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quant-ph/9909004
Pinaki Roy
Geza Levai and Pinaki Roy
Conditionally Exactly Solvable Potentials and Supersymmetric Transformations
10 pages,Reference added
null
10.1016/S0375-9601(99)00778-1
null
quant-ph
null
A general procedure is presented to construct conditionally solvable (CES) potentials using the techniques of supersymmetric quantum mechanics.The method is illustrated with potentials related to the harmonic oscillator problem.Besides recovering known results,new CES potentials are also obtained within the framework of this general approach.The conditions under which this method leads to CES potentials are also discussed.
[ { "version": "v1", "created": "Wed, 1 Sep 1999 12:40:58 GMT" }, { "version": "v2", "created": "Wed, 8 Sep 1999 08:38:34 GMT" } ]
2009-10-31T00:00:00
[ [ "Levai", "Geza", "" ], [ "Roy", "Pinaki", "" ] ]
quant-ph/9909005
Anu Venugopalan
Anu Venugopalan
Pointer states via Decoherence in a Quantum Measurement
9 pages, LaTex, communicated to Physical Review A
null
10.1103/PhysRevA.61.012102
null
quant-ph
null
We consider the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus (harmonic oscillator) which in turn is coupled to a bath of harmonic oscillators. Exact solutions of the Markovian Master equation show that the reduced density matrix of the system-apparatus combine decoheres to a statistical mixture where up and down spins eventually correlate with pointer states of the apparatus. For the zero temperature bath these pointer states turn out to be coherent states of the harmonic oscillator for arbitrary initial states of the apparatus. For a high temperature bath pointer states are Gaussian distributions (generalized coherent states). For both cases, the off-diagonal elements in spin-space decohere over a time scale which goes inversely as the square of the "separation" between the "pointers". Our exact results also demonstrate in an unambiguous way that the pointer states in this measurement model emerge independent of the initial state of the apparatus.
[ { "version": "v1", "created": "Wed, 1 Sep 1999 17:15:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Venugopalan", "Anu", "" ] ]
quant-ph/9909006
Mark Hillery
Mark Hillery
Quantum cryptography with squeezed states
15 pages, no figures
null
10.1103/PhysRevA.61.022309
null
quant-ph
null
A quantum key distribution scheme based on the use of displaced squeezed vacuum states is presented. The states are squeezed in one of two field quadrature components, and the value of the squeezed component is used to encode a character from an alphabet. The uncertainty relation between quadrature components prevents an eavesdropper from determining both with enough precision to determine the character being sent. Losses degrade the performance of this scheme, but it is possible to use phase-sensitive amplifiers to boost the signal and partially compensate for their effect.
[ { "version": "v1", "created": "Wed, 1 Sep 1999 21:38:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Hillery", "Mark", "" ] ]
quant-ph/9909007
Simon Benjamin
S. C. Benjamin (Univ. of Oxford)
Schemes for Parallel Quantum Computation Without Local Control of Qubits
12 pages + 3 figures. Several small corrections made
null
10.1103/PhysRevA.61.020301
null
quant-ph
null
Typical quantum computing schemes require transformations (gates) to be targeted at specific elements (qubits). In many physical systems, direct targeting is difficult to achieve; an alternative is to encode local gates into globally applied transformations. Here we demonstrate the minimum physical requirements for such an approach: a one-dimensional array composed of two alternating 'types' of two-state system. Each system need be sensitive only to the net state of its nearest neighbors, i.e. the number in state 1 minus the number in state 2. Additionally, we show that all such arrays can perform quite general parallel operations. A broad range of physical systems and interactions are suitable: we highlight two potential implementations.
[ { "version": "v1", "created": "Thu, 2 Sep 1999 18:35:27 GMT" }, { "version": "v2", "created": "Sat, 18 Sep 1999 16:59:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Benjamin", "S. C.", "", "Univ. of Oxford" ] ]
quant-ph/9909008
Alexander A. Kokin
K. A. Valiev and A. A. Kokin (Institute of Physics and Technology, Russian Academy of Sciences)
Solid-state NMR quantum computer with individual access to qubits and some its ensemble developments
LaTex 21 pages, 4 EPS figures; Figure 2 changed
null
null
null
quant-ph
null
Here we made an analysis of the principles of a semiconductor NMR quantum computer and its developments. The known variant of an individual-access computer (B. Kane) and alternative solid-state bulk-ensemble approach versions allowing to avoid some difficulties in implementing the first variant are considered.
[ { "version": "v1", "created": "Thu, 2 Sep 1999 07:37:02 GMT" }, { "version": "v2", "created": "Mon, 15 Nov 1999 16:31:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Valiev", "K. A.", "", "Institute of Physics and Technology,\n Russian Academy of Sciences" ], [ "Kokin", "A. A.", "", "Institute of Physics and Technology,\n Russian Academy of Sciences" ] ]
quant-ph/9909009
W. A. Hofer
W. A. Hofer
On interference: the scalar problem
Six pages (RevTeX) and four figures (eps). For a full list of available papers see http://info.tuwien.ac.at/cms/wh/
null
null
MW-99-03
quant-ph hep-th
null
Single-slit and two-slit interferometer measurements of electrons are analyzed within the realistic model of particle propagation. In a step by step procedure we show that all current models of interference are essentially non-local and demonstrate that the treatment of the quantum theory of motion is the simplest model for the scalar problem. In particular we give a novel interpretation of the quantum potential Q, which should be regarded as a non-classical and essentially statistical term describing the changes of the quantum ensemble due to a change of the physical environment.
[ { "version": "v1", "created": "Thu, 2 Sep 1999 09:35:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Hofer", "W. A.", "" ] ]
quant-ph/9909010
Benni Reznik
Aharon Casher and Benni Reznik
Back-Reaction of Clocks and Limitations on Observability in Closed Systems
18 pages, 4 figures
Phys.Rev. A62 (2000) 042104
10.1103/PhysRevA.62.042104
null
quant-ph gr-qc
null
Measurements are ordinarily described with respect to absolute "Newtonian" time. In reality however, the switching-on of the measuring device at the instance of the measurement requires a timing device. Hence the classical time $t$ must be replaced by a suitable quantum time variable $\tau$ of a physical clock. The main issue raised in this article is that while doing so, we can no longer neglect the {\em back-reaction} due to the measurement on the clock. This back-reaction yields a bound on the accuracy of the measurement. When this bound is violated the result of a measurement is generally not an eigenvalue of the observable, and furthermore, the state of the system after the measurement is generally not a pure state. We argue that as a consequence, a sub-class of observables in a closed system cannot be realized by a measurement.
