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quant-ph/0612163
Johan Wulleman
Johan Wulleman
Uncoupling Which-Way Information from Interference: A Novel Interference Experiment using a Super-Focused Laser Beam
36 pages, 4 figures
J. Wulleman, Concepts of Physics 3 (2006) 211-261, available from http://merlin.fic.uni.lodz.pl/concepts/index.htm
null
null
quant-ph
null
The generally accepted view in quantum theory is that information about which way the quantum system traveled and interference visibility are complementary. In all which-way experiments, however, an intervention takes place in the interference process in order to determine which way the quantum system took. This intervention can imply the tagging of a which-way marker to a quantum system or, for instance, blocking off one of the paths in a Mach-Zehnder interferometer so that one indirectly knows that the quantum system took the other (open) path. It is, however, this intervention that destroys the interference. In this paper a novel two-slit which-way interference experiment will be discussed and proposed for implementation that provides maximum which-way information without intervening in the interference process so that simultaneously maximum interference visibility remains preserved. This, in fact, implies an uncoupling of which-way information from interference and consequently also entails violating the duality relation P^2+V^2<1. Basically, the purpose of the proposed experiment and of this paper is to scrutinize this duality relation. The experiment makes use of a super-focused laser beam that is launched into only one of the two slits of the two-slit interference experiment.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 12:59:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Wulleman", "Johan", "" ] ]
quant-ph/0612164
Erik Sjoqvist
David Kult, Johan {\AA}berg, Erik Sj\"oqvist
Non-Abelian generalization of off-diagonal geometric phases
Additional material, journal reference added
Europhys. Lett. 78, 60004 (2007)
10.1209/0295-5075/78/60004
null
quant-ph
null
If a quantum system evolves in a noncyclic fashion the corresponding geometric phase or holonomy may not be fully defined. Off-diagonal geometric phases have been developed to deal with such cases. Here, we generalize these phases to the non-Abelian case, by introducing off-diagonal holonomies that involve evolution of more than one subspace of the underlying Hilbert space. Physical realizations of the off-diagonal holonomies in adiabatic evolution and interferometry are put forward.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 13:22:45 GMT" }, { "version": "v2", "created": "Tue, 29 May 2007 11:13:51 GMT" } ]
2011-11-09T00:00:00
[ [ "Kult", "David", "" ], [ "Åberg", "Johan", "" ], [ "Sjöqvist", "Erik", "" ] ]
quant-ph/0612165
Frank Wilhelm K.
P. Rebentrost, I. Serban, T. Schulte-Herbrueggen, and F.K. Wilhelm
Optimal control of a qubit coupled to a non-Markovian environment
5 pages, 3 figures, improved pulse shapes
Phys.Rev.Lett.102:090401,2009
10.1103/PhysRevLett.102.090401
null
quant-ph cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A central challenge for implementing quantum computing in the solid state is decoupling the qubits from the intrinsic noise of the material. We investigate the implementation of quantum gates for a paradigmatic, non-Markovian model: A single qubit coupled to a two-level system that is exposed to a heat bath. We systematically search for optimal pulses using a generalization of the novel open systems Gradient Ascent Pulse Engineering (GRAPE) algorithm. We show and explain that next to the known optimal bias point of this model, there are optimal shapes which refocus unwanted terms in the Hamiltonian. We study the limitations of controls set by the decoherence properties. This can lead to a significant improvement of quantum operations in hostile environments.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 14:13:56 GMT" }, { "version": "v2", "created": "Wed, 31 Jan 2007 22:19:03 GMT" }, { "version": "v3", "created": "Wed, 10 Dec 2008 19:49:26 GMT" } ]
2010-04-22T00:00:00
[ [ "Rebentrost", "P.", "" ], [ "Serban", "I.", "" ], [ "Schulte-Herbrueggen", "T.", "" ], [ "Wilhelm", "F. K.", "" ] ]
quant-ph/0612166
Damaskinsky Evgeniy Viktorovich
Vadim V. Borzov, Eugene V. Damaskinsky
Coherent States for generalized oscillator with finite-dimensional Hilbert space
English translation of the article published in Russian
ZNS POMI vol.335, 75-99 (2006)
null
null
quant-ph
null
The construction of oscillator-like systems connected with the given set of orthogonal polynomials and coherent states for such systems developed by authors is extended to the case of the systems with finite-dimensional state space. As example we consider the generalized oscillator connected with Krawtchouk polynomials.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 17:22:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Borzov", "Vadim V.", "" ], [ "Damaskinsky", "Eugene V.", "" ] ]
quant-ph/0612167
Antonio Acin
Antonio Acin, J. Ignacio Cirac and Maciej Lewenstein
Entanglement Percolation in Quantum Networks
Accepted for publication in Nature Physics. This is the original submitted version
null
10.1038/nphys549
null
quant-ph
null
Quantum networks are composed of nodes which can send and receive quantum states by exchanging photons. Their goal is to facilitate quantum communication between any nodes, something which can be used to send secret messages in a secure way, and to communicate more efficiently than in classical networks. These goals can be achieved, for instance, via teleportation. Here we show that the design of efficient quantum communication protocols in quantum networks involves intriguing quantum phenomena, depending both on the way the nodes are displayed, and the entanglement between them. These phenomena can be employed to design protocols which overcome the exponential decrease of signals with the number of nodes. We relate the problem of establishing maximally entangled states between nodes to classical percolation in statistical mechanics, and demonstrate that quantum phase transitions can be used to optimize the operation of quantum networks.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 17:45:15 GMT" } ]
2015-06-26T00:00:00
[ [ "Acin", "Antonio", "" ], [ "Cirac", "J. Ignacio", "" ], [ "Lewenstein", "Maciej", "" ] ]
quant-ph/0612168
Daniel Braun
Ludovic Arnaud and Daniel Braun
Distribution of interference in random quantum algorithms
14 pages revtex, 11 eps figures
Phys. Rev. A 75, 062314 (2007)
10.1103/PhysRevA.75.062314
null
quant-ph
null
We study the amount of interference in random quantum algorithms using a recently derived quantitative measure of interference. To this end we introduce two random circuit ensembles composed of random sequences of quantum gates from a universal set, mimicking quantum algorithms in the quantum circuit representation. We show numerically that these ensembles converge to the well--known circular unitary ensemble (CUE) for general complex quantum algorithms, and to the Haar orthogonal ensemble (HOE) for real quantum algorithms. We provide exact analytical formulas for the average and typical interference in the circular ensembles, and show that for sufficiently large numbers of qubits a random quantum algorithm uses with probability close to one an amount of interference approximately equal to the dimension of the Hilbert space. As a by-product, we offer a new way of efficiently constructing random operators from the Haar measures of CUE or HOE in a high dimensional Hilbert space using universal sets of quantum gates.
[ { "version": "v1", "created": "Tue, 19 Dec 2006 19:09:48 GMT" } ]
2010-06-23T00:00:00
[ [ "Arnaud", "Ludovic", "" ], [ "Braun", "Daniel", "" ] ]
quant-ph/0612169
Jevon Longdell
G. H\'etet, J. J. Longdell, A. L. Alexander, P. K. Lam, M. J. Sellars
Gradient Echo Quantum Memory for Light using Two-level Atoms
4 pages, 4 figures
null
10.1103/PhysRevLett.100.023601
null
quant-ph
null
We propose a quantum memory for light that is analogous to the NMR gradient echo. Our proposal is ideally perfectly efficient and provides simplifications to current 3-level quantum memory schemes based on controlled inhomogeneous broadening. Our scheme does not require auxiliary light fields. Instead the input optical pulse interacts only with two-level atoms that have linearly increasing Stark shifts. By simply reversing the sign of the atomic Stark shifts, the pulse is retrieved in the forward direction. We present analytical, numerical and experimental results of this scheme. We report experimental efficiencies of up to 15% and suggest simple realizable improvements to significantly increase the efficiency.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 04:17:42 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 02:17:27 GMT" } ]
2013-05-29T00:00:00
[ [ "Hétet", "G.", "" ], [ "Longdell", "J. J.", "" ], [ "Alexander", "A. L.", "" ], [ "Lam", "P. K.", "" ], [ "Sellars", "M. J.", "" ] ]
quant-ph/0612170
Mark Wilde
Mark M. Wilde, Hari Krovi, Todd A. Brun
Coherent Communication with Continuous Quantum Variables
4 pages, 3 figures
Physical Review A 75, 060303(R) (2007)
10.1103/PhysRevA.75.060303
CSI-07-07-01
quant-ph
null
The coherent bit (cobit) channel is a resource intermediate between classical and quantum communication. It produces coherent versions of teleportation and superdense coding. We extend the cobit channel to continuous variables by providing a definition of the coherent nat (conat) channel. We construct several coherent protocols that use both a position-quadrature and a momentum-quadrature conat channel with finite squeezing. Finally, we show that the quality of squeezing diminishes through successive compositions of coherent teleportation and superdense coding.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 07:36:41 GMT" }, { "version": "v2", "created": "Mon, 18 Jun 2007 18:02:49 GMT" } ]
2011-11-09T00:00:00
[ [ "Wilde", "Mark M.", "" ], [ "Krovi", "Hari", "" ], [ "Brun", "Todd A.", "" ] ]
quant-ph/0612171
Thomas Sch\"urmann
Thomas Sch\"urmann
On the measurement probability of quantum phases
3 pages, 1 figure, completely revised, content unchanged
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the probability by which quantum phase measurements of a given precision can be done successfully. The least upper bound of this probability is derived and the associated optimal state vectors are determined. The probability bound represents an unique and continuous transition between macroscopic and microscopic measurement precisions.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 07:21:15 GMT" }, { "version": "v2", "created": "Wed, 7 Nov 2007 21:18:15 GMT" }, { "version": "v3", "created": "Sat, 14 Feb 2009 17:39:50 GMT" } ]
2009-02-14T00:00:00
[ [ "Schürmann", "Thomas", "" ] ]
quant-ph/0612172
Matteo G. A. Paris
Federico Casagrande, Alfredo Lulli, Matteo G. A. Paris
Improving the entanglement transfer from continuous variable systems to localized qubits using non Gaussian states
revised version, 11 pages, 7 figures (few of them low-res)
Phys. Rev A 75, 032336 (2007)
10.1103/PhysRevA.75.032336
null
quant-ph
null
We investigate the entanglement transfer from a bipartite continuous-variable (CV) system to a pair of localized qubits assuming that each CV mode couples to one qubit via the off-resonance Jaynes-Cummings interaction with different interaction times for the two subsystems. First, we consider the case of the CV system prepared in a Bell-like superposition and investigate the conditions for maximum entanglement transfer. Then we analyze the general case of two-mode CV states that can be represented by a Schmidt decomposition in the Fock number basis. This class includes both Gaussian and non Gaussian CV states, as for example twin-beam (TWB) and pair-coherent (TMC, also known as two-mode-coher ent) states respectively. Under resonance conditions, equal interaction times for both qubits and different initial preparations, we find that the entanglement transfer is more efficient for TMC than for TWB states. In the perspective of applications such as in cavity QED or with superconducting qubits, we analyze in details the effects of off-resonance interactions (detuning) and different interaction times for the two qubits, and discuss conditions to preserve the entanglement transfer.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 07:51:52 GMT" }, { "version": "v2", "created": "Fri, 12 Jan 2007 10:21:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Casagrande", "Federico", "" ], [ "Lulli", "Alfredo", "" ], [ "Paris", "Matteo G. A.", "" ] ]
quant-ph/0612173
Hartmut Wachter
Hartmut Wachter
Quantum kinematics on q-deformed quantum spaces I, Mathematical Framework
null
null
null
null
quant-ph
null
The aim of these two papers (I and II) is to try to give fundamental concepts of quantum kinematics to q-deformed quantum spaces. Paper I introduces the relevant mathematical concepts. A short review of the basic ideas of q-deformed analysis is given. These considerations are continued by introducing q-deformed analogs of Fourier transformations and delta functions. Their properties are discussed in detail. Furthermore, q-deformed versions of sesquilinear forms are defined, their basic properties are derived, and q-analogs of the Fourier-Plancherel identity are proved. In paper II these reasonings are applied to wave functions on position and momentum space.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 09:21:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Wachter", "Hartmut", "" ] ]
quant-ph/0612174
Hartmut Wachter
Hartmut Wachter
Quantum kinematics on q-deformed quantum spaces II, Wave functions on position and momentum space
72 pages, no figures, Latex
null
null
null
quant-ph
null
The aim of Part II of this paper is to try to describe wave functions on q-deformed versions of position and momentum space. This task is done within the framework developed in Part I of the paper. In order to make Part II self-contained the most important results of Part I are reviewed. Then it is shown that q-deformed exponentials and q-deformed delta functions play the role of momentum and position eigenfunctions, respectively. Their completeness and orthonormality relations are derived. For both bases of eigenfunctions matrix elements of position and momentum operators are calculated. A q-deformed version of the spectral decomposition of multiplication operators is discussed and q-analogs of Heaviside functions are proposed. Interpreting the results from the point of view provided by the concept of quasipoints gives the formalism a physical meaning. The definition of expectation values and the calculation of probability densities are explained in detail. Finally, it is outlined how the considerations so far carry over to antisymmetrized spaces.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 09:42:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Wachter", "Hartmut", "" ] ]
quant-ph/0612175
Arnaud Dupays
Arnaud Dupays, Bruno Lepetit, J. Alberto Beswick, Carlo Rizzo, and Dimitar Bakalov
Hyperspherical elliptic coordinates treatment of muon transfer from muonic hydrogen to atomic oxygen
6 pages, 7 figures
Phys. Rev. A, 68, 062506 (2003)
10.1103/PhysRevA.68.062506
null
quant-ph
null
Quantum-mechanical calculations of muon transfer between muonic hydrogen and an oxygen nuclei for $s$ waves and collision energies in the range $10^{-3} - 10^3$ eV, are presented. Close-coupling time-independent Schr\"odinger equations, written in terms of hyperspherical elliptic coordinates were integrated along the hyper-radius to obtain the partial and total muon-transfer probabilities. The results show the expected Wigner-Bethe threshold behavior up to collision energies of the order of $10^{-2}$ eV and pronounced maxima at $10^2$ eV which can be interpreted in terms of crossings between potential energy curves corresponding to the entrance channel state $(\mu p)_{1s} + \mO$ and two product channels which asymptotically correlate to $p + (\mO\mu)_{n=5,6}$. The population of the final states with different orbital angular momenta is found to be essentially independent of energy in the range considered in this work. This can be attributed to a strong selection rule for the conservation of the quantum number associated to one of the elliptic hyperangles.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 10:34:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Dupays", "Arnaud", "" ], [ "Lepetit", "Bruno", "" ], [ "Beswick", "J. Alberto", "" ], [ "Rizzo", "Carlo", "" ], [ "Bakalov", "Dimitar", "" ] ]
quant-ph/0612176
Alexei Gilchrist
Casey R. Myers and Alexei Gilchrist
A photon loss tolerant Zeno CSIGN gate
null
null
10.1103/PhysRevA.75.052339
null
quant-ph
null
We model an optical implementation of a CSIGN gate that makes use of the Quantum Zeno effect [1,2] in the presence of photon loss. The raw operation of the gate is severely affected by this type of loss. However, we show that by using the same photon loss codes that have been proposed for linear optical quantum computation (LOQC), the performance is greatly enhanced and such gates can outperform LOQC equivalents. The technique can be applied to other types of nonlinearities, making the implementation of nonlinear optical gates much more attractive.
