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quant-ph/0605142
Thomas Marlow
Thomas Marlow
Into the Fold: Searching for a Theory of Natural Inference
9 pages; v2: minor corrections v3: minor discussion added
null
null
null
quant-ph gr-qc
null
We introduce relationalism and discuss how it is useful for interpreting probability theory and quantum mechanics. This paper is written in relatively lay terms and presumes no prior knowledge of quantum theory.
[ { "version": "v1", "created": "Tue, 16 May 2006 16:00:08 GMT" }, { "version": "v2", "created": "Fri, 19 May 2006 11:25:29 GMT" }, { "version": "v3", "created": "Wed, 25 Oct 2006 14:47:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Marlow", "Thomas", "" ] ]
quant-ph/0605143
David Menzies
David Menzies and Natalia Korolkova
Procrustean entanglement concentration of continuous variable states of light
6 pages, 3 figures; Typos corrected, References added and conclusion extended, Accepted for publication in Physical Review A
Phys. Rev A, 74, 042315 (2006).
10.1103/PhysRevA.74.042315
null
quant-ph
null
We propose a Procrustean entanglement concentration scheme for continuous variable states inspired by the scheme proposed in Fiurasek et. al. Phys. Rev. A 67, 022304, (2003). We show that the eight-port homodyne measurement of Fiurasek et. al. Phys. Rev. A 67, 022304, (2003) can be replaced by a balanced homodyne measurement with the advantage of providing a success criterion that allows Alice and Bob to determine if entanglement concentration was achieved. In addition, it facilitates a straightforward and feasible experimental implementation.
[ { "version": "v1", "created": "Tue, 16 May 2006 17:25:12 GMT" }, { "version": "v2", "created": "Wed, 17 May 2006 16:08:51 GMT" }, { "version": "v3", "created": "Fri, 8 Sep 2006 10:56:24 GMT" } ]
2007-11-01T00:00:00
[ [ "Menzies", "David", "" ], [ "Korolkova", "Natalia", "" ] ]
quant-ph/0605144
Michele Caponigro
Michele Caponigro, Stefano Mancini, Vladimir I. Man'ko
A probabilistic approach to quantum mechanics based on tomograms
null
Forteschritte der Physik Vol.54, N.7 pp.602-612 (2006).
10.1002/prop.200610304
null
quant-ph
null
It is usually believed that a picture of Quantum Mechanics in terms of true probabilities cannot be given due to the uncertainty relations. Here we discuss a tomographic approach to quantum states that leads to a probability representation of quantum states. This can be regarded as a classical-like formulation of quantum mechanics which avoids the counterintuitive concepts of wave function and density operator. The relevant concepts of quantum mechanics are then reconsidered and the epistemological implications of such approach discussed.
[ { "version": "v1", "created": "Tue, 16 May 2006 18:26:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Caponigro", "Michele", "" ], [ "Mancini", "Stefano", "" ], [ "Man'ko", "Vladimir I.", "" ] ]
quant-ph/0605145
Wesley B. Cardoso
W. B. Cardoso and N. G. de Almeida
Statistical properties of the truncated state with random coefficients
7 pages, 11 figures, accept for publication in Physics Letters A
Physics Letters A 356 (2006) 104-109
10.1016/j.physleta.2006.03.032
null
quant-ph
null
In this Letter we introduce the truncated state with random coefficients (TSRC). As the coefficients of the TSRC have in principle no algorithm to produce them, our question is concerned about to what type of properties will characterize the TSRC. A general method to engineer TSRC in the running-wave domain is employed, which includes the errors due to the nonidealities of detectors and photocounts.
[ { "version": "v1", "created": "Tue, 16 May 2006 20:08:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Cardoso", "W. B.", "" ], [ "de Almeida", "N. G.", "" ] ]
quant-ph/0605146
Adam Miranowicz
Adam Miranowicz, Sahin Kaya Ozdemir, Jiri Bajer, Masato Koashi, Nobuyuki Imoto
Selective truncations of an optical state using projection synthesis
4 pages, 2 figures
J. Opt. Soc. Am. B 24, 379-383 (2007)
10.1364/JOSAB.24.000379
null
quant-ph
null
Selective truncation of Fock-state expansion of an optical field can be achieved using projection synthesis. The process removes predetermined Fock states from the input field by conditional measurement and teleportation. We present a scheme based on multiport interferometry to perform projection synthesis. This scheme can be used both as a generalized quantum scissors device, which filters out Fock states with photon numbers higher than a predetermined value, and also as a quantum punching device, which selectively removes specific Fock states making holes in the Fock-state expansion of the input field.
[ { "version": "v1", "created": "Tue, 16 May 2006 20:51:35 GMT" } ]
2009-08-03T00:00:00
[ [ "Miranowicz", "Adam", "" ], [ "Ozdemir", "Sahin Kaya", "" ], [ "Bajer", "Jiri", "" ], [ "Koashi", "Masato", "" ], [ "Imoto", "Nobuyuki", "" ] ]
quant-ph/0605147
Iris Reichenbach
Iris Reichenbach, Andrew Silberfarb, Rene Stock, Ivan H. Deutsch
A quasi-Hermitian pseudopotential for higher partial wave scattering
8 pages, 4 figures, accepted by PRA v3: some typos were corrected, published version
Phys. Rev. A 74, 042724 (2006)
10.1103/PhysRevA.74.042724
null
quant-ph cond-mat.other physics.atom-ph
null
We formulate a new quasi-Hermitian delta-shell pseudopotential for higher partial wave scattering, and show that any such potential must have an energy-dependent regularization. The quasi-Hermiticity of the Hamiltonian leads to a complete set of biorthogonal wave functions that can be used as a basis to expand and diagonalize other two-body Hamiltonians. We demonstrate this procedure for the case of ultracold atoms in a polarization-gradient optical lattice, interacting pairwise when two atoms are transported together from separated lattice sites. Here the pseudopotential depends explicitly on the trapping potential. Additionally, we calculate the location of trap-induced resonances for higher partial waves, which occur when a molecular eigenstate is shifted to resonance with a trap eigenstate. We verify the accuracy of the pseudopotential approach using a toy model in which a square well acts as the true interaction potential, and see excellent agreement.
[ { "version": "v1", "created": "Wed, 17 May 2006 03:19:33 GMT" }, { "version": "v2", "created": "Thu, 21 Sep 2006 19:01:12 GMT" }, { "version": "v3", "created": "Sat, 18 Nov 2006 01:51:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Reichenbach", "Iris", "" ], [ "Silberfarb", "Andrew", "" ], [ "Stock", "Rene", "" ], [ "Deutsch", "Ivan H.", "" ] ]
quant-ph/0605148
Tsuyoshi Ito
David Avis (1), Hiroshi Imai (2 and 3) and Tsuyoshi Ito (2 and 4) ((1) McGill University, (2) The University of Tokyo, (3) Japan Science and Technology Agency, (4) Japan Society for the Promotion of Science)
On the Relationship between Convex Bodies Related to Correlation Experiments with Dichotomic Observables
17 pages, 2 figures
null
10.1088/0305-4470/39/36/010
null
quant-ph
null
In this paper we explore further the connections between convex bodies related to quantum correlation experiments with dichotomic variables and related bodies studied in combinatorial optimization, especially cut polyhedra. Such a relationship was established in Avis, Imai, Ito and Sasaki (2005 J. Phys. A: Math. Gen. 38 10971-87) with respect to Bell inequalities. We show that several well known bodies related to cut polyhedra are equivalent to bodies such as those defined by Tsirelson (1993 Hadronic J. S. 8 329-45) to represent hidden deterministic behaviors, quantum behaviors, and no-signalling behaviors. Among other things, our results allow a unique representation of these bodies, give a necessary condition for vertices of the no-signalling polytope, and give a method for bounding the quantum violation of Bell inequalities by means of a body that contains the set of quantum behaviors. Optimization over this latter body may be performed efficiently by semidefinite programming. In the second part of the paper we apply these results to the study of classical correlation functions. We provide a complete list of tight inequalities for the two party case with (m,n) dichotomic observables when m=4,n=4 and when min{m,n}<=3, and give a new general family of correlation inequalities.
[ { "version": "v1", "created": "Wed, 17 May 2006 05:41:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Avis", "David", "", "2 and 3" ], [ "Imai", "Hiroshi", "", "2 and 3" ], [ "Ito", "Tsuyoshi", "", "2 and 4" ] ]
quant-ph/0605149
Brian J. Smith
Brian J. Smith and M. G. Raymer
Two-photon wave mechanics
5 pages, 2 figures
Phys. Rev. A 74, 062104 (2006)
10.1103/PhysRevA.74.062104
null
quant-ph
null
The position-representation wave function for multi-photon states and its equation of motion are introduced. A major strength of the theory is that it describes the complete evolution (including polarization and entanglement) of multi-photon states propagating through inhomogeneous media. As a demonstration of the two-photon wave function's use, we show how two photons in an orbital-angular-momentum entangled state decohere upon propagation through a turbulent atmosphere.
[ { "version": "v1", "created": "Wed, 17 May 2006 06:16:50 GMT" }, { "version": "v2", "created": "Fri, 16 Feb 2007 17:49:07 GMT" }, { "version": "v3", "created": "Wed, 21 Feb 2007 10:56:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Smith", "Brian J.", "" ], [ "Raymer", "M. G.", "" ] ]
quant-ph/0605150
Maciej Liskiewicz
Andreas Jakoby, Maciej Liskiewicz, and Aleksander Madry
Using quantum oblivious transfer to cheat sensitive quantum bit commitment
12 pages
null
null
null
quant-ph cs.CR
null
It is well known that unconditionally secure bit commitment is impossible even in the quantum world. In this paper a weak variant of quantum bit commitment, introduced independently by Aharonov et al. [STOC, 2000] and Hardy and Kent [Phys. Rev. Lett. 92 (2004)] is investigated. In this variant, the parties require some nonzero probability of detecting a cheating, i.e. if Bob, who commits a bit b to Alice, changes his mind during the revealing phase then Alice detects the cheating with a positive probability (we call this property binding); and if Alice gains information about the committed bit before the revealing phase then Bob discovers this with positive probability (sealing). In our paper we give quantum bit commitment scheme that is simultaneously binding and sealing and we show that if a cheating gives epsilon advantage to a malicious Alice then Bob can detect the cheating with a probability Omega(epsilon^2). If Bob cheats then Alice's probability of detecting the cheating is greater than some fixed constant lambda>0. This improves the probabilities of cheating detections shown by Hardy and Kent and the scheme by Aharonov et al. who presented a protocol that is either binding or sealing, but not simultaneously both. To construct a cheat sensitive quantum bit commitment scheme we use a protocol for a weak quantum one-out-of-two oblivious transfer.
[ { "version": "v1", "created": "Wed, 17 May 2006 06:30:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Jakoby", "Andreas", "" ], [ "Liskiewicz", "Maciej", "" ], [ "Madry", "Aleksander", "" ] ]
quant-ph/0605151
Levay Peter
P\'eter L\'evay
On the geometry of four qubit invariants
19 pages
J. Phys. A: Math. Gen. 39 (2006) 9533-9545
10.1088/0305-4470/39/30/009
null
quant-ph math-ph math.MP
null
The geometry of four-qubit entanglement is investigated. We replace some of the polynomial invariants for four-qubits introduced recently by new ones of direct geometrical meaning. It is shown that these invariants describe four points, six lines and four planes in complex projective space ${\bf CP}^3$. For the generic entanglement class of stochastic local operations and classical communication they take a very simple form related to the elementary symmetric polynomials in four complex variables. Moreover, their magnitudes are entanglement monotones that fit nicely into the geometric set of $n$-qubit ones related to Grassmannians of $l$-planes found recently. We also show that in terms of these invariants the hyperdeterminant of order 24 in the four-qubit amplitudes takes a more instructive form than the previously published expressions available in the literature. Finally in order to understand two, three and four-qubit entanglement in geometric terms we propose a unified setting based on ${\bf CP}^3$ furnished with a fixed quadric.
[ { "version": "v1", "created": "Wed, 17 May 2006 07:30:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Lévay", "Péter", "" ] ]
quant-ph/0605152
Roger Andrews Dr
A T Joseph1, R Andrews1, E R Pike2 and S Sarkar2
Phase-modulated shaping of narrowband type-I parametric down-converted photons
null
null
null
null
quant-ph
null
We present a general theoretical description of the temporal shaping of narrowband noncollinear type-I down-converted photons using a spectral phase filter with a symmetric phase distribution. By manipulating the spectral phase of the signal or idler photon, we demonstrate control of the correlation time and shape of the two-photon wave function with modulation frequency and modulation depth of the phase distribution.
[ { "version": "v1", "created": "Wed, 17 May 2006 13:02:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Joseph1", "A T", "" ], [ "Andrews1", "R", "" ], [ "Pike2", "E R", "" ], [ "Sarkar2", "S", "" ] ]
quant-ph/0605153
Feng Pan
Feng Pan, and J. P. Draayer
M-body Pure State Entanglement
9 pages, 2 figures
International Journal of Quantum Information 4 (2006) 965
null
null
quant-ph cond-mat.mes-hall
null
The simple entanglement of N-body N-particle pure states is extended to the more general M-body or M-body N-particle states where $N\neq M$. Some new features of the M-body N-particle pure states are discussed. An application of the measure to quantify quantum correlations in a Bose-Einstien condensate model is demonstrated.
[ { "version": "v1", "created": "Wed, 17 May 2006 15:09:43 GMT" }, { "version": "v2", "created": "Sun, 14 Jan 2007 16:43:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Pan", "Feng", "" ], [ "Draayer", "J. P.", "" ] ]
quant-ph/0605154
Evgeny Shchukin
E. Shchukin and W. Vogel
Multipartite continuous-variable entanglement
4 pages, 1 figures, modified and corrected version
null
10.1103/PhysRevA.74.030302
null
quant-ph
null
Necessary and sufficient observable conditions for the nonnegativity of all partial transpositions of multi-mode quantum states are derived. The result is a hierarchy of inequalities for minors in terms of moments of the given state. Violations of any inequality is a sufficient condition for entanglement. Full entanglement can be certified for a manifold of multi-mode quantum states. A \textit{Mathematica} package is given for a systematic test of the hierarchy of conditions.
