id
stringlengths
9
16
submitter
stringlengths
1
64
authors
stringlengths
3
62.8k
title
stringlengths
1
382
comments
stringlengths
1
1.15k
journal-ref
stringlengths
1
557
doi
stringlengths
7
153
report-no
stringlengths
1
509
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
timestamp[s]date
2007-05-23 00:00:00
2025-04-04 00:00:00
authors_parsed
listlengths
1
2.83k
quant-ph/0608115
Ulf Leonhardt
U. Leonhardt and T. G. Philbin
Quantum levitation by left-handed metamaterials
null
null
10.1088/1367-2630/9/8/254
null
quant-ph cond-mat.mtrl-sci physics.optics
null
Left-handed metamaterials make perfect lenses that image classical electromagnetic fields with significantly higher resolution than the diffraction limit. Here we consider the quantum physics of such devices. We show that the Casimir force of two conducting plates may turn from attraction to repulsion if a perfect lens is sandwiched between them. For optical left-handed metamaterials this repulsive force of the quantum vacuum may levitate ultra-thin mirrors.
[ { "version": "v1", "created": "Mon, 14 Aug 2006 14:26:03 GMT" }, { "version": "v2", "created": "Fri, 15 Dec 2006 09:55:19 GMT" }, { "version": "v3", "created": "Wed, 20 Dec 2006 09:45:38 GMT" }, { "version": "v4", "created": "Wed, 25 Apr 2007 16:01:16 GMT" }, { "version": "v5", "created": "Thu, 19 Jul 2007 09:59:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Leonhardt", "U.", "" ], [ "Philbin", "T. G.", "" ] ]
quant-ph/0608116
Iwo Bialynicki-Birula
Iwo Bialynicki-Birula
Formulation of the uncertainty relations in terms of the Renyi entropies
null
Phys. Rev. A 74, 052101 (2006)
10.1103/PhysRevA.74.052101
null
quant-ph
null
Quantum mechanical uncertainty relations for position and momentum are expressed in the form of inequalities involving the Renyi entropies. The proof of these inequalities requires the use of the exact expression for the (p,q)-norm of the Fourier transformation derived by Babenko and Beckner. Analogous uncertainty relations are derived for angle and angular momentum and also for a pair of complementary observables in N-level systems. All these uncertainty relations become more attractive when expressed in terms of the symmetrized Renyi entropies.
[ { "version": "v1", "created": "Mon, 14 Aug 2006 14:41:10 GMT" }, { "version": "v2", "created": "Sat, 11 Nov 2006 12:58:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Bialynicki-Birula", "Iwo", "" ] ]
quant-ph/0608117
Arkadiusz Jadczyk
Arkadiusz Jadczyk
Quantum fractals on n-spheres. Clifford Algebra approach
Latex. 49 pages. 9 figures. Corrected two misprints in Sec. 3. R(2,C) at the beginning has been replaced by C(V,Q), and `isomorphism' just before Theorem 1 has been replaced by `homomorphism'
Adv.Appl.CliffordAlgebras17:201-240,2007
10.1007/s00006-006-0020-9
null
quant-ph nlin.CD
null
Using the Clifford algebra formalism we extend the quantum jumps algorithm of the Event Enhanced Quantum Theory (EEQT) to convex state figures other than those stemming from convex hulls of complex projective spaces that form the basis for the standard quantum theory. We study quantum jumps on n-dimensional spheres, jumps that are induced by symmetric configurations of non-commuting state monitoring detectors. The detectors cause quantum jumps via geometrically induced conformal maps (Mobius transformations) and realize iterated function systems (IFS) with fractal attractors located on n-dimensional spheres. We also extend the formalism to mixed states, represented by "density matrices". As a numerical illustration we study quantum fractals on the circle, two--sphere (octahedron), and on three-dimensional sphere (hypercube-tesseract, 24 cell, 600 cell,and 120 cell). The invariant measure on the attractor is approximated by the powers of the Markov operator. In the appendices we calculate the Radon-Nikodym derivative of the SO(n+1) invariant measure on S^n under SO(1,n+1) transformations and discuss the Hamilton's "icossian calculus" as well as its application to quaternionic realization of the binary icosahedral group that is at the basis of the 600 cell and its dual, the 120 cell. As a by-product of this work we obtain several Clifford algebraic results, such as a characterization of positive elements in a Clifford algebra Cl(n+1) as generalized Lorentz boosts, and their action as Moebius transformation on n-sphere, and a decomposition of any element of Spin^+(1,n+1) into a boost and a rotation, including the explicit formula for the pullback of the O(n+1) invariant Riemannian metric with respect to the associated Mobius transformation.
[ { "version": "v1", "created": "Mon, 14 Aug 2006 18:43:27 GMT" }, { "version": "v2", "created": "Mon, 4 Sep 2006 17:02:04 GMT" }, { "version": "v3", "created": "Fri, 6 Oct 2006 19:57:36 GMT" }, { "version": "v4", "created": "Sat, 25 Nov 2006 10:51:26 GMT" }, { "version": "v5", "created": "Fri, 25 May 2007 17:54:33 GMT" } ]
2008-11-26T00:00:00
[ [ "Jadczyk", "Arkadiusz", "" ] ]
quant-ph/0608118
Stefan Yoshi Buhmann
Stefan Yoshi Buhmann and Dirk-Gunnar Welsch
Dispersion forces in macroscopic quantum electrodynamics
112 pages, 7 figures, 4 tables, extended version
Progress in Quantum Electronics 31 (2) 51 (2007)
10.1016/j.pquantelec.2007.03.001
null
quant-ph
null
The description of dispersion forces within the framework of macroscopic quantum electrodynamics in linear, dispersing, and absorbing media combines the benefits of approaches based on normal-mode techniques of standard quantum electrodynamics and methods based on linear response theory in a natural way. It renders generally valid expressions for both the forces between bodies and the forces on atoms in the presence of bodies, while showing very clearly the intimate relation between the different types of dispersion forces. By considering examples, the influence of various factors like form, size, electric and magnetic properties, or intervening media on the forces is addressed. Since the approach based on macroscopic quantum electrodynamics does not only apply to equilibrium systems, it can be used to investigate dynamical effects such as the temporal evolution of forces on arbitrarily excited atoms.
[ { "version": "v1", "created": "Mon, 14 Aug 2006 20:38:30 GMT" }, { "version": "v2", "created": "Tue, 12 Jun 2007 14:42:09 GMT" } ]
2010-01-04T00:00:00
[ [ "Buhmann", "Stefan Yoshi", "" ], [ "Welsch", "Dirk-Gunnar", "" ] ]
quant-ph/0608119
Parsa Bonderson
Parsa Bonderson, Kirill Shtengel, J. K. Slingerland
Decoherence of Anyonic Charge in Interferometry Measurements
5 pages, 1 figure; v2: reference added, example added, clarifying changes made to conform to the version published in PRL
Phys. Rev. Lett. 98, 070401 (2007)
10.1103/PhysRevLett.98.070401
NSF-KITP-06-51
quant-ph cond-mat.mes-hall hep-th
null
We examine interferometric measurements of the topological charge of (non-Abelian) anyons. The target's topological charge is measured from its effect on the interference of probe particles sent through the interferometer. We find that superpositions of distinct anyonic charges a and a' in the target decohere (exponentially in the number of probes particles used) when the probes have nontrivial monodromy with the charges that may be fused with a to give a'.
[ { "version": "v1", "created": "Mon, 14 Aug 2006 23:38:28 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 01:36:12 GMT" } ]
2009-09-21T00:00:00
[ [ "Bonderson", "Parsa", "" ], [ "Shtengel", "Kirill", "" ], [ "Slingerland", "J. K.", "" ] ]
quant-ph/0608120
Terry Rudolph
Terry Rudolph
Ontological Models for Quantum Mechanics and the Kochen-Specker theorem
These theories are not quantum mechanics. But they should be
null
null
null
quant-ph
null
Certain concrete "ontological models" for quantum mechanics (models in which measurement outcomes are deterministic and quantum states are equivalent to classical probability distributions over some space of `hidden variables') are examined. The models are generalizations of Kochen and Specker's such model for a single 2-dimensional system - in particular a model for a three dimensional quantum system is considered in detail. Unfortunately, it appears the models do not quite reproduce the quantum mechanical statistics. They do, however, come close to doing so, and in as much as they simply involve probability distributions over the complex projective space they do reproduce pretty much everything else in quantum mechanics. The Kochen-Specker theorem is examined in the light of these models, and the rather mild nature of the manifested contextuality is discussed.
[ { "version": "v1", "created": "Tue, 15 Aug 2006 04:11:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Rudolph", "Terry", "" ] ]
quant-ph/0608121
Andrew Fisher
H.-C. Lin and A.J. Fisher
Entanglement in general two-mode continuous-variable states: local approach and mapping to a two-qubit system
4 pages, RevTeX 4, one figure. Further modifications in response to journal referees, correction to expression for negativity
null
10.1103/PhysRevA.76.042320
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some region of space; we study the entanglement remaining after filtering. For small regions, a two-mode system can be approximated by a pair of qubits and its entanglement fully characterized, even for mixed states. Our approach may be extended to any smooth bipartite pure state or two-mode mixed state, leading to natural definitions of concurrence and negativity densities. For Gaussian states both these quantities are constant throughout configuration space.
[ { "version": "v1", "created": "Tue, 15 Aug 2006 15:40:57 GMT" }, { "version": "v2", "created": "Tue, 23 Jan 2007 11:52:11 GMT" }, { "version": "v3", "created": "Thu, 7 Jun 2007 13:23:14 GMT" }, { "version": "v4", "created": "Wed, 4 Mar 2009 15:11:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Lin", "H. -C.", "" ], [ "Fisher", "A. J.", "" ] ]
quant-ph/0608122
Stephen A. Fulling
S. A. Fulling, J. H. Wilson
Repulsive Casimir Pistons
4 pages, 2 figures; RevTeX. Minor additions and corrections
Superseded by Phys. Rev. A 76 (2007) 012118 (quant-ph/0703248)
10.1103/PhysRevA.76.012118
null
quant-ph hep-th
null
Casimir pistons are models in which finite Casimir forces can be calculated without any suspect renormalizations. It has been suggested that such forces are always attractive. We present three scenarios in which that is not true. Two of these depend on mixing two types of boundary conditions. The other, however, is a simple type of quantum graph in which the sign of the force depends upon the number of edges.
[ { "version": "v1", "created": "Tue, 15 Aug 2006 17:10:55 GMT" }, { "version": "v2", "created": "Sun, 28 Jan 2007 02:07:58 GMT" } ]
2013-05-29T00:00:00
[ [ "Fulling", "S. A.", "" ], [ "Wilson", "J. H.", "" ] ]
quant-ph/0608123
Ralf Schutzhold
Markus Tiersch and Ralf Sch\"utzhold
Non-Markovian decoherence in the adiabatic quantum search algorithm
null
Phys. Rev. A 75, 062313 (2007)
10.1103/PhysRevA.75.062313
null
quant-ph
null
We consider an adiabatic quantum algorithm (Grover's search routine) weakly coupled to a rather general environment, i.e., without using the Markov approximation. Markovian errors generally require high-energy excitations (of the reservoir) and tend to destroy the scalability of the adiabatic quantum algorithm. We find that, under appropriate conditions (such as low temperatures), the low-energy (i.e., non-Markovian) modes of the bath are most important. Hence the scalability of the adiabatic quantum algorithm depends on the infra-red behavior of the environment: a reasonably small coupling to the three-dimensional electromagnetic field does not destroy the scaling behavior, whereas phonons or localized degrees of freedom can be problematic. PACS: 03.67.Pp, 03.67.Lx, 03.67.-a, 03.65.Yz.
[ { "version": "v1", "created": "Tue, 15 Aug 2006 17:41:41 GMT" } ]
2011-11-09T00:00:00
[ [ "Tiersch", "Markus", "" ], [ "Schützhold", "Ralf", "" ] ]
quant-ph/0608124
Dragomir Z. Djokovic
Dragomir Z. Djokovic
Dimensions of generic local orbits of multipartite quantum systems
5 pages. The spelling of author's name corrected
null
null
null
quant-ph
null
We consider the action of the group of local unitary transformations, U(m) x U(n), on the set of (mixed) states W of the bipartite m x n quantum system. We prove that the generic U(m) x U(n)--orbits in W have dimension m^2+n^2-2. This problem was mentioned (and left open) by Kus and Zyczkowski in their paper Geometry of entangled states. The proof can be extended to the case of arbitrary finite-dimensional multipartite quantum systems.
[ { "version": "v1", "created": "Tue, 15 Aug 2006 19:51:18 GMT" }, { "version": "v2", "created": "Mon, 1 Jan 2007 13:05:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Djokovic", "Dragomir Z.", "" ] ]
quant-ph/0608125
Andr\'es Fernando Reyes Lega
N. A. Papadopoulos, M. Paschke, A. F. Reyes-Lega, F. Scheck
The spin-statistics relation in nonrelativistic quantum mechanics and projective modules
16 pages
Annales Mathematiques Blaise Pascal 11, 205-220 (2004)
null
MZ-TH/04-24
quant-ph
null
In this work we consider non-relativistic quantum mechanics, obtained from a classical configuration space Q of indistinguishable particles. Following an approach proposed by one of the authors, wave functions are regarded as elements of suitable projective modules over C(Q). We take furthermore into account the G-Theory point of view, where the role of group action is particularly emphasized. As an example illustrating the method, the case of two particles is worked out in detail. Previous works aiming at a proof of a spin-statistics theorem for non-relativistic quantum mechanics are re-considered from the point of view of our approach, enabling us to clarify several points.