[ { "version": "v1", "created": "Wed, 20 Dec 2006 15:07:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Myers", "Casey R.", "" ], [ "Gilchrist", "Alexei", "" ] ]
quant-ph/0612177
Fabio Antonio Bovino
Fabio A. Bovino
Nonlinear Inequalities and Entropy-Concurrence Plane
null
null
10.1007/s10773-007-9574-0
null
quant-ph
null
Nonlinear inequalities based on the quadratic Renyi entropy for mixed two-qubit states are characterized on the Entropy-Concurrence plane. This class of inequalities is stronger than Clauser-Horne-Shimony-Holt (CHSH) inequalities and, in particular, are violated "in toto" by the set of Type I Maximally-Entangled-Mixture States (MEMS I).
[ { "version": "v1", "created": "Wed, 20 Dec 2006 18:22:51 GMT" }, { "version": "v2", "created": "Wed, 20 Dec 2006 22:41:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Bovino", "Fabio A.", "" ] ]
quant-ph/0612178
Peter Bruza
P.D. Bruza and R.J. Cole
Quantum Logic of Semantic Space: An Exploratory Investigation of Context Effects in Practical Reasoning
23 pages, Invited chapter
In S. Artemov, H. Barringer, A. S. d'Avila Garcez, L. C. Lamb and J. Woods (eds) "We Will Show Them: Essays in Honour of Dov Gabbay", vol 1, pp. 339-361, College Publications, 2005
null
null
quant-ph
null
This article is an exploratory account of the the non-monotonic behaviour of conceptual associations in the light of context. Computational approximations of conceptual space are furnished by semantic space models which are emerging from the fields of cognition and computational linguistics. Semantic space models not only provide a cognitively motivated basis to underpin human practical reasoning, but from a mathematical perspective, they are real-valued Hilbert spaces. This introduces the highly speculative prospect of formalizing aspects of human practical reasoning via quantum mechanics. This account focuses on how to formalize context effects in relation to concepts as well as keeping an eye on operational issues.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 04:01:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Bruza", "P. D.", "" ], [ "Cole", "R. J.", "" ] ]
quant-ph/0612179
Metod Saniga
Metod Saniga (ASTRINSTSAV), Michel Planat (FEMTO-ST)
Multiple Qubits as Symplectic Polar Spaces of Order Two
2 pages, no figure
Advanced Studies in Theoretical Physics 1 (2007) 1 - 4
null
null
quant-ph math-ph math.MP
null
It is surmised that the algebra of the Pauli operators on the Hilbert space of N-qubits is embodied in the geometry of the symplectic polar space of rank N and order two, W_{2N - 1}(2). The operators (discarding the identity) answer to the points of W_{2N - 1}(2), their partitionings into maximally commuting subsets correspond to spreads of the space, a maximally commuting subset has its representative in a maximal totally isotropic subspace of W_{2N - 1}(2) and, finally, "commuting" translates into "collinear" (or "perpendicular").
[ { "version": "v1", "created": "Thu, 21 Dec 2006 09:56:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Saniga", "Metod", "", "ASTRINSTSAV" ], [ "Planat", "Michel", "", "FEMTO-ST" ] ]
quant-ph/0612180
Gavin K. Brennen
Gavin K. Brennen, Andrea Micheli, and Peter Zoller
Designing spin-1 lattice models using polar molecules
24 pages, 5 figures
New Journal of Physics 9, 138 (2007).
10.1088/1367-2630/9/5/138
null
quant-ph cond-mat.other
null
We describe how to design a large class of always on spin-1 interactions between polar molecules trapped in an optical lattice. The spin degrees of freedom correspond to the hyperfine levels of a ro-vibrational ground state molecule. Interactions are induced using a microwave field to mix ground states in one hyperfine manifold with the spin entangled dipole-dipole coupled excited states. Using multiple fields anistropic models in one, two, or three dimensions, can be built with tunable spatial range. An illustrative example in one dimension is the generalized Haldane model, which at a specific parameter has a gapped valence bond solid ground state. The interaction strengths are large compared to decoherence rates and should allow for probing the rich phase structure of strongly correlated systems, including dimerized and gapped phases.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 15:10:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Brennen", "Gavin K.", "" ], [ "Micheli", "Andrea", "" ], [ "Zoller", "Peter", "" ] ]
quant-ph/0612181
Song Wei
Wei Song, Tao Qin
Scheme for the implementation of optimal cloning of arbitrary single particle atomic state into two photonic states
4 pages, 2 figures
Commun.Theor.Phys. 49, 1515 (2008).
null
null
quant-ph
null
We present a feasible scheme to implement the $1 \to 2$ optimal cloning of arbitrary single particle atomic state into two photonic states, which is important for applications in long distance quantum communication. Our scheme also realizes the tele-NOT gate of one atom to the other distant atom trapped in another cavity. The scheme is based on the adiabatic passage and the polarization measurement. It is robust against a number of practical noises such as the violation of the Lamb-Dicke condition, spontaneous emission and detection inefficiency.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 13:42:40 GMT" }, { "version": "v2", "created": "Fri, 22 Dec 2006 10:15:58 GMT" } ]
2008-10-24T00:00:00
[ [ "Song", "Wei", "" ], [ "Qin", "Tao", "" ] ]
quant-ph/0612182
Agnes Sambale
Agnes Sambale, Stefan Yoshi Buhmann, Dirk-Gunnar Welsch, Marin-Slodoban Tomas
Local-field correction to one- and two-atom van der Waals interactions
9 pages, 2 figures, corrections according to erratum
Physical Review A 75 (4), 042109 (2007); Erratum: Physical Review A 76 (4), 029905(E) (2007)
10.1103/PhysRevA.75.042109
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Based on macroscopic quantum electrodynamics in linearly and causally responding media, we study the local-field corrected van der Waals potentials and forces for unpolarized ground-state atoms placed within a magnetoelectric medium of arbitrary size and shape. We start from general expressions for the van der Waals potentials in terms of the (classical) Green tensor of the electromagnetic field and the atomic polarizability and incorporate the local-field correction by means of the real-cavity model. In this context, special emphasis is given to the decomposition of the Green tensor into a medium part multiplied by a global local-field correction factor and, in the single-atom case, a part that only depends on the cavity characteristics. The result is used to derive general formulas for the local-field corrected van der Waals potentials and forces. As an application, we calculate the van der Waals potential between two ground-state atoms placed within magnetoelectric bulk material.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 13:53:49 GMT" }, { "version": "v2", "created": "Tue, 12 Jun 2007 12:59:34 GMT" }, { "version": "v3", "created": "Thu, 14 Aug 2008 08:15:07 GMT" } ]
2008-08-14T00:00:00
[ [ "Sambale", "Agnes", "" ], [ "Buhmann", "Stefan Yoshi", "" ], [ "Welsch", "Dirk-Gunnar", "" ], [ "Tomas", "Marin-Slodoban", "" ] ]
quant-ph/0612183
Peter Foldi
Orsolya Kalman, Peter Foldi, Mihaly G. Benedict, F. M. Peeters
Interference induced preparation of spinpolarized electrons in a three-terminal quantum ring
null
Physica E 40 (3), 567 (2008)
10.1016/j.physe.2007.08.014
null
quant-ph
null
We present an exact, analytic solution of the spin dependent quantum transport problem with spin-orbit interaction in a one-dimensional mesoscopic ring with one input and two output leads. We demonstrate that for appropriate parameters spatial interference in the ring leads to a behavior analogous to that of the Stern-Gerlach apparatus: different spin polarizations can be achieved in the two output channels from an originally totally unpolarized incoming spin state. It is shown that this requires an appropriate interference of states that carry oppositely directed currents. We find that spin polarization is possible for several geometries, including the case when the device is not symmetric with respect to the incoming lead. A clear connection is established between the Stern-Gerlach like property of the device and the relevant Aharonov-Casher phases in the loop geometry.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 16:34:30 GMT" } ]
2008-01-24T00:00:00
[ [ "Kalman", "Orsolya", "" ], [ "Foldi", "Peter", "" ], [ "Benedict", "Mihaly G.", "" ], [ "Peeters", "F. M.", "" ] ]
quant-ph/0612184
Dragomir Z. Djokovic
Oleg Chterental and Dragomir Z. Djokovic
Normal Forms and Tensor Ranks of Pure States of Four Qubits
40 pages, 8 tables, 4 figures. Table 4 and the treatment of examples in section 4 have been corrected. The paper will appear, as an invited chapter, in the forthcoming book "Linear Algebra Research Advances" by Nova Science Publishers, Inc. Comments are welcome
Linear Algebra Research Advances, G. D. Ling (Ed.), Chapter 4, pp. 133-167, Nova Science Publishers, New York, 2007
null
null
quant-ph
null
We examine the SLOCC classification of the (non-normalized) pure states of four qubits obtained by F. Verstraete et al. The rigorous proofs of their basic results are provided and necessary corrections implemented. We use Invariant Theory to solve the problem of equivalence of pure states under SLOCC transformations of determinant 1 and qubit permutations. As a byproduct, we produce a new set of generators for the invariants of the Weyl group of type F_4. We complete the determination of the tensor ranks of 4-qubit pure states initiated by J.-L. Brylinski. As a result we obtain a simple algorithm for computing these ranks. We obtain also a very simple classification of pure states of rank at most 3.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 17:21:11 GMT" }, { "version": "v2", "created": "Mon, 7 May 2007 04:11:58 GMT" } ]
2009-09-01T00:00:00
[ [ "Chterental", "Oleg", "" ], [ "Djokovic", "Dragomir Z.", "" ] ]
quant-ph/0612185
Julia Kempe
Julia Kempe
Approaches to Quantum Error Correction
29 pages, 5 figures, survey written for Poincare seminar lecture 19 Nov. 2005. Bookchapter in "Quantum Decoherence", Poincare seminar 2005, Progress in Mathematical Physics series, Birhaeuser, p. 85--123, 2006
null
null
null
quant-ph
null
The purpose of this little survey is to give a simple description of the main approaches to quantum error correction and quantum fault-tolerance. Our goal is to convey the necessary intuitions both for the problems and their solutions in this area. After characterising quantum errors we present several error-correction schemes and outline the elements of a full fledged fault-tolerant computation, which works error-free even though all of its components can be faulty. We also mention alternative approaches to error-correction, so called error-avoiding or decoherence-free schemes. Technical details and generalisations are kept to a minimum.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 17:26:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Kempe", "Julia", "" ] ]
quant-ph/0612186
Maarten Van den Nest
M. Van den Nest, K. Luttmer, W. D\"ur, H. J. Briegel
Graph states as ground states of many-body spin-1/2 Hamiltonians
10 pages, 1 figure
Phys. Rev. A 77, 012301 (2008)
10.1103/PhysRevA.77.012301
null
quant-ph
null
We consider the problem whether graph states can be ground states of local interaction Hamiltonians. For Hamiltonians acting on n qubits that involve at most two-body interactions, we show that no n-qubit graph state can be the exact, non-degenerate ground state. We determine for any graph state the minimal d such that it is the non-degenerate ground state of a d-body interaction Hamiltonian, while we show for d'-body Hamiltonians H with d'<d that the resulting ground state can only be close to the graph state at the cost of H having a small energy gap relative to the total energy. When allowing for ancilla particles, we show how to utilize a gadget construction introduced in the context of the k-local Hamiltonian problem, to obtain n-qubit graph states as non-degenerate (quasi-)ground states of a two-body Hamiltonian acting on n'>n spins.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 17:54:20 GMT" } ]
2008-03-18T00:00:00
[ [ "Nest", "M. Van den", "" ], [ "Luttmer", "K.", "" ], [ "Dür", "W.", "" ], [ "Briegel", "H. J.", "" ] ]
quant-ph/0612187
Wayne M. Itano
W. M. Itano
Perspectives on the quantum Zeno paradox
8 pages. Proceedings of the Sudarshan Symposium, Univ. of Texas, November 2006
null
null
null
quant-ph
null
As of October 2006, there were approximately 535 citations to the seminal 1977 paper of Misra and Sudarshan that pointed out the quantum Zeno paradox (more often called the quantum Zeno effect). In simple terms, the quantum Zeno effect refers to a slowing down of the evolution of a quantum state in the limit that the state is observed continuously. There has been much disagreement as to how the quantum Zeno effect should be defined and as to whether it is really a paradox, requiring new physics, or merely a consequence of "ordinary" quantum mechanics. The experiment of Itano, Heinzen, Bollinger, and Wineland, published in 1990, has been cited around 347 times and seems to be the one most often called a demonstration of the quantum Zeno effect. Given that there is disagreement as to what the quantum Zeno effect is, there naturally is disagreement as to whether that experiment demonstrated the quantum Zeno effect. Some differing perspectives regarding the quantum Zeno effect and what would constitute an experimental demonstration are discussed.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 18:04:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Itano", "W. M.", "" ] ]
quant-ph/0612188
Nergis Mavalvala
T. Corbitt, Y. Chen, H. Mueller-Ebhardt, E. Innerhofer, D. Ottaway, H. Rehbein, D. Sigg, S. Whitcomb, C. Wipf and N. Mavalvala
An all-optical trap for a gram-scale mirror
Major revision. Replacement is version that appears in Phy. Rev. Lett. 98, 150802 (2007)
Physical Review Letters 98, 150802 (2007)
10.1103/PhysRevLett.98.150802
null
quant-ph
null
We report on a stable optical trap suitable for a macroscopic mirror, wherein the dynamics of the mirror are fully dominated by radiation pressure. The technique employs two frequency-offset laser fields to simultaneously create a stiff optical restoring force and a viscous optical damping force. We show how these forces may be used to optically trap a free mass without introducing thermal noise; and we demonstrate the technique experimentally with a 1 gram mirror. The observed optical spring has an inferred Young's modulus of 1.2 TPa, 20% stiffer than diamond. The trap is intrinsically cold and reaches an effective temperature of 0.8 K, limited by technical noise in our apparatus.