[ { "version": "v1", "created": "Wed, 17 May 2006 18:25:27 GMT" }, { "version": "v2", "created": "Wed, 14 Jun 2006 08:56:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Shchukin", "E.", "" ], [ "Vogel", "W.", "" ] ]
quant-ph/0605155
Daniel Cavalcanti
Daniel Cavalcanti and Marcelo O. Terra Cunha
Estimating entanglement of unknown states
3 pages, 1 figure. Comments welcome. V2: references updated. Accepted version by Applied Physics Letters
Appl. Phys. Lett. 89, 084102 (2006)
10.1063/1.2337535
null
quant-ph cond-mat.str-el
null
The experimental determination of entanglement is a major goal in the quantum information field. In general the knowledge of the state is required in order to quantify its entanglement. Here we express a lower bound to the robustness of entanglement of a state based only on the measurement of the energy observable and on the calculation of a separability energy. This allows the estimation of entanglement dismissing the knowledge of the state in question.
[ { "version": "v1", "created": "Wed, 17 May 2006 21:06:43 GMT" }, { "version": "v2", "created": "Fri, 18 Aug 2006 18:32:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Cavalcanti", "Daniel", "" ], [ "Cunha", "Marcelo O. Terra", "" ] ]
quant-ph/0605156
Mary Beth Ruskai
Percy Deift, Mary Beth Ruskai and Wolfgang Spitzer
Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution
null
Quantum Inf. Process 6, 121-125 (2007)
null
null
quant-ph
null
We use elementary variational arguments to prove, and improve on, gap estimates which arise in simulating quantum circuits by adiabatic evolution.
[ { "version": "v1", "created": "Wed, 17 May 2006 21:38:23 GMT" } ]
2009-01-14T00:00:00
[ [ "Deift", "Percy", "" ], [ "Ruskai", "Mary Beth", "" ], [ "Spitzer", "Wolfgang", "" ] ]
quant-ph/0605157
Asoka Biswas
Asoka Biswas and Daniel A. Lidar
Robust transmission of non-Gaussian entanglement over optical fibers
9 pages, 2 figures, RevTeX4, submitted to PRA
Phys. Rev. A 74, 062303 (2006)
10.1103/PhysRevA.74.062303
null
quant-ph
null
We show how the entanglement in a wide range of continuous variable non-Gaussian states can be preserved against decoherence for long-range quantum communication through an optical fiber. We apply protection via decoherence-free subspaces and quantum dynamical decoupling to this end. The latter is implemented by inserting phase shifters at regular intervals $\Delta $ inside the fiber, where $\Delta $ is roughly the ratio of the speed of light in the fiber to the bath high-frequency cutoff. Detailed estimates of relevant parameters are provided using the boson-boson model of system-bath interaction for silica fibers, and $\Delta $ is found to be on the order of a millimeter.
[ { "version": "v1", "created": "Wed, 17 May 2006 22:09:37 GMT" } ]
2016-08-08T00:00:00
[ [ "Biswas", "Asoka", "" ], [ "Lidar", "Daniel A.", "" ] ]
quant-ph/0605158
Massimiliano Federico Sacchi
Massimiliano F. Sacchi
Information-disturbance tradeoff in estimating a maximally entangled state
4 pages. Accepted for publication on Physical Review Letters
Phys. Rev. Lett. 96, 220502 (2006)
10.1103/PhysRevLett.96.220502
null
quant-ph
null
We derive the amount of information retrieved by a quantum measurement in estimating an unknown maximally entangled state, along with the pertaining disturbance on the state itself. The optimal tradeoff between information and disturbance is obtained, and a corresponding optimal measurement is provided.
[ { "version": "v1", "created": "Thu, 18 May 2006 08:07:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Sacchi", "Massimiliano F.", "" ] ]
quant-ph/0605159
Sergey Peletminskii
Sergey V. Peletminskii and Yuriy V. Slyusarenko
Second quantization method in the presence of bound states of particles
35 pages
J.Math.Phys. 46 (2005) 022301
10.1063/1.1812359
null
quant-ph cond-mat.stat-mech
null
We develop an approximate second quantization method for describing the many-particle systems in the presence of bound states of particles at low energies (the kinetic energy of particles is small in comparison to the binding energy of compound particles). In this approximation the compound and elementary particles are considered on an equal basis. This means that creation and annihilation operators of compound particles can be introduced. The Hamiltonians, which specify the interactions between compound and elementary particles and between compound particles themselves are found in terms of the interaction amplitudes for elementary particles. The nonrelativistic quantum electrodynamics is developed for systems containing both elementary and compound particles. Some applications of this theory are considered.
[ { "version": "v1", "created": "Thu, 18 May 2006 12:24:25 GMT" } ]
2015-06-26T00:00:00
[ [ "Peletminskii", "Sergey V.", "" ], [ "Slyusarenko", "Yuriy V.", "" ] ]
quant-ph/0605160
Shubeur Rahman Mr
S. Rahman, T. M. Stace, H. P. Langtangen, M. Kakaoka and C. H. W. Barnes
Pulse-induced acoustoelectric vibrations in surface-gated GaAs-based quantum devices
To be published in Phys. Rev. B
Phys. Rev. B, 75, 205303, (2007)
10.1103/PhysRevB.75.205303
null
quant-ph
null
We present the results of a numerical investigation which show the excitation of acoustoelectric modes of vibration in GaAs-based heterostructures due to sharp nano-second electric-field pulses applied across surface gates. In particular, we show that the pulses applied in quantum information processing applications are capable of exciting acoustoelectric modes of vibration including surface acoustic modes which propagate for distances greater than conventional device dimensions. We show that the pulse-induced acoustoelectric vibrations are capable of inducing significant undesired perturbations to the evolution of quantum systems.
[ { "version": "v1", "created": "Thu, 18 May 2006 10:02:30 GMT" }, { "version": "v2", "created": "Wed, 24 May 2006 15:10:33 GMT" }, { "version": "v3", "created": "Wed, 27 Sep 2006 17:12:24 GMT" }, { "version": "v4", "created": "Thu, 22 Mar 2007 09:30:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Rahman", "S.", "" ], [ "Stace", "T. M.", "" ], [ "Langtangen", "H. P.", "" ], [ "Kakaoka", "M.", "" ], [ "Barnes", "C. H. W.", "" ] ]
quant-ph/0605161
Madalin Guta
Madalin Guta and Keiji Matsumoto
Optimal cloning of mixed Gaussian states
8 pages, 1 figure; proof of general form of covariant amplifiers added
Phys. Rev A, 74, 032305 (2006)
10.1103/PhysRevA.74.032305
null
quant-ph
null
We construct the optimal 1 to 2 cloning transformation for the family of displaced thermal equilibrium states of a harmonic oscillator, with a fixed and known temperature. The transformation is Gaussian and it is optimal with respect to the figure of merit based on the joint output state and norm distance. The proof of the result is based on the equivalence between the optimal cloning problem and that of optimal amplification of Gaussian states which is then reduced to an optimization problem for diagonal states of a quantum oscillator. A key concept in finding the optimum is that of stochastic ordering which plays a similar role in the purely classical problem of Gaussian cloning. The result is then extended to the case of n to m cloning of mixed Gaussian states.
[ { "version": "v1", "created": "Thu, 18 May 2006 10:48:10 GMT" }, { "version": "v2", "created": "Fri, 16 Jun 2006 14:14:29 GMT" } ]
2011-06-23T00:00:00
[ [ "Guta", "Madalin", "" ], [ "Matsumoto", "Keiji", "" ] ]
quant-ph/0605162
Bruno Galvan
Bruno Galvan
Typicality vs. probability in trajectory-based formulations of quantum mechanics
24 pages, no figures. To appear in Foundation of Physics
Found. Phys. 37 1540-1562 (2007)
10.1007/s10701-007-9174-0
null
quant-ph
null
Bohmian mechanics represents the universe as a set of paths with a probability measure defined on it. The way in which a mathematical model of this kind can explain the observed phenomena of the universe is examined in general. It is shown that the explanation does not make use of the full probability measure, but rather of a suitable set function deriving from it, which defines relative typicality between single-time cylinder sets. Such a set function can also be derived directly from the standard quantum formalism, without the need of an underlying probability measure. The key concept for this derivation is the {\it quantum typicality rule}, which can be considered as a generalization of the Born rule. The result is a new formulation of quantum mechanics, in which particles follow definite trajectories, but which is only based on the standard formalism of quantum mechanics.
[ { "version": "v1", "created": "Thu, 18 May 2006 12:47:38 GMT" }, { "version": "v10", "created": "Wed, 26 Sep 2007 13:55:53 GMT" }, { "version": "v2", "created": "Mon, 22 May 2006 17:54:07 GMT" }, { "version": "v3", "created": "Sun, 4 Jun 2006 21:48:32 GMT" }, { "version": "v4", "created": "Tue, 13 Jun 2006 13:19:33 GMT" }, { "version": "v5", "created": "Tue, 5 Sep 2006 15:00:18 GMT" }, { "version": "v6", "created": "Mon, 2 Oct 2006 14:15:03 GMT" }, { "version": "v7", "created": "Tue, 7 Nov 2006 17:47:37 GMT" }, { "version": "v8", "created": "Thu, 28 Dec 2006 19:31:14 GMT" }, { "version": "v9", "created": "Mon, 22 Jan 2007 22:11:35 GMT" } ]
2007-11-20T00:00:00
[ [ "Galvan", "Bruno", "" ] ]
quant-ph/0605163
Philipp Treutlein
Philipp Treutlein, Tilo Steinmetz, Yves Colombe, Benjamin Lev, Peter Hommelhoff, Jakob Reichel, Markus Greiner, Olaf Mandel, Arthur Widera, Tim Rom, Immanuel Bloch, and Theodor W. H\"ansch
Quantum Information Processing in Optical Lattices and Magnetic Microtraps
15 pages, 11 figures, corrected author list
Fortschr. Phys. 54, 702-718 (2006)
10.1002/prop.200610325
null
quant-ph
null
We review our experiments on quantum information processing with neutral atoms in optical lattices and magnetic microtraps. Atoms in an optical lattice in the Mott insulator regime serve as a large qubit register. A spin-dependent lattice is used to split and delocalize the atomic wave functions in a controlled and coherent way over a defined number of lattice sites. This is used to experimentally demonstrate a massively parallel quantum gate array, which allows the creation of a highly entangled many-body cluster state through coherent collisions between atoms on neighbouring lattice sites. In magnetic microtraps on an atom chip, we demonstrate coherent manipulation of atomic qubit states and measure coherence lifetimes exceeding one second at micron-distance from the chip surface. We show that microwave near-fields on the chip can be used to create state-dependent potentials for the implementation of a quantum controlled phase gate with these robust qubit states. For single atom detection and preparation, we have developed high finesse fiber Fabry-Perot cavities and integrated them on the atom chip. We present an experiment in which we detected a very small number of cold atoms magnetically trapped in the cavity using the atom chip.
[ { "version": "v1", "created": "Thu, 18 May 2006 19:23:40 GMT" }, { "version": "v2", "created": "Fri, 9 Jun 2006 13:13:14 GMT" } ]
2007-11-10T00:00:00
[ [ "Treutlein", "Philipp", "" ], [ "Steinmetz", "Tilo", "" ], [ "Colombe", "Yves", "" ], [ "Lev", "Benjamin", "" ], [ "Hommelhoff", "Peter", "" ], [ "Reichel", "Jakob", "" ], [ "Greiner", "Markus", "" ], [ "Mandel", "Olaf", "" ], [ "Widera", "Arthur", "" ], [ "Rom", "Tim", "" ], [ "Bloch", "Immanuel", "" ], [ "Hänsch", "Theodor W.", "" ] ]
quant-ph/0605164
Shi-Jian Gu
Shi-Jian Gu, Chang-Pu Sun, and Hai-Qing Lin
Universal role of correlation entropy in critical phenomena
10 pages, 9 figures
J. Phys. A: Math. Theor. 41, 025002 (2008).
10.1088/1751-8113/41/2/025002
null
quant-ph cond-mat.stat-mech
null
In statistical physics, if we successively divide an equilibrium system into two parts, we will face a situation that, within a certain length $\xi$, the physics of a subsystem is no longer the same as the original system. Then the extensive properties of the thermal entropy $S($AB$)= S($A$)+S($B$)$ is violated. This observation motivates us to introduce the concept of correlation entropy between two points, as measured by mutual information in the information theory, to study the critical phenomena. A rigorous relation is established to display some drastic features of the non-vanishing correlation entropy of the subsystem formed by any two distant particles with long-range correlation. This relation actually indicates the universal role of the correlation entropy in understanding critical phenomena. We also verify these analytical studies in terms of two well-studied models for both the thermal and quantum phase transitions: two-dimensional Ising model and one-dimensional transverse field Ising model. Therefore, the correlation entropy provides us with a new physical intuition in critical phenomena from the point of view of the information theory.
[ { "version": "v1", "created": "Thu, 18 May 2006 13:30:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Gu", "Shi-Jian", "" ], [ "Sun", "Chang-Pu", "" ], [ "Lin", "Hai-Qing", "" ] ]
quant-ph/0605165
Hefeng Wang
Hefeng Wang and Sabre Kais
Quantum Teleportation in One-Dimensional Quantum Dots System
5 pages, two figures
Chemcal Physics Letter 421 (2006) 338-342
10.1016/j.physleta.2005.11.002
null
quant-ph
null
We present a model of quantum teleportation protocol based on one-dimensional quantum dots system. Three quantum dots with three electrons are used to perform teleportation, the unknown qubit is encoded using one electron spin on quantum dot A, the other two dots B and C are coupled to form a mixed space-spin entangled state. By choosing the Hamiltonian for the mixed space-spin entangled system, we can filter the space (spin) entanglement to obtain pure spin (space) entanglement and after a Bell measurement, the unknown qubit is transfered to quantum dot B. Selecting an appropriate Hamiltonian for the quantum gate allows the spin-based information to be transformed into a charge-based information. The possibility of generalizing this model to N-electrons is discussed.
[ { "version": "v1", "created": "Thu, 18 May 2006 14:45:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Hefeng", "" ], [ "Kais", "Sabre", "" ] ]
quant-ph/0605166
Magdalena Stobi\'nska
Magdalena Stobi\'nska, G. J. Milburn, Krzysztof W\'odkiewicz
Wigner Function Evolution of Quantum States in Presence of Self-Kerr Interaction
10 pages, 11 figures
Phys. Rev. A 78, 013810 (2008)
10.1103/PhysRevA.78.013810
null
quant-ph
null
A Fokker-Planck equation for the Wigner function evolution in a noisy Kerr medium ($\chi^{(3)}$ non-linearity) is presented. We numerically solved this equation taking a coherent state as an initial condition. The dissipation effects are discussed. We provide examples of quantum interference, sub-Planck phase space structures, and Gaussian versus non-Gaussian dynamical evolution of the state. The results also apply to the description of a nanomechanical resonator with an intrinsic Duffing nonlinearity.