[ { "version": "v1", "created": "Tue, 15 Aug 2006 21:26:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Papadopoulos", "N. A.", "" ], [ "Paschke", "M.", "" ], [ "Reyes-Lega", "A. F.", "" ], [ "Scheck", "F.", "" ] ]
quant-ph/0608126
Andrew A. Semenov
A.A. Semenov, D.Yu. Vasylyev, W. Vogel, M. Khanbekyan, and D.-G. Welsch
Characterization of unwanted noise in realistic cavities
Contribution to XI International Conference on Quantum Optics, Minsk, Belarus, 26-31 May, 2006
Optics and Spectroscopy 103, 245-251 (2007)
10.1134/S0030400X07080139
null
quant-ph physics.optics
null
The problem of the description of absorption and scattering losses in high-Q cavities is studied. The considerations are based on quantum noise theories, hence the unwanted noise associated with scattering and absorption is taken into account by introduction of additional damping and noise terms in the quantum Langevin equations and input--output relations. Completeness conditions for the description of the cavity models obtained in this way are studied and corresponding replacement schemes are discussed.
[ { "version": "v1", "created": "Wed, 16 Aug 2006 12:58:05 GMT" } ]
2007-08-02T00:00:00
[ [ "Semenov", "A. A.", "" ], [ "Vasylyev", "D. Yu.", "" ], [ "Vogel", "W.", "" ], [ "Khanbekyan", "M.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/0608127
Xiangyao Wu
Xiang-Yao Wu, Xiao-Jing Liu, Li Wang, Yi-Qing Guo and Xi-Hui Fan
Classical and quantum theory for Superluminal particle
12 pages
null
null
null
quant-ph
null
As we all know, when the relative velocity of two inertial reference frames $\sum$ and $\sum^{'}$ is less than the speed of light, the relations of $x_{\mu}$ with $x_{\mu}^{'}$, a particle mass $m$ with its velocity $\upsilon$, and a particle mass with its energy are all given by Einstein's special relativity. In this paper, we will give new relation of $x_{\mu}$ and $x_{\mu}^{'}$ when the relative velocity of $\sum$ and $\sum^{'}$ frame is larger than the speed of light, and also we give the relation of a particle mass $m$ with its velocity $\upsilon$, and a particle mass $m$ with its energy $E$ when the particle velocity $v$ is larger than the speed of light.
[ { "version": "v1", "created": "Wed, 16 Aug 2006 06:33:26 GMT" }, { "version": "v2", "created": "Wed, 7 Feb 2007 12:21:16 GMT" }, { "version": "v3", "created": "Wed, 16 May 2007 08:30:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Wu", "Xiang-Yao", "" ], [ "Liu", "Xiao-Jing", "" ], [ "Wang", "Li", "" ], [ "Guo", "Yi-Qing", "" ], [ "Fan", "Xi-Hui", "" ] ]
quant-ph/0608128
Yeong-Cherng Liang
Yeong-Cherng Liang, Andrew C. Doherty
Bounds on Quantum Correlations in Bell Inequality Experiments
13 pages, 1 table, 2 figures. Updated version as published in PRA
Physical Review A, vol. 75, art. 042103 (2007)
10.1103/PhysRevA.75.042103
null
quant-ph
null
Bell inequality violation is one of the most widely known manifestations of entanglement in quantum mechanics; indicating that experiments on physically separated quantum mechanical systems cannot be given a local realistic description. However, despite the importance of Bell inequalities, it is not known in general how to determine whether a given entangled state will violate a Bell inequality. This is because one can choose to make many different measurements on a quantum system to test any given Bell inequality and the optimization over measurements is a high-dimensional variational problem. In order to better understand this problem we present algorithms that provide, for a given quantum state, both a lower bound and an upper bound on the maximal expectation value of a Bell operator. Both bounds apply techniques from convex optimization and the methodology for creating upper bounds allows them to be systematically improved. In many cases these bounds determine measurements that would demonstrate violation of the Bell inequality or provide a bound that rules out the possibility of a violation. Examples are given to illustrate how these algorithms can be used to conclude definitively if some quantum states violate a given Bell inequality.
[ { "version": "v1", "created": "Wed, 16 Aug 2006 10:57:39 GMT" }, { "version": "v2", "created": "Tue, 10 Apr 2007 06:55:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Liang", "Yeong-Cherng", "" ], [ "Doherty", "Andrew C.", "" ] ]
quant-ph/0608129
Farhan Saif
Farhan Saif and Pierre Meystre
Coherent Acceleration of Material Wavepackets
6 pages, 3 figures, NASA "Quantum-to-Cosmos" conference proceedings to be published in IJMPD
null
10.1142/S021827180701167X
null
quant-ph
null
We study the quantum dynamics of a material wavepacket bouncing off a modulated atomic mirror in the presence of a gravitational field. We find the occurrence of coherent accelerated dynamics for atoms. The acceleration takes place for certain initial phase space data and within specific windows of modulation strengths. The realization of the proposed acceleration scheme is within the range of present day experimental possibilities.
[ { "version": "v1", "created": "Wed, 16 Aug 2006 18:24:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Saif", "Farhan", "" ], [ "Meystre", "Pierre", "" ] ]
quant-ph/0608130
Tomasz Sowinski
Tomasz Sowinski
Wave functions of linear systems
null
Acta Phys. Polon. B 38, 2173 (2007)
null
null
quant-ph
null
Complete analysis of quantum wave functions of linear systems in an arbitrary number of dimensions is given. It is shown how one can construct a complete set of stationary quantum states of an arbitrary linear system from purely classical arguments. This construction is possible because for linear systems classical dynamics carries the whole information about quantum dynamics.
[ { "version": "v1", "created": "Wed, 16 Aug 2006 19:41:08 GMT" }, { "version": "v2", "created": "Tue, 5 Jun 2007 19:41:07 GMT" } ]
2007-06-13T00:00:00
[ [ "Sowinski", "Tomasz", "" ] ]
quant-ph/0608131
Rubens Ramos Viana
Paulo Benicio Melo de Sousa, Rubens Viana Ramos and Jose Tarcisio Costa filho
New models of quantum games
10 pages and 5 figures
null
null
null
quant-ph
null
In this work we propose and develop modified quantum games (zero and non-zero sum) in which payoffs and strategies are entangled. For the games studied, Nash and Pareto equilibriums are always obtained indicating that there are some interesting cases where quantum games can be applied.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 15:28:56 GMT" }, { "version": "v2", "created": "Fri, 6 Oct 2006 17:02:22 GMT" } ]
2007-05-23T00:00:00
[ [ "de Sousa", "Paulo Benicio Melo", "" ], [ "Ramos", "Rubens Viana", "" ], [ "filho", "Jose Tarcisio Costa", "" ] ]
quant-ph/0608132
Dan Shepherd
Dan Shepherd
Computation with Unitaries and One Pure Qubit
16 pages, no figures, submitted to QIC. This version has an improved section on oracles, adds a note on entanglement, includes minor corrections
null
null
null
quant-ph
null
We define a semantic complexity class based on the model of quantum computing with just one pure qubit (as introduced by Knill and Laflamme) and discuss its computational power in terms of the problem of estimating the trace of a large unitary matrix. We show that this problem is complete for the complexity class, and derive some further fundamental features of the class. We conclude with a discussion of some associated open conjectures and new oracle separations between classes.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 00:37:10 GMT" }, { "version": "v2", "created": "Wed, 29 Nov 2006 14:34:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Shepherd", "Dan", "" ] ]
quant-ph/0608133
Klemens Hammerer
K. Hammerer, E.S. Polzik, J.I. Cirac
High fidelity teleportation between light and atoms
5 pages, 3 figures
PRA 74, 064301 (2007)
10.1103/PhysRevA.74.064301
null
quant-ph
null
We show how high fidelity quantum teleportation of light to atoms can be achieved in the same setup as was used in the recent experiment [J. Sherson et.al., quant-ph/0605095, accepted by Nature], where such an inter-species quantum state transfer was demonstrated for the first time. Our improved protocol takes advantage of the rich multimode entangled structure of the state of atoms and scattered light and requires simple post-processing of homodyne detection signals and squeezed light in order to achieve fidelities up to 90% (85%) for teleportation of coherent (qubit) states under realistic experimental conditions. The remaining limitation is due to atomic decoherence and light losses.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 13:44:49 GMT" }, { "version": "v2", "created": "Wed, 13 Dec 2006 12:50:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Hammerer", "K.", "" ], [ "Polzik", "E. S.", "" ], [ "Cirac", "J. I.", "" ] ]
quant-ph/0608134
Yasushi Kondo Dr.
Yasushi Kondo, Mikio Nakahara, Shogo Tanimura, Sachiko Kitajima, Chikako Uchiyama and Fumiaki Shibata
Generation and Suppression of Decoherence in Artificial Environment for Qubit System
25 pages, 7 figures; added references
null
10.1143/JPSJ.76.074002
null
quant-ph
null
It is known that a quantum system with finite degrees of freedom can simulate a composite of a system and an environment if the state of the hypothetical environment is randomized by external manipulation. We show theoretically that any phase decoherence phenomena of a single qubit can be simulated with a two-qubit system and demonstrate experimentally two examples: one is phase decoherence of a single qubit in a transmission line, and the other is that in a quantum memory. We perform NMR experiments employing a two-spin molecule and clearly measure decoherence for both cases. We also prove experimentally that the bang-bang control efficiently suppresses decoherence.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 06:23:19 GMT" }, { "version": "v2", "created": "Wed, 6 Sep 2006 01:17:09 GMT" }, { "version": "v3", "created": "Sat, 10 Feb 2007 06:43:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Kondo", "Yasushi", "" ], [ "Nakahara", "Mikio", "" ], [ "Tanimura", "Shogo", "" ], [ "Kitajima", "Sachiko", "" ], [ "Uchiyama", "Chikako", "" ], [ "Shibata", "Fumiaki", "" ] ]
quant-ph/0608135
Lan Zhou
Lan Zhou, Jing Lu, Tao Shi, C. P. Sun
Decoherence problem in quantum state transfer via an engineered spin chain
6 pages, 3 figures
null
null
null
quant-ph
null
A perfect quantum state transfer(QST) has been shown in an engineered spin chain with "always-on interaction". Here, we consider a more realistic problem for such a protocol, the quantum decoherence induced by a spatially distributed environment, which is universally modeled as a bath of harmonic oscillators. By making use of the irreducible tensor method in angular momentum theory, we investigate the effect of decoherence on the efficiency of QST for both cases at zero and finite temperatures. We not only show the generic exponential decay of QST efficiency as the number of sites increase, but also find some counterintuitive effect, the QST can be enhanced as temperature increase.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 09:37:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhou", "Lan", "" ], [ "Lu", "Jing", "" ], [ "Shi", "Tao", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0608136
Alessio Serafini
A. Serafini
Multimode uncertainty relations and separability of continuous variable states
4 pages, no figures; shorter version of a longer version (see quant-ph/0508231), published
Phys. Rev. Lett. 96, 110402 (2006)
10.1103/PhysRevLett.96.110402
null
quant-ph
null
A multimode uncertainty relation (generalising the Robertson-Schroedinger relation) is derived as a necessary constraint on the second moments of n pairs of canonical operators. In turn, necessary conditions for the separability of multimode continuous variable states under (m+n)-mode bipartitions are derived from the uncertainty relation. These conditions are proven to be necessary and sufficient for (1+n)-mode Gaussian states and for (m+n)-mode bisymmetric Gaussian states.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 17:48:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Serafini", "A.", "" ] ]
quant-ph/0608137
Dominic William Berry
Dominic W. Berry
Implementation of multipartite unitary operations with limited resources
7 pages, 4 figures, comments welcome
Phys. Rev. A 75, 032349 (2007)
10.1103/PhysRevA.75.032349
null
quant-ph
null
A general method for implementing weakly entangling multipartite unitary operations using a small amount of entanglement and classical communication is presented. For the simple Hamiltonian \sigma_z\otimes\sigma_z this method requires less entanglement than previously known methods. In addition, compression of multiple operations is applied to reduce the average communication required.
[ { "version": "v1", "created": "Sun, 20 Aug 2006 07:51:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Berry", "Dominic W.", "" ] ]
quant-ph/0608138
Dmitry Arbatsky
D. A. Arbatsky
The certainty principle (review)
One paper, in Russian and in English, no figures
null
null
null
quant-ph
null
The certainty principle (2005) allowed to conceptualize from the more fundamental grounds both the Heisenberg uncertainty principle (1927) and the Mandelshtam-Tamm relation (1945). In this review I give detailed explanation and discussion of the certainty principle, oriented to all physicists, both theorists and experimenters.