[ { "version": "v1", "created": "Thu, 21 Dec 2006 20:04:39 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 13:29:10 GMT" } ]
2013-05-29T00:00:00
[ [ "Corbitt", "T.", "" ], [ "Chen", "Y.", "" ], [ "Mueller-Ebhardt", "H.", "" ], [ "Innerhofer", "E.", "" ], [ "Ottaway", "D.", "" ], [ "Rehbein", "H.", "" ], [ "Sigg", "D.", "" ], [ "Whitcomb", "S.", "" ], [ "Wipf", "C.", "" ], [ "Mavalvala", "N.", "" ] ]
quant-ph/0612189
Mattias Johnsson
Mattias Johnsson, Simon Haine, Joseph Hope, Nick Robins, Cristina Figl, Matthew Jeppesen, Julien Dugu\'e, John Close
Semiclassical limits to the linewidth of an atom laser
9 Figures
null
10.1103/PhysRevA.75.043618
null
quant-ph cond-mat.other
null
We investigate the linewidth of a quasi-continuous atom laser within a semiclassical framework. In the high flux regime, the lasing mode can exhibit a number of undesirable features such as density fluctuations. We show that the output therefore has a complicated structure that can be somewhat simplified using Raman outcoupling methods and energy-momentum selection rules. In the weak outcoupling limit, we find that the linewidth of an atom laser is instantaneously Fourier limited, but, due to the energy `chirp' associated with the draining of a condensate, the long-term linewidth of an atom laser is equivalent to the chemical potential of the condensate source. We show that correctly sweeping the outcoupling frequency can recover the Fourier-limited linewidth.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 01:45:04 GMT" } ]
2016-08-16T00:00:00
[ [ "Johnsson", "Mattias", "" ], [ "Haine", "Simon", "" ], [ "Hope", "Joseph", "" ], [ "Robins", "Nick", "" ], [ "Figl", "Cristina", "" ], [ "Jeppesen", "Matthew", "" ], [ "Dugué", "Julien", "" ], [ "Close", "John", "" ] ]
quant-ph/0612190
Robert W. Spekkens
Robert W. Spekkens and H. M. Wiseman
Pooling quantum states obtained by indirect measurements
Corrected a mistake regarding the scope of our original result. This version to be published in Phys. Rev. A. 6 pages, 1 figure
Phys. Rev. A 75, 042104 (2007)
10.1103/PhysRevA.75.042104
null
quant-ph
null
We consider the pooling of quantum states when Alice and Bob both have one part of a tripartite system and, on the basis of measurements on their respective parts, each infers a quantum state for the third part S. We denote the conditioned states which Alice and Bob assign to S by alpha and beta respectively, while the unconditioned state of S is rho. The state assigned by an overseer, who has all the data available to Alice and Bob, is omega. The pooler is told only alpha, beta, and rho. We show that for certain classes of tripartite states, this information is enough for her to reconstruct omega by the formula omega \propto alpha rho^{-1} beta. Specifically, we identify two classes of states for which this pooling formula works: (i) all pure states for which the rank of rho is equal to the product of the ranks of the states of Alice's and Bob's subsystems; (ii) all mixtures of tripartite product states that are mutually orthogonal on S.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 12:25:47 GMT" }, { "version": "v2", "created": "Sat, 24 Feb 2007 20:57:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Spekkens", "Robert W.", "" ], [ "Wiseman", "H. M.", "" ] ]
quant-ph/0612191
Mattias Johnsson
Mattias T. Johnsson and Joseph J. Hope
Multimode quantum limits to the linewidth of an atom laser
8 Figures
null
10.1103/PhysRevA.75.043619
null
quant-ph cond-mat.other
null
The linewidth of an atom laser can be limited by excitation of higher energy modes in the source Bose-Einstein condensate, energy shifts in that condensate due to the atomic interactions, or phase diffusion of the lasing mode due to those interactions. The first two are effects that can be described with a semiclassical model, and have been studied in detail for both pumped and unpumped atom lasers. The third is a purely quantum statistical effect, and has been studied only in zero dimensional models. We examine an unpumped atom laser in one dimension using a quantum field theory using stochastic methods based on the truncated Wigner approach. This allows spatial and statistical effects to be examined simultaneously, and the linewidth limit for unpumped atom lasers is quantified in various limits.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 03:21:43 GMT" } ]
2013-05-29T00:00:00
[ [ "Johnsson", "Mattias T.", "" ], [ "Hope", "Joseph J.", "" ] ]
quant-ph/0612192
Bruno Bellomo
B. Bellomo, G. Compagno, F. Petruccione
Loss of coherence and dressing in QED
16 pages, 4 figures
Phys. Rev. A 74, 052112 (2006)
10.1103/PhysRevA.74.052112
null
quant-ph
null
The dynamics of a free charged particle, initially described by a coherent wave packet, interacting with an environment, i.e. the electromagnetic field characterized by a temperature $T$, is studied. Using the dipole approximation the exact expressions for the evolution of the reduced density matrix both in momentum and configuration space and the vacuum and the thermal contribution to decoherence, are obtained. The time behaviour of the coherence lengths in the two representations are given. Through the analysis of the dynamic of the field structure associated to the particle the vacuum contribution is shown to be linked to the birth of correlations between the single momentum components of the particle wave packet and the virtual photons of the dressing cloud.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 10:46:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Bellomo", "B.", "" ], [ "Compagno", "G.", "" ], [ "Petruccione", "F.", "" ] ]
quant-ph/0612193
Pradyumna Kumar Pathak
G S Agarwal and P K Pathak
Realization of quantum mechanical weak values of observables using entangled photons
null
Phys. Rev. A 75, 032108 (2007)
10.1103/PhysRevA.75.032108
null
quant-ph
null
We present a scheme for realization of quantum mechanical weak values of observables using entangled photons produced in parametric down conversion. We consider the case when the signal and idler modes are respectively in a coherent state and vacuum. We use a low efficiency detector to detect the photons in the idler mode.This weak detection leads to a large displacement and fluctuations in the signal field's quantum state which can be studied by monitoring the photon number and quadrature distributions.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 12:07:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Agarwal", "G S", "" ], [ "Pathak", "P K", "" ] ]
quant-ph/0612194
Martin Plenio
M.E. Reuter, M.J. Hartmann and M.B. Plenio
Geometric Phases and Critical Phenomena in a Chain of Interacting Spins
7 Figures
Proc. Roy. Soc. Lond. A 463, 1271 (2007)
10.1098/rspa.2007.1822
null
quant-ph
null
The geometric phase can act as a signature for critical regions of interacting spin chains in the limit where the corresponding circuit in parameter space is shrunk to a point and the number of spins is extended to infinity; for finite circuit radii or finite spin chain lengths, the geometric phase is always trivial (a multiple of 2pi). In this work, by contrast, two related signatures of criticality are proposed which obey finite-size scaling and which circumvent the need for assuming any unphysical limits. They are based on the notion of the Bargmann invariant whose phase may be regarded as a discretized version of Berry's phase. As circuits are considered which are composed of a discrete, finite set of vertices in parameter space, they are able to pass directly through a critical point, rather than having to circumnavigate it. The proposed mechanism is shown to provide a diagnostic tool for criticality in the case of a given non-solvable one-dimensional spin chain with nearest-neighbour interactions in the presence of an external magnetic field.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 18:46:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Reuter", "M. E.", "" ], [ "Hartmann", "M. J.", "" ], [ "Plenio", "M. B.", "" ] ]
quant-ph/0612195
Sergei Shevchenko N.
V. V. Shamshutdinova, A. S. Kiyko, S. N. Shevchenko, B. F. Samsonov, A. N. Omelyanchouk
Dynamics of Josephson-junction qubits with exactly solvable time-dependent bias pulses
11 pages, 9 figures Author's translation from Russian to English
Russ. Phys. J. 51 (2008) 578-586
null
null
quant-ph cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The quantum dynamics of a two-state system (qubit) can be governed by means of external control parameters present in time-dependent bias pulses of special forms. We consider the class of biases for which the time evolution equation without a dissipation can be solved exactly. Concentrating for definiteness on the flux qubit we calculate the probability of the definite direction of the current in the loop and its time-averaged values as functions of the qubit's control parameters both analytically and solving numerically the equation of motion for the density matrix in the presence of relaxation and decoherence. It is shown that there exist such time-dependent biases that the definite current direction probability with no dissipation taken into account becomes a monotonously growing function of time tending to a value which may exceed 1/2. We also calculate the probability to find the system in the excited state and show the possibility of the inverse population in a properly driven two-state system provided the relaxation and dephasing rates are small enough.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 15:19:19 GMT" }, { "version": "v2", "created": "Tue, 26 Dec 2006 13:34:42 GMT" }, { "version": "v3", "created": "Mon, 23 Feb 2009 18:12:19 GMT" } ]
2009-02-23T00:00:00
[ [ "Shamshutdinova", "V. V.", "" ], [ "Kiyko", "A. S.", "" ], [ "Shevchenko", "S. N.", "" ], [ "Samsonov", "B. F.", "" ], [ "Omelyanchouk", "A. N.", "" ] ]
quant-ph/0612196
Kishore Kapale
Kishore T Kapale and Jonathan P Dowling
A Bootstrapping Approach for Generating Maximally Path-Entangled Photon States
null
Phys. Rev. Lett. vol. 99, art. no. 053602 (2007)
10.1103/PhysRevLett.99.053602
null
quant-ph
null
We propose a bootstrapping approach to generation of maximally path-entangled states of photons, so called ``NOON states''. Strong atom-light interaction of cavity QED can be employed to generate NOON states with about 100 photons; which can then be used to boost the existing experimental Kerr nonlinearities based on quantum coherence effects to facilitate NOON generation with arbitrarily large number of photons all within the current experimental state of the art technology. We also offer an alternative scheme that uses an atom-cavity dispersive interaction to obtain sufficiently high Kerr-nonlinearity necessary for arbitrary NOON generation.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 20:58:59 GMT" }, { "version": "v2", "created": "Tue, 18 Mar 2008 18:47:22 GMT" } ]
2008-03-18T00:00:00
[ [ "Kapale", "Kishore T", "" ], [ "Dowling", "Jonathan P", "" ] ]
quant-ph/0612197
Ulrik L. Andersen
Metin Sabuncu, Ulrik L. Andersen, Gerd Leuchs
Experimental Demonstration of Continuous Variable Cloning with Phase-Conjugate Inputs
5 pages
null
10.1103/PhysRevLett.98.170503
null
quant-ph
null
We report the experimental demonstration of continuous variable cloning of phase conjugate coherent states as proposed by Cerf and Iblisdir (Phys. Rev. Lett. 87, 247903 (2001)). In contrast to the proposal of Cerf and Iblisdir, the cloning transformation is accomplished using only linear optical components, homodyne detection and feedforward. Three clones are succesfully produced with fidelities about 89%.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 16:29:20 GMT" } ]
2015-06-26T00:00:00
[ [ "Sabuncu", "Metin", "" ], [ "Andersen", "Ulrik L.", "" ], [ "Leuchs", "Gerd", "" ] ]
quant-ph/0612198
Matteo G. A. Paris
Maria Bondani, Alessia Allevi, Guido Zambra, Matteo G. A. Paris, Alessandra Andreoni
Sub-shot-noise photon-number correlation in mesoscopic twin-beam of light
5 pages, 5 (low-res) figures, to appear on PRA
Phys. Rev. A 76, 013833 (2007)
10.1103/PhysRevA.76.013833
null
quant-ph
null
We demonstrate sub-shot-noise photon-number correlations in a (temporal) multimode mesoscopic ($\sim 10^3$ detected photons) twin-beam produced by ps-pulsed spontaneous non-degenerate parametric downconversion. We have separately detected the signal and idler distributions of photons collected in twin coherence areas and found that the variance of the photon-count difference goes below the shot-noise limit by 3.25 dB. The number of temporal modes contained in the twin-beam, as well as the size of the twin coherence areas, depends on the pump intensity. Our scheme is based on spontaneous downconversion and thus does not suffer from limitations due to the finite gain of the parametric process. Twin-beams are also used to demonstrate the conditional preparation of a nonclassical (sub-Poissonian) state.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 17:17:19 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 15:21:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Bondani", "Maria", "" ], [ "Allevi", "Alessia", "" ], [ "Zambra", "Guido", "" ], [ "Paris", "Matteo G. A.", "" ], [ "Andreoni", "Alessandra", "" ] ]
quant-ph/0612199
J\"urgen Koslowski
Pablo Arrighi, Gilles Dowek
Lineal: A linear-algebraic Lambda-calculus
The complementary note "On the critical pairs of a rewrite system for vector spaces" is provided in the source files. Short version : "Linear-algebraic Lambda-calculus : higher-order and confluence", Proceedings of RTA 08, Hagenberg, July 2008. LNCS 5117, 17, (2008). Long version : LMCS
Logical Methods in Computer Science, Volume 13, Issue 1 (March 17, 2017) lmcs:3203
10.23638/LMCS-13(1:8)2017
null
quant-ph cs.LO cs.PL
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a computational definition of the notions of vector space and bilinear functions. We use this result to introduce a minimal language combining higher-order computation and linear algebra. This language extends the Lambda-calculus with the possibility to make arbitrary linear combinations of terms alpha.t + beta.u. We describe how to "execute" this language in terms of a few rewrite rules, and justify them through the two fundamental requirements that the language be a language of linear operators, and that it be higher-order. We mention the perspectives of this work in the field of quantum computation, whose circuits we show can be easily encoded in the calculus. Finally, we prove the confluence of the entire calculus.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 17:25:56 GMT" }, { "version": "v2", "created": "Mon, 10 Mar 2008 18:14:56 GMT" }, { "version": "v3", "created": "Wed, 10 Jun 2015 15:19:44 GMT" }, { "version": "v4", "created": "Mon, 13 Mar 2017 09:42:01 GMT" }, { "version": "v5", "created": "Thu, 16 Mar 2017 08:32:19 GMT" }, { "version": "v6", "created": "Tue, 21 Mar 2017 16:23:59 GMT" } ]
2019-03-14T00:00:00
[ [ "Arrighi", "Pablo", "" ], [ "Dowek", "Gilles", "" ] ]
quant-ph/0612200
Toby Jackson
A. K. Mohapatra, T. R. Jackson, C. S. Adams
Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency
Comments removed
null
10.1103/PhysRevLett.98.113003
null
quant-ph
null
We observe electromagnetically induced transparency (EIT) on the 5s to 5p transition in a room temperature rubidium vapour cell by coupling the 5p state to a Rydberg state (ns or nd with n=26 to 124). We demonstrate that the narrow line-width of the EIT resonance (2 MHz) allows precise measurement of the d state fine structure splitting, and together with the sensitivity of the Rydberg state to electric fields, we are able to detect transient electric fields produced by the dynamics of charges within the cell. Coherent coupling of Rydberg states via EIT could also be used for cross-phase modulation and photon entanglement.