[ { "version": "v1", "created": "Thu, 2 Sep 1999 13:07:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Casher", "Aharon", "" ], [ "Reznik", "Benni", "" ] ]
quant-ph/9909011
Leah Henderson
L. Henderson and V. Vedral
Information, Relative Entropy of Entanglement and Irreversibility
10 pages, no figures
Physical Review Letters, vol. 84, 10, pp.2263-6, 2000
10.1103/PhysRevLett.84.10
null
quant-ph
null
Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement. The difference between these measures for an ensemble of mixed states is shown to depend on the availability of classical information about particular members of the ensemble. Based on this, relations between relative entropy of entanglement and mutual information are derived.
[ { "version": "v1", "created": "Thu, 2 Sep 1999 16:20:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Henderson", "L.", "" ], [ "Vedral", "V.", "" ] ]
quant-ph/9909012
Tomoyuki Yamakami
Tomoyuki Yamakami
Analysis of Quantum Functions
The complete version of the conference paper appeared in the Proceedings of the 19th International Conference on the Foundations of Software Technology and Theoretical Computer Science, Lecture Notes in Computer Science, Springer-Verlag, Vol.1738, pp.407-419, 1999
International Journal of Foundations of Computer Science, Vol.14(5), pp.815-852, October 2003.
null
null
quant-ph cs.CC
null
This paper initiates a systematic study of quantum functions, which are (partial) functions defined in terms of quantum mechanical computations. Of all quantum functions, we focus on resource-bounded quantum functions whose inputs are classical bit strings. We prove complexity-theoretical properties and unique characteristics of these quantum functions by recent techniques developed for the analysis of quantum computations. We also discuss relativized quantum functions that make adaptive and nonadaptive oracle queries.
[ { "version": "v1", "created": "Thu, 2 Sep 1999 17:23:26 GMT" }, { "version": "v2", "created": "Fri, 17 Sep 1999 21:09:31 GMT" }, { "version": "v3", "created": "Fri, 1 Nov 2002 18:50:05 GMT" }, { "version": "v4", "created": "Thu, 7 Aug 2003 13:12:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Yamakami", "Tomoyuki", "" ] ]
quant-ph/9909013
Holger F. Hofmann
Holger F. Hofmann
Nonclassical correlations of phase noise and photon number in quantum nondemolition measurements
16 pages, 5 figures, final version to be published in Phys. Rev. A, Clarifications of the nature of the measurement result and the noise added in section II
Phys. Rev. A 61, 033815 (2000)
10.1103/PhysRevA.61.033815
null
quant-ph physics.optics
null
The continuous transition from a low resolution quantum nondemolition measurement of light field intensity to a precise measurement of photon number is described using a generalized measurement postulate. In the intermediate regime, quantization appears as a weak modulation of measurement probability. In this regime, the measurement result is strongly correlated with the amount of phase decoherence introduced by the measurement interaction. In particular, the accidental observation of half integer photon numbers preserves phase coherence in the light field, while the accidental observation of quantized values increases decoherence. The quantum mechanical nature of this correlation is discussed and the implications for the general interpretation of quantization are considered.
[ { "version": "v1", "created": "Fri, 3 Sep 1999 07:37:57 GMT" }, { "version": "v2", "created": "Wed, 1 Dec 1999 08:27:31 GMT" } ]
2009-10-31T00:00:00
[ [ "Hofmann", "Holger F.", "" ] ]
quant-ph/9909014
Andreas Klappenecker
Andreas Klappenecker
Wavelets and Wavelet Packets on Quantum Computers
11 pages, 10 postscript figure, to appear in Proc. of Wavelet Applications in Signal and Image Processing VII
null
10.1117/12.366826
null
quant-ph
null
We show how periodized wavelet packet transforms and periodized wavelet transforms can be implemented on a quantum computer. Surprisingly, we find that the implementation of wavelet packet transforms is less costly than the implementation of wavelet transforms on a quantum computer.
[ { "version": "v1", "created": "Fri, 3 Sep 1999 19:32:42 GMT" } ]
2015-06-26T00:00:00
[ [ "Klappenecker", "Andreas", "" ] ]
quant-ph/9909015
P. Narayana Swamy
P. Narayana Swamy
q-deformed fermion oscillators, zero-point energy and inclusion-exclusion principle
10 pages, Latex, submitted to Physical Review E
null
null
null
quant-ph
null
The theory of Fermion oscillators has two essential ingredients: zero-point energy and Pauli exclusion principle. We devlop the theory of the statistical mechanics of generalized q-deformed Fermion oscillator algebra with inclusion principle (i.e., without the exclusion principle), which corresponds to ordinary fermions with Pauli exclusion principle in the classical limit $q \to 1$. Some of the remarkable properties of this theory play a crucial role in the understanding of the q-deformed Fermions. We show that if we insist on the weak exclusion principle, then the theory has the expected low temperature limit as well as the correct classical q-limit.
[ { "version": "v1", "created": "Fri, 3 Sep 1999 19:07:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Swamy", "P. Narayana", "" ] ]
quant-ph/9909016
Hans Halvorson
Rob Clifton (Depts. of Philosophy and History & Philosophy of Science, University of Pittsburgh), Hans Halvorson (Depts. of Mathematics and Philosophy, University of Pittsburgh), Adrian Kent (DAMTP, University of Cambridge)
Non-local Correlations are Generic in Infinite-Dimensional Bipartite Systems
8 pages, RevTeX
Phys. Rev. A 61, 042101 (2000)
10.1103/PhysRevA.61.042101
null
quant-ph
null
It was recently shown that the nonseparable density operators for a bipartite system are trace norm dense if either factor space has infinite dimension. We show here that non-local states -- i.e., states whose correlations cannot be reproduced by any local hidden variable model -- are also dense. Our constructions distinguish between the cases where both factor spaces are infinite-dimensional, where we show that states violating the CHSH inequality are dense, and the case where only one factor space is infinite-dimensional, where we identify open neighborhoods of nonseparable states that do not violate the CHSH inequality but show that states with a subtler form of non-locality (often called "hidden" non-locality) remain dense.