[ { "version": "v1", "created": "Thu, 17 Aug 2006 22:46:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Arbatsky", "D. A.", "" ] ]
quant-ph/0608139
Daniel Cavalcanti
Daniel Cavalcanti, J. G. Oliveira Jr, J. G. Peixoto de Faria, Marcelo O. Terra Cunha, and Marcelo Franca Santos
Entanglement versus energy in the entanglement transfer problem
11 pages, 6 figs. v2: references added, text and figures improved
Phys. Rev. A 74, 042328 (2006)
10.1103/PhysRevA.74.042328
null
quant-ph
null
We study the relation between energy and entanglement in an entanglement transfer problem. We first analyze the general setup of two entangled qubits (a and b) exchanging this entanglement with two other independent qubits (A and B). Qubit a (b) interacts with qubit A (B) via a spin exchange-like unitary evolution. A physical realization of this scenario could be the problem of two-level atoms transferring entanglement to resonant cavities via independent Jaynes-Cummings interactions. We study the dynamics of entanglement and energy for the second pair of qubits (tracing out the originally entangled ones) and show that these quantities are closely related. For example, the allowed quantum states occupy a restricted area in a phase diagram entanglement vs. energy. Moreover the curve which bounds this area is exactly the one followed if both interactions are equal and the entire four qubit system is isolated. We also consider the case when the target pair of qubits is subjected to losses and can spontaneously decay.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 18:53:02 GMT" }, { "version": "v2", "created": "Tue, 29 Aug 2006 18:00:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Cavalcanti", "Daniel", "" ], [ "Oliveira", "J. G.", "Jr" ], [ "de Faria", "J. G. Peixoto", "" ], [ "Cunha", "Marcelo O. Terra", "" ], [ "Santos", "Marcelo Franca", "" ] ]
quant-ph/0608140
David Derbes
Freeman J. Dyson
1951 Lectures on Advanced Quantum Mechanics Second Edition
149 page 10pt report class LateX document using many special formatting packages and including 10 EPS graphics files loaded with the graphicx package
null
null
null
quant-ph hep-th physics.hist-ph
null
The legendary 1951 Dyson Lectures on Advanced Quantum Mechanics are finally LaTeXed, with thorough annotations and an index as an added bonus. See the Typist's Afterward preceding the backmatter for an explanation of this new version, and for the historical context see the website: http://hrst.mit.edu/hrs/renormalization/dyson51-intro/ as well as the author's website at the Princeton Institute for Advanced Study: http://www.sns.ias.edu/~dyson/
[ { "version": "v1", "created": "Fri, 18 Aug 2006 19:01:11 GMT" } ]
2009-09-29T00:00:00
[ [ "Dyson", "Freeman J.", "" ] ]
quant-ph/0608141
Daniel Cavalcanti
Daniel Cavalcanti, L. M. Moreira, Franklin Matinaga, Marcelo O. Terra Cunha, and Marcelo Franca Santos
Useful entanglement from the Pauli principle
5 pages, 3 figures. V2: accepted version - text improved, 4 pages, 2 figs
Phys. Rev. B 76, 113304 (2007)
10.1103/PhysRevB.76.113304
null
quant-ph cond-mat.str-el
null
We address the question whether identical-particle entanglement is a useful resource for quantum information processing. We answer this question positively by reporting a scheme to create entanglement using semiconductor quantum wells. The Pauli exclusion principle forces quantum correlations between the spins of two independent fermions in the conduction band. Selective electron-hole recombination then transfers this entanglement to the polarization of emitted photons, which can subsequently be used for quantum information tasks.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 18:45:08 GMT" }, { "version": "v2", "created": "Sat, 29 Sep 2007 13:14:38 GMT" } ]
2007-09-29T00:00:00
[ [ "Cavalcanti", "Daniel", "" ], [ "Moreira", "L. M.", "" ], [ "Matinaga", "Franklin", "" ], [ "Cunha", "Marcelo O. Terra", "" ], [ "Santos", "Marcelo Franca", "" ] ]
quant-ph/0608142
Scott Aaronson
Scott Aaronson
The Learnability of Quantum States
30 pages; added discussion of adaptive measurements, moved proofs to appendix, and corrected various minor errors
null
10.1098/rspa.2007.0113
null
quant-ph
null
Traditional quantum state tomography requires a number of measurements that grows exponentially with the number of qubits n. But using ideas from computational learning theory, we show that "for most practical purposes" one can learn a state using a number of measurements that grows only linearly with n. Besides possible implications for experimental physics, our learning theorem has two applications to quantum computing: first, a new simulation of quantum one-way communication protocols, and second, the use of trusted classical advice to verify untrusted quantum advice.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 02:57:52 GMT" }, { "version": "v2", "created": "Sun, 20 Aug 2006 07:44:06 GMT" }, { "version": "v3", "created": "Sun, 4 Mar 2007 14:08:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Aaronson", "Scott", "" ] ]
quant-ph/0608143
Kenichiro Furuta
Kenichiro Furuta, Hirofumi Muratani, Taichi Isogai, Tomoko Yonemura
Analyzing the effectiveness of the quantum repeater
null
null
null
null
quant-ph
null
The communication distance of QKD is limited by exponential attenuation of photons propagating through optical fibers. However, it has been shown that introducing a quantum repeater can improve the order of the attenuation and is useful for extending the communication distance of QKD when the repeater noise is ignored. In this paper, we analyze the effectiveness of the quantum repeater when taking the repeater noise into consideration. We analyze the effectiveness also from the viewpoint of the security and show that QKD is secure even if a quantum repeater is used.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 10:14:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Furuta", "Kenichiro", "" ], [ "Muratani", "Hirofumi", "" ], [ "Isogai", "Taichi", "" ], [ "Yonemura", "Tomoko", "" ] ]
quant-ph/0608144
Ryo Namiki
Ryo Namiki and Takuya Hirano
Efficient-phase-encoding protocols for continuous-variable quantum key distribution using coherent states and postselection
RevTeX4, 8 pages, 9 figures
Phys. Rev. A 74, 032302 (2006)
10.1103/PhysRevA.74.032302
null
quant-ph
null
We propose efficient-phase-encoding protocols for continuous-variable quantum key distribution using coherent states and postselection. By these phase encodings, the probability of basis mismatch is reduced and total efficiency is increased. We also propose mixed-state protocols by omitting a part of classical communication steps in the efficient-phase-encoding protocols. The omission implies a reduction of information to an eavesdropper and possibly enhances the security of the protocols. We investigate the security of the protocols against individual beam splitting attack.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 09:17:30 GMT" } ]
2008-09-29T00:00:00
[ [ "Namiki", "Ryo", "" ], [ "Hirano", "Takuya", "" ] ]
quant-ph/0608145
Erik Hostens
Erik Hostens, Jeroen Dehaene, Bart De Moor
Stabilizer state breeding
RevTeX4, 9 pages, 1 figure
Phys. Rev. A 74, 062318 (2006)
10.1103/PhysRevA.74.062318
null
quant-ph
null
We present a breeding protocol that distills pure copies of any stabilizer state from noisy copies and a pool of predistilled pure copies of the same state, by means of local Clifford operations, Pauli measurements and classical communication.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 09:50:46 GMT" } ]
2013-05-29T00:00:00
[ [ "Hostens", "Erik", "" ], [ "Dehaene", "Jeroen", "" ], [ "De Moor", "Bart", "" ] ]
quant-ph/0608146
Sarvagya Upadhyay
Richard Cleve, William Slofstra, Falk Unger, Sarvagya Upadhyay
Strong Parallel Repetition Theorem for Quantum XOR Proof Systems
17 pages, no figures
null
null
null
quant-ph
null
We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier's verdict is a function of the XOR of the two bits received. We show that, when the provers are allowed to coordinate their behavior using a shared entangled quantum state, a perfect parallel repetition theorem holds in the following sense. The prover's optimal success probability for simultaneously playing a collection of XOR proof systems is exactly the product of the individual optimal success probabilities. This property is remarkable in view of the fact that, in the classical case (where the provers can only utilize classical information), it does not hold. The theorem is proved by analyzing parities of XOR proof systems using semidefinite programming techniques, which we then relate to parallel repetitions of XOR games via Fourier analysis.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 23:01:12 GMT" }, { "version": "v2", "created": "Fri, 11 Apr 2008 16:06:58 GMT" } ]
2008-04-11T00:00:00
[ [ "Cleve", "Richard", "" ], [ "Slofstra", "William", "" ], [ "Unger", "Falk", "" ], [ "Upadhyay", "Sarvagya", "" ] ]
quant-ph/0608147
Gustavo Lopez
Gustavo V. Lopez and Lorena Lara
Numerical simulation of a Controlled-Controlled-Not (CCN) quantum gate in a chain of three interacting nuclear spins system
9 pages, 5 fugures
null
10.1088/0953-4075/39/18/019
null
quant-ph
null
We present the study of a quantum Controlled-Controlled-Not gate, implemented in a chain of three nuclear spins weakly Ising interacting between all of them, that is, taking into account first and second neighbor spin interactions. This implementation is done using a single resonant $\pi$-pulse on the initial state of the system (digital and superposition). The fidelity parameter is used to determine the behavior of the CCN quantum gate as a function of the ratio of the second neighbor interaction coupling constant to the first neighbor interaction coupling constant ($J'/J$). We found that for $J'/J\ge 0.02$ we can have a well defined CCN quantum gate.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 23:32:17 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 22:23:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Lopez", "Gustavo V.", "" ], [ "Lara", "Lorena", "" ] ]
quant-ph/0608148
Gustavo Lopez
Gustavo V. Lopez and Lorena Lara
Chain of nuclear spins system quantum computer taking into account second neighbor Ising spins interaction and numerical simulation of Shor factorization of N=4
10 pages, 7 figures
null
null
null
quant-ph
null
For a one-dimensional chain of four nuclear spins (1/2) and taking into account first and second neighbor interactions among the spin system, we make the numerical simulation of Shor prime factorization algorithm of the integer number N=4 to study the influence of the second neighbor interaction on the performance of this algorithm. It is shown that the optimum Rabi's frequency to control the non-resonant effects is dominated by the second neighbor interaction coupling parameter ($J'$), and that a good Shor quantum factorization is achieved for a ratio of second to first coupling constant of $J'/J\ge 0.04$.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 23:43:49 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 22:28:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Lopez", "Gustavo V.", "" ], [ "Lara", "Lorena", "" ] ]
quant-ph/0608149
Gustavo Lopez
Gustavo Lopez
Quantization of a one-dimensional time-dependent periodic system with Hamiltonian and constants of motion approaches
8 pages, non figures
null
null
null
quant-ph
null
For a particle moving in a one-dimensional space an under a periodic external force, its quantization is study using the Hamiltonian (generalized linear momentum quantization) and constant of motion (velocity quantization) approaches. it is shown a great difference on the quantization of both approaches and the ambiguities arisen by using the quantization on the constants of motion.
[ { "version": "v1", "created": "Fri, 18 Aug 2006 23:57:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Lopez", "Gustavo", "" ] ]
quant-ph/0608150
Stephen Spratlin Bullock
Stephen S Bullock
Projecting onto Qubit Irreps of Young Diagrams
7+1 pages, two tables, one figure, one algorithm
null
null
null
quant-ph
null
Let K be the diagonal subgroup of U(2)^{(x)n}. We may view the one-qubit state-space H_1 as a standard representation of U(2) and the n-qubit state space H_n=(H_1)^{(x) n} as the n-fold tensor product of standard representations. Representation theory then decomposes H_n into irreducible subrepresentations of K parametrized by combinatorial objects known as Young diagrams. We argue that n-1 classically controlled measurement circuits, each a Fredkin-gate interferometer, may be used to form a projection operator onto a random Young diagram irrep within H_n. For H_2, the two irreps happen to be orthogonal and correspond to the symmetric and wedge product. The latter is spanned by ket{Psi^-}, and the standard two-qubit swap interferometer requiring a single Fredkin gate suffices in this case. In the n-qubit case, it is possible to extract many copies of ket{Psi^-}. Thus applying this process using nondestructive Fredkin interferometers allows for the creation of entangled bits (e-bits) using fully mixed states and von Neumann measurements.
[ { "version": "v1", "created": "Sat, 19 Aug 2006 00:22:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Bullock", "Stephen S", "" ] ]
quant-ph/0608151
Shao-Ming Fei
Xiao-Hong Wang, Shao-Ming Fei, Ke Wu
Separability and Entanglement of Identical Bosonic Systems
4 pages
J. Phys. A 39, Gen. and Math. (2006)L555-L557
10.1088/0305-4470/39/36/L01
null
quant-ph
null
We investigate the separability of arbitrary $n$-dimensional multipartite identical bosonic systems. An explicit relation between the dimension and the separability is presented. In particular, for $n=3$, it is shown that the property of PPT (positive partial transpose) and the separability are equivalent for tripartite systems.
[ { "version": "v1", "created": "Sat, 19 Aug 2006 08:30:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Xiao-Hong", "" ], [ "Fei", "Shao-Ming", "" ], [ "Wu", "Ke", "" ] ]
quant-ph/0608152
Gong Zhe-Xuan
Zhe-Xuan Gong
Effective error-suppression scheme for reversible quantum computer
6 pages, 5 figures
null
null
null
quant-ph
null
We construct a new error-suppression scheme that makes use of the adjoint of reversible quantum algorithms. For decoherence induced errors such as depolarization, it is presented that provided the depolarization error probability is less than 1, our scheme can exponentially reduce the final output error rate to zero using a number of cycles, and the output state can be coherently sent to another stage of quantum computation process. Besides, experimental set-ups via optical approach have been proposed using Grover's search algorithm as an example. Some further discussion on the benefits and limitations of the scheme is given in the end.
