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quant-ph/0608215
Julien Niset Mr
J. Niset, A. Acin, U. L. Andersen, N. J. Cerf, R. Garc\'ia-Patr\'on, M. Navascues, M. Sabuncu
Experimental Proof of Quantum Nonlocality without Squeezing
4 pages, 2 figures
Phys. Rev. Lett. 98, 260404 (2007)
10.1103/PhysRevLett.98.260404
null
quant-ph
null
It is shown that the ensemble $\{p (\alpha),|\alpha>|\alpha^*>\}$ where $p (\alpha)$ is a Gaussian distribution of finite variance and $| \alpha>$ is a coherent state can be better discriminated with an entangled measurement than with any local strategy supplemented by classical communication. Although this ensemble consists of products of quasi-classical states, it exhibits some quantum nonlocality. This remarkable effect is demonstrated experimentally by implementing the optimal local strategy together with a joint nonlocal strategy that yields a higher fidelity.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 13:03:38 GMT" } ]
2013-05-29T00:00:00
[ [ "Niset", "J.", "" ], [ "Acin", "A.", "" ], [ "Andersen", "U. L.", "" ], [ "Cerf", "N. J.", "" ], [ "García-Patrón", "R.", "" ], [ "Navascues", "M.", "" ], [ "Sabuncu", "M.", "" ] ]
quant-ph/0608216
Dirk Witthaut
H. J. Korsch, A. Klumpp, and D. Witthaut
On two-dimensional Bessel functions
25 pages, 17 figures
J. Phys. A: Math. Gen. 39, 14947 (2006)
10.1088/0305-4470/39/48/008
null
quant-ph math-ph math.MP
null
The general properties of two-dimensional generalized Bessel functions are discussed. Various asymptotic approximations are derived and applied to analyze the basic structure of the two-dimensional Bessel functions as well as their nodal lines.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 14:38:16 GMT" } ]
2008-08-12T00:00:00
[ [ "Korsch", "H. J.", "" ], [ "Klumpp", "A.", "" ], [ "Witthaut", "D.", "" ] ]
quant-ph/0608217
Dirk Witthaut
A. Klumpp, D. Witthaut, and H. J. Korsch
Quantum transport and localization in biased periodic structures under bi- and polychromatic driving
18 pages, 11 figure
J. Phys. A: Math. Theor. 40, 2299 (2007)
10.1088/1751-8113/40/10/006
null
quant-ph
null
We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient closed form description of the transport properties in terms of generalized Bessel functions. The case of bichromatic driving is analyzed in detail and the intricate transport and localization phenomena depending on the communicability of the two excitation frequencies and the Bloch frequency are discussed. The case of polychromatic driving is also discussed, in particular for flipped static fields, i.e. rectangular pulses, which can support an almost dispersionless transport with a velocity independent of the field amplitude.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 14:28:41 GMT" } ]
2008-08-12T00:00:00
[ [ "Klumpp", "A.", "" ], [ "Witthaut", "D.", "" ], [ "Korsch", "H. J.", "" ] ]
quant-ph/0608218
Takayuki Miyadera
Takayuki Miyadera, Hideki Imai
Strength of interaction for information distribution
3 pages. Typos corrected. To appear in Phys.Rev.A
Phys. Rev. A 74, 064302 (2006)
10.1103/PhysRevA.74.064302
null
quant-ph
null
Let us consider two quantum systems: system A and system B. Suppose that a classical information is encoded to quantum states of the system A and we distribute this information to both systems by making them interact with each other. We show that it is impossible to achieve this goal perfectly if the strength of interaction between the quantum systems is smaller than a quantity that is determined by noncommutativity between a Hamiltonian of the system A and the states (density operators) used for the information encoding. It is a consequence of a generalized Winger-Araki-Yanase theorem which enables us to treat conserved quantities other than additive ones.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 17:19:57 GMT" }, { "version": "v2", "created": "Tue, 24 Oct 2006 07:46:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Miyadera", "Takayuki", "" ], [ "Imai", "Hideki", "" ] ]
quant-ph/0608219
David Clader
B.D. Clader and J.H. Eberly
Theoretical Study of Fast Light with Short sech Pulses in Coherent Gain Media
7 pages, 8 figures; Replaced with revised version accepted by JOSA B
JOSA B, Vol. 24, Issue 4, pp. 916-921 (2007)
10.1364/JOSAB.24.000916
null
quant-ph
null
We investigate theoretically the phenomenon of so-called fast light in an unconventional regime, using pulses sufficiently short that relaxation effects in a gain medium can be ignored completely. We show that previously recognized gain instabilities, including superfluorescence, can be tolerated in achieving a pulse peak advance of one full peak width.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 19:35:04 GMT" }, { "version": "v2", "created": "Wed, 15 Nov 2006 20:48:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Clader", "B. D.", "" ], [ "Eberly", "J. H.", "" ] ]
quant-ph/0608220
Jos\'e Abel Hoyos Neto
Jose A. Hoyos, and Gustavo Rigolin
Quantum channels in random spin chains
v1: 4 pages, 2 eps figures; v2: discussion about the effect of temperature added, v3: 1 eps figure added, enlarged discussions, 6 pages, published version
Phys. Rev. A 74, 062324 (2006)
10.1103/PhysRevA.74.062324
null
quant-ph cond-mat.dis-nn
null
We study the entanglement between pairs of qubits in a random antiferromagnetic spin-1/2 chain at zero temperature. We show that some very distant pairs of qubits are highly entangled, being almost pure Bell states. Furthermore, the probability to obtain such spin pairs is proportional to the chain disorder strenght and inversely proportional to the square of their separation.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 19:56:57 GMT" }, { "version": "v2", "created": "Thu, 31 Aug 2006 19:54:55 GMT" }, { "version": "v3", "created": "Fri, 29 Dec 2006 23:15:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Hoyos", "Jose A.", "" ], [ "Rigolin", "Gustavo", "" ] ]
quant-ph/0608221
Pavel Yu. Moshin
B.L. Voronov (Lebedev P. Inst.), D.M. Gitman (U. of Sao Paulo), I.V. Tyutin (Lebedev P. Inst.)
Dirac Hamiltonian with superstrong Coulomb field
44 pages, LaTex file, to be published in Teor.Mat.Fiz. (Theor.Math.Phys.)
Theor.Math.Phys.150:34-72,2007
10.1007/s11232-007-0004-5
Publicacao IFUSP 1623/2006
quant-ph hep-th math-ph math.MP
null
We consider the quantum-mechanical problem of a relativistic Dirac particle moving in the Coulomb field of a point charge $Ze$. In the literature, it is often declared that a quantum-mechanical description of such a system does not exist for charge values exceeding the so-called critical charge with $% Z=\alpha ^{-1}=137$ based on the fact that the standard expression for the lower bound state energy yields complex values at overcritical charges. We show that from the mathematical standpoint, there is no problem in defining a self-adjoint Hamiltonian for any value of charge. What is more, the transition through the critical charge does not lead to any qualitative changes in the mathematical description of the system. A specific feature of overcritical charges is a non uniqueness of the self-adjoint Hamiltonian, but this non uniqueness is also characteristic for charge values less than the critical one (and larger than the subcritical charge with $Z=(\sqrt{3}% /2)\alpha ^{-1}=118$). We present the spectra and (generalized) eigenfunctions for all self-adjoint Hamiltonians. The methods used are the methods of the theory of self-adjoint extensions of symmetric operators and the Krein method of guiding functionals. The relation of the constructed one-particle quantum mechanics to the real physics of electrons in superstrong Coulomb fields where multiparticle effects may be of crucial importance is an open question.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 20:39:58 GMT" }, { "version": "v2", "created": "Tue, 21 Nov 2006 20:13:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Voronov", "B. L.", "", "Lebedev P. Inst." ], [ "Gitman", "D. M.", "", "U. of Sao Paulo" ], [ "Tyutin", "I. V.", "", "Lebedev P. Inst." ] ]
quant-ph/0608222
Andrea Salgueiro
A. N. Salgueiro, A. F. R. de Toledo Piza, G. B. Lemos, R. Drumond, M. C. Nemes and M. Weidemueller
Quantum dynamics of bosons in a double-well potential: Josephson oscillations, self-trapping and ultralong tunneling times
null
Eur. Phys. J. D 44 3 (2007) 537-540
10.1140/epjd/e2007-00224-4
null
quant-ph
null
The dynamics of the population imbalance of bosons in a double-well potential is investigated from the point of view of many-body quantum mechanics in the framework of the two-mode model. For small initial population imbalances, coherent superpositions of almost equally spaced energy eigenstates lead to Josephson oscillations. The suppression of tunneling at population imbalance beyond a critical value is related to a high concentration of initial state population in the region of the energy spectrum with quasi-degenerate doublets resulting in imbalance oscillations with a very small amplitude. For unaccessible long times, however, the system recovers the regime of Josephson oscillations.
[ { "version": "v1", "created": "Mon, 28 Aug 2006 23:22:00 GMT" } ]
2010-11-09T00:00:00
[ [ "Salgueiro", "A. N.", "" ], [ "Piza", "A. F. R. de Toledo", "" ], [ "Lemos", "G. B.", "" ], [ "Drumond", "R.", "" ], [ "Nemes", "M. C.", "" ], [ "Weidemueller", "M.", "" ] ]
quant-ph/0608223
Debbie W. Leung
Debbie Leung, Jonathan Oppenheim, and Andreas Winter
Quantum network communication -- the butterfly and beyond
15 pages, 17 figures. Final version
IEEE Trans. Inf. Theory, 56 (2010) 3478-3490
10.1109/TIT.2010.2048442
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the k-pair communication problem for quantum information in networks of quantum channels. We consider the asymptotic rates of high fidelity quantum communication between specific sender-receiver pairs. Four scenarios of classical communication assistance (none, forward, backward, and two-way) are considered. (i) We obtain outer and inner bounds of the achievable rate regions in the most general directed networks. (ii) For two particular networks (including the butterfly network) routing is proved optimal, and the free assisting classical communication can at best be used to modify the directions of quantum channels in the network. Consequently, the achievable rate regions are given by counting edge avoiding paths, and precise achievable rate regions in all four assisting scenarios can be obtained. (iii) Optimality of routing can also be proved in classes of networks. The first class consists of directed unassisted networks in which (1) the receivers are information sinks, (2) the maximum distance from senders to receivers is small, and (3) a certain type of 4-cycles are absent, but without further constraints (such as on the number of communicating and intermediate parties). The second class consists of arbitrary backward-assisted networks with 2 sender-receiver pairs. (iv) Beyond the k-pair communication problem, observations are made on quantum multicasting and a static version of network communication related to the entanglement of assistance.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 06:43:27 GMT" }, { "version": "v2", "created": "Tue, 29 Aug 2006 22:02:40 GMT" }, { "version": "v3", "created": "Tue, 15 May 2007 00:13:56 GMT" }, { "version": "v4", "created": "Mon, 30 Jul 2007 19:06:30 GMT" }, { "version": "v5", "created": "Thu, 3 Dec 2009 04:24:16 GMT" } ]
2016-11-15T00:00:00
[ [ "Leung", "Debbie", "" ], [ "Oppenheim", "Jonathan", "" ], [ "Winter", "Andreas", "" ] ]
quant-ph/0608224
Hoshang Heydari
Hoshang Heydari
Concurrence for multipartite states
5 pages
J. Phys. A: Math. Gen. 39 (2006) 15225-15229
10.1088/0305-4470/39/49/010
null
quant-ph
null
We construct a generalized concurrence for general multipartite states based on local W-class and GHZ-class operators. We explicitly construct the corresponding concurrence for three-partite states. The construction of the concurrence is interesting since it is based on local operators.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 02:51:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
quant-ph/0608225
Mohamad Ali Jafarizadeh
M. A. Jafarizadeh, M. Mirzaee, M.Rezaee
Exact calculation of robustness of entanglement via convex semi-definite programming
33 pages 3 figures
International Journal of Quantum Information (IJQI) vol3, no 3 (2005) 511-533
null
null
quant-ph
null
In general the calculation of robustness of entanglement for the mixed entangled quantum states is rather difficult to handle analytically. Using the the convex semi-definite programming method, the robustness of entanglement of some mixed entangled quantum states such as: $2\otimes 2$ Bell decomposable (BD) states, a generic two qubit state in Wootters basis, iso-concurrence decomposable states, $2\otimes 3$ Bell decomposable states, $d\otimes d$ Werner and isotropic states, a one parameter $3\otimes 3$ state and finally multi partite isotropic state, is calculated exactly, where thus obtained results are in agreement with those of :$2\otimes 2$ density matrices, already calculated by one of the authors in \cite{Bell1,Rob3}. Also an analytic expression is given for separable states that wipe out all entanglement and it is further shown that they are on the boundary of separable states as pointed out in \cite{du}. {\bf Keywords: Robustness of entanglement, Semi-definite programming, Bell decomposable states, Werner and isotropic states.}
[ { "version": "v1", "created": "Tue, 29 Aug 2006 05:21:34 GMT" } ]
2016-09-08T00:00:00
[ [ "Jafarizadeh", "M. A.", "" ], [ "Mirzaee", "M.", "" ], [ "Rezaee", "M.", "" ] ]
quant-ph/0608226
Mohamad Ali Jafarizadeh
M. A. Jafarizadeh, M.Mirzaee, M.Rezaee
Evaluation of relative entropy of entanglement and derivation of optimal Lewenstein-Sanpera decomposition of Bell decomposable states via convex optimization
19 pages 1 figure
Physica A: Statistical and Theoretical Physics, Volume 349, Issues 3-4, 15 April 2005, Pages 459-470
null
null
quant-ph
null
We provide an analytical expression for optimal Lewenstein-Sanpera decomposition of Bell decomposable states by using semi-definite programming. Also using the Karush-Kuhn-Tucker optimization method, the minimum relative entropy of entanglement of Bell decomposable states has been evaluated and it is shown that the same separable Bell decomposable state lying at the boundary of convex set of separable Bell decomposable states, optimizes both Lewenstein-Sanpera decomposition and relative entropy of entanglement. {\bf Keywords: Minimum relative entropy of entanglement, Semi-definite programming, Convex optimization, Lewenstein-Sanpera decomposition, Bell decomposable states.} {\bf PACs Index: 03.65.Ud}
[ { "version": "v1", "created": "Tue, 29 Aug 2006 06:07:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Jafarizadeh", "M. A.", "" ], [ "Mirzaee", "M.", "" ], [ "Rezaee", "M.", "" ] ]
quant-ph/0608227
Denes Petz
Denes Petz and Jonas Kahn
Complementary reductions for two qubits
7 pages, key words: mutually unbiased bases, unbiased measurements, complementary subalgebras, Cartan decomposition, Pauli matrices
