensed fractions. Near the critical point, we find a very marked peak in the ratio of nth order wave to nth order particle fluctuations in the condensate. Not surprisingly, n-point correlations between the positions of condensate atoms also peak near the critical temperature, and this apparently mirrors, to higher orders, the well-known relation between the integral of the 2-point correlation function over a certain volume and the rms fluctuation in the number of particles in that volume.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 17:23:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Chase", "N. M.", "" ] ]
quant-ph/0604215
Marco Roncaglia
L. Campos Venuti, C. Degli Esposti Boschi and M. Roncaglia
Long-distance entanglement in spin systems
RevTex, 5 pages, 7 .eps figures Two references added in published version
Phys. Rev. Lett. 96, 247206 (2006)
10.1103/PhysRevLett.96.247206
null
quant-ph cond-mat.str-el
null
Most quantum system with short-ranged interactions show a fast decay of entanglement with the distance. In this Letter, we focus on the peculiarity of some systems to distribute entanglement between distant parties. Even in realistic models, like the spin-1 Heisenberg chain, sizable entanglement is present between arbitrarily distant particles. We show that long distance entanglement appears for values of the microscopic parameters which do not coincide with known quantum critical points, hence signaling a transition detected only by genuine quantum correlations.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 17:28:42 GMT" }, { "version": "v2", "created": "Tue, 2 May 2006 14:52:21 GMT" }, { "version": "v3", "created": "Mon, 26 Jun 2006 11:12:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Venuti", "L. Campos", "" ], [ "Boschi", "C. Degli Esposti", "" ], [ "Roncaglia", "M.", "" ] ]
quant-ph/0604216
Samuel Portmann
Samuel Portmann, Adrian Wuethrich
Minimal Assumption Derivation of a weak Clauser-Horne Inequality
25 pages, 3 figures
Studies In History and Philosophy of Science Part B: Studies In History and Philosophy of Modern Physics 38(4), 844-862 (2007)
10.1016/j.shpsb.2007.02.002
null
quant-ph
null
According to Bell's theorem a large class of hidden-variable models obeying Bell's notion of local causality conflict with the predictions of quantum mechanics. Recently, a Bell-type theorem has been proven using a weaker notion of local causality, yet assuming the existence of perfectly correlated event types. Here we present a similar Bell-type theorem without this latter assumption. The derived inequality differs from the Clauser-Horne inequality by some small correction terms, which render it less constraining.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 19:21:21 GMT" } ]
2012-03-05T00:00:00
[ [ "Portmann", "Samuel", "" ], [ "Wuethrich", "Adrian", "" ] ]
quant-ph/0605001
Marco Piani
A. Miranowicz, M. Piani, P. Horodecki, R. Horodecki
Inseparability criteria based on matrices of moments
11 pages; shortened version, introduction improved, accepted for publication in PRA
Phys. Rev. A 80, 052303 (2009).
10.1103/PhysRevA.80.052303
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Inseparability criteria for continuous and discrete bipartite quantum states based on moments of annihilation and creation operators are studied by developing the idea of Shchukin-Vogel criterion [Phys. Rev. Lett. {\bf 95}, 230502 (2005)]. If a state is separable, then the corresponding matrix of moments is separable too. Thus, we derive generalized criteria, based on the separability properties of the matrix of moments, are thus derived. In particular, a new criterion based on realignment of moments in the matrix is proposed as an analogue of the standard realignment criterion for density matrices. Other inseparability inequalities are obtained by applying positive maps to the matrix of moments. Usefulness of the Shchukin-Vogel criterion to describe bipartite-entanglement of more than two modes is demonstrated: We obtain some previously known three-mode inseparability criteria originally derived from the Cauchy-Schwarz inequality, and we introduce new ones.
[ { "version": "v1", "created": "Mon, 1 May 2006 18:47:23 GMT" }, { "version": "v2", "created": "Wed, 18 Oct 2006 17:38:43 GMT" }, { "version": "v3", "created": "Wed, 7 Oct 2009 11:49:23 GMT" } ]
2009-11-04T00:00:00
[ [ "Miranowicz", "A.", "" ], [ "Piani", "M.", "" ], [ "Horodecki", "P.", "" ], [ "Horodecki", "R.", "" ] ]
quant-ph/0605002
Aziz Kolkiran
Aziz Kolkiran and G. S. Agarwal
Towards Heisenberg Limit in Magnetometry with Parametric Down Converted Photons
4.2 pages, 6 figures
Phys. Rev. A 74, 053810 (2006)
10.1103/PhysRevA.74.053810
null
quant-ph
null
Recent theoretical and experimental papers have shown how one can achieve Heisenberg limited measurements by using entangled photons. Here we show how the photons in non-collinear down conversion process can be used for improving the sensitivity of magneto-optical rotation by a factor of four which takes us towards the Heisenberg limit. Our results apply to sources with arbitrary pumping. We also present several generalizations of earlier results for the collinear geometry. The sensitivity depends on whether the two-photon or four-photon coincidence detection is used.
[ { "version": "v1", "created": "Fri, 28 Apr 2006 22:26:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Kolkiran", "Aziz", "" ], [ "Agarwal", "G. S.", "" ] ]
quant-ph/0605003
Rubens Ramos Viana
Rubens Viana Ramos, Paulo Benicio de Sousa and David Sena Oliveira
Solving mathematical problems with quantum search algorithm
9 pages, 6 figures
null
null
null
quant-ph
null
Quantum computation has attracted much attention since it was shown by Shor and Grover the possibility to implement quantum algorithms able to realize, respectively, factoring and searching in a faster way than any other known classical algorithm. It is possible to use Grover algorithm, taking profit of its ability to find a specific value in a unordered database, to find, for example, the zero of a logical function; the minimal or maximal value in a database or to recognize if an odd number is prime or not. Here we show quantum algorithms to solve those cited mathematical problems. The solution requires the use of a quantum bit string comparator being used as oracle. This quantum circuit compares two quantum states and identifies if they are equal or, otherwise, which of them is the largest. Moreover, we also show the quantum bit string comparator allow us to implement conditional statements in quantum computation, a fundamental structure for designing of algorithms.