[ { "version": "v1", "created": "Fri, 3 Sep 1999 22:38:13 GMT" }, { "version": "v2", "created": "Fri, 3 Sep 1999 23:02:14 GMT" } ]
2009-10-31T00:00:00
[ [ "Clifton", "Rob", "", "Depts. of Philosophy and History & Philosophy of Science,\n University of Pittsburgh" ], [ "Halvorson", "Hans", "", "Depts. of Mathematics and\n Philosophy, University of Pittsburgh" ], [ "Kent", "Adrian", "", "DAMTP, University of\n Cambridge" ] ]
quant-ph/9909017
Hagen Kleinert
Boris Kastening and Hagen Kleinert
Efficient Algorithm for Perturbative Calculation of Multiloop Feynman Integrals
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/299
Phys.Lett. A269 (2000) 50-54
10.1016/S0375-9601(00)00199-7
null
quant-ph
null
We present an efficient algorithm for calculating multiloop Feynman integrals perturbatively.
[ { "version": "v1", "created": "Sat, 4 Sep 1999 06:56:45 GMT" }, { "version": "v2", "created": "Thu, 21 Oct 1999 06:54:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Kastening", "Boris", "" ], [ "Kleinert", "Hagen", "" ] ]
quant-ph/9909018
Dimitris G. Angelakis
D. G. Angelakis, E. Paspalakis and P. L. Knight
Transient properties of modified reservoir-induced transparency
4 pages RevTex, including 3 figures. To appear in Phys. Rev. A
Phys. Rev. A 61, 055802 (2000)
10.1103/PhysRevA.61.055802
null
quant-ph
null
We investigate the transient response of a $\Lambda$-type system with one transition decaying to a modified radiation reservoir with an inverse square-root singular density of modes at threshold, under conditions of transparency. We calculate the time evolution of the linear susceptibility for the probe laser field and show that, depending on the strength of the coupling to the modified vacuum and the background decay, the probe transmission can exhibit behaviour ranging from underdamped to overdamped oscillations. Transient gain without population inversion is also possible depending on the system's parameters.
[ { "version": "v1", "created": "Sat, 4 Sep 1999 18:13:11 GMT" }, { "version": "v2", "created": "Fri, 21 Jan 2000 15:51:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Angelakis", "D. G.", "" ], [ "Paspalakis", "E.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9909019
Martti Havukainen
Martti Havukainen
Comparisons of spectra determined using detector atoms and spatial correlation functions
8 pages, 8 figures
null
10.1080/09500340008232165
HIP-1999-50/TH
quant-ph
null
We show how two level atoms can be used to determine the local time dependent spectrum. The method is applied to a one dimensional cavity. The spectrum obtained is compared with the mode spectrum determined using spatially filtered second order correlation functions. The spectra obtained using two level atoms give identical results with the mode spectrum. One benefit of the method is that only one time averages are needed. It is also more closely related to a realistic measurement scheme than any other definition of a time dependent spectrum.
[ { "version": "v1", "created": "Mon, 6 Sep 1999 08:43:29 GMT" } ]
2015-06-26T00:00:00
[ [ "Havukainen", "Martti", "" ] ]
quant-ph/9909020
Michael Nielsen
M. A. Nielsen
Probability distributions consistent with a mixed state
6 pages, submitted to Physical Review A
Physical Review A 61 (6): Art. No. 064301 (2000)
10.1103/PhysRevA.62.052308
null
quant-ph
null
A density matrix $\rho$ may be represented in many different ways as a mixture of pure states, $\rho = \sum_i p_i |\psi_i\ra \la \psi_i|$. This paper characterizes the class of probability distributions $(p_i)$ that may appear in such a decomposition, for a fixed density matrix $\rho$. Several illustrative applications of this result to quantum mechanics and quantum information theory are given.
[ { "version": "v1", "created": "Mon, 6 Sep 1999 08:38:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Nielsen", "M. A.", "" ] ]
quant-ph/9909021
Andrew Scott Parkins
A.S. Parkins and H.J. Kimble
Proposal for teleportation of the wave function of a massive particle
4 pages, 3 figures
null
null
null
quant-ph
null
We propose a scheme for teleporting an atomic center-of-mass wave function between distant locations. The scheme uses interactions in cavity quantum electrodynamics to facilitate a coupling between the motion of an atom trapped inside a cavity and external propagating light fields. This enables the distribution of quantum entanglement and the realization of the required motional Bell-state analysis.
[ { "version": "v1", "created": "Mon, 6 Sep 1999 23:33:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Parkins", "A. S.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/9909022
Piotr Rozmej
R.Arvieu (ISN, Grenoble, France) and P.Rozmej (University MCS, Lublin, Poland)
Squeezed angular momentum coherent states: construction and time evolution
4 pages, RevTeX,(needs epsfig.sty). Presented on 6th International Conference on Squeezed States and Uncertainty Relations, Napoli, 24-29 May 1999
null
null
null
quant-ph
null
A family of angular momentum coherent states on the sphere is constructed using previous work by Aragone et al [1]. These states depend on a complex parameter which allows an arbitrary squeezing of the angular momentum uncertainties. The time evolution of these states is analyzed assuming a rigid body hamiltonian. The rich scenario of fractional revivals is exhibited with cloning and many interference effects.