J. Math. Phys. 48, 012107, 2007.
10.1063/1.2424883
null
quant-ph math-ph math.MP
null
In connection with optimal state determination for two qubits, the question was raised about the maximum number of pairwise complementary reductions. The main result of the paper tells that the maximum number is 4, that is, if A1, A2,... Ak are pairwise complementary (or quasi-orthogonal) subalgebras of the algebra of all 4x4$ matrices and they are isomorphic to the algebra of all 2x2 matrices, then k is at most 4. In the way to this result, contributions are made to the understanding of the structure of complementary reductions.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 15:52:13 GMT" }, { "version": "v2", "created": "Thu, 26 Oct 2006 11:46:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Petz", "Denes", "" ], [ "Kahn", "Jonas", "" ] ]
quant-ph/0608228
Sebastian Hofferberth
S. Hofferberth, I. Lesanovsky, B. Fischer, J. Verdu, J. Schmiedmayer
Radio-frequency dressed state potentials for neutral atoms
null
Nature Physics, 2, 710 - 716 (2006)
10.1038/nphys420
null
quant-ph
null
Potentials for atoms can be created by external fields acting on properties like magnetic moment, charge, polarizability, or by oscillating fields which couple internal states. The most prominent realization of the latter is the optical dipole potential formed by coupling ground and electronically excited states of an atom with light. Here we present an experimental investigation of the remarkable properties of potentials derived from radio-frequency (RF) coupling between electronic ground states. The coupling is magnetic and the vector character allows to design state dependent potential landscapes. On atom chips this enables robust coherent atom manipulation on much smaller spatial scales than possible with static fields alone. We find no additional heating or collisional loss up to densities approaching $10^{15}$ atoms / cm$^3$ compared to static magnetic traps. We demonstrate the creation of Bose-Einstein condensates in RF potentials and investigate the difference in the interference between two independently created and two coherently split condensates in identical traps. All together this makes RF dressing a powerful new tool for micro manipulation of atomic and molecular systems.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 08:25:45 GMT" } ]
2008-02-20T00:00:00
[ [ "Hofferberth", "S.", "" ], [ "Lesanovsky", "I.", "" ], [ "Fischer", "B.", "" ], [ "Verdu", "J.", "" ], [ "Schmiedmayer", "J.", "" ] ]
quant-ph/0608229
Wenjamin Rosenfeld
Wenjamin Rosenfeld, Stefan Berner, Juergen Volz, Markus Weber, and Harald Weinfurter
Remote preparation of an atomic quantum memory
null
null
10.1103/PhysRevLett.98.050504
null
quant-ph
null
Storage and distribution of quantum information are key elements of quantum information processing and quantum communication. Here, using atom-photon entanglement as the main physical resource, we experimentally demonstrate the preparation of a distant atomic quantum memory. Applying a quantum teleportation protocol on a locally prepared state of a photonic qubit, we realized this so-called remote state preparation on a single, optically trapped 87Rb atom. We evaluated the performance of this scheme by the full tomography of the prepared atomic state, reaching an average fidelity of 82%.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 12:06:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Rosenfeld", "Wenjamin", "" ], [ "Berner", "Stefan", "" ], [ "Volz", "Juergen", "" ], [ "Weber", "Markus", "" ], [ "Weinfurter", "Harald", "" ] ]
quant-ph/0608230
Alexei Ourjoumtsev
Alexei Ourjoumtsev (LCFIO), Aurelien Dantan (LCFIO), Rosa Tualle-Brouri (LCFIO), Philippe Grangier (LCFIO)
Increasing entanglement between Gaussian states by coherent photon subtraction
null
Physical review letters 98 (2007) 030502
10.1103/PhysRevLett.98.030502
null
quant-ph
null
We experimentally demonstrate that the entanglement between Gaussian entangled states can be increased by non-Gaussian operations. Coherent subtraction of single photons from Gaussian quadrature-entangled light pulses, created by a non-degenerate parametric amplifier, produces delocalized states with negative Wigner functions and complex structures, more entangled than the initial states in terms of negativity. The experimental results are in very good agreement with the theoretical predictions.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 12:15:27 GMT" }, { "version": "v2", "created": "Thu, 31 Aug 2006 12:11:56 GMT" }, { "version": "v3", "created": "Sat, 2 Sep 2006 07:11:42 GMT" }, { "version": "v4", "created": "Tue, 30 Jan 2007 07:53:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Ourjoumtsev", "Alexei", "", "LCFIO" ], [ "Dantan", "Aurelien", "", "LCFIO" ], [ "Tualle-Brouri", "Rosa", "", "LCFIO" ], [ "Grangier", "Philippe", "", "LCFIO" ] ]
quant-ph/0608231
Christian Grosche Dr.
Christian Grosche
Path Integral Approach for Quantum Motion on Spaces of Non-constant Curvature According to Koenigs
null
null
null
DESY 06-140
quant-ph
null
In this contribution I discuss a path integral approach for the quantum motion on two-dimensional spaces according to Koenigs, for short ``Koenigs-Spaces''. Their construction is simple: One takes a Hamiltonian from two-dimensional flat space and divides it by a two-dimensional superintegrable potential. These superintegrable potentials are the isotropic singular oscillator, the Holt-potential, and the Coulomb potential. In all cases a non-trivial space of non-constant curvature is generated. We can study free motion and the motion with an additional superintegrable potential. For possible bound-state solutions we find in all three cases an equation of eighth order in the energy E. The special cases of the Darboux spaces are easily recovered by choosing the parameters accordingly.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 14:32:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Grosche", "Christian", "" ] ]
quant-ph/0608232
Rubens Ramos Viana
Paulo Benicio Melo de Sousa, Rubens Viana Ramos
Contract Signature Using Quantum Information
2 pages, 1 figure
null
null
null
quant-ph
null
This paper describes how to perform contract signature in a fair way using quantum information. The protocol proposed permits two partners, users of a communication network, to perform a contract signature based on the RSA security. The authentication of the signers is based on the use of a non-local XOR function of two classical bits.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 20:11:14 GMT" }, { "version": "v2", "created": "Thu, 8 Nov 2007 17:02:06 GMT" } ]
2007-11-08T00:00:00
[ [ "de Sousa", "Paulo Benicio Melo", "" ], [ "Ramos", "Rubens Viana", "" ] ]
quant-ph/0608233
Ronald Hanson
R. Hanson, O. Gywat and D. D. Awschalom
Room-temperature manipulation and decoherence of a single spin in diamond
null
Phys. Rev. B 74, 161203(R) (2006)
10.1103/PhysRevB.74.161203
null
quant-ph cond-mat.mes-hall
null
We report on room-temperature coherent manipulation of the spin of a single nitrogen-vacancy center in diamond and a study of its coherence as a function of magnetic field. We use magnetic resonance to induce Rabi nutations, and apply a Hahn spin echo to remove the effect of low-frequency dephasing. A sharp rise in the decoherence rate is observed at magnetic fields where the nitrogen-vacancy center spin couples resonantly to substitutional nitrogen spins via the magnetic dipolar coupling. Finally, we find evidence that away from these energy resonances spin flips of nitrogen electrons are the main source of decoherence.
[ { "version": "v1", "created": "Tue, 29 Aug 2006 23:57:15 GMT" }, { "version": "v2", "created": "Thu, 26 Oct 2006 23:53:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Hanson", "R.", "" ], [ "Gywat", "O.", "" ], [ "Awschalom", "D. D.", "" ] ]
quant-ph/0608234
Bo Wang
Shujing Li, Bo Wang, Xudong Yang, Yanxu Han, Hai Wang, Min Xiao, K.C. Peng
Controlled polarization rotation of an optical field in multi-Zeeman-sublevel atoms
28pages, 12figures
null
10.1103/PhysRevA.74.033821
null
quant-ph
null
We investigate, both theoretically and experimentally, the phenomenon of polarization rotation of a weak, linearly-polarized optical (probe) field in an atomic system with multiple three-level electromagnetically induced transparency (EIT) sub-systems. The polarization rotation angle can be controlled by a circularly-polarized coupling beam, which breaks the symmetry in number of EIT subsystems seen by the left- and right-circularly-polarized components of the weak probe beam. A large polarization rotation angle (up to 45 degrees) has been achieved with a coupling beam power of only 15 mW. Detailed theoretical analyses including different transition probabilities in different transitions and Doppler-broadening are presented and the results are in good agreements with the experimentally measured results.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 00:48:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "Shujing", "" ], [ "Wang", "Bo", "" ], [ "Yang", "Xudong", "" ], [ "Han", "Yanxu", "" ], [ "Wang", "Hai", "" ], [ "Xiao", "Min", "" ], [ "Peng", "K. C.", "" ] ]
quant-ph/0608235
Guoming Wang
Guoming Wang, Mingsheng Ying
Realization of positive-operator-valued measures by projective measurements without introducing ancillary dimensions
4 pages, 2 figures
null
null
null
quant-ph
null
We propose a scheme that can realize a class of positive-operator-valued measures (POVMs) by performing a sequence of projective measurements on the original system, in the sense that for an arbitrary input state the probability distribution of the measurement outcomes is faithfully reproduced. A necessary and sufficient condition for a POVM to be realizable in this way is also derived. In contrast to the canonical approach provided by Neumark's theorem, our method has the advantage of requiring no auxiliary system. Moreover, an arbitrary POVM can be realized by utilizing our protocol on an extended space which is formed by adding only a single extra dimension.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 05:37:51 GMT" }, { "version": "v2", "created": "Sat, 9 Sep 2006 14:42:53 GMT" }, { "version": "v3", "created": "Tue, 12 Sep 2006 16:47:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Guoming", "" ], [ "Ying", "Mingsheng", "" ] ]
quant-ph/0608236
Sung Soon Jang
Sung Soon Jang, Yong Wook Cheong, Jaewan Kim, and Hai-Woong Lee
Robustness of multiparty nonlocality to local decoherence
5 pages, 4 figures
null
10.1103/PhysRevA.74.062112
null
quant-ph
null
We investigate the robustness of multiparty nonlocality under local decoherence, acting independently and equally on each subsystems. To be specific, we consider an N-qubit GHZ state under depolarization, dephasing, or dissipation channel, and tested the nonlocality by violation of Mermin-Klyshko inequality, which is one of Bell's inequalities for multi-qubit systems. The results show that the robustness of nonlocality increases with the number of qubits, and that the nonlocality of an N-qubit GHZ state with even N is extremely persistent against dephasing.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 07:44:01 GMT" } ]
2013-05-29T00:00:00
[ [ "Jang", "Sung Soon", "" ], [ "Cheong", "Yong Wook", "" ], [ "Kim", "Jaewan", "" ], [ "Lee", "Hai-Woong", "" ] ]
quant-ph/0608237
Erik Sjoqvist
Erik Sj\"oqvist
On geometric phases for quantum trajectories
Submitted to the Proceedings of the 13th CEWQO 2006 in Vienna
Acta Physica Hungarica B: Quantum Electronics 26, 195 (2006)
10.1556/APH.26.2006.1-2.23
null
quant-ph
null
A sequence of completely positive maps can be decomposed into quantum trajectories. The geometric phase or holonomy of such a trajectory is delineated. For nonpure initial states, it is shown that well-defined holonomies can be assigned by using Uhlmann's concept of parallel transport along the individual trajectories. We put forward an experimental realization of the geometric phase for a quantum trajectory in interferometry. We argue that the average over the phase factors for all quantum trajectories that build up a given open system evolution, fails to reflect the geometry of the open system evolution itself.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 09:39:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Sjöqvist", "Erik", "" ] ]
quant-ph/0608238
Xiaofan Mo
Tao Zhang, Zheng-Fu Han, Xiao-Fan Mo, and Guang-Can Guo
Extensible router for multi-user quantum key distribution network
3 pages, 2 figures
null
null
null
quant-ph
null
A feasible quantum key distribution (QKD) network scheme has been proposed with the wavelength routing. An apparatus called "quantum router", which is made up of many wavelength division multiplexers, can route the quantum signals without destroying their quantum states. Combining with existing point-to-point QKD technology, we can setup a perfectly QKD star-network. A simple characteristic and feasibility of this scheme has also been obtained.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 09:54:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhang", "Tao", "" ], [ "Han", "Zheng-Fu", "" ], [ "Mo", "Xiao-Fan", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0608239
Hans De Raedt
K. De Raedt, K. Michielsen, H. De Raedt, B. Trieu, G. Arnold, M. Richter, Th. Lippert, H. Watanabe, N. Ito
Massive Parallel Quantum Computer Simulator
To appear in Comp. Phys. Comm
null
10.1016/j.cpc.2006.08.007
null
quant-ph
null
We describe portable software to simulate universal quantum computers on massive parallel computers. We illustrate the use of the simulation software by running various quantum algorithms on different computer architectures, such as a IBM BlueGene/L, a IBM Regatta p690+, a Hitachi SR11000/J1, a Cray X1E, a SGI Altix 3700 and clusters of PCs running Windows XP. We study the performance of the software by simulating quantum computers containing up to 36 qubits, using up to 4096 processors and up to 1 TB of memory. Our results demonstrate that the simulator exhibits nearly ideal scaling as a function of the number of processors and suggest that the simulation software described in this paper may also serve as benchmark for testing high-end parallel computers.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 09:59:18 GMT" } ]