[ { "version": "v1", "created": "Thu, 18 May 2006 14:59:12 GMT" }, { "version": "v2", "created": "Mon, 9 Oct 2006 15:00:19 GMT" }, { "version": "v3", "created": "Thu, 14 Feb 2008 22:00:31 GMT" }, { "version": "v4", "created": "Tue, 20 May 2008 20:24:11 GMT" } ]
2010-05-04T00:00:00
[ [ "Stobińska", "Magdalena", "" ], [ "Milburn", "G. J.", "" ], [ "Wódkiewicz", "Krzysztof", "" ] ]
quant-ph/0605167
Olavi Dannenberg
Olavi Dannenberg
Coherence theory and coherence phenomena in a closed spin-1/2 system
31 pages, 5 figures, v2: major changes, accepted for publication
Ann. Phys. (Berlin) 17, No. 6, 355-373 (2008)
10.1002/andp.200710300
null
quant-ph
null
A simplified Heisenberg spin model is studied in order to examine the idea of decoherence in closed quantum systems. For this purpose, we present a quantifiable definition to quantum coherence $\Xi$, and discuss in some detail a general coherence theory and its elementary results. As expected, decoherence is understood as a statistical process that is caused by the dynamics of the system, similar to the growth of entropy. It appears that coherence is an important measure that helps to understand quantum properties of a system, e.g., the decoherence time can be derived from the coherence function $\Xi(t)$, but not from the entropy dynamics. Moreover, the concept of decoherence time is applicable in closed and finite systems. However, in most cases, the decay of off-diagonal elements differs from the usual $\exp(-t/\tau_{\rm d})$ behaviour. For concreteness, we report the form of decoherence time $\tau_{\rm d}$ in a finite Heisenberg model with respect to the number of particles $N$, density $n_{\rho}$, spatial dimension $D$ and $\epsilon$ in a $\eta/r^{\epsilon}$-type of potential.
[ { "version": "v1", "created": "Thu, 18 May 2006 15:44:38 GMT" }, { "version": "v2", "created": "Sun, 18 May 2008 16:04:16 GMT" } ]
2008-05-18T00:00:00
[ [ "Dannenberg", "Olavi", "" ] ]
quant-ph/0605168
Pablo Barberis-Blostein
P. Barberis-Blostein
Field autocorrelations in electromagnetically induced transparency: Effects of a squeezed probe field
null
Phys. Rev. A 74, 013803 (2006)
10.1103/PhysRevA.74.013803
null
quant-ph
null
The interaction of a quantized field with three-level atoms in $\Lambda$ configuration inside a two mode cavity is analyzed. We calculate the stationary quadrature noise spectrum of the field outside the cavity in the case where the input probe field is in a squeezed state and the atoms show electromagnetically induced transparency (EIT). If the Rabi frequencies of both dipole transitions of the atoms are different from zero, we show that the output probe field have four maxima of squeezing absorption. We show that in some cases two of these frequencies can be very close to the transition frequency of the atom, in a region where the mean value of the field entering the cavity is hardly altered. Furthermore, part of the absorbed squeezing of the probe field is transfered to the pump field. For some conditions this transfer of squeezing can be complete.
[ { "version": "v1", "created": "Thu, 18 May 2006 21:34:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Barberis-Blostein", "P.", "" ] ]
quant-ph/0605169
Carlos Pineda
Carlos Pineda, Thomas H. Seligman
A Bell pair in a generic random matrix environment
4 pages, 3 figures
Phys. Rev. A 75(1), 012106, (2007).
10.1103/PhysRevA.75.012106
null
quant-ph
null
Two non-interacting qubits are coupled to an environment. Both coupling and environment are represented by random matrix ensembles. The initial state of the pair is a Bell state, though we also consider arbitrary pure states. Decoherence of the pair is evaluated analytically in terms of purity; Monte Carlo calculations confirm these results and also yield the concurrence of the pair. Entanglement within the pair accelerates decoherence. Numerics display the relation between concurrence and purity known for Werner states, allowing us to give a formula for concurrence decay.
[ { "version": "v1", "created": "Thu, 18 May 2006 22:28:07 GMT" } ]
2007-11-22T00:00:00
[ [ "Pineda", "Carlos", "" ], [ "Seligman", "Thomas H.", "" ] ]
quant-ph/0605170
Joe Britton
J. Britton, D. Leibfried, J. Beall, R. B. Blakestad, J. J. Bollinger, J. Chiaverini, R. J. Epstein, J. D. Jost, D. Kielpinski, C. Langer, R. Ozeri, R. Reichle, S. Seidelin, N. Shiga, J. H. Wesenberg, and D. J. Wineland
A microfabricated surface-electrode ion trap in silicon
4 pages, 6 figures
null
null
null
quant-ph
null
The prospect of building a quantum information processor underlies many recent advances ion trap fabrication techniques. Potentially, a quantum computer could be constructed from a large array of interconnected ion traps. We report on a micrometer-scale ion trap, fabricated from bulk silicon using micro-electromechanical systems (MEMS) techniques. The trap geometry is relatively simple in that the electrodes lie in a single plane beneath the ions. In such a trap we confine laser-cooled 24Mg+ ions approximately 40 microns above the surface. The fabrication technique and planar electrode geometry together make this approach amenable to scaling up to large trap arrays. In addition we observe that little laser cooling light is scattered by the electrodes.
[ { "version": "v1", "created": "Fri, 19 May 2006 16:12:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Britton", "J.", "" ], [ "Leibfried", "D.", "" ], [ "Beall", "J.", "" ], [ "Blakestad", "R. B.", "" ], [ "Bollinger", "J. J.", "" ], [ "Chiaverini", "J.", "" ], [ "Epstein", "R. J.", "" ], [ "Jost", "J. D.", "" ], [ "Kielpinski", "D.", "" ], [ "Langer", "C.", "" ], [ "Ozeri", "R.", "" ], [ "Reichle", "R.", "" ], [ "Seidelin", "S.", "" ], [ "Shiga", "N.", "" ], [ "Wesenberg", "J. H.", "" ], [ "Wineland", "D. J.", "" ] ]
quant-ph/0605171
Tao Qin
Tao Qin, Meisheng Zhao and Yongde Zhang
The classical capacity for continuous variable teleportation channel
The formula of fidelity corrected; the figure of fidelity replotted; submitted for publication
null
10.1088/0256-307X/24/2/007
null
quant-ph
null
The process of quantum teleportation can be considered as a quantum channel. The exact classical capacity of the continuous variable teleportation channel is given. Also, the channel fidelity is derived. Consequently, the properties of the continuous variable quantum teleportation are discussed and interesting results are obtained.
[ { "version": "v1", "created": "Fri, 19 May 2006 01:54:08 GMT" }, { "version": "v2", "created": "Wed, 14 Jun 2006 00:39:40 GMT" } ]
2015-06-26T00:00:00
[ [ "Qin", "Tao", "" ], [ "Zhao", "Meisheng", "" ], [ "Zhang", "Yongde", "" ] ]
quant-ph/0605172
Rastegin Alexey Eduardovich
A. E. Rastegin
Trace distance from the viewpoint of quantum operation techniques
26 pages, no figures. The bibliography is extended, explanatory improvements
J. Phys. A: Math. Theor. 40 (2007) 9533-9549
10.1088/1751-8113/40/31/026
null
quant-ph
null
In the present paper, the trace distance is exposed within the quantum operations formalism. The definition of the trace distance in terms of a maximum over all quantum operations is given. It is shown that for any pair of different states, there are an uncountably infinite number of maximizing quantum operations. Conversely, for any operation of the described type, there are an uncountably infinite number of those pairs of states that the maximum is reached by the operation. A behavior of the trace distance under considered operations is studied. Relations and distinctions between the trace distance and the sine distance are discussed.
[ { "version": "v1", "created": "Fri, 19 May 2006 05:43:30 GMT" }, { "version": "v2", "created": "Fri, 26 Jan 2007 10:41:25 GMT" }, { "version": "v3", "created": "Tue, 24 Jul 2007 08:27:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Rastegin", "A. E.", "" ] ]
quant-ph/0605173
Indranil Chakrabarty ic
Indranil Chakrabarty, A.K.Pati, Satyabrata Adhikari
Stronger no-cloning, no-signalling and conservation of quantum information
null
null
null
null
quant-ph
null
It is known that the stronger no-cloning theorem and the no-deleting theorem taken together provide the permanence property of quantum information. Also, it is known that the violation of the no-deletion theorem would imply signalling. Here, we show that the violation of the stronger no-cloning theorem could lead to signalling. Furthermore, we prove the stronger no-cloning theorem from the conservation of quantum information. These observations imply that the permanence property of quantum information is connected to the no-signalling and the conservation of quantum information.
[ { "version": "v1", "created": "Fri, 19 May 2006 06:27:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Chakrabarty", "Indranil", "" ], [ "Pati", "A. K.", "" ], [ "Adhikari", "Satyabrata", "" ] ]
quant-ph/0605174
A. Heidmann
O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, A. Heidmann, J.-M. Mackowski, C. Michel, L. Pinard, O. Francais, L. Rousseau
High-sensitivity optical monitoring of a micro-mechanical resonator with a quantum-limited optomechanical sensor
4 pages, 5 figures
Phys. Rev. Lett. 97 (2006) 133601
10.1103/PhysRevLett.97.133601
null
quant-ph
null
We experimentally demonstrate the high-sensitivity optical monitoring of a micro-mechanical resonator and its cooling by active control. Coating a low-loss mirror upon the resonator, we have built an optomechanical sensor based on a very high-finesse cavity (30000). We have measured the thermal noise of the resonator with a quantum-limited sensitivity at the 10^-19 m/rootHz level, and cooled the resonator down to 5K by a cold-damping technique. Applications of our setup range from quantum optics experiments to the experimental demonstration of the quantum ground state of a macroscopic mechanical resonator.
[ { "version": "v1", "created": "Fri, 19 May 2006 11:22:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Arcizet", "O.", "" ], [ "Cohadon", "P. -F.", "" ], [ "Briant", "T.", "" ], [ "Pinard", "M.", "" ], [ "Heidmann", "A.", "" ], [ "Mackowski", "J. -M.", "" ], [ "Michel", "C.", "" ], [ "Pinard", "L.", "" ], [ "Francais", "O.", "" ], [ "Rousseau", "L.", "" ] ]
quant-ph/0605175
Yong Hu
Yong Hu, Zheng-Wei Zhou and Guang-Can Guo
Always On Non-Nearest-Neighbor Coupling in Scalable Quantum Computing
null
null
10.1088/1367-2630/9/2/027
null
quant-ph
null
We investigate the non-nearest-neighbor interaction effect in 1-D spin-1/2 chain model. In many previous schemes this long-range coupling is omitted because of its relative weak strength compared with the nearest-neighbor coupling. We show that the quantum gate deviation induced by the omitted long-range interaction depends on not only its strength but also the scale of the system. This implies that omitting the long-range interaction may challenge the scalability of previous schemes. We further consider how to suppress this unwanted effect. We propose a quantum computation scheme. In this scheme, by using appropriate encoding method, we effectively negate the influence of the next-nearest-neighbor interaction in order to improve the precision of quantum gates. We also discuss the feasibility of this scheme in 1-D Josephson charge qubit array system. This work may offer improvement in scalable quantum computing.
[ { "version": "v1", "created": "Fri, 19 May 2006 12:59:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Hu", "Yong", "" ], [ "Zhou", "Zheng-Wei", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0605176
Dominic William Berry
Dominic W. Berry and Mark R. Dowling
Two qubits can be entangled in two distinct temperature regions
6 pages, 4 figures, many new results
Phys. Rev. A 74, 062301 (2006)
10.1103/PhysRevA.74.062301
null
quant-ph
null
We have found that for a wide range of two-qubit Hamiltonians the canonical-ensemble thermal state is entangled in two distinct temperature regions. In most cases the ground state is entangled; however we have also found an example where the ground state is separable and there are still two regions. This demonstrates that the qualitative behavior of entanglement with temperature can be much more complicated than might otherwise have been expected; it is not simply determined by the entanglement of the ground state, even for the simple case of two qubits. Furthermore, we prove a finite bound on the number of possible entangled regions for two qubits, thus showing that arbitrarily many transitions from entanglement to separability are not possible. We also provide an elementary proof that the spectrum of the thermal state at a lower temperature majorizes that at a higher temperature, for any Hamiltonian, and use this result to show that only one entangled region is possible for the special case of Hamiltonians without magnetic fields.
[ { "version": "v1", "created": "Fri, 19 May 2006 18:09:39 GMT" }, { "version": "v2", "created": "Mon, 7 Aug 2006 06:37:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Berry", "Dominic W.", "" ], [ "Dowling", "Mark R.", "" ] ]
quant-ph/0605177
Grigori Amosov
G.G. Amosov
On Weyl channels being covariant with respect to the maximum commutative group of unitaries
A completely revised version, 20 pages
J. Math. Phys. 48 (2007) no. 1, P. 2104-2117
10.1063/1.2406054
null
quant-ph
null
We investigate the Weyl channels being covariant with respect to the maximum commutative group of unitary operators. This class includes the quantum depolarizing channel and the "two-Pauli" channel as well. Then, we show that our estimation of the output entropy for a tensor product of the phase damping channel and the identity channel based upon the decreasing property of the relative entropy allows to prove the additivity conjecture for the minimal output entropy for the quantum depolarizing channel in any prime dimesnsion and for the "two Pauli" channel in the qubit case.
[ { "version": "v1", "created": "Fri, 19 May 2006 18:34:08 GMT" }, { "version": "v2", "created": "Thu, 27 Jul 2006 13:41:06 GMT" }, { "version": "v3", "created": "Thu, 10 Aug 2006 11:53:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Amosov", "G. G.", "" ] ]
quant-ph/0605178
Mahmoud Abdel-Aty
F. Saif, M. Abdel-Aty, M. Javed, R. Ul-Islam and A.-S. F. Obada
Generation of maximally entangled states of two cavity modes
10 pages
Appl. Math. Inf. Sci. Vol. 1 No. 3 pp. 323 (2007)
null
null
quant-ph
null
In this letter we present a scheme for generating maximally entangled states of two cavity modes which enables us to generate complete set of Bell basis states having rather simple initial state preparation. Furthermore, we study the interaction of a two-level atom with two modes of electromagnetic field in a high Q cavity. The two-level atom acts as a control qubit and the two mode electromagnetic field serves as a target qubit. This simple system of quantum electrodynamics provides us experimentally feasible universal quantum logic gates.