[ { "version": "v1", "created": "Sun, 20 Aug 2006 03:28:33 GMT" }, { "version": "v2", "created": "Thu, 14 Sep 2006 05:23:36 GMT" }, { "version": "v3", "created": "Fri, 24 Nov 2006 02:45:15 GMT" }, { "version": "v4", "created": "Tue, 28 Nov 2006 12:38:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Gong", "Zhe-Xuan", "" ] ]
quant-ph/0608153
Giulio Chiribella
G. Chiribella, G. M. D'Ariano, C. Macchiavello, P. Perinotti, and F. Buscemi
Superbroadcasting and classical information
9 pages, 2 figures
Phys. Rev. A 75, 012315 (2007)
10.1103/PhysRevA.75.012315
null
quant-ph
null
We address the problem of broadcasting N copies of a generic qubit state to M>N copies by estimating its direction and preparing a suitable output state according to the outcome of the estimate. This semiclassical broadcasting protocol is more restrictive than a general one, since it requires an intermediate step where classical information is extracted and processed. However, we prove that a suboptimal superbroadcasting, namely broadcasting with simultaneous purification of the local output states with respect to the input ones, is possible. We show that in the asymptotic limit of $M \to \infty$ the purification rate converges to the optimal one, proving the conjecture that optimal broadcasting and state estimation are asymptotically equivalent. We also show that it is possible to achieve superbroadcasting with simultaneous inversion of the Bloch vector direction (universal NOT). We prove that in this case the semiclassical procedure of state estimation and preparation turns out to be optimal. We finally analyse semiclassical superbroadcasting in the phase-covariant case.
[ { "version": "v1", "created": "Sun, 20 Aug 2006 16:57:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Chiribella", "G.", "" ], [ "D'Ariano", "G. M.", "" ], [ "Macchiavello", "C.", "" ], [ "Perinotti", "P.", "" ], [ "Buscemi", "F.", "" ] ]
quant-ph/0608154
Satoshi Morita
Satoshi Morita and Hidetoshi Nishimori
Convergence theorems for quantum annealing
19 pages
J. Phys. A: Math. Gen. 39 (2006) 13903
10.1088/0305-4470/39/45/004
null
quant-ph cond-mat.dis-nn cond-mat.stat-mech
null
We prove several theorems to give sufficient conditions for convergence of quantum annealing, which is a protocol to solve generic optimization problems by quantum dynamics. In particular the property of strong ergodicity is proved for the path-integral Monte Carlo implementation of quantum annealing for the transverse Ising model under a power decay of the transverse field. This result is to be compared with the much slower inverse-log decay of temperature in the conventional simulated annealing. Similar results are proved for the Green's function Monte Carlo approach. Optimization problems in continuous space of particle configurations are also discussed.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 05:00:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Morita", "Satoshi", "" ], [ "Nishimori", "Hidetoshi", "" ] ]
quant-ph/0608155
Kenichiro Furuta
Kenichiro Furuta
Improving the efficiency of decoding quantum error correction code
null
null
null
null
quant-ph
null
To improve the efficiency of the encoding and the decoding is the important problem in the quantum error correction. In a preceding work, a general algorithm for decoding the stabilizer code is shown. This paper will show an decoding which is more efficient for some codes. The proposed decoding as well as the conventional decoding consists of the eigenvalue output step and the entanglement dissolution step. The proposed decoding outputs a part of the eigenvalues into a part of the code qubits in contrast to the conventional method's outputting into the ancilla. Besides, the proposed decoding dissolves a part of the entanglement in the eigenvalue output step in contrast to the conventional method which does not dissolve in the eigenvalue output step. With these improvements, the number of gates was reduced for some codes.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 05:15:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Furuta", "Kenichiro", "" ] ]
quant-ph/0608156
Boaz Tamir
B. Tamir
Communication Complexity Protocol for Q-trits
8 pages
null
10.1103/PhysRevA.75.032344
null
quant-ph
null
Consider a function where its entries are distributed among many parties. Suppose each party is allowed to transmit only a limited amount of information to a net. One can use a classical protocol to guess the value of the global function. Is there a quantum protocol improving the results of all classical protocols? Brukner et. al. showed the deep connection between such problems and the theory of Bell's inequalities. Here we generalize the theory to trits. There the best classical protocol fails whereas the quantum protocol yields the correct answer.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 07:33:30 GMT" } ]
2015-06-26T00:00:00
[ [ "Tamir", "B.", "" ] ]
quant-ph/0608157
Marco Barbieri
Marco Barbieri, Francesco De Martini, Paolo Mataloni, Giuseppe Vallone, Ad\'an Cabello
Enhancing the Violation of the Einstein-Podolsky-Rosen Local Realism by Quantum Hyper-entanglement
Minor errors corrected. To appear on Physical Review Letters
Phys. Rev. Lett. 97, 140407 (2006)
10.1103/PhysRevLett.97.140407
null
quant-ph
null
Mermin's observation [Phys. Rev. Lett. {\bf 65}, 1838 (1990)] that the magnitude of the violation of local realism, defined as the ratio between the quantum prediction and the classical bound, can grow exponentially with the size of the system is demonstrated using two-photon hyper-entangled states entangled in polarization and path degrees of freedom, and local measurements of polarization and path simultaneously.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 08:10:32 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 14:49:03 GMT" } ]
2009-10-29T00:00:00
[ [ "Barbieri", "Marco", "" ], [ "De Martini", "Francesco", "" ], [ "Mataloni", "Paolo", "" ], [ "Vallone", "Giuseppe", "" ], [ "Cabello", "Adán", "" ] ]
quant-ph/0608158
Lucas Lamata
L. Lamata, J.J. Garcia-Ripoll, J.I. Cirac
How much entanglement can be generated between two atoms by detecting photons?
4 pages, 3 figures, minor improvements, references added, accepted in PRL
Phys. Rev. Lett. 98, 010502 (2007)
10.1103/PhysRevLett.98.010502
null
quant-ph
null
It is possible to achieve an arbitrary amount of entanglement between two atoms using only spontaneously emitted photons, linear optics, single photon sources and projective measurements. This is in contrast to all current experimental proposals for entangling two atoms, which are fundamentally restricted to one entanglement bit or ebit.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 15:49:45 GMT" }, { "version": "v2", "created": "Tue, 14 Nov 2006 09:12:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Lamata", "L.", "" ], [ "Garcia-Ripoll", "J. J.", "" ], [ "Cirac", "J. I.", "" ] ]
quant-ph/0608159
Stephanie Manz
Stephanie Manz, Thomas Fernholz, Joerg Schmiedmayer, and Jian-Wei Pan
Collisional decoherence during writing and reading quantum states
four pages, three figures (minor changes, added references)
Phys. Rev. A 75, 040101(R) (2007)
10.1103/PhysRevA.75.040101
null
quant-ph
null
Collisions, even though they do not limit the lifetime of quantum information stored in ground state hyperfine coherences, may severely limit the fidelity for quantum memory when they happen during the write and read process. This imposes restrictions on the implementation of quantum processes in thermal vapor cells and their performance as a quantum memory. We study the effect of these collisions in our experiment.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 15:56:54 GMT" }, { "version": "v2", "created": "Tue, 22 Aug 2006 09:26:23 GMT" }, { "version": "v3", "created": "Thu, 19 Apr 2007 20:00:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Manz", "Stephanie", "" ], [ "Fernholz", "Thomas", "" ], [ "Schmiedmayer", "Joerg", "" ], [ "Pan", "Jian-Wei", "" ] ]
quant-ph/0608160
Fernando Semi\~ao
F. L. Semi\~ao, R. J. Missori, and K. Furuya
Unconditional Bell-type state generation for spatially separate trapped ions
5 pages, 1 figure, detailed comments on the practical implementation of the scheme is added to replaced version, minor typos fixed, added references with comments
J. Phys. B: At. Mol. Opt. Phys. 40, S221-S228 (2007)
10.1088/0953-4075/40/9/S14
null
quant-ph
null
We propose a scheme for generation of maximally entangled states involving internal electronic degrees of freedom of two distant trapped ions, each of them located in a cavity. This is achieved by using a single flying atom to distribute entanglement. For certain specific interaction times, the proposed scheme leads to the non-probabilistic generation of a perfect Bell-type state. At the end of the protocol, the flying atom completely disentangles from the rest of the system, leaving both ions in a Bell-type state. Moreover, the scheme is insensitive to the cavity field state and cavity losses. We also address the situation in which dephasing and dissipation must be taken into account for the flying atom on its way from one cavity to the other, and discuss the applicability of the resulting noisy channel for performing quantum teleportation.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 20:23:35 GMT" }, { "version": "v2", "created": "Thu, 24 Aug 2006 20:28:31 GMT" }, { "version": "v3", "created": "Mon, 30 Apr 2007 18:34:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Semião", "F. L.", "" ], [ "Missori", "R. J.", "" ], [ "Furuya", "K.", "" ] ]
quant-ph/0608161
Andrew J. Landahl
Andrew M. Childs, Andrew J. Landahl, Pablo A. Parrilo
Improved quantum algorithms for the ordered search problem via semidefinite programming
8 pages, 4 figures
Phys. Rev. A 75, 032335 (2007)
10.1103/PhysRevA.75.032335
null
quant-ph
null
One of the most basic computational problems is the task of finding a desired item in an ordered list of N items. While the best classical algorithm for this problem uses log_2 N queries to the list, a quantum computer can solve the problem using a constant factor fewer queries. However, the precise value of this constant is unknown. By characterizing a class of quantum query algorithms for ordered search in terms of a semidefinite program, we find new quantum algorithms for small instances of the ordered search problem. Extending these algorithms to arbitrarily large instances using recursion, we show that there is an exact quantum ordered search algorithm using 4 log_{605} N \approx 0.433 log_2 N queries, which improves upon the previously best known exact algorithm.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 21:34:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Childs", "Andrew M.", "" ], [ "Landahl", "Andrew J.", "" ], [ "Parrilo", "Pablo A.", "" ] ]
quant-ph/0608162
Rubens Ramos Viana
Jose Claudio do Nascimento, Fabio Alencar Mendonca, Rubens Viana Ramos
Linear optical setups for active and passive quantum error correction in polarization encoded qubits
14 pages, 5 figures
null
null
null
quant-ph
null
In this work, we present active and passive linear optical setups for error correction in quantum communication systems that employ polarization of single-photon and mesoscopic coherent states. Applications in quantum communication systems are described.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 22:02:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Nascimento", "Jose Claudio do", "" ], [ "Mendonca", "Fabio Alencar", "" ], [ "Ramos", "Rubens Viana", "" ] ]
quant-ph/0608163
Kam Wai Clifford Chan
K.W. Chan, J.P. Torres, J.H. Eberly
Transverse Entanglement Migration in Hilbert Space
4 pages, 3 figures
null
10.1103/PhysRevA.75.050101
null
quant-ph
null
We show that, although the amount of mutual entanglement of photons propagating in free space is fixed, the type of correlations between the photons that determine the entanglement can dramatically change during propagation. We show that this amounts to a migration of entanglement in Hilbert space, rather than real space. For the case of spontaneous parametric down conversion, the migration of entanglement in transverse coordinates takes place from modulus to phase of the bi-photon state and back again. We propose an experiment to observe this migration in Hilbert space and to determine the full entanglement.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 22:53:56 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 18:03:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Chan", "K. W.", "" ], [ "Torres", "J. P.", "" ], [ "Eberly", "J. H.", "" ] ]
quant-ph/0608164
Susana F. Huelga
Susana Huelga (UH) and Martin Plenio (Imperial College London)
Stochastic Resonance Phenomena in Quantum Many-Body Systems
Replaced with published version
Phys. Rev. Lett. 98,170601 (2007)
10.1103/PhysRevLett.98.170601
null
quant-ph
null
We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information theoretic measures of the system's response that exhibit a non-monotonic behaviour as a function of the noise strength. We analyze the relation between lack of monotonicity in the response and the presence of quantum correlations and identify parameter regimes where the breakdown of a linear response can be linked to the presence of entanglement. We also show that a chain of coupled spin systems can exhibit an array-enhanced response, where the sensitivity of a single resonator is enhanced as a result of nearest-neighbour coupling. These results enlarge the domain where SR effects exist and should be observable in arrays of superconducting qubits.
[ { "version": "v1", "created": "Mon, 21 Aug 2006 23:02:01 GMT" }, { "version": "v2", "created": "Wed, 25 Apr 2007 13:10:58 GMT" } ]
2013-05-29T00:00:00
[ [ "Huelga", "Susana", "", "UH" ], [ "Plenio", "Martin", "", "Imperial College London" ] ]
quant-ph/0608165
Minh Dung Dang
Minh-Dung Dang
Two-party Models and the No-go Theorems
9 pages, 8 figures. Due to attacks received from reviewers, an important case-study on "coin-flipping-based protocols" is removed. Comments are welcome
null
null
null
quant-ph
null
In this paper, we reconsider the communication model used in the no-go theorems on the impossibility of quantum bit commitment and oblivious transfer. We state that a macroscopic classical channel may not be replaced with a quantum channel which is used in the reduced model proving the no-go theorems. We show that in some restricted cases, the reduced model is insecure while the original model with a classical channel is secure.
