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quant-ph/9910010
H. J. Kimble
Samuel L. Braunstein and H. J. Kimble
Dense Coding for Continuous Variables
4 pages, two figures, submitted to PRA
null
10.1103/PhysRevA.61.042302
null
quant-ph
null
A scheme to achieve dense quantum coding for the quadrature amplitudes of the electromagnetic field is presented. The protocol utilizes shared entanglement provided by nondegenerate parametric down conversion in the limit of large gain to attain high efficiency. For a constraint in the mean number of photons n associated with modulation in the signal channel, the channel capacity for dense coding is found to be ln(1+n+n^2), which always beats coherent-state communication and surpasses squeezed-state communication for n>1. For n>>1, the dense coding capacity approaches twice that of either scheme.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 01:53:26 GMT" } ]
2009-10-31T00:00:00
[ [ "Braunstein", "Samuel L.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/9910011
null
Pavel Bona (Dept. Theor. Phys., Comenius University, Bratislava)
Geometric Formulation of Nonlinear Quantum Mechanics for Density Matrices
Latex, 10 pages, to be published in proceedings
Proceedings of the International Symposium: Trends in Quantum Mechanics, Goslar 1998. Eds: H.-D.Doebner, S.T.Ali, M.Keyl and R.F.Werner; World Scientific, Singapore-New Jersey-London-Hong Kong, 2000
null
null
quant-ph
null
Proposals for nonlinear extenstions of quantum mechanics are discussed. Two different concepts of "mixed state" for any nonlinear version of quantum theory are introduced: (i) >genuine mixture< corresponds to operational "mixing" of different ensembles, and (ii) a mixture described by single density matrix without having a canonical operational possibility to pick out its specific convex decomposition is called here an >elementary mixture<. Time evolution of a class of nonlinear extensions of quantum mechanics is introduced. Evolution of an elementary mixture cannot be generally given by evolutions of components of its arbitrary convex decompositions. The theory is formulated in a "geometric form": It can be considered as a version of Hamiltonian mechanics on infinite dimensional space of density matrices. A quantum interpretation of the theory is sketched.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 14:27:34 GMT" } ]
2012-12-07T00:00:00
[ [ "Bona", "Pavel", "", "Dept. Theor. Phys., Comenius University, Bratislava" ] ]
quant-ph/9910012
null
Pavel Bona (Comenius University, Bratislava)
On Symmetries in Nonlinear Quantum Mechanics
Latex, 5 pages, submitted to Proceedings of a conference
Proceedings of the International Symposium: Quantum Theory and Symmetries, Goslar 1999. Eds: H.-D.Doebner, V.K.Dobrev, J.-D.Hennig and W.Luecke; World Scientific, Singapore-New Jersey-London-Hong Kong, 2000
null
null
quant-ph
null
It is shown how nonlinear versions of quantum mechanics can be refolmulated in terms of a (linear) C*-algebraic theory. Then also their symmetries are described as automorphisms of the correspondong C*-algebra. The requirement of "conservation of transition probabilities" is discussed.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 14:27:28 GMT" } ]
2012-12-11T00:00:00
[ [ "Bona", "Pavel", "", "Comenius University, Bratislava" ] ]
quant-ph/9910013
Anatoly Zhiliba
V. N. Gorbachev and A. I. Zhiliba
Transfer formalism for quantum optics problems
LaTeX file, \documentstyle[11pt,fleqn]{article}
null
10.1088/0305-4470/33/20/304
null
quant-ph
null
Consistent quantum formalism based on the localized basis of the Wannirer functions in Heisenberg and Schrodinger pictures to describe propagation of electromagnetic field in a three dimensional media including diffraction is presented. In the Schrodinger picture the Fokker-Planck equation for the Glauber-Sudarshan quasiprobability and corresponding Langevin equations are given. As result the space-time description is obtained by a simple changing variables in the temporal master equation of the field. Using this formalism it is shown that the existence of integrals of motion in the propagation of light in a medium under the condition of nondegenerated parametric and two-photon interactions results in amplification of modes when nonclassical properties of the light are conserved. Quantum propagation of light in a linear medium taking into account the diffraction is considered and its solution is found.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 10:36:27 GMT" } ]
2015-06-26T00:00:00
[ [ "Gorbachev", "V. N.", "" ], [ "Zhiliba", "A. I.", "" ] ]
quant-ph/9910014
Hongchen Fu
Yongzheng Zhang, Hongchen Fu and Allan I. Solomon
Intermediate coherent-phase(PB) states of radiation fields and their nonclassical properties
9 pages, 3 EPS figures, use epsf.sty. Accepted for publication in Phys.Lett.A
Phys.Lett.A263:257-262,1999
10.1016/S0375-9601(99)00705-7
null
quant-ph
null
Intermediate states interpolating coherent states and Pegg-Barnett phase states are investigated using the ladder operator approach. These states reduce to coherent and Pegg-Barnett phase states in two different limits. Statistical and squeezing properties are studied in detail.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 13:52:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Zhang", "Yongzheng", "" ], [ "Fu", "Hongchen", "" ], [ "Solomon", "Allan I.", "" ] ]
quant-ph/9910015
Jaehyun Kim
Jaehyun Kim, Jae-Seung Lee, Soonchil Lee, and Chaejoon Cheong
Implementation of the refined Deutsch-Jozsa algorithn on a 3-bit NMR quantum computer
5 pages, 2 figures, 1 tables, REVTeX
Phys. Rev. A 62, 022312 (2000).
10.1103/PhysRevA.62.022312
null
quant-ph
null
We implemented the refined Deutsch-Jozsa algorithm on a 3-bit nuclear magnetic resonance quantum computer, which is the meaningful test of quantum parallelism because qubits are entangled. All of the balanced and constant functions were realized exactly. The results agree well with theoretical predictions and clearly distinguish the balanced functions from constant functions. Efficient refocusing schemes were proposed for the soft z-pulse and J-coupling and it is proved that the thermal equilibrium state gives the same results as the pure state for this algorithm.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 14:31:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Kim", "Jaehyun", "" ], [ "Lee", "Jae-Seung", "" ], [ "Lee", "Soonchil", "" ], [ "Cheong", "Chaejoon", "" ] ]
quant-ph/9910016
Paolo Zanardi
Paolo Zanardi (1,2) ((1) Istituto Nazionale per la Fisica della Materia (INFM), (2) Institute for Scientific Interchange (ISI) Foundation)
Stabilizing Quantum Information
5 Pages, Latex. Presentation improved, results unchanged. To appear in PRA
Phys. Rev. A 63 (2001) 12301
10.1103/PhysRevA.63.012301
null
quant-ph
null
The dynamical-algebraic structure underlying all the schemes for quantum information stabilization is argued to be fully contained in the reducibility of the operator algebra describing the interaction with the environment of the coding quantum system. This property amounts to the existence of a non-trivial group of symmetries for the global dynamics. We provide a unified framework which allows us to build systematically new classes of error correcting codes and noiseless subsystems. It is shown how by using symmetrization strategies one can artificially produce noiseless subsystems supporting universal quantum computation.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 17:45:27 GMT" }, { "version": "v2", "created": "Wed, 6 Sep 2000 17:50:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Zanardi", "Paolo", "" ] ]
quant-ph/9910017
Oscar Rosas-Ortiz
J.I. Diaz, J. Negro, L.M. Nieto and O. Rosas-Ortiz
The supersymmetric modified Poschl-Teller and delta-well potentials
20 pages, LaTeX file, 4 eps figures
J. Phys. A: Math. Gen. 32 (1999) 8447-8460
10.1088/0305-4470/32/48/308
null
quant-ph
null
New supersymmetric partners of the modified Poschl-Teller and the Dirac's delta well potentials are constructed in closed form. The resulting one-parametric potentials are shown to be interrelated by a limiting process. The range of values of the parameters for which these potentials are free of singularities is exactly determined. The construction of higher order supersymmetric partner potentials is also investigated.
[ { "version": "v1", "created": "Mon, 4 Oct 1999 21:25:07 GMT" } ]
2008-10-13T00:00:00
[ [ "Diaz", "J. I.", "" ], [ "Negro", "J.", "" ], [ "Nieto", "L. M.", "" ], [ "Rosas-Ortiz", "O.", "" ] ]
quant-ph/9910018
GuangCan Guo
Chuan-Wei Zhang, Chuan-Feng Li, and Guang-Can Guo (University of Science and Technology of China)
No-Concentrating Theorem of Pure Entangled States
4 Pages, no Figure, REVTeX. Minor changes in proof, result unchanged
null
null
null
quant-ph
null
Suppose two distant observers Alice and Bob share a pure biparticle entangled state secretly chosen from a set, it is shown that Alice (Bob) can probabilistic concentrate the state to a maximally entangled state by applying local operations and classical communication (LQCC) if and only if the states in the set share the same marginal density operator for her (his) subsystem. Applying this result, we present probabilistic superdense coding and show that perfect purification of mixed state is impossible using only LQCC on individual particles.
[ { "version": "v1", "created": "Tue, 5 Oct 1999 09:07:54 GMT" }, { "version": "v2", "created": "Sat, 22 Jan 2000 08:36:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhang", "Chuan-Wei", "", "University of\n Science and Technology of China" ], [ "Li", "Chuan-Feng", "", "University of\n Science and Technology of China" ], [ "Guo", "Guang-Can", "", "University of\n Science and Technology of China" ] ]
quant-ph/9910019
Aurelian Isar
A. Isar
Uncertainty, entropy and decoherence of the damped harmonic oscillator in the Lindblad theory of open quantum systems
41 pages, LaTex
Fortschritte der Physik, 47 (1999) 855-879
10.1002/(SICI)1521-3978(199909)47:7/8<855::AID-PROP855>3.0.CO;2-Z
null
quant-ph
null
In the framework of the Lindblad theory for open quantum systems, expressions for the density operator, von Neumann entropy and effective temperature of the damped harmonic oscillator are obtained. The entropy for a state characterized by a Wigner distribution function which is Gaussian in form is found to depend only on the variance of the distribution function. We give a series of inequalities, relating uncertainty to von Neumann entropy and linear entropy. We analyze the conditions for purity of states and show that for a special choice of the diffusion coefficients, the correlated coherent states (squeezed coherent states) are the only states which remain pure all the time during the evolution of the considered system. These states are also the most stable under evolution in the presence of the environment and play an important role in the description of environment induced decoherence.
[ { "version": "v1", "created": "Tue, 5 Oct 1999 10:15:12 GMT" } ]
2015-06-26T00:00:00
[ [ "Isar", "A.", "" ] ]
quant-ph/9910020
Slobodan Prvanovic
S. Prvanovic and Z. Maric, Belgrade, Serbia
Toward the Collapse of State
18 pages, no figures
null
null
null
quant-ph
null
The basic concepts of classical mechanics are given in the operator form. Then, the hybrid systems approach, with the operator formulation of both quantum and classical sector, is applied to the case of an ideal nonselective measurement. It is found that the dynamical equation, consisting of the Schr\"odinger and Liouville dynamics, produces noncausal evolution when the initial state of measured system and measuring apparatus is chosen to be as it is demanded in discussions regarding the problem of measurement. Nonuniqueness of possible realizations of transition from pure noncorrelated to mixed correlated state is analyzed in details. It is concluded that collapse of state is the only possible way of evolution of physical systems in this case.