[ { "version": "v1", "created": "Sat, 20 May 2006 14:27:03 GMT" }, { "version": "v2", "created": "Sat, 3 May 2008 14:55:58 GMT" } ]
2008-05-03T00:00:00
[ [ "Saif", "F.", "" ], [ "Abdel-Aty", "M.", "" ], [ "Javed", "M.", "" ], [ "Ul-Islam", "R.", "" ], [ "Obada", "A. -S. F.", "" ] ]
quant-ph/0605179
Ronald Hanson
R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom
Polarization and readout of coupled single spins in diamond
null
Phys. Rev. Lett. 97, 087601 (2006)
10.1103/PhysRevLett.97.087601
null
quant-ph cond-mat.mes-hall cond-mat.other
null
We study the coupling of a single nitrogen-vacancy center in diamond to a nearby single nitrogen defect at room temperature. The magnetic dipolar coupling leads to a splitting in the electron spin resonance frequency of the nitrogen-vacancy center, allowing readout of the state of a single nitrogen electron spin. At magnetic fields where the spin splitting of the two centers is the same we observe a strong polarization of the nitrogen electron spin. The amount of polarization can be controlled by the optical excitation power. We combine the polarization and the readout in time-resolved pump-probe measurements to determine the spin relaxation time of a single nitrogen electron spin. Finally, we discuss indications for hyperfine-induced polarization of the nitrogen nuclear spin.
[ { "version": "v1", "created": "Sat, 20 May 2006 23:07:05 GMT" }, { "version": "v2", "created": "Wed, 23 Aug 2006 17:48:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Hanson", "R.", "" ], [ "Mendoza", "F. M.", "" ], [ "Epstein", "R. J.", "" ], [ "Awschalom", "D. D.", "" ] ]
quant-ph/0605180
Doron Cohen
Doron Cohen
Lecture Notes in Quantum Mechanics
295 pages with some figures, textual improvements, no structural changes, equations numbered by section
null
null
null
quant-ph cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
These lecture notes cover undergraduate textbook topics (e.g. as in Sakurai), and also additional advanced topics at the same level of presentation. In particular: EPR and Bell; Basic postulates; The probability matrix; Measurement theory; Entanglement; Quantum computation; Wigner-Weyl formalism; The adiabatic picture; Berry phase; Linear response theory; Kubo formula; Modern approach to scattering theory with mesoscopic orientation; Theory of the resolvent and the Green function; Gauge and Galilei Symmetries; Motion in magnetic field; Quantum Hall effect; Quantization of the electromagnetic field; Fock space formalism.
[ { "version": "v1", "created": "Sun, 21 May 2006 07:28:50 GMT" }, { "version": "v2", "created": "Wed, 14 Feb 2007 13:53:09 GMT" }, { "version": "v3", "created": "Wed, 8 Oct 2008 11:49:51 GMT" }, { "version": "v4", "created": "Thu, 19 Jul 2012 05:17:57 GMT" }, { "version": "v5", "created": "Tue, 27 Aug 2013 14:33:09 GMT" }, { "version": "v6", "created": "Wed, 29 Aug 2018 06:14:33 GMT" } ]
2018-08-30T00:00:00
[ [ "Cohen", "Doron", "" ] ]
quant-ph/0605181
Itai Arad
Dorit Aharonov and Itai Arad
The BQP-hardness of approximating the Jones Polynomial
36 pages, 8 figures. A much improved and revised version, updated to Feb 2011, which includes discussions and implications of related results published after the original 2006 version of this paper
New J. Phys. 13 (2011) 035019
10.1088/1367-2630/13/3/035019
null
quant-ph cs.CC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A celebrated important result due to Freedman, Larsen and Wang states that providing additive approximations of the Jones polynomial at the k'th root of unity, for constant k=5 and k>6, is BQP-hard. Together with the algorithmic results of Freedman et al and Aharonov et al, this gives perhaps the most natural BQP-complete problem known today and motivates further study of the topic. In this paper we focus on the universality proof; we extend the universality result of Freedman et al to k's that grow polynomially with the number of strands and crossings in the link, thus extending the BQP-hardness of Jones polynomial approximations to all values for which the AJL algorithm applies, proving that for all those values, the problems are BQP-complete. As a side benefit, we derive a fairly elementary proof of the Freedman et al density result, without referring to advanced results from Lie algebra representation theory, making this important result accessible to computer science audience. We make use of two general lemmas we prove, the Bridge lemma and the Decoupling lemma, which provide tools for establishing density of subgroups in SU(n). Those tools seem to be of independent interest in more general contexts of proving quantum universality. Our result also implies a completely classical statement, that the_multiplicative_ approximations of the Jones polynomial, at exactly the same values, are #P-hard, via a recent result due to Kuperberg. Since the first publication of those results in their preliminary form (arXiv:quant-ph/0605181v2), the methods we present here were used in several other contexts. This paper is an improved and extended version of the original results, and also includes discussions of the developments since then.
[ { "version": "v1", "created": "Sun, 21 May 2006 21:39:38 GMT" }, { "version": "v2", "created": "Tue, 17 Oct 2006 10:28:24 GMT" }, { "version": "v3", "created": "Mon, 13 Dec 2010 20:57:34 GMT" }, { "version": "v4", "created": "Tue, 14 Dec 2010 19:25:11 GMT" }, { "version": "v5", "created": "Sat, 19 Feb 2011 16:06:43 GMT" } ]
2011-03-28T00:00:00
[ [ "Aharonov", "Dorit", "" ], [ "Arad", "Itai", "" ] ]
quant-ph/0605182
Jonathan Barrett
Jonathan Barrett, Adrian Kent and Stefano Pironio
Maximally Non-Local and Monogamous Quantum Correlations
5 pages, no figures
Phys. Rev. Lett. 97, 170409 (2006).
10.1103/PhysRevLett.97.170409
null
quant-ph cs.CR
null
We introduce a version of the chained Bell inequality for an arbitrary number of measurement outcomes, and use it to give a simple proof that the maximally entangled state of two d dimensional quantum systems has no local component. That is, if we write its quantum correlations as a mixture of local correlations and general (not necessarily quantum) correlations, the coefficient of the local correlations must be zero. This suggests an experimental programme to obtain as good an upper bound as possible on the fraction of local states, and provides a lower bound on the amount of classical communication needed to simulate a maximally entangled state in dxd dimensions. We also prove that the quantum correlations violating the inequality are monogamous among non-signalling correlations, and hence can be used for quantum key distribution secure against post-quantum (but non-signalling) eavesdroppers.
[ { "version": "v1", "created": "Sun, 21 May 2006 22:57:16 GMT" } ]
2011-04-08T00:00:00
[ [ "Barrett", "Jonathan", "" ], [ "Kent", "Adrian", "" ], [ "Pironio", "Stefano", "" ] ]
quant-ph/0605183
Peter Rohde
Henry L. Haselgrove, Peter P. Rohde
Trade-off between the tolerance of located and unlocated errors in nondegenerate quantum error-correcting codes
6 pages, 3 figures, significant update, tighter bound proven
QIC 8, 0399 (2008)
null
null
quant-ph
null
In a recent study [Rohde et al., quant-ph/0603130 (2006)] of several quantum error correcting protocols designed for tolerance against qubit loss, it was shown that these protocols have the undesirable effect of magnifying the effects of depolarization noise. This raises the question of which general properties of quantum error-correcting codes might explain such an apparent trade-off between tolerance to located and unlocated error types. We extend the counting argument behind the well-known quantum Hamming bound to derive a bound on the weights of combinations of located and unlocated errors which are correctable by nondegenerate quantum codes. Numerical results show that the bound gives an excellent prediction to which combinations of unlocated and located errors can be corrected with high probability by certain large degenerate codes. The numerical results are explained partly by showing that the generalized bound, like the original, is closely connected to the information-theoretic quantity the quantum coherent information. However, we also show that as a measure of the exact performance of quantum codes, our generalized Hamming bound is provably far from tight.
[ { "version": "v1", "created": "Mon, 22 May 2006 03:20:41 GMT" }, { "version": "v2", "created": "Tue, 3 Jul 2007 11:33:55 GMT" } ]
2008-05-19T00:00:00
[ [ "Haselgrove", "Henry L.", "" ], [ "Rohde", "Peter P.", "" ] ]
quant-ph/0605184
Xiaoyu Chen
Xiao-Yu Chen, Li-zhen Jiang, Liang Han
The entanglement of damped noon-state and its performance in phase measurement
8 pages, 2 figures
null
null
null
quant-ph
null
The state evolution of the initial optical \textit{noon} state is investigated. The residue entanglement of the state is calculated after it is damped by amplitude and phase damping. The relative entropy of entanglement of the damped state is exactly obtained. The performance of direct application of the damped \textit{noon} state is compared with that of firstly distilling the docoherence damped state then applying it in measurement.
[ { "version": "v1", "created": "Mon, 22 May 2006 03:24:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Xiao-Yu", "" ], [ "Jiang", "Li-zhen", "" ], [ "Han", "Liang", "" ] ]
quant-ph/0605185
Indranil Chakrabarty ic
Indranil Chakrabarty
Single qubit, two qubit gates and no signalling principle
14 pages, Accepted in Romanian journal of Physics
Romanian Journal of Physics, Vol-54, No3-4 (2009)
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we investigate that whether one can construct single and two qubit gates for arbitrary quantum states from the principle of no signalling. We considered the problem for Pauli gates, Hadamard gate, C-Not gate.
[ { "version": "v1", "created": "Mon, 22 May 2006 04:58:04 GMT" }, { "version": "v2", "created": "Mon, 13 Nov 2006 15:16:50 GMT" }, { "version": "v3", "created": "Sat, 31 Jan 2009 07:11:34 GMT" } ]
2009-03-10T00:00:00
[ [ "Chakrabarty", "Indranil", "" ] ]
quant-ph/0605186
Indranil Chakrabarty ic
Indranil Chakrabarty, Satyabrata Adhikari, B.S. Choudhury
Revisiting impossible quantum operations using principle of no-signalling and non increase of entanglement under LOCC
4 pages, Accepted in International Journal of Theoretical Physics
IJTP,Volume 46, Number 10, 2007
10.1007/s10773-007-9366-6
null
quant-ph
null
In this letter, we show the impossibility of the general operation introduced by Pati [3] using two different but consistent principles (i) no-signalling (ii) non increase of entanglement under LOCC.
[ { "version": "v1", "created": "Mon, 22 May 2006 05:11:09 GMT" }, { "version": "v2", "created": "Fri, 6 Oct 2006 08:56:52 GMT" }, { "version": "v3", "created": "Fri, 23 Feb 2007 16:02:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Chakrabarty", "Indranil", "" ], [ "Adhikari", "Satyabrata", "" ], [ "Choudhury", "B. S.", "" ] ]
quant-ph/0605187
Eliahu Comay
E. Comay
The Significance of Density in the Structure of Quantum Theories
12 pages, no figure
null
null
TAUP 2833-2006
quant-ph
null
It is proved that density plays a crucial role in the structure of quantum field theory. The Dirac and the Klein-Gordon equations are examined. The results prove that the Dirac equation is consistent with density related requirements whereas the Klein-Gordon equation fails to do that. Experimental data support these conclusions.
[ { "version": "v1", "created": "Mon, 22 May 2006 08:05:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Comay", "E.", "" ] ]
quant-ph/0605188
Jing Cheng
Minghui Zhang, Qing Wei, Xia Shen, Yongfeng Liu, Honglin Liu, Jing Cheng, Shensheng Han
Lensless Fourier-Transform Ghost Imaging with Classical Incoherent Light
14 pages, 4 figures, comments are welcome
null
10.1103/PhysRevA.75.021803
null
quant-ph
null
The Fourier-Transform ghost imaging of both amplitude-only and pure-phase objects was experimentally observed with classical incoherent light at Fresnel distance by a new lensless scheme. The experimental results are in good agreement with the standard Fourier-transform of the corresponding objects. This scheme provides a new route towards aberration-free diffraction-limited 3D images with classically incoherent thermal light, which have no resolution and depth-of-field limitations of lens-based tomographic systems.
[ { "version": "v1", "created": "Mon, 22 May 2006 08:43:49 GMT" } ]
2015-06-26T00:00:00
[ [ "Zhang", "Minghui", "" ], [ "Wei", "Qing", "" ], [ "Shen", "Xia", "" ], [ "Liu", "Yongfeng", "" ], [ "Liu", "Honglin", "" ], [ "Cheng", "Jing", "" ], [ "Han", "Shensheng", "" ] ]
quant-ph/0605189
Sergey Maksimenko
G.Ya. Slepyan and S.A. Maksimenko
Photon statistics dispersion in excitonic composites
12 pages
null
null
null
quant-ph
null
Linear media are predicted to exist whose relative permiability is an operator in the space of quantum states of light. Such media are characterized by a photon statistics--dependent refractive index. This indicates a new type of optical dispersion -- the photon statistics dispersion. Interaction of quantum light with such media modifies the photon number distribution and, in particular, the degree of coherence of light. An excitonic composite -- a collection of noninteracting quantum dots -- is considered as a realization of the medium with the photon statistics dispersion. Expressions are derived for generalized plane waves in an excitonic composite and input--output relations for a planar layer of the material. Transformation rules for different photon initial states are analyzed. Utilization of the photon statistics dispersion in potential quantum--optical devices is discussed.
[ { "version": "v1", "created": "Mon, 22 May 2006 08:48:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Slepyan", "G. Ya.", "" ], [ "Maksimenko", "S. A.", "" ] ]
quant-ph/0605190
Peter Blythe
P. Blythe, B. Varcoe
Quantum Computing Using Crossed Atomic Beams
13 pages, 3 figures. PACS: 32.80.Qk, 42.50.Pq, 03.67.Lx
null
null
null
quant-ph
null
A quantum computer is a hypothetical device in which the laws of quantum mechanics are used to introduce a degree of parallelism into computations and which could therefore significantly improve on the computational speed of a classical computer at certain tasks. Cluster state quantum computing (recently proposed by Raussendorf and Briegel) is a new paradigm in quantum information processing and is a departure from the conventional model of quantum computation. The cluster state quantum computer begins by creating a highly entangled multi-particle state (the cluster state) which it uses as a quantum resource during the computation. Information is processed in the computer via selected measurements on individual qubits that form the cluster state. We describe in detail how a scalable quantum computer can be constructed using microwave cavity QED and, in a departure from the traditional understanding of a computer as a fixed array of computational elements, we show that cluster state quantum computing is well suited to atomic beam experiments. We show that all of the necessary elements have been individually realised, and that the construction of a truly scalable atomic beam quantum computer may be an experimental reality in the near future.