[ { "version": "v1", "created": "Tue, 22 Aug 2006 09:03:43 GMT" }, { "version": "v2", "created": "Wed, 30 Aug 2006 17:32:09 GMT" }, { "version": "v3", "created": "Sun, 24 Sep 2006 16:55:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Dang", "Minh-Dung", "" ] ]
quant-ph/0608166
Adan Cabello
Adan Cabello
Bipartite Bell inequalities for hyperentangled states
REVTeX4, 5 pages
Phys. Rev. Lett. 97 (2006) 140406
10.1103/PhysRevLett.97.140406
null
quant-ph
null
We show that bipartite Bell inequalities based on the Einstein-Podolsky-Rosen criterion for elements of reality and derived from the properties of some hyperentangled states allow feasible experimental verifications of the fact that quantum nonlocality grows exponentially with the size of the subsystems, and Bell loophole-free tests with currently available photodetection efficiencies.
[ { "version": "v1", "created": "Tue, 22 Aug 2006 11:33:55 GMT" }, { "version": "v2", "created": "Wed, 30 Aug 2006 02:32:25 GMT" }, { "version": "v3", "created": "Sat, 7 Oct 2006 15:44:29 GMT" } ]
2009-07-28T00:00:00
[ [ "Cabello", "Adan", "" ] ]
quant-ph/0608167
Thomas Marlow
Thomas Marlow
Natural Philosophy and Quantum Theory
7 pages
null
null
null
quant-ph
null
We attempt to show how relationalism might help in understanding Bell's theorem. We also present an analogy with Darwinian evolution in order to pedagogically hint at how one might go about using a theory in which one does not even desire to explain correlations by invoking common causes.
[ { "version": "v1", "created": "Tue, 22 Aug 2006 13:34:31 GMT" }, { "version": "v2", "created": "Wed, 25 Oct 2006 14:33:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Marlow", "Thomas", "" ] ]
quant-ph/0608168
Robabeh Rahimi Darabad
Robabeh Rahimi, Akira SaiToh, Mikio Nakahara, and Masahiro Kitagawa
Single-experiment-detectable multipartite entanglement witness for ensemble quantum computing
9 pages, 5 figures, minor changes have been made
Phys. Rev. A 75, 032317 (2007)
10.1103/PhysRevA.75.032317
null
quant-ph
null
In this paper we provide an operational method to detect multipartite entanglement in ensemble-based quantum computing. This method is based on the concept of entanglement witness. We decompose the entanglement witness for each class of multipartite entanglement into nonlocal operations in addition to local measurements. Individual single qubit measurements are performed simultaneously, hence complete detection of entanglement is performed in a single run experiment. This approach is particularly important for experiments where it is operationally difficult to prepare several copies of an unknown quantum state and in this sense the introduced scheme in this work is superior to the generally used entanglement witnesses that require a number of experiments and preparation of copies of quantum state.
[ { "version": "v1", "created": "Tue, 22 Aug 2006 15:01:41 GMT" }, { "version": "v2", "created": "Thu, 31 Aug 2006 13:28:08 GMT" }, { "version": "v3", "created": "Fri, 29 Dec 2006 08:31:57 GMT" }, { "version": "v4", "created": "Tue, 13 Mar 2007 08:24:18 GMT" } ]
2015-06-26T00:00:00
[ [ "Rahimi", "Robabeh", "" ], [ "SaiToh", "Akira", "" ], [ "Nakahara", "Mikio", "" ], [ "Kitagawa", "Masahiro", "" ] ]
quant-ph/0608169
Seyyad Yahya Mirafzali
S.Y. Mirafzali, M. Sarbishaei
The effect of anisotropy and external magnetic filed on the thermal entanglement in a two-spin-qutrit system
5 pages, 3 figures
null
null
null
quant-ph
null
We study the thermal entanglement in a two-spin-qutrit system with anisotropy in the exchange coupling between two spins. We use the realignment criterion to distinguish the entangled states, and the negativity for measuring the entanglement in this system. We see that the anisotropy can provide an additional parameter for enhancing the entanglement.
[ { "version": "v1", "created": "Tue, 22 Aug 2006 20:10:03 GMT" } ]
2019-08-15T00:00:00
[ [ "Mirafzali", "S. Y.", "" ], [ "Sarbishaei", "M.", "" ] ]
quant-ph/0608170
Kam Wai Clifford Chan
Girish S. Agarwal, Kam Wai Chan, Robert W. Boyd, Hugo Cable, Jonathan P. Dowling
Quantum States of Light Produced by a High-Gain Optical Parametric Amplifier for Use in Quantum Lithography
7 pages, 6 figures
J. Opt. Soc. Am. B 24, 270 (2007)
10.1364/JOSAB.24.000270
null
quant-ph
null
We present a theoretical analysis of the properties of an unseeded optical parametic amplifier (OPA) used as the source of entangled photons for applications in quantum lithography. We first study the dependence of the excitation rate of a two-photon absorber on the intensity of the light leaving the OPA. We find that the rate depends linearly on intensity only for output beams so weak that they contain fewer than one photon per mode. We also study the use of an N-photon absorber for arbitrary N as the recording medium to be used with such a light source. We find that the contrast of the interference pattern and the sharpness of the fringe maxima tend to increase with increasing values of N, but that the density of fringes and thus the limiting resolution does not increase with N. We conclude that the output of an unseeded OPA exciting an N-photon absorber provides an attractive system in which to perform quantum lithography.
[ { "version": "v1", "created": "Tue, 22 Aug 2006 21:28:18 GMT" } ]
2015-06-26T00:00:00
[ [ "Agarwal", "Girish S.", "" ], [ "Chan", "Kam Wai", "" ], [ "Boyd", "Robert W.", "" ], [ "Cable", "Hugo", "" ], [ "Dowling", "Jonathan P.", "" ] ]
quant-ph/0608171
Alex D. Gottlieb
Alex D. Gottlieb, Norbert J. Mauser
Properties of nonfreeness: an entropy measure of electron correlation
20 pages. Submitted to Phys. Rev. B
null
null
null
quant-ph
null
"Nonfreeness" is the (negative of the) difference between the von Neumann entropies of a given many-fermion state and the free state that has the same 1-particle statistics. It also equals the relative entropy of the two states in question, i.e., it is the entropy of the given state relative to the corresponding free state. The nonfreeness of a pure state is the same as its "particle-hole symmetric correlation entropy", a variant of an established measure of electron correlation. But nonfreeness is also defined for mixed states, and this allows one to compare the nonfreeness of subsystems to the nonfreeness of the whole. Nonfreeness of a part does not exceed that in the whole; nonfreeness is additive over independent subsystems; and nonfreeness is superadditive over subsystems that are independent on the 1-particle level.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 02:26:00 GMT" }, { "version": "v2", "created": "Thu, 31 Aug 2006 01:29:45 GMT" }, { "version": "v3", "created": "Tue, 21 Nov 2006 01:44:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Gottlieb", "Alex D.", "" ], [ "Mauser", "Norbert J.", "" ] ]
quant-ph/0608172
Akira Saitoh
Akira SaiToh and Robabeh Rahimi
Population-only decay map for n-qubit n-partite inseparability detection
5 pages, 1 figure, RevTex4, v2 minor grammatical changes, typos corrected
Phys. Rev. A 74, 064305 (2006)
10.1103/PhysRevA.74.064305
null
quant-ph
null
We introduce a new positive linear map for a single qubit. This map is a decay only in populations of a single-qubit density operator. It is shown that an n-fold product of this map may be used for a detection of n-partite inseparability of an n-qubit density operator (i.e., detection of impossibility of representing a density operator in the form of a convex combination of products of density operators of individual qubits). This product map is also investigated in relation to a variant of the entanglement detection method mentioned by Laskowski and Zukowski.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 05:38:22 GMT" }, { "version": "v2", "created": "Thu, 16 Nov 2006 05:20:17 GMT" } ]
2007-05-23T00:00:00
[ [ "SaiToh", "Akira", "" ], [ "Rahimi", "Robabeh", "" ] ]
quant-ph/0608173
Luis L. Sanchez. Soto
Gunnar Bjork, Jose L. Romero, Andrei B. Klimov and Luis L. Sanchez-Soto
Mutually unbiased bases and discrete Wigner functions
9 pages, 6 tables, 6 figures. Accepted for publication in J. Opt. Soc. Am. B, special issue on Optical Quantum Information Science
J. Opt. Soc. Am. B 24, 371--378 (2007)
10.1364/JOSAB.24.000371
null
quant-ph
null
Mutually unbiased bases and discrete Wigner functions are closely, but not uniquely related. Such a connection becomes more interesting when the Hilbert space has a dimension that is a power of a prime $N=d^n$, which describes a composite system of $n$ qudits. Hence, entanglement naturally enters the picture. Although our results are general, we concentrate on the simplest nontrivial example of dimension $N=8=2^3$. It is shown that the number of fundamentally different Wigner functions is severely limited if one simultaneously imposes translational covariance and that the generating operators consist of rotations around two orthogonal axes, acting on the individual qubits only.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 06:54:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Bjork", "Gunnar", "" ], [ "Romero", "Jose L.", "" ], [ "Klimov", "Andrei B.", "" ], [ "Sanchez-Soto", "Luis L.", "" ] ]
quant-ph/0608174
Goren Gordon
Goren Gordon and Gershon Kurizki
Preventing Multipartite Disentanglement by Local Modulations
5 pages, 2 figures
null
10.1103/PhysRevLett.97.110503
null
quant-ph
null
An entangled multipartite system coupled to a zero-temperature bath undergoes rapid disentanglement in many realistic scenarios, due to local, symmetry-breaking, differences in the particle-bath couplings. We show that locally controlled perturbations, addressing each particle individually, can impose a symmetry, and thus allow the existence of decoherence-free multipartite entangled systems in zero-temperature environments.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 09:19:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Gordon", "Goren", "" ], [ "Kurizki", "Gershon", "" ] ]
quant-ph/0608175
Goren Gordon
Goren Gordon, Gershon Kurizki and Abraham G. Kofman
Universal Dynamical Control of Local Decoherence for Multipartite and Multilevel Systems
22 pages, 6 figures
Optics Communications 264, 398 (2006)
10.1016/j.optcom.2006.01.062
null
quant-ph
null
A unified theory is given of dynamically modified decay and decoherence of field-driven multilevel multipartite entangled states that are weakly coupled to zero-temperature baths or undergo random phase fluctuations. The theory allows for arbitrary local differences in their coupling to the environment. Due to such differences, the optimal driving-field modulation to ensure maximal fidelity is found to substantially differ from conventional ``Bang-Bang'' or $\pi$-phase flips of the single-qubit evolution.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 10:02:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Gordon", "Goren", "" ], [ "Kurizki", "Gershon", "" ], [ "Kofman", "Abraham G.", "" ] ]
quant-ph/0608176
Akbar Fahmi Shakib
A. Fahmi and M. Golshani
Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise
15 pages, 5 figures, PHYSICAL REVIEW A 75, 042301 (2007)
PHYSICAL REVIEW A 75, 042301 (2007)
10.1103/PhysRevA.75.042301
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 in $d$-dimensional systems and derive the mutual information of the quantum channels for maximally entangled states and product states coding with correlated noise. Then, we compare fidelity between these states. Our results show that there exists a certain fidelity memory threshold which depends on the dimension of the Hilbert space $(d)$ and the properties of noisy channels. We calculate the classical capacity of a particular correlated noisy channel and show that in order to achieve Holevo limit, we must use $d$ particles with $d$ degrees of freedom. Our results show that entanglement is a useful means to enhance the mutual information. We choose a special non-maximally entangled state and show that in the quasi-classical depolarizing and quantum depolarizing channels, maximum classical capacity in the higher memory channels is given by the maximally entangled state. Hence, our results show that for high error channels in every degree of memory, maximally entangled states have better mutual information.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 10:48:50 GMT" }, { "version": "v2", "created": "Tue, 3 Apr 2007 07:12:22 GMT" }, { "version": "v3", "created": "Wed, 4 Apr 2007 06:03:27 GMT" } ]
2015-06-26T00:00:00
[ [ "Fahmi", "A.", "" ], [ "Golshani", "M.", "" ] ]
quant-ph/0608177
Dimiter Trifonov
O. Cherbal, M. Drir, M. Maamache, and D.A. Trifonov
Fermionic coherent states for pseudo-Hermitian two-level systems
13 pages (Latex, article class), no figures; v2: some amendments in section 2, seven new refs added
J. Phys. A 40 (2007) 1835-1844
10.1088/1751-8113/40/8/010
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce creation and annihilation operators of pseudo-Hermitian fermions for two-level systems described by pseudo-Hermitian Hamiltonian with real eigenvalues. This allows the generalization of the fermionic coherent states approach to such systems. Pseudo-fermionic coherent states are constructed as eigenstates of two pseudo-fermion annihilation operators. These coherent states form a bi-normal and bi-overcomplete system, and their evolution governed by the pseudo-Hermitian Hamiltonian is temporally stable. In terms of the introduced pseudo-fermion operators the two-level system' Hamiltonian takes a factorized form similar to that of a harmonic oscillator.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 12:57:39 GMT" }, { "version": "v2", "created": "Fri, 27 Feb 2009 10:26:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Cherbal", "O.", "" ], [ "Drir", "M.", "" ], [ "Maamache", "M.", "" ], [ "Trifonov", "D. A.", "" ] ]
quant-ph/0608178
Andrew A. Semenov
A.A. Semenov, W. Vogel, M. Khanbekyan, D.-G. Welsch
Determination of quantum-noise parameters of realistic cavities
5 pages, 2 figures
Phys. Rev. A 75, 013807 (2007)
10.1103/PhysRevA.75.013807
null
quant-ph physics.optics
null
A procedure is developed which allows one to measure all the parameters occurring in a complete model [A.A. Semenov et al., Phys. Rev. A 74, 033803 (2006); quant-ph/0603043] of realistic leaky cavities with unwanted noise. The method is based on the reflection of properly chosen test pulses by the cavity.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 13:53:22 GMT" }, { "version": "v2", "created": "Fri, 19 Jan 2007 08:46:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Semenov", "A. A.", "" ], [ "Vogel", "W.", "" ], [ "Khanbekyan", "M.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/0608179
Hongwei Yu
Hongwei Yu and Zhiying Zhu
Spontaneous absorption of an accelerated hydrogen atom near a conducting plane in vacuum
19 pages, no figures, Revtex4
Phys.Rev. D74 (2006) 044032
10.1103/PhysRevD.74.044032
null
quant-ph gr-qc hep-th
null
We study, in the multipolar coupling scheme, a uniformly accelerated multilevel hydrogen atom in interaction with the quantum electromagnetic field near a conducting boundary and separately calculate the contributions of the vacuum fluctuation and radiation reaction to the rate of change of the mean atomic energy. It is found that the perfect balance between the contributions of vacuum fluctuations and radiation reaction that ensures the stability of ground-state atoms is disturbed, making spontaneous transition of ground-state atoms to excited states possible in vacuum with a conducting boundary. The boundary-induced contribution is effectively a nonthermal correction, which enhances or weakens the nonthermal effect already present in the unbounded case, thus possibly making the effect easier to observe. An interesting feature worth being noted is that the nonthermal corrections may vanish for atoms on some particular trajectories.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 14:01:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Yu", "Hongwei", "" ], [ "Zhu", "Zhiying", "" ] ]