2009-11-13T00:00:00
[ [ "De Raedt", "K.", "" ], [ "Michielsen", "K.", "" ], [ "De Raedt", "H.", "" ], [ "Trieu", "B.", "" ], [ "Arnold", "G.", "" ], [ "Richter", "M.", "" ], [ "Lippert", "Th.", "" ], [ "Watanabe", "H.", "" ], [ "Ito", "N.", "" ] ]
quant-ph/0608240
Duanlu Zhou
D.L. Zhou, B. Zeng, Z. Xu, and L. You
A multi-party correlation measure based on cumulant
9 pages, 1 figure, to be published in Phys. Rev. A
null
null
null
quant-ph
null
We propose a genuine multi-party correlation measure for a multi-party quantum system as the trace norm of the cumulant of the state. The legitimacy of our multi-party correlation measure is explicitly demonstrated by proving it satisfies the five basic conditions required for a correlation measure. As an application we construct an efficient algorithm for the calculation of our measures for all stabilizer states.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 10:48:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhou", "D. L.", "" ], [ "Zeng", "B.", "" ], [ "Xu", "Z.", "" ], [ "You", "L.", "" ] ]
quant-ph/0608241
G\'abor Ivanyos
Gabor Ivanyos, Attila B. Nagy, Lajos Ronyai
Quantum Computing with Global One-and Two-Qubit Gates
Substantially revised version. 18 pages
null
null
null
quant-ph
null
We present generalized and improved constructions for simulating quantum computers with a polynomial slowdown on lattices composed of qubits on which certain global versions of one- and two-qubit operations can be performed.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 11:53:38 GMT" }, { "version": "v2", "created": "Thu, 8 Mar 2007 18:27:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Ivanyos", "Gabor", "" ], [ "Nagy", "Attila B.", "" ], [ "Ronyai", "Lajos", "" ] ]
quant-ph/0608242
Jacob Dunningham
J.A. Dunningham, K. Burnett, R. Roth, and W.D. Phillips
Creation of macroscopic superposition states from arrays of Bose-Einstein condensates
7 pages, 5 figures
null
10.1088/1367-2630/8/9/182
null
quant-ph
null
We consider how macroscopic quantum superpositions may be created from arrays of Bose-Einstein condensates. We study a system of three condensates in Fock states, all with the same number of atoms and show that this has the form of a highly entangled superposition of different quasi-momenta. We then show how, by partially releasing these condensates and detecting an interference pattern where they overlap, it is possible to create a macroscopic superposition of different relative phases for the remaining portions of the condensates. We discuss methods for confirming these superpositions.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 14:49:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Dunningham", "J. A.", "" ], [ "Burnett", "K.", "" ], [ "Roth", "R.", "" ], [ "Phillips", "W. D.", "" ] ]
quant-ph/0608243
Jorge Pullin
Rodolfo Gambini and Jorge Pullin
Relational physics with real rods and clocks and the measurement problem of quantum mechanics
19 pages, RevTex, no figures
Found.Phys.37:1074-1092,2007
10.1007/s10701-007-9144-6
LSU-REL-083006
quant-ph gr-qc hep-th
null
The use of real clocks and measuring rods in quantum mechanics implies a natural loss of unitarity in the description of the theory. We briefly review this point and then discuss the implications it has for the measurement problem in quantum mechanics. The intrinsic loss of coherence allows to circumvent some of the usual objections to the measurement process as due to environmental decoherence.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 17:11:16 GMT" }, { "version": "v2", "created": "Sat, 8 Sep 2007 15:55:21 GMT" } ]
2008-11-26T00:00:00
[ [ "Gambini", "Rodolfo", "" ], [ "Pullin", "Jorge", "" ] ]
quant-ph/0608244
David Kribs
Man-Duen Choi, John A. Holbrook, David W. Kribs and Karol Zyczkowski
Higher-Rank Numerical Ranges of Unitary and Normal Matrices
23 pages, 3 figures, preprint version
Operators and Matrices 1, 409-426 (2007)
null
null
quant-ph
null
We verify a conjecture on the structure of higher-rank numerical ranges for a wide class of unitary and normal matrices. Using analytic and geometric techniques, we show precisely how the higher-rank numerical ranges for a generic unitary matrix are given by complex polygons determined by the spectral structure of the matrix. We discuss applications of the results to quantum error correction, specifically to the problem of identification and construction of codes for binary unitary noise models.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 18:59:25 GMT" }, { "version": "v2", "created": "Wed, 31 Jan 2007 01:44:07 GMT" } ]
2008-06-11T00:00:00
[ [ "Choi", "Man-Duen", "" ], [ "Holbrook", "John A.", "" ], [ "Kribs", "David W.", "" ], [ "Zyczkowski", "Karol", "" ] ]
quant-ph/0608245
Nahum Zobin
Nahum Zobin
Fubctional integral approach to quantum gauge theories on a noncommutative space-time
14
null
null
null
quant-ph
null
We propose a construction of actions of a quantum gauge field theory on a noncommutative space-time, based on a Fourier transform on the Doplicher-Fredenhagen-Roberts group. This approach leads to a functional integral representation of the action, which in turn leads to considering the space of probability measures on the classical space-time as a noncommutative version of the space-time. This approach allows a very natural treatment of gauge fields terms in the action.
[ { "version": "v1", "created": "Wed, 30 Aug 2006 20:14:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Zobin", "Nahum", "" ] ]
quant-ph/0608246
Cecilia L\'opez
Benjamin L\'evi, Cecilia C. L\'opez, Joseph Emerson, D. G. Cory
Efficient error characterization in Quantum Information Processing
11 pages, 9 figures
Phys. Rev. A 75, 022314 (2007)
10.1103/PhysRevA.75.022314
null
quant-ph
null
We describe how to use the fidelity decay as a tool to characterize the errors affecting a quantum information processor through a noise generator $G_{\tau}$. For weak noise, the initial decay rate of the fidelity proves to be a simple way to measure the magnitude of the different terms in $G_{\tau}$. When the generator has only terms associated with few-body couplings, our proposal is scalable. We present the explicit protocol for estimating the magnitude of the noise generators when the noise consists of only one and two-body terms, and describe a method for measuring the parameters of more general noise models. The protocol focuses on obtaining the magnitude with which these terms affect the system during a time step of length $\tau$; measurement of this information has critical implications for assesing the scalability of fault-tolerant quantum computation in any physical setup.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 01:31:38 GMT" } ]
2015-06-26T00:00:00
[ [ "Lévi", "Benjamin", "" ], [ "López", "Cecilia C.", "" ], [ "Emerson", "Joseph", "" ], [ "Cory", "D. G.", "" ] ]
quant-ph/0608247
Joel F. Corney
P. D. Drummond, P. Deuar, J. F. Corney
Quantum many-body simulations using Gaussian phase-space representations
Short Review (10 pages); Corrected typo in eq (14); Added a few more references
Optics and Spectroscopy 103, 7 (2007)
10.1134/S0030400X07070028
null
quant-ph
null
Phase-space representations are of increasing importance as a viable and successful means to study exponentially complex quantum many-body systems from first principles. This review traces the background of these methods, starting from the early work of Wigner, Glauber and Sudarshan. We focus on modern phase-space approaches using non-classical phase-space representations. These lead to the Gaussian representation, which unifies bosonic and fermionic phase-space. Examples treated include quantum solitons in optical fibers, colliding Bose-Einstein condensates, and strongly correlated fermions on lattices.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 06:36:46 GMT" }, { "version": "v2", "created": "Fri, 8 Sep 2006 00:33:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Drummond", "P. D.", "" ], [ "Deuar", "P.", "" ], [ "Corney", "J. F.", "" ] ]
quant-ph/0608248
George Jaroszkiewicz
George Jaroszkiewicz and Jon Eakins
Particle decay processes, the quantum Zeno effect and the continuity of time
Change of title and content to include quantum Zeno effect
null
null
null
quant-ph
null
Signal-state quantum mechanics is used to discuss quantum mechanical particle decay probabilities and the quantum Zeno effect. This approach avoids the assumption of continuous time, conserves total probability and requires neither non-Hermitian Hamiltonians nor the ad-hoc introduction of complex energies. The formalism is applied to single channel decays, the ammonium molecule, and neutral Kaon decay processes.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 11:18:28 GMT" }, { "version": "v2", "created": "Tue, 24 Oct 2006 11:39:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Jaroszkiewicz", "George", "" ], [ "Eakins", "Jon", "" ] ]
quant-ph/0608249
Antoni Borr\'as
A. Borr\'as, M. Casas, A.R. Plastino, A. Plastino
Entanglement and the Lower Bounds on the Speed of Quantum Evolution
19 pages, 5 figures
Physical Review A 74, 022326 (2006)
10.1103/PhysRevA.74.022326
null
quant-ph
null
The concept of quantum speed limit-time (QSL) was initially introduced as a lower bound to the time interval that a given initial state $\psi_I$ may need so as to evolve into a state orthogonal to itself. Recently [V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. A {\bf 67}, 052109 (2003)] this bound has been generalized to the case where $\psi_I$ does not necessarily evolve into an orthogonal state, but into any other $\psi_F$. It was pointed out that, for certain classes of states, quantum entanglement enhances the evolution "speed" of composite quantum systems. In this work we provide an exhaustive and systematic QSL study for pure and mixed states belonging to the whole 15-dimensional space of two qubits, with $\psi_F$ a not necessarily orthogonal state to $\psi_I$. We display convincing evidence for a clear correlation between concurrence, on the one hand, and the speed of quantum evolution determined by the action of a rather general local Hamiltonian, on the other one.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 10:36:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Borrás", "A.", "" ], [ "Casas", "M.", "" ], [ "Plastino", "A. R.", "" ], [ "Plastino", "A.", "" ] ]
quant-ph/0608250
Rajiah Simon
Rajiah Simon
NPPT Bound Entanglement Exists
4 pages, Revtex
null
null
null
quant-ph
null
Every dXd bipartite system is shown to have a large family of undistillable states with nonpositive partial transpose (NPPT). This family subsumes the family of conjectured NPPT bound entangled Werner states. In particular, all one-copy undistillable NPPT Werner states are shown to be bound entangled.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 13:02:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Simon", "Rajiah", "" ] ]
quant-ph/0608251
Oleg Pilyavets
V. I. Man'ko, O. V. Pilyavets, V. G. Zborovskii
Probability Representation of Quantum Mechanics: Comments and Bibliography
16 pages, TeX file
null
null
null
quant-ph
null
The probability representation of states in standard quantum mechanics where the quantum states are associated with fair probability distributions (instead of wave function or density matrix) is shortly commented and bibliography related to the probability representation is given.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 18:37:05 GMT" }, { "version": "v2", "created": "Wed, 11 Oct 2006 13:14:35 GMT" }, { "version": "v3", "created": "Tue, 17 Oct 2006 09:19:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Man'ko", "V. I.", "" ], [ "Pilyavets", "O. V.", "" ], [ "Zborovskii", "V. G.", "" ] ]
quant-ph/0609001
Samuel Kutin
Samuel A. Kutin
Shor's algorithm on a nearest-neighbor machine
11 pages, 1 color figure
null
null
null
quant-ph
null
We give a new ``nested adds'' circuit for implementing Shor's algorithm in linear width and quadratic depth on a nearest-neighbor machine. Our circuit combines Draper's transform adder with approximation ideas of Zalka. The transform adder requires small controlled rotations. We also give another version, with slightly larger depth, using only reversible classical gates. We do not know which version will ultimately be cheaper to implement.
[ { "version": "v1", "created": "Thu, 31 Aug 2006 20:54:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Kutin", "Samuel A.", "" ] ]
quant-ph/0609002
Stephen D. Bartlett
Stephen D. Bartlett and Terry Rudolph
A simple nearest-neighbor two-body Hamiltonian system for which the ground state is a universal resource for quantum computation
5 pages, 1 figure; v2 has a simplified lattice, an extended analysis of errors, and some additional references; v3 published version
Phys. Rev. A, 74, 040302(R) (2006)
10.1103/PhysRevA.74.040302
null
quant-ph
null
We present a simple quantum many-body system - a two-dimensional lattice of qubits with a Hamiltonian composed of nearest-neighbor two-body interactions - such that the ground state is a universal resource for quantum computation using single-qubit measurements. This ground state approximates a cluster state that is encoded into a larger number of physical qubits. The Hamiltonian we use is motivated by the projected entangled pair states, which provide a transparent mechanism to produce such approximate encoded cluster states on square or other lattice structures (as well as a variety of other quantum states) as the ground state. We show that the error in this approximation takes the form of independent errors on bonds occurring with a fixed probability. The energy gap of such a system, which in part determines its usefulness for quantum computation, is shown to be independent of the size of the lattice. In addition, we show that the scaling of this energy gap in terms of the coupling constants of the Hamiltonian is directly determined by the lattice geometry. As a result, the approximate encoded cluster state obtained on a hexagonal lattice (a resource that is also universal for quantum computation) can be shown to have a larger energy gap than one on a square lattice with an equivalent Hamiltonian.