[ { "version": "v1", "created": "Mon, 22 May 2006 10:54:05 GMT" }, { "version": "v2", "created": "Tue, 23 May 2006 13:44:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Blythe", "P.", "" ], [ "Varcoe", "B.", "" ] ]
quant-ph/0605191
Archan S. Majumdar
Biplab Ghosh, A. S. Majumdar, N. Nayak
Atomic entanglement mediated by a squeezed cavity field
6 pages, 7 eps figures
Int. J Theor. Phys. 12, 2 (2007)
null
null
quant-ph
null
We consider the coherent state radiation field inside a micromaser cavity and study the entanglement mediated by it on a pair of two level atoms passing though the cavity one after the other. We then investigate the effects of squeezing of the cavity field on the atomic entanglement. We compute the entanglement of formation for the emerging mixed two-atom state and show that squeezing of the cavity radiation field can increase the atomic entanglement.
[ { "version": "v1", "created": "Mon, 22 May 2006 12:06:26 GMT" } ]
2007-11-26T00:00:00
[ [ "Ghosh", "Biplab", "" ], [ "Majumdar", "A. S.", "" ], [ "Nayak", "N.", "" ] ]
quant-ph/0605192
Bryan Eastin
Bryan Eastin
Fault-Tolerant Thresholds for Encoded Ancillae with Homogeneous Errors
14 pages, 5 figures, 3 tables; v2 minor edits, v3 completely revised, submitted to PRA
Phys. Rev. A, 75, 022301 (2007)
10.1103/PhysRevA.75.022301
null
quant-ph
null
I describe a procedure for calculating thresholds for quantum computation as a function of error model given the availability of ancillae prepared in logical states with independent, identically distributed errors. The thresholds are determined via a simple counting argument performed on a single qubit of an infinitely large CSS code. I give concrete examples of thresholds thus achievable for both Steane and Knill style fault-tolerant implementations and investigate their relation to threshold estimates in the literature.
[ { "version": "v1", "created": "Mon, 22 May 2006 14:23:14 GMT" }, { "version": "v2", "created": "Wed, 7 Jun 2006 02:38:47 GMT" }, { "version": "v3", "created": "Tue, 14 Nov 2006 02:18:25 GMT" } ]
2009-11-16T00:00:00
[ [ "Eastin", "Bryan", "" ] ]
quant-ph/0605193
Diego Arb\'o
Diego Arbo, Emil Persson, Joachim Burgdoerfer
Time Double-Slit Interference in Tunneling Ionization
7 pages, 5 figures
null
10.1103/PhysRevA.74.063407
null
quant-ph
null
We show that interference phenomena plays a big role for the electron yield in ionization of atoms by an ultra-short laser pulse. Our theoretical study of single ionization of atoms driven by few-cycles pulses extends the photoelectron spectrum observed in the double-slit experiment by Lindner et al, Phys. Rev. Lett. \textbf{95}, 040401 (2005) to a complete three-dimensional momentum picture. We show that different wave packets corresponding to the same single electron released at different times interfere, forming interference fringes in the two-dimensional momentum distributions. These structures reproduced by means of \textit{ab initio} calculations are understood within a semiclassical model.
[ { "version": "v1", "created": "Mon, 22 May 2006 14:36:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Arbo", "Diego", "" ], [ "Persson", "Emil", "" ], [ "Burgdoerfer", "Joachim", "" ] ]
quant-ph/0605194
Robert J. C. Spreeuw
T.W. Hijmans, T.N. Huussen, and R.J.C. Spreeuw
Time and frequency domain solutions in an optical analogue of Grover's search algorithm
16 pages in preprint format, 6 figures v2: some minor revisions
J. Opt. Soc. Am. B 24, 214 (2007)
10.1364/JOSAB.24.000214
null
quant-ph
null
We present new results on an optical implementation of Grover's quantum search algorithm. This extends previous work in which the transverse spatial mode of a light beam oscillates between a broad initial input shape and a highly localized spike, which reveals the position of the tagged item. The spike reaches its maximum intensity after $\sim\sqrt N$ round trips in a cavity equipped with two phase plates, where $N$ is the ratio of the surface area of the original beam and the area of the phase spot or tagged item. In our redesigned experiment the search space is now two-dimensional. In the time domain we demonstrate for the first time a multiple item search where the items appear directly as bright spots on the images of a gated camera. In a complementary experiment we investigate the searching cavity in the frequency domain. The oscillatory nature of the search algorithm can be seen as a splitting of cavity eigenmodes, each of which concentrates up to 50% of its power in the bright spot corresponding to the solution.
[ { "version": "v1", "created": "Mon, 22 May 2006 15:32:09 GMT" }, { "version": "v2", "created": "Tue, 26 Sep 2006 16:01:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Hijmans", "T. W.", "" ], [ "Huussen", "T. N.", "" ], [ "Spreeuw", "R. J. C.", "" ] ]
quant-ph/0605195
Anthony John Bracken
A.J. Bracken, D. Ellinas and I. Smyrnakis
Free Dirac evolution as a quantum random walk
16 pages, 1 figure. Latex2e file
null
10.1103/PhysRevA.75.022322
null
quant-ph
null
Any positive-energy state of a free Dirac particle that is initially highly-localized, evolves in time by spreading at speeds close to the speed of light. This general phenomenon is explained by the fact that the Dirac evolution can be approximated arbitrarily closely by a quantum random walk, where the roles of coin and walker systems are naturally attributed to the spin and position degrees of freedom of the particle. Initially entangled and spatially localized spin-position states evolve with asymptotic two-horned distributions of the position probability, familiar from earlier studies of quantum walks. For the Dirac particle, the two horns travel apart at close to the speed of light.
[ { "version": "v1", "created": "Tue, 23 May 2006 00:42:05 GMT" } ]
2015-06-26T00:00:00
[ [ "Bracken", "A. J.", "" ], [ "Ellinas", "D.", "" ], [ "Smyrnakis", "I.", "" ] ]
quant-ph/0605196
Yi-Xin Chen
Lin Chen and Yi-Xin Chen
Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements
16 pages, Revtex
null
10.1103/PhysRevA.74.062310
null
quant-ph
null
We propose the concept of SLOCC-equivalent basis (SEB) in the multiqubit space. In particular, two special SEBs, the GHZ-type and the W-type basis are introduced. They can make up a more general family of multiqubit states, the GHZ-W-type states, which is a useful kind of entanglement for quantum teleporatation and error correction. We completely characterize the property of this type of states, and mainly classify the GHZ-type states and the W-type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit how our method is used for the classification of these entangled states.
[ { "version": "v1", "created": "Tue, 23 May 2006 06:13:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Lin", "" ], [ "Chen", "Yi-Xin", "" ] ]
quant-ph/0605197
Daniel Burgarth
Daniel Burgarth and Vittorio Giovannetti
The Generalized Lyapunov Theorem and its Application to Quantum Channels
13 pages, 3 figures
New J. Phys. 9 150 (2007)
10.1088/1367-2630/9/5/150
null
quant-ph math-ph math.MP
null
We give a simple and physically intuitive necessary and sufficient condition for a map acting on a compact metric space to be mixing (i.e. infinitely many applications of the map transfer any input into a fixed convergency point). This is a generalization of the "Lyapunov direct method". First we prove this theorem in topological spaces and for arbitrary continuous maps. Finally we apply our theorem to maps which are relevant in Open Quantum Systems and Quantum Information, namely Quantum Channels. In this context we also discuss the relations between mixing and ergodicity (i.e. the property that there exist only a single input state which is left invariant by a single application of the map) showing that the two are equivalent when the invariant point of the ergodic map is pure.
[ { "version": "v1", "created": "Tue, 23 May 2006 19:54:40 GMT" }, { "version": "v2", "created": "Fri, 9 Jun 2006 10:29:26 GMT" }, { "version": "v3", "created": "Fri, 9 Mar 2007 15:38:58 GMT" } ]
2007-06-13T00:00:00
[ [ "Burgarth", "Daniel", "" ], [ "Giovannetti", "Vittorio", "" ] ]
quant-ph/0605198
Nicolas Menicucci
Nicolas C. Menicucci, Peter van Loock, Mile Gu, Christian Weedbrook, Timothy C. Ralph, Michael A. Nielsen
Universal Quantum Computation with Continuous-Variable Cluster States
4 pages, no figures
Phys. Rev. Lett. 97, 110501 (2006)
10.1103/PhysRevLett.97.110501
null
quant-ph
null
We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear optics, and homodyne detection. For universal quantum computation, a nonlinear element is required. This can be satisfied by adding to the toolbox any single-mode non-Gaussian measurement, while the initial cluster state itself remains Gaussian. Homodyne detection alone suffices to perform an arbitrary multi-mode Gaussian transformation via the cluster state. We also propose an experiment to demonstrate cluster-based error reduction when implementing Gaussian operations.
[ { "version": "v1", "created": "Tue, 23 May 2006 14:15:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Menicucci", "Nicolas C.", "" ], [ "van Loock", "Peter", "" ], [ "Gu", "Mile", "" ], [ "Weedbrook", "Christian", "" ], [ "Ralph", "Timothy C.", "" ], [ "Nielsen", "Michael A.", "" ] ]
quant-ph/0605199
Sahin Kaya Ozdemir Dr
Y. Hirayama, A. Miranowicz, T. Ota, G. Yusa, K. Muraki, S. K. Ozdemir, and N. Imoto
Nanometre-scale nuclear-spin device for quantum information processing
16 pages, 5 figures
J. Phys.: Condens. Matter 18 (2006) S885-S900
10.1088/0953-8984/18/21/S13
null
quant-ph cond-mat.mes-hall
null
We have developed semiconductor point contact devices in which nuclear spins in a nanoscale region are coherently controlled by all-electrical methods. Different from the standard nuclear-magnetic resonance technique, the longitudinal magnetization of nuclear spins is directly detected by measuring resistance, resulting in ultra-sensitive detection of the microscopic quantity of nuclear spins. All possible coherent oscillations have been successfully demonstrated between two levels from four nuclear spin states of I = 3/2 nuclei. Quantum information processing is discussed based on two fictitious qubits of an I = 3/2 system and methods are described for performing arbitrary logical gates both on one and two qubits. A scheme for quantum state tomography based on Mz-detection is also proposed. As the starting point of quantum manipulations, we have experimentally prepared the effective pure states for the I = 3/2 nuclear spin system.
[ { "version": "v1", "created": "Tue, 23 May 2006 14:19:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Hirayama", "Y.", "" ], [ "Miranowicz", "A.", "" ], [ "Ota", "T.", "" ], [ "Yusa", "G.", "" ], [ "Muraki", "K.", "" ], [ "Ozdemir", "S. K.", "" ], [ "Imoto", "N.", "" ] ]
quant-ph/0605200
Anita Dabrowska
Anita Dabrowska
Continuous observation of a squeezed coherent state
Author changed and enlarged this article and post as Squeezed coherent state undergoing a continuous nondemolition observation
null
null
null
quant-ph
null
The main aim of the paper is to present the analytical solution of the Belavkin quantum filtering equation for damped harmonic oscillator being initially in the squeezed coherent state for diffusion observation with complex white noise. The comparison of the a priori and a posteriori mean value of the optical quadrature operators and the photon number operator is given.
[ { "version": "v1", "created": "Tue, 23 May 2006 16:31:02 GMT" }, { "version": "v2", "created": "Mon, 9 Jul 2012 17:14:31 GMT" } ]
2012-07-10T00:00:00
[ [ "Dabrowska", "Anita", "" ] ]
quant-ph/0605201
Mikhail Lukin
A.Andre, D.DeMille, J.M.Doyle, M.D.Lukin, S.E.Maxwell, P.Rabl, R.Schoelkopf, P.Zoller
Polar molecules near superconducting resonators: a coherent, all-electrical, molecule-mesoscopic interface
null
null
null
null
quant-ph cond-mat.supr-con
null
The challenge of building a scalable quantum processor requires consolidation of the conflicting requirements of achieving coherent control and preservation of quantum coherence in a large scale quantum system. Moreover, the system should be compatible with miniaturization and integration of quantum circuits. Mesoscopic solid state systems such as superconducting islands and quantum dots feature robust control techniques using local electrical signals and self-evident scaling based on advances in fabrication; however, in general the quantum states of solid state devices tend to decohere rapidly. In contrast, quantum optical systems based on trapped ions and neutral atoms exhibit dramatically better coherence properties, while miniaturization of atomic and molecular systems, and their integration with mesoscopic electrical circuits, remains an important challenge. Below we describe methods for the integration of a single particle system -- an isolated polar molecule -- with mesoscopic solid state devices in a way that produces robust, coherent, quantum-level control. The methods described include the trapping, cooling, detection, coherent manipulation and quantum coupling of isolated polar molecules at sub-micron dimensions near cryogenic stripline microwave resonators. We show that electrostatically trapped polar molecules can exhibit strong confinement and fast, purely electrical gate control. Furthermore, the effect of electrical noise sources, a key issue in quantum information processing, can be suppressed to very low levels via appropriate preparation and manipulation of the polar molecules. Our setup provides a scalable cavity QED-type quantum computer architecture, where entanglement of distant qubits stored in long-lived rotational molecular states is achieved via exchange of microwave photons.
[ { "version": "v1", "created": "Tue, 23 May 2006 20:23:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Andre", "A.", "" ], [ "DeMille", "D.", "" ], [ "Doyle", "J. M.", "" ], [ "Lukin", "M. D.", "" ], [ "Maxwell", "S. E.", "" ], [ "Rabl", "P.", "" ], [ "Schoelkopf", "R.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/0605202
Han Pu
Han Pu, Peter Maenner, Weiping Zhang, and Hong Y. Ling
Adiabatic Condition for Nonlinear Systems
4 pages, 3 figures
null
10.1103/PhysRevLett.98.050406
null
quant-ph
null
We revisit the adiabatic criterion in stimulated Raman adiabatic passage for the three-level $\Lambda$-system, and compare the situation with and without nonlinearity. In linear systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues and eigenstates of the Hamiltonian, a procedure that breaks down in the presence of nonlinearity. Using an explicit example relevant to photoassociation of atoms into diatomic molecules, we demonstrate that the proper way to derive the adiabatic condition for the nonlinear systems is through a linearization procedure.
[ { "version": "v1", "created": "Tue, 23 May 2006 22:37:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Pu", "Han", "" ], [ "Maenner", "Peter", "" ], [ "Zhang", "Weiping", "" ], [ "Ling", "Hong Y.", "" ] ]
quant-ph/0605203
Jian-Ming Tang
Jian-Ming Tang, Jeremy Levy, and Michael E. Flatte
All-electrical control of single ion spins in a semiconductor
5 pages, 3 figures
Phys. Rev. Lett. 97, 106803 (2006)
10.1103/PhysRevLett.97.106803
null
quant-ph cond-mat.mtrl-sci
null
We propose a method for all-electrical initialization, control and readout of the spin of single ions substituted into a semiconductor. Mn ions in GaAs form a natural example. In the ion's ground state the Mn core spin magnetic moment locks antiparallel to the spin and orbital magnetic moment of a bound valence hole from the GaAs host. Direct electrical manipulation of the ion spin is possible because electric fields manipulate the orbital wave function of the hole, and through the spin-orbit coupling the spin is reoriented as well. Coupling two or more ion spins can be achieved using electrical gates to control the size of the valence hole wave function near the semiconductor surface. This proposal for coherent manipulation of individual ionic spins and controlled coupling of ionic spins via electrical gates alone may find applications in extremely high density information storage and in scalable coherent or quantum information processing.