[ { "version": "v1", "created": "Sat, 29 Apr 2006 00:02:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Ramos", "Rubens Viana", "" ], [ "de Sousa", "Paulo Benicio", "" ], [ "Oliveira", "David Sena", "" ] ]
quant-ph/0605004
Samuel J. Lomonaco jr
Samuel J. Lomonaco, Jr., and Louis H. Kauffman
Topological Quantum Computing and the Jones Polynomial
19 pages, 27 figures
null
10.1117/12.665361
null
quant-ph
null
In this paper, we give a description of a recent quantum algorithm created by Aharonov, Jones, and Landau for approximating the values of the Jones polynomial at roots of unity of the form exp(2$\pi$i/k). This description is given with two objectives in mind. The first is to describe the algorithm in such a way as to make explicit the underlying and inherent control structure. The second is to make this algorithm accessible to a larger audience.
[ { "version": "v1", "created": "Sat, 29 Apr 2006 16:40:41 GMT" } ]
2012-08-27T00:00:00
[ [ "Lomonaco,", "Samuel J.", "Jr." ], [ "Kauffman", "Louis H.", "" ] ]
quant-ph/0605005
Kimball A. Milton
Iver Brevik, Simen A. Ellingsen and Kimball A. Milton
Thermal corrections to the Casimir effect
21 pages, 9 eps figures, uses iopart.cls. Final version to be published in New Journal of Physics, contains Conclusion and clarified remarks
New J.Phys.8:236,2006
10.1088/1367-2630/8/10/236
null
quant-ph hep-th
null
The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The forces between dielectric and metallic surfaces both plane and curved have been measured at the 10 to 1 percent level in a variety of room-temperature experiments, and remarkable agreement with the zero-temperature theory has been achieved. In fitting the data various corrections due to surface roughness, patch potentials, curvature, and temperature have been incorporated. It is the latter that is the subject of the present article. We point out that, in fact, no temperature dependence has yet been detected, and that the experimental situation is still too fluid to permit conclusions about thermal corrections to the Casimir effect. Theoretically, there are subtle issues concerning thermodynamics and electrodynamics which have resulted in disparate predictions concerning the nature of these corrections. However, a general consensus has seemed to emerge that suggests that the temperature correction to the Casimir effect is relatively large, and should be observable in future experiments involving surfaces separated at the few micrometer scale.
[ { "version": "v1", "created": "Sat, 29 Apr 2006 21:30:03 GMT" }, { "version": "v2", "created": "Tue, 2 May 2006 14:18:02 GMT" }, { "version": "v3", "created": "Mon, 22 May 2006 19:58:35 GMT" }, { "version": "v4", "created": "Thu, 6 Jul 2006 22:28:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Brevik", "Iver", "" ], [ "Ellingsen", "Simen A.", "" ], [ "Milton", "Kimball A.", "" ] ]
quant-ph/0605006
Jian Wang
Jian Wang, Quan Zhang, Chao-jing Tang
Multiparty simultaneous quantum identity authentication based on entanglement swapping
null
Chin. Phys. Lett., 2006, 23(9):2360-2363
10.1088/0256-307X/23/9/004
null
quant-ph
null
We present a multiparty simultaneous quantum identity authentication protocol based on entanglement swapping. In our protocol, the multi-user can be authenticated by a trusted third party simultaneously.
[ { "version": "v1", "created": "Sun, 30 Apr 2006 04:27:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Jian", "" ], [ "Zhang", "Quan", "" ], [ "Tang", "Chao-jing", "" ] ]
quant-ph/0605007
I. Boztosun
F. Yasuk, I. Boztosun and A. Durmus
Orthogonal polynomial solutions to the non-central modified Kratzer potential
New sections are added
null
null
null
quant-ph math-ph math.MP
null
We investigate the analytical solution of a new exactly solvable non-central potential of $V(r,\theta) = D({\frac{r - a}{r}})^2+{\frac{\beta}{r^2\sin^2 \theta}}+{\frac{\gamma \cos \theta}{r^2\sin^2 \theta}}$ type, which may be called as the modified non-central Kratzer potential. The energy eigenvalues as well as the corresponding eigenfunctions are calculated for various values of $n$ and $m$ quantum numbers within the framework of the Nikiforov-Uvarov and Asymtotic Iteration Methods for the $CO$ diatomic molecule as an application of this potential. In this paper, we first present the effect of the non-central term on the bound-state energy eigenvalues: this effect is determined explicitly for different $n$ and $m$ quantum numbers with $\beta=\gamma$=0.0, 0.1, 1.0 and 5.0 values and the results are compared with the findings of the modified Kratzer potential for different $n$ and $l$ quantum numbers. Then, we show that the angle-dependent non-central part behaves like a centrifugal barrier and it reduces the depth of the attractive potential pocket, which effects the bound-state energy eigenvalues.
[ { "version": "v1", "created": "Sun, 30 Apr 2006 14:58:44 GMT" }, { "version": "v2", "created": "Thu, 14 Sep 2006 23:51:46 GMT" }, { "version": "v3", "created": "Sun, 11 Feb 2007 16:53:57 GMT" } ]
2009-09-29T00:00:00
[ [ "Yasuk", "F.", "" ], [ "Boztosun", "I.", "" ], [ "Durmus", "A.", "" ] ]
quant-ph/0605008
Joseph Henson
David Craig, Fay Dowker, Joe Henson, Seth Major, David Rideout and Rafael D. Sorkin
A Bell Inequality Analog in Quantum Measure Theory
38 pages, TeX. Several changes and added comments to bring out the meaning more clearly. Minor rewording and extra acknowledgements, now closer to published version
J.Phys.A40:501-523,2007
10.1088/1751-8113/40/3/010
null
quant-ph gr-qc
null
One obtains Bell's inequalities if one posits a hypothetical joint probability distribution, or {\it measure}, whose marginals yield the probabilities produced by the spin measurements in question. The existence of a joint measure is in turn equivalent to a certain causality condition known as ``screening off''. We show that if one assumes, more generally, a joint {\it quantal measure}, or ``decoherence functional'', one obtains instead an analogous inequality weaker by a factor of $\sqrt{2}$. The proof of this ``Tsirel'son inequality'' is geometrical and rests on the possibility of associating a Hilbert space to any strongly positive quantal measure. These results lead both to a {\it question}: ``Does a joint measure follow from some quantal analog of `screening off'?'', and to the {\it observation} that non-contextual hidden variables are viable in histories-based quantum mechanics, even if they are excluded classically.