[ { "version": "v1", "created": "Tue, 7 Sep 1999 15:47:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Arvieu", "R.", "", "ISN, Grenoble, France" ], [ "Rozmej", "P.", "", "University MCS, Lublin,\n Poland" ] ]
quant-ph/9909023
Piotr Rozmej
M.Turek, P.Rozmej (University MCS, Lublin, Poland) and R. Arvieu (ISN, Grenoble, France)
Spin-orbit pendulum - Relativistic extension
4 pages, LaTeX2e (appolb.cls included). Presented at XXVI Mazurian Lakes School of Physics on Nuclear Physics at the Turn of the Century, Krzyze, Poland, September 1-11, 1999. To appear in Acta Phys. Polon. B (2000)
Acta Phys. Polon. B31 (2000) 517
null
null
quant-ph
null
We discuss an extension of the theory of {\em spin-orbit pendulum} phenomenon given in [1] to relativistic approach. It is done within the so called Dirac Oscillator. Our first results, focusing on circular wave packet motion have been published recently [2]. The scope of this paper is motion of a linear wave packet. In relativistic approach we found {\em Zitterbewegung} in spin-orbit motion (in Dirac representation) due to coupling to negative energy states. This effect is washed out in the Foldy-Wouthuysen representation. Another important change with respect to non-relativistic case is the loss of periodicity. The phenomenon reminds the time evolution of population inversion in Jaynes-Cummings model.
[ { "version": "v1", "created": "Tue, 7 Sep 1999 17:40:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Turek", "M.", "", "University MCS, Lublin, Poland" ], [ "Rozmej", "P.", "", "University MCS, Lublin, Poland" ], [ "Arvieu", "R.", "", "ISN,\n Grenoble, France" ] ]
quant-ph/9909024
Serguei Khlebnikov
S. Khlebnikov
Thermal fluctuations in macroscopic quantum memory
9 pages, revtex, 2 figures; a minor correction for v2; small corrections and some added details for v3
null
null
PURD-TH-99-07
quant-ph cond-mat.supr-con
null
We describe macroscopic quantum memory devices based on type-II toroidal superconductors and estimate in one case and compute in another the rates at which quantum information stored in these devices ``degrades'' because of thermal fluctuations. In the case when the entire solid torus is superconducting, the Boltzmann factor in the rate corresponds to a well-defined critical fluctuation, and the rate is suppressed exponentially with the linear size of the system. In the case when superconductivity is confined to the surface of the torus, the rate is determined by diffusive motion of vortices around the torus and does not depend exponentially on the linear size; we find, however, that when the two dimensions of the torus are comparable the rate does not contain the usual volume enhancement factor, i.e. it does not grow with the total surface area of the sample. We describe a possible way to write to and read from this quantum memory.
[ { "version": "v1", "created": "Tue, 7 Sep 1999 22:51:17 GMT" }, { "version": "v2", "created": "Mon, 27 Sep 1999 20:49:55 GMT" }, { "version": "v3", "created": "Thu, 4 Nov 1999 21:33:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Khlebnikov", "S.", "" ] ]
quant-ph/9909025
Toshihiko Ono
Toshihiko Ono
Structure behind Mechanics I: Foundation
20 pages; trimmed
null
null
null
quant-ph
null
This paper proposes a basic theory on physical reality and a new foundation for quantum mechanics and classical mechanics. It presents a scenario not only to solve the problem of the arbitrariness on the operator ordering for the quantization procedure, but also to clarify how the classical-limit occurs. This paper is the first of the three papers into which the previous paper quant-ph/9906130 has been separated for readability.
[ { "version": "v1", "created": "Wed, 8 Sep 1999 17:49:29 GMT" }, { "version": "v2", "created": "Thu, 9 Sep 1999 03:08:28 GMT" }, { "version": "v3", "created": "Wed, 15 Sep 1999 04:07:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Ono", "Toshihiko", "" ] ]
quant-ph/9909026
Valerie Nowak
Stephen L. Adler and Lawrence P. Horwitz
Structure and Properties of Hughston's Stochastic Extension of the Schr\"odinger Equation
Plain Tex, no figures
null
10.1063/1.533255
IASSNS-HEP-99-83
quant-ph
null
Hughston has recently proposed a stochastic extension of the Schr\"odinger equation, expressed as a stochastic differential equation on projective Hilbert space. We derive new projective Hilbert space identities, which we use to give a general proof that Hughston's equation leads to state vector collapse to energy eigenstates, with collapse probabilities given by the quantum mechanical probabilities computed from the initial state. We discuss the relation of Hughston's equation to earlier work on norm-preserving stochastic equations, and show that Hughston's equation can be written as a manifestly unitary stochastic evolution equation for the pure state density matrix. We discuss the behavior of systems constructed as direct products of independent subsystems, and briefly address the question of whether an energy-based approach, such as Hughston's, suffices to give an objective interpretation of the measurement process in quantum mechanics.
[ { "version": "v1", "created": "Wed, 8 Sep 1999 21:12:59 GMT" } ]
2015-06-26T00:00:00
[ [ "Adler", "Stephen L.", "" ], [ "Horwitz", "Lawrence P.", "" ] ]
quant-ph/9909027
Gennady Berman
G.P.Berman, G.D. Doolen, G.V. Lopez, and V.I. Tsifrinovich
Non-Resonant Effects in Implementation of Quantum Shor Algorithm
11 pages, 13 figures
null
10.1103/PhysRevA.61.042307
null
quant-ph
null
We simulate Shor's algorithm on an Ising spin quantum computer. The influence of non-resonant effects is analyzed in detail. It is shown that our ``$2\pi k$''-method successfully suppresses non-resonant effects even for relatively large values of the Rabi frequency.
[ { "version": "v1", "created": "Wed, 8 Sep 1999 21:24:18 GMT" }, { "version": "v2", "created": "Thu, 9 Sep 1999 00:14:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Berman", "G. P.", "" ], [ "Doolen", "G. D.", "" ], [ "Lopez", "G. V.", "" ], [ "Tsifrinovich", "V. I.", "" ] ]
quant-ph/9909028
Viatcheslav V. Dobrovitski
M. I. Katsnelson, V. V. Dobrovitski, and B. N. Harmon
Propagation of local decohering action in distributed quantum systems
6 REVTeX pages, no figures. Introduction and discussion sections are extended
Phys. Rev. A 62, 022118 (July 2000)
10.1103/PhysRevA.62.022118
null
quant-ph
null
We study propagation of the decohering influence caused by a local measurement performed on a distributed quantum system. As an example, the gas of bosons forming a Bose-Einstein condensate is considered. We demonstrate that the local decohering perturbation exerted on the measured region propagates over the system in the form of a decoherence wave, whose dynamics is governed by elementary excitations of the system. We argue that the post-measurement evolution of the system (determined by elementary excitations) is of importance for transfer of decoherence, while the initial collapse of the wave function has negligible impact on the regions which are not directly affected by the measurement.