[ { "version": "v1", "created": "Fri, 1 Sep 2006 00:11:27 GMT" }, { "version": "v2", "created": "Wed, 4 Oct 2006 23:11:31 GMT" }, { "version": "v3", "created": "Tue, 24 Oct 2006 23:39:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Bartlett", "Stephen D.", "" ], [ "Rudolph", "Terry", "" ] ]
quant-ph/0609003
Amaury Mouchet
Amaury Mouchet (LMPT), Christopher Eltschka, Peter Schlagheck
Influence of classical resonances on chaotic tunnelling
null
Physical Review E 74 (2006) 026211
10.1103/PhysRevE.74.026211
null
quant-ph
null
Dynamical tunnelling between symmetry-related stable modes is studied in the periodically driven pendulum. We present strong evidence that the tunnelling process is governed by nonlinear resonances that manifest within the regular phase-space islands on which the stable modes are localized. By means of a quantitative numerical study of the corresponding Floquet problem, we identify the trace of such resonances not only in the level splittings between near-degenerate quantum states, where they lead to prominent plateau structures, but also in overlap matrix elements of the Floquet eigenstates, which reveal characteristic sequences of avoided crossings in the Floquet spectrum. The semiclassical theory of resonance-assisted tunnelling yields good overall agreement with the quantum-tunnelling rates, and indicates that partial barriers within the chaos might play a prominent role.
[ { "version": "v1", "created": "Fri, 1 Sep 2006 08:09:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Mouchet", "Amaury", "", "LMPT" ], [ "Eltschka", "Christopher", "" ], [ "Schlagheck", "Peter", "" ] ]
quant-ph/0609004
Peter Rohde
Peter P. Rohde, Wolfgang Mauerer, Christine Silberhorn
Spectral structure and decompositions of optical states, and their applications
12 pages
New J. Phys 9, 91 (2007)
10.1088/1367-2630/9/4/091
null
quant-ph
null
We discuss the spectral structure and decomposition of multi-photon states. Ordinarily `multi-photon states' and `Fock states' are regarded as synonymous. However, when the spectral degrees of freedom are included this is not the case, and the class of `multi-photon' states is much broader than the class of `Fock' states. We discuss the criteria for a state to be considered a Fock state. We then address the decomposition of general multi-photon states into bases of orthogonal eigenmodes, building on existing multi-mode theory, and introduce an occupation number representation that provides an elegant description of such states that in many situations simplifies calculations. Finally we apply this technique to several example situations, which are highly relevant for state of the art experiments. These include Hong-Ou-Mandel interference, spectral filtering, finite bandwidth photo-detection, homodyne detection and the conditional preparation of Schr\"odinger Kitten and Fock states. Our techniques allow for very simple descriptions of each of these examples.
[ { "version": "v1", "created": "Fri, 1 Sep 2006 15:00:53 GMT" }, { "version": "v2", "created": "Tue, 4 Mar 2008 10:17:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Rohde", "Peter P.", "" ], [ "Mauerer", "Wolfgang", "" ], [ "Silberhorn", "Christine", "" ] ]
quant-ph/0609005
Peter Rohde
Peter P. Rohde
Quantum state tomography of single photons in the spectral degree of freedom
4 pages
null
null
null
quant-ph
null
Quantum State Tomography (QST) of optical states is typically performed in the photon number degree of freedom, a procedure which is well understood and has been experimentally demonstrated. However, optical states have other degrees of freedom than just photon number, such as the spatial and temporal/spectral ones. Full characterization of photonic states requires state reconstruction in these additional degrees of freedom. In this paper we present a technique for performing QST of single photon states in the spectral degree of freedom. This is of importance, for example, in quantum information processing applications, which typically impose strict requirements on the purity and distinguishability of independently produced single photons. The described technique allows for full reconstruction of the spectral density matrix, allowing the purity and distinguishability of different sources to be readily calculated.
[ { "version": "v1", "created": "Fri, 1 Sep 2006 15:37:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Rohde", "Peter P.", "" ] ]
quant-ph/0609006
Paul Slater
Paul B. Slater
Two-Qubit Separability Probabilities and Beta Functions
17 pages, 4 figures, paper is substantially rewritten and reorganized, with the quasi-Monte Carlo integration sample size being greatly increased
Phys. Rev. A 75, 032326 (March, 2007) (7 pages)
10.1103/PhysRevA.75.032326
null
quant-ph
null
Due to recent important work of Zyczkowski and Sommers (quant-ph/0302197 and quant-ph/0304041), exact formulas are available (both in terms of the Hilbert-Schmidt and Bures metrics) for the (n^2-1)-dimensional and (n(n-1)/2-1)-dimensional volumes of the complex and real n x n density matrices. However, no comparable formulas are available for the volumes (and, hence, probabilities) of various separable subsets of them. We seek to clarify this situation for the Hilbert-Schmidt metric for the simplest possible case of n=4, that is, the two-qubit systems. Making use of the density matrix (rho) parameterization of Bloore (J. Phys. A 9, 2059 [1976]), we are able to reduce each of the real and complex volume problems to the calculation of a one-dimensional integral, the single relevant variable being a certain ratio of diagonal entries, nu = (rho_{11} rho_{44})/{rho_{22} rho_{33})$. The associated integrand in each case is the product of a known (highly oscillatory near nu=1) jacobian and a certain unknown univariate function, which our extensive numerical (quasi-Monte Carlo) computations indicate is very closely proportional to an (incomplete) beta function B_{nu}(a,b), with a=1/2, b=sqrt{3}in the real case, and a=2 sqrt{6}/5, b =3/sqrt{2} in the complex case. Assuming the full applicability of these specific incomplete beta functions, we undertake separable volume calculations.
[ { "version": "v1", "created": "Fri, 1 Sep 2006 16:49:33 GMT" }, { "version": "v2", "created": "Mon, 18 Dec 2006 16:59:21 GMT" } ]
2013-05-29T00:00:00
[ [ "Slater", "Paul B.", "" ] ]
quant-ph/0609007
Florian Marquardt
Florian Marquardt, Benjamin Abel, Jan von Delft
Measuring the size of a Schroedinger cat state
5 pages, 3 figures
Phys. Rev. A 78, 012109 (2008).
10.1103/PhysRevA.78.012109
null
quant-ph
null
We propose a measure for the "size" of a Schroedinger cat state, i.e. a quantum superposition of two many-body states with (supposedly) macroscopically distinct properties, by counting how many single-particle operations are needed to map one state onto the other. This definition gives sensible results for simple, analytically tractable cases and is consistent with a previous definition restricted to Greenberger-Horne-Zeilinger-like states. We apply our measure to the experimentally relevant, nontrivial example of a superconducting three-junction flux qubit put into a superposition of left- and right-circulating supercurrent states and find this Schroedinger cat to be surprisingly small.
[ { "version": "v1", "created": "Fri, 1 Sep 2006 19:29:52 GMT" } ]
2008-07-22T00:00:00
[ [ "Marquardt", "Florian", "" ], [ "Abel", "Benjamin", "" ], [ "von Delft", "Jan", "" ] ]
quant-ph/0609008
Avi Pe'er
Avi Pe'er, Evgeny A. Shapiro, Matthew C. Stowe, Moshe Shapiro and Jun Ye
Precise Control of Molecular Dynamics with a Femtosecond Frequency Comb - A Weak Field Route to Strong Field Coherent Control
4+ pages, 3 figures, pacs corrected
Phys. Rev. Lett. 98, 113004 (2007)
10.1103/PhysRevLett.98.113004
null
quant-ph physics.atm-clus physics.atom-ph physics.optics
null
We present a general and highly efficient scheme for performing narrow-band Raman transitions between molecular vibrational levels using a coherent train of weak pump-dump pairs of shaped ultrashort pulses. The use of weak pulses permits an analytic description within the framework of coherent control in the perturbative regime, while coherent accumulation of many pulse pairs enables near unity transfer efficiency with a high spectral selectivity, thus forming a powerful combination of pump-dump control schemes and the precision of the frequency comb. The concept is presented analytically and its feasibility and robustness are verified by simulations of dynamics in Rb$_2$. We consider application of this concept to the formation of stable, deeply bound, ultracold molecules.
[ { "version": "v1", "created": "Sat, 2 Sep 2006 00:16:21 GMT" }, { "version": "v2", "created": "Tue, 5 Sep 2006 14:00:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Pe'er", "Avi", "" ], [ "Shapiro", "Evgeny A.", "" ], [ "Stowe", "Matthew C.", "" ], [ "Shapiro", "Moshe", "" ], [ "Ye", "Jun", "" ] ]
quant-ph/0609009
Mark Kasevich
Wei Li, Ari K. Tuchman, Hui-Chun Chien, Mark A. Kasevich
Extended Coherence Time with Atom-Number Squeezed Sources
4 pages, 4 figures
null
10.1103/PhysRevLett.98.040402
null
quant-ph
null
Coherence properties of Bose-Einstein condensates offer the potential for improved interferometric phase contrast. However, decoherence effects due to the mean-field interaction shorten the coherence time, thus limiting potential sensitivity. In this work, we demonstrate increased coherence times with number squeezed states in an optical lattice using the decay of Bloch oscillations to probe the coherence time. We extend coherence times by a factor of 2 over those expected with coherent state BEC interferometry. We observe quantitative agreement with theory both for the degree of initial number squeezing as well as for prolonged coherence times.
[ { "version": "v1", "created": "Sat, 2 Sep 2006 01:59:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "Wei", "" ], [ "Tuchman", "Ari K.", "" ], [ "Chien", "Hui-Chun", "" ], [ "Kasevich", "Mark A.", "" ] ]
quant-ph/0609010
Arti Chamoli
Arti Chamoli and C. M. Bhandari
Evolution Of Entanglement In Groverian Search Algorithm: Two-Qutrit System
9 pages, 1 figure
null
null
null
quant-ph
null
Entanglement plays a crucial role in quantum processes particularly those pertaining to quantum information and computation. An analytical expression for entanglement measure defined in terms of success rate of Grover's search algorithm has been obtained for a two-qutrit system and the calculated results agree well with the conventional entropy based measure. Qutrit system are of special interest because the Hilbert space dimensionality (for a given number of qudits-d-dimensional system)is optimal for d=3 and this may be of significance in the enhancement of computing power.
[ { "version": "v1", "created": "Sat, 2 Sep 2006 19:09:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Chamoli", "Arti", "" ], [ "Bhandari", "C. M.", "" ] ]
quant-ph/0609011
Eugene Kogan
E. Kogan
Decay of discrete state resonantly coupled to a continuum of finite width
6 pages, 6 eps figures, revtex
null
null
null
quant-ph cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A simple quantum mechanical model consisting of a discrete level resonantly coupled to a continuum of finite width, where the coupling can be varied from perturbative to strong (Fano-Anderson model), is considered. The particle is initially localized at the discrete level, and the time dependence of the amplitude to find the particle at the discrete level is calculated without resorting to perturbation theory. The deviations from the exponential decay law, predicted by the Fermi's Golden Rule, are discussed. We also study analytic structure of the Green's function (GF) for the model. We analyze the GF poles, branch points and Riemann surface, and show how the Fermi's Golden Rule, valid in perturbative regime for not to large time, appears in this context. The knowledge of analytic structure of the GF in frequency representation opens opportunities for obtaining easy for numerical calculations formulas for the GF in time representation, alternative to those using the spectral density.
[ { "version": "v1", "created": "Sun, 3 Sep 2006 13:06:31 GMT" }, { "version": "v2", "created": "Sun, 1 Oct 2006 07:23:00 GMT" }, { "version": "v3", "created": "Sat, 18 Nov 2006 14:37:01 GMT" }, { "version": "v4", "created": "Mon, 8 Jan 2007 15:45:16 GMT" }, { "version": "v5", "created": "Thu, 22 Mar 2007 17:17:21 GMT" }, { "version": "v6", "created": "Mon, 18 Feb 2019 15:02:13 GMT" } ]
2019-02-19T00:00:00
[ [ "Kogan", "E.", "" ] ]
quant-ph/0609012
Santosh Shelly Sharma
S. Shelly Sharma and N. K. Sharma
Two-way and three-way negativities of three qubit entangled states
07 pages, 04 figures, References added, text revised and figures revised
Phys. Rev. A 76, 012326 (2007).
10.1103/PhysRevA.76.012326
null
quant-ph
null
We propose to quantify three qubit entanglement using global negativity along with K-way negativities, where K=2 and 3. K-way partial transpose with respect to a subsystem is defined so as to shift the focus to K-way coherences of the composite system instead of K subsystems of the composite system. While genuine tripartite entanglement of three qubit composite system is generated by 3-way coherences, tripartite entanglement can be present due to 2-way coherences as well.
[ { "version": "v1", "created": "Sun, 3 Sep 2006 19:43:38 GMT" }, { "version": "v2", "created": "Thu, 26 Oct 2006 20:35:18 GMT" }, { "version": "v3", "created": "Thu, 4 Jan 2007 23:56:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Sharma", "S. Shelly", "" ], [ "Sharma", "N. K.", "" ] ]
quant-ph/0609013
Vittorio Giovannetti
F. Caruso, V. Giovannetti, A. S. Holevo
One-mode Bosonic Gaussian channels: a full weak-degradability classification
23 pages, 3 figures
New Journal of Physics 8, 310 (2006)
10.1088/1367-2630/8/12/310
null
quant-ph
null
A complete degradability analysis of one-mode Gaussian Bosonic channels is presented. We show that apart from the class of channels which are unitarily equivalent to the channels with additive classical noise, these maps can be characterized in terms of weak- and/or anti-degradability. Furthermore a new set of channels which have null quantum capacity is identified. This is done by exploiting the composition rules of one-mode Gaussian maps and the fact that anti-degradable channels can not be used to transfer quantum information.