[ { "version": "v1", "created": "Sun, 30 Apr 2006 15:52:18 GMT" }, { "version": "v2", "created": "Thu, 6 Jul 2006 05:50:29 GMT" }, { "version": "v3", "created": "Mon, 11 Dec 2006 14:46:15 GMT" } ]
2010-04-14T00:00:00
[ [ "Craig", "David", "" ], [ "Dowker", "Fay", "" ], [ "Henson", "Joe", "" ], [ "Major", "Seth", "" ], [ "Rideout", "David", "" ], [ "Sorkin", "Rafael D.", "" ] ]
quant-ph/0605009
Dennis Kretschmann
Dennis Kretschmann, Dirk Schlingemann, Reinhard F. Werner
The Information-Disturbance Tradeoff and the Continuity of Stinespring's Representation
18 pages, 2 eps figures
null
null
null
quant-ph
null
Stinespring's dilation theorem is the basic structure theorem for quantum channels: it states that any quantum channel arises from a unitary evolution on a larger system. Here we prove a continuity theorem for Stinespring's dilation: if two quantum channels are close in cb-norm, then it is always possible to find unitary implementations which are close in operator norm, with dimension-independent bounds. This result generalizes Uhlmann's theorem from states to channels and allows to derive a formulation of the information-disturbance tradeoff in terms of quantum channels, as well as a continuity estimate for the no-broadcasting theorem. We briefly discuss further implications for quantum cryptography, thermalization processes, and the black hole information loss puzzle.
[ { "version": "v1", "created": "Sun, 30 Apr 2006 18:58:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Kretschmann", "Dennis", "" ], [ "Schlingemann", "Dirk", "" ], [ "Werner", "Reinhard F.", "" ] ]
quant-ph/0605010
Olivier Landry
Olivier Landry, J.A.W. van Houwelingen, Alexios Beveratos, Hugo Zbinden, and Nicolas Gisin
Quantum teleportation over the Swisscom telecommunication network
6 pages, 7 figures, updated references on May 3rd. To be published in Journal of the Optical Society of America B, Feature issue "Optical Quantum-Information Science", February 2007
J. Opt. Soc. Am. B vol. 24 no. 2 (2007) page 398
10.1364/JOSAB.24.000398
null
quant-ph
null
We present a quantum teleportation experiment in the quantum relay configuration using the installed telecommunication network of Swisscom. In this experiment, the Bell state measurement occurs well after the entanglement has been distributed, at a point where the photon upon which data is teleported is already far away, and the entangled qubits are photons created from a different crystal and laser pulse than the teleported qubit. A raw fidelity of 0.93+/-0.04 has been achieved using a heralded single-photon source.
[ { "version": "v1", "created": "Mon, 1 May 2006 08:54:39 GMT" }, { "version": "v2", "created": "Wed, 3 May 2006 12:39:52 GMT" } ]
2015-06-26T00:00:00
[ [ "Landry", "Olivier", "" ], [ "van Houwelingen", "J. A. W.", "" ], [ "Beveratos", "Alexios", "" ], [ "Zbinden", "Hugo", "" ], [ "Gisin", "Nicolas", "" ] ]
quant-ph/0605011
Yehonatan Knoll
Yehonatan Knoll and Irad Yavneh
Coupled wave-particle dynamics as a possible ontology behind Quantum Mechanics and long-range interactions
Withdrawn. See arXiv:0902.4606v1
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The preliminary ideas presented in this paper have been fully developed in arXiv:0902.4606v1 .
[ { "version": "v1", "created": "Mon, 1 May 2006 14:48:10 GMT" }, { "version": "v2", "created": "Mon, 29 May 2006 13:53:01 GMT" }, { "version": "v3", "created": "Sun, 1 Mar 2009 15:40:23 GMT" } ]
2009-03-01T00:00:00
[ [ "Knoll", "Yehonatan", "" ], [ "Yavneh", "Irad", "" ] ]
quant-ph/0605012
Santosh Pisharody
J. M. Murray, S. N. Pisharody, H. Wen, C. Rangan, P. H. Bucksbaum
Information hiding and retrieval in Rydberg wave packets using half-cycle pulses
4 pages, 4 figures
null
10.1103/PhysRevA.74.043402
null
quant-ph
null
We demonstrate an information hiding and retrieval scheme with the relative phases between states in a Rydberg wave packet acting as the bits of a data register. We use a terahertz half-cycle pulse (HCP) to transfer phase-encoded information from an optically accessible angular momentum manifold to another manifold which is not directly accessed by our laser pulses, effectively hiding the information from our optical interferometric measurement techniques. A subsequent HCP acting on these wave packets reintroduces the information back into the optically accessible data register manifold which can then be `read' out.
[ { "version": "v1", "created": "Mon, 1 May 2006 19:45:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Murray", "J. M.", "" ], [ "Pisharody", "S. N.", "" ], [ "Wen", "H.", "" ], [ "Rangan", "C.", "" ], [ "Bucksbaum", "P. H.", "" ] ]
quant-ph/0605013
Anil Shaji
Sergio Boixo, Carlton M. Caves, Animesh Datta, Anil Shaji
On Decoherence in Quantum Clock Synchronization
12 Pages, 3 Figures
Laser Physics, 16, 1525 (2006). Special Issue on Quantum Information and Quantum Computation.
10.1134/S1054660X06110065
null
quant-ph
null
We study two quantum versions of the Eddington clock-synchronization protocol in the presence of decoherence. The first protocol uses maximally entangled states to achieve the Heisenberg limit for clock synchronization. The second protocol achieves the limit without using entanglement. We show the equivalence of the two protocols under any single-qubit decoherence model that does not itself provide synchronization information.