[ { "version": "v1", "created": "Thu, 9 Sep 1999 06:04:58 GMT" }, { "version": "v2", "created": "Thu, 16 Sep 1999 17:08:24 GMT" }, { "version": "v3", "created": "Sun, 24 Sep 2000 08:06:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Katsnelson", "M. I.", "" ], [ "Dobrovitski", "V. V.", "" ], [ "Harmon", "B. N.", "" ] ]
quant-ph/9909029
Massimiliano F. Sacchi
G. M. D'Ariano, M. F. Sacchi, R. Seno
Feedback-assisted measurement of the free mass position under the Standard Quantum Limit
18 pages, LaTeX with cimento.cls documentclass (included)
Nuovo Cimento B, {\bf 114}, 775 (1999)
null
null
quant-ph
null
The Standard Quantum Limit (SQL) for the measurement of a free mass position is illustrated, along with two necessary conditions for breaching it. A measurement scheme that overcomes the SQL is engineered. It can be achieved in three-steps: i) a pre-squeezing stage; ii) a standard von Neumann measurement with momentum-position object-probe interaction and iii) a feedback. Advantages and limitations of this scheme are discussed. It is shown that all of the three steps are needed in order to overcome the SQL. In particular, the von Neumann interaction is crucial in getting the right state reduction, whereas other experimentally achievable Hamiltonians, as, for example, the radiation-pressure interaction, lead to state reductions that on the average cannot overcome the SQL.
[ { "version": "v1", "created": "Thu, 9 Sep 1999 10:14:27 GMT" } ]
2007-05-23T00:00:00
[ [ "D'Ariano", "G. M.", "" ], [ "Sacchi", "M. F.", "" ], [ "Seno", "R.", "" ] ]
quant-ph/9909030
Margaret Reid
M. D. Reid
Quantum cryptography with a predetermined key, using continuous variable Einstein-Podolsky-Rosen correlations
11 pages,3 figures, changes are important,presented at QELS(May,2000) San Francisco
Phys. Rev. A62,062308(2000)
10.1103/PhysRevA.62.062308
null
quant-ph
null
Correlations of the type discussed by EPR in their original 1935 paradox for continuous variables exist for the quadrature phase amplitudes of two spatially separated fields. These correlations were experimentally reported in 1992. We propose to use such EPR beams in quantum cryptography, to transmit with high efficiency messages in such a way that the receiver and sender may later determine whether eavesdropping has occurred. The merit of the new proposal is in the possibility of transmitting a reasonably secure yet predetermined key. This would allow relay of a cryptographic key over long distances in the presence of lossy channels.
[ { "version": "v1", "created": "Thu, 9 Sep 1999 12:17:55 GMT" }, { "version": "v2", "created": "Fri, 12 Jan 2001 08:27:22 GMT" } ]
2009-10-31T00:00:00
[ [ "Reid", "M. D.", "" ] ]
quant-ph/9909031
Mio Murao
Mio Murao, Martin B. Plenio and Vlatko Vedral
Quantum information distribution via entanglement
15 pages, 3 figures
Phys. Rev. A 60, 032311 (2000)
10.1103/PhysRevA.61.032311
null
quant-ph
null
We present a generalization of quantum teleportation that distributes quantum information from a sender's $d$-level particle to $N_o$ particles held by remote receivers via an initially shared multiparticle entangled state. This entangled state functions as a multiparty quantum information distribution channel between the sender and the receivers. The structure of the distribution channel determines how quantum information is processed. Our generalized teleportation scheme allows multiple receivers at arbitrary locations, and can be used for applications such as optimal quantum information broadcasting, asymmetric telecloning, and quantum error correction.
[ { "version": "v1", "created": "Thu, 9 Sep 1999 15:09:09 GMT" } ]
2009-10-31T00:00:00
[ [ "Murao", "Mio", "" ], [ "Plenio", "Martin B.", "" ], [ "Vedral", "Vlatko", "" ] ]
quant-ph/9909032
Dmitry Kamenev
G.P. Berman, G.D. Doolen, G.V.Lopez, and V.I. Tsifrinovich
Simulations of Quantum Logic Operations in Quantum Computer with Large Number of Qubits
13 pages, 15 figures
null
10.1103/PhysRevA.61.062305
null
quant-ph
null
We report the first simulations of the dynamics of quantum logic operations with a large number of qubits (up to 1000). A nuclear spin chain in which selective excitations of spins is provided by the gradient of the external magnetic field is considered. The spins interact with their nearest neighbors. We simulate the quantum control-not (CN) gate implementation for remote qubits which provides the long-distance entanglement. Our approach can be applied to any implementation of quantum logic gates involving a large number of qubits.
[ { "version": "v1", "created": "Thu, 9 Sep 1999 18:06:20 GMT" } ]
2009-10-31T00:00:00
[ [ "Berman", "G. P.", "" ], [ "Doolen", "G. D.", "" ], [ "Lopez", "G. V.", "" ], [ "Tsifrinovich", "V. I.", "" ] ]
quant-ph/9909033
Dmitry Kamenev
G.P. Berman, G.D. Doolen, P.C. Hammel, and V.I. Tsifrinovich
Solid-State Nuclear Spin Quantum Computer Based on Magnetic Resonance Force Microscopy
16 pages, 5 figures
null
10.1103/PhysRevB.61.14694
null
quant-ph
null
We propose a nuclear spin quantum computer based on magnetic resonance force microscopy (MRFM). It is shown that an MRFM single-electron spin measurement provides three essential requirements for quantum computation in solids: (a) preparation of the ground state, (b) one- and two- qubit quantum logic gates, and (c) a measurement of the final state. The proposed quantum computer can operate at temperatures up to 1K.
[ { "version": "v1", "created": "Thu, 9 Sep 1999 20:42:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Berman", "G. P.", "" ], [ "Doolen", "G. D.", "" ], [ "Hammel", "P. C.", "" ], [ "Tsifrinovich", "V. I.", "" ] ]
quant-ph/9909034
Zhaog
Gang Zhao
Explanation of Quantum Mechanics
LaTex,2 pages
null
null
null
quant-ph
null
By assuming that the kinetic energy,potential energy,momentum,and some other physical quantities of a particle exist in the field out of the particle,the Schrodinger equation is an equation describing field of a particle,but not the particle itself.