[ { "version": "v1", "created": "Tue, 23 May 2006 23:49:51 GMT" }, { "version": "v2", "created": "Tue, 5 Sep 2006 17:40:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Tang", "Jian-Ming", "" ], [ "Levy", "Jeremy", "" ], [ "Flatte", "Michael E.", "" ] ]
quant-ph/0605204
Cunbing Huang
Xin-Wei Zha, Cun-Bing Huang
The complete basis with an unextendible product basis and exact-entanglement bases (CBUPB) of three qubit
9 pages
null
null
null
quant-ph
null
In this paper, an unextendible product basis and exact-entanglement bases of three qubit is given, and the properties of entanglement for exact-entanglement bases are also discussed. In addition, the bound entangled mixed state is obtained from the exact-entanglement bases.
[ { "version": "v1", "created": "Wed, 24 May 2006 05:43:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Zha", "Xin-Wei", "" ], [ "Huang", "Cun-Bing", "" ] ]
quant-ph/0605205
Hank Miller
W. A. Berger and H. G. Miller
Improving the Convergence of an Iterative Algorithm Proposed By Waxman
null
null
10.1088/0305-4470/39/45/016
null
quant-ph math-ph math.MP
null
In the iterative algorithm recently proposed by Waxman for solving eigenvalue problems, we point out that the convergence rate may be improved. For many non-singular symmetric potentials which vanish asymptotically, a simple analytical relationship between the coupling constant of the potential and the ground state eigenvalue is obtained which can be used to make the algorithm more efficient.
[ { "version": "v1", "created": "Wed, 24 May 2006 07:51:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Berger", "W. A.", "" ], [ "Miller", "H. G.", "" ] ]
quant-ph/0605206
Teng-Yun Chen
Teng-Yun Chen, Jun Zhang, J.-C. Boileau, Xian-Min Jin, Bin Yang, Qiang Zhang, Tao Yang, R. Laflamme, and Jian-Wei Pan
Experimental Quantum Communication without a Shared Reference Frame
4 pages, 4 figures
Phys.Rev.Lett. 96, 150504 (2006)
10.1103/PhysRevLett.96.150504
null
quant-ph
null
We present an experimental realization of a robust quantum communication scheme [Phys. Rev. Lett. 93, 220501 (2004)] using pairs of photons entangled in polarization and time. Our method overcomes errors due to collective rotation of the polarization modes (e.g., birefringence in optical fiber or misalignment), is insensitive to the phase's fluctuation of the interferometer, and does not require any shared reference frame including time reference, except the need to label different photons. The practical robustness of the scheme is further shown by implementing a variation of the Bennett-Brassard 1984 quantum key distribution protocol over 1 km optical fiber.
[ { "version": "v1", "created": "Wed, 24 May 2006 10:47:03 GMT" }, { "version": "v2", "created": "Wed, 13 Jun 2007 03:37:33 GMT" } ]
2007-06-13T00:00:00
[ [ "Chen", "Teng-Yun", "" ], [ "Zhang", "Jun", "" ], [ "Boileau", "J. -C.", "" ], [ "Jin", "Xian-Min", "" ], [ "Yang", "Bin", "" ], [ "Zhang", "Qiang", "" ], [ "Yang", "Tao", "" ], [ "Laflamme", "R.", "" ], [ "Pan", "Jian-Wei", "" ] ]
quant-ph/0605207
Eugeniy Mikhailov
Eugeniy E. Mikhailov, Keisuke Goda, Nergis Mavalvala
Non-invasive Measurements of Cavity Parameters by Use of Squeezed Vacuum
6 pages, 4 figures
Phys. Rev. A 74, 033817 (2006)
10.1103/PhysRevA.74.033817
null
quant-ph
null
We propose and experimentally demonstrate a method for non-invasive measurements of cavity parameters by injection of squeezed vacuum into an optical cavity. The principle behind this technique is the destruction of the correlation between upper and lower quantum sidebands with respect to the carrier frequency when the squeezed field is incident on the cavity. This method is especially useful for ultrahigh $Q$ cavities, such as whispering gallery mode (WGM) cavities, in which absorption and scattering by light-induced nonlinear processes inhibit precise measurements of the cavity parameters. We show that the linewidth of a test cavity is measured to be $\gamma = 844\pm40$ kHz, which agrees with the classically measured linewidth of the cavity within the uncertainty ($\gamma=856\pm34$ kHz).
[ { "version": "v1", "created": "Wed, 24 May 2006 13:36:12 GMT" }, { "version": "v2", "created": "Tue, 18 Jul 2006 21:55:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Mikhailov", "Eugeniy E.", "" ], [ "Goda", "Keisuke", "" ], [ "Mavalvala", "Nergis", "" ] ]
quant-ph/0605208
Yurii Ivanovich Bogdanov
A.Yu. Bogdanov, Yu.I. Bogdanov, K.A. Valiev
Entanglement of Quantum States, Thermodynamical Statistical Distributions and Physical Nature of Temperature
11 pages, 2 figure, a report for the XI International Conference on Quantum Optics (ICQO-2006), May 26-31, 2006, Minsk, Belarus
null
null
null
quant-ph cond-mat.stat-mech physics.data-an
null
Thermodynamical equilibrium is considered as an effect of quantum entangling of the vacuum state of a system. An explicit mathematical model of multi- particle entangled pure quantum states is developed and analyzed. In the framework, the process of measurement results in probability distributions that exactly correspond to the heat equilibrium of a system in a thermostat.
[ { "version": "v1", "created": "Wed, 24 May 2006 13:44:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Bogdanov", "A. Yu.", "" ], [ "Bogdanov", "Yu. I.", "" ], [ "Valiev", "K. A.", "" ] ]
quant-ph/0605209
Miloslav Znojil
Miloslav Znojil
Matching method and exact solvability of discrete PT-symmetric square wells
25 pp, 3 figures
J.Phys. A39 (2006) 10247
10.1088/0305-4470/39/32/S23
null
quant-ph
null
Discrete PT-symmetric square wells are studied. Their wave functions are found proportional to classical Tshebyshev polynomials of complex argument. The compact secular equations for energies are derived giving the real spectra in certain intervals of non-Hermiticity strengths Z. It is amusing to notice that although the known square well re-emerges in the usual continuum limit, a twice as rich, upside-down symmetric spectrum is exhibited by all its present discretized predecessors.
[ { "version": "v1", "created": "Wed, 24 May 2006 13:48:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Znojil", "Miloslav", "" ] ]
quant-ph/0605210
Sascha Z\"ollner
Sascha Z\"ollner, Hans-Dieter Meyer, and Peter Schmelcher
Ultracold Few-Boson Systems in a Double-Well Trap
null
Phys. Rev. A 74, 053612 (2006)
10.1103/PhysRevA.74.053612
null
quant-ph cond-mat.other
null
We investigate the transition of a quasi-one-dimensional few-boson system from a weakly correlated to a fragmented and finally a fermionized ground state. Our numerically exact analysis, based on a multi-configurational method, explores the interplay between different shapes of external and inter-particle forces. Specifically, we demonstrate that the addition of a central barrier to an otherwise harmonic trap may supports the system's fragmentation, with a symmetry-induced distinction between even and odd atom numbers. Moreover, the impact of inhomogeneous interactions is studied, where the effective coupling strength is spatially modulated. It is laid out how the ground state can be displaced in a controlled way depending on the trap and the degree of modulation. We present the one- and two-body densities and, beyond that, highlight the role of correlations on the basis of the natural occupations.
[ { "version": "v1", "created": "Wed, 24 May 2006 14:20:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Zöllner", "Sascha", "" ], [ "Meyer", "Hans-Dieter", "" ], [ "Schmelcher", "Peter", "" ] ]
quant-ph/0605211
Aurelien Drezet
Aurelien Drezet, Andreas Hohenau, Joachim R. Krenn
Momentum transfer for momentum transfer-free which-path experiments
to appear in Phys. Rev . A (2006). (7 pages, 2 figures)
null
10.1103/PhysRevA.73.062112
null
quant-ph
null
We analyze the origin of interference disappearance in which-path double aperture experiments. We show that we can unambiguously define an observable momentum transfer between the quantum particle and the path detector and we prove in particular that the so called ``momentum transfer free'' experiments can be in fact logically interpreted in term of momentum transfer.
[ { "version": "v1", "created": "Wed, 24 May 2006 15:33:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Drezet", "Aurelien", "" ], [ "Hohenau", "Andreas", "" ], [ "Krenn", "Joachim R.", "" ] ]
quant-ph/0605212
Mark Tame
M. S. Tame, M. Paternostro, C. Hadley, S. Bose, M. S. Kim
Decoherence-based exploration of d-dimensional one-way quantum computation
8 pages, 11 figures, RevTeX 4
Phys. Rev. A 74, 042330 (2006)
10.1103/PhysRevA.74.042330
null
quant-ph cond-mat.other
null
We study the effects of amplitude and phase damping decoherence in d-dimensional one-way quantum computation (QC). Our investigation shows how information transfer and entangling gate simulations are affected for d>=2. To understand motivations for extending the one-way model to higher dimensions, we describe how d-dimensional qudit cluster states deteriorate under environmental noise. In order to protect quantum information from the environment we consider the encoding of logical qubits into physical qudits and compare entangled pairs of linear qubit-cluster states with single qudit clusters of equal length and total dimension. Our study shows a significant reduction in the performance of one-way QC for d>2 in the presence of Markovian type decoherence models.
[ { "version": "v1", "created": "Wed, 24 May 2006 15:57:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Tame", "M. S.", "" ], [ "Paternostro", "M.", "" ], [ "Hadley", "C.", "" ], [ "Bose", "S.", "" ], [ "Kim", "M. S.", "" ] ]
quant-ph/0605213
Takayuki Miyadera
Takayuki Miyadera, Hideki Imai
Wigner-Araki-Yanase theorem on Distinguishability
To be published in Phys.Rev.A
Phys.Rev.A 74, 024101 (2006)
10.1103/PhysRevA.74.024101
null
quant-ph
null
The presence of an additive conserved quantity imposes a limitation on the measurement process. According to the Wigner-Araki-Yanase theorem, the perfect repeatability and the distinguishability on the apparatus cannot be attained simultaneously. Instead of the repeatability, in this paper, the distinguishability on both systems is examined. We derive a trade-off inequality between the distinguishability of the final states on the system and the one on the apparatus. The inequality shows that the perfect distinguishability of both systems cannot be attained simultaneously.
[ { "version": "v1", "created": "Wed, 24 May 2006 16:20:28 GMT" }, { "version": "v2", "created": "Fri, 21 Jul 2006 16:15:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Miyadera", "Takayuki", "" ], [ "Imai", "Hideki", "" ] ]
quant-ph/0605214
Fu-Guo Deng
Fu-Guo Deng, Xi-Han Li, Chun-Yan Li, Ping Zhou and Hong-Yu Zhou
Quantum secure direct communication network with superdense coding and decoy photons
6 pages, 2 figure
Physcica Scripta 76 (2007) 25-30
10.1088/0031-8949/76/1/005
null
quant-ph
null
A quantum secure direct communication network scheme is proposed with quantum superdense coding and decoy photons. The servers on a passive optical network prepare and measure the quantum signal, i.e., a sequence of the $d$-dimensional Bell states. After confirming the security of the photons received from the receiver, the sender codes his secret message on them directly. For preventing a dishonest server from eavesdropping, some decoy photons prepared by measuring one photon in the Bell states are used to replace some original photons. One of the users on the network can communicate any other one. This scheme has the advantage of high capacity, and it is more convenient than others as only a sequence of photons is transmitted in quantum line.
[ { "version": "v1", "created": "Thu, 25 May 2006 05:38:27 GMT" }, { "version": "v2", "created": "Fri, 15 Jun 2007 10:34:39 GMT" } ]
2015-06-26T00:00:00
[ [ "Deng", "Fu-Guo", "" ], [ "Li", "Xi-Han", "" ], [ "Li", "Chun-Yan", "" ], [ "Zhou", "Ping", "" ], [ "Zhou", "Hong-Yu", "" ] ]
quant-ph/0605215
Ryu Sasaki
Satoru Odake and Ryu Sasaki
Unified Theory of Annihilation-Creation Operators for Solvable (`Discrete') Quantum Mechanics
43 pages, no figures, LaTeX2e, with amsmath, amssymb
J.Math.Phys. 47 (2006) 102102
10.1063/1.2349485
DPSU-06-1, YITP-06-23
quant-ph hep-th math-ph math.CA math.MP nlin.SI
null
The annihilation-creation operators $a^{(\pm)}$ are defined as the positive/negative frequency parts of the exact Heisenberg operator solution for the `sinusoidal coordinate'. Thus $a^{(\pm)}$ are hermitian conjugate to each other and the relative weights of various terms in them are solely determined by the energy spectrum. This unified method applies to most of the solvable quantum mechanics of single degree of freedom including those belonging to the `discrete' quantum mechanics.
[ { "version": "v1", "created": "Thu, 25 May 2006 07:45:15 GMT" } ]
2015-06-26T00:00:00
[ [ "Odake", "Satoru", "" ], [ "Sasaki", "Ryu", "" ] ]
quant-ph/0605216
Caroline Vandenplas Ms
M. Fannes and C. Vandenplas
Finite size mean-field models
20 pages
null
10.1088/0305-4470/39/45/001
null
quant-ph
null
We characterize the two-site marginals of exchangeable states of a system of quantum spins in terms of a simple positivity condition. This result is used in two applications. We first show that the distance between two-site marginals of permutation invariant states on N spins and exchangeable states is of order 1/N. The second application relates the mean ground state energy of a mean-field model of composite spins interacting through a product pair interaction with the mean ground state energies of the components.
[ { "version": "v1", "created": "Thu, 25 May 2006 09:12:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Fannes", "M.", "" ], [ "Vandenplas", "C.", "" ] ]
quant-ph/0605217
Marcel Novaes
J.P. Keating, M. Novaes, S.D. Prado, M. Sieber
Semiclassical structure of chaotic resonance eigenfunctions
4 pages, 4 figures; some minor corrections, some changes in presentation
Phys. Rev. Lett. 97, 150406 (2006)
10.1103/PhysRevLett.97.150406
null
quant-ph nlin.CD
null
We study the resonance (or Gamow) eigenstates of open chaotic systems in the semiclassical limit, distinguishing between left and right eigenstates of the non-unitary quantum propagator, and also between short-lived and long-lived states. The long-lived left (right) eigenstates are shown to concentrate as $\hbar\to 0$ on the forward (backward) trapped set of the classical dynamics. The limit of a sequence of eigenstates $\{\psi(\hbar)\}_{\hbar\to 0}$ is found to exhibit a remarkably rich structure in phase space that depends on the corresponding limiting decay rate. These results are illustrated for the open baker map, for which the probability density in position space is observed to have self-similarity properties.