[ { "version": "v1", "created": "Mon, 1 May 2006 20:00:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Boixo", "Sergio", "" ], [ "Caves", "Carlton M.", "" ], [ "Datta", "Animesh", "" ], [ "Shaji", "Anil", "" ] ]
quant-ph/0605014
Konrad Kieling
D. Gross, K. Kieling, J. Eisert
Potential and limits to cluster state quantum computing using probabilistic gates
18 pages, 10 figures, replaced with published version
Phys. Rev. A 74, 042343 (2006)
10.1103/PhysRevA.74.042343
null
quant-ph
null
We establish bounds to the necessary resource consumption when building up cluster states for one-way computing using probabilistic gates. Emphasis is put on state preparation with linear optical gates, as the probabilistic character is unavoidable here. We identify rigorous general bounds to the necessary consumption of initially available maximally entangled pairs when building up one-dimensional cluster states with individually acting linear optical quantum gates, entangled pairs and vacuum modes. As the known linear optics gates have a limited maximum success probability, as we show, this amounts to finding the optimal classical strategy of fusing pieces of linear cluster states. A formal notion of classical configurations and strategies is introduced for probabilistic non-faulty gates. We study the asymptotic performance of strategies that can be simply described, and prove ultimate bounds to the performance of the globally optimal strategy. The arguments employ methods of random walks and convex optimization. This optimal strategy is also the one that requires the shortest storage time, and necessitates the fewest invocations of probabilistic gates. For two-dimensional cluster states, we find, for any elementary success probability, an essentially deterministic preparation of a cluster state with quadratic, hence optimal, asymptotic scaling in the use of entangled pairs. We also identify a percolation effect in state preparation, in that from a threshold probability on, almost all preparations will be either successful or fail. We outline the implications on linear optical architectures and fault-tolerant computations.
[ { "version": "v1", "created": "Mon, 1 May 2006 20:00:26 GMT" }, { "version": "v2", "created": "Wed, 7 Mar 2007 12:16:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Gross", "D.", "" ], [ "Kieling", "K.", "" ], [ "Eisert", "J.", "" ] ]
quant-ph/0605015
Kurt Jacobs
Kurt Jacobs
Applications of Feedback Control in Quantum Systems
Plenary paper for ASCC06. Gives an introductory review of the field
Proceedings of the 6th Asian Control Conference, p. 35 (2006)
null
null
quant-ph
null
We give an introduction to feedback control in quantum systems, as well as an overview of the variety of applications which have been explored to date. This introductory review is aimed primarily at control theorists unfamiliar with quantum mechanics, but should also be useful to quantum physicists interested in applications of feedback control. We explain how feedback in quantum systems differs from that in traditional classical systems, and how in certain cases the results from modern optimal control theory can be applied directly to quantum systems. In addition to noise reduction and stabilization, an important application of feedback in quantum systems is adaptive measurement, and we discuss the various applications of adaptive measurements. We finish by describing specific examples of the application of feedback control to cooling and state-preparation in nano-electro-mechanical systems and single trapped atoms.
[ { "version": "v1", "created": "Tue, 2 May 2006 17:11:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Jacobs", "Kurt", "" ] ]
quant-ph/0605016
Xingxiang Zhou
Xingxiang Zhou and Ari Mizel
Quantum manipulation and simulation using Josephson junction arrays
null
Physica C 432, 59 (2005)
10.1016/j.physc.2005.07.010
null
quant-ph
null
We discuss the prospect of using quantum properties of large scale Josephson junction arrays for quantum manipulation and simulation. We study the collective vibrational quantum modes of a Josephson junction array and show that they provide a natural and practical method for realizing a high quality cavity for superconducting qubit based QED. We further demonstrate that by using Josephson junction arrays we can simulate a family of problems concerning spinless electron-phonon and electron-electron interactions. These protocols require no or few controls over the Josephson junction array and are thus relatively easy to realize given currently available technology.
[ { "version": "v1", "created": "Mon, 1 May 2006 21:03:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhou", "Xingxiang", "" ], [ "Mizel", "Ari", "" ] ]
quant-ph/0605017
Xingxiang Zhou
Xingxiang Zhou and Ari Mizel
Nonlinear coupling of nano mechanical resonators to Josephson quantum circuits
null
null
10.1103/PhysRevLett.97.267201
null
quant-ph
null
We propose a technique to couple the position operator of a nano mechanical resonator to a SQUID device by modulating its magnetic flux bias. By tuning the magnetic field properly, either linear or quadratic couplings can be realized, with a discretely adjustable coupling strength. This provides a way to realize coherent nonlinear effects in a nano mechanical resonator by coupling it to a Josephson quantum circuit. As an example, we show how squeezing of the nano mechanical resonator state can be realized with this technique. We also propose a simple method to measure the uncertainty in the position of the nano mechanical resonator without quantum state tomography.
[ { "version": "v1", "created": "Mon, 1 May 2006 21:10:02 GMT" } ]
2015-06-26T00:00:00
[ [ "Zhou", "Xingxiang", "" ], [ "Mizel", "Ari", "" ] ]
quant-ph/0605018
Dragomir Z. Djokovic
Dragomir Z. Djokovic
Poincare series for local unitary invariants of mixed states of the qubit-qutrit system
5 pages, no figures
null
null
null
quant-ph
null
We consider the mixed states of the bipartite quantum system with the first party a qubit and the second a qutrit. The group of local unitary transformations of the system, ignoring the overall phase factor, is the direct product G of SU(2) and SU(3). We compute the simply graded Poincare series of the algebra of G-invariant polynomial functions on the set of mixed states of the system, and construct several low degree invariants.
[ { "version": "v1", "created": "Mon, 1 May 2006 22:11:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Djokovic", "Dragomir Z.", "" ] ]
quant-ph/0605019
Farhan Saif
Farhan Saif
Nature of quantum recurrences in coupled higher dimensional systems
null
null
10.1140/epjd/e2006-00091-5
null
quant-ph
null
We investigate recurrence phenomena in coupled two degrees of freedom systems. It is shown that an initial well localized wave packet displays recurrences even in the presence of coupling in these systems. We discuss the interdependence of these time scales namely, classical period and quantum revival time, and explain significance of initial conditions.
[ { "version": "v1", "created": "Mon, 1 May 2006 22:41:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Saif", "Farhan", "" ] ]
quant-ph/0605020
Dominic Meiser
D. Meiser, P. Meystre
The Super-Strong Coupling Regime of Cavity Quantum Electrodynamics
Figures rearranged and introduction rewritten
null
10.1103/PhysRevA.74.065801
null
quant-ph cond-mat.other physics.atom-ph
null
We describe a qualitatively new regime of cavity quantum electrodynamics, the super strong coupling regime. This regime is characterized by atom-field coupling strengths of the order of the free spectral range of the cavity, resulting in a significant change in the spatial mode functions of the light field. It can be reached in practice for cold atoms trapped in an optical dipole potential inside the resonator. We present a nonperturbative scheme that allows us to calculate the frequencies and linewidths of the modified field modes, thereby providing a good starting point for a quantization of the theory.