[ { "version": "v1", "created": "Fri, 10 Sep 1999 00:52:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhao", "Gang", "" ] ]
quant-ph/9909035
David Kielpinski
D. Kielpinski, B.E. King, C.J. Myatt, C.A. Sackett, Q.A. Turchette, W.M. Itano, C. Monroe, D.J. Wineland, W.H. Zurek
Quantum Logic Using Sympathetically Cooled Ions
Submitted to Phys. Rev. A
null
null
null
quant-ph
null
One limit to the fidelity of quantum logic operations on trapped ions arises from heating of the ions' collective modes of motion. Sympathetic cooling of the ions during the logic operations may eliminate this source of errors. We discuss benefits and drawbacks of this proposal, and describe possible experimental implementations. We also present an overview of trapped-ion dynamics in this scheme.
[ { "version": "v1", "created": "Fri, 10 Sep 1999 01:06:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Kielpinski", "D.", "" ], [ "King", "B. E.", "" ], [ "Myatt", "C. J.", "" ], [ "Sackett", "C. A.", "" ], [ "Turchette", "Q. A.", "" ], [ "Itano", "W. M.", "" ], [ "Monroe", "C.", "" ], [ "Wineland", "D. J.", "" ], [ "Zurek", "W. H.", "" ] ]
quant-ph/9909036
M. H. Y. Moussa
N. G. de Almeida, C. J. Villas-Boas, E. Solano, and M. H. Y. Moussa
Reliable Teleportation of Ionic Motional States Through a Mapping Process
null
null
null
null
quant-ph
null
We show how to teleport reliably an arbitrary superposition of n=0 and n=1 vibrational number state between two distant ions. This is done by first mapping the vibrational state to be teleported into the internal degrees of freedom of a given ion. Then we handle with the internal superposition state following Bennett's original protocol and a recently proposed technique for teleportation of ionic internal states [quant-ph/9903029]. Finally, the teleportation of the vibrational state is achieved by reversing the mapping process in the receiver ion. We remark that as in the teleportation of cavity field and atomic states, the teleportation of vibrational states is 100% successful for an ideal process.
[ { "version": "v1", "created": "Fri, 10 Sep 1999 16:50:59 GMT" } ]
2016-09-08T00:00:00
[ [ "de Almeida", "N. G.", "" ], [ "Villas-Boas", "C. J.", "" ], [ "Solano", "E.", "" ], [ "Moussa", "M. H. Y.", "" ] ]
quant-ph/9909037
Nicolas Cerf
N. J. Cerf (1,2), A. Ipe (1), X. Rottenberg (1) ((1) Universite Libre de Bruxelles, (2) Jet Propulsion Laboratory, Caltech)
Universal cloning of continuous quantum variables
4 pages, RevTex. Minor revisions, added explicit cloning transformation, added references
Phys. Rev. Lett. 85 (2000) 1754
10.1103/PhysRevLett.85.1754
null
quant-ph
null
The cloning of quantum variables with continuous spectra is analyzed. A universal - or Gaussian - quantum cloning machine is exhibited that copies equally well the states of two conjugate variables such as position and momentum. It also duplicates all coherent states with a fidelity of 2/3. More generally, the copies are shown to obey a no-cloning Heisenberg-like uncertainty relation.
[ { "version": "v1", "created": "Sat, 11 Sep 1999 00:00:34 GMT" }, { "version": "v2", "created": "Wed, 13 Oct 1999 19:06:13 GMT" } ]
2009-10-31T00:00:00
[ [ "Cerf", "N. J.", "" ], [ "Ipe", "A.", "" ], [ "Rottenberg", "X.", "" ] ]
quant-ph/9909038
Ferdinand Schmidt-Kaler
Ch. Roos, Th. Zeiger, H. Rohde, H. C. Naegerl, J. Eschner, D. Leibfried, F. Schmidt-Kaler, and R. Blatt (Institut fuer Experimentalphysik, Universitaet Innsbruck, Austria)
Quantum state engineering on an optical transition and decoherence in a Paul trap
4 pages, 5 figures
null
10.1103/PhysRevLett.83.4713
null
quant-ph
null
A single Ca+ ion in a Paul trap has been cooled to the ground state of vibration with up to 99.9% probability. Starting from this Fock state |n=0> we have demonstrated coherent quantum state manipulation on an optical transition. Up to 30 Rabi oscillations within 1.4 ms have been observed. We find a similar number of Rabi oscillations after preparation of the ion in the |n=1> Fock state. The coherence of optical state manipulation is only limited by laser and ambient magnetic field fluctuations. Motional heating has been measured to be as low as one vibrational quantum in 190 ms.
[ { "version": "v1", "created": "Mon, 13 Sep 1999 10:04:19 GMT" } ]
2009-10-31T00:00:00
[ [ "Roos", "Ch.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Zeiger", "Th.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Rohde", "H.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Naegerl", "H. C.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Eschner", "J.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Leibfried", "D.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Schmidt-Kaler", "F.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ], [ "Blatt", "R.", "", "Institut fuer Experimentalphysik,\n Universitaet Innsbruck, Austria" ] ]
quant-ph/9909039
Robert R. Tucci
Robert R. Tucci
Quantum Information Theory - A Quantum Bayesian Net Perspective
73 pages (files: 1 .tex, 3 .sty, 22 .eps)
null
null
null
quant-ph
null
The main goal of this paper is to give a pedagogical introduction to Quantum Information Theory-to do this in a new way, using network diagrams called Quantum Bayesian Nets. A lesser goal of the paper is to propose a few new ideas, such as associating with each quantum Bayesian net a very useful density matrix that we call the meta density matrix.
[ { "version": "v1", "created": "Mon, 13 Sep 1999 13:59:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Tucci", "Robert R.", "" ] ]
quant-ph/9909040
Stephen A. Fulling
G. Chen, S. A. Fulling, M. O. Scully
Grover's Algorithm for Multiobject Search in Quantum Computing
11 pages, LaTeX; for proceedings of Jackson Hole Quantum Optics Workshop in honor of Daniel Walls Corrections and minor revisions
null
null
null
quant-ph
null
L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedup in the search for a single object in a large unsorted database. In this paper, we expound Grover's algorithm in a Hilbert-space framework that isolates its geometrical essence, and we generalize it to the case where more than one object satisfies the search criterion.