quant-ph/0608180
Asish Ganguly
David J. Fernandez C. and Asish Ganguly
Exactly solvable associated Lame potentials and supersymmetric transformations
Annals of Phys.(in press); Present e-mail of AG: [email protected]
AnnalsPhys.322:1143-1161,2007
10.1016/j.aop.2006.07.011
null
quant-ph hep-th math-ph math.MP
null
A systematic procedure to derive exact solutions of the associated Lame equation for an arbitrary value of the energy is presented. Supersymmetric transformations in which the seed solutions have factorization energies inside the gaps are used to generate new exactly solvable potentials; some of them exhibit an interesting property of periodicity defects.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 15:34:13 GMT" } ]
2008-11-26T00:00:00
[ [ "C.", "David J. Fernandez", "" ], [ "Ganguly", "Asish", "" ] ]
quant-ph/0608181
Marco Merkli
M. Merkli, I.M. Sigal, G.P. Berman
Decoherence and Thermalization
null
null
10.1103/PhysRevLett.98.130401
null
quant-ph math-ph math.MP
null
We present a rigorous analysis of the phenomenon of decoherence for general N-level systems coupled to reservoirs of free massless bosonic fields. We apply our general results to the specific case of the qubit. Our approach does not involve master equation approximations and applies to a wide variety of systems which are not explicitly solvable.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 18:10:44 GMT" } ]
2015-06-26T00:00:00
[ [ "Merkli", "M.", "" ], [ "Sigal", "I. M.", "" ], [ "Berman", "G. P.", "" ] ]
quant-ph/0608182
Eric Charron
Eric Charron (PPM), P\'erola Milman (PPM, CERMICS), Arne Keller (PPM), Osman Atabek (PPM)
Quantum phase gate and controlled entanglement with polar molecules
null
Physical Review A / Physical Review A (General Physics); Phys Rev A Gen Phys; Physical Review A (Atomic Molecular and Optical Physics) 75, 3 (26/03/2007) 033414
10.1103/PhysRevA.75.033414
null
quant-ph
null
We propose an alternative scenario for the generation of entanglement between rotational quantum states of two polar molecules. This entanglement arises from dipole-dipole interaction, and is controlled by a sequence of laser pulses simultaneously exciting both molecules. We study the efficiency of the process, and discuss possible experimental implementations with cold molecules trapped in optical lattices or in solid matrices. Finally, various entanglement detection procedures are presented, and their suitability for these two physical situations is analyzed.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 18:15:27 GMT" }, { "version": "v2", "created": "Thu, 1 Feb 2007 14:59:10 GMT" } ]
2016-08-16T00:00:00
[ [ "Charron", "Eric", "", "PPM" ], [ "Milman", "Pérola", "", "PPM, CERMICS" ], [ "Keller", "Arne", "", "PPM" ], [ "Atabek", "Osman", "", "PPM" ] ]
quant-ph/0608183
Felix Bussieres
Felix Bussieres, Yasaman Soudagar, Guido Berlin, Suzanne Lacroix, Nicolas Godbout
Deterministic unitary operations on time-bin qudits for quantum communication
4 pages, 5 figures. One figure replaced
null
null
null
quant-ph
null
We show for the first time how deterministic unitary operations on time-bin qubits encoded in single photon pulses can be realized using fiber optics components that are available with current technology. We also generalize this result to operations on time-bin qudits, i.e. $d$-level systems, and show that this can be done efficiently using 2$\times$2 beamsplitters and phase modulators. Important benefits for experimental quantum communication are highlighted. This work shows how to bridge the gap between current proof-of-principle demonstrations and complete, deterministic experiments.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 19:52:51 GMT" }, { "version": "v2", "created": "Wed, 23 Aug 2006 20:19:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Bussieres", "Felix", "" ], [ "Soudagar", "Yasaman", "" ], [ "Berlin", "Guido", "" ], [ "Lacroix", "Suzanne", "" ], [ "Godbout", "Nicolas", "" ] ]
quant-ph/0608184
Gustavo Garcia Rigolin
Gustavo Rigolin and Marcos C. de Oliveira
Quantification of Continuous Variable Entanglement with only Two Types of Simple Measurements
v1: 4 pages, 1 figure, RevTex4; v2: Title and abstract changed, new discussion paragraph added; v3: published version
Annals of Physics 323, 2172 (2008)
10.1016/j.aop.2008.01.004
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Here we propose an experimental set-up in which it is possible to measure the entanglement of a two-mode Gaussian state, be it pure or mixed, using only simple linear optical devices. After a proper unitary manipulation of the two-mode Gaussian state only number and purity measurements of just one of the modes suffice to give us a complete and exact knowledge of the state's entanglement.
[ { "version": "v1", "created": "Wed, 23 Aug 2006 20:10:47 GMT" }, { "version": "v2", "created": "Tue, 6 Feb 2007 17:07:01 GMT" }, { "version": "v3", "created": "Tue, 12 Aug 2008 04:29:13 GMT" } ]
2015-06-26T00:00:00
[ [ "Rigolin", "Gustavo", "" ], [ "de Oliveira", "Marcos C.", "" ] ]
quant-ph/0608185
Johan Aberg
Johan Aberg, David Kult, Erik Sj\"oqvist, and D.K.L. Oi
Operational approach to the Uhlmann holonomy
Added material, references, and journal references
Physical Review A 75, 032106 (2007)
10.1103/PhysRevA.75.032106
null
quant-ph
null
We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 16:14:10 GMT" }, { "version": "v2", "created": "Sat, 10 Mar 2007 13:09:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Aberg", "Johan", "" ], [ "Kult", "David", "" ], [ "Sjöqvist", "Erik", "" ], [ "Oi", "D. K. L.", "" ] ]
quant-ph/0608186
Kazuyuki Fujii
Kazuyuki Fujii, Hiroshi Oike and Tatsuo Suzuki
More on the Isomorphism $SU(2)\otimes SU(2)\cong SO(4)$
Latex ; 19 pages ; 5 figures ; minor changes. To appear in International Journal of Geometric Methods in Modern Physics (vol.4, no.3)
Int.J.Geom.Meth.Mod.Phys.4:471-485,2007
10.1142/S0219887807002120
null
quant-ph hep-th math-ph math.MP
null
In this paper we revisit the isomorphism $SU(2)\otimes SU(2)\cong SO(4)$ to apply to some subjects in Quantum Computation and Mathematical Physics. The unitary matrix $Q$ by Makhlin giving the isomorphism as an adjoint action is studied and generalized from a different point of view. Some problems are also presented. In particular, the homogeneous manifold $SU(2n)/SO(2n)$ which characterizes entanglements in the case of $n=2$ is studied, and a clear-cut calculation of the universal Yang-Mills action in (hep-th/0602204) is given for the abelian case.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 01:17:07 GMT" }, { "version": "v2", "created": "Fri, 12 Jan 2007 01:17:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Fujii", "Kazuyuki", "" ], [ "Oike", "Hiroshi", "" ], [ "Suzuki", "Tatsuo", "" ] ]
quant-ph/0608187
Jia Xiaojun
Xiaolong Su, Aihong Tan, Xiaojun Jia*, Jing Zhang, Changde Xie, Kunchi Peng
Experimental Preparation of Quadripartite Cluster and GHZ Entangled States for Continuous Variables
null
Phys. Rev. Lett. 98, 070502(2007)
10.1103/PhysRevLett.98.070502
null
quant-ph
null
The cluster states and Greenberger-Horne-Zeilinger (GHZ) states are two different types of multipartite quantum entangled states. We present the first experimental results generating continuous variable quadripartite cluster and GHZ entangled states of electromagnetic fields. Utilizing four two-mode squeezed states of light and linearly optical transformations, the two types of entangled states for amplitude and phase quadratures of light are experimentally produced. The combinations of the measured quadrature variances prove the full inseparability of the generated four subsystems. The presented experimental schemes show that the multipartite entanglement of continuous variables can be deterministically generated with the relatively simple implementation.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 01:32:13 GMT" } ]
2015-06-26T00:00:00
[ [ "Su", "Xiaolong", "" ], [ "Tan", "Aihong", "" ], [ "Jia*", "Xiaojun", "" ], [ "Zhang", "Jing", "" ], [ "Xie", "Changde", "" ], [ "Peng", "Kunchi", "" ] ]
quant-ph/0608188
Yoshiaki Rikitake
Yoshiaki Rikitake and Hiroshi Imamura
Effect of exchange interaction on fidelity of quantum state transfer from a photon qubit to an electron-spin qubit
5 pages, 4 figures, to be published in Phys. Rev. B Rapid Communications
null
10.1103/PhysRevB.74.081307
null
quant-ph
null
We analyzed the fidelity of the quantum state transfer (QST) from a photon-polarization qubit to an electron-spin-polarization qubit in a semiconductor quantum dot, with special attention to the exchange interaction between the electron and the simultaneously created hole. In order to realize a high-fidelity QST we had to separate the electron and hole as soon as possible, since the electron-hole exchange interaction modifies the orientation of the electron spin. Thus, we propose a double-dot structure to separate the electron and hole quickly, and show that the fidelity of the QST can reach as high as 0.996 if the resonant tunneling condition is satisfied.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 06:52:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Rikitake", "Yoshiaki", "" ], [ "Imamura", "Hiroshi", "" ] ]
quant-ph/0608189
Ressa Said
R.S. Said, M.R.B. Wahiddin and B.A. Umarov
Squeezing in multi-mode nonlinear optical state truncation
7 pages, 5 eps figures. Revised manuscript. Accepted for publication in Phys. Lett. A
Phys. Lett. A, 365 (2007) 380-385
10.1016/j.physleta.2007.01.042
null
quant-ph
null
In this paper, we show that multi-mode qubit states produced via nonlinear optical state truncation driven by classical external pumpings exhibit squeezing condition. We restrict our discussions to the two and three-mode cases.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 09:18:38 GMT" }, { "version": "v2", "created": "Fri, 25 Aug 2006 03:41:05 GMT" }, { "version": "v3", "created": "Mon, 11 Sep 2006 10:49:20 GMT" }, { "version": "v4", "created": "Wed, 17 Jan 2007 06:33:53 GMT" } ]
2009-03-10T00:00:00
[ [ "Said", "R. S.", "" ], [ "Wahiddin", "M. R. B.", "" ], [ "Umarov", "B. A.", "" ] ]
quant-ph/0608190
Ruediger Schack
Carlton M. Caves, Christopher A. Fuchs, Ruediger Schack
Subjective probability and quantum certainty
20 pages RevTeX, 1 figure, extensive changes in response to referees' comments
null
null
null
quant-ph
null
In the Bayesian approach to quantum mechanics, probabilities--and thus quantum states--represent an agent's degrees of belief, rather than corresponding to objective properties of physical systems. In this paper we investigate the concept of certainty in quantum mechanics. Particularly, we show how the probability-1 predictions derived from pure quantum states highlight a fundamental difference between our Bayesian approach, on the one hand, and Copenhagen and similar interpretations on the other. We first review the main arguments for the general claim that probabilities always represent degrees of belief. We then argue that a quantum state prepared by some physical device always depends on an agent's prior beliefs, implying that the probability-1 predictions derived from that state also depend on the agent's prior beliefs. Quantum certainty is therefore always some agent's certainty. Conversely, if facts about an experimental setup could imply agent-independent certainty for a measurement outcome, as in many Copenhagen-like interpretations, that outcome would effectively correspond to a preexisting system property. The idea that measurement outcomes occurring with certainty correspond to preexisting system properties is, however, in conflict with locality. We emphasize this by giving a version of an argument of Stairs [A. Stairs, Phil. Sci. 50, 578 (1983)], which applies the Kochen-Specker theorem to an entangled bipartite system.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 10:23:44 GMT" }, { "version": "v2", "created": "Fri, 26 Jan 2007 16:26:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Caves", "Carlton M.", "" ], [ "Fuchs", "Christopher A.", "" ], [ "Schack", "Ruediger", "" ] ]
quant-ph/0608191
Gustavo Lopez
Gustavo V. Lopez and Lorena Lara
Simulation of an entangled state in a chain of three nuclear spins system
8 pages, 6 figures
null
null
null
quant-ph
null
We study the formation of an entangled state in a one-dimensional chain of three nuclear spins system which interact weakly through the Ising type of interaction and taking into account first and second neighbor interactions. We can get this entangled state using two pulses ($\pi/2$ and $\pi$ pulses), and we study the efficiency of getting this entangled state as a function of the ratio of the second neighbor interaction coupling constant to the first neighbor interaction coupling constant ($J'/J$). We found that for $J'/J\ge 0.04$, the entangled state is well defined.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 14:43:24 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 22:26:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Lopez", "Gustavo V.", "" ], [ "Lara", "Lorena", "" ] ]
quant-ph/0608192
Thiago Rodrigues de Oliveira
Thiago R. de Oliveira and A. O. Caldeira
Coherence and Entanglement in a Stern-Gerlach experiment
null
null
null
null
quant-ph
null
We give a simple example of the tight connection between entanglement and coherence for pure bipartite systems showing the double role played by entanglement; it allows for the creation of superpositions of macroscopic objects but at the same time makes subsystems lose their quantum mechanical coherence. For this we study the time evolution of the spin coherence in the Stern-Gerlach (SG) experiment. We also show that, contrary to the naive intuition, the spin coherence is lost before the two beams become separated in the spatial coordinates.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 20:49:11 GMT" } ]
2007-05-23T00:00:00
[ [ "de Oliveira", "Thiago R.", "" ], [ "Caldeira", "A. O.", "" ] ]
quant-ph/0608193
Fernando Semi\~ao
F.L. Semi\~ao and A. Vidiella-Barranco
Two-photon interaction between trapped ions and cavity fields
9 pages, 10 figures
Eur. Phys. J. D 41, 417 (2007)
10.1140/epjd/e2006-00243-7
null
quant-ph
null
In this paper, we generalize the ordinary two-photon Jaynes-Cummings model (TPJCM) by considering the atom (or ion) to be trapped in a simple harmonic well. A typical setup would be an optical cavity containing a single ion in a Paul trap. Due to the inclusion of atomic vibrational motion, the atom-field coupling becomes highly nonlinear what brings out quite different behaviors for the system dynamics when compared to the ordinary TPJCM. In particular, we derive an effective two-photon Hamiltonian with dependence on the number operator of the ion's center-of-mass motion. This dependence occurs both in the cavity induced Stark-shifs and in the ion-field coupling, and its role in the dynamics is illustrated by showing the time evolution of the probability of occupation of the electronic levels for simple initial preparations of the state of the system.