[ { "version": "v1", "created": "Tue, 5 Oct 1999 13:09:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Prvanovic", "S.", "" ], [ "Maric", "Z.", "" ], [ "Belgrade", "", "" ], [ "Serbia", "", "" ] ]
quant-ph/9910021
GuangCan Guo
Wan-Li Li, Chuan-Feng Li and Guang-Can Guo (University of Science and Technology of China)
Probabilistic teleportation and entanglement matching
3.5 pages, No figures
Phys. Rev. A 61, 034301 (2000)
10.1103/PhysRevA.61.034301
null
quant-ph
null
Teleportation may be taken as sending and extracting quantum information through quantum channels. In this report, it is shown that to get the maximal probability of exact teleportation through partially entangled quantum channels, the sender (Alice) need only to operate a measurement which satisfy an ``entanglement matching'' to this channel. An optimal strategy is also provided for the receiver (Bob) to extract the quantum information by adopting general evolutions.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 03:51:19 GMT" } ]
2009-10-31T00:00:00
[ [ "Li", "Wan-Li", "", "University of Science and\n Technology of China" ], [ "Li", "Chuan-Feng", "", "University of Science and\n Technology of China" ], [ "Guo", "Guang-Can", "", "University of Science and\n Technology of China" ] ]
quant-ph/9910022
Duer Wolfgang
W. D\"ur, J. I. Cirac, M. Lewenstein and D. Bruss
Distillability and partial transposition in bipartite systems
8 pages, 1 figure
Phys. Rev. A 61, 062313 (2000)
10.1103/PhysRevA.61.062313
null
quant-ph
null
We study the distillability of a certain class of bipartite density operators which can be obtained via depolarization starting from an arbitrary one. Our results suggest that non-positivity of the partial transpose of a density operator is not a sufficient condition for distillability, when the dimension of both subsystems is higher than two.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 07:17:00 GMT" } ]
2009-10-31T00:00:00
[ [ "Dür", "W.", "" ], [ "Cirac", "J. I.", "" ], [ "Lewenstein", "M.", "" ], [ "Bruss", "D.", "" ] ]
quant-ph/9910023
Dr. V. Krasnoholovets
Volodymyr Krasnoholovets and Dmytro Ivanovsky
Motion of a particle and the vacuum
18 pages, LaTeX 2e, 5 figures (PostScript files)
Physics Essays, vol. 6, no. 4, pp. 554-563 (1993)
null
null
quant-ph
null
We propose the deterministic dynamics of a free particle in a physical vacuum, which is considered as a discrete (quantum) medium. The motion of the particle is studied taking into account its interactions with the medium. It is assumed that this interaction results in the appearance of special virtual excitations, called "inertons," in the vacuum medium in the surroundings of the canonical particle. The solution of the equation of motion shows that a cloud of inertons oscillates around the particle with amplitude $\Lambda=\lambda v/c$, where $\lambda$ is the de Broglie wavelength, v is the initial velocity of the particle, and c is the initial velocity of the inertons (velocity of light). This oscillating nature of motion is also applied to the particle, and the de Broglie wavelength $\lambda$ becomes the amplitude of spacial oscillations. The oscillation frequency $\nu$ is given by the relation $E=h\nu$. The connection of the present model with orthodox nonrelativistic wave mechanics is analyzed.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 11:30:47 GMT" }, { "version": "v2", "created": "Fri, 5 Nov 1999 08:34:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Krasnoholovets", "Volodymyr", "" ], [ "Ivanovsky", "Dmytro", "" ] ]
quant-ph/9910024
Benjamin Varcoe
B.T.H. Varcoe, R. Sang, W.R. MacGillivray, and M.C. Standage
Quantum State Reconstruction Using Atom Optics
4 pages, 4 figures
null
null
null
quant-ph
null
We present a novel technique in which the total internal quantum state of an atom may be reconstructed via the measurement of the momentum transferred to an atom following its interaction with a near resonant travelling wave laser beam. We present the first such measurement and demonstrate the feasibility of the technique.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 13:51:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Varcoe", "B. T. H.", "" ], [ "Sang", "R.", "" ], [ "MacGillivray", "W. R.", "" ], [ "Standage", "M. C.", "" ] ]
quant-ph/9910025
Kentaro Imafuku
Kentaro Imafuku, Kazuya Yuasa and Ichiro Ohba (Waseda University, Tokyo, Japan)
Quantum stochastic resonance in driven spin-boson system with stochastic limit approximation
9 pages with 6 figures
null
null
WU-HEP-99-9
quant-ph
null
After a brief review of stochastic limit approximation with spin-boson system from physical points of view, amplification phenomenon-stochastic resonance phenomenon-in driven spin-boson system is observed which is helped by the quantum white noise introduced through the stochastic limit approximation. The shift in frequency of the system due to the interaction with the environment-Lamb shift-has an important role in these phenomena.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 14:33:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Imafuku", "Kentaro", "", "Waseda University,\n Tokyo, Japan" ], [ "Yuasa", "Kazuya", "", "Waseda University,\n Tokyo, Japan" ], [ "Ohba", "Ichiro", "", "Waseda University,\n Tokyo, Japan" ] ]
quant-ph/9910026
David DiVincenzo
David P. DiVincenzo (IBM), Peter W. Shor (AT&T), John A. Smolin (IBM), Barbara M. Terhal (IBM), Ashish V. Thapliyal (UCSB)
Evidence for Bound Entangled States with Negative Partial Transpose
Revtex, 19 pages, 2 eps figures. v2,3: very minor changes, submitted to Phys. Rev. A. v4: minor typos corrected
Phys. Rev. A 61, 062312 (2000)
10.1103/PhysRevA.61.062312
null
quant-ph
null
We exhibit a two-parameter family of bipartite mixed states $\rho_{bc}$, in a $d\otimes d$ Hilbert space, which are negative under partial transposition (NPT), but for which we conjecture that no maximally entangled pure states in $2\otimes 2$ can be distilled by local quantum operations and classical communication (LQ+CC). Evidence for this undistillability is provided by the result that, for certain states in this family, we cannot extract entanglement from any arbitrarily large number of copies of $\rho_{bc}$ using a projection on $2\otimes 2$. These states are canonical NPT states in the sense that any bipartite mixed state in any dimension with NPT can be reduced by LQ+CC operations to an NPT state of the $\rho_{bc}$ form. We show that the main question about the distillability of mixed states can be formulated as an open mathematical question about the properties of composed positive linear maps.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 15:18:09 GMT" }, { "version": "v2", "created": "Thu, 7 Oct 1999 19:57:09 GMT" }, { "version": "v3", "created": "Fri, 27 Oct 2000 18:56:45 GMT" } ]
2009-10-31T00:00:00
[ [ "DiVincenzo", "David P.", "", "IBM" ], [ "Shor", "Peter W.", "", "AT&T" ], [ "Smolin", "John A.", "", "IBM" ], [ "Terhal", "Barbara M.", "", "IBM" ], [ "Thapliyal", "Ashish V.", "", "UCSB" ] ]
quant-ph/9910027
Diego A. R. Dalvit
Diego A. R. Dalvit and Paulo A. Maia Neto
Decoherence via Dynamical Casimir Effect
4 pages, 2 figures
Phys.Rev.Lett.84:798-801,2000
10.1103/PhysRevLett.84.798
null
quant-ph hep-th
null
We derive a master equation for a mirror interacting with the vacuum field via radiation pressure. The dynamical Casimir effect leads to decoherence of a 'Schroedinger cat' state in a time scale that depends on the degree of 'macroscopicity' of the state components, and which may be much shorter than the relaxation time scale. Coherent states are selected by the interaction as pointer states.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 15:54:42 GMT" } ]
2011-08-04T00:00:00
[ [ "Dalvit", "Diego A. R.", "" ], [ "Neto", "Paulo A. Maia", "" ] ]
quant-ph/9910028
Leah Henderson
L. Henderson, L. Hardy and V. Vedral
Two-state teleportation
20 pages, 6 figures
null
10.1103/PhysRevA.61.062306
null
quant-ph
null
Quantum teleportation with additional a priori information about the input state achieves higher fidelity than teleportation of a completely unknown state. However, perfect teleportation of two non-orthogonal input states requires the same amount of entanglement as perfect teleportation of an unknown state, namely one ebit. We analyse how well two-state teleportation can be achieved using every degree of pure-state entanglement, and discuss the fidelity of `teleportation' that can be achieved with only classical communication but no shared entanglement. A two-state telecloning scheme is constructed.
[ { "version": "v1", "created": "Wed, 6 Oct 1999 17:08:45 GMT" }, { "version": "v2", "created": "Wed, 23 Feb 2000 11:35:00 GMT" } ]
2009-10-31T00:00:00
[ [ "Henderson", "L.", "" ], [ "Hardy", "L.", "" ], [ "Vedral", "V.", "" ] ]
quant-ph/9910029
Jens Clausen
J. Clausen, M. Dakna, L. Knoll, D.-G. Welsch
Measuring quantum state overlaps of traveling optical fields
17 pages, 6 figures, using a4.sty
Opt. Commun. 179, 189 (2000)
10.1016/S0030-4018(99)00537-4
null
quant-ph
null
We propose a detection scheme for measuring the overlap of the quantum state of a weakly excited traveling-field mode with a desired reference quantum state, by successive mixing the signal mode with modes prepared in coherent states and performing photon-number measurements in an array of beam splitters. To illustrate the scheme, we discuss the measurement of the quantum phase and the detection of Schrodinger-cat-like states.
[ { "version": "v1", "created": "Thu, 7 Oct 1999 14:26:02 GMT" } ]
2016-05-10T00:00:00
[ [ "Clausen", "J.", "" ], [ "Dakna", "M.", "" ], [ "Knoll", "L.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/9910030
Christopher A. Fuchs
Samuel L. Braunstein, Christopher A. Fuchs, and H. J. Kimble
Criteria for Continuous-Variable Quantum Teleportation
12 pages, to appear in Journal of Modern Optics
null
10.1080/09500340008244041
null
quant-ph
null
We derive an experimentally testable criterion for the teleportation of quantum states of continuous variables. This criterion is especially relevant to the recent experiment of Furusawa et al. [Science 282, 706-709 (1998)] where an input-output fidelity of $0.58 \pm 0.02$ was achieved for optical coherent states. Our derivation demonstrates that fidelities greater than 1/2 could not have been achieved through the use of a classical channel alone; quantum entanglement was a crucial ingredient in the experiment.
[ { "version": "v1", "created": "Thu, 7 Oct 1999 17:43:06 GMT" } ]
2015-06-26T00:00:00
[ [ "Braunstein", "Samuel L.", "" ], [ "Fuchs", "Christopher A.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/9910031
Gavin Brennen
G.K. Brennen (1), I.H. Deutsch (1), P.S. Jessen (2) ((1) University of New Mexico, (2) University of Arizona)
Entangling Dipole-Dipole Interactions and Quantum Logic in Optical Lattices
53 pages, 7 figures
null
10.1103/PhysRevA.61.062309
null
quant-ph
null
We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions in a three dimensional optical lattice. For tightly trapped atoms the dipolar interaction energy can be much larger than the photon scattering rate, and substantial coherent evolution of the two-atom state can be achieved before decoherence occurs. Excitation of the dipoles can be made conditional on the atomic states, allowing for deterministic generation of entanglement. We derive selection rules and a figure-of-merit for the dipole-dipole interaction matrix elements, for alkali atoms with hyperfine structure and trapped in well localized center of mass states. Different protocols are presented for implementing two-qubits quantum logic gates such as the controlled-phase and swap gate. We analyze the fidelity of our gate designs, imperfect due to decoherence from cooperative spontaneous emission and coherent couplings outside the logical basis. Outlines for extending our model to include the full molecular interactions potentials are discussed.
[ { "version": "v1", "created": "Thu, 7 Oct 1999 20:56:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Brennen", "G. K.", "" ], [ "Deutsch", "I. H.", "" ], [ "Jessen", "P. S.", "" ] ]
quant-ph/9910032
Supriyo Bandyopadhyay
Supriyo Bandyopadhyay
A Self Assembled Nanoelectronic Quantum Computer Based on the Rashba Effect in Quantum Dots
22 pages, 4 figures
Physical Review B, Vol. 61, 13813 (2000)
10.1103/PhysRevB.61.13813
null
quant-ph
null
Quantum computers promise vastly enhanced computational power and an uncanny ability to solve classically intractable problems. However, few proposals exist for robust, solid state implementation of such computers where the quantum gates are sufficiently miniaturized to have nanometer-scale dimensions. Here I present a new approach whereby a complete computer with nanoscale gates might be self-assembled using chemical synthesis. Specifically, I demonstrate how to self-assemble the fundamental unit of this quantum computer - a 2-qubit universal quantum controlled-NOT gate - based on two exchange coupled multilayered quantum dots. Then I show how these gates can be wired using thiolated conjugated molecules as electrical connectors. A qubit is encoded in the ground state of a quantum dot spin-split by the Rashba interaction. Arbitrary qubit rotations are effected by bringing the spin splitting energy in a target quantum dot in resonance with a global ac magnetic field by applying a potential pulse of appropriate amplitude and duration to the dot. The controlled dynamics of the 2-qubit controlled-NOT operation (XOR) can be realized by exploiting the exchange coupling with the nearest neighboring dot. A complete prescription for initialization of the computer and data input/output operations is presented.