[ { "version": "v1", "created": "Tue, 2 May 2006 01:06:10 GMT" }, { "version": "v2", "created": "Thu, 8 Jun 2006 23:43:51 GMT" }, { "version": "v3", "created": "Fri, 7 Jul 2006 20:54:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Meiser", "D.", "" ], [ "Meystre", "P.", "" ] ]
quant-ph/0605021
Tohya Hiroshima
Tohya Hiroshima, Gerardo Adesso, and Fabrizio Illuminati
Monogamy inequality for distributed Gaussian entanglement
4 pages, no figures. Several improvements, proof made more transparent, conclusions enriched
Phys. Rev. Lett. 98, 050503 (2007)
10.1103/PhysRevLett.98.050503
null
quant-ph cond-mat.stat-mech math-ph math.MP physics.optics
null
We show that for all n-mode Gaussian states of continuous variable systems, the entanglement shared among n parties exhibits the fundamental monogamy property. The monogamy inequality is proven by introducing the Gaussian tangle, an entanglement monotone under Gaussian local operations and classical communication, which is defined in terms of the squared negativity in complete analogy with the case of n-qubit systems. Our results elucidate the structure of quantum correlations in many-body harmonic lattice systems.
[ { "version": "v1", "created": "Tue, 2 May 2006 02:10:34 GMT" }, { "version": "v2", "created": "Wed, 10 May 2006 10:55:06 GMT" }, { "version": "v3", "created": "Wed, 7 Jun 2006 07:48:31 GMT" }, { "version": "v4", "created": "Wed, 8 Nov 2006 12:20:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Hiroshima", "Tohya", "" ], [ "Adesso", "Gerardo", "" ], [ "Illuminati", "Fabrizio", "" ] ]
quant-ph/0605022
Julius Ruseckas
J. Ruseckas and B. Kaulakys
Quantum Trajectory method for the Quantum Zeno and anti-Zeno effects
12 figures, accepted for publication in Phys. Rev. A replaced with single-spaced version
Phys. Rev. A 73, 052101 (2006)
10.1103/PhysRevA.73.052101
null
quant-ph
null
We perform stochastic simulations of the quantum Zeno and anti-Zeno effects for two level system and for the decaying one. Instead of simple projection postulate approach, a more realistic model of a detector interacting with the environment is used. The influence of the environment is taken into account using the quantum trajectory method. The simulation of the measurement for a single system exhibits the probabilistic behavior showing the collapse of the wave-packet. When a large ensemble is analysed using the quantum trajectory method, the results are the same as those produced using the density matrix method. The results of numerical calculations are compared with the analytical expressions for the decay rate of the measured system and a good agreement is found. Since the analytical expressions depend on the duration of the measurement only, the agreement with the numerical calculations shows that otherparameters of the model are not important.
[ { "version": "v1", "created": "Tue, 2 May 2006 06:51:43 GMT" }, { "version": "v2", "created": "Fri, 5 May 2006 08:47:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Ruseckas", "J.", "" ], [ "Kaulakys", "B.", "" ] ]
quant-ph/0605023
Fu Jian
Jian Fu
Possible approach to improve sensitivity of a Michelson interferometer
8 pages, 3 figures, new version
null
10.1088/0256-307X/24/8/011
null
quant-ph
null
We propose a possible approach to achieve an 1/N sensitivity of Michelson interferometer by using a properly designed random phase modulation. Different from other approaches, the sensitivity improvement does not depend on increasing optical powers or utilizing the quantum properties of light. Moreover the requirements for optical losses and the quantum efficiencies of photodetection systems might be lower than the quantum approaches and the sensitivity improvement is frequency independent in all detection band.
[ { "version": "v1", "created": "Tue, 2 May 2006 08:59:51 GMT" }, { "version": "v2", "created": "Wed, 3 May 2006 07:01:08 GMT" }, { "version": "v3", "created": "Tue, 8 Aug 2006 15:27:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Fu", "Jian", "" ] ]
quant-ph/0605024
Akbar Fahmi Shakib
A. Fahmi
Entanglement-assisted Enhanced Information Transmission Over a Quantum Channel with Correlated Noise; A General Expression
10 pages, 5 eps figure
null
null
null
quant-ph
null
Entanglement and entanglement-assisted are useful resources to enhance the mutual information of the Pauli channels, when the noise on consecutive uses of the channel has some partial correlations. In this paper, We study quantum communication channels with correlated noise and derive a general expression for the mutual information of quantum channel, for the product, maximally entangled state coding and entanglement-assisted systems with correlated noise in the Pauli quantum channels. Hence, we suggest more efficient coding in the entanglement-assisted systems for the transmission of classical information and derive a general expression for the entanglement-assisted classical capacity. Our results show that in the presence of memory, a higher amount of classical information is transmitted by two or four consecutive uses of entanglement-assisted systems.
[ { "version": "v1", "created": "Tue, 2 May 2006 11:26:47 GMT" }, { "version": "v2", "created": "Thu, 4 May 2006 05:24:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Fahmi", "A.", "" ] ]
quant-ph/0605025
Damaskinsky Evgeniy Viktorovich
E.V. Damaskinsky and M.A. Sokolov
Remarks on quantization of Pais-Uhlenbeck oscillators
null
null
10.1088/0305-4470/39/33/017
null
quant-ph
null
This work is concerned with a quantization of the Pais-Uhlenbeck oscillators from the point of view of their multi-Hamiltonian structures. It is shown that the 2n-th order oscillator with a simple spectrum is equivalent to the usual anisotropic n - dimensional oscillator.