[ { "version": "v1", "created": "Fri, 22 Dec 2006 17:40:50 GMT" }, { "version": "v2", "created": "Wed, 10 Jan 2007 11:05:46 GMT" } ]
2015-06-26T00:00:00
[ [ "Mohapatra", "A. K.", "" ], [ "Jackson", "T. R.", "" ], [ "Adams", "C. S.", "" ] ]
quant-ph/0612201
Daniel A. Lidar
Shubhrangshu Dasgupta and Daniel A. Lidar (USC)
Decoherence-induced geometric phase in a multilevel atomic system
9 pages, 12 figures
J. Phys. B 40, S127 (2007) (special issue on "Dynamical Control of Entanglement and Decoherence by Field-Matter Interactions")
10.1088/0953-4075/40/9/S07
null
quant-ph
null
We consider the STIRAP process in a three-level atom. Viewed as a closed system, no geometric phase is acquired. But in the presence of spontaneous emission and/or collisional relaxation we show numerically that a non-vanishing, purely real, geometric phase is acquired during STIRAP, whose magnitude grows with the decay rates. Rather than viewing this decoherence-induced geometric phase as a nuisance, it can be considered an example of "beneficial decoherence": the environment provides a mechanism for the generation of geometric phases which would otherwise require an extra experimental control knob.
[ { "version": "v1", "created": "Sun, 24 Dec 2006 00:10:55 GMT" } ]
2015-06-26T00:00:00
[ [ "Dasgupta", "Shubhrangshu", "", "USC" ], [ "Lidar", "Daniel A.", "", "USC" ] ]
quant-ph/0612202
Vladimir Strokov N.
V. Strokov
On convergence to equilibrium in strongly coupled Bogoliubov's oscillator model
17 pages, no figures; proof of eq.(18) added, minor changes in Conclusion
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007, Vol. 10, No. 4, pp. 573-589
null
null
quant-ph math-ph math.MP
null
We examine classical Bogoliubov's model of a particle coupled to a heat bath which consists of infinitely many stochastic oscillators. Bogoliubov's result suggests that, in the stochastic limit, the model exhibits convergence to thermodynamical equilibrium. It has recently been shown that the system does attain the equilibrium if the coupling constant is small enough. We show that in the case of the large coupling constant the distribution function $\rho_{S}(q,p,t)\to 0$ pointwise as $t\to\infty$. This implies that if there is convergence to equilibrium, then the limit measure has no finite momenta. Besides, the probability to find the particle in any finite domain of phase space tends to zero. This is also true for domains in the coordinate space and in the momentum space.
[ { "version": "v1", "created": "Sat, 23 Dec 2006 20:53:54 GMT" }, { "version": "v2", "created": "Tue, 25 Dec 2007 17:09:12 GMT" } ]
2007-12-25T00:00:00
[ [ "Strokov", "V.", "" ] ]
quant-ph/0612203
Guowen Wang
Wang Guowen
Superseded version of the WKB approximation and explanation of emergence of classicality
LaTex2e, 7 pages, 1 figure
null
null
null
quant-ph
null
Regarding the limit hbar-->0 as the classical limit of quantum mechanics seems to be silly because hbar is a definite constant of physics, but it was successfully used in the derivation of the WKB approximation. A superseded version of the WKB approximation is proposed in the classical limit alpha-->0 where alpha=m/M is the screening parameter of an object in which m is the mass of the effective screening layer and M the total mass. This version is applicable to not only approximate solution of Schrodinger equation of a quantum particle but also that of a nanoparticle. Moreover, the version shows that the quantization rules for nanoparticles can be achieved by substituting alpha times hbar for hbar in the Bohr-Sommerfeld quantization rules of the old quantum theory. Most importantly, the version helps clarify the essential difference between classical and quantum realities and understand the transition from quantum to classical mechanics as well as quantum mechanics itself.
[ { "version": "v1", "created": "Mon, 25 Dec 2006 01:56:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Guowen", "Wang", "" ] ]
quant-ph/0612204
Toyohiro Tsurumaru
Toyohiro Tsurumaru
Sequential Attack with Intensity Modulation on the Differential-Phase-Shift Quantum Key Distribution Protocol
6 pages, 2 figures
Phys. Rev. A 75, 062319 (2007)
10.1103/PhysRevA.75.062319
null
quant-ph
null
In this paper, we discuss the security of the differential-phase-shift quantum key distribution (DPSQKD) protocol by introducing an improved version of the so-called sequential attack, which was originally discussed by Waks et al. Our attack differs from the original form of the sequential attack in that the attacker Eve modulates not only the phases but also the amplitude in the superposition of the single-photon states which she sends to the receiver. Concentrating especially on the "discretized gaussian" intensity modulation, we show that our attack is more effective than the individual attack, which had been the best attack up to present. As a result of this, the recent experiment with communication distance of 100km reported by Diamanti et al. turns out to be insecure. Moreover it can be shown that in a practical experimental setup which is commonly used today, the communication distance achievable by the DPSQKD protocol is less than 95km.
[ { "version": "v1", "created": "Mon, 25 Dec 2006 09:26:41 GMT" } ]
2007-06-25T00:00:00
[ [ "Tsurumaru", "Toyohiro", "" ] ]
quant-ph/0612205
Yi-Xin Chen
Lin Chen and Yi-Xin Chen
Mixed Qubit Cannot Be Universally Broadcast
5 pages, Revtex
null
10.1103/PhysRevA.75.062322
null
quant-ph
null
We show that there does not exist any universal quantum cloning machine that can broadcast an arbitrary mixed qubit with a constant fidelity. Based on this result, we investigate the dependent quantum cloner in the sense that some parameter of the input qubit $\rho_s(\theta,\omega,\lambda)$ is regarded as constant in the fidelity. For the case of constant $\omega$, we establish the $1\to2$ optimal symmetric dependent cloner with a fidelity 1/2. It is also shown that the $1\to M$ optimal quantum cloning machine for pure qubits is also optimal for mixed qubits, when $\lambda$ is the unique parameter in the fidelity. For general $N\to M$ broadcasting of mixed qubits, the situation is very different.
[ { "version": "v1", "created": "Mon, 25 Dec 2006 07:24:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Lin", "" ], [ "Chen", "Yi-Xin", "" ] ]
quant-ph/0612206
Zhang Zhanjun Dr.
Jun Liu and Zhan-jun Zhang
Revisiting controlled quantum secure direct communication using a non-symmetric quantum channel with quantum superdense coding
5 pages
null
null
null
quant-ph
null
Recently Xia and Song [Phys. Lett. A (In press)] have proposed a controlled quantum secure direct communication (CQSDC) protocol. They claimed that in their protocol only with the help of the controller Charlie, the receiver Alice can successfully extract the secret message from the sender Bob. In this letter, first we will show that within their protocol the controller Charlie's role can be excluded due to their unreasonable design. We then revise the Xia-Song CQSDC protocol such that its original advantages are retained and the CQSDC can be really realized.
[ { "version": "v1", "created": "Mon, 25 Dec 2006 13:14:07 GMT" }, { "version": "v2", "created": "Tue, 2 Jan 2007 09:48:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Liu", "Jun", "" ], [ "Zhang", "Zhan-jun", "" ] ]
quant-ph/0612207
Vahid Karimipour
M. Asoudeh, V. Karimipour and A. Sadrolashrafi
Quantum Phase Transitions and Matrix Product States in Spin Ladders
20 pages, 6 figures, essential changes (i.e derivation of the Hamiltonian), Revtex
Phys. Rev. B 75, 224427 (2007)
10.1103/PhysRevB.75.224427
null
quant-ph cond-mat.str-el
null
We investigate quantum phase transitions in ladders of spin 1/2 particles by engineering suitable matrix product states for these ladders. We take into account both discrete and continuous symmetries and provide general classes of such models. We also study the behavior of entanglement of different neighboring sites near the transition point and show that quantum phase transitions in these systems are accompanied by divergences in derivatives of entanglement.
[ { "version": "v1", "created": "Mon, 25 Dec 2006 14:10:07 GMT" }, { "version": "v2", "created": "Thu, 8 Mar 2007 19:49:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Asoudeh", "M.", "" ], [ "Karimipour", "V.", "" ], [ "Sadrolashrafi", "A.", "" ] ]
quant-ph/0612208
Mahn-Soo Choi
Taeseung Choi, Mahn-Soo Choi
Quantum Key Distribution Using Quantum Faraday Rotators
7 pages, 7 EPS figures
J. Phys.: Condens. Matt. 20, 275242 (2008)
10.1088/0953-8984/20/27/275242
null
quant-ph
null
We propose a new quantum key distribution (QKD) protocol based on the fully quantum mechanical states of the Faraday rotators. The protocol is unconditionally secure against collective attacks for multi-photon source up to two photons on a noisy environment. It is also robust against impersonation attacks. The protocol may be implemented experimentally with the current spintronics technology on semiconductors.
[ { "version": "v1", "created": "Tue, 26 Dec 2006 00:29:35 GMT" }, { "version": "v2", "created": "Sun, 26 Aug 2007 03:37:27 GMT" } ]
2008-09-24T00:00:00
[ [ "Choi", "Taeseung", "" ], [ "Choi", "Mahn-Soo", "" ] ]
quant-ph/0612209
Marc Holman
M. Holman
On Arguments for Linear Quantum Dynamics
14 pages, no figures
null
null
null
quant-ph gr-qc
null
Two recent arguments for linear dynamics in quantum theory are critically re-examined. Neither argument is found to be satisfactory as it stands, although an improved version of one of the arguments can in fact be given. This improved version turns out to be still not completely unproblematic, but it is argued that it contains only a single actual loophole, which is identical to a loophole that remains in experimental proofs of nonlocality of Bell-type. It is concluded that - within the context of the standard quantum kinematical framework and in agreement with what has been concluded by earlier authors - a nonlinear dynamics of density operators is inconsistent with relativistic causality. However, it is also stressed that this conclusion in itself has little implication for the nature of dynamics at the Hilbert space level - in particular, it does not force dynamics to be linear at this level - nor does it continue to be valid in contexts that go beyond the standard quantum kinematical framework. Despite their seeming triviality, these last two points have not always been appreciated in the literature. Finally, it is also pointed out that the argument for complete positivity, as given in conjunction with one of the two recent arguments for linear dynamics, in fact only establishes a condition that is weaker than complete positivity.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 20:53:44 GMT" } ]
2011-11-18T00:00:00
[ [ "Holman", "M.", "" ] ]
quant-ph/0612210
Umesh Vijayashanker
A. R. Usha Devi (1), R. Prabhu (1), (Department of Physics, Bangalore University.), A. K. Rajagopal (2) (Department of Computer Science and Center for Quantum Studies, George Mason University and Inspire Institute Inc.)