[ { "version": "v1", "created": "Thu, 7 Oct 1999 22:50:15 GMT" }, { "version": "v2", "created": "Thu, 7 Oct 1999 23:18:40 GMT" }, { "version": "v3", "created": "Mon, 29 Nov 1999 21:27:52 GMT" }, { "version": "v4", "created": "Mon, 27 Mar 2000 01:00:07 GMT" }, { "version": "v5", "created": "Sun, 9 Apr 2000 22:38:00 GMT" }, { "version": "v6", "created": "Tue, 7 Nov 2000 22:58:54 GMT" } ]
2009-10-31T00:00:00
[ [ "Bandyopadhyay", "Supriyo", "" ] ]
quant-ph/9910033
Lane A. Hemaspaandra
Edith Hemaspaandra (RIT), Lane A. Hemaspaandra (University of Rochester), Marius Zimand (Towson University)
Almost-Everywhere Superiority for Quantum Computing
16 pages
null
null
Revised version of URCS-TR-99-720
quant-ph cs.CC
null
Simon as extended by Brassard and H{\o}yer shows that there are tasks on which polynomial-time quantum machines are exponentially faster than each classical machine infinitely often. The present paper shows that there are tasks on which polynomial-time quantum machines are exponentially faster than each classical machine almost everywhere.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 03:48:56 GMT" }, { "version": "v2", "created": "Mon, 11 Oct 1999 19:03:38 GMT" }, { "version": "v3", "created": "Wed, 20 Oct 1999 22:33:57 GMT" }, { "version": "v4", "created": "Sat, 29 Apr 2000 23:40:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Hemaspaandra", "Edith", "", "RIT" ], [ "Hemaspaandra", "Lane A.", "", "University of\n Rochester" ], [ "Zimand", "Marius", "", "Towson University" ] ]
quant-ph/9910034
Molotkov S.
S.N.Molotkov and S.S.Nazin (Institute of Solid State Physics, Russian Academy of Sciences)
Relativistic quantum coin tossing
6 pages, no figures
null
10.1134/1.568249
null
quant-ph
null
A relativistic quantum information exchange protocol is proposed allowing two distant users to realize ``coin tossing'' procedure. The protocol is based on the point that in relativistic quantum theory reliable distinguishing between the two orthogonal states generally requires a finite time depending on the structure of these states.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 09:32:49 GMT" }, { "version": "v2", "created": "Fri, 22 Oct 1999 09:24:03 GMT" }, { "version": "v3", "created": "Mon, 25 Oct 1999 08:32:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Molotkov", "S. N.", "", "Institute of Solid State Physics, Russian\n Academy of Sciences" ], [ "Nazin", "S. S.", "", "Institute of Solid State Physics, Russian\n Academy of Sciences" ] ]
quant-ph/9910035
Pavel Exner
P.Duclos, P.Exner, and D. Krejcirik
Locally curved quantum layers
LaTeX2e, 15 pages, to appear in the Ukrainian J. Phys., Bogolyubov Memorial Issue
Ukrainian J. Phys. 45 (2000), 595-601
null
null
quant-ph cond-mat math-ph math.MP
null
We consider a quantum particle constrained to a curved layer of a constant width built over an infinite smooth surface. We suppose that the latter is a locally deformed plane and that the layer has the hard-wall boundary. Under this assumptions we prove that the particle Hamiltonian possesses geometrically induced bound states.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 13:03:42 GMT" } ]
2020-01-30T00:00:00
[ [ "Duclos", "P.", "" ], [ "Exner", "P.", "" ], [ "Krejcirik", "D.", "" ] ]
quant-ph/9910036
W. A. Hofer
W.a. Hofer
A realist view of the electron: recent advances and unsolved problems
9 pages (RevTeX, twocolumn) with 7 figures (eps), to appear in Contemporary Fundamental Physics, Nova Science. Related papers are found at http://info.tuwien.ac.at/cms/wh/
null
null
null
quant-ph hep-th
null
In view of experimentally obtainable resolutions, equal to the Compton wavelength of an electron, the conventional interpretation of quantum mechanics no longer seems to provide a sufficiently subtle tool. Based on the intrinsic properties of extended particles we propose a new theory, which allows to describe fundamental processes with unlimited precision at the microlevel. It is shown how this framework combines classical electrodynamics and quantum mechanics in a single and consistent picture. An analysis of single measurement problems reveals that the theory is suitable to remove some of the most striking paradoxes in quantum mechanics, which are found to originate from obscuring statistical effects with physical reasoning. A possible origin of the infinity problems in relativistic quantum fields is found by analyzing electron accelerations due to photon absorption processes. The current state of the theory and existing problems are discussed briefly.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 13:38:43 GMT" } ]
2009-09-25T00:00:00
[ [ "Hofer", "W. a.", "" ] ]
quant-ph/9910037
BG Englert
Berthold-Georg Englert, Marlan O. Scully, and Herbert Walther
On mechanisms that enforce complementarity
4 pages
Journal of Modern Optics, vol. 47, 2000, pp. 2213-2220
10.1080/09500340008235143
null
quant-ph
null
In a recent publication Luis and Sanchez-Soto arrive at the conclusion that complementarity is universally enforced by random classical phase kicks. We disagree. One could just as well argue that quantum entanglement is the universal mechanism. Both claims of universality are unjustified, however.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 13:18:23 GMT" } ]
2015-06-26T00:00:00
[ [ "Englert", "Berthold-Georg", "" ], [ "Scully", "Marlan O.", "" ], [ "Walther", "Herbert", "" ] ]
quant-ph/9910038
Oscar Rosas-Ortiz
J. Negro, L.M. Nieto and O. Rosas-Ortiz
Refined Factorizations of Solvable Potentials
11 pages, LaTeX file, no figures
J. Phys. A: Math. Gen. 33(2000) 7207-7216
10.1088/0305-4470/33/40/315
null
quant-ph
null
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 13:46:42 GMT" } ]
2008-10-13T00:00:00
[ [ "Negro", "J.", "" ], [ "Nieto", "L. M.", "" ], [ "Rosas-Ortiz", "O.", "" ] ]
quant-ph/9910039
Johann Summhammer
Johann Summhammer
Maximum predictive power and the superposition principle
6 pages, Latex, no figures
null
null
null
quant-ph
null
Recently, there has been a discussion on the origin of the quantum probability rules (Deutsch quant-ph/9906015, Polley quant-ph/9906124, Barnum et al. quant-ph/9907024, Finkelstein quant-ph/9907004). This contribution, which is a slightly reformulated version of a paper published in Int.J.Theor.Phys. 33, 171 (1994), points out the follwoing: To an experimenter the world is a persistent stream of discrete data. All that is certain is that with each observation he/she knows more than before, simply because he/she can now answer the question "Which of the possible outcomes have you just registered?", while this was not possible before the observation. One can ask whether this relentless increase of information entails a specific structure. In particular, how must different observations be related in order to ensure that predictions become ever more accurate, the more past observations serve as input? This leads to the quantum rule for adding the complex square roots of probabilities, and not to adding the probabilities themselves, as classical probability would have it.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 13:48:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Summhammer", "Johann", "" ] ]
quant-ph/9910040
Alberto C. de la Torre
A. C. de la Torre, A. Daleo, I. Garcia-Mata
The Photon-Box Bohr-Einstein Debate Demithologized
10 pages, revtex, no figures
Eur. J. Phys. 21, 253-260, 2000.
null
null
quant-ph
null
The legendary discussion between Einstein and Bohr concerning the photon box experiment is critically analyzed. It is shown that Einstein's argument is flawed and Bohr's reply is wrong.
[ { "version": "v1", "created": "Fri, 8 Oct 1999 22:44:53 GMT" } ]
2007-05-23T00:00:00
[ [ "de la Torre", "A. C.", "" ], [ "Daleo", "A.", "" ], [ "Garcia-Mata", "I.", "" ] ]
quant-ph/9910041
Susana F. Huelga
J. M. G. Sancho (1) and S. F. Huelga (1,2) ((1) Departamento de Fisica. Universidad de Oviedo. Spain. (2) Optics Section. The Blackett Laboratory. Imperial College. London, UK)
Measuring the entanglement of bipartite pure states
1 figure
null
10.1103/PhysRevA.61.042303
null
quant-ph
null
The problem of the experimental determination of the amount of entanglement of a bipartite pure state is addressed. We show that measuring a single observable does not suffice to determine the entanglement of a given unknown pure state of two particles. Possible minimal local measuring strategies are discussed and a comparison is made on the basis of their best achievable precision.
[ { "version": "v1", "created": "Sat, 9 Oct 1999 10:46:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Sancho", "J. M. G.", "" ], [ "Huelga", "S. F.", "" ] ]
quant-ph/9910042
Bassano Vacchini
L. Lanz, O. Melsheimer and B. Vacchini
Description of isolated macroscopic systems inside quantum mechanics
13 pages, latex, romp31 style, no figures, to appear in the Proceedings of the XXXI Symposium on Mathematical Physics (Torun, Poland), to be published in Rep. Math. Phys
Rep. Math. Phys. 46 (2000) 191-202
10.1016/S0034-4877(01)80023-9
null
quant-ph
null
For an isolated macrosystem classical state parameters $\zeta(t)$ are introduced inside a quantum mechanical treatment. By a suitable mathematical representation of the actual preparation procedure in the time interval $[T,t_0]$ a statistical operator is constructed as a solution of the Liouville von Neumann equation, exhibiting at time $t$ the state parameters $\zeta(t')$, $t_0\leq t' \leq t$, and {\it preparation parameters} related to times $T \leq t'\leq t_0$. Relation with Zubarev's non-equilibrium statistical operator is discussed. A mechanism for memory loss is investigated and time evolution by a semigroup is obtained for a restricted set of relevant observables, slowly varying on a suitable time scale.
[ { "version": "v1", "created": "Sat, 9 Oct 1999 13:57:06 GMT" } ]
2009-10-31T00:00:00
[ [ "Lanz", "L.", "" ], [ "Melsheimer", "O.", "" ], [ "Vacchini", "B.", "" ] ]
quant-ph/9910043
Jian-Wei Pan
Dik Bouwmeester, Jian-Wei Pan, Harald Weinfurter, and Anton Zeilinger
High-Fidelity Teleportation of Independent Qubits
13 pages, Latex, 5 figures(eps), to appear in Journal of Modern Optics
null
10.1080/09500340008244042
null
quant-ph
null
Quantum teleportation is one of the essential primitives of quantum communication. We suggest that any quantum teleportation scheme can be characterized by its efficiency, i.e. how often it succeeds to teleport, its fidelity, i.e. how well the input state is reproduced at the output, and by its insensitivity to cross talk, i.e. how well it rejects an input state that is not intended to teleport. We discuss these criteria for the two teleportation experiments of independent qubits which have been performed thus far. In the first experiment (Nature {\bf 390},575 (1997)) where the qubit states were various different polarization states of photons, the fidelity of teleportation was as high as 0.80 $\pm$ 0.05 thus clearly surpassing the limit of 2/3 which can, in principle, be obtained by a direct measurement on the qubit and classical communication. This high fidelity is confirmed in our second experiment (Phys. Rev. Lett. {\bf 80}, 3891 (1998)), demonstrating entanglement swapping, that is, realizing the teleportation of a qubit which itself is still entangled to another one. This experiment is the only one up to date that demonstrates the teleportation of a genuine unknown quantum state.
[ { "version": "v1", "created": "Sat, 9 Oct 1999 14:08:52 GMT" } ]
2015-06-26T00:00:00
[ [ "Bouwmeester", "Dik", "" ], [ "Pan", "Jian-Wei", "" ], [ "Weinfurter", "Harald", "" ], [ "Zeilinger", "Anton", "" ] ]
quant-ph/9910044
Theor. Phys. Group
Qiong-gui Lin
Scattering of relativistic particles by a Coulomb field in two dimensions
REVTeX, 9 pages, no figure
Phys.Lett. A260 (1999) 17-23
10.1016/S0375-9601(99)00507-1
null
quant-ph hep-th
null
The scattering of relativistic Dirac particles by a Coulomb field $\pm Ze^2/r$ in two dimensions is studied and the scattering amplitude is obtained as a partial wave series. For small $Z$ the series can be summed up approximately to give a closed form. The result, though being aproximate, exhibites some nonperturbative feature and cannot be obtained from perturbative quantum electrodynamics at the tree level.
[ { "version": "v1", "created": "Mon, 11 Oct 1999 13:16:26 GMT" } ]
2016-09-08T00:00:00
[ [ "Lin", "Qiong-gui", "" ] ]
quant-ph/9910045
Dagomir Kaszlikowski
Marek Zukowski and Dagomir Kaszlikowski
Critical visibility for N-particle Greenberger-Horne-Zeilinger correlations to violate local realism
8 pages, LaTex
Phys. Rev. A 56, 1997, R1685
null
null
quant-ph
null
A sequence of Bell inequalities for N-particle systems, which involve three settings of each of the local measuring apparatuses, is derived. For Greenberger-Horne-Zeilinger states, quantum mechanics violates these inequalities by factors exponentially growing with N. The threshold visibilities of the multiparticle sinusoidal interference fringes, for which local realistic theories are ruled out, decrease as (2/3)^N.
[ { "version": "v1", "created": "Mon, 11 Oct 1999 16:26:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Zukowski", "Marek", "" ], [ "Kaszlikowski", "Dagomir", "" ] ]
quant-ph/9910046
Nipun Vats
Nipun Vats, Terry Rudolph and Sajeev John
Quantum information processing in localized modes of light within a photonic band-gap material
RevTeX, 4 pages, 2 figures
null
null
null
quant-ph physics.atom-ph
null
The single photon occupation of a localized field mode within an engineered network of defects in a photonic band-gap (PBG) material is proposed as a unit of quantum information (qubit). Qubit operations are mediated by optically-excited atoms interacting with these localized states of light as the atoms traverse the connected void network of the PBG structure. We describe conditions under which this system can have independent qubits with controllable interactions and very low decoherence, as required for quantum computation.