[ { "version": "v1", "created": "Tue, 2 May 2006 12:22:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Damaskinsky", "E. V.", "" ], [ "Sokolov", "M. A.", "" ] ]
quant-ph/0605026
Antonio Maria Scarfone
A. Lavagno, A.M. Scarfone, and P. Narayana Swamy
Classical and quantum q-deformed physical systems
9 pages, accepted for publication in "The European Physical Journal C"
Eur.Phys.J.C47:253-261,2006
10.1140/epjc/s2006-02557-y
null
quant-ph cond-mat.other hep-th math.QA
null
On the basis of the non-commutative q-calculus, we investigate a q-deformation of the classical Poisson bracket in order to formulate a generalized q-deformed dynamics in the classical regime. The obtained q-deformed Poisson bracket appears invariant under the action of the q-symplectic group of transformations. In this framework we introduce the q-deformed Hamilton's equations and we derive the evolution equation for some simple q-deformed mechanical systems governed by a scalar potential dependent only on the coordinate variable. It appears that the q-deformed Hamiltonian, which is the generator of the equation of motion, is generally not conserved in time but, in correspondence, a new constant of motion is generated. Finally, by following the standard canonical quantization rule, we compare the well known q-deformed Heisenberg algebra with the algebra generated by the q-deformed Poisson bracket.
[ { "version": "v1", "created": "Tue, 2 May 2006 12:27:41 GMT" } ]
2009-01-07T00:00:00
[ [ "Lavagno", "A.", "" ], [ "Scarfone", "A. M.", "" ], [ "Swamy", "P. Narayana", "" ] ]
quant-ph/0605027
Minh Dung Dang
Minh-Dung Dang
Coin-Flipping-based Quantum Oblivious Transfer
Withdrawal
null
null
null
quant-ph
null
When submitting ``Coin-Flipping-based Quantum Oblivious Transfer'' (quant-ph/0605027v4) to Indocrypt-2006, I received valuable reviews. Due to the attacks in these reviews, my major protocols, for cheat-sensitive and coin-flipping-based 2-1 oblivious transfers, are insecure. I would have withdrawn the paper. But I think I'd rather post the attacks made by the reviewer. Besides, as ``coin-flipping-based 2-1 OT'' is an important case-study in ``Two-party Models and the No-go Theorems'' (quant-ph/0608165), the paper is also touched by the attack. It will be reconsidered, and the case-study will be eliminated from it. I would like to thank the ``anonymous'' reviewer for those valuable attacks and comments.
[ { "version": "v1", "created": "Tue, 2 May 2006 16:25:05 GMT" }, { "version": "v2", "created": "Tue, 9 May 2006 15:50:29 GMT" }, { "version": "v3", "created": "Mon, 26 Jun 2006 14:47:01 GMT" }, { "version": "v4", "created": "Mon, 21 Aug 2006 08:16:19 GMT" }, { "version": "v5", "created": "Tue, 26 Sep 2006 22:00:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Dang", "Minh-Dung", "" ] ]
quant-ph/0605028
Ralph Beil
R. G. Beil
Correspondence of Bell State and One-Particle State Transformations
19 pages, 1 figure
null
null
null
quant-ph
null
There is a direct correspondence between two-particle, entangled quantum states, for example, Bell states, and the relative values of the component one-particle states. This leads to a new rationale for quantum computing which makes use of sequential processing of one-particle states rather than the parallel processing associated with multiparticle states. It is shown that deterministic transformations can correspond to certain Bell state operations. There are some implications for the continuing discussion of quantum realism and entanglement. A principle of relative realism is advocated.
[ { "version": "v1", "created": "Tue, 2 May 2006 16:34:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Beil", "R. G.", "" ] ]
quant-ph/0605029
Roberto Passante
S. Spagnolo, R. Passante and L. Rizzuto
Field fluctuations near a conducting plate and Casimir-Polder forces in the presence of boundary conditions
10 pages
null
10.1103/PhysRevA.73.062117
null
quant-ph
null
We consider vacuum fluctuations of the quantum electromagnetic field in the presence of an infinite and perfectly conducting plate. We evaluate how the change of vacuum fluctuations due to the plate modifies the Casimir-Polder potential between two atoms placed near the plate. We use two different methods to evaluate the Casimir-Polder potential in the presence of the plate. They also give new insights on the role of boundary conditions in the Casimir-Polder interatomic potential, as well as indications for possible generalizations to more complicated boundary conditions.
[ { "version": "v1", "created": "Tue, 2 May 2006 18:48:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Spagnolo", "S.", "" ], [ "Passante", "R.", "" ], [ "Rizzuto", "L.", "" ] ]
quant-ph/0605030
Markus Mueller
Markus Mueller
Strongly Universal Quantum Turing Machines and Invariance of Kolmogorov Complexity
18 pages, 1 figure. The operation R is now really a quantum operation (it was not before); corrected some typos, III.B more readable, Conjecture 3.15 is now a theorem
IEEE Trans. Inf. Th., Vol. 54/2 pp. 763-780 (2008)
10.1109/TIT.2007.913263
null
quant-ph cs.IT math-ph math.IT math.MP
null
We show that there exists a universal quantum Turing machine (UQTM) that can simulate every other QTM until the other QTM has halted and then halt itself with probability one. This extends work by Bernstein and Vazirani who have shown that there is a UQTM that can simulate every other QTM for an arbitrary, but preassigned number of time steps. As a corollary to this result, we give a rigorous proof that quantum Kolmogorov complexity as defined by Berthiaume et al. is invariant, i.e. depends on the choice of the UQTM only up to an additive constant. Our proof is based on a new mathematical framework for QTMs, including a thorough analysis of their halting behaviour. We introduce the notion of mutually orthogonal halting spaces and show that the information encoded in an input qubit string can always be effectively decomposed into a classical and a quantum part.
[ { "version": "v1", "created": "Tue, 2 May 2006 20:27:34 GMT" }, { "version": "v2", "created": "Fri, 11 Aug 2006 14:35:05 GMT" }, { "version": "v3", "created": "Sat, 11 Aug 2007 17:00:35 GMT" } ]
2016-11-18T00:00:00
[ [ "Mueller", "Markus", "" ] ]
quant-ph/0605031
Michael B. Weissman
M. B. Weissman
Irreversibility in Collapse-Free Quantum Dynamics and the Second Law of Thermodynamics
13 pages
null
null
null
quant-ph
null
Proposals to solve the problems of quantum measurement via non-linear CPT-violating modifications of quantum dynamics are argued to provide a possible fundamental explanation for the irreversibility of statistical mechanics as well. The argument is expressed in terms of collapse-free accounts. The reverse picture, in which statistical irreversibility generates quantum irreversibility, is argued to be less satisfactory because it leaves the Born probability rule unexplained.