[ { "version": "v1", "created": "Sun, 3 Sep 2006 21:52:07 GMT" }, { "version": "v2", "created": "Thu, 14 Dec 2006 08:08:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Caruso", "F.", "" ], [ "Giovannetti", "V.", "" ], [ "Holevo", "A. S.", "" ] ]
quant-ph/0609014
Debashis Gangopadhyay
Debashis Gangopadhyay
The CNOT Quantum Logic Gate Using q-Deformed Oscillators
20 pages, latex, entire paper re-written with more clarity, no change in basic results, format for journal publication
Int. Jour. of Quant. Inform. Vol. 6, No. 3 (2008) 471.
null
null
quant-ph
null
It is shown that the two qubit CNOT (controlled NOT) gate can also be realised using q-deformed angular momentum states via the Jordan-Schwinger mechanism.Thus all the three gates necessary for universality i.e. Hadamard, Phase Shift and the two qubit CNOT gate are realisable with q-deformed oscillators.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 06:18:45 GMT" }, { "version": "v2", "created": "Wed, 16 Apr 2008 09:44:40 GMT" } ]
2008-07-17T00:00:00
[ [ "Gangopadhyay", "Debashis", "" ] ]
quant-ph/0609015
Suresh Tiwari dr
S. C. Tiwari
Nature of the Angular Momentum of Light: Rotational Energy and Geometric Phase
Submitted for publication
null
null
null
quant-ph
null
The nature of intrinsic/extrinsic character of angular momentum is defined in terms of the kind of the associated rotational energy of the light. The salient features of the spin energy of light and photon are highlighted. Spin angular momentum is intrinsic while orbital angular momentum possesses quasi-intrinsicness only if the vortex-like singularities are present. The claimed spin to orbital angular momentum conversion is interpreted in terms of spin redirection geometric phase. It is pointed out that this interpretation validates our angular momentum holonomy conjecture.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 07:37:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Tiwari", "S. C.", "" ] ]
quant-ph/0609016
Marcus Aguiar de
L. Jaubert and M.A.M. de Aguiar
Semiclassical Tunneling of Wavepackets with Real Trajectories
23 pages, 7 figures Revised text and figures
Physica Scripta 75 (2007) 363
10.1088/0031-8949/75/3/023
null
quant-ph
null
Semiclassical approximations for tunneling processes usually involve complex trajectories or complex times. In this paper we use a previously derived approximation involving only real trajectories propagating in real time to describe the scattering of a Gaussian wavepacket by a finite square potential barrier. We show that the approximation describes both tunneling and interferences very accurately in the limit of small Plank's constant. We use these results to estimate the tunneling time of the wavepacket and find that, for high energies, the barrier slows down the wavepacket but that it speeds it up at energies comparable to the barrier height.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 11:17:18 GMT" }, { "version": "v2", "created": "Mon, 27 Nov 2006 17:45:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Jaubert", "L.", "" ], [ "de Aguiar", "M. A. M.", "" ] ]
quant-ph/0609017
Maurice Robert Kibler
Maurice Robert Kibler (IPNL), Mohammed Daoud (IPNL)
Fractional supersymmetry and hierarchy of shape invariant potentials
15 pages; version 2: introduction and conclusion enlarged, acknowledgment added, references added; version 3: one reference added
J.Math.Phys.47:122108,2006
10.1063/1.2401711
null
quant-ph math-ph math.MP
null
Fractional supersymmetric quantum mechanics is developed from a generalized Weyl-Heisenberg algebra. The Hamiltonian and the supercharges of fractional supersymmetric dynamical systems are built in terms of the generators of this algebra. The Hamiltonian gives rise to a hierarchy of isospectral Hamiltonians. Special cases of the algebra lead to dynamical systems for which the isospectral supersymmetric partner Hamiltonians are connected by a (translational or cyclic) shape invariance condition.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 11:21:31 GMT" }, { "version": "v2", "created": "Mon, 11 Sep 2006 07:48:38 GMT" }, { "version": "v3", "created": "Tue, 7 Nov 2006 14:35:59 GMT" } ]
2009-09-29T00:00:00
[ [ "Kibler", "Maurice Robert", "", "IPNL" ], [ "Daoud", "Mohammed", "", "IPNL" ] ]
quant-ph/0609018
Giovanna Ruggeri
Giovanna Ruggeri and Stefano Mancini
Quantum Gaussian Channels with Additive Correlated Classical Noise
null
Quantum Information and Computation 7(3), 265-272 (2007)
null
null
quant-ph
null
We provide a model to study memory effects in quantum Gaussian channels with additive classical noise over an arbitrary number of uses. The correlation among different uses is introduced by contiguous two-mode interactions. Numerical results for few modes are presented. They confirm the possibility to enhance the classical information rate with the aid of entangled inputs, and show a likely asymptotic behavior that should lead to the full capacity of the channel.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 14:05:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Ruggeri", "Giovanna", "" ], [ "Mancini", "Stefano", "" ] ]
quant-ph/0609019
Christoph Westbrook
Christoph I. Westbrook (LCFIO), Martijn Schellekens (LCFIO), Aur\'elien Perrin (LCFIO), Valentina Krachmalnicoff (LCFIO), Jose Carlos Viana Gomes (LCFIO, Departamento De Fisica, Universidade Do Minho), Jean-Baptiste Trebbia (LCFIO), J\'er\^ome Est\`eve (LCFIO), Hong Chang (LCFIO), Isabelle Bouchoule (LCFIO), Denis Boiron (LCFIO), Alain Aspect (LCFIO), Tom Jeltes (LASER Center Vrije Universiteit Amsterdam), John McNamara (LASER Center Vrije Universiteit Amsterdam), Wim Hogervorst (LASER Center Vrije Universiteit Amsterdam), Wim Vassen (LASER Center Vrije Universiteit Amsterdam)
Producing and Detecting Correlated atoms
to appear in conference proceedings "Atomic Physics 20"
AIP Conference Proceedings Vol. 869, Autriche (2006) 181-190
10.1063/1.2400648
null
quant-ph
null
We discuss experiments to produce and detect atom correlations in a degenerate or nearly degenerate gas of neutral atoms. First we treat the atomic analog of the celebrated Hanbury Brown Twiss experiment, in which atom correlations result simply from interference effects without any atom interactions.We have performed this experiment for both bosons and fermions. Next we show how atom interactions produce correlated atoms using the atomic analog of spontaneous four-wavemixing. Finally, we briefly mention experiments on a one dimensional gas on an atom chip in which correlation effects due to both interference and interactions have been observed.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 14:25:04 GMT" } ]
2016-08-16T00:00:00
[ [ "Westbrook", "Christoph I.", "", "LCFIO" ], [ "Schellekens", "Martijn", "", "LCFIO" ], [ "Perrin", "Aurélien", "", "LCFIO" ], [ "Krachmalnicoff", "Valentina", "", "LCFIO" ], [ "Gomes", "Jose Carlos Viana", "", "LCFIO, Departamento De Fisica, Universidade Do Minho" ], [ "Trebbia", "Jean-Baptiste", "", "LCFIO" ], [ "Estève", "Jérôme", "", "LCFIO" ], [ "Chang", "Hong", "", "LCFIO" ], [ "Bouchoule", "Isabelle", "", "LCFIO" ], [ "Boiron", "Denis", "", "LCFIO" ], [ "Aspect", "Alain", "", "LCFIO" ], [ "Jeltes", "Tom", "", "LASER Center Vrije Universiteit Amsterdam" ], [ "McNamara", "John", "", "LASER Center Vrije Universiteit Amsterdam" ], [ "Hogervorst", "Wim", "", "LASER\n Center Vrije Universiteit Amsterdam" ], [ "Vassen", "Wim", "", "LASER Center Vrije\n Universiteit Amsterdam" ] ]
quant-ph/0609020
Paolo Perinotti Dr.
G. M. D'Ariano, R. Demkowicz-Dobrzanski, P. Perinotti, and M. F. Sacchi
The Quantum Cocktail Party
4 pages, 2figures, revtex4
null
10.1103/PhysRevLett.99.070501
null
quant-ph
null
We consider the problem of decorrelating states of coupled quantum systems. The decorrelation can be seen as separation of quantum signals, in analogy to the classical problem of signal-separation rising in the so-called cocktail-party context. The separation of signals cannot be achieved perfectly, and we analyse the optimal decorrelation map in terms of added noise in the local separated states. Analytical results can be obtained both in the case of two-level quantum systems and for Gaussian states of harmonic oscillators.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 15:15:23 GMT" } ]
2013-05-29T00:00:00
[ [ "D'Ariano", "G. M.", "" ], [ "Demkowicz-Dobrzanski", "R.", "" ], [ "Perinotti", "P.", "" ], [ "Sacchi", "M. F.", "" ] ]
quant-ph/0609021
Charis Anastopoulos
C. Anastopoulos and N. Savvidou
Quantum probabilities for time-extended measurements
17 pages, latex
J. Math. Phys. 48, 032106 (2007).
10.1063/1.2713078
null
quant-ph
null
We study the probability assignment for the outcomes of time-extended measurements. We construct the class-operator that incorporates the information about a generic time-smeared quantity. These class-operators are employed for the construction of Positive-Operator-Valued-Measures for the time-averaged quantities. The scheme highlights the distinction between velocity and momentum in quantum theory. Propositions about velocity and momentum are represented by different class-operators, hence they define different probability measures. We provide some examples, we study the classical limit and we construct probabilities for generalized time-extended phase space variables.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 17:33:29 GMT" } ]
2015-06-26T00:00:00
[ [ "Anastopoulos", "C.", "" ], [ "Savvidou", "N.", "" ] ]
quant-ph/0609022
Davide Rossini
Davide Rossini, Vittorio Giovannetti, Rosario Fazio
Information transfer rates in spin quantum channels
9 pages, 7 figures
Int. J. Quant. Inf. 5, 439 (2007)
10.1142/S0219749907002992
null
quant-ph
null
We analyze the communication efficiency of quantum information transfer along unmodulated spin chains by computing the communication rates of various protocols. The effects of temporal correlations are discussed, showing that they can be exploited to boost the transmission efficiency.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 17:40:31 GMT" }, { "version": "v2", "created": "Wed, 13 Sep 2006 08:19:28 GMT" } ]
2011-11-09T00:00:00
[ [ "Rossini", "Davide", "" ], [ "Giovannetti", "Vittorio", "" ], [ "Fazio", "Rosario", "" ] ]
quant-ph/0609023
Manuel Asorey
M. Asorey, A. Ibort and G. Marmo
Path integrals and boundary conditions
10 pages, 1 figure. Proceedings of the Meeting on Fundamental Physics 'A. Galindo', Eds. R.F. Alvarez-Estrada et al, Madrid (2004)
null
null
null
quant-ph hep-th
null
The path integral approach to quantum mechanics provides a method of quantization of dynamical systems directly from the Lagrange formalism. In field theory the method presents some advantages over Hamiltonian quantization. The Lagrange formalism preserves relativistic covariance which makes the Feynman method very convenient to achieve the renormalization of field theories both in perturbative and non-perturbative approaches. However, when the systems are confined in bounded domains we shall show that the path integral approach does not describe the most general type of boundary conditions. Highly non-local boundary conditions cannot be described by Feynman's approach. We analyse in this note the origin of this problem in quantum mechanics and its implications for field theory.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 18:45:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Asorey", "M.", "" ], [ "Ibort", "A.", "" ], [ "Marmo", "G.", "" ] ]
quant-ph/0609024
Florian Mintert
Florian Mintert
Concurrence via entanglement witnesses
null
null
10.1103/PhysRevA.75.052302
null
quant-ph
null
We derive an experimentally observable lower bound on concurrence of mixed quantum states in terms of an entanglement witness, relating measurements on single states with those on two copies.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 19:22:27 GMT" }, { "version": "v2", "created": "Tue, 5 Sep 2006 13:51:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Mintert", "Florian", "" ] ]
quant-ph/0609025
Oo-Kaw Lim
O.-K. Lim, B. Boland, and M. Saffman
Observation of twin beam correlations and quadrature entanglement by frequency doubling in a two-port resonator
5 pages, 7 figures
Europhys. Lett. 78, 40004 (2007)
10.1209/0295-5075/78/40004
null
quant-ph
null
We demonstrate production of quantum correlated and entangled beams by second harmonic generation in a nonlinear resonator with two output ports. The output beams at wavelength 428.5 nm exhibit 0.9 dB of nonclassical intensity correlations and 0.3 dB of entanglement.