[ { "version": "v1", "created": "Mon, 11 Oct 1999 19:49:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Vats", "Nipun", "" ], [ "Rudolph", "Terry", "" ], [ "John", "Sajeev", "" ] ]
quant-ph/9910047
Weiqin Chao
R. Friedberg, T. D. Lee, W. Q. Zhao
Relations Between Low-lying Quantum Wave Functions and Solutions of the Hamilton-Jacobi Equation
LaTex, 48 pages, no figure
null
10.1007/BF03035922
null
quant-ph
null
We discuss a new relation between the low lying Schroedinger wave function of a particle in a one-dimentional potential V and the solution of the corresponding Hamilton-Jacobi equation with -V as its potential. The function V is $\geq 0$, and can have several minina (V=0). We assume the problem to be characterized by a small anhamornicity parameter $g^{-1}$ and a much smaller quantum tunneling parameter $\epsilon$ between these different minima. Expanding either the wave function or its energy as a formal double power series in $g^{-1}$ and $\epsilon$, we show how the coefficients of $g^{-m}\epsilon^n$ in such an expansion can be expressed in terms of definite integrals, with leading order term determined by the classical solution of the Hamilton-Jacobi equation. A detailed analysis is given for the particular example of quartic potential $V={1/2}g^2(x^2-a^2)^2$.
[ { "version": "v1", "created": "Tue, 12 Oct 1999 03:05:50 GMT" } ]
2009-10-31T00:00:00
[ [ "Friedberg", "R.", "" ], [ "Lee", "T. D.", "" ], [ "Zhao", "W. Q.", "" ] ]
quant-ph/9910048
Christoph Simon
Christoph Simon, Gregor Weihs, and Anton Zeilinger (University of Vienna)
Optimal Quantum Cloning via Stimulated Emission
4 pages, 3 figures
Phys. Rev. Lett. 84, 2993 (2000)
10.1103/PhysRevLett.84.2993
null
quant-ph
null
We show that optimal universal quantum cloning can be realized via stimulated emission. Universality of the cloning procedure is achieved by choosing systems that have appropriate symmetries. We first discuss a scheme based on stimulated emission in certain three-level-systems, e.g. atoms in a cavity. Then we present a way of realizing optimal universal cloning based on stimulated parametric down-conversion. This scheme also implements the optimal universal NOT operation.
[ { "version": "v1", "created": "Tue, 12 Oct 1999 13:41:52 GMT" } ]
2009-10-31T00:00:00
[ [ "Simon", "Christoph", "", "University of\n Vienna" ], [ "Weihs", "Gregor", "", "University of\n Vienna" ], [ "Zeilinger", "Anton", "", "University of\n Vienna" ] ]
quant-ph/9910049
Pankaj Sharan
P. Chingangbam, Pankaj Sharan (Physics Department, Jamia Millia Islamia, New Delhi)
Reduced phase space quantization
3 pages, REVTEX
null
null
null
quant-ph
null
We examine two singular Lagrangian systems with constraints which apparently reduce the phase space to a 2-dimensional sphere and a 2-dimensional hyperboloid. Rigorous constraint analysis by Dirac's method, however, gives 2-dimensional open disc and an infinite plane with a hole in the centre respectively as the reduced phase spaces. Upon canonical quantisation the classical constraints show up as restrictions on the Hilbert space.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 09:37:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Chingangbam", "P.", "", "Physics Department, Jamia Millia\n Islamia, New Delhi" ], [ "Sharan", "Pankaj", "", "Physics Department, Jamia Millia\n Islamia, New Delhi" ] ]
quant-ph/9910050
Alina Suzko
A.A.Suzko (Joint Institute for Nuclear Research, Dubna, Russia)
Generalized Algebraic Bargmann - Darboux Transformations
6 pages, Latex
International Journal of Modern Physics A, 12 (1997) 277-282
10.1142/S0217751X97000414
null
quant-ph
null
Algebraic Bargmann and Darboux transformations for equations of a more general form than the Schr\"odinger ones with an additional functional dependence h(r) in the right-hand side of equations are constructed. The suggested generalized transformations turn into the Bargmann and Darboux transformations for both fixed and variable values of energy and an angular momentum.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 14:00:35 GMT" } ]
2015-06-26T00:00:00
[ [ "Suzko", "A. A.", "", "Joint Institute for Nuclear Research, Dubna, Russia" ] ]
quant-ph/9910051
A. B. Balantekin
A.N.F. Aleixo (1 and 2), A.B. Balantekin (1), and M.A. Candido Ribeiro (3) ((1) Physics Department, University of Wisconsin-Madison; (2) Instituto de Fisica, Universidade Federal do Rio de Janeiro, (3) Departamento de Fisica - Instituto de Biociencias, UNESP, Sao Jose do Rio Preto, SP, Brazil)
Barrier Penetration for Supersymmetric Shape-Invariant Potentials
null
J.Phys.A33:1503-1518,2000
10.1088/0305-4470/33/8/302
null
quant-ph nucl-th
null
Exact reflection and transmission coefficients for supersymmetric shape-invariant potentials barriers are calculated by an analytical continuation of the asymptotic wave functions obtained via the introduction of new generalized ladder operators. The general form of the wave function is obtained by the use of the F-matrix formalism of Froman and Froman which is related to the evolution of asymptotic wave function coefficients.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 14:14:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Aleixo", "A. N. F.", "", "1 and 2" ], [ "Balantekin", "A. B.", "" ], [ "Ribeiro", "M. A. Candido", "" ] ]
quant-ph/9910052
Jonathan A. Jones
J. A. Jones, V. Vedral, A. Ekert and G. Castagnoli
Geometric quantum computation with NMR
Minor additions at request of referees. 4 pages revtex including 2 figures (1 eps). Nature in press
Nature 403 869-871 (2000)
10.1038/35002528
JAJQP-99-02
quant-ph
null
The experimental realisation of the basic constituents of quantum information processing devices, namely fault-tolerant quantum logic gates, requires conditional quantum dynamics, in which one subsystem undergoes a coherent evolution that depends on the quantum state of another subsystem. In particular, the subsystem may acquire a conditional phase shift. Here we consider a novel scenario in which this phase is of geometric rather than dynamical origin. As the conditional geometric (Berry) phase depends only on the geometry of the path executed it is resilient to certain types of errors, and offers the potential of an intrinsically fault-tolerant way of performing quantum gates. Nuclear Magnetic Resonance (NMR) has already been used to demonstrate both simple quantum information processing and Berry's phase. Here we report an NMR experiment which implements a conditional Berry phase, and thus a controlled phase shift gate. This constitutes the first elementary geometric quantum computation.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 16:56:58 GMT" }, { "version": "v2", "created": "Wed, 5 Jan 2000 15:13:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Jones", "J. A.", "" ], [ "Vedral", "V.", "" ], [ "Ekert", "A.", "" ], [ "Castagnoli", "G.", "" ] ]
quant-ph/9910053
Vadim Kostrykin
Vadim Kostrykin and Robert Schrader
Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
16 pages
Fortschritte der Physik 48 (2000), 703 - 716
10.1002/1521-3978(200008)48:8<703::AID-PROP703>3.0.CO;2-O
null
quant-ph
null
In this article we continue our investigations of one particle quantum scattering theory for Schroedinger operators on a set of connected (idealized one-dimensional) wires forming a graph with an arbitrary number of open ends. The Hamiltonian is given as minus the Laplace operator with suitable linear boundary conditions at the vertices (the local Kirchhoff law). In ``Kirchhoff's rule for quantum wires'' [J. Phys. A: Math. Gen. 32, 595 - 630 (1999)] we provided an explicit algebraic expression for the resulting (on-shell) S-matrix in terms of the boundary conditions and the lengths of the internal lines and we also proved its unitarity. Here we address the inverse problem in the simplest context with one vertex only but with an arbitrary number of open ends. We provide an explicit formula for the boundary conditions in terms of the S-matrix at a fixed, prescribed energy. We show that any unitary $n\times n$ matrix may be realized as the S-matrix at a given energy by choosing appropriate (unique) boundary conditions. This might possibly be used for the design of elementary gates in quantum computing. As an illustration we calculate the boundary conditions associated to the unitary operators of some elementary gates for quantum computers and raise the issue whether in general the unitary operators associated to quantum gates should rather be viewed as scattering operators instead of time evolution operators for a given time associated to a quantum mechanical Hamiltonian.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 18:40:37 GMT" } ]
2015-06-26T00:00:00
[ [ "Kostrykin", "Vadim", "" ], [ "Schrader", "Robert", "" ] ]
quant-ph/9910054
Tony Wong
T. Wong, Ozgur Mustecaplioglu, L. You and M. Lewenstein
Scattering of short laser pulses from trapped fermions
updated figures and revised content, submitted to Phys.Rev.A
null
10.1103/PhysRevA.62.033608
null
quant-ph cond-mat
null
We investigate the scattering of intense short laser pulses off trapped cold fermionic atoms. We discuss the sensitivity of the scattered light to the quantum statistics of the atoms. The temperature dependence of the scattered light spectrum is calculated. Comparisons are made with a system of classical atoms who obey Maxwell-Boltzmann statistics. We find the total scattering increases as the fermions become cooler but eventually tails off at very low temperatures (far below the Fermi temperature). At these low temperatures the fermionic degeneracy plays an important role in the scattering as it inhibits spontaneous emission into occupied energy levels below the Fermi surface. We demonstrate temperature dependent qualitative changes in the differential and total spectrum can be utilized to probe quantum degeneracy of trapped Fermi gas when the total number of atoms are sufficiently large $(\geq 10^6)$. At smaller number of atoms, incoherent scattering dominates and it displays weak temperature dependence.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 20:33:29 GMT" }, { "version": "v2", "created": "Thu, 4 Nov 1999 16:49:27 GMT" }, { "version": "v3", "created": "Mon, 29 Nov 1999 19:27:11 GMT" }, { "version": "v4", "created": "Tue, 28 Mar 2000 21:12:40 GMT" } ]
2009-10-31T00:00:00
[ [ "Wong", "T.", "" ], [ "Mustecaplioglu", "Ozgur", "" ], [ "You", "L.", "" ], [ "Lewenstein", "M.", "" ] ]
quant-ph/9910055
Eduardo Souza Fraga
C. A. A. de Carvalho, R. M. Cavalcanti, E. S. Fraga and S. E. Jor\'as
Semiclassical approximation to the partition function of a particle in D dimensions
REVTEX,14 pages, 2 figures, final version to appear in Phys. Rev. E
Phys.Rev. E61 (2000) 6392
10.1103/PhysRevE.61.6392
UCLA/99/TEP/33
quant-ph cond-mat.stat-mech hep-ph hep-th
null
We use a path integral formalism to derive the semiclassical series for the partition function of a particle in D dimensions. We analyze in particular the case of attractive central potentials, obtaining explicit expressions for the fluctuation determinant and for the semiclassical two-point function in the special cases of the harmonic and single-well quartic anharmonic oscillators. The specific heat of the latter is compared to precise WKB estimates. We conclude by discussing the possible extension of our results to field theories.
[ { "version": "v1", "created": "Wed, 13 Oct 1999 23:22:38 GMT" }, { "version": "v2", "created": "Wed, 15 Mar 2000 01:01:05 GMT" } ]
2009-10-31T00:00:00
[ [ "de Carvalho", "C. A. A.", "" ], [ "Cavalcanti", "R. M.", "" ], [ "Fraga", "E. S.", "" ], [ "Jorás", "S. E.", "" ] ]
quant-ph/9910056
Crispin Gardiner
C.W. Gardiner, J. Ye, H.C. Nagerl and H.J. Kimble
Evaluation of heating effects on atoms trapped in an optical trap
3 pages TeX plus 4 postscript files
null
10.1103/PhysRevA.61.045801
null
quant-ph
null
We solve a stochastic master equation based on the theory of Savard et al. [T.A. Savard, K.M. O'Hara and J.E. Thomas, Phys. Rev. A 56, R1095 (1997)] for heating arising from fluctuations in the trapping laser intensity. We compare with recent experiments of Ye et. al. [J. Ye, D.W. Vernooy and H.J. Kimble, Trapping of single atoms in cavity QED, quant-ph/9908007, Phys. Rev. Lett. (1999 in press)], and find good agreement with the experimental measurements of the distribution of trap occupancy times. The major cause of trap loss arises from the broadening of the energy distribution of the trapped atom, rather than the mean heating rate, which is a very much smaller effect.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 01:09:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Gardiner", "C. W.", "" ], [ "Ye", "J.", "" ], [ "Nagerl", "H. C.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/9910057
Bill Munro
W. J. Munro, G. J. Milburn and B. C. Sanders
Entangled Coherent State Qubits in an Ion Trap
4 pages, No figures, accepted to PRA, minor change
Physical Review A 62, 052108 (2000).