[ { "version": "v1", "created": "Mon, 13 Sep 1999 18:23:15 GMT" }, { "version": "v2", "created": "Thu, 11 Nov 1999 19:47:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "G.", "" ], [ "Fulling", "S. A.", "" ], [ "Scully", "M. O.", "" ] ]
quant-ph/9909041
Robert R. Tucci
Robert R. Tucci
Quantum Entanglement and Conditional Information Transmission
32 pages (files: 1 .tex, 3 .sty, 8 .eps)
null
null
null
quant-ph
null
We propose a new measure of quantum entanglement. Our measure is defined in terms of conditional information transmission for a Quantum Bayesian Net. We show that our measure is identically equal to the Entanglement of Formation in the case of a bipartite (two listener) system occupying a pure state. In the case of mixed states, the relationship between these two measures is not known yet. We discuss some properties of our measure. Our measure can be easily and naturally generalized to handle n-partite (n-listener) systems. It is non-negative for any n. It vanishes for conditionally separable states with n listeners. It is symmetric under permutations of the n listeners. It decreases if listeners are merged, pruned or removed. Most promising of all, it is intimately connected with the Data Processing Inequalities. We also find a new upper bound for classical mutual information which is of interest in its own right.
[ { "version": "v1", "created": "Mon, 13 Sep 1999 22:00:25 GMT" }, { "version": "v2", "created": "Sun, 26 Sep 1999 04:14:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Tucci", "Robert R.", "" ] ]
quant-ph/9909042
Mark Hillery
Bernard Yurke, Mark Hillery, and David Stoler
Position-momentum local realism violation of the Hardy type
10 pages, no figures, to be published in Physical Review A
null
10.1103/PhysRevA.60.3444
null
quant-ph
null
We show that it is, in principle, possible to perform local realism violating experiments of the Hardy type in which only position and momentum measurements are made on two particles emanating from a common source. In the optical domain, homodyne detection of the in-phase and out-of-phase amplitude components of an electromagnetic field is analogous to position and momentum measurement. Hence, local realism violations of the Hardy type are possible in optical systems employing only homodyne detection.
[ { "version": "v1", "created": "Tue, 14 Sep 1999 01:22:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Yurke", "Bernard", "" ], [ "Hillery", "Mark", "" ], [ "Stoler", "David", "" ] ]
quant-ph/9909043
Paolo Facchi
P. Facchi and S. Pascazio
Spontaneous emission and lifetime modification caused by an intense electromagnetic field
25 pages, 6 figures
Phys. Rev. A 62, 023804 (2000).
10.1103/PhysRevA.62.023804
BA-TH/99-359
quant-ph
null
We study the temporal evolution of a three-level system (such as an atom or a molecule), initially prepared in an excited state, bathed in a laser field tuned at the transition frequency of the other level. The features of the spontaneous emission are investigated and the lifetime of the initial state is evaluated: a Fermi "golden rule" still applies, but the on-shell matrix elements depend on the intensity of the laser field. In general, the lifetime is a decreasing function of the laser intensity. The phenomenon we discuss can be viewed as an "inverse" quantum Zeno effect and can be analyzed in terms of dressed states.
[ { "version": "v1", "created": "Tue, 14 Sep 1999 15:29:10 GMT" }, { "version": "v2", "created": "Thu, 25 Nov 1999 19:40:08 GMT" }, { "version": "v3", "created": "Tue, 28 Mar 2000 17:19:31 GMT" } ]
2009-10-31T00:00:00
[ [ "Facchi", "P.", "" ], [ "Pascazio", "S.", "" ] ]
quant-ph/9909044
R. Simon
R. Simon
Peres-Horodecki separability criterion for continuous variable systems
6 pages, no figures
null
10.1103/PhysRevLett.84.2726
null
quant-ph
null
The Peres-Horodecki criterion of positivity under partial transpose is studied in the context of separability of bipartite continuous variable states. The partial transpose operation admits, in the continuous case, a geometric interpretation as mirror reflection in phase space. This recognition leads to uncertainty principles, stronger than the traditional ones, to be obeyed by all separable states. For all bipartite Gaussian states, the Peres-Horodecki criterion turns out to be necessary and sufficient condition for separability.
[ { "version": "v1", "created": "Tue, 14 Sep 1999 16:50:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Simon", "R.", "" ] ]
quant-ph/9909045
Marcos C. de Oliveira
M. C. de Oliveira, S. S. Mizrahi and V. V. Dodonov
Information Transfer in the Course of a Quantum Interaction
10 pages, 4 Postscript figures, to appear in J. Opt. B
J. Opt. B: Quantum Semiclassical Opt. 1, 610 (1999).
10.1088/1464-4266/1/5/319
null
quant-ph
null
We discuss the problem of the information transfer (exchange of states configuration) between two interacting quantum systems along their evolution in time. We consider the specific case of two modes of the electromagnetic field with rotating wave coupling interaction (up-conversion in a nonlinear crystal). We verify that for certain initial states of the fields the swapping of state configuration occurs with conservation of the mean energy of each mode (without energy transfer), characterising thus pure information flow.
[ { "version": "v1", "created": "Wed, 15 Sep 1999 00:50:42 GMT" } ]
2009-10-31T00:00:00
[ [ "de Oliveira", "M. C.", "" ], [ "Mizrahi", "S. S.", "" ], [ "Dodonov", "V. V.", "" ] ]
quant-ph/9909046
Dr Dagmar Bruss
D. Bruss, M. Cinchetti, G. M. D'Ariano and C. Macchiavello
Phase covariant quantum cloning
9 pages, 1 figure
Phys. Rev. A 62, 12302 (2000)
10.1103/PhysRevA.62.012302
null
quant-ph
null
We consider an N -> M quantum cloning transformation acting on pure two-level states lying on the equator of the Bloch sphere. An upper bound for its fidelity is presented, by establishing a connection between optimal phase covariant cloning and phase estimation. We give the explicit form of a cloning transformation that achieves the bound for the case N=1, M=2, and find a link between this case and optimal eavesdropping in the quantum cryptographic scheme BB84.