[ { "version": "v1", "created": "Mon, 4 Sep 2006 19:40:15 GMT" } ]
2012-06-05T00:00:00
[ [ "Lim", "O. -K.", "" ], [ "Boland", "B.", "" ], [ "Saffman", "M.", "" ] ]
quant-ph/0609026
Jian-Ming Cai
Jian-Ming Cai, Zheng-Wei Zhou, and Guang-Can Guo
Fidelity, entanglement, and information complementarity relation
5 pages, 3 figures
Phys. Lett. A 363, 392 (2007)
10.1016/j.physleta.2006.11.067
null
quant-ph
null
We investigate the dynamics of information in isolated multi-qubit systems. It is shown that information is in not only local form but also nonlocal form. We apply a measure of local information based on fidelity, and demonstrate that nonlocal information can be directly related to some appropriate well defined entanglement measures. Under general unitary transformations, local and nonlocal information will exhibit unambiguous complementary behavior with the total information conserved.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 01:52:43 GMT" }, { "version": "v2", "created": "Mon, 18 Dec 2006 13:07:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Cai", "Jian-Ming", "" ], [ "Zhou", "Zheng-Wei", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0609027
Jian-Ming Cai
Jian-Ming Cai, Zheng-Wei Zhou, Xing-Xiang Zhou, and Guang-Can Guo
Information-Theoretic Measure of Genuine Multi-Qubit Entanglement
5 pages, 2 figures
Phys. Rev. A 74, 042338 (2006)
10.1103/PhysRevA.74.042338
null
quant-ph
null
We consider pure quantum states of N qubits and study the genuine N-qubit entanglement that is shared among all the N qubits. We introduce an information-theoretic measure of genuine N-qubit entanglement based on bipartite partitions. When N is an even number, this measure is presented in a simple formula, which depends only on the purities of the partially reduced density matrices. It can be easily computed theoretically and measured experimentally. When N is an odd number, the measure can also be obtained in principle.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 01:48:57 GMT" }, { "version": "v2", "created": "Thu, 7 Sep 2006 06:28:11 GMT" }, { "version": "v3", "created": "Fri, 8 Sep 2006 01:46:01 GMT" }, { "version": "v4", "created": "Sun, 10 Sep 2006 03:22:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Cai", "Jian-Ming", "" ], [ "Zhou", "Zheng-Wei", "" ], [ "Zhou", "Xing-Xiang", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0609028
Dan Kenigsberg
Dan Kenigsberg and Tal Mor
Secure Controlled Teleportation
3 pages, presented as a poster in AQIS'06, where A. Winter suggested considerable improvements to the main result (these suggestions are not included in this version)
null
null
null
quant-ph cs.CR
null
Several protocols for controlled teleportation were suggested by Yang, Chu, and Han [PRA 70, 022329 (2004)]. In these protocols, Alice teleports qubits (in an unknown state) to Bob iff a controller allows it. We view this problem in the perspective of secure multi-party quantum computation. We show that the suggested entanglement-efficient protocols for $m$-qubit controlled teleportation are open to cheating; Alice and Bob may teleport $(m-1)$-qubits of quantum information, out of the controllers' control. We conjecture that the straightforward protocol for controlled teleportation, which requires each controller to hold $m$ entangled qubits, is optimal. We prove this conjecture for a limited, but interesting, subset of protocols.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 03:53:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Kenigsberg", "Dan", "" ], [ "Mor", "Tal", "" ] ]
quant-ph/0609029
Nikolai K. Solovarov
N. K. Solovarov
Anzatz of quantum correlation and disentanglement problem
Lectures, 18th Summer School-Seminar on Recent Problems in Theoretical and Mathematical Physics VOLGA-2006, 22.08-03.09, 2006, Kazan, Russia
in Recent Problems in Field Theory, ed. by A.V. Aminova, Kazan University Press, Kazan, 2007, pp. 212-229.
null
null
quant-ph
null
Pedagogical introduction into the problem of the mathematical description of the quantum correlation (entanglement) of composite quantum systems is represented. The notion is substantiated about the fact that the conventional algorithm of the reduction of von Neumann in the description of the dynamics of the observed subsyatem is not universal and corresponds only to the case of maximum macroscopicity of the unobservable subsystem. Is clearly shown the sense of the algorithm of the correlated reduction proposed, which minimally changes the entropy of composite system.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 08:55:01 GMT" } ]
2007-10-02T00:00:00
[ [ "Solovarov", "N. K.", "" ] ]
quant-ph/0609030
Christoph Simon
Christoph Simon, Yann-Michel Niquet, Xavier Caillet, Joel Eymery, Jean-Philippe Poizat and Jean-Michel Gerard
Quantum Communication with Quantum Dot Spins
4 pages, 2 figures, new and improved version, explicit performance estimates
Phys. Rev. B 75, 081302(R) (2007)
10.1103/PhysRevB.75.081302
null
quant-ph cond-mat.mes-hall
null
Single electron spins in quantum dots are attractive for quantum communication because of their expected long coherence times. We propose a method to create entanglement between two remote spins based on the coincident detection of two photons emitted by the dots. Local nodes of several qubits can be realized using the dipole-dipole interaction between trions in neighboring dots and spectral addressing, allowing the realization of quantum repeater protocols. We have performed a detailed feasibility study of our proposal based on tight-binding calculations of quantum dot properties.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 08:55:52 GMT" }, { "version": "v2", "created": "Fri, 24 Nov 2006 12:19:46 GMT" } ]
2015-06-26T00:00:00
[ [ "Simon", "Christoph", "" ], [ "Niquet", "Yann-Michel", "" ], [ "Caillet", "Xavier", "" ], [ "Eymery", "Joel", "" ], [ "Poizat", "Jean-Philippe", "" ], [ "Gerard", "Jean-Michel", "" ] ]
quant-ph/0609031
Emil Persson Dr
E. Persson, S. F\"urthauer, S. Wimberger, J. Burgd\"orfer
Transient localization in the kicked Rydberg atom
null
Phys Rev A 74 (2006)
10.1103/PhysRevA.74.053417
null
quant-ph
null
We investigate the long-time limit of quantum localization of the kicked Rydberg atom. The kicked Rydberg atom is shown to possess in addition to the quantum localization time $\tau_L$ a second cross-over time $t_D$ where quantum dynamics diverges from classical dynamics towards increased instability. The quantum localization is shown to vanish as either the strength of the kicks at fixed principal quantum number or the quantum number at fixed kick strength increases. The survival probability as a function of frequency in the transient localization regime $\tau_L<t<t_D$ is characterized by highly irregular, fractal-like fluctuations.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 09:51:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Persson", "E.", "" ], [ "Fürthauer", "S.", "" ], [ "Wimberger", "S.", "" ], [ "Burgdörfer", "J.", "" ] ]
quant-ph/0609032
Dorje C. Brody
Carl M. Bender, Dorje C. Brody, Hugh F. Jones, and Bernhard K. Meister
Faster than Hermitian Quantum Mechanics
4 pages
Phys.Rev.Lett.98:040403,2007
10.1103/PhysRevLett.98.040403
null
quant-ph hep-th
null
Given an initial quantum state |psi_I> and a final quantum state |psi_F> in a Hilbert space, there exist Hamiltonians H under which |psi_I> evolves into |psi_F>. Consider the following quantum brachistochrone problem: Subject to the constraint that the difference between the largest and smallest eigenvalues of H is held fixed, which H achieves this transformation in the least time tau? For Hermitian Hamiltonians tau has a nonzero lower bound. However, among non-Hermitian PT-symmetric Hamiltonians satisfying the same energy constraint, tau can be made arbitrarily small without violating the time-energy uncertainty principle. This is because for such Hamiltonians the path from |psi_I> to |psi_F> can be made short. The mechanism described here is similar to that in general relativity in which the distance between two space-time points can be made small if they are connected by a wormhole. This result may have applications in quantum computing.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 18:19:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Bender", "Carl M.", "" ], [ "Brody", "Dorje C.", "" ], [ "Jones", "Hugh F.", "" ], [ "Meister", "Bernhard K.", "" ] ]
quant-ph/0609033
Magdalena Stobi\'nska
Nicolai B. Grosse, Thomas Symul, Magdalena Stobi\'nska, Timothy C. Ralph, Ping Koy Lam
Measuring photon anti-bunching from continuous variable sideband squeezing
4 pages, 4 figures
Phys. Rev. Lett. 98, 153603 (2007)
10.1103/PhysRevLett.98.153603
null
quant-ph
null
We present a technique for measuring the second-order coherence function $g^{(2)}(\tau)$ of light using a Hanbury-Brown Twiss intensity interferometer modified for homodyne detection. The experiment was performed entirely in the continuous variable regime at the sideband frequency of a bright carrier field. We used the setup to characterize $g^{(2)}(\tau)$ for thermal and coherent states, and investigated its immunity to optical loss. We measured $g^{(2)}(\tau)$ of a displaced squeezed state, and found a best anti-bunching statistic of $g^{(2)}(0) = 0.11 \pm 0.18$.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 14:15:12 GMT" } ]
2010-05-04T00:00:00
[ [ "Grosse", "Nicolai B.", "" ], [ "Symul", "Thomas", "" ], [ "Stobińska", "Magdalena", "" ], [ "Ralph", "Timothy C.", "" ], [ "Lam", "Ping Koy", "" ] ]
quant-ph/0609034
Roger Colbeck
Roger Colbeck
An Entanglement-Based Protocol For Strong Coin Tossing With Bias 1/4
4 pages, no figures. Title changed, and paragraph "Additional Notes" added
Physics Letters A, Volume 362, Issues 5-6, 12 March 2007, Pages 390-392
10.1016/j.physleta.2006.10.062
null
quant-ph
null
In the literature, strong coin tossing protocols based on bit commitment have been proposed. Here we examine a protocol that instead tries to achieve the task by sharing entanglement securely. The protocol uses only qubits, and has bias 1/4. This is equal to the best known bias for bit commitment based schemes.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 16:24:25 GMT" }, { "version": "v2", "created": "Mon, 5 Feb 2007 13:02:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Colbeck", "Roger", "" ] ]
quant-ph/0609035
Viv Kendon
Viv Kendon
A random walk approach to quantum algorithms
14 pages, 4 figures, introductory level, to appear in 2006 Triennial Issue of Phil. Trans. R. Soc. A
Phil. Trans. R. Soc. A (2006) 364, 3407-3422
10.1098/rsta.2006.1901
null
quant-ph
null
The development of quantum algorithms based on quantum versions of random walks is placed in the context of the emerging field of quantum computing. Constructing a suitable quantum version of a random walk is not trivial: pure quantum dynamics is deterministic, so randomness only enters during the measurement phase, i.e., when converting the quantum information into classical information. The outcome of a quantum random walk is very different from the corresponding classical random walk, due to interference between the different possible paths. The upshot is that quantum walkers find themselves further from their starting point on average than a classical walker, and this forms the basis of a quantum speed up that can be exploited to solve problems faster. Surprisingly, the effect of making the walk slightly less than perfectly quantum can optimize the properties of the quantum walk for algorithmic applications. Looking to the future, with even a small quantum computer available, development of quantum walk algorithms might proceed more rapidly than it has, especially for solving real problems.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 19:09:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Kendon", "Viv", "" ] ]
quant-ph/0609036
Jiangbin Gong
Jiangbin Gong and Paul Brumer
Generic Quantum Ratchet Accelerator with Full Classical Chaos
4 pages, 4 figures
Phys. Rev. Lett. 97, 240602 (2006)
10.1103/PhysRevLett.97.240602
null
quant-ph nlin.CD
null
A simple model of quantum ratchet transport that can generate unbounded linear acceleration of the quantum ratchet current is proposed, with the underlying classical dynamics fully chaotic. The results demonstrate that generic acceleration of quantum ratchet transport can occur with any type of classical phase space structure. The quantum ratchet transport with full classical chaos is also shown to be very robust to noise due to the large linear acceleration afforded by the quantum dynamics. One possible experiment allowing observation of these predictions is suggested.