10.1103/PhysRevA.62.052108
null
quant-ph
null
We show how entangled qubits can be encoded as entangled coherent states of two-dimensional centre-of-mass vibrational motion for two ions in an ion trap. The entangled qubit state is equivalent to the canonical Bell state, and we introduce a proposal for entanglement transfer from the two vibrational modes to the electronic states of the two ions in order for the Bell state to be detected by resonance fluorescence shelving methods.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 01:17:46 GMT" }, { "version": "v2", "created": "Mon, 7 Aug 2000 01:26:17 GMT" } ]
2009-10-31T00:00:00
[ [ "Munro", "W. J.", "" ], [ "Milburn", "G. J.", "" ], [ "Sanders", "B. C.", "" ] ]
quant-ph/9910058
Dagomir Kaszlikowski
Marek Zukowski, Dagomir Kaszlikowski, Adam Baturo and Jan-{\AA}ke Larsson
Strengthening the Bell Theorem: conditions to falsify local realism in an experiment
4 pages, RevTex
null
null
null
quant-ph
null
The two-particle correlation obtained from the quantum state used in the Bell inequality is sinusoidal, but the standard Bell inequality only uses two pairs of settings and not the whole sinusoidal curve. The highest to-date visibility of an explicit model reproducing sinusoidal fringes is 2/pi. We conjecture from a numerical approach presented in this paper that the highest possible visibility for a local hidden variable model reproducing the sinusoidal character of the quantum prediction for the two-particle Bell-type interference phenomena is 1/sqrt2. In addition, the approach can be applied directly to experimental data.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 09:55:36 GMT" } ]
2022-03-16T00:00:00
[ [ "Zukowski", "Marek", "" ], [ "Kaszlikowski", "Dagomir", "" ], [ "Baturo", "Adam", "" ], [ "Larsson", "Jan-Åke", "" ] ]
quant-ph/9910059
Markus Grassl
Markus Grassl, Willi Geiselmann, and Thomas Beth (Universitaet Karlsruhe)
Quantum Reed-Solomon Codes
Summary only (2 pages), for the full version see: Proceedings Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13), Lecture Notes in Computer Science 1719, Springer, 1999
null
10.1007/3-540-46796-3_23
null
quant-ph
null
After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed. Finally, parameters of quantum BCH codes are provided.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 10:56:26 GMT" } ]
2011-10-20T00:00:00
[ [ "Grassl", "Markus", "", "Universitaet\n Karlsruhe" ], [ "Geiselmann", "Willi", "", "Universitaet\n Karlsruhe" ], [ "Beth", "Thomas", "", "Universitaet\n Karlsruhe" ] ]
quant-ph/9910060
Markus Grassl
Markus Grassl and Thomas Beth (Universitaet Karlsruhe)
Quantum BCH Codes
null
Proceedings X. International Symposium on Theoretical Electrical Engineering, Magdeburg, 1999, pp. 207-212
null
null
quant-ph
null
After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed. Finally, parameters of quantum BCH codes are provided.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 13:10:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Grassl", "Markus", "", "Universitaet Karlsruhe" ], [ "Beth", "Thomas", "", "Universitaet Karlsruhe" ] ]
quant-ph/9910061
Markus Grassl
Markus Grassl and Thomas Beth (Universitaet Karlsruhe)
Cyclic Quantum Error-Correcting Codes and Quantum Shift Registers
18 pages, 15 figures, submitted to Proc. R. Soc. A
Proc. R. Soc. Lond. A (2000) 456, 2689-2706
10.1098/rspa.2000.0633
null
quant-ph
null
We transfer the concept of linear feed-back shift registers to quantum circuits. It is shown how to use these quantum linear shift registers for encoding and decoding cyclic quantum error-correcting codes.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 11:09:17 GMT" } ]
2009-10-31T00:00:00
[ [ "Grassl", "Markus", "", "Universitaet Karlsruhe" ], [ "Beth", "Thomas", "", "Universitaet Karlsruhe" ] ]
quant-ph/9910062
Izumi Tsutsui
Tamas Fulop and Izumi Tsutsui
A Free Particle on a Circle with Point Interaction
Plain TeX, 14 pages
null
10.1016/S0375-9601(99)00850-6
KEK Preprint 99-115
quant-ph math-ph math.MP
null
The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by introducing a number of subfamilies and thereby analyze the spectral structure in detail. We find that the spectrum depends on a subset of U(2) parameters rather than the entire U(2) needed for the Hamiltonians, and that in particular there exists a subfamily in U(2) where the spectrum becomes parameter-independent. We also show that, in some specific cases, the WKB semiclassical approximation becomes exact (modulo phases) for the system.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 11:34:26 GMT" } ]
2015-06-26T00:00:00
[ [ "Fulop", "Tamas", "" ], [ "Tsutsui", "Izumi", "" ] ]
quant-ph/9910063
Michael M. Wolf
Reinhard F. Werner and Michael M. Wolf
Bell's inequalities for states with positive partial transpose
4 pages, REVTeX
Phys. Rev. A 61, 062102 (2000)
10.1103/PhysRevA.61.062102
null
quant-ph
null
We study violations of n particle Bell inequalities (as developed by Mermin and Klyshko) under the assumption that suitable partial transposes of the density operator are positive. If all transposes with respect to a partition of the system into p subsystems are positive, the best upper bound on the violation is 2^((n-p)/2). In particular, if the partial transposes with respect to all subsystems are positive, the inequalities are satisfied. This is supporting evidence for a recent conjecture by Peres that positivity of partial transposes could be equivalent to existence of local classical models.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 13:01:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Werner", "Reinhard F.", "" ], [ "Wolf", "Michael M.", "" ] ]
quant-ph/9910064
Kal Gerd Vollbrecht
K.G.H. Vollbrecht and R.F. Werner
Why Two Qubits Are Special
16 pages, TeX
null
10.1063/1.1286032
null
quant-ph
null
We analyze some special properties of a system of two qubits, and in particular of the so-called Bell basis for this system, which have played an important role in recent papers on entanglement of qubits. In particular, we show which of these properties may be generalized to higher dimension. We give a general construction for bases of maximally entangled vectors in any dimension, but show that none of the properties related to complex conjugation in Bell basis can be realized for higher dimensional analogs.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 14:01:40 GMT" } ]
2009-10-31T00:00:00
[ [ "Vollbrecht", "K. G. H.", "" ], [ "Werner", "R. F.", "" ] ]
quant-ph/9910065
Carlo Presilla
Fabrizio Cametti, Giovanni Jona-Lasinio, Carlo Presilla, Fabio Toninelli
Comparison between quantum and classical dynamics in the effective action formalism
18 pages, 2 figures, contribution to the proceedings of the International School of Physics ``Enrico Fermi'', Course CXLIII
Proceedings of the International School of Physics ``Enrico Fermi'', Course CXLIII, edited by G. Casati, I. Guarneri, U. Smilansky (IOS Press, Amsterdam 2000), p. 431-448.
null
null
quant-ph chao-dyn cond-mat nlin.CD
null
No abstract available
[ { "version": "v1", "created": "Thu, 14 Oct 1999 15:39:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Cametti", "Fabrizio", "" ], [ "Jona-Lasinio", "Giovanni", "" ], [ "Presilla", "Carlo", "" ], [ "Toninelli", "Fabio", "" ] ]
quant-ph/9910066
Maria A. Lledo
Richard Arens, V. S. Varadarajan
On the concept of EPR states and their structure
Plain TeX, 22 pages
Journal of Mathematical Physics, vol. 41, n. 2 (2000) 638.
10.1063/1.533156
null
quant-ph
null
In this paper the notion of an EPR state for the composite S of two quantum systems S1, S2, relative to S2 and a set O of bounded observables of S2, is introduced in the spirit of classical examples of Einstein-Podolsky-Rosen and Bohm. We restrict ourselves mostly to EPR states of finite norm. The main results are contained in Theorem 3,4,5,6 in section III and imply that if the EPR states of finite norm relative to (S2, O) exist, then the elements of O have discrete probability distributions and the Von Neuman algebra generated by O is essentially inbeddable inside S1 by an antiunitary map. The EPR states then correspond to the different imbeddings and certain additional parameters, and are explicitely given by formulae which generalize the famous example of Bohm. If O generates all bounded observables, S2 must be of finite dimension and can be imbedded inside S1 by an antiunitary map, and the EPR states relative to S2 are then in canonical bijection with the different imbeddings of S2 inside S1; moreover they are given by formulae which are exactly those of the generalized Bohm states. The notion of EPR states of infinite norm is also explored and it is shown that the original state of Einstein-Podolsky-Rosen can be realized as a renormalized limit of EPR states of finite quantum systems considered by Weyl, Schwinger and many others. Finally, a family of states of infinite norm generalizing the Einstein-Podolsky-Rosen example is explicitly given.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 17:17:34 GMT" }, { "version": "v2", "created": "Fri, 15 Oct 1999 10:05:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Arens", "Richard", "" ], [ "Varadarajan", "V. S.", "" ] ]
quant-ph/9910067
Daniel Gottesman
Daniel Gottesman
On the Theory of Quantum Secret Sharing
9 pages, REVTeX
Phys. Rev. A 61, 042311 (2000)
10.1103/PhysRevA.61.042311
null
quant-ph
null
I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum secret sharing scheme must be at least as large as the size of the secret. I show that the only constraints on the existence of quantum secret sharing schemes with general access structures are monotonicity (if a set is authorized, so are larger sets) and the no-cloning theorem. I also discuss some aspects of sharing classical secrets using quantum states. In this situation, the size of each share can sometimes be half the size of the classical secret.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 19:00:54 GMT" } ]
2009-10-31T00:00:00
[ [ "Gottesman", "Daniel", "" ] ]
quant-ph/9910068
Ilki Kim
Ilki Kim, Guenter Mahler
Quantum chaos in quantum Turing machines
Accepted for publication in Phys. Lett. A, 3 figures
null
10.1016/S0375-9601(99)00720-3
null
quant-ph
null
We investigate a 2-spin quantum Turing architecture, in which discrete local rotations \alpha_m of the Turing head spin alternate with quantum controlled NOT-operations. We demonstrate that a single chaotic parameter input \alpha_m leads to a chaotic dynamics in the entire Hilbert-space.
[ { "version": "v1", "created": "Thu, 14 Oct 1999 23:14:01 GMT" }, { "version": "v2", "created": "Mon, 18 Oct 1999 15:29:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Kim", "Ilki", "" ], [ "Mahler", "Guenter", "" ] ]
quant-ph/9910069
Kazuyuki Fujii
Kazuyuki Fujii
Note on Coherent States and Adiabatic Connections, Curvatures
Latex file, 12 pages
J.Math.Phys. 41 (2000) 4406-4412
10.1063/1.533350
null
quant-ph hep-th math-ph math.MP
null
We give a possible generalization to the example in the paper of Zanardi and Rasetti (quant-ph/9904011). For this generalized one explicit forms of adiabatic connection, curvature and etc. are given.
[ { "version": "v1", "created": "Fri, 15 Oct 1999 01:46:04 GMT" } ]
2009-10-31T00:00:00
[ [ "Fujii", "Kazuyuki", "" ] ]
quant-ph/9910070
Fabrizio Illuminati
N. Cufaro Petroni, S. De Martino, S. De Siena, and F. Illuminati
Controlled quantum evolutions and transitions
24 pages, 4 figures
J. Phys. A 32, 7489-7508 (1999)
10.1088/0305-4470/32/43/305
null
quant-ph
null
We study the nonstationary solutions of Fokker-Planck equations associated to either stationary or nonstationary quantum states. In particular we discuss the stationary states of quantum systems with singular velocity fields. We introduce a technique that allows to realize arbitrary evolutions ruled by these equations, to account for controlled quantum transitions. The method is illustrated by presenting the detailed treatment of the transition probabilities and of the controlling time-dependent potentials associated to the transitions between the stationary, the coherent, and the squeezed states of the harmonic oscillator. Possible extensions to anharmonic systems and mixed states are briefly discussed and assessed.