Collective multipole-like signatures of entanglement in symmetric N-qubit systems
REVTEX, 4 pages with 1 figure; To appear in Phys. Rev. A
Phys. Rev. A 76, 012322 (2007)
10.1103/PhysRevA.76.012322
null
quant-ph
null
A cogent theory of collective multipole-like quantum correlations in symmetric multiqubit states is presented by employing SO(3) irreducible spherical tensor representation. An arbitrary bipartite division of this system leads to a family of inequalities to detect entanglement involving averages of these tensors expressed in terms of the total system angular momentum operator. Implications of this theory to the quantum nature of multipole-like correlations of all orders in the Dicke states are deduced. A selected set of examples illustrate these collective tests. Such tests detect entanglement in macroscopic atomic ensembles, where individual atoms are not accessible.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 17:05:25 GMT" }, { "version": "v2", "created": "Mon, 12 Mar 2007 01:15:27 GMT" }, { "version": "v3", "created": "Fri, 22 Jun 2007 17:47:28 GMT" } ]
2011-11-09T00:00:00
[ [ "Devi", "A. R. Usha", "" ], [ "Prabhu", "R.", "" ], [ "Rajagopal", "A. K.", "" ] ]
quant-ph/0612211
Christian de Ronde
Graciela Domenech and Hector Freytes
Fuzzy Propositional Logic Associated with Quantum Computational Gates
41 pages, no figures
I. J. Th. Phys. 45 (2006) 228-261
10.1007/s10773-005-9019-6
null
quant-ph
null
We apply residuated structures associated with fuzzy logic to develop certain aspects of information processing in quantum computing from a logical perspective. For this purpose, we introduce an axiomatic system whose natural interpretation is the irreversible quantum Poincare structure.
[ { "version": "v1", "created": "Tue, 26 Dec 2006 20:56:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Domenech", "Graciela", "" ], [ "Freytes", "Hector", "" ] ]
quant-ph/0612212
Emilio Santos Corchero
Emilio Santos
Bell inequalities for two-photon experiments testable at low detection efficiency without assuming fair sampling
20 pages, no figures
null
null
null
quant-ph
null
A family of local models containing two angles as hidden variables is defined for experiments measuring polarization correlation of optical photons. Searching for the best model of the family, that is giving predictions most close to quantum mechanics, allows deriving Bell-type inequalities which may be tested with relatively low detection efficiency.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 15:32:03 GMT" } ]
2021-06-16T00:00:00
[ [ "Santos", "Emilio", "" ] ]
quant-ph/0612213
Salomon S. Mizrahi
E.I. Duzzioni, L. Sanz, S.S. Mizrahi and M.H.Y. Moussa
Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates
1 tex file and 11 figures in pdf format
null
10.1103/PhysRevA.75.032113
null
quant-ph
null
We describe the behavior of two coupled Bose-Einstein condensates in time-dependent (TD) trap potentials and TD Rabi (or tunneling) frequency, using the two-mode approach. Starting from Bloch states, we succeed to get analytical solutions for the TD Schroedinger equation and present a detailed analysis of the relative and geometric phases acquired by the wave function of the condensates, as well as their population imbalance. We also establish a connection between the geometric phases and constants of motion which characterize the dynamic of the system. Besides analyzing the affects of temporality on condensates that differs by hyperfine degrees of freedom (internal Josephson effect), we also do present a brief discussion of a one specie condensate in a double-well potential (external Josephson effect).
[ { "version": "v1", "created": "Tue, 26 Dec 2006 21:42:12 GMT" } ]
2015-06-26T00:00:00
[ [ "Duzzioni", "E. I.", "" ], [ "Sanz", "L.", "" ], [ "Mizrahi", "S. S.", "" ], [ "Moussa", "M. H. Y.", "" ] ]
quant-ph/0612214
Lin Xia
Lin Xia, Xu Xu, Fan Yang, Wei Xiong, Juntao Li, Qianli Ma, Xiaoji Zhou, Hong Guo and Xuzong Chen
Manipulation of the quantum state by Majorana transition in spinor Bose-Einstein condensates
5 pages, 5 figures
Phys. Rev. A 77, 043622 (2008)
10.1103/PhysRevA.77.043622
null
quant-ph cond-mat.other
null
Manipulation of the quantum state by the Majorana transition in spinor BEC system has been realized by altering the rotation frequency of the magnetic field's direction. This kind of manipulation method has no limitation on the transition speed in principle and the system is well closed, which provides a new and superior tool to manipulate quantum states. Using this methord on pulsed atom laser, multicomponent spinor atom laser is generated. We demonstrate that the experiment results are agreed with the theoretical predication.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 07:35:06 GMT" }, { "version": "v2", "created": "Wed, 11 Apr 2007 01:54:11 GMT" } ]
2015-06-26T00:00:00
[ [ "Xia", "Lin", "" ], [ "Xu", "Xu", "" ], [ "Yang", "Fan", "" ], [ "Xiong", "Wei", "" ], [ "Li", "Juntao", "" ], [ "Ma", "Qianli", "" ], [ "Zhou", "Xiaoji", "" ], [ "Guo", "Hong", "" ], [ "Chen", "Xuzong", "" ] ]
quant-ph/0612215
Gian Paolo Beretta
Gian Paolo Beretta
Positive Nonlinear Dynamical Group Uniting Quantum Mechanics and Thermodynamics
Latex 15 pages, submitted for the Proceedings of the Conference 'Particles and Fields: Classical and Quantum' held in honor of professor George Sudarshan in Jaca, Spain, September 18-21, 2006
null
null
null
quant-ph
null
We discuss and motivate the form of the generator of a nonlinear quantum dynamical group 'designed' so as to accomplish a unification of quantum mechanics (QM) and thermodynamics. We call this nonrelativistic theory Quantum Thermodynamics (QT). Its conceptual foundations differ from those of (von Neumann) quantum statistical mechanics (QSM) and (Jaynes) quantum information theory (QIT), but for thermodynamic equilibrium (TE) states it reduces to the same mathematics, and for zero entropy states it reduces to standard unitary QM. The nonlinear dynamical group of QT is construed so that the second law emerges as a theorem of existence and uniqueness of a stable equilibrium state for each set of mean values of the energy and the number of constituents. It implements two fundamental ansatzs. The first is that in addition to the standard QM states described by idempotent density operators (zero entropy), a strictly isolated system admits also states that must be described by non-idempotent density operators (nonzero entropy). The second is that for such additional states the law of causal evolution is determined by the simultaneous action of a Schroedinger-von Neumann-type Hamiltonian generator and a nonlinear dissipative generator which conserves the mean values of the energy and the number of constituents, and (in forward time) drives any density operator, no matter how far from TE, in the 'direction' of steepest entropy ascent (maximal entropy increase). The equation of motion can be solved not only in forward time, to describe relaxation towards TE, but also backwards in time, to reconstruct the 'ancestral' or primordial lowest entropy state or limit cycle from which the system originates.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 13:46:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Beretta", "Gian Paolo", "" ] ]
quant-ph/0612216
N. David Mermin
N. David Mermin
In praise of measurement
Based on talk given at the QUPON/QIPC 2005 conference in Vienna, May, 2005. 24 pages, 21 figures
Quantum Information Processing, Vol. 5, No. 4, 239-260, August, 2006
null
null
quant-ph
null
The role of measurement in quantum computation is examined in the light of John Bell's critique of the how the term ``measurement'' is used in quantum mechanics. I argue that within the field of quantum computer science the concept of measurement is precisely defined, unproblematic, amd forms the foundation of the entire subject.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 21:23:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Mermin", "N. David", "" ] ]
quant-ph/0612217
Alexander Jurisch
Alexander Jurisch
Quantum Mechanics from the Hamilton-Jacobi Point of View
19 pages, 7 figures
null
null
null
quant-ph
null
In this article, we develop quantum mechanics upon the framework of the quantum mechanical Hamilton-Jacobi theory. We will show, that the Schroedinger point of view and the Hamilton-Jacobi point of view are fully equivalent in their description of physical systems, but differ in their descriptive manner. As a main result, a wave function in Hamilton-Jacobi theory can be decomposed into travelling waves in any point in space, not only asymptotically. The well known WKB-theory will be a special result of the more general theory, we will develop below. By the example of the linear potential and the harmonic oscillator, we will discuss quantum mechanics from the Hamilton-Jacobi point of view. Soft boundary value problems as the connection problem can be solved exactely. Quantizised energies and Maslov-indices can be calculated directely without orthonormalizing wave-functions. Also, we will focus on trajectory themes, which, in contrast to the Schroedinger point of view, follow naturally from the quantum mechanical action function.
[ { "version": "v1", "created": "Wed, 27 Dec 2006 21:31:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Jurisch", "Alexander", "" ] ]
quant-ph/0612218
Mario Ziman
Mario Ziman and Vladimir Buzek
Universality and optimality of programmable quantum processors
9 pages
Acta Phys.Hung. B 26, 277-291 (2006)
10.1556/APH.26.2006.3-4.8
null
quant-ph
null
We analyze and compare the optimality of approximate and probabilistic universal programmable quantum processors. We define several characteristics how to quantify the optimality and we study in detail performance of three types of programmable quantum processors based on (1) the C-NOT gate, (2) the SWAP operation, and (3) the model of the quantum information distributor - the QID processor. We show under which conditions the measurement assisted QID processor is optimal. We also investigate optimality of the so-called U-processors and we also compare the optimal approximative implementation of U(1) qubit rotations with the known probabilistic implementation as introduced by Vidal, Masanes and Cirac [ {\em Phys. Rev. Lett.} {\bf 88}, 047905 (2002)].
[ { "version": "v1", "created": "Thu, 28 Dec 2006 14:33:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Ziman", "Mario", "" ], [ "Buzek", "Vladimir", "" ] ]
quant-ph/0612219
David Daems
E. Karpov, D. Daems and N. J. Cerf
Entanglement may enhance the channel capacity in arbitrary dimensions
12 pages, 3 figures
Open Sys. & Information Dyn. 13, 363 (2006)
10.1007/s11080-006-9018-y
null
quant-ph
null
We consider explicitly two examples of d-dimensional quantum channels with correlated noise and show that, in agreement with previous results on Pauli qubit channels, there are situations where maximally entangled input states achieve higher values of the output mutual information than product states. We obtain a strong dependence of this effect on the nature of the noise correlations as well as on the parity of the space dimension, and conjecture that when entanglement gives an advantage in terms of mutual information, maximally entangled states achieve the channel capacity.
[ { "version": "v1", "created": "Thu, 28 Dec 2006 16:31:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Karpov", "E.", "" ], [ "Daems", "D.", "" ], [ "Cerf", "N. J.", "" ] ]
quant-ph/0612220
Alejandro Rivas
Alejandro M.F. Rivas
Semi-classical Scar functions in phase space
19 pages, 2 figures. Submited to Journal Of Physics A
null
10.1088/1751-8113/40/36/006
null
quant-ph
null
We develop a semi-classical approximation for the scar function in the Weyl-Wigner representation in the neighborhood of a classically unstable periodic orbit of chaotic two dimensional systems. The prediction of hyperbolic fringes, asymptotic to the stable and unstable manifolds, is verified computationally for a (linear) cat map, after the theory is adapted to a discrete phase space appropriate to a quantized torus. Characteristic fringe patterns can be distinguished even for quasi-energies where the fixed point is not Bohr-quantized. Also the patterns are highly localized in the neighborhood of the periodic orbit and along its stable and unstable manifolds without any long distance patterns that appears for the case of the spectral Wigner function.
[ { "version": "v1", "created": "Thu, 28 Dec 2006 18:30:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Rivas", "Alejandro M. F.", "" ] ]
quant-ph/0612221
Indranil Chakrabarty ic
Indranil Chakrabarty, B.S.Choudhury
Two Party Non-Local Games
Accepted in International Journal of Theoretical Physics
IJTP, Volume 47, Number 12 / December, 2008
10.1007/s10773-008-9748-4
null
quant-ph
null
In this work we have introduced two party games with respective winning conditions. One cannot win these games deterministically in the classical world if they are not allowed to communicate at any stage of the game. Interestingly we find out that in quantum world, these winning conditions can be achieved if the players share an entangled state. We also introduced a game which is impossible to win if the players are not allowed to communicate in classical world (both probabilistically and deterministically), yet there exists a perfect quantum strategy by following which, one can attain the winning condition of the game.
[ { "version": "v1", "created": "Thu, 28 Dec 2006 18:40:56 GMT" }, { "version": "v2", "created": "Thu, 17 Apr 2008 06:03:48 GMT" } ]
2008-11-19T00:00:00
[ [ "Chakrabarty", "Indranil", "" ], [ "Choudhury", "B. S.", "" ] ]
quant-ph/0612222
Fernando Semi\~ao
F. L. Semi\~ao and K. Furuya
Entanglement in the dispersive interaction of trapped ions with a quantized field
10 pages, 5 figures, corrected typos
Phys. Rev. A 75, 042315 (2007)
10.1103/PhysRevA.75.042315
null
quant-ph
null
The mode-mode entanglement between trapped ions and cavity fields is investigated in the dispersive regime. We show how a simple initial preparation of Gaussian coherent states and a postselection may be used to generate motional non-local mesoscopic states (NLMS) involving ions in different traps. We also present a study of the entanglement induced by dynamical Stark-shifts considering a cluster of N-trapped ions. In this case, all entanglement is due to the dependence of the Stark-shifts on the ions' state of motion manifested as a cross-Kerr interaction between each ion and the field.