[ { "version": "v1", "created": "Tue, 5 Sep 2006 20:38:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Gong", "Jiangbin", "" ], [ "Brumer", "Paul", "" ] ]
quant-ph/0609037
Thomas Schulte-Herbr\"uggen
T. Schulte-Herbrueggen, A. Spoerl, N. Khaneja, and S.J. Glaser
Optimal Control for Generating Quantum Gates in Open Dissipative Systems
largely expanded version, superseedes v1: 10 pages, 5 figures
J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 154013
10.1088/0953-4075/44/15/154013
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Optimal control methods for implementing quantum modules with least amount of relaxative loss are devised to give best approximations to unitary gates under relaxation. The potential gain by optimal control using relaxation parameters against time-optimal control is explored and exemplified in numerical and in algebraic terms: it is the method of choice to govern quantum systems within subspaces of weak relaxation whenever the drift Hamiltonian would otherwise drive the system through fast decaying modes. In a standard model system generalising decoherence-free subspaces to more realistic scenarios, openGRAPE-derived controls realise a CNOT with fidelities beyond 95% instead of at most 15% for a standard Trotter expansion. As additional benefit it requires control fields orders of magnitude lower than the bang-bang decouplings in the latter.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 17:16:33 GMT" }, { "version": "v2", "created": "Sun, 17 May 2009 10:42:02 GMT" } ]
2011-08-17T00:00:00
[ [ "Schulte-Herbrueggen", "T.", "" ], [ "Spoerl", "A.", "" ], [ "Khaneja", "N.", "" ], [ "Glaser", "S. J.", "" ] ]
quant-ph/0609038
Timothy C. Ralph
T. C. Ralph
Quantum Optical Systems for the Implementation of Quantum Information Processing
null
Rep. Prog. Phys. 69, 853-898 (2006)
10.1088/0034-4885/69/4/R01
null
quant-ph
null
We review the field of Quantum Optical Information from elementary considerations through to quantum computation schemes. We illustrate our discussion with descriptions of experimental demonstrations of key communication and processing tasks from the last decade and also look forward to the key results likely in the next decade. We examine both discrete (single photon) type processing as well as those which employ continuous variable manipulations. The mathematical formalism is kept to the minimum needed to understand the key theoretical and experimental results.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 06:58:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Ralph", "T. C.", "" ] ]
quant-ph/0609039
Masato Morifuji
Masato Morifuji
Coherent Spin Dynamics into Space Quantization
5 pages, 5 figures
null
null
null
quant-ph
null
We propose a mechanism to describe how a physical quantity, which initially can take continuous values, is restricted within some discrete values after a measurement. As an example of the present theory, in which interplay between coherence of motion and fluctuation from disturbance plays an important role, we investigate motion of a spin state in a magnetic field. First, we point out that discrete eigenstates are formed from continuous states as a result of coherence of precession motion of a spin. Next, by assuming disturbance from environmental electromagnetic fields, we investigate temporal change of direction of a spin state by applying the first order perturbation theory and the Monte Carlo technique. Results of simulations show that the spins, whose directions are randomly distributed at the initial time, are reoriented toward only two directions due to fluctuation guided by coherence.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 06:54:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Morifuji", "Masato", "" ] ]
quant-ph/0609040
John Gough
J. Gough
Quantum White Noise and the Master Equation for Gaussian Reference States
8 pages, no pictures
Russ. Journ. Math. Phys., 10, No.2, 142-148, 2003
null
null
quant-ph
null
We modify the Araki-Woods double Fock space construction in order to describe general squeezed Gaussian states and use this to represent squeezed quantum stochastic noise processes. Associated master equations are derived.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 07:42:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Gough", "J.", "" ] ]
quant-ph/0609041
Patrizia Vitale
Olga V. Man'ko, Vladimir I. Man'ko, Giuseppe Marmo, Patrizia Vitale
Star products, duality and double Lie algebras
22 pages, no figures
Phys.Lett. A360 (2007) 522-532
10.1016/j.physleta.2006.08.057
null
quant-ph
null
Quantization of classical systems using the star-product of symbols of observables is discussed. In the star-product scheme an analysis of dual structures is performed and a physical interpretation is proposed. At the Lie algebra level duality is shown to be connected to double Lie algebras. The analysis is specified to quantum tomography. The classical tomographic Poisson bracket is found.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 07:46:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Man'ko", "Olga V.", "" ], [ "Man'ko", "Vladimir I.", "" ], [ "Marmo", "Giuseppe", "" ], [ "Vitale", "Patrizia", "" ] ]
quant-ph/0609042
Apoorva Patel
Apoorva D. Patel
Wave Algorithms: Optimal Database Search and Catalysis
12 pages, 4 figures, AIP proceedings style. Invited talk at the conference "Quantum Computing: BackAction 2006", IIT Kanpur, India, March 2006. (v2) Error in Eqs.(10,11) corrected by replacing \omega by \omega^2. No change in implementation and application
AIP Conference Proceedings 864 (2006) 261-272
10.1063/1.2400898
null
quant-ph
null
Grover's database search algorithm, although discovered in the context of quantum computation, can be implemented using any physical system that allows superposition of states. A physical realization of this algorithm is described using coupled simple harmonic oscillators, which can be exactly solved in both classical and quantum domains. Classical wave algorithms are far more stable against decoherence compared to their quantum counterparts. In addition to providing convenient demonstration models, they may have a role in practical situations, such as catalysis.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 09:59:29 GMT" }, { "version": "v2", "created": "Wed, 20 Dec 2006 08:59:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Patel", "Apoorva D.", "" ] ]
quant-ph/0609043
Mario Stip\v{c}evi\'c
M. Stipcevic, B. Medved Rogina
Quantum random number generator based on photonic emission in semiconductors
7 pages, 7 figures
Rev. Sci. Instrum. 78 , 045104,1-7 (2007)
10.1063/1.2720728
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report upon a novel principle for realization of a fast nondeterministic random number generator whose randomness relies on intrinsic randomness of the quantum physical processes of photonic emission in semiconductors and subsequent detection by the photoelectric effect. Timing information of detected photons is used to generate binary random digits-bits. The bit extraction method based on restartable clock theoretically eliminates both bias and autocorrelation while reaching efficiency of almost 0.5 bits per random event. A prototype has been built and statistically tested.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 11:46:19 GMT" }, { "version": "v2", "created": "Mon, 1 Jan 2007 18:45:24 GMT" }, { "version": "v3", "created": "Sat, 16 Dec 2017 14:22:27 GMT" } ]
2017-12-19T00:00:00
[ [ "Stipcevic", "M.", "" ], [ "Rogina", "B. Medved", "" ] ]
quant-ph/0609044
Razmik Unanyan
R.G. Unanyan, M. Fleischhauer and D. Bruss
Entanglement of Collectively Interacting Harmonic Chains
5 pages, 1 figure
Phys.Rev. A 75 040302 (R) 2007
10.1103/PhysRevA.75.040302
null
quant-ph
null
We study the ground-state entanglement of one-dimensional harmonic chains that are coupled to each other by a collective interaction as realized e.g. in an anisotropic ion crystal. Due to the collective type of coupling, where each chain interacts with every other one in the same way,the total system shows critical behavior in the direction orthogonal to the chains while the isolated harmonic chains can be gapped and non-critical. We derive lower and most importantly upper bounds for the entanglement,quantified by the von Neumann entropy, between a compact block of oscillators and its environment. For sufficiently large size of the subsystems the bounds coincide and show that the area law for entanglement is violated by a logarithmic correction.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 13:15:11 GMT" }, { "version": "v2", "created": "Wed, 10 Jan 2007 08:23:45 GMT" }, { "version": "v3", "created": "Mon, 26 Mar 2007 15:58:00 GMT" } ]
2013-05-29T00:00:00
[ [ "Unanyan", "R. G.", "" ], [ "Fleischhauer", "M.", "" ], [ "Bruss", "D.", "" ] ]
quant-ph/0609045
Marco Genovese
Partha Ghose
On Entangled Multiparticle Systems in Bohmian Theory
null
null
null
null
quant-ph
null
Arguments are presented to show that the Bohmianian programme cannot be implemented for entangled multiparticle systems in general, analogous to the case of many-particle systems in classical mechanics. We give two examples.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 13:26:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Ghose", "Partha", "" ] ]
quant-ph/0609046
Paolo Perinotti Dr.
G. M. D'Ariano, P. Perinotti, and M. F. Sacchi
Superbroadcasting of harmonic oscillators mixed states
9 pages, 1 figure, revtex4, to appear in the Proceedings of ICQO2006, Minsk, May 2006
Optics and Spectroscopy 103, 170 (2007)
10.1134/S0030400X07070259
null
quant-ph
null
We consider the problem of broadcasting quantum information encoded in the displacement parameter for an harmonic oscillator, from N to M>N copies of a thermal state. We show the Weyl-Heisenberg covariant broadcasting map that optimally reduces the thermal photon number, and we prove that it minimizes the noise in conjugate quadratures at the output for general input states. We find that from two input copies broadcasting is feasible, with the possibility of simultaneous purification (superbroadcasting).
[ { "version": "v1", "created": "Wed, 6 Sep 2006 13:36:26 GMT" } ]
2009-11-13T00:00:00
[ [ "D'Ariano", "G. M.", "" ], [ "Perinotti", "P.", "" ], [ "Sacchi", "M. F.", "" ] ]
quant-ph/0609047
Robert J. C. Spreeuw
Robert J. C. Spreeuw and Tom W. Hijmans
Robust quantum searching with spontaneously decaying qubits
4 pages, 4 figures v2: modified title, abstract, and introduction; some extra refs v3: considerable revision, extended data range to 36 qubits, added an appendix with the re-expressed master equation. Now 6 pages. v4: few final tweaks
Phys. Rev. A 76, 022306 (2007)
10.1103/PhysRevA.76.022306
null
quant-ph
null
We present a modification of the standard single-item quantum search procedure that acquires robustness from spontaneous decay of the qubits. This damps the usual oscillation of populations, driving the system to a steady state with a strongly enhanced population of the solution. Numerical evaluation of the steady state was performed for up to 36 qubits. The huge size of the state space in our analysis is dealt with by exploiting a symmetry in the master equation that reduces the scaling of computer resources from exponential to polynomial. Based on these results we estimate that an error-free solution can be retrieved from the steady state after O(log log N) repetitions, with near-unit probability. This brings the overall scaling to O(sqrt{N} log log N), only slightly worse than for the ideal quantum case.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 13:50:52 GMT" }, { "version": "v2", "created": "Thu, 21 Dec 2006 10:16:01 GMT" }, { "version": "v3", "created": "Wed, 13 Jun 2007 02:43:03 GMT" }, { "version": "v4", "created": "Fri, 29 Jun 2007 08:48:33 GMT" } ]
2011-11-09T00:00:00
[ [ "Spreeuw", "Robert J. C.", "" ], [ "Hijmans", "Tom W.", "" ] ]
quant-ph/0609048
Paul Busch
Paul Busch and Christopher R. Shilladay
Complementarity and Uncertainty in Mach-Zehnder Interferometry and beyond
null
Physics Reports 435 (2006) 1-31
10.1016/j.physrep.2006.09.001
null
quant-ph
null
A coherent account of the connections and contrasts between the principles of com- plementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by means of a set of experimental schemes based on Mach-Zehnder interferometry. In particu- lar, path detection via entanglement with a probe system and (quantitative) quan- tum erasure are exhibited to constitute instances of joint unsharp measurements of complementary pairs of physical quantities, path and interference observables. The analysis uses the representation of observables as positive-operator-valued measures (POVMs). The reconciliation of complementary experimental options in the sense of simultaneous unsharp preparations and measurements is expressed in terms of uncertainty relations of different kinds. The feature of complementarity, manifest in the present examples in the mutual exclusivity of path detection and interference observation, is recovered as a limit case from the appropriate uncertainty relation. It is noted that the complementarity and uncertainty principles are neither completely logically independent nor logical consequences of one another. Since entanglement is an instance of the uncertainty of quantum properties (of compound systems), it is moot to play out uncertainty and entanglement against each other as possible mechanisms enforcing complementarity.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 14:13:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Busch", "Paul", "" ], [ "Shilladay", "Christopher R.", "" ] ]
quant-ph/0609049
Marco Genovese
N. Antonietti, M. Mondin, G. Brida, M. Genovese
On the numerical characterization of atmospheric effects on an Earth-Space quantum communication channel
published version
International Journal of Quantum Information, 5 (2007) 241
10.1117/12.696397
null
quant-ph
null
Earth-Space quantum communication is the next challenge of telecommunications. As long as we want to know the outcome of a quantum communication by means of single photons, we have to face the interaction between a single photon and the atmosphere. In this brief article, we want to report some preliminary simulation results for realistic and generic atmospheric conditions.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 15:39:35 GMT" }, { "version": "v2", "created": "Mon, 21 May 2007 08:31:40 GMT" } ]
2015-06-26T00:00:00
[ [ "Antonietti", "N.", "" ], [ "Mondin", "M.", "" ], [ "Brida", "G.", "" ], [ "Genovese", "M.", "" ] ]
quant-ph/0609050
Debasis Sarkar
Indrani Chattopadhyay and Debasis Sarkar
NPT Bound Entanglement- The Problem Revisited
9 pagex, latex format, extended version, new materials added, comments and criticisms welcome
null
null
null
quant-ph
null
Recently [quant-ph/0608250] again created a lot of interest to prove the existence of bound entangled states with negative partial transpose (NPT) in any $d \times d (d \geq 3)$ Hilbert space. However the proof in quant-ph/0608250 is not complete but it shows some interesting properties of the Schmidt rank two states. In this work we are trying to probe the problem in a different angle considering the work by D\"{u}r et.al [Phys. Rev. A, 61, 062313(2000)]. We have assumed that the Schmidt rank two states should satisfy some bounds. Under some assumptions with these bounds one could prove the existence of NPT bound entangled states. We particularly discuss the case of two copy undistillability of the conjectured family of NPT states. Obviously the class of NPT bound entangled states belong to the class of conjectured to be bound entangled states by Divincenzo et.al [Phys. Rev. A, 61, 062312(2000)] and by D\"{u}r et.al [Phys. Rev. A, 61, 062313(2000)]. However the problem of existence of NPT bound entangled states still remain open.