[ { "version": "v1", "created": "Thu, 25 May 2006 16:12:02 GMT" }, { "version": "v2", "created": "Wed, 16 Aug 2006 19:57:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Keating", "J. P.", "" ], [ "Novaes", "M.", "" ], [ "Prado", "S. D.", "" ], [ "Sieber", "M.", "" ] ]
quant-ph/0605218
Mingsheng Ying
Mingsheng Ying and Yuan Feng
Quantum loop programs
null
Acta Informatica 47(4): 221-250 (2010)
null
null
quant-ph
null
Loop is a powerful program construct in classical computation, but its power is still not exploited fully in quantum computation. The exploitation of such power definitely requires a deep understanding of the mechanism of quantum loop programs. In this paper, we introduce a general scheme of quantum loops and describe its computational process. The notions of termination and almost termination are proposed for quantum loops, and the function computed by a quantum loop is defined. To show their expressive power, quantum loops are applied in describing quantum walks. Necessary and sufficient conditions for termination and almost termination of a general quantum loop on any mixed input state are presented. A quantum loop is said to be (almost) terminating if it (almost) terminates on any input state. We show that a quantum loop is almost terminating if and only if it is uniformly almost terminating. It is observed that a small disturbance either on the unitary transformation in the loop body or on the measurement in the loop guard can make any quantum loop (almost) terminating. Moreover, a representation of the function computed by a quantum loop is given in terms of finite summations of matrices. To illustrate the notions and results obtained in this paper, two simplest classes of quantum loop programs, one qubit quantum loops, and two qubit quantum loops defined by controlled gates, are carefully examined.
[ { "version": "v1", "created": "Thu, 25 May 2006 14:05:29 GMT" }, { "version": "v2", "created": "Thu, 4 Jan 2007 14:06:11 GMT" } ]
2013-04-02T00:00:00
[ [ "Ying", "Mingsheng", "" ], [ "Feng", "Yuan", "" ] ]
quant-ph/0605219
Alexander Yu. Vlasov
Alexander Yu. Vlasov
Classical simulators of quantum computers and no-go theorems
LaTeX, 22 pp, 7 fig, v2: small changes in text, refs, figs. Comments are welcome
null
null
null
quant-ph cs.OH
null
It is discussed, why classical simulators of quantum computers escape from some no-go claims like Kochen-Specker, Bell, or recent Conway-Kochen "Free Will" theorems.
[ { "version": "v1", "created": "Thu, 25 May 2006 15:47:52 GMT" }, { "version": "v2", "created": "Tue, 13 Jun 2006 12:44:57 GMT" } ]
2010-05-11T00:00:00
[ [ "Vlasov", "Alexander Yu.", "" ] ]
quant-ph/0605220
Xiaofei Huang
Xiaofei Huang
A Global Optimization Approach to Quantum Mechanics
null
null
null
Tsinghua-SIST-05-25-2006p
quant-ph
null
This paper presents a global optimization approach to quantum mechanics, which describes the most fundamental dynamics of the universe. It suggests that the wave-like behavior of (sub)atomic particles could be the critical characteristic of a global optimization method deployed by nature so that (sub)atomic systems can find their ground states corresponding to the global minimum of some energy function associated with the system. The classic time-independent Schrodinger equation is shown to be derivable from the global optimization method to support this argument.
[ { "version": "v1", "created": "Thu, 25 May 2006 22:58:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Huang", "Xiaofei", "" ] ]
quant-ph/0605221
Satoru Odake
Satoru Odake and Ryu Sasaki
Exact solution in the Heisenberg picture and annihilation-creation operators
10 pages, no figures. Abstract, Introduction revised; Conclusion added; Document-class changed. To appear in Phys. Lett. B
Phys.Lett. B641 (2006) 112-117
10.1016/j.physletb.2006.08.017
DPSU-06-2, YITP-06-24
quant-ph hep-th math-ph math.CA math.MP nlin.SI
null
The annihilation-creation operators of the harmonic oscillator, the basic and most important tools in quantum physics, are generalised to most solvable quantum mechanical systems of single degree of freedom including the so-called `discrete' quantum mechanics. They admit exact Heisenberg operator solution. We present unified definition of the annihilation-creation operators (a^{(\pm)}) as the positive/negative frequency parts of the exact Heisenberg operator solution.
[ { "version": "v1", "created": "Fri, 26 May 2006 04:55:00 GMT" }, { "version": "v2", "created": "Thu, 17 Aug 2006 04:39:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Odake", "Satoru", "" ], [ "Sasaki", "Ryu", "" ] ]
quant-ph/0605222
Robert Collins
Karen J. Gordon, Veronica Fernandez, Paul D. Townsend, and Gerald S. Buller
A Short Wavelength GigaHertz Clocked Fiber-Optic Quantum Key Distribution System
Pre-press version
IEEE Journal of Quantum Electronics, Volume 40 (7), pp900-908 (2004)
10.1109/JQE.2004.830182
null
quant-ph
null
A quantum key distribution system has been developed, using standard telecommunications optical fiber, which is capable of operating at clock rates of greater than 1 GHz. The quantum key distribution system implements a polarization encoded version of the B92 protocol. The system employs vertical-cavity surface-emitting lasers with emission wavelengths of 850 nm as weak coherent light sources, and silicon single photon avalanche diodes as the single photon detectors. A distributed feedback laser of emission wavelength 1.3 micro-metres, and a linear gain germanium avalanche photodiode was used to optically synchronize individual photons over the standard telecommunications fiber. The quantum key distribution system exhibited a quantum bit error rate of 1.4%, and an estimated net bit rate greater than 100,000 bits-per-second for a 4.2 km transmission range. For a 10 km fiber range a quantum bit error rate of 2.1%, and estimated net bit rate of greater than 7,000 bits-per-second was achieved.
[ { "version": "v1", "created": "Fri, 26 May 2006 10:12:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Gordon", "Karen J.", "" ], [ "Fernandez", "Veronica", "" ], [ "Townsend", "Paul D.", "" ], [ "Buller", "Gerald S.", "" ] ]
quant-ph/0605223
Vittorio Giovannetti
Vittorio Giovannetti
Entanglement and statistics in Hong-Ou-Mandel interferometry
7 pages, 3 figures; minor editorial changes and new references added
Laser Phys. 16 (2006) 1406-1410
10.1134/S1054660X06100033
null
quant-ph cond-mat.mes-hall hep-th
null
Hong-Ou-Mandel interferometry allows one to detect the presence of entanglement in two-photon input states. The same result holds for two-particles input states which obey to Fermionic statistics. In the latter case however anti-bouncing introduces qualitative differences in the interferometer response. This effect is analyzed in a Gedankenexperiment where the particles entering the interferometer are assumed to belong to a one-parameter family of quons which continuously interpolate between the Bosonic and Fermionic statistics.
[ { "version": "v1", "created": "Fri, 26 May 2006 10:34:23 GMT" }, { "version": "v2", "created": "Sat, 1 Jul 2006 11:40:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Giovannetti", "Vittorio", "" ] ]
quant-ph/0605224
Dennis Kretschmann
Giacomo Mauro D'Ariano, Dennis Kretschmann, Dirk Schlingemann, Reinhard F. Werner
Reexamination of Quantum Bit Commitment: the Possible and the Impossible
v1: 26 pages, 4 eps figures. v2: 31 pages, 5 eps figures; replaced with published version; title changed to comply with puzzling Phys. Rev. regulations; impossibility proof extended to protocols with infinitely many rounds or a continuous communication tree; security proof of decoherence monster protocol expanded; presentation clarified
Phys. Rev. A 76, 032328 (2007)
10.1103/PhysRevA.76.032328
null
quant-ph
null
Bit commitment protocols whose security is based on the laws of quantum mechanics alone are generally held to be impossible. In this paper we give a strengthened and explicit proof of this result. We extend its scope to a much larger variety of protocols, which may have an arbitrary number of rounds, in which both classical and quantum information is exchanged, and which may include aborts and resets. Moreover, we do not consider the receiver to be bound to a fixed "honest" strategy, so that "anonymous state protocols", which were recently suggested as a possible way to beat the known no-go results are also covered. We show that any concealing protocol allows the sender to find a cheating strategy, which is universal in the sense that it works against any strategy of the receiver. Moreover, if the concealing property holds only approximately, the cheat goes undetected with a high probability, which we explicitly estimate. The proof uses an explicit formalization of general two party protocols, which is applicable to more general situations, and a new estimate about the continuity of the Stinespring dilation of a general quantum channel. The result also provides a natural characterization of protocols that fall outside the standard setting of unlimited available technology, and thus may allow secure bit commitment. We present a new such protocol whose security, perhaps surprisingly, relies on decoherence in the receiver's lab.
[ { "version": "v1", "created": "Fri, 26 May 2006 15:26:19 GMT" }, { "version": "v2", "created": "Mon, 15 Oct 2007 14:34:02 GMT" } ]
2013-05-29T00:00:00
[ [ "D'Ariano", "Giacomo Mauro", "" ], [ "Kretschmann", "Dennis", "" ], [ "Schlingemann", "Dirk", "" ], [ "Werner", "Reinhard F.", "" ] ]
quant-ph/0605225
Yafei Yu
Yafei Yu, Yi Xu, Jin Liu
A quantum secret sharing scheme among three parties ultilizing four-qubit Smolin bound entangled state
null
null
null
null
quant-ph
null
Four-qubit Smolin bound entangled state has a distinct feature: the state is not distillable when every qubit is seperated from each other; but it makes two separated qubit entangled if the other qubits group together. Here the feature is applied to quantum secret sharing, a QSS protocol similar to Ekert 91 protocol of QKD is proposed. The security problem, disadvantage and advantageof this protocol are disscused.
[ { "version": "v1", "created": "Fri, 26 May 2006 14:49:49 GMT" }, { "version": "v2", "created": "Sun, 28 May 2006 09:50:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Yu", "Yafei", "" ], [ "Xu", "Yi", "" ], [ "Liu", "Jin", "" ] ]
quant-ph/0605226
Feng Lu
Feng Lu and Dan C. Marinescu
Quantum Error Correction of Time-Correlated Errors
14 pages, 3 figures
null
null
null
quant-ph
null
The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error corrected during the previous cycle may reoccur later due to physical processes specific for each physical implementation of the qubits. In this paper we study quantum error correction for a restricted class of time-correlated errors in a spin-boson model. The algorithm we propose allows the correction of two errors per error correction cycle, provided that one of them is time-correlated. The algorithm can be applied to any stabilizer code when the two logical qubits $\mid 0_L>$ and $\mid 1_L>$ are entangled states of $2^{n}$ basis states in $\mathcal{H}_{2^n}$.
[ { "version": "v1", "created": "Fri, 26 May 2006 18:50:10 GMT" }, { "version": "v2", "created": "Tue, 30 Jan 2007 20:25:27 GMT" }, { "version": "v3", "created": "Tue, 13 Feb 2007 00:35:37 GMT" }, { "version": "v4", "created": "Fri, 6 Apr 2007 20:57:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Lu", "Feng", "" ], [ "Marinescu", "Dan C.", "" ] ]
quant-ph/0605227
Vinay Ambegaokar
Vinay Ambegaokar
Equilibration of a dissipative quantum oscillator
null
Ann. Phys. (Leipzig) 16, 319 (2007)
10.1002/andp.200610236
null
quant-ph cond-mat.stat-mech
null
An explicit demonstration is given of a harmonic oscillator in equilibrium approaching the equilibrium of a corresponding interacting system by coupling it to a thermal bath consisting of a continuum of harmonic oscillators.
[ { "version": "v1", "created": "Fri, 26 May 2006 18:28:20 GMT" } ]
2007-06-27T00:00:00
[ [ "Ambegaokar", "Vinay", "" ] ]
quant-ph/0605228
Kovid Goyal
Kovid Goyal, Alex McCauley and Robert Raussendorf
Purification of large bicolorable graph states
12 pages, 5 figures, revtex; typos and clarifications added
Phys. Rev. A 74, 032318 (2006)
10.1103/PhysRevA.74.032318
null
quant-ph
null
We describe novel purification protocols for bicolorable graph states. The protocols scale efficiently for large graph states. We introduce a method of analysis that allows us to derive simple recursion relations characterizing their behavior as well as analytical expressions for their thresholds and fixed point behavior. We introduce two purification protocols with high threshold. They can, for graph degree four, tolerate 1% (3%) gate error or 20% (30%) local error.
[ { "version": "v1", "created": "Sun, 28 May 2006 17:24:30 GMT" }, { "version": "v2", "created": "Sun, 17 Sep 2006 19:24:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Goyal", "Kovid", "" ], [ "McCauley", "Alex", "" ], [ "Raussendorf", "Robert", "" ] ]
quant-ph/0605229
Alberto Marino
Alberto M. Marino and C. R. Stroud, Jr
Deterministic Secure Communications using Two-Mode Squeezed States
10 pages, 4 figures
null
10.1103/PhysRevA.74.022315
null
quant-ph
null
We propose a scheme for quantum cryptography that uses the squeezing phase of a two-mode squeezed state to transmit information securely between two parties. The basic principle behind this scheme is the fact that each mode of the squeezed field by itself does not contain any information regarding the squeezing phase. The squeezing phase can only be obtained through a joint measurement of the two modes. This, combined with the fact that it is possible to perform remote squeezing measurements, makes it possible to implement a secure quantum communication scheme in which a deterministic signal can be transmitted directly between two parties while the encryption is done automatically by the quantum correlations present in the two-mode squeezed state.
[ { "version": "v1", "created": "Fri, 26 May 2006 23:08:00 GMT" } ]
2012-08-27T00:00:00
[ [ "Marino", "Alberto M.", "" ], [ "Stroud,", "C. R.", "Jr" ] ]
quant-ph/0605230
Alberto Marino
Alberto M. Marino, C. R. Stroud, Jr., Vincent Wong, Ryan S. Bennink, and Robert W. Boyd
Bichromatic Local Oscillator for Detection of Two-Mode Squeezed States of Light
11 pages, 3 figures
null
10.1364/JOSAB.24.000335
null
quant-ph
null
We present a new technique for the detection of two-mode squeezed states of light that allows for a simple characterization of these quantum states. The usual detection scheme, based on heterodyne measurements, requires the use of a local oscillator with a frequency equal to the mean of the frequencies of the two modes of the squeezed field. As a result, unless the two modes are close in frequency, a high-frequency shot-noise-limited detection system is needed. We propose the use of a bichromatic field as the local oscillator in the heterodyne measurements. By the proper selection of the frequencies of the bichromatic field, it is possible to arbitrarily select the frequency around which the squeezing information is located, thus making it possible to use a low-bandwidth detection system and to move away from any excess noise present in the system.