[ { "version": "v1", "created": "Fri, 15 Oct 1999 10:11:55 GMT" } ]
2009-10-31T00:00:00
[ [ "Petroni", "N. Cufaro", "" ], [ "De Martino", "S.", "" ], [ "De Siena", "S.", "" ], [ "Illuminati", "F.", "" ] ]
quant-ph/9910071
Rajkumar Roychoudhury
A.Sinha and R.Roychoudhury
WKB and MAF Quantization Rules for Spatially Confined Quantum Mechanical Systems
null
Int.J.Quant.Chemistry 73 (1999) 497
null
null
quant-ph
null
A formalism is developed to obtain the energy eigenvalues of spatially confined quantum mechanical systems in the framework of The usual WKB and MAF methods. The technique is applied to three different cases,viz one dimensional Harmonic Oscillators,Quartic Oscillators and a boxed-in charged particle in electric field.
[ { "version": "v1", "created": "Fri, 15 Oct 1999 12:53:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Sinha", "A.", "" ], [ "Roychoudhury", "R.", "" ] ]
quant-ph/9910072
Howard N. Barnum
Howard N. Barnum
Quantum secure identification using entanglement and catalysis
7 pages; no figures
null
null
null
quant-ph
null
I consider the use of entanglement between two parties to enable one to authenticate her identity to another over a quantum communication channel. Exploiting the phenomenon of entanglement-catalyzed transformations between pure states gives a potentially reusable entangled identification token. In analyzing this, I consider the independently interesting problem of the best possible approximation to a given pure entangled state realizable using local actions and classical communication by parties sharing a different entangled state.
[ { "version": "v1", "created": "Fri, 15 Oct 1999 15:52:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Barnum", "Howard N.", "" ] ]
quant-ph/9910073
Yu Shi
Yu Shi
Entanglement Between Bose-Einstein Condensates
18 pages. Eq. (73) is changed
Int. J. Mod. Phys. B, Vol. 15 (2001) 3007-3030
10.1142/S0217979201007154
null
quant-ph
null
For a Bose condensate in a double-well potential or with two Josephson-coupled internal states, the condensate wavefunction is a superposition. Here we consider coupling two such Bose condensates, and suggest the existence of a joint condensate wavefunction, which is in general a superposition of all products of the bases condensate wavefunctions of the two condensates. The corresponding many-body state is a product of such superposed wavefunctions, with appropriate symmetrization. These states may be potentially useful for quantum computation. There may be robustness and stability due to macroscopic occupation of a same single particle state. The nonlinearity of the condensate wavefunction due to particle-particle interaction may be utilized to realize nonlinear quantum computation, which was suggested to be capable of solving NP-complete problems.
[ { "version": "v1", "created": "Fri, 15 Oct 1999 16:32:13 GMT" }, { "version": "v2", "created": "Sun, 17 Oct 1999 23:52:34 GMT" }, { "version": "v3", "created": "Wed, 20 Oct 1999 00:07:10 GMT" }, { "version": "v4", "created": "Tue, 1 Feb 2000 16:11:38 GMT" }, { "version": "v5", "created": "Tue, 27 Jun 2000 21:53:24 GMT" }, { "version": "v6", "created": "Sat, 9 Jun 2001 21:53:01 GMT" }, { "version": "v7", "created": "Mon, 20 Aug 2001 10:03:38 GMT" }, { "version": "v8", "created": "Thu, 27 Jun 2002 10:02:26 GMT" } ]
2009-10-31T00:00:00
[ [ "Shi", "Yu", "" ] ]
quant-ph/9910074
Euro Spallucci
S.Ansoldi, A.Aurilia, E.Spallucci
Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation
LaTex uses iopams package, 15pages, no figures, in print on Euro.J.of Phys
Eur.J.Phys. 21 (2000) 1-12
10.1088/0143-0807/21/1/301
null
quant-ph hep-th
null
This paper suggests a new way to compute the path integral for simple quantum mechanical systems. The new algorithm originated from previous research in string theory. However, its essential simplicity is best illustrated in the case of a free non relativistic particle, discussed here, and can be appreciated by most students taking an introductory course in Quantum Mechanics. Indeed, the emphasis is on the role played by the {\it entire family of classical trajectories} in terms of which the path integral is computed exactly using a functional representation of the Dirac delta-distribution. We argue that the new algorithm leads to a deeper insight into the connection between classical and quantum systems, especially those encountered in high energy physics.
[ { "version": "v1", "created": "Sat, 16 Oct 1999 08:30:01 GMT" } ]
2009-10-31T00:00:00
[ [ "Ansoldi", "S.", "" ], [ "Aurilia", "A.", "" ], [ "Spallucci", "E.", "" ] ]
quant-ph/9910075
Lieven Vandersypen
Lieven M.K. Vandersypen (1 and 2), Matthias Steffen (1 and 2), Mark H. Sherwood (2), Costantino S. Yannoni (2), Gregory Breyta (2) and Isaac L. Chuang (2) ((1) Solid State and Photonics Laboratory, Stanford University (2) IBM Almaden Research Center)
Implementation of a three-quantum-bit search algorithm
Published in Applied Physics Letters, vol. 76, no. 5, 31 January 2000, p.646-648, after minor revisions. (revtex, mypsfig2.sty, 3 figures)
null
10.1063/1.125846
null
quant-ph
null
We report the experimental implementation of Grover's quantum search algorithm on a quantum computer with three quantum bits. The computer consists of molecules of $^{13}$C-labeled CHFBr$_2$, in which the three weakly coupled spin-1/2 nuclei behave as the bits and are initialized, manipulated, and read out using magnetic resonance techniques. This quantum computation is made possible by the introduction of two techniques which significantly reduce the complexity of the experiment and by the surprising degree of cancellation of systematic errors which have previously limited the total possible number of quantum gates.
[ { "version": "v1", "created": "Sat, 16 Oct 1999 21:51:41 GMT" }, { "version": "v2", "created": "Tue, 1 Feb 2000 20:22:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Vandersypen", "Lieven M. K.", "", "1 and 2" ], [ "Steffen", "Matthias", "", "1 and 2" ], [ "Sherwood", "Mark H.", "" ], [ "Yannoni", "Costantino S.", "" ], [ "Breyta", "Gregory", "" ], [ "Chuang", "Isaac L.", "" ] ]
quant-ph/9910076
Gui Lu Long
Gui Lu Long, Yan Song Li, Wei Lin Zhang and Chang Cun Tu
An intrinsic limitation on the size of quantum database
6 pages, 3 figures
null
null
null
quant-ph
null
It is found that Grover's quantum search algorithm is not robust against phase inversion and Hadmard transformation inaccuracies. Imperfect phase inversions and Hadmard-Walsh transformations in Grover's quantum search algorithm lead to reductions in the maximum probability of the marked state and affect the efficiency of the algorithm. even in the absence of decoherence. Given the degrees of inaccuracies, we find that to guarantee half rate of success, the size of the database should be in the order of $O({1 \over \delta^2})$, where $\delta$ is the uncertainty.
[ { "version": "v1", "created": "Sat, 16 Oct 1999 23:51:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Long", "Gui Lu", "" ], [ "Li", "Yan Song", "" ], [ "Zhang", "Wei Lin", "" ], [ "Tu", "Chang Cun", "" ] ]
quant-ph/9910077
Reinhard Werner
R.F. Werner (Inst. Math. Phys., TU-Braunschweig)
EPR states for von Neumann algebras
2 pages, RevTeX
null
null
TUBS/IMaPh-99-xx
quant-ph
null
In a recent paper [quant-ph/9910066], Arens and Varadarajan gave a characterization of what they call EPR-states on a bipartite composite quantum system. By definition, such states imply perfect correlation between suitable pairs of observables in the two subsystems, and the task is to determine all such correlated pairs for a given state. In this note the argument is shortened and simplified, and at the same time extended to observables in general von Neumann algebras, which naturally arise in quantum field theory.
[ { "version": "v1", "created": "Sun, 17 Oct 1999 22:26:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Werner", "R. F.", "", "Inst. Math. Phys., TU-Braunschweig" ] ]
quant-ph/9910078
Asher Peres
Asher Peres
Popper's experiment and the Copenhagen interpretation
13 pages LaTeX, one separate page of figures, submitted to SHPMP
Stud. History Philos. Modern Physics 33 (2002) 23
null
null
quant-ph
null
Popper conceived an experiment whose analysis led to a result that he deemed absurd. Popper wrote that his reasoning was based on the Copenhagen interpretation and therefore invalidated the latter. Actually, Popper's argument involves counterfactual reasoning and violates Bohr's complementarity principle. The absurdity of Popper's result only confirms Bohr's approach.
[ { "version": "v1", "created": "Mon, 18 Oct 1999 08:16:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9910079
Bjorn Jensen
B. Jensen and I. Brevik
Transition Radiation and the Origin of Sonoluminescence
13 pages. Discussion improved and references added. To appear in Phys. Rev. E
Phys.Rev.E61:6639,2000
10.1103/PhysRevE.61.6639
null
quant-ph hep-th physics.flu-dyn
null
It has been shown by Liberati et al. [quant-ph/9904013] that a dielectric medium with a time-dependent refractive index may produce photons. We point out that a free electric charge which interacts with such a medium will emit quantum mechanically modified transition radiation in which an arbitrary odd number of photons will be present. Excited atomic electrons will also exhibit a similarly modified emission spectrum. This effect may be directly observable in connection with sonoluminescence.
[ { "version": "v1", "created": "Mon, 18 Oct 1999 21:12:00 GMT" }, { "version": "v2", "created": "Mon, 20 Mar 2000 11:51:45 GMT" } ]
2009-01-14T00:00:00
[ [ "Jensen", "B.", "" ], [ "Brevik", "I.", "" ] ]
quant-ph/9910080
Mark M. Mims
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria
Purification of impure density operators and the recovery of entanglements
6 pages
null
null
CPP-99-17
quant-ph
null
The need to retain the relative phases in quantum mechanics implies an addition law parametrized by a phase of two density operators required for the purification of a density matrix. This is shown with quantum tomography and the Wigner function. Entanglement is determined in terms of phase dependent multiplication.
[ { "version": "v1", "created": "Mon, 18 Oct 1999 21:14:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Man'ko", "V. I.", "" ], [ "Marmo", "G.", "" ], [ "Sudarshan", "E. C. G.", "" ], [ "Zaccaria", "F.", "" ] ]
quant-ph/9910081
Dorit Aharonov
Dorit Aharonov
A Quantum to Classical Phase Transition in Noisy Quantum Computers
15 pages. Latex2e plus one figure in eps file
null
10.1103/PhysRevA.62.062311
null
quant-ph
null
The fundamental problem of the transition from quantum to classical physics is usually explained by decoherence, and viewed as a gradual process. The study of entanglement, or quantum correlations, in noisy quantum computers implies that in some cases the transition from quantum to classical is actually a phase transition. We define the notion of entanglement length in $d$-dimensional noisy quantum computers, and show that a phase transition in entanglement occurs at a critical noise rate, where the entanglement length transforms from infinite to finite. Above the critical noise rate, macroscopic classical behavior is expected, whereas below the critical noise rate, subsystems which are macroscopically distant one from another can be entangled. The macroscopic classical behavior in the super-critical phase is shown to hold not only for quantum computers, but for any quantum system composed of macroscopically many finite state particles, with local interactions and local decoherence, subjected to some additional conditions. This phenomenon provides a possible explanation to the emergence of classical behavior in such systems. A simple formula for an upper bound on the entanglement length of any such system in the super-critical phase is given, which can be tested experimentally.
[ { "version": "v1", "created": "Tue, 19 Oct 1999 02:19:39 GMT" } ]
2016-09-08T00:00:00
[ [ "Aharonov", "Dorit", "" ] ]
quant-ph/9910082
Larry Horwitz
Y. Strauss and L.P. Horwitz
Representation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory
Tex, 15 pages, report TAUP 2588-99. Proceedings of Solvay Conference Les Treilles 3-8 July, 1999. To be published in Chaos, Solitons and Fractals
null
null
null
quant-ph
null
We apply the quantum Lax-Phillips scattering theory to a relativistically covariant quantum field theoretical form of the (soluble) Lee model. We construct the translation representations with the help of the wave operators, and show that the resulting Lax-Phillips $S$-matrix is an inner function (the Lax-Phillips theory is essentially a theory of translation invariant subspaces). We then discuss the non-relativistic limit of this theory, and show that the resulting kinematic relations coincide with the conditions required for the Galilean description of a decaying system.
[ { "version": "v1", "created": "Tue, 19 Oct 1999 16:11:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Strauss", "Y.", "" ], [ "Horwitz", "L. P.", "" ] ]
quant-ph/9910083
Marcelo Aparecido Marchiolli
Marcelo A. Marchiolli, Salomon S. Mizrahi, Victor V. Dodonov
Marginal and correlation distribution functions in the squeezed-states representation
11 pages, 12 EPS figures, figures 1(a)-(d) can be obtained with the first author, accepted for publication in Journal Physics A
null
10.1088/0305-4470/32/49/311
null
quant-ph
null
Here we consider the Husimi function P for the squeezed states and calculate the marginal and correlation distribution functions when P is projected onto the photon number states. According to the value of the squeezing parameter one verifies the occurence of oscillations and beats as already appointed in the literature. We verify that these phenomena are entirely contained in the correlation function. In particular, we show that since Husimi and its marginal distribution functions satisfy partial differential equations where the squeeze parameter plays the role of time, the solutions (the squeezed functions obtained from initial unsqueezed functions) can be expressed by means of kernels responsible for the propagation of squeezing. From the calculational point of view, this method presents advantages for calculating the marginal distribution functions (compared to a direct integration over one of the two phase-space variables of P) since one can use the symmetry properties of the differential equations.