[ { "version": "v1", "created": "Wed, 6 Sep 2006 20:16:04 GMT" }, { "version": "v2", "created": "Mon, 11 Sep 2006 18:49:13 GMT" }, { "version": "v3", "created": "Mon, 18 Sep 2006 15:05:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Chattopadhyay", "Indrani", "" ], [ "Sarkar", "Debasis", "" ] ]
quant-ph/0609051
Jens Eisert
J. Eisert
Computational Difficulty of Global Variations in the Density Matrix Renormalization Group
5 pages, 1 figure, RevTeX, final version
Phys. Rev. Lett. 97, 260501 (2006)
10.1103/PhysRevLett.97.260501
null
quant-ph cond-mat.stat-mech math-ph math.MP
null
The density matrix renormalization group (DMRG) approach is arguably the most successful method to numerically find ground states of quantum spin chains. It amounts to iteratively locally optimizing matrix-product states, aiming at better and better approximating the true ground state. To date, both a proof of convergence to the globally best approximation and an assessment of its complexity are lacking. Here we establish a result on the computational complexity of an approximation with matrix-product states: The surprising result is that when one globally optimizes over several sites of local Hamiltonians, avoiding local optima, one encounters in the worst case a computationally difficult NP-hard problem (hard even in approximation). The proof exploits a novel way of relating it to binary quadratic programming. We discuss intriguing ramifications on the difficulty of describing quantum many-body systems.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 08:21:05 GMT" }, { "version": "v2", "created": "Thu, 26 Oct 2006 19:14:03 GMT" }, { "version": "v3", "created": "Tue, 9 Jan 2007 20:58:06 GMT" } ]
2015-06-26T00:00:00
[ [ "Eisert", "J.", "" ] ]
quant-ph/0609052
G\'eza T\'oth
Geza Toth, Juan Jose Garcia-Ripoll
Efficient algorithm for multi-qudit twirling for ensemble quantum computation
11 pages including 6 figures, revtex4; v2: presentation improved, sections VI and VII added; v3: small changes before publication
Phys. Rev. A 75, 042311 (2007)
10.1103/PhysRevA.75.042311
null
quant-ph
null
We present an efficient algorithm for twirling a multi-qudit quantum state. The algorithm can be used for approximating the twirling operation in an ensemble of physical systems in which the systems cannot be individually accessed. It can also be used for computing the twirled density matrix on a classical computer. The method is based on a simple non-unitary operation involving a random unitary. When applying this basic building block iteratively, the mean squared error of the approximation decays exponentially. In contrast, when averaging over random unitary matrices the error decreases only algebraically. We present evidence that the unitaries in our algorithm can come from a very imperfect random source or can even be chosen deterministically from a set of cyclically alternating matrices. Based on these ideas we present a quantum circuit realizing twirling efficiently.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 19:06:30 GMT" }, { "version": "v2", "created": "Tue, 5 Dec 2006 10:09:43 GMT" }, { "version": "v3", "created": "Thu, 26 Apr 2007 15:13:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Toth", "Geza", "" ], [ "Garcia-Ripoll", "Juan Jose", "" ] ]
quant-ph/0609053
Dirk Englund
Dirk Englund, Andrei Faraon, Bingyang Zhang, Yoshihisa Yamamoto, Jelena Vuckovic
Generation and transfer of single photons on a photonic crystal chip
9 pages, 6 figures
null
10.1364/OE.15.005550
null
quant-ph
null
We present a basic building block of a quantum network consisting of a quantum dot coupled to a source cavity, which in turn is coupled to a target cavity via a waveguide. The single photon emission from the high-Q/V source cavity is characterized by a twelve-fold spontaneous emission (SE) rate enhancement that results in a SE coupling efficiency near 0.98 into the source cavity mode. Single photons are efficiently transferred into the target cavity through the waveguide, with a source/target field intensity ratio of 0.12 (up to 0.49 observed in other structures without coupled quantum dots). This system shows great promise as a building block of future on-chip quantum information processing systems.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 17:38:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Englund", "Dirk", "" ], [ "Faraon", "Andrei", "" ], [ "Zhang", "Bingyang", "" ], [ "Yamamoto", "Yoshihisa", "" ], [ "Vuckovic", "Jelena", "" ] ]
quant-ph/0609054
Koji Usami
Koji Usami, Jun-ichi Takahashi, and Mikio Kozuma
How to Measure the Quantum State of Collective Atomic Spin Excitation
6 pages, to appear in Phys. Rev. A
Phys. Rev. A 74, 043815 (2006)
10.1103/PhysRevA.74.043815
null
quant-ph
null
The spin state of an atomic ensemble can be viewed as two bosonic modes, i.e., a quantum signal mode and a $c$-numbered ``local oscillator'' mode when large numbers of spin-1/2 atoms are spin-polarized along a certain axis and collectively manipulated within the vicinity of the axis. We present a concrete procedure which determines the spin-excitation-number distribution, i.e., the diagonal elements of the density matrix in the Dicke basis for the collective spin state. By seeing the collective spin state as a statistical mixture of the inherently-entangled Dicke states, the physical picture of its multi-particle entanglement is made clear.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 00:05:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Usami", "Koji", "" ], [ "Takahashi", "Jun-ichi", "" ], [ "Kozuma", "Mikio", "" ] ]
quant-ph/0609055
Umesh Vijayashanker
A. R. Usha Devi (1), R. Prabhu (1)(Department of Physics, Bangalore University.), and A. K. Rajagopal (2)(Department of Computer Science and Center for Quantum Studies, George Mason University and Inspire Institute Inc., McLean.)
Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices
4 pages, no figures, RevTeX, Improved presentation
Phys. Rev. Lett. 98, 060501 (2007)
10.1103/PhysRevLett.98.060501
null
quant-ph
null
We show that higher order inter-group covariances involving even number of qubits are necessarily positive semidefinite for N qubit separable states, which are completely symmetric under permutations of the qubits. This identification leads to a family of sufficient conditions of inseparability based on the negativity of 2kth order inter-group covariance matrices of symmetric N-qubit systems. These conditions have a simple structure and detect entanglement in all even partitions of the symmetric multiqubit system. The observables involved are feasible experimental quantities and do not demand full state determination through quantum state tomography.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 05:51:42 GMT" }, { "version": "v2", "created": "Mon, 30 Oct 2006 08:50:58 GMT" }, { "version": "v3", "created": "Mon, 12 Feb 2007 15:22:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Devi", "A. R. Usha", "" ], [ "Prabhu", "R.", "" ], [ "Rajagopal", "A. K.", "" ] ]
quant-ph/0609056
Serguey Mayburov NN
S.Mayburov
Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization
Latex, 15 pages, Talk given on 'Foundations of Physics and Computations' Conference, Udine, 2004)
Proc.Steklov Inst.Math. 245 (2004) 154
null
null
quant-ph
null
Quantum Space-Time and Phase Space with fuzzy geometric structure are studied as possible formalism for quantization of massive particles and fields. In this approach the state of nonrelativistic particle m described by the fuzzy point of fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m coordinate x principal uncertainty is generic in this ansatz. It's shown that in 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral formalism of Quantum Mechanics (QM).
[ { "version": "v1", "created": "Thu, 7 Sep 2006 12:42:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Mayburov", "S.", "" ] ]
quant-ph/0609057
Jens Timo Neumann
Gerhard C. Hegerfeldt, Jens Timo Neumann, Lawrence S. Schulman
Investigation of a quantum mechanical detector model for moving, spread-out particles
19 pages, 1 figure; minor changes, references corrected; accepted for publication in Journal of Physics A: Mathematical and General
J. Phys. A: Math. Gen. 39 (2006) 14447-14463
10.1088/0305-4470/39/46/014
null
quant-ph
null
We investigate a fully quantum mechanical spin model for the detection of a moving particle. This model, developed in earlier work, is based on a collection of spins at fixed locations and in a metastable state, with the particle locally enhancing the coupling of the spins to an environment of bosons. Appearance of bosons from particular spins signals the presence of the particle at the spin location, and the first boson indicates its arrival. The original model used discrete boson modes. Here we treat the continuum limit, under the assumption of the Markov property, and calculate the arrival-time distribution for a particle to reach a specific region.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 14:31:56 GMT" }, { "version": "v2", "created": "Wed, 18 Oct 2006 13:56:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Hegerfeldt", "Gerhard C.", "" ], [ "Neumann", "Jens Timo", "" ], [ "Schulman", "Lawrence S.", "" ] ]
quant-ph/0609058
Christian Grosche Dr.
Christian Grosche, George Pogosyan, Alexei Sissakian
Path Integral Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: II. Darboux Spaces DIII and DIV
null
Phys.Part.Nucl.38:525-563,2007
10.1134/S1063779607050012
DESY 06-139
quant-ph
null
This is the second paper on the path integral approach of superintegrable systems on Darboux spaces, spaces of non-constant curvature. We analyze in the spaces $\DIII$ and $\DIV$ five respectively four superintegrable potentials, which were first given by Kalnins et al. We are able to evaluate the path integral in most of the separating coordinate systems, leading to expressions for the Green functions, the discrete and continuous wave-functions, and the discrete energy-spectra. In some cases, however, the discrete spectrum cannot be stated explicitly, because it is determined by a higher order polynomial equation. We show that also the free motion in Darboux space of type III can contain bound states, provided the boundary conditions are appropriate. We state the energy spectrum and the wave-functions, respectively.
[ { "version": "v1", "created": "Thu, 7 Sep 2006 21:02:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Grosche", "Christian", "" ], [ "Pogosyan", "George", "" ], [ "Sissakian", "Alexei", "" ] ]
quant-ph/0609059
Nicolais Guevara
Robin P. Sagar and Nicolais L. Guevara
Shannon entropies of atomic structure factors, off-diagonal order and electron correlation
null
Mol. Phys. 105 (2007) 1359-1368
10.1080/00268970701335771
null
quant-ph
null
Shannon entropies of one- and two-electron atomic structure factors in the position and momentum representations are used to examine the behavior of the off-diagonal elements of density matrices with respect to the uncertainty principle and to analyze the effects of electron correlation on off-diagonal order. We show that electron correlation induces off-diagonal order in position space which is characterized by larger entropic values. Electron correlation in momentum space is characterized by smaller entropic values as information is forced into regions closer to the diagonal. Related off-diagonal correlation functions are also discussed.
[ { "version": "v1", "created": "Fri, 8 Sep 2006 05:24:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Sagar", "Robin P.", "" ], [ "Guevara", "Nicolais L.", "" ] ]
quant-ph/0609060
Jukka Kiukas
J. Kiukas, P. Lahti, J.-P. Pellonp\"a\"a
On infinite matrices, Schur products, and operator measures
16 pages, no figures, to be published in Reports of Mathematical Physics; corrected typos
Rep. Math. Phys. 58 (2006) 375-393
10.1016/S0034-4877(06)80959-6
null
quant-ph
null
Measures with values in the set of sesquilinear forms on a subspace of a Hilbert space are of interest in quantum mechanics, since they can be interpreted as observables with only a restricted set of possible measurement preparations. In this paper, we consider the question under which conditions such a measure extends to an operator valued measure, in the concrete setting where the measure is defined on the Borel sets of the interval $[0,2\pi)$ and is covariant with respect to shifts. In this case, the measure is characterized with a single infinite matrix, and it turns out that a basic sufficient condition for the extensibility is that the matrix be a Schur multiplier. Accordingly, we also study the connection between the extensibility problem and the theory of Schur multipliers. In particular, we define some new norms for Schur multipliers.
[ { "version": "v1", "created": "Fri, 8 Sep 2006 07:34:41 GMT" }, { "version": "v2", "created": "Thu, 12 Oct 2006 10:46:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Kiukas", "J.", "" ], [ "Lahti", "P.", "" ], [ "Pellonpää", "J. -P.", "" ] ]
quant-ph/0609061
Tata Gopinath
T. Gopinath, Anil Kumar
Hadamard NMR spectroscopy for two-dimensional quantum information processing and parallel search algorithms
28 pages, 10 figures. Journal of Magnetic Resonance (In Press)
null
10.1016/j.jmr.2006.09.001
null
quant-ph
null
Hadamard spectroscopy has earlier been used to speed-up multi-dimensional NMR experiments. In this work we speed-up the two-dimensional quantum computing scheme, by using Hadamard spectroscopy in the indirect dimension, resulting in a scheme which is faster and requires the Fourier transformation only in the direct dimension. Two and three qubit quantum gates are implemented with an extra observer qubit. We also use one-dimensional Hadamard spectroscopy for binary information storage by spatial encoding and implementation of a parallel search algorithm.
[ { "version": "v1", "created": "Fri, 8 Sep 2006 07:54:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Gopinath", "T.", "" ], [ "Kumar", "Anil", "" ] ]
quant-ph/0609062
Antonio Feoli
A. Feoli
Hidden variables or hidden theories?
12 pages, 1 figure, submitted
null
null
null
quant-ph
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We show that a modified Relativity Principle could explain in a "classical" way the strange correlations of entangled photons. We propose a gedanken experiment with balls and boxes that predicts the same distribution of probability of the Quantum Mechanics in the case of the EPR experiment with a pair of entangled photons meeting a pair of polarizers. In the light of this gedanken experiment, we find an alternative description of the real EPR experiment postulating the existence of two observers (one for each polarizer) embedded in two locally anisotropic spacetimes. In our model there is no need to invoke quantum non separability or instantaneous action at distance.
[ { "version": "v1", "created": "Fri, 8 Sep 2006 18:16:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Feoli", "A.", "" ] ]
quant-ph/0609063
Robabeh Rahimi Darabad
Robabeh Rahimi
Studies on Entanglement in Nuclear and Electron Spin Systems for Quantum Computing
158 pages, slightly modified version of the Dissertation submitted for Doctor of Philosophy at Osaka University, Japan, March 2006
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quant-ph
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In this work, we have been working on the concept of quantum entanglement. At first, we studied the theory of entanglement in its characterization and measurement, introducing a new scheme for detection of entanglement. The new approach links molecular-spin entities involving nuclear spins to quantum computing as more appropriate physical systems of interest. Then, we continued with the realization of entanglement in experiments. NMR has been the first choice due to its well approved advantages for quantum computing. NMR, however, has not been an appropriate system for demonstrating entangled states. Through a mathematical proof, NMR with low spin polarization has been invalidated for true implementations of non-local quantum algorithms, particularly supserdense coding. The point is that high spin polarization is inevitably required to acquire entanglement while in the current NMR it has been a formidable task to get highly polarized nuclear spins. In order to acquire high spin polarization, introducing electron spins can be much effective because of its three-order-of-magnitude larger gyromagnetic ratio compared to nuclear spins. Electron Nuclear DOuble Resonance (ENDOR) is spin manipulation technology that enables us to deal with both electron and nuclear spins. Thus, in this context, it can be more appropriate device for quantum computing. We emphasize that (pseudo)entanglement and interconversion between the entangled states have been realized with ENDOR on extremely stable organic molecular-spin entities. The required experimental conditions to obtain true quantum entanglement are also discussed. The appropriate entanglement witness for the corresponding ensemble quantum computing is introduced and examined.
[ { "version": "v1", "created": "Fri, 8 Sep 2006 14:19:17 GMT" }, { "version": "v2", "created": "Mon, 11 Sep 2006 14:25:52 GMT" }, { "version": "v3", "created": "Tue, 12 Sep 2006 15:15:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Rahimi", "Robabeh", "" ] ]