[ { "version": "v1", "created": "Thu, 28 Dec 2006 19:57:29 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 00:24:54 GMT" } ]
2015-06-26T00:00:00
[ [ "Semião", "F. L.", "" ], [ "Furuya", "K.", "" ] ]
quant-ph/0612223
Shi-Jian Gu
Wen-Ling Chan, Jun-Peng Cao, Dong Yang, and Shi-Jian Gu
Effects of environmental parameters to total, quantum and classical correlations
6 pages, 4 figures
J. Phys. A: Math. Theor. 40 12143 (2007).
10.1088/1751-8113/40/40/009
null
quant-ph
null
We quantify the total, quantum, and classical correlations with entropic measures, and quantitatively compare these correlations in a quantum system, as exemplified by a Heisenberg dimer which is subjected to the change of environmental parameters: temperature and nonuniform external field. Our results show that the quantum correlation may exceed the classical correlation at some nonzero temperatures, though the former is rather fragile than the later under thermal fluctuation. The effect of the external field to the classical correlation is quite different from the quantum correlation.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 03:56:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Chan", "Wen-Ling", "" ], [ "Cao", "Jun-Peng", "" ], [ "Yang", "Dong", "" ], [ "Gu", "Shi-Jian", "" ] ]
quant-ph/0612224
Tulsi Dass
Tulsi Dass
Consistent Quantum-Classical Interaction and Solution of the Measurement Problem in Quantum Mechanics
11 pages
null
null
CMI/PHYS-2006-1
quant-ph
null
Supmech, an algebraic scheme of mechanics integrating noncommutative symplectic geometry and noncommutative probability, subsumes quantum and classical mechanics and permits consistent treatment of interaction of quantum and classical systems. Quantum measurements are treated in this framework; the von Neumann reduction rule (generally postulated) is derived and interpreted in physical terms.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 09:48:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Dass", "Tulsi", "" ] ]
quant-ph/0612225
Jeong San Kim
Dong Pyo Chi, Jeong Woon Choi, Jeong San Kim, Taewan Kim, and Soojoon Lee
Bound entangled states with nonzero distillable key rate
7 pages, 1 figure, typos corrected, accepted for publication in PRA
null
10.1103/PhysRevA.75.032306
null
quant-ph
null
In this paper, we present sufficient conditions for states to have positive distillable key rate. Exploiting the conditions, we show that the bound entangled states given by Horodecki et al. [Phys. Rev. Lett. 94, 160502 (2005), quant-ph/0506203] have nonzero distillable key rate, and finally exhibit a new class of bound entangled states with positive distillable key rate, but with negative Devetak-Winter lower bound of distillable key rate for the ccq states of their privacy squeezed versions.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 12:39:15 GMT" }, { "version": "v2", "created": "Tue, 16 Jan 2007 03:49:12 GMT" }, { "version": "v3", "created": "Wed, 17 Jan 2007 07:30:25 GMT" }, { "version": "v4", "created": "Mon, 12 Feb 2007 05:53:26 GMT" } ]
2015-06-26T00:00:00
[ [ "Chi", "Dong Pyo", "" ], [ "Choi", "Jeong Woon", "" ], [ "Kim", "Jeong San", "" ], [ "Kim", "Taewan", "" ], [ "Lee", "Soojoon", "" ] ]
quant-ph/0612226
Christian de Ronde
Graciela Domenech, Hector Freytes and Christian de Ronde
Scopes and Limits of Modality in Quantum Mechanics
9 pages, no figures
Annalen der Physik 15 (2006) 853-860
10.1002/andp.200610217
null
quant-ph
null
We develop an algebraic frame for the simultaneous treatment of actual and possible properties of quantum systems. We show that, in spite of the fact that the language is enriched with the addition of a modal operator to the orthomodular structure, contextuality remains a central feature of quantum systems.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 13:56:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Domenech", "Graciela", "" ], [ "Freytes", "Hector", "" ], [ "de Ronde", "Christian", "" ] ]
quant-ph/0612227
Christian de Ronde
Graciela Domenech, Hector Freytes and Christian de Ronde
A Topological Study of Contextuality and Modality in Quantum Mechanics
10 pages, no figures, submitted to I. J. Th. Phys
International Journal of Theoretical Physics 47 (2008) 168-174
10.1007/s10773-007-9595-8
null
quant-ph
null
Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 14:01:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Domenech", "Graciela", "" ], [ "Freytes", "Hector", "" ], [ "de Ronde", "Christian", "" ] ]
quant-ph/0612228
Adam Miranowicz
S. K. Ozdemir, A. Miranowicz, T. Ota, G. Yusa, N. Imoto, Y. Hirayama
Nuclear Spins in a Nanoscale Device for Quantum Information Processing
5 pages, 4 figures
e-J. Surf. Sci. Nanotech 4, 669-673 (2006).
10.1380/ejssnt.2006.669
null
quant-ph
null
Coherent oscillations between any two levels from four nuclear spin states of I=3/2 have been demonstrated in a nanometre-scale NMR semiconductor device, where nuclear spins are all-electrically controlled. Using this device, we discuss quantum logic operations on two fictitious qubits of the I=3/2 system, and propose a quantum state tomography scheme based on the measurement of longitudinal magnetization, $M_z$.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 17:19:36 GMT" } ]
2009-08-04T00:00:00
[ [ "Ozdemir", "S. K.", "" ], [ "Miranowicz", "A.", "" ], [ "Ota", "T.", "" ], [ "Yusa", "G.", "" ], [ "Imoto", "N.", "" ], [ "Hirayama", "Y.", "" ] ]
quant-ph/0612229
Viv Kendon
Olivier Maloyer (U Paris-Sud) and Viv Kendon (U Leeds)
Decoherence vs entanglement in coined quantum walks
11 pages, 6 embedded eps figures; v2 improved layout and discussion
New J. Phys. 9 (2007) 87
10.1088/1367-2630/9/4/087
null
quant-ph
null
Quantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and even faster mixing on the cycle by removing the need for time-averaging to obtain a uniform distribution. We calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entanglement is just removed by the time the final measurement is made.
[ { "version": "v1", "created": "Fri, 29 Dec 2006 20:39:51 GMT" }, { "version": "v2", "created": "Sun, 11 Mar 2007 19:53:34 GMT" } ]
2007-07-26T00:00:00
[ [ "Maloyer", "Olivier", "", "U Paris-Sud" ], [ "Kendon", "Viv", "", "U Leeds" ] ]
quant-ph/0701001
Gilles Brassard
Gilles Brassard, Andre Allan Methot
Can quantum-mechanical description of physical reality be considered incomplete?
12 pages, no figures, dedicated to the memory of Asher Peres
International Journal of Quantum Information, Vol. 4, no. 1, pp. 45-54, 2006
null
null
quant-ph
null
In loving memory of Asher Peres, we discuss a most important and influential paper written in 1935 by his thesis supervisor and mentor Nathan Rosen, together with Albert Einstein and Boris Podolsky. In that paper, the trio known as EPR questioned the completeness of quantum mechanics. The authors argued that the then-new theory should not be considered final because they believed it incapable of describing physical reality. The epic battle between Einstein and Bohr intensified following the latter's response later the same year. Three decades elapsed before John S. Bell gave a devastating proof that the EPR argument was fatally flawed. The modest purpose of our paper is to give a critical analysis of the original EPR paper and point out its logical shortcomings in a way that could have been done 70 years ago, with no need to wait for Bell's theorem. We also present an overview of Bohr's response in the interest of showing how it failed to address the gist of the EPR argument.
[ { "version": "v1", "created": "Sat, 30 Dec 2006 01:11:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Brassard", "Gilles", "" ], [ "Methot", "Andre Allan", "" ] ]
quant-ph/0701002
Eduardo Sergio Santini
E. Sergio Santini
Can EPR correlations be driven by an effective wormhole?
Talk given at the Eleventh Marcel Grossmann Meeting, Berlin, Germany, 23-29 July 2006
null
null
null
quant-ph gr-qc
null
We consider the two-particle wave function of an EPR system given by a two dimensional relativistic scalar field model. The Bohm-de Broglie interpretation is applied and the quantum potential is viewed as modifying the Minkowski geometry. In such a way singularities appear in the metric, opening the possibility, following Holland, of interpreting the EPR correlations as originated by a wormhole effective geometry, through which physical signals can propagate.
[ { "version": "v1", "created": "Sat, 30 Dec 2006 13:04:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Santini", "E. Sergio", "" ] ]
quant-ph/0701003
Michael Seevinck
M. Seevinck
Separable quantum states do not have stronger correlations than local realism. A comment on quant-ph/0611126 of Z. Chen
Welcome
null
null
null
quant-ph
null
Chen (quant-ph/0611126) has recently claimed ``exponential violation of local realism by separable states", in the sense that multi-partite separable quantum states are supposed to give rise to correlations and fluctuations that violate a Bell-type inequality that Chen takes to be satisfied by local realism. However, this can not be true since all predictions (including all correlations and fluctuations) that separable quantum states give rise to have a local realistic description and thus satisfy all Bell-type inequalities, and this holds for all number of parties. Since Chen claims otherwise by presenting a new inequality, claimed to be a Bell-type one, which separable states supposedly can violate, there must be a flaw in the argumentation. I will expose this flaw, not merely for clarification of this issue, but perhaps even more importantly since it re-teaches us an old lesson John Bell taught us over 40 years ago. I will argue that this lesson provides us with a new morale especially relevant to modern research in Bell-type inequalities.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 13:24:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Seevinck", "M.", "" ] ]
quant-ph/0701004
Michael Nielsen
Mark R. Dowling and Michael A. Nielsen
The geometry of quantum computation
23 pages
null
null
null
quant-ph
null
Determining the quantum circuit complexity of a unitary operation is closely related to the problem of finding minimal length paths in a particular curved geometry [Nielsen et al, Science 311, 1133-1135 (2006)]. This paper investigates many of the basic geometric objects associated to this space, including the Levi-Civita connection, the geodesic equation, the curvature, and the Jacobi equation. We show that the optimal Hamiltonian evolution for synthesis of a desired unitary necessarily obeys a simple universal geodesic equation. As a consequence, once the initial value of the Hamiltonian is set, subsequent changes to the Hamiltonian are completely determined by the geodesic equation. We develop many analytic solutions to the geodesic equation, and a set of invariants that completely determine the geodesics. We investigate the problem of finding minimal geodesics through a desired unitary, U, and develop a procedure which allows us to deform the (known) geodesics of a simple and well understood metric to the geodesics of the metric of interest in quantum computation. This deformation procedure is illustrated using some three-qubit numerical examples. We study the computational complexity of evaluating distances on Riemmanian manifolds, and show that no efficient classical algorithm for this problem exists, subject to the assumption that good pseudorandom generators exist. Finally, we develop a canonical extension procedure for unitary operations which allows ancilla qubits to be incorporated into the geometric approach to quantum computing.
[ { "version": "v1", "created": "Sun, 31 Dec 2006 05:17:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Dowling", "Mark R.", "" ], [ "Nielsen", "Michael A.", "" ] ]
quant-ph/0701005
Michael Khasin
M. Khasin, R. Kosloff and D. Steinitz
Negativity as a distance from a separable state
9 pages, 1 figure
Phys. Rev. A 75, 052325 (2007)
10.1103/PhysRevA.75.052325
null
quant-ph
null
The computable measure of the mixed-state entanglement, the negativity, is shown to admit a clear geometrical interpretation, when applied to Schmidt-correlated (SC) states: the negativity of a SC state equals a distance of the state from a pertinent separable state. As a consequence, a SC state is separable if and only if its negativity vanishes. Another remarkable consequence is that the negativity of a SC can be estimated "at a glance" on the density matrix. These results are generalized to mixtures of SC states, which emerge in certain quantum-dynamical settings.