[ { "version": "v1", "created": "Tue, 19 Oct 1999 18:20:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Marchiolli", "Marcelo A.", "" ], [ "Mizrahi", "Salomon S.", "" ], [ "Dodonov", "Victor V.", "" ] ]
quant-ph/9910084
Pieter Kok
Pieter Kok and Samuel L. Braunstein
Detection devices in entanglement-based optical state preparation
8 pages, 4 figures REVTeX
Phys. Rev. A 63, 033812 (2001)
10.1103/PhysRevA.63.033812
null
quant-ph
null
We study the use of detection devices in entanglement-based state preparation. In particular we consider optical detection devices such as single-photon sensitivity detectors, single-photon resolution detectors and detector cascades (with an emphasis on the performance of realistic detectors). We develop an extensive theory for the use of these devices. In entanglement-based state preparation we perform measurements on subsystems, and we therefore need precise bounds on the distinguishability of these measurements (this is fundamentally different from, e.g., tomography, where an ensemble of identical states is used to determine probability distributions, etc.). To this end, we introduce the confidence of preparation, which may also be used to quantify the performance of detection devices in entanglement-based preparation. We give a general expression for detector cascades of arbitrary size for the detection up to two photons. We show that, contrary to the general belief, cascading does not give a practical advantage over detectors with single-photon resolution in entanglement-based state preparation.
[ { "version": "v1", "created": "Wed, 20 Oct 1999 12:08:17 GMT" }, { "version": "v2", "created": "Tue, 20 Feb 2001 12:00:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Kok", "Pieter", "" ], [ "Braunstein", "Samuel L.", "" ] ]
quant-ph/9910085
Massimiliano F. Sacchi
G. Mauro D'Ariano, Massimiliano F. Sacchi, Prem Kumar
Universal homodyne tomography with a single local oscillator
12 pages, 5 figures (8 eps files)
Phys. Rev. A, 61, 013806 (2000).
10.1103/PhysRevA.61.013806
null
quant-ph
null
We propose a general method for measuring an arbitrary observable of a multimode electromagnetic field using homodyne detection with a single local oscillator. In this method the local oscillator scans over all possible linear combinations of the modes. The case of two modes is analyzed in detail and the feasibility of the measurement is studied on the basis of Monte-Carlo simulations. We also provide an application of this method in tomographic testing of the GHZ state.
[ { "version": "v1", "created": "Wed, 20 Oct 1999 12:41:19 GMT" } ]
2009-10-31T00:00:00
[ [ "D'Ariano", "G. Mauro", "" ], [ "Sacchi", "Massimiliano F.", "" ], [ "Kumar", "Prem", "" ] ]
quant-ph/9910086
Martin Plenio
Martin B. Plenio (Imperial College, London, UK)
The Holevo bound and Landauer's principle
to appear in Physics Letters A
Phys. Lett. A 263, 281 - 284 (1999)
10.1016/S0375-9601(99)00737-9
null
quant-ph
null
Landauer's principle states that the erasure of information generates a corresponding amount of entropy in the environment. We show that Landauer's principle provides an intuitive basis for Holevo bound on the classical capacity of a quantum channel.
[ { "version": "v1", "created": "Wed, 20 Oct 1999 13:36:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Plenio", "Martin B.", "", "Imperial College, London, UK" ] ]
quant-ph/9910087
Adrian Kent
Adrian Kent (DAMTP, University of Cambridge)
Unconditionally Secure Commitment of a Certified Classical Bit is Impossible
5 pages, RevTeX. Minor clarification made distinguishing proper and improper mixed state commitments
Phys. Rev. A 61, 042301 (2000)
10.1103/PhysRevA.61.042301
DAMTP-1999-51
quant-ph cs.CR
null
In a secure bit commitment protocol involving only classical physics, A commits either a 0 or a 1 to B. If quantum information is used in the protocol, A may be able to commit a state of the form $\alpha \ket{0} + \beta \ket{1}$. If so, she can also commit mixed states in which the committed bit is entangled with other quantum states under her control. We introduce here a quantum cryptographic primitive, {\it bit commitment with a certificate of classicality} (BCCC), which differs from standard bit commitment in that it guarantees that the committed state has a fixed classical value. We show that no unconditionally secure BCCC protocol based on special relativity and quantum theory exists. We also propose complete definitions of security for quantum and relativistic bit commitment.
[ { "version": "v1", "created": "Wed, 20 Oct 1999 21:09:56 GMT" }, { "version": "v2", "created": "Wed, 3 Nov 1999 21:15:11 GMT" } ]
2009-10-31T00:00:00
[ [ "Kent", "Adrian", "", "DAMTP, University of Cambridge" ] ]
quant-ph/9910088
Karol Zyczkowski
Karol Zyczkowski (Cracow/Warsaw)
Localization of Eigenstates & Mean Wehrl Entropy
7 pages in Latex with 4 pictures in .ps (included), submitted to Physica E
Physica E 9, 583 (2001)
10.1016/S1386-9477(00)00266-6
null
quant-ph chao-dyn nlin.CD
null
Dynamics of a periodically time dependent quantum system is reflected in the features of the eigenstates of the Floquet operator. Of the special importance are their localization properties quantitatively characterized by the eigenvector entropy, the inverse participation ratio or the eigenvector statistics. Since these quantities depend on the choice of the eigenbasis, we suggest to use the overcomplete basis of coherent states, uniquely determined by the classical phase space. In this way we define the mean Wehrl entropy of eigenvectors of the Floquet operator and demonstrate that this quantity is useful to describe quantum chaotic systems.
[ { "version": "v1", "created": "Thu, 21 Oct 1999 15:24:01 GMT" } ]
2009-10-31T00:00:00
[ [ "Zyczkowski", "Karol", "", "Cracow/Warsaw" ] ]
quant-ph/9910089
An Min Wang
An Min Wang
An Universal Quantum Network - Quantum CPU
8 pages, Revised version
Cheses Phys. Lett. Vol.18 p166 (2001) [ been shorten and revised]
10.1088/0256-307X/18/2/304
null
quant-ph
null
An universal quantum network which can implement a general quantum computing is proposed. In this sense, it can be called the quantum central processing unit (QCPU). For a given quantum computing, its realization of QCPU is just its quantum network. QCPU is standard and easy-assemble because it only has two kinds of basic elements and two auxiliary elements. QCPU and its realizations are scalable, that is, they can be connected together, and so they can construct the whole quantum network to implement the general quantum algorithm and quantum simulating procedure.
[ { "version": "v1", "created": "Thu, 21 Oct 1999 18:34:58 GMT" }, { "version": "v2", "created": "Mon, 1 Nov 1999 09:36:36 GMT" }, { "version": "v3", "created": "Mon, 3 Jan 2000 12:13:35 GMT" } ]
2009-10-31T00:00:00
[ [ "Wang", "An Min", "" ] ]
quant-ph/9910090
An Min Wang
An Min Wang
Quantum CPU and Quantum Simulating
8 pages, Revised Version
null
null
null
quant-ph
null
Making use of an universal quantum network or QCPU proposed by me [6], some special quantum networks for simulating some quantum systems are given out. Specially, it is obtained that the quantum network for the time evolution operator which can simulate, in general, Schr\"odinger equation.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 09:57:52 GMT" }, { "version": "v2", "created": "Mon, 1 Nov 1999 09:47:36 GMT" }, { "version": "v3", "created": "Mon, 3 Jan 2000 12:25:25 GMT" } ]
2009-09-25T00:00:00
[ [ "Wang", "An Min", "" ] ]
quant-ph/9910091
An Min Wang
An Min Wang
Quantum CPU and Quantum Algorithm
8 pages, Revised Version
Cheses Phys. Lett. Vol.19 p620 (2002) [ been shorten and revised]
10.1088/0256-307X/19/5/304
null
quant-ph
null
Making use of an universal quantum network -- QCPU proposed by me\upcite{My1}, it is obtained that the whole quantum network which can implement some the known quantum algorithms including Deutsch algorithm, quantum Fourier transformation, Shor's algorithm and Grover's algorithm.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 10:09:02 GMT" }, { "version": "v2", "created": "Mon, 1 Nov 1999 09:56:36 GMT" }, { "version": "v3", "created": "Mon, 3 Jan 2000 12:29:55 GMT" } ]
2009-10-31T00:00:00
[ [ "Wang", "An Min", "" ] ]
quant-ph/9910092
Jaroslav Rehacek
J. Rehacek, Z. Hradil, M. Dusek, O. Haderka and M. Hendrych
Testing operational phase concepts in quantum optics
8 pages, 6 figures
null
10.1088/1464-4266/2/3/304
null
quant-ph
null
An experimental comparison of several operational phase concepts is presented. In particular, it is shown that statistically motivated evaluation of experimental data may lead to a significant improvement in phase fitting upon the conventional Noh, Fouge'res and Mandel procedure. The analysis is extended to the asymptotic limit of large intensities, where a strong evidence in favor of multi--dimensional estimation procedures has been found.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 13:23:22 GMT" } ]
2015-06-26T00:00:00
[ [ "Rehacek", "J.", "" ], [ "Hradil", "Z.", "" ], [ "Dusek", "M.", "" ], [ "Haderka", "O.", "" ], [ "Hendrych", "M.", "" ] ]
quant-ph/9910093
Norbert Luetkenhaus
Norbert L\"utkenhaus
Security against individual attacks for realistic quantum key distribution
10 pages, 4 figures
Physical Review A, Vol. 61, 052304 (2000)
10.1103/PhysRevA.61.052304
null
quant-ph
null
I prove the security of quantum key distribution against individual attacks for realistic signals sources, including weak coherent pulses and downconversion sources. The proof applies to the BB84 protocol with the standard detection scheme (no strong reference pulse). I obtain a formula for the secure bit rate per time slot of an experimental setup which can be used to optimize the performance of existing schemes for the considered scenario.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 16:11:41 GMT" }, { "version": "v2", "created": "Wed, 2 Feb 2000 15:05:18 GMT" } ]
2009-10-31T00:00:00
[ [ "Lütkenhaus", "Norbert", "" ] ]
quant-ph/9910094
Mikhail Lukin
M.D.Lukin and A.Imamoglu
Nonlinear Optics and Quantum Entanglement of Ultra-Slow Single Photons
null
null
10.1103/PhysRevLett.84.1419
null
quant-ph
null
Two light pulses propagating with ultra-slow group velocities in a coherently prepared atomic gas exhibit dissipation-free nonlinear coupling of an unprecedented strength. This enables a single-photon pulse to coherently control or manipulate the quantum state of the other. Processes of this kind result in generation of entangled states of radiation field and open up new prospectives for quantum information processing.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 18:01:52 GMT" } ]
2009-10-31T00:00:00
[ [ "Lukin", "M. D.", "" ], [ "Imamoglu", "A.", "" ] ]
quant-ph/9910095
H. Bechmann-Pasquinucci
H. Bechmann-Pasquinucci, W. Tittel
Quantum Cryptography using larger alphabets
12 pages, 2 (eps) figures
null
10.1103/PhysRevA.61.062308
null
quant-ph
null
Like all of quantum information theory, quantum cryptography is traditionally based on two level quantum systems. In this letter, a new protocol for quantum key distribution based on higher dimensional systems is presented. An experimental realization using an interferometric setup is also proposed. Analyzing this protocol from the practical side, one finds an increased key creation rate while keeping the initial laser pulse rate constant. Analyzing it for the case of intercept/resend eavesdropping strategy, an increased error rate is found compared to two dimensional systems, hence an advantage for the legitimate users to detect an eavesdropper.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 18:46:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Bechmann-Pasquinucci", "H.", "" ], [ "Tittel", "W.", "" ] ]
quant-ph/9910096
Jeffrey Bub
Jeffrey Bub
Quantum Mechanics as a Principle Theory
26 pages, no figures, LaTeX. Forthcoming March 2000 in Studies in the History and Philosophy of Modern Physics
Studies in History and Philosophy of Modern Physics 31 (2000) 75
null
null
quant-ph
null
I show how quantum mechanics, like the theory of relativity, can be understood as a 'principle theory' in Einstein's sense, and I use this notion to explore the approach to the problem of interpretation developed in my book Interpreting the Quantum World (Cambridge: Cambridge University Press, 1999).