[ { "version": "v1", "created": "Tue, 2 May 2006 21:13:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Weissman", "M. B.", "" ] ]
quant-ph/0605032
Jae-Seung Lee
Jae-Seung Lee and A. K. Khitrin
Projective measurement in nuclear magnetic resonance
9 pages incluing 3 figures
Appl. Phys. Lett. 89, 074105 (2006)
10.1063/1.2337158
null
quant-ph
null
It is demonstrated that nuclear magnetic resonance experiments using pseudopure spin states can give possible outcomes of projective quantum measurement and probabilities of such outcomes. The physical system is a cluster of six dipolar-coupled nuclear spins of benzene in a liquid-crystalline matrix. For this system with the maximum total spin S=3, the results of measuring $S_X$ are presented for the cases when the state of the system is one of the eigenstates of $S_Z$.
[ { "version": "v1", "created": "Tue, 2 May 2006 21:37:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Lee", "Jae-Seung", "" ], [ "Khitrin", "A. K.", "" ] ]
quant-ph/0605033
Sangchul Oh
Sangchul Oh and Jaewan Kim
Entanglement between qubits induced by a common environment with a gap
accepted for publication in Physical Review A
Phys. Rev. A 73, 062306 (2006)
10.1103/PhysRevA.73.062306
null
quant-ph
null
We study a system of two qubits interacting with a common environment, described by a two-spin boson model. We demonstrate two competing roles of the environment: inducing entanglement between the two qubits and making them decoherent. For the environment of a single harmonic oscillator, if its frequency is commensurate with the induced two-qubit coupling strength, the two qubits could be maximally entangled and the environment could be separable. In the case of the environment of a bosonic bath, the gap of its spectral density function is essential to generate entanglement between two qubits at equilibrium and for it to be used as a quantum data bus.
[ { "version": "v1", "created": "Wed, 3 May 2006 06:29:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Oh", "Sangchul", "" ], [ "Kim", "Jaewan", "" ] ]
quant-ph/0605034
Marek Zukowski
Marek Zukowski
On the Paradoxical Book of Bell
Replacement. The critical missing NOT is put into footnote 1. Note that in the published version NOT is still missing
Stud. Hist. Phil. Mod. Phys. 36, 566 (2005)
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is an essay-review on a recently re-issued book of John Bell "Speakable and Unspeakable in Quantum Mechanics". The discussion concentrates around the Bell Theorem, its assumptions, consequences and frequent overinterpretations.
[ { "version": "v1", "created": "Wed, 3 May 2006 07:45:34 GMT" }, { "version": "v2", "created": "Thu, 22 Jan 2015 21:10:17 GMT" } ]
2015-01-26T00:00:00
[ [ "Zukowski", "Marek", "" ] ]
quant-ph/0605035
Moiseev Sergei Andreevich
S.A.Moiseev
Quantum memory protocol in QED cavity based on Photon echo
5 pages, 1 figure
null
null
null
quant-ph
null
A new protocol of the optical quantum memory based on the resonant interactions of the multi atomic system with a cavity light mode is proposed. The quantum memory is realized using a controllable inversion of the inhomogeneous broadening of the resonant atomic transition and impact interaction (on request) of additional short 2 - laser pulse resonant to an adjacent atomic transition. We demonstrate that the quantum memory protocol is effective for arbitrary storage time and can be used for new quantum manipulations with transient entangled states in the field-atoms evolution. The effect of the fast absorption and emission of the light field is predicted.
[ { "version": "v1", "created": "Wed, 3 May 2006 09:50:06 GMT" }, { "version": "v2", "created": "Thu, 28 Sep 2006 12:25:49 GMT" }, { "version": "v3", "created": "Wed, 4 Oct 2006 13:04:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Moiseev", "S. A.", "" ] ]
quant-ph/0605036
Heinz-Peter Breuer
Heinz-Peter Breuer
Optimal entanglement criterion for mixed quantum states
4 pages, no figures, replaced by published version (minor changes), Journal-reference added
Phys. Rev. Lett. 97, 080501 (2006)
10.1103/PhysRevLett.97.080501
null
quant-ph
null
We develop a strong and computationally simple entanglement criterion. The criterion is based on an elementary positive map Phi which operates on state spaces with even dimension N >= 4. It is shown that Phi detects many entangled states with positive partial transposition (PPT) and that it leads to a class of optimal entanglement witnesses. This implies that there are no other witnesses which can detect more entangled PPT states. The map Phi yields a systematic method for the explicit construction of high-dimensional manifolds of bound entangled states.
[ { "version": "v1", "created": "Wed, 3 May 2006 11:20:10 GMT" }, { "version": "v2", "created": "Tue, 22 Aug 2006 20:21:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Breuer", "Heinz-Peter", "" ] ]
quant-ph/0605037
Marcus Aguiar de
M.V.S. Bonanca and M.A.M. de Aguiar
Quantum Dissipation and Decoherence via Interaction with Low-Dimensional Chaos: a Feynman-Vernon Approach
31 pages, 4 figures
Phys. Rev. A 74 (2006) 12105.
10.1103/PhysRevA.74.012105
null
quant-ph
null
We study the effects of dissipation and decoherence induced on a harmonic oscillator by the coupling to a chaotic system with two degrees of freedom. Using the Feynman-Vernon approach and treating the chaotic system semiclassically we show that the effects of the low dimensional chaotic environment are in many ways similar to those produced by thermal baths. The classical correlation and response functions play important roles in both classical and quantum formulations. Our results are qualitatively similar to the high temperature regime of the Caldeira-Leggett model.
[ { "version": "v1", "created": "Wed, 3 May 2006 12:16:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Bonanca", "M. V. S.", "" ], [ "de Aguiar", "M. A. M.", "" ] ]
quant-ph/0605038
Fedor Jelezko
T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J.R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup
Room temperature coherent control of coupled single spins in solid
null
Nature Physics 2: 408-413 (2006)
10.1038/nphys318
null
quant-ph
null
Coherent coupling between single quantum objects is at the heart of modern quantum physics. When coupling is strong enough to prevail over decoherence, it can be used for the engineering of correlated quantum states. Especially for solid-state systems, control of quantum correlations has attracted widespread attention because of applications in quantum computing. Such coherent coupling has been demonstrated in a variety of systems at low temperature1, 2. Of all quantum systems, spins are potentially the most important, because they offer very long phase memories, sometimes even at room temperature. Although precise control of spins is well established in conventional magnetic resonance3, 4, existing techniques usually do not allow the readout of single spins because of limited sensitivity. In this paper, we explore dipolar magnetic coupling between two single defects in diamond (nitrogen-vacancy and nitrogen) using optical readout of the single nitrogen-vacancy spin states. Long phase memory combined with a defect separation of a few lattice spacings allow us to explore the strong magnetic coupling regime. As the two-defect system was well-isolated from other defects, the long phase memory times of the single spins was not diminished, despite the fact that dipolar interactions are usually seen as undesirable sources of decoherence. A coherent superposition of spin pair quantum states was achieved. The dipolar coupling was used to transfer spin polarisation from a nitrogen-vacancy centre spin to a nitrogen spin, with optical pumping of a nitrogen-vacancy centre leading to efficient initialisation. At the level anticrossing efficient nuclear spin polarisation was achieved. Our results demonstrate an important step towards controlled spin coupling and multi-particle entanglement in the solid state.