[ { "version": "v1", "created": "Mon, 1 Jan 2007 15:13:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Khasin", "M.", "" ], [ "Kosloff", "R.", "" ], [ "Steinitz", "D.", "" ] ]
quant-ph/0701006
Thomas Curtright
Thomas Curtright and Andrzej Veitia
Quasi-hermitian Quantum Mechanics in Phase Space
Accepted by Journal of Mathematical Physics
J.Math.Phys.48:102112,2007
10.1063/1.2365716
null
quant-ph hep-th math-ph math.MP
null
We investigate quasi-hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 04:01:54 GMT" }, { "version": "v2", "created": "Mon, 15 Jan 2007 03:42:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Curtright", "Thomas", "" ], [ "Veitia", "Andrzej", "" ] ]
quant-ph/0701007
Xiang-Bin Wang
Xiang-bin Wang, J. Q. You, Franco Nori
Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
4 pages, 1 figure
Phys. Rev. A 77, 062339 (2008)
10.1103/PhysRevA.77.062339
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a method to generate large cluster states without using conditional (e.g., CNOT, C-phase) gates. Indeed, an arbitrarily large cluster state can be generated and expanded almost deterministically by single-qubit rotations and a special non-deterministic collective detection. If the rotation of each step is sufficiently small, the quantum Zeno effect will guarantee that the state is projected into the intended subspace after each measurement, and an almost-perfect cluster state can be produced. We also propose a possible implementation of this approach using superconducting flux qubits.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 07:09:54 GMT" }, { "version": "v2", "created": "Mon, 4 Aug 2008 03:20:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Xiang-bin", "" ], [ "You", "J. Q.", "" ], [ "Nori", "Franco", "" ] ]
quant-ph/0701008
Ofer Firstenberg
O. Firstenberg, M. Shuker, A. Ben-Kish, D. R. Fredkin, N. Davidson, A. Ron
Theory of Dicke narrowing in coherent population trapping
6 pages, 2 figures; Introduction revised
Phys. Rev. A 76, 013818 (2007)
10.1103/PhysRevA.76.013818
null
quant-ph
null
The Doppler effect is one of the dominant broadening mechanisms in thermal vapor spectroscopy. For two-photon transitions one would naively expect the Doppler effect to cause a residual broadening, proportional to the wave-vector difference. In coherent population trapping (CPT), which is a narrow-band phenomenon, such broadening was not observed experimentally. This has been commonly attributed to frequent velocity-changing collisions, known to narrow Doppler-broadened one-photon absorption lines (Dicke narrowing). Here we show theoretically that such a narrowing mechanism indeed exists for CPT resonances. The narrowing factor is the ratio between the atom's mean free path and the wavelength associated with the wave-vector difference of the two radiation fields. A possible experiment to verify the theory is suggested.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 09:57:57 GMT" }, { "version": "v2", "created": "Mon, 15 Jan 2007 15:52:22 GMT" } ]
2007-08-14T00:00:00
[ [ "Firstenberg", "O.", "" ], [ "Shuker", "M.", "" ], [ "Ben-Kish", "A.", "" ], [ "Fredkin", "D. R.", "" ], [ "Davidson", "N.", "" ], [ "Ron", "A.", "" ] ]
quant-ph/0701009
Artur Garc\'ia-Saez
Alessandro Ferraro, Artur Garcia-Saez and Antonio Acin
Monogamy and ground-state entanglement in highly connected systems
7 pages, 11 figures. Considerably extended version, with new numerical and analytical results
Phys. Rev. A 76, 052321 (2007)
10.1103/PhysRevA.76.052321
null
quant-ph cond-mat.other
null
We consider the ground-state entanglement in highly connected many-body systems, consisting of harmonic oscillators and spin-1/2 systems. Varying their degree of connectivity, we investigate the interplay between the enhancement of entanglement, due to connections, and its frustration, due to monogamy constraints. Remarkably, we see that in many situations the degree of entanglement in a highly connected system is essentially of the same order as in a low connected one. We also identify instances in which the entanglement decreases as the degree of connectivity increases.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 11:49:14 GMT" }, { "version": "v2", "created": "Thu, 29 Nov 2007 10:54:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Ferraro", "Alessandro", "" ], [ "Garcia-Saez", "Artur", "" ], [ "Acin", "Antonio", "" ] ]
quant-ph/0701010
Alex Bernardini
Alex E. Bernardini
Limitations on the principle of stationary phase when it is applied to tunneling analysis
17 pages, 2 figures
Phys. Rev. A74 (2006) 062111
10.1103/PhysRevA.74.062111
null
quant-ph
null
Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties which frequently arise when the stationary phase method is employed for deriving phase (tunneling) time expressions, we present a theoretical exercise involving a symmetrical collision between two identical wave packets and an one-dimensional rectangular potential barrier. Summing the amplitudes of the reflected and transmitted waves - using a method we call multiple peak decomposition - is shown to allow reconstruction of the scattered wave packets in a way which allows the stationary phase principle to be recovered.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 12:41:29 GMT" } ]
2009-11-10T00:00:00
[ [ "Bernardini", "Alex E.", "" ] ]
quant-ph/0701011
Daniela Dragoman
Daniela Dragoman and Mircea Dragoman
Negative Differential Resistance of Electrons in Graphene Barrier
null
null
null
null
quant-ph
null
The graphene is a native two-dimensional crystal material consisting of a single sheet of carbon atoms. In this unique one-atom-thick material, the electron transport is ballistic and is described by a quantum relativistic-like Dirac equation rather than by the Schrodinger equation. As a result, a graphene barrier behaves very differently compared to a common semiconductor barrier. We show that a single graphene barrier acts as a switch with a very high on-off ratio and displays a significant differential negative resistance, which promotes graphene as a key material in nanoelectronics.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 14:51:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Dragoman", "Daniela", "" ], [ "Dragoman", "Mircea", "" ] ]
quant-ph/0701012
Daniela Dragoman
Daniela Dragoman and Mircea Dragoman
Metamaterials for Ballistic Electrons
null
null
10.1063/1.2734876
null
quant-ph
null
The paper presents a metamaterial for ballistic electrons, which consists of a quantum barrier formed in a semiconductor with negative effective electron mass. This barrier is the analogue of a metamaterial for electromagnetic waves in media with negative electrical permittivity and magnetic permeability. Besides applications similar to those of optical metamaterials, a nanosized slab of a metamaterial for ballistic electrons, sandwiched between quantum wells of positive effective mass materials, reveals unexpected conduction properties, e.g. single or multiple room temperature negative differential conductance regions at very low voltages and with considerable peak-to-valley ratios, while the traversal time of ballistic electrons can be tuned to larger or smaller values than in the absence of the metamaterial slab. Thus, slow and fast electrons, analogous to slow and fast light, occur in metamaterials for ballistic electrons.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 15:02:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Dragoman", "Daniela", "" ], [ "Dragoman", "Mircea", "" ] ]
quant-ph/0701013
Jenny Hide Miss
Jenny Hide, Wonmin Son, Ian Lawrie, Vlatko Vedral
Witnessing Macroscopic Entanglement in a Staggered Magnetic Field
Accepted for publication in Physical Review A, minor changes from previous version. 5 pages, 3 figures
Phys. Rev. A 76, 022319 (2007)
10.1103/PhysRevA.76.022319
null
quant-ph cond-mat.stat-mech
null
We investigate macroscopic entanglement in an infinite XX spin-1/2 chain with staggered magnetic field, B_l=B+e^{-i\pi l}b. Using single-site entropy and by constructing an entanglement witness, we search for the existence of entanglement when the system is at absolute zero, as well as in thermal equilibrium. Although the role of the alternating magnetic field b is, in general, to suppress entanglement as do B and T, we find that when T=0, introducing b allows the existence of entanglement even when the uniform magnetic field B is arbitrarily large. We find that the region and the amount of entanglement in the spin chain can be enhanced by a staggered magnetic field.
[ { "version": "v1", "created": "Tue, 2 Jan 2007 16:00:35 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2007 10:37:52 GMT" } ]
2008-07-21T00:00:00
[ [ "Hide", "Jenny", "" ], [ "Son", "Wonmin", "" ], [ "Lawrie", "Ian", "" ], [ "Vedral", "Vlatko", "" ] ]
quant-ph/0701014
Angelo Bassi Dr.
A. Bassi
Dynamical Reduction Models: present status and future developments
12 pages. Contribution to the Proceedings of the "Third International Workshop DICE2006", Castello di Piombino (Tuscany), September 11-15, 2006. Minor changes made
J.Phys.Conf.Ser.67:012013,2007
10.1088/1742-6596/67/1/012013
null
quant-ph
null
We review the major achievements of the dynamical reduction program, showing why and how it provides a unified, consistent description of physical phenomena, from the microscopic quantum domain to the macroscopic classical one. We discuss the difficulties in generalizing the existing models in order to comprise also relativistic quantum field theories. We point out possible future lines of research, ranging from mathematical physics to phenomenology.
[ { "version": "v1", "created": "Wed, 3 Jan 2007 14:04:55 GMT" }, { "version": "v2", "created": "Thu, 8 Feb 2007 18:04:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Bassi", "A.", "" ] ]
quant-ph/0701015
Amir Kalev
I. Hen and A. Kalev
Classical States and Their Quantum Correspondence
8 pages. We have taken a different path in showing that the classical--quantum correspondence still holds under time evolution
null
null
null
quant-ph
null
We point out a correspondence between classical and quantum states, by showing that for every classical distribution over phase--space, one can construct a corresponding quantum state, such that in the classical limit of $\hbar\to 0$ the latter converges to the former with respect to all measurable quantities.
[ { "version": "v1", "created": "Wed, 3 Jan 2007 15:09:11 GMT" }, { "version": "v2", "created": "Mon, 26 Feb 2007 15:43:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Hen", "I.", "" ], [ "Kalev", "A.", "" ] ]
quant-ph/0701016
Simon Kochen
John Conway and Simon Kochen
Reply to Comments of Bassi, Ghirardi, and Tumulka on the Free Will Theorem
We sharpen our theorem by replacing axiom FIN by a weaker axiom MIN to answer the above authors' objections
null
10.1007/s10701-007-9173-1
null
quant-ph
null
We show that the authors in the title have erred in claiming that our axiom FIN is false by conflating it with Bell locality. We also argue that the predictions of quantum mechanics, and in particular EPR, are fully Lorentz invariant, whereas the Free Will Theorem shows that theories with a mechanism of reduction, such as GRW, cannot be made fully invariant.
[ { "version": "v1", "created": "Wed, 3 Jan 2007 19:52:16 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 18:15:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Conway", "John", "" ], [ "Kochen", "Simon", "" ] ]
quant-ph/0701017
Robert Prevedel
Robert Prevedel, Philip Walther, Felix Tiefenbacher, Pascal B\"ohi, Rainer Kaltenbaek, Thomas Jennewein and Anton Zeilinger
High-speed linear optics quantum computing using active feed-forward
19 pages, 4 figures
Nature 445, 65-69 (2007)
10.1038/nature05346
null
quant-ph
null
As information carriers in quantum computing, photonic qubits have the advantage of undergoing negligible decoherence. However, the absence of any significant photon-photon interaction is problematic for the realization of non-trivial two-qubit gates. One solution is to introduce an effective nonlinearity by measurements resulting in probabilistic gate operations. In one-way quantum computation, the random quantum measurement error can be overcome by applying a feed-forward technique, such that the future measurement basis depends on earlier measurement results. This technique is crucial for achieving deterministic quantum computation once a cluster state (the highly entangled multiparticle state on which one-way quantum computation is based) is prepared. Here we realize a concatenated scheme of measurement and active feed-forward in a one-way quantum computing experiment. We demonstrate that, for a perfect cluster state and no photon loss, our quantum computation scheme would operate with good fidelity and that our feed-forward components function with very high speed and low error for detected photons. With present technology, the individual computational step (in our case the individual feed-forward cycle) can be operated in less than 150 ns using electro-optical modulators. This is an important result for the future development of one-way quantum computers, whose large-scale implementation will depend on advances in the production and detection of the required highly entangled cluster states.