[ { "version": "v1", "created": "Fri, 22 Oct 1999 23:40:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Bub", "Jeffrey", "" ] ]
quant-ph/9910097
Jeffrey Bub
Jeffrey Bub, Rob Clifton, Sheldon Goldstein
Revised Proof of the Uniqueness Theorem for 'No Collapse' Interpretations of Quantum Mechanics
5 pages, LaTeX. Forthcoming March 2000 in Studies in the History and Philosophy of Modern Physics
Studies in History and Philosophy of Modern Physics 31 (2000) 95
null
null
quant-ph
null
We show that the Bub-Clifton uniqueness theorem for 'no collapse' interpretations of quantum mechanics (Studies in the History and Philosophy of Modern Physics 27, 181-219 (1996)) can be proved without the 'weak separability' assumption.
[ { "version": "v1", "created": "Fri, 22 Oct 1999 23:52:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Bub", "Jeffrey", "" ], [ "Clifton", "Rob", "" ], [ "Goldstein", "Sheldon", "" ] ]
quant-ph/9910098
Xiao-Guang Wang
Xiao-Guang Wang and Hong-Chen Fu
Statistical Properties and Algebraic Characteristics of Quantum Superpositions of Negative Binomial States
11 pages and 2 figures
Commun. Theor. Phys. 35, 729-734 (2001)
null
null
quant-ph
null
We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable non-classical properties and reduce to Schr\"odinger cat states in a certain limit. The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras. It is found that the even and odd negative binomial states satisfy a same eigenvalue equation with a same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such states are proposed.
[ { "version": "v1", "created": "Sat, 23 Oct 1999 14:00:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Xiao-Guang", "" ], [ "Fu", "Hong-Chen", "" ] ]
quant-ph/9910099
Michael Nielsen
Guifre Vidal, Daniel Jonathan and M. A. Nielsen
Approximate transformations and robust manipulation of bipartite pure state entanglement
11 pages, 4 figures
Phys. Rev. A 62, 012304 (2000)
10.1103/PhysRevA.62.012304
null
quant-ph
null
We analyze approximate transformations of pure entangled quantum states by local operations and classical communication, finding explicit conversion strategies which optimize the fidelity of transformation. These results allow us to determine the most faithful teleportation strategy via an initially shared partially entangled pure state. They also show that procedures for entanglement manipulation such as entanglement catalysis [Jonathan and Plenio, Phys. Rev. Lett. 83, 3566 (1999)] are robust against perturbation of the states involved, and motivate the notion of non-local fidelity, which quantifies the difference in the entangled properties of two quantum states.
[ { "version": "v1", "created": "Sat, 23 Oct 1999 22:39:25 GMT" }, { "version": "v2", "created": "Tue, 26 Oct 1999 01:20:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Vidal", "Guifre", "" ], [ "Jonathan", "Daniel", "" ], [ "Nielsen", "M. A.", "" ] ]
quant-ph/9910100
Hirotaka Sasakura
H. Sasakura and S. Muto
Quantum gates using two-electron states of triple quantum dot
4 pages(Latex2e), 5 pictures(5 ps-file)
null
null
null
quant-ph
null
Quantum computation using electron spins in three coupled dot with different size is proposed. By using the energy selectivity of both photon assisted tunneling and spin rotation of electrons, logic gates are realized by static and rotational magnetic field and resonant optical pulses. Possibility of increasing the number of quantum bits using the energy selectivity is also discussed.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 05:10:44 GMT" }, { "version": "v2", "created": "Tue, 26 Oct 1999 01:15:45 GMT" }, { "version": "v3", "created": "Wed, 27 Oct 1999 02:23:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Sasakura", "H.", "" ], [ "Muto", "S.", "" ] ]
quant-ph/9910101
S. Seshadri
S. Seshadri (1), S. Lakshmibala (2) and V. Balakrishnan (2) ((1) The Institute of Mathematical Sciences, Chennai, India, (2) Indian Institute of Technology - Madras, Chennai, India)
Control of Wave Packet Revivals Using Geometric Phases
11 pages
null
10.1023/A:1026488815731
null
quant-ph chao-dyn nlin.CD
null
Wave packets in a system governed by a Hamiltonian with a generic nonlinear spectrum typically exhibit both full and fractional revivals. It is shown that the latter can be eliminated by inducing suitable geometric phases in the states, by varying the parameters in the Hamiltonian cyclically with a period T. Further, with the introduction of this natural time step T, the occurrence of near revivals can be mapped onto that of Poincar\'{e} recurrences in an irrational rotation map of the circle. The distinctive recurrence time statistics of the latter can thus serve as a clear signature of the dynamics of wave packet revivals.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 10:40:46 GMT" } ]
2015-06-26T00:00:00
[ [ "Seshadri", "S.", "" ], [ "Lakshmibala", "S.", "" ], [ "Balakrishnan", "V.", "" ] ]
quant-ph/9910102
S. Seshadri
S. Seshadri (1), S. Lakshmibala (2) and V. Balakrishnan (2) ((1) The Institute of Mathematical Sciences, Chennai, India, (2) Indian Institute of Technology - Madras, Chennai, India)
Quantum revivals, geometric phases and circle map recurrences
9 pages
Phys. Lett. A 256 (1999) 15-19
10.1016/S0375-9601(99)00213-3
null
quant-ph chao-dyn nlin.CD
null
Revivals of the coherent states of a deformed, adiabatically and cyclically varying oscillator Hamiltonian are examined. The revival time distribution is exactly that of Poincar\'{e} recurrences for a rotation map: only three distinct revival times can occur, with specified weights. A link is thus established between quantum revivals and recurrences in a coarse-grained discrete-time dynamical system.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 10:20:34 GMT" } ]
2009-10-31T00:00:00
[ [ "Seshadri", "S.", "" ], [ "Lakshmibala", "S.", "" ], [ "Balakrishnan", "V.", "" ] ]
quant-ph/9910103
S. Arun Kumar
R.R. Puri, S. Arun Kumar, and R.K. Bullough
Stroboscopic theory of atomic statistics in the micromaser
19 pages, 15 included figures, RevTeX
null
null
null
quant-ph
null
We study the statistics of the atoms emerging from the cavity of a micromaser in a dynamical, discrete-time `stroboscopic' description which takes into account the measurements made, in general, with imperfect efficiencies, on the states of the outcoming atoms. Inverted atoms enter stochastically, in general, with a binomial distribution in discrete time; but we also consider the continuous-time limit of this input statistics which is Poissonian. We envisage two alternative experimental procedures: one of these is to consider a fixed number N of atoms pumped into the cavity and subsequently leaving it to undergo state detection; the other is to consider input of the excited atoms and their subsequent detection and collection in a fixed time t. We consider, in particular, the steady state behaviors achieved in the two limits, N -> infinity and t -> infinity, as well as the approaches to these two limits. Although these limits are the same for the state of the cavity field, they are not the same, in general, for the observable outcoming atom statistics. We evaluate, in particular, Mandel's Q-parameters $Q_{e}$ $(Q_{g})$ for outcoming atoms detected in their excited states (ground states), for both N -> infinity and t -> infinity, as functions of $N_{ex} = RT_{c}$: R is the mean rate of entry for the incoming atoms and $T_c$ is the cavity damping time. The behavior of these atomic Q-parameters is compared with that parameter for the cavity field.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 19:29:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Puri", "R. R.", "" ], [ "Kumar", "S. Arun", "" ], [ "Bullough", "R. K.", "" ] ]
quant-ph/9910104
Ali Mostafazadeh
Ali Mostafazadeh
Perturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls
Plain Latex, accepted for publication in J. Phys. A: Math. Gen
J.Phys.A32:8325-8340,1999
10.1088/0305-4470/32/47/311
null
quant-ph hep-th
null
We use the Rayleigh-Schr\"odinger perturbation theory to calculate the corrections to the adiabatic geometric phase due to a perturbation of the Hamiltonian. We show that these corrections are at least of second order in the perturbation parameter. As an application of our general results we address the problem of the adiabatic geometric phase for a one-dimensional particle which is confined to an infinite square well with moving walls.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 13:22:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Mostafazadeh", "Ali", "" ] ]
quant-ph/9910105
M. Patra
M. Patra and C. W. J. Beenakker
Propagation of squeezed radiation through amplifying or absorbing random media
8 pages, 4 figures
Phys. Rev. A 61, 63805 (2000)
10.1103/PhysRevA.61.063805
null
quant-ph cond-mat.mes-hall
null
We analyse how nonclassical features of squeezed radiation (in particular the sub-Poissonian noise) are degraded when it is transmitted through an amplifying or absorbing medium with randomly located scattering centra. Both the cases of direct photodetection and of homodyne detection are considered. Explicit results are obtained for the dependence of the Fano factor (the ratio of the noise power and the mean current) on the degree of squeezing of the incident state, on the length and the mean free path of the medium, the temperature, and on the absorption or amplification rate.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 14:44:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Patra", "M.", "" ], [ "Beenakker", "C. W. J.", "" ] ]
quant-ph/9910106
Norbert Luetkenhaus
Miloslav Dusek, Mika Jahma, and Norbert L\"utkenhaus
Unambiguous state discrimination in quantum cryptography with weak coherent states
10 pages, 6 figures, updated version with added discussion of beamsplitting attack
Physical Review A, Vol. 62, 022306 (2000).
10.1103/PhysRevA.62.022306
null
quant-ph
null
The use of linearly independent signal states in realistic implementations of quantum key distribution (QKD) enables an eavesdropper to perform unambiguous state discrimination. We explore quantitatively the limits for secure QKD imposed by this fact taking into account that the receiver can monitor to some extend the photon number statistics of the signals even with todays standard detection schemes. We compare our attack to the beamsplitting attack and show that security against beamsplitting attack does not necessarily imply security against the attack considered here.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 16:53:22 GMT" }, { "version": "v2", "created": "Thu, 27 Apr 2000 06:57:18 GMT" } ]
2009-10-31T00:00:00
[ [ "Dusek", "Miloslav", "" ], [ "Jahma", "Mika", "" ], [ "Lütkenhaus", "Norbert", "" ] ]
quant-ph/9910107
Subhash Kak
Subhash Kak
On Rotating a Qubit
5 pages; has one more section and more references
Information Sciences, vol. 128, pp. 149-154, 2000.
null
null
quant-ph
null
The state function of a quantum object is undetermined with respect to its phase. This indeterminacy does not matter if it is global, but what if the components of the state have unknown relative phases? Can useful computations be performed in spite of this local indeterminacy? We consider this question in relation to the problem of the rotation of a qubit and examine its broader implications for quantum computing.
[ { "version": "v1", "created": "Mon, 25 Oct 1999 21:44:44 GMT" }, { "version": "v2", "created": "Mon, 1 Nov 1999 22:25:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Kak", "Subhash", "" ] ]
quant-ph/9910108
Hitoshi Sakai
K. Sugiyama
Quantum probability from a geometrical interpretation of a wave function
3 pages
null
null
KS-9913
quant-ph
null
The probabilistic prediction of quantum theory is mystery. I solved the mystery by a geometrical interpretation of a wave function. This suggests the unification between quantum theory and the theory of relativity. This suggests Many-Worlds Interpretation is true, too.
[ { "version": "v1", "created": "Tue, 26 Oct 1999 14:49:17 GMT" }, { "version": "v2", "created": "Sun, 31 Oct 1999 22:29:15 GMT" }, { "version": "v3", "created": "Thu, 4 Nov 1999 13:33:22 GMT" }, { "version": "v4", "created": "Sun, 21 Nov 1999 05:24:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Sugiyama", "K.", "" ] ]
quant-ph/9910109
Igor V. Volovich
I.Ya. Aref'eva and I.V. Volovich
The Large Time Behaviour in Quantum Field Theory and Quantum Chaos
15 pages, latex
Canadian Math.Soc.Conf.Proc. 29 (2000) 15-27
null
null
quant-ph cond-mat.stat-mech hep-ph math-ph math.MP
null
An exact general formula for the matrix elements of the evolution operator in quantum theory is established. The formul ("ABC-formula") has the form <U(t)>=exp(At+B+C(t)). The constants A and B and the decreasing function C(t) are computed in perturbation theory. The ABC-formula is valid for a general class of Hamiltonians used in statistical physics and quantum field theory. The formula includes the higher order corrections to the well known Weisskopf-Wigner approximation and to the stochastic (van Hove) limit which are widely used in considerations of problems of radiation, decay, quantum decoherence, derivation of master and kinetic equations etc. The function C(t) admits an interpretation as an analogue of the autocorrelation function describing quantum chaos for the quantum baker's map.
[ { "version": "v1", "created": "Tue, 26 Oct 1999 13:42:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Aref'eva", "I. Ya.", "" ], [ "Volovich", "I. V.", "" ] ]