[ { "version": "v1", "created": "Wed, 3 May 2006 12:47:09 GMT" } ]
2015-06-26T00:00:00
[ [ "Gaebel", "T.", "" ], [ "Domhan", "M.", "" ], [ "Popa", "I.", "" ], [ "Wittmann", "C.", "" ], [ "Neumann", "P.", "" ], [ "Jelezko", "F.", "" ], [ "Rabeau", "J. R.", "" ], [ "Stavrias", "N.", "" ], [ "Greentree", "A. D.", "" ], [ "Prawer", "S.", "" ], [ "Meijer", "J.", "" ], [ "Twamley", "J.", "" ], [ "Hemmer", "P. R.", "" ], [ "Wrachtrup", "J.", "" ] ]
quant-ph/0605039
W. M. Stuckey
Michael Silberstein, Michael Cifone and W.M. Stuckey
An Argument for 4D Blockworld from a Geometric Interpretation of Non-relativistic Quantum Mechanics
39 pp text, 20 figures. Submitted to Relativity and the Dimensionality of the World (Springer-Verlag)
null
null
null
quant-ph
null
We use a new distinctly "geometrical" interpretation of non-relativistic quantum mechanics (NRQM) to argue for the fundamentality of the 4D blockworld ontology. Our interpretation rests on two formal results: Kaiser, Bohr & Ulfbeck and Anandan showed independently that the Heisenberg commutation relations of NRQM follow from the relativity of simultaneity (RoS) per the Poincare Lie algebra, and Bohr, Ulfbeck & Mottelson showed that the density matrix for a particular NRQM experimental outcome may be obtained from the spacetime symmetry group of the experimental configuration. Together these formal results imply that contrary to accepted wisdom, NRQM, the measurement problem and so-called quantum non-locality do not provide reasons to abandon the 4D blockworld implication of RoS. After discussing the full philosophical implications of these formal results, we motivate and derive the Born rule in the context of our ontology of spacetime relations via Anandan. Finally, we apply our explanatory and descriptive methodology to a particular experimental set-up (the so-called "quantum liar experiment") and thereby show how the blockworld view is not only consistent with NRQM, not only an implication of our geometrical interpretation of NRQM, but it is necessary in a non-trivial way for explaining quantum interference and "non-locality" from the spacetime perspective.
[ { "version": "v1", "created": "Wed, 3 May 2006 14:27:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Silberstein", "Michael", "" ], [ "Cifone", "Michael", "" ], [ "Stuckey", "W. M.", "" ] ]
quant-ph/0605040
Todd Fugleberg
K. Choy, G. Passante, D. Ahrensmeier, M.E. Carrington, T. Fugleberg, R. Kobes and G. Kunstatter
The Dynamics of Entanglement in the Adiabatic Search and Deutsch Algorithms
29 pages, 25 figures
null
10.1139/P07-084
null
quant-ph
null
The goal of this paper is to study the effect of entanglement on the running time of a quantum computation. Adiabatic quantum computation is suited to this kind of study, since it allows us to explicitly calculate the time evolution of the entanglement throughout the calculation. On the other hand however, the adiabatic formalism makes it impossible to study the roles of entanglement and fidelity separately, which means that results have to be interpreted carefully. We study two algorithms: the search algorithm and the Deutsch-Jozsa algorithm. We find some evidence that entanglement can be considered a resource in quantum computation.
[ { "version": "v1", "created": "Wed, 3 May 2006 17:04:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Choy", "K.", "" ], [ "Passante", "G.", "" ], [ "Ahrensmeier", "D.", "" ], [ "Carrington", "M. E.", "" ], [ "Fugleberg", "T.", "" ], [ "Kobes", "R.", "" ], [ "Kunstatter", "G.", "" ] ]
quant-ph/0605041
Ashwin Nayak
Ashwin Nayak (1), Pranab Sen (2) ((1) U. Waterloo & Perimeter, (2) TIFR)
Invertible Quantum Operations and Perfect Encryption of Quantum States
9 pages. Version 3 has minor edits, a correction to Theorem 2.2, and a proof sketch.Author affiliation updated.Version 4 has an additional reference. To appear in QIC
null
null
null
quant-ph cs.CR cs.IT math.IT
null
In this note, we characterize the form of an invertible quantum operation, i.e., a completely positive trace preserving linear transformation (a CPTP map) whose inverse is also a CPTP map. The precise form of such maps becomes important in contexts such as self-testing and encryption. We show that these maps correspond to applying a unitary transformation to the state along with an ancilla initialized to a fixed state, which may be mixed. The characterization of invertible quantum operations implies that one-way schemes for encrypting quantum states using a classical key may be slightly more general than the ``private quantum channels'' studied by Ambainis, Mosca, Tapp and de Wolf (FOCS 2000). Nonetheless, we show that their results, most notably a lower bound of 2n bits of key to encrypt n quantum bits, extend in a straightforward manner to the general case.
[ { "version": "v1", "created": "Wed, 3 May 2006 17:29:56 GMT" }, { "version": "v2", "created": "Thu, 20 Jul 2006 16:03:24 GMT" }, { "version": "v3", "created": "Thu, 21 Sep 2006 05:22:20 GMT" }, { "version": "v4", "created": "Thu, 2 Nov 2006 18:15:14 GMT" } ]
2018-03-22T00:00:00
[ [ "Nayak", "Ashwin", "" ], [ "Sen", "Pranab", "" ] ]