[ { "version": "v1", "created": "Thu, 24 Aug 2006 21:50:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Semião", "F. L.", "" ], [ "Vidiella-Barranco", "A.", "" ] ]
quant-ph/0608194
Gustavo Lopez
Gustavo V. Lopez and Lorena Lara
Numerical simulation of Quantum Teleportation in a chain of three nuclear spins system taking into account second neighbor interaction
11 pages, 7 figures
null
null
null
quant-ph
null
For a one-dimensional chain of three nuclear spins (one half), we make the numerical simulation of quantum teleportation of a given state from one end of the chain to the other end, taking into account first and second neighbor interactions among the spins. It is shown that a well defined teleportation protocol is achieved for a ratio of the first to second neighbor interaction coupling constant of $J'/J\ge 0.04$. We also show that the optimum Rabi's frequency to control the non-resonant effects is dominated by the second neighbor interaction coupling parameter ($J'$).
[ { "version": "v1", "created": "Thu, 24 Aug 2006 23:20:16 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 22:34:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Lopez", "Gustavo V.", "" ], [ "Lara", "Lorena", "" ] ]
quant-ph/0608195
Debbie W. Leung
Karol Horodecki, Michal Horodecki, Pawel Horodecki, Debbie Leung, Jonathan Oppenheim
Quantum key distribution based on private states: unconditional security over untrusted channels with zero quantum capacity
Final version for IEEE TIT
IEEE Transactions on Information Theory Vol 54 Issue 6 p2604-2620 (2008)
10.1109/TIT.2008.921870
null
quant-ph
null
We prove unconditional security for a quantum key distribution (QKD) protocol based on distilling pbits (twisted ebits) [quant-ph/0309110] from an arbitrary untrusted state that is claimed to contain distillable key. Our main result is that we can verify security using only public communication -- via parameter estimation of the given untrusted state. The technique applies even to bound entangled states, thus extending QKD to the regime where the available quantum channel has zero quantum capacity. We also show how to convert our purification-based QKD schemes to prepare-measure schemes.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 00:04:48 GMT" }, { "version": "v2", "created": "Thu, 14 Dec 2006 20:50:07 GMT" }, { "version": "v3", "created": "Tue, 7 Aug 2007 02:53:11 GMT" }, { "version": "v4", "created": "Tue, 9 Oct 2007 19:37:41 GMT" } ]
2016-11-18T00:00:00
[ [ "Horodecki", "Karol", "" ], [ "Horodecki", "Michal", "" ], [ "Horodecki", "Pawel", "" ], [ "Leung", "Debbie", "" ], [ "Oppenheim", "Jonathan", "" ] ]
quant-ph/0608196
Tomoyuki Morimae
Tomoyuki Morimae, Akira Shimizu
Visualization of superposition of macroscopically distinct states
12pages, 21figures
Phys. Rev. A 74, 052111 (2006)
10.1103/PhysRevA.74.052111
null
quant-ph
null
We propose a method of visualizing superpositions of macroscopically distinct states in many-body pure states. We introduce a visualization function, which is a coarse-grained quasi joint probability density for two or more hermitian additive operators. If a state contains superpositions of macroscopically distinct states, one can visualize them by plotting the visualization function for appropriately taken operators. We also explain how to efficiently find appropriate operators for a given state. As examples, we visualize four states containing superpositions of macroscopically distinct states: the ground state of the XY model, that of the Heisenberg antiferromagnet, a state in Shor's factoring algorithm, and a state in Grover's quantum search algorithm. Although the visualization function can take negative values, it becomes non-negative (hence becomes a coarse-grained joint probability density) if the characteristic width of the coarse-graining function used in the visualization function is sufficiently large.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 05:34:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Morimae", "Tomoyuki", "" ], [ "Shimizu", "Akira", "" ] ]
quant-ph/0608197
David Perez-Garcia
D. Perez-Garcia, F. Verstraete, M.M. Wolf, J.I. Cirac
Matrix Product State Representations
Minor changes. To appear in QIC
Quantum Inf. Comput. 7, 401 (2007)
null
null
quant-ph
null
This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 09:05:11 GMT" }, { "version": "v2", "created": "Mon, 14 May 2007 16:05:27 GMT" } ]
2007-08-02T00:00:00
[ [ "Perez-Garcia", "D.", "" ], [ "Verstraete", "F.", "" ], [ "Wolf", "M. M.", "" ], [ "Cirac", "J. I.", "" ] ]
quant-ph/0608198
Masahito Hayashi
Masahito Hayashi
Quantum estimation and the quantum central limit theorem
The original Japanese version of this manuscript was published as an introductory article of quantum estimation in Bulletin of Mathematical Society of Japan, Sugaku, Vol. 55, No. 4, 368--391 (2003); Received September 2, 2002, Published October 24, 2003. It was translated to English by Michikazu Sato and Masahito Hayashi. The essential content of this manuscript is the same as that of the original version, while several descriptions and references are improved. The material in this paper was presented in English in part at Joint MaPhySto and QUANTOP Workshop on Quantum Measurements and Quantum Stochastics, Department of Mathematical Sciences, University of Aarhus, Denmark, 2003, Non-locality of Quantum Mechanics and Statistical Inference, Kyoto Sangyo Univ., Kyoto, 2003, and Special Week on Quantum Statistics, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 2004
American Mathematical Society Translations Series 2, Vol. 277, pp 95 - 123 (2009)
null
null
quant-ph
null
This paper gives a survey about quantum estimation. We also describes the relation between the quantum central limit theorem and the asymptotic bound of mean square error in quantum state estimation.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 11:50:22 GMT" } ]
2009-11-18T00:00:00
[ [ "Hayashi", "Masahito", "" ] ]
quant-ph/0608199
Renato Renner
Matthias Christandl and Artur Ekert and Michal Horodecki and Pawel Horodecki and Jonathan Oppenheim and Renato Renner
Unifying classical and quantum key distillation
full version
Proceedings of the 4th Theory of Cryptography Conference, Lecture Notes in Computer Science vol. 4392, pp. 456-478, 2007
null
null
quant-ph
null
Assume that two distant parties, Alice and Bob, as well as an adversary, Eve, have access to (quantum) systems prepared jointly according to a tripartite state. In addition, Alice and Bob can use local operations and authenticated public classical communication. Their goal is to establish a key which is unknown to Eve. We initiate the study of this scenario as a unification of two standard scenarios: (i) key distillation (agreement) from classical correlations and (ii) key distillation from pure tripartite quantum states. Firstly, we obtain generalisations of fundamental results related to scenarios (i) and (ii), including upper bounds on the key rate. Moreover, based on an embedding of classical distributions into quantum states, we are able to find new connections between protocols and quantities in the standard scenarios (i) and (ii). Secondly, we study specific properties of key distillation protocols. In particular, we show that every protocol that makes use of pre-shared key can be transformed into an equally efficient protocol which needs no pre-shared key. This result is of practical significance as it applies to quantum key distribution (QKD) protocols, but it also implies that the key rate cannot be locked with information on Eve's side. Finally, we exhibit an arbitrarily large separation between the key rate in the standard setting where Eve is equipped with quantum memory and the key rate in a setting where Eve is only given classical memory. This shows that assumptions on the nature of Eve's memory are important in order to determine the correct security threshold in QKD.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 16:25:50 GMT" }, { "version": "v2", "created": "Thu, 21 Dec 2006 13:27:14 GMT" }, { "version": "v3", "created": "Wed, 28 Feb 2007 09:11:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Christandl", "Matthias", "" ], [ "Ekert", "Artur", "" ], [ "Horodecki", "Michal", "" ], [ "Horodecki", "Pawel", "" ], [ "Oppenheim", "Jonathan", "" ], [ "Renner", "Renato", "" ] ]
quant-ph/0608200
Cecilia Cormick
Cecilia Cormick and Juan Pablo Paz
Interference in discrete Wigner functions
10 pages, 5 figures
Phys. Rev. A 74, 062315 (2006) (9 pages)
10.1103/PhysRevA.74.062315
null
quant-ph
null
We analyse some features of the class of discrete Wigner functions that was recently introduced by Gibbons et al. to represent quantum states of systems with power-of-prime dimensional Hilbert spaces [Phys. Rev. A 70, 062101 (2004)]. We consider "cat" states obtained as coherent superpositions of states with positive Wigner function; for such states we show that the oscillations of the discrete Wigner function typically spread over the entire discrete phase-space (including the regions where the two interfering states are localized). This is a generic property which is in sharp contrast with the usual attributes of Wigner functions that make them useful candidates to display the existence of quantum coherence through oscillations. However, it is possible to find subsets of cat states with a natural phase-space representation, in which the oscillatory regions remain localized. We show that this can be done for interesting families of stabilizer states used in quantum error-correcting codes, and illustrate this by analysing the phase-space representation of the five-qubit error-correcting code.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 19:22:33 GMT" } ]
2008-03-31T00:00:00
[ [ "Cormick", "Cecilia", "" ], [ "Paz", "Juan Pablo", "" ] ]
quant-ph/0608201
Barbara Synak-Radtke
Barbara Synak-Radtke, Lukasz Pankowski, Michal Horodecki and Ryszard Horodecki
On some entropic entanglement parameter
9 pages, 1 figure, revtex
null
null
null
quant-ph
null
In this paper we present the quantity, which is an entanglement parameter. Its origin is very intriguing, because its construction is motivated by separability criteria based on uncertainty relation. We show that this quantity is asymptotically continuous. We also find the lower and upper bounds for it. Our entanglement parameter has the same feature as the coherent information: both can be negative. There are also some classes of states for which these quantities coincide with each other.
[ { "version": "v1", "created": "Fri, 25 Aug 2006 21:50:05 GMT" } ]
2016-09-08T00:00:00
[ [ "Synak-Radtke", "Barbara", "" ], [ "Pankowski", "Lukasz", "" ], [ "Horodecki", "Michal", "" ], [ "Horodecki", "Ryszard", "" ] ]
quant-ph/0608202
Paul O'Hara
Paul O'Hara
Entanglement and quantum interference
4 pages, 1 .eps file
null
null
NEIU 06-0825
quant-ph
null
In the history of quantum mechanics, much has been written about the double-slit experiment, and much debate as to its interpretation has ensued. Indeed, to explain the interference patterns for sub-atomic particles, explanations have been given not only in terms of the principle of complementarity and wave-particle duality but also in terms of quantum consciousness and parallel universes. In this paper, the topic will be discussed from the perspective of spin-coupling in the hope of further clarification. We will also suggest that this explanation allows for a realist interpretation of the Afshar Experiment.