[ { "version": "v1", "created": "Fri, 26 May 2006 23:26:49 GMT" } ]
2015-06-26T00:00:00
[ [ "Marino", "Alberto M.", "" ], [ "Stroud,", "C. R.", "Jr." ], [ "Wong", "Vincent", "" ], [ "Bennink", "Ryan S.", "" ], [ "Boyd", "Robert W.", "" ] ]
quant-ph/0605231
Giovanna Morigi Dr
David Vitali, Giovanna Morigi, J\"urgen Eschner
A single cold atom as efficient stationary source of EPR-entangled light
13 pages, 5 figures
Phys. Rev. A 74, 053814 (2006)
10.1103/PhysRevA.74.053814
null
quant-ph
null
The Stokes and anti-Stokes components of the spectrum of resonance fluorescence of a single trapped atom, which originate from the mechanical coupling between the scattered photons and the quantized motion of the atomic center of mass, exhibit quantum correlations which are of two-mode-squeezing type. We study and demonstrate the build-up of such correlations in a specific setup, which is experimentally accessible, and where the atom acts as efficient and continuous source of EPR-entangled, two-mode squeezed light.
[ { "version": "v1", "created": "Sat, 27 May 2006 13:34:01 GMT" }, { "version": "v2", "created": "Fri, 26 Jan 2007 13:34:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Vitali", "David", "" ], [ "Morigi", "Giovanna", "" ], [ "Eschner", "Jürgen", "" ] ]
quant-ph/0605232
Gustavo Lima
G. Lima, Leonardo Neves, Ivan F. Santos, J. G. Aguirre G\'omez, C. Saavedra and S. P\'adua
Propagation of spatially entangled qudits through free space
5 Pages, 4 Figures, REVTeX4
Physical Review A 73, 032340 (2006)
10.1103/PhysRevA.73.032340
null
quant-ph
null
We show the propagation of entangled states of high-dimensional quantum systems. The qudits states were generated using the transverse correlation of the twin photons produced by spontaneous parametric down-conversion. Their free-space distribution was performed at the laboratory scale and the propagated states maintained a high-fidelity with their original form. The use of entangled qudits allow an increase in the quantity of information that can be transmitted and may also guarantee more privacy for communicating parties. Therefore, studies about propagating entangled states of qudits are important for the effort of building quantum communication networks.
[ { "version": "v1", "created": "Mon, 29 May 2006 04:30:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Lima", "G.", "" ], [ "Neves", "Leonardo", "" ], [ "Santos", "Ivan F.", "" ], [ "Gómez", "J. G. Aguirre", "" ], [ "Saavedra", "C.", "" ], [ "Pádua", "S.", "" ] ]
quant-ph/0605233
Bhabani Prasad Mandal Dr.
Bhabani Prasad Mandal (Banaras Hindu University) and Saurabh Gupta
Pseudo-Hermitian Interactions in Dirac Theory: Examples
13 pages, Latex, No figs, Revised version to appear in MPLA
Mod. Phys. Lett. A 25, 1723 (2010)
10.1142/S0217732310032901
null
quant-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a couple of examples to study the pseudo-Hermitian interaction in relativistic quantum mechanics. Rasbha interaction, commonly used to study the spin Hall effect, is considered with imaginary coupling. The corresponding Dirac Hamiltonian is shown to be parity pseudo-Hermitian. In the other example we consider parity pseudo-Hermitian scalar interaction with arbitrary parameter in Dirac theory. In both the cases we show that the energy spectrum is real and all the other features of non-relativistic pseudo-Hermitian formulation are present. Using the spectral method the positive definite metric operator ($\eta$) has been calculated explicitly for both the models to ensure positive definite norms for the state vectors.
[ { "version": "v1", "created": "Mon, 29 May 2006 05:57:42 GMT" }, { "version": "v2", "created": "Sat, 17 Feb 2007 05:55:47 GMT" }, { "version": "v3", "created": "Thu, 18 Feb 2010 11:29:45 GMT" } ]
2015-09-30T00:00:00
[ [ "Mandal", "Bhabani Prasad", "", "Banaras Hindu University" ], [ "Gupta", "Saurabh", "" ] ]
quant-ph/0605234
Paul Barclay
Paul E. Barclay, Benjamin Lev, Kartik Srinivasan, Oskar Painter, Hideo Mabuchi
Integration of fiber coupled high-Q silicon nitride microdisks with atom chips
Published vesion. Minor changes
Appl. Phys. Lett. 89, 131108 (2006)
10.1063/1.2356892
null
quant-ph physics.optics
null
Micron scale silicon nitride (SiN_x) microdisk optical resonators are demonstrated with Q = 3.6 x 10^6 and an effective mode volume of 15 (\lambda / n)^3 at near visible wavelengths. A hydrofluoric acid wet etch provides sensitive tuning of the microdisk resonances, and robust mounting of a fiber taper provides efficient fiber optic coupling to the microdisks while allowing unfettered optical access for laser cooling and trapping of atoms. Measurements indicate that cesium adsorption on the SiN_x surfaces significantly red-detunes the microdisk resonances. A technique for parallel integration of multiple (10) microdisks with a single fiber taper is also demonstrated.
[ { "version": "v1", "created": "Mon, 29 May 2006 07:00:43 GMT" }, { "version": "v2", "created": "Tue, 30 May 2006 05:42:46 GMT" }, { "version": "v3", "created": "Wed, 27 Sep 2006 20:35:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Barclay", "Paul E.", "" ], [ "Lev", "Benjamin", "" ], [ "Srinivasan", "Kartik", "" ], [ "Painter", "Oskar", "" ], [ "Mabuchi", "Hideo", "" ] ]
quant-ph/0605235
Bernhard G. Bodmann
Bernhard G. Bodmann, David W. Kribs and Vern I. Paulsen
Decoherence-Insensitive Quantum Communication by Optimal C^*-Encoding
20 pages, no figures, amsart
null
null
null
quant-ph
null
The central issue in this article is to transmit a quantum state in such a way that after some decoherence occurs, most of the information can be restored by a suitable decoding operation. For this purpose, we incorporate redundancy by mapping a given initial quantum state to a messenger state on a larger-dimensional Hilbert space via a $C^*$-algebra embedding. Our noise model for the transmission is a phase damping channel which admits a noiseless or decoherence-free subspace or subsystem. More precisely, the transmission channel is obtained from convex combinations of a set of lowest rank yes/no measurements that leave a component of the messenger state unchanged. The objective of our encoding is to distribute quantum information optimally across the noise-susceptible component of the transmission when the noiseless component is not large enough to contain all the quantum information to be transmitted. We derive simple geometric conditions for optimal encoding and construct examples.
[ { "version": "v1", "created": "Mon, 29 May 2006 18:34:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Bodmann", "Bernhard G.", "" ], [ "Kribs", "David W.", "" ], [ "Paulsen", "Vern I.", "" ] ]
quant-ph/0605236
Adnan Tegmen
T. Hakioglu, A. Tegmen, B. Demircioglu
$\hbar$-independent Universality of the Quantum-Classical Canonical Transformations
13 pages, no figures
Phys. Lett. A 360 (2007) 501-506
10.1016/j.physleta.2006.08.060
null
quant-ph
null
A theory of non-unitary-invertible as well as unitary canonical transformations is formulated in the context of Weyl's phase space representations. That all quantum canonical transformations without an explicit $\hbar$ dependence are also classical mechanical and vice versa is demonstrated in the phase space. Contrary to some earlier results, it is also shown that the quantum generators and their classical counterparts are identical and $\hbar$-independent. The latter is a powerful result bringing the theory of classical canonical transformations and the $\hbar$-independent quantum ones on an equal footing.
[ { "version": "v1", "created": "Mon, 29 May 2006 07:58:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Hakioglu", "T.", "" ], [ "Tegmen", "A.", "" ], [ "Demircioglu", "B.", "" ] ]
quant-ph/0605237
Vivi Petersen
Vivi Petersen and Klaus Molmer
Estimation of fluctuating magnetic fields by an atomic magnetometer
8 pages, 6 figures
null
10.1103/PhysRevA.74.043802
null
quant-ph
null
We present a theoretical analysis of the ability of atomic magnetometers to estimate a fluctuating magnetic field. Our analysis makes use of a Gaussian state description of the atoms and the probing field, and it presents the estimator of the field and a measure of its uncertainty which coincides in the appropriate limit with the achievements for a static field. We show by simulations that the estimator for the current value of the field systematically lags behind the actual value of the field, and we suggest a more complete theory, where measurement results at any time are used to update and improve both the estimate of the current value and the estimate of past values of the B-field.
[ { "version": "v1", "created": "Mon, 29 May 2006 08:25:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Petersen", "Vivi", "" ], [ "Molmer", "Klaus", "" ] ]
quant-ph/0605238
Gabriel Hetet
G. Hetet, A. Peng, M. T. Johnsson, M. T. L. Hsu, O. Gloeckl, P. K. Lam, H .A. Bachor, and J. J. Hope
Erratum : Squeezing and entanglement delay using slow light
1 page, no figure
null
10.1103/PhysRevA.74.059902
null
quant-ph
null
An inconsistency was found in the equations used to calculate the variance of the quadrature fluctuations of a field propagating through a medium demonstrating electromagnetically induced transparency (EIT). The decoherence term used in our original paper introduces inconsistency under weak probe approximation. In this erratum we give the Bloch equations with the correct dephasing terms. The conclusions of the original paper remain the same. Both entanglement and squeezing can be delayed and preserved using EIT without adding noise when the decoherence rate is small.
[ { "version": "v1", "created": "Mon, 29 May 2006 09:25:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Hetet", "G.", "" ], [ "Peng", "A.", "" ], [ "Johnsson", "M. T.", "" ], [ "Hsu", "M. T. L.", "" ], [ "Gloeckl", "O.", "" ], [ "Lam", "P. K.", "" ], [ "Bachor", "H . A.", "" ], [ "Hope", "J. J.", "" ] ]
quant-ph/0605239
Michel R. P. Planat
Michel R. P. Planat (FEMTO-ST), Metod Saniga (FEMTO-ST, Astrinstsav), Maurice R. Kibler (IPNL)
Quantum Entanglement and Projective Ring Geometry
13 pages, 6 figures Fig. 3 improved, typos corrected; Version 4: Final Version Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2 (2006) Paper 066, 14 pages
null
null
quant-ph math-ph math.MP
null
The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts about quantum complementarity and maximal quantum entanglement in such systems, we demonstrate that the 15$\times$15 multiplication table of the associated four-dimensional matrices exhibits a so-far-unnoticed geometrical structure that can be regarded as three pencils of lines in the projective plane of order two. In one of the pencils, which we call the kernel, the observables on two lines share a base of Bell states. In the complement of the kernel, the eight vertices/observables are joined by twelve lines which form the edges of a cube. A substantial part of the paper is devoted to showing that the nature of this geometry has much to do with the structure of the projective lines defined over the rings that are the direct product of $n$ copies of the Galois field GF(2), with $n$ = 2, 3 and 4.
[ { "version": "v1", "created": "Mon, 29 May 2006 12:28:28 GMT" }, { "version": "v2", "created": "Mon, 12 Jun 2006 13:04:42 GMT" }, { "version": "v3", "created": "Tue, 15 Aug 2006 19:26:24 GMT" }, { "version": "v4", "created": "Fri, 18 Aug 2006 13:10:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Planat", "Michel R. P.", "", "FEMTO-ST" ], [ "Saniga", "Metod", "", "FEMTO-ST, Astrinstsav" ], [ "Kibler", "Maurice R.", "", "IPNL" ] ]
quant-ph/0605240
XiaoHu Zheng
Xiao-Hu Zheng, Ping Dong, Zheng-Yuan Xue, Zhuo-Liang Cao
Generation of cluster states with Josephson charge qubits
3 figures, 4 pages
Phys. Lett. A 365, 156 (2007) .
10.1016/j.physleta.2006.12.066
null
quant-ph
null
A scheme for the generation of the cluster states based on the Josephson charge qubit is proposed. The two-qubit generating case is first introduced, and then generalized to multi-qubit case. The scheme is simple and easily manipulated, because any two charge qubits can be selectively and effectively coupled by a common inductance. More manipulations can be realized before decoherence sets in. All the devices in the scheme are well within the current technology.
[ { "version": "v1", "created": "Mon, 29 May 2006 12:45:48 GMT" } ]
2008-04-01T00:00:00
[ [ "Zheng", "Xiao-Hu", "" ], [ "Dong", "Ping", "" ], [ "Xue", "Zheng-Yuan", "" ], [ "Cao", "Zhuo-Liang", "" ] ]
quant-ph/0605241
Olli-Pentti Saira
Olli-Pentti Saira, Ville Bergholm, Teemu Ojanen, Mikko Mottonen
Equivalent qubit dynamics under classical and quantum noise
5 pages, 2 figures; converted to PRA format, added Fig. 2, corrected typos
Phys. Rev. A 75, 012308 (2007)
10.1103/PhysRevA.75.012308
null
quant-ph
null
We study the dynamics of quantum systems under classical and quantum noise, focusing on decoherence in qubit systems. Classical noise is described by a random process leading to a stochastic temporal evolution of a closed quantum system, whereas quantum noise originates from the coupling of the microscopic quantum system to its macroscopic environment. We derive deterministic master equations describing the average evolution of the quantum system under classical continuous-time Markovian noise and two sets of master equations under quantum noise. Strikingly, these three equations of motion are shown to be equivalent in the case of classical random telegraph noise and proper quantum environments. Hence fully quantum-mechanical models within the Born approximation can be mapped to a quantum system under classical noise. Furthermore, we apply the derived equations together with pulse optimization techniques to achieve high-fidelity one-qubit operations under random telegraph noise, and hence fight decoherence in these systems of great practical interest.
[ { "version": "v1", "created": "Mon, 29 May 2006 12:59:19 GMT" }, { "version": "v2", "created": "Fri, 16 Feb 2007 08:01:30 GMT" } ]
2010-10-25T00:00:00
[ [ "Saira", "Olli-Pentti", "" ], [ "Bergholm", "Ville", "" ], [ "Ojanen", "Teemu", "" ], [ "Mottonen", "Mikko", "" ] ]