[ { "version": "v1", "created": "Thu, 4 Jan 2007 17:15:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Prevedel", "Robert", "" ], [ "Walther", "Philip", "" ], [ "Tiefenbacher", "Felix", "" ], [ "Böhi", "Pascal", "" ], [ "Kaltenbaek", "Rainer", "" ], [ "Jennewein", "Thomas", "" ], [ "Zeilinger", "Anton", "" ] ]
quant-ph/0701018
Rui Guo
Rui Guo and Hong Guo
Control momentum entanglement with atomic spontaneously generated coherence
6 pages, 10 figures
null
null
null
quant-ph
null
With atomic spontaneously generated coherence (SGC), we propose a novel scheme to coherently control the atom--photon momentum entanglement through atomic internal coherence. A novel phenomena of ``phase entanglement in momentum'' is proposed, and we found, under certain conditions, that super--high degree of momentum entanglement can be produced with this scheme.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 07:02:55 GMT" }, { "version": "v2", "created": "Wed, 28 Feb 2007 04:12:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Guo", "Rui", "" ], [ "Guo", "Hong", "" ] ]
quant-ph/0701019
Lucien Hardy
Lucien Hardy
Quantum gravity computers: On the theory of computation with indefinite causal structure
24 pages. For proceedings of "Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle: An International Conference in Honour of Abner Shimony"
null
10.1007/978-1-4020-9107-0_21
null
quant-ph gr-qc
null
A quantum gravity computer is one for which the particular effects of quantum gravity are relevant. In general relativity, causal structure is non-fixed. In quantum theory non-fixed quantities are subject to quantum uncertainty. It is therefore likely that, in a theory of quantum gravity, we will have indefinite causal structure. This means that there will be no matter of fact as to whether a particular interval is timelike or not. We study the implications of this for the theory of computation. Classical and quantum computations consist in ivolving the state of the computer through a sequence of time steps. This will, most likely, not be possible for a quantum gravity computer because the notion of a time step makes no sense if we have indefinite causal structure. We show that it is possible to set up a model for computation even in the absence of definite causal structure by using a certain framework (the causaloid formalism) that was developed for the purpose of correlating data taken in this type of situation. Corresponding to a physical theory is a causaloid, Lambda (this is a mathematical object containing information about the causal connections between different spacetime regions). A computer is given by the pair {Lambda, S} where S is a set of gates. Working within the causaloid formalism, we explore the question of whether universal quantum gravity computers are possible. We also examine whether a quantum gravity computer might be more powerful than a quantum (or classical) computer. In particular, we ask whether indefinite causal structure can be used as a computational resource.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 10:48:08 GMT" } ]
2015-06-26T00:00:00
[ [ "Hardy", "Lucien", "" ] ]
quant-ph/0701020
Manabu Hagiwara
Manabu Hagiwara, Hideki Imai
Quantum Quasi-Cyclic LDPC Codes
18 pages, 1 figures, published in proc. of ISIT 2007, (2007 IEEE International Symposium on Information Theory)
null
10.1109/ISIT.2007.4557323
null
quant-ph cs.IT math-ph math.CO math.IT math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed. That is, we find quantum regular LDPC codes with various weight distributions. Furthermore our proposed codes have lots of variations for length, code rate. These codes are obtained by a descrete mathematical characterization for model matrices of quasi-cyclic LDPC codes. Our proposed codes achieve a bounded distance decoding (BDD) bound, or known as VG bound, and achieve a lower bound of the code length.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 10:36:46 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 07:13:49 GMT" }, { "version": "v3", "created": "Thu, 13 May 2010 04:57:03 GMT" }, { "version": "v4", "created": "Sat, 28 Aug 2010 11:46:17 GMT" } ]
2016-11-18T00:00:00
[ [ "Hagiwara", "Manabu", "" ], [ "Imai", "Hideki", "" ] ]
quant-ph/0701021
Shang-Bin Li
Shang-Bin Li, Xu-Bo Zou, Guang-Can Guo
Nonclassicality of quantum excitation of classical coherent field in photon loss channel
5 pages, 5 figures, RevTex4, submitted
Phys. Rev. A 75, 045801 (2007)
10.1103/PhysRevA.75.045801
null
quant-ph
null
We investigate the nonclassicality of photon-added coherent states in the photon loss channel by exploring the entanglement potential and negative Wigner distribution. The total negative probability defined by the absolute value of the integral of the Wigner function over the negative distribution region reduces with the increase of decay time. The total negative probability and the entanglement potential of pure photon-added coherent states exhibit the similar dependence on the beam intensity. The reduce of the total negative probability is consistent with the behavior of entanglement potential for the dissipative single-photon-added coherent state at short decay times.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 12:02:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "Shang-Bin", "" ], [ "Zou", "Xu-Bo", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0701022
Dan Solomon
Dan Solomon
Some new results concerning the QFT vacuum in the Heisenberg picture
7 pages, typos corrected
Apeiron15:567,2008
null
null
quant-ph
null
In has been recently shown [1] that in Dirac's hole theory the vacuum state is not the minimum energy state but that there exist quantum states with less energy than that of the vacuum state. In this paper we extend this discussion to quantum field theory (QFT) and consider the question of whether or not the vacuum in QFT is the state of minimum energy. It will be shown that for a "simple" field theory, consisting of a quantized fermion field interacting with a classical electric field in 1-1D space-time, there exist quauntum states with less energy than that of the vacuum state.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 14:30:41 GMT" }, { "version": "v2", "created": "Mon, 18 Feb 2008 02:05:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Solomon", "Dan", "" ] ]
quant-ph/0701023
Rostislav Serota
J. M. A. S. P. Wickramasinghe, B. Goodman and R. A. Serota
Quantum jumps of saturation level rigidity and anomalous oscillations of level number variance in the semiclassical spectrum of a modified Kepler problem
18 pages, 3 color figures inline
null
10.1103/PhysRevE.77.056216
null
quant-ph cond-mat.mes-hall nlin.SI
null
We discover quantum Hall like jumps in the saturation spectral rigidity in the semiclassical spectrum of a modified Kepler problem as a function of the interval center. These jumps correspond to integer decreases of the radial winding numbers in classical periodic motion. We also discover and explain single harmonic dominated oscillations of the level number variance with the width of the energy interval. The level number variance becomes effectively zero for the interval widths defined by the frequency of the shortest periodic orbit. This signifies that there are virtually no variations from sample to sample in the number of levels on such intervals.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 16:53:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Wickramasinghe", "J. M. A. S. P.", "" ], [ "Goodman", "B.", "" ], [ "Serota", "R. A.", "" ] ]
quant-ph/0701024
Enrique Solano
C. Thiel, T. Bastin, J. Martin, E. Solano, J. von Zanthier, and G. S. Agarwal
Quantum Imaging with Incoherent Photons
4 pages, 3 figures, improved presentation. Accepted in Physical Review Letters
Phys. Rev. Lett. 99, 133603 (2007)
10.1103/PhysRevLett.99.133603
null
quant-ph
null
We propose a technique to obtain sub-wavelength resolution in quantum imaging with potentially 100% contrast using incoherent light. Our method requires neither path-entangled number states nor multi-photon absorption. The scheme makes use of N photons spontaneously emitted by N atoms and registered by N detectors. It is shown that for coincident detection at particular detector positions a resolution of \lambda / N can be achieved.
[ { "version": "v1", "created": "Fri, 5 Jan 2007 20:21:26 GMT" }, { "version": "v2", "created": "Fri, 5 Jan 2007 22:51:09 GMT" }, { "version": "v3", "created": "Fri, 10 Aug 2007 17:09:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Thiel", "C.", "" ], [ "Bastin", "T.", "" ], [ "Martin", "J.", "" ], [ "Solano", "E.", "" ], [ "von Zanthier", "J.", "" ], [ "Agarwal", "G. S.", "" ] ]
quant-ph/0701025
Hiroaki Terashima
Hiroaki Terashima, Masahito Ueda
Probabilistic reversing operation with fidelity and purity gain for macroscopic quantum superposition
21 pages, 2 figures
Phys.Rev. A75 (2007) 052323
10.1103/PhysRevA.75.052323
null
quant-ph
null
It is shown that a large class of weak disturbances on macroscopic quantum superpositions can be canceled by a probabilistic reversing operation on the system. We illustrate this for spin systems undergoing an Ising-type interaction with the environment and demonstrate that both the fidelity to the original state and the purity of the amended state can simultaneously be increased by the reversing operation. A possible experimental scheme to implement our scheme is discussed.
[ { "version": "v1", "created": "Sat, 6 Jan 2007 12:08:46 GMT" }, { "version": "v2", "created": "Sat, 7 Apr 2007 12:40:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Terashima", "Hiroaki", "" ], [ "Ueda", "Masahito", "" ] ]
quant-ph/0701026
Wesley B. Cardoso
W. B. Cardoso and N. G. de Almeida
Truncated states obtained by iteration
10 pages, 22 figures
Chin. Phys. Lett. Vol. 25, No. 2 (2008) 517
10.1088/0256-307X/25/2/045
null
quant-ph
null
Quantum states of the electromagnetic field are of considerable importance, finding potential application in various areas of physics, as diverse as solid state physics, quantum communication and cosmology. In this paper we introduce the concept of truncated states obtained via iterative processes (TSI) and study its statistical features, making an analogy with dynamical systems theory (DST). As a specific example, we have studied TSI for the doubling and the logistic functions, which are standard functions in studying chaos. TSI for both the doubling and logistic functions exhibit certain similar patterns when their statistical features are compared from the point of view of DST. A general method to engineer TSI in the running-wave domain is employed, which includes the errors due to the nonidealities of detectors and photocounts.
[ { "version": "v1", "created": "Sat, 6 Jan 2007 14:49:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Cardoso", "W. B.", "" ], [ "de Almeida", "N. G.", "" ] ]
quant-ph/0701027
Shahriar S. Afshar
Shahriar S. Afshar
Violation of the principle of Complementarity, and its implications
16 pages, 11 figures, SPIE conference 5866, "THE NATURE OF LIGHT: WHAT IS A PHOTON?", August 2005
Proc. SPIE 5866 (2005) 229-244
10.1117/12.638774
null
quant-ph
null
Bohr's principle of complementarity predicts that in a welcher weg ("which-way") experiment, obtaining fully visible interference pattern should lead to the destruction of the path knowledge. Here I report a failure for this prediction in an optical interferometry experiment. Coherent laser light is passed through a dual pinhole and allowed to go through a converging lens, which forms well-resolved images of the respective pinholes, providing complete path knowledge. A series of thin wires are then placed at previously measured positions corresponding to the dark fringes of the interference pattern upstream of the lens. No reduction in the resolution and total radiant flux of either image is found in direct disagreement with the predictions of the principle of complementarity. In this paper, a critique of the current measurement theory is offered, and a novel nonperturbative technique for ensemble properties is introduced. Also, another version of this experiment without an imaging lens is suggested, and some of the implications of the violation of complementarity for another suggested experiment to investigate the nature of the photon and its "empty wave" is briefly discussed.
[ { "version": "v1", "created": "Sun, 7 Jan 2007 01:34:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Afshar", "Shahriar S.", "" ] ]
quant-ph/0701028
Feng Pan
Feng Pan, Nan Ma, Xin Guan, and J. P. Draayer
First order quantum phase transitions in the XX spin chain
5 pages and 1 figure, LaTeX. More typos corrected; more refs added
null
null
0703-LNNU-LSU
quant-ph
null
Quantum phase transitional behavior of a finite periodic XX spin-1/2 chain with nearest neighbor interaction in a uniform transverse field is studied based on the simple exact solutions. It is found that there are [N/2] level-crossing points in the ground state, where N is the periodic number of the system and [x] stands for the integer part of x, when the interaction strength and magnitude of the magnetic field satisfy certain conditions. The quantum phase transitions are of the first order due to the level-crossing. The ground state in the thermodynamic limit will be divided into three distinguishable quantum phases.
[ { "version": "v1", "created": "Mon, 8 Jan 2007 18:47:52 GMT" }, { "version": "v2", "created": "Tue, 9 Jan 2007 14:29:46 GMT" }, { "version": "v3", "created": "Wed, 10 Jan 2007 23:45:52 GMT" }, { "version": "v4", "created": "Sat, 3 Feb 2007 09:47:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Pan", "Feng", "" ], [ "Ma", "Nan", "" ], [ "Guan", "Xin", "" ], [ "Draayer", "J. P.", "" ] ]
quant-ph/0701029
Duanlu Zhou
D.L. Zhou and L. You
Characterizing the complete hierarchy of correlations in an $n$-party system
4 pages
null
null
null
quant-ph
null
A characterization of the complete correlation structure in an $n$-party system is proposed in terms of a series of $(k,n)$ threshold classical secret sharing protocols ($2\le k\le n$). The total correlation is shown to be the sum of independent correlations of 2-, 3-,$...$, $n$-parties. Our result unifies several earlier scattered works, and shines new light at the important topic of multi-party quantum entanglement. As an application, we explicitly construct the hierarchy of correlations in an $n$-qubit graph state.
[ { "version": "v1", "created": "Sun, 7 Jan 2007 06:52:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhou", "D. L.", "" ], [ "You", "L.", "" ] ]
quant-ph/0701030
Daowen Qiu
Lvzhou Li, Daowen Qiu
The states of W-class as shared resources for perfect teleportation and superdense coding
10 pages, critical comments and suggestions are welcome
Journal of Physics A: Math. Theor. 40 (2007) 10871-10885.
10.1088/1751-8113/40/35/010
null
quant-ph
null
As we know, the states of triqubit systems have two important classes: GHZ-class and W-class. In this paper, the states of W-class are considered for teleportation and superdense coding, and are generalized to multi-particle systems. First we describe two transformations of the shared resources for teleportation and superdense coding, which allow many new protocols from some known ones for that. As an application of these transformations, we obtain a sufficient and necessary condition for a state of W-class being suitable for perfect teleportation and superdense coding. As another application, we find that state $|W>_{123}={1/2}(|100>_{123}+|010>_{123}+\sqrt{2}|001>_{123})$ can be used to transmit three classical bits by sending two qubits, which was considered to be impossible by P. Agrawal and A. Pati [Phys. Rev. A to be published]. We generalize the states of W-class to multi-qubit systems and multi-particle systems with higher dimension. We propose two protocols for teleportation and superdense coding by using W-states of multi-qubit systems that generalize the protocols by using $|W>_{123}$ proposed by P. Agrawal and A. Pati. We obtain an optimal way to partition some W-states of multi-qubit systems into two subsystems, such that the entanglement between them achieves maximum value.
[ { "version": "v1", "created": "Sun, 7 Jan 2007 09:22:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "Lvzhou", "" ], [ "Qiu", "Daowen", "" ] ]
quant-ph/0701031
P. K. Aravind
P.K.Aravind
Variation on a theme by GHZM
9 pages, 3 figures, PDF only
null
null
null
quant-ph
null
In the Greenberger-Horne-Zeilinger-Mermin (GHZM) proof of Bell's theorem, a source periodically emits an entangled state of three particles whose properties are analyzed by three distant observers and used to prove Bell's nonlocality theorem. This paper analyzes a somewhat different gedanken experiment involving only two observers that nevertheless makes indirect use of the GHZ states to prove Bell's theorem. The relationship of the GHZM proof to the present one is discussed, and it is pointed out that the latter provides an interesting new view of the connection between the "two theorems of John Bell".
[ { "version": "v1", "created": "Sun, 7 Jan 2007 18:05:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Aravind", "P. K.", "" ] ]
quant-ph/0701032
Dafa Li
D. Li, X. Li, H. Huang, X. Li
SLOCC invariant and semi-invariants for SLOCC classification of four-qubits
22 pages, no figures, 9 tables, submit the paper to a journal
Phys. Rev. A 76, 052311 (2007)
10.1103/PhysRevA.76.052311
null
quant-ph
null
We show there are at least 28 distinct true SLOCC entanglement classes for four-qubits by means of SLOCC invariant and semi-invariants and derive the number of the degenerated SLOCC classes for n-qubits.
[ { "version": "v1", "created": "Mon, 8 Jan 2007 03:44:50 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 08:06:44 GMT" } ]
2012-05-08T00:00:00
[ [ "Li", "D.", "" ], [ "Li", "X.", "" ], [ "Huang", "H.", "" ], [ "Li", "X.", "" ] ]
quant-ph/0701033
Jingbo Wang
J.B. Wang and B.L. Douglas
Graph identification by quantum walks
This paper has been withdrawn
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper has been withdrawn by the authors; replaced by arXiv:0705.2531v2 [quant-ph].
[ { "version": "v1", "created": "Mon, 8 Jan 2007 08:59:51 GMT" }, { "version": "v2", "created": "Mon, 22 Jan 2007 11:27:19 GMT" }, { "version": "v3", "created": "Thu, 7 May 2009 18:41:14 GMT" } ]
2009-05-07T00:00:00
[ [ "Wang", "J. B.", "" ], [ "Douglas", "B. L.", "" ] ]