[ { "version": "v1", "created": "Sat, 26 Aug 2006 03:44:39 GMT" } ]
2007-05-23T00:00:00
[ [ "O'Hara", "Paul", "" ] ]
quant-ph/0608203
H. T Cui
H. T. Cui, K. Li, X. X. Yi
Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model
6 pages and to be published in Phys.Lett.A
Physics Letters A 360 (2006) 243?C248
10.1016/j.physleta.2006.08.040
null
quant-ph
null
The relation between the geometric phase and quantum phase transition has been discussed in the Lipkin-Meshkov-Glick model. Our calculation shows the ability of geometric phase of the ground state to mark quantum phase transition in this model. The possibility of the geometric phase or its derivatives as the universal order parameter of characterizing quantum phase transitions has been also discussed.
[ { "version": "v1", "created": "Sat, 26 Aug 2006 04:48:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Cui", "H. T.", "" ], [ "Li", "K.", "" ], [ "Yi", "X. X.", "" ] ]
quant-ph/0608204
Salomon S. Mizrahi
M. A. de Ponte, S. S. Mizrahi, and M. H. Y. Moussa
Relaxation- and Decoherence-free subspaces in networks of weakly and strongly coupled resonators
5 pages
null
10.1016/j.aop.2007.03.001
null
quant-ph
null
We consider a network of interacting resonators and analyze the physical ingredients that enable the emergence of relaxation-free and decoherence-free subspaces. We investigate two different situations: i) when the whole network interacts with a common reservoir and ii) when each resonator, strongly coupled to each other, interacts with its own reservoir. Our main result is that both subspaces are generated when all the resonators couple with the same group of reservoir modes, thus building up a correlation (among these modes), which has the potential to shield particular network states against relaxation and/or decoherence.
[ { "version": "v1", "created": "Sat, 26 Aug 2006 21:18:22 GMT" } ]
2009-11-13T00:00:00
[ [ "de Ponte", "M. A.", "" ], [ "Mizrahi", "S. S.", "" ], [ "Moussa", "M. H. Y.", "" ] ]
quant-ph/0608205
J. Q. You
Xiang-bin Wang, J. Q. You, Franco Nori
Measurement-based quantum computation with superconducting charge qubits
4 pages, 1 figure
null
null
null
quant-ph cond-mat.mes-hall cond-mat.supr-con
null
We present a robust method, based only on measurements, to produce superconducting cluster states. The measurement of the current of a few parallel Josephson-junction qubits realizes a novel type of quantum-state selector. Using this selector, one can produce various quantum entangled states and also realize a controlled-NOT gate without requiring an exact control of the interqubit interactions. In particular, cluster states for quantum computation could be produced with only single-qubit measurements.
[ { "version": "v1", "created": "Sun, 27 Aug 2006 05:33:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Xiang-bin", "" ], [ "You", "J. Q.", "" ], [ "Nori", "Franco", "" ] ]
quant-ph/0608206
James P. Crutchfield
Karoline Wiesner and James P. Crutchfield
Computation in Finitary Stochastic and Quantum Processes
25 pages, 16 figures, 1 table; http://cse.ucdavis.edu/~cmg; numerous corrections and updates
null
null
Santa Fe Institute Working Paper 06-09-031
quant-ph
null
We introduce stochastic and quantum finite-state transducers as computation-theoretic models of classical stochastic and quantum finitary processes. Formal process languages, representing the distribution over a process's behaviors, are recognized and generated by suitable specializations. We characterize and compare deterministic and nondeterministic versions, summarizing their relative computational power in a hierarchy of finitary process languages. Quantum finite-state transducers and generators are a first step toward a computation-theoretic analysis of individual, repeatedly measured quantum dynamical systems. They are explored via several physical systems, including an iterated beam splitter, an atom in a magnetic field, and atoms in an ion trap--a special case of which implements the Deutsch quantum algorithm. We show that these systems' behaviors, and so their information processing capacity, depends sensitively on the measurement protocol.
[ { "version": "v1", "created": "Sun, 27 Aug 2006 19:00:26 GMT" }, { "version": "v2", "created": "Fri, 3 Aug 2007 23:09:34 GMT" }, { "version": "v3", "created": "Mon, 17 Dec 2007 14:25:08 GMT" }, { "version": "v4", "created": "Mon, 28 Apr 2008 22:19:02 GMT" } ]
2008-04-29T00:00:00
[ [ "Wiesner", "Karoline", "" ], [ "Crutchfield", "James P.", "" ] ]
quant-ph/0608207
Gang Chen
Gang Chen, Juqi Li, J.-Q. Liang
Critical Property of Geometric Phase in the Dicke Model
1 figure
null
10.1103/PhysRevA.74.054101
null
quant-ph
null
We obtain the ground-state energy level and associated geometric phase in the Dicke model analytically by means of the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit. The non-adiabatic geometric phase induced by the photon field is derived with the time-dependent unitary transformation. It is shown that the quantum phase transition characterized by the non-analyticity of the geometric phase is remarkably of the first-order. We also investigate the scaling behavior of the geometric phase at the critical point, which can be measured in a practical experiment to detect the quantum phase transition.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 06:22:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Gang", "" ], [ "Li", "Juqi", "" ], [ "Liang", "J. -Q.", "" ] ]
quant-ph/0608208
Mahmoud Abdel-Aty
Mahmoud Abdel-Aty, M. R. B. Wahiddin and A.-S. F. Obada
Generation of three-qubit entangled states using coupled multi-quantum dots
8 pages, 2 figures
null
10.1002/lapl.200610126
null
quant-ph
null
We discuss a mechanism for generating a maximum entangled state (GHZ) in a coupled quantum dots system, based on analytical techniques. The reliable generation of such states is crucial for implementing solid-state based quantum information schemes. The signature originates from a remarkably weak field pulse or a far off-resonance effects which could be implemented using technology that is currently being developed. The results are illustrated with an application to a specific wide-gap semiconductor quantum dots system, like Zinc Selenide (ZnSe) based quantum dots.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 06:55:55 GMT" } ]
2015-06-26T00:00:00
[ [ "Abdel-Aty", "Mahmoud", "" ], [ "Wahiddin", "M. R. B.", "" ], [ "Obada", "A. -S. F.", "" ] ]
quant-ph/0608209
Hongbao Zhang
Yi Ling, Song He, Weigang Qiu, and Hongbao Zhang
Quantum Entanglement of Electromagnetic Fields in Non-inertial Reference Frames
more explanatory material added in the introduction, version to appear in Journal of Physics A
J.Phys.A40:9025-9032,2007
10.1088/1751-8113/40/30/024
null
quant-ph gr-qc hep-th
null
Recently relativistic quantum information has received considerable attention due to its theoretical importance and practical application. Especially, quantum entanglement in non-inertial reference frames has been studied for scalar and Dirac fields. As a further step along this line, we here shall investigate quantum entanglement of electromagnetic fields in non-inertial reference frames. In particular, the entanglement of photon helicity entangled state is extensively analyzed. Interestingly, the resultant logarithmic negativity and mutual information remain the same as those for inertial reference frames, which is completely different from that previously obtained for the particle number entangled state.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 08:03:14 GMT" }, { "version": "v2", "created": "Wed, 30 Aug 2006 11:36:50 GMT" }, { "version": "v3", "created": "Mon, 4 Sep 2006 08:54:55 GMT" }, { "version": "v4", "created": "Thu, 3 May 2007 03:54:58 GMT" }, { "version": "v5", "created": "Fri, 8 Jun 2007 03:47:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Ling", "Yi", "" ], [ "He", "Song", "" ], [ "Qiu", "Weigang", "" ], [ "Zhang", "Hongbao", "" ] ]
quant-ph/0608210
Bo Wang
Bo Wang, Yanxu Han, Jintao Xiao, Xudong Yang, Changde Xie, Hai Wang, Min Xiao
Multi-dark-state resonances in cold multi-Zeeman-sublevel atoms
11pages, 4figures
null
10.1364/OL.31.003647
null
quant-ph
null
We present our experimental and theoretical studies of multi-dark-state resonances (MDSRs) generated in a unique cold rubidium atomic system with only one coupling laser beam. Such MDSRs are caused by different transition strengths of the strong coupling beam connecting different Zeeman sublevels. Controlling the transparency windows in such electromagnetically induced transparency system can have potential applications in multi-wavelength optical communication and quantum information processing.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 08:32:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Bo", "" ], [ "Han", "Yanxu", "" ], [ "Xiao", "Jintao", "" ], [ "Yang", "Xudong", "" ], [ "Xie", "Changde", "" ], [ "Wang", "Hai", "" ], [ "Xiao", "Min", "" ] ]
quant-ph/0608211
Koray Duztas
Ibrahim Semiz and Koray Duztas
On the exactness of the Semi-Classical Approximation for Non-Relativistic One Dimensional Propagators
7 pages, latex, no figures, published in journal of physics A
journal of physics A: Math. Gen. Vol:39 p.14681, 2006
10.1088/0305-4470/39/47/011
null
quant-ph
null
For one dimensional non-relativistic quantum mechanical problems, we investigate the conditions for all the position dependence of the propagator to be in its phase, that is, the semi-classical approximation to be exact. For velocity independent potentials we find that: (i) the potential must be quadratic in space, but can have arbitrary time dependence. (ii) the phase may be made proportional to the classical action, and the magnitude (``fluctuation factor'') can also be found from the classical solution. (iii) for the driven harmonic oscillator the fluctuation factor is independent of the driving term.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 09:18:42 GMT" }, { "version": "v2", "created": "Thu, 16 Nov 2006 15:25:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Semiz", "Ibrahim", "" ], [ "Duztas", "Koray", "" ] ]
quant-ph/0608212
Sahel Ashhab
S. Ashhab, J. R. Johansson, Franco Nori
Decoherence in a scalable adiabatic quantum computer
6 pages (two-column), 1 figure
Phys. Rev. A 74, 052330 (2006)
10.1103/PhysRevA.74.052330
null
quant-ph cond-mat.other
null
We consider the effects of decoherence on Landau-Zener crossings encountered in a large-scale adiabatic-quantum-computing setup. We analyze the dependence of the success probability, i.e. the probability for the system to end up in its new ground state, on the noise amplitude and correlation time. We determine the optimal sweep rate that is required to maximize the success probability. We then discuss the scaling of decoherence effects with increasing system size. We find that those effects can be important for large systems, even if they are small for each of the small building blocks.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 09:45:59 GMT" }, { "version": "v2", "created": "Wed, 22 Nov 2006 06:55:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Ashhab", "S.", "" ], [ "Johansson", "J. R.", "" ], [ "Nori", "Franco", "" ] ]
quant-ph/0608213
Joanna Duligall
J. L. Duligall, M. S. Godfrey, K. A. Harrison, W. J. Munro, J. G. Rarity
Low Cost and Compact Quantum Cryptography
18 pages, 9 figures, to be published in New Journal of Physics
New J. Phys. 8 (2006) 249
10.1088/1367-2630/8/10/249
null
quant-ph
null
We present the design of a novel free-space quantum cryptography system, complete with purpose-built software, that can operate in daylight conditions. The transmitter and receiver modules are built using inexpensive off-the-shelf components. Both modules are compact allowing the generation of renewed shared secrets on demand over a short range of a few metres. An analysis of the software is shown as well as results of error rates and therefore shared secret yields at varying background light levels. As the system is designed to eventually work in short-range consumer applications, we also present a use scenario where the consumer can regularly 'top up' a store of secrets for use in a variety of one-time-pad and authentication protocols.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 10:59:22 GMT" }, { "version": "v2", "created": "Tue, 3 Oct 2006 10:30:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Duligall", "J. L.", "" ], [ "Godfrey", "M. S.", "" ], [ "Harrison", "K. A.", "" ], [ "Munro", "W. J.", "" ], [ "Rarity", "J. G.", "" ] ]
quant-ph/0608214
Michael Fleischhauer
F. E. Zimmer, M. Fleischhauer
Quantum sensitivity limit of a Sagnac hybrid interferometer based on slow-light propagation in ultra-cold gases
12 pages, 6 figures
null
10.1103/PhysRevA.74.063609
null
quant-ph
null
The light--matter-wave Sagnac interferometer based on ultra-slow light proposed recently in (Phys. Rev. Lett. 92, 253201 (2004)) is analyzed in detail. In particular the effect of confining potentials is examined and it is shown that the ultra-slow light attains a rotational phase shift equivalent to that of a matter wave, if and only if the coherence transfer from light to atoms associated with slow light is associated with a momentum transfer and if an ultra-cold gas in a ring trap is used. The quantum sensitivity limit of the Sagnac interferometer is determined and the minimum detectable rotation rate calculated. It is shown that the slow-light interferometer allows for a significantly higher signal-to-noise ratio as possible in current matter-wave gyroscopes.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 12:33:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Zimmer", "F. E.", "" ], [ "Fleischhauer", "M.", "" ] ]