[ { "version": "v1", "created": "Wed, 15 Sep 1999 09:19:57 GMT" } ]
2009-10-31T00:00:00
[ [ "Bruss", "D.", "" ], [ "Cinchetti", "M.", "" ], [ "D'Ariano", "G. M.", "" ], [ "Macchiavello", "C.", "" ] ]
quant-ph/9909047
WD Heiss
W.D. Heiss
Repulsion of Resonance States and Exceptional Points
4 pages, latex, 3 figures, to appear in Phys.Rev.E
null
10.1103/PhysRevE.61.929
null
quant-ph
null
Level repulsion is associated with exceptional points which are square root singularities of the energies as functions of a (complex) interaction parameter. This is also valid for resonance state energies. Using this concept it is argued that level anti-crossing (crossing) must imply crossing (anti-crossing) of the corresponding widths of the resonance states. Further, itis shown that an encircling of an exceptional point induces a phase change of one wave function but not of the other. An experimental setup is discussed where this phase behaviour which differs from the one encountered at a diabolic point can be observed.
[ { "version": "v1", "created": "Wed, 15 Sep 1999 14:24:36 GMT" } ]
2009-10-31T00:00:00
[ [ "Heiss", "W. D.", "" ] ]
quant-ph/9909048
Chi-Yee Cheung
Chi-Yee Cheung
On the Possibility of Unconditionally Secure Quantum Bit Commitment
Withdrawn
null
null
null
quant-ph
null
This paper has been withdrawn by the author.
[ { "version": "v1", "created": "Wed, 15 Sep 1999 15:50:00 GMT" }, { "version": "v2", "created": "Wed, 6 Oct 1999 16:47:16 GMT" }, { "version": "v3", "created": "Mon, 25 Oct 1999 21:40:18 GMT" }, { "version": "v4", "created": "Mon, 10 Jul 2000 17:16:10 GMT" }, { "version": "v5", "created": "Thu, 20 Dec 2001 18:21:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Cheung", "Chi-Yee", "" ] ]
quant-ph/9909049
Robert B. Griffiths
Robert B. Griffiths
Consistent histories, quantum truth functionals, and hidden variables
Latex 10 pages, no figures
Phys. Lett. A 265 (2000) pp. 12-19
10.1016/S0375-9601(99)00888-9
null
quant-ph
null
A central principle of consistent histories quantum theory, the requirement that quantum descriptions be based upon a single framework (or family), is employed to show that there is no conflict between consistent histories and a no-hidden-variables theorem of Bell, and Kochen and Specker, contrary to a recent claim by Bassi and Ghirardi. The argument makes use of ``truth functionals'' defined on a Boolean algebra of classical or quantum properties.
[ { "version": "v1", "created": "Wed, 15 Sep 1999 19:48:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Griffiths", "Robert B.", "" ] ]
quant-ph/9909050
De-Horng Lin
De-Hone Lin
Path Integral Solution by Sum Over Perturbation Series
13 pages, ReVTeX, no figures
null
10.1063/1.533266
null
quant-ph
null
A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method. Different from the earlier treatment based on the space-time transformation and infinite multiple-valued trasformation of Kustaanheimo-Stiefel in order to perform path integral, the method developed in this contribution involves only the explicit form of a simple Green's function and an explicit path integral is avoided.
[ { "version": "v1", "created": "Thu, 16 Sep 1999 01:44:46 GMT" } ]
2015-06-26T00:00:00
[ [ "Lin", "De-Hone", "" ] ]
quant-ph/9909051
Andrea Rocco
A. Rocco, P. Grigolini
The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model
15 pages
Phys. Lett. A 252 (1999) 115-124
10.1016/S0375-9601(98)00940-2
null
quant-ph cond-mat
null
We revisit the Markov approximation necessary to derive ordinary Brownian motion from a model widely adopted in literature for this specific purpose. We show that this leads to internal inconsistencies, thereby implying that further search for a more satisfactory model is required.
[ { "version": "v1", "created": "Thu, 16 Sep 1999 14:42:09 GMT" } ]
2009-10-31T00:00:00
[ [ "Rocco", "A.", "" ], [ "Grigolini", "P.", "" ] ]
quant-ph/9909052
Massimiliano F. Sacchi
K. Banaszek, G. M. D'Ariano, M. G. A. Paris, M. F. Sacchi
Maximum-likelihood estimation of the density matrix
4 pages, 3 figures (5 eps files). Submitted to Phys. Rev. A as a Rapid Communication
Phys. Rev. A 61, 010304(R) (2000).
10.1103/PhysRevA.61.010304
null
quant-ph
null
We present a universal technique for quantum state estimation based on the maximum-likelihood method. This approach provides a positive definite estimate for the density matrix from a sequence of measurements performed on identically prepared copies of the system. The method is versatile and can be applied to multimode radiation fields as well as to spin systems. The incorporation of physical constraints, which is natural in the maximum-likelihood strategy, leads to a substantial reduction of statistical errors. Numerical implementation of the method is based on a particular form of the Gauss decomposition for positive definite Hermitian matrices.
[ { "version": "v1", "created": "Thu, 16 Sep 1999 17:22:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Banaszek", "K.", "" ], [ "D'Ariano", "G. M.", "" ], [ "Paris", "M. G. A.", "" ], [ "Sacchi", "M. F.", "" ] ]
quant-ph/9909053
Nikolaj A. Ketsaris
A. A. Ketsaris
Generalized equation of relativistic quantum mechanics
26 pages, no figures, uses revtex, submitted to Phys.Rev.D
null
null
null
quant-ph
null
We develop a new concept of quantum mechanics which is based on a generalized space-time and on an action vector space similar to it. Both spaces are provided by algebraic properties. This allows to calculate the Dirac matrixes and to derive quantum mechanics equations from structure equations of the specified algebras. A new interpretation of the wave function is given as differential of the action vector. A generalization of the Dirac equation for 8-component wave function is derived. It is interpreted as the equation for two leptons of the same generation. A procedure of the approximate description of free leptons is formulated. The generalized equation of quantum mechanics is reduced to the Dirac, Pauli and Schr\"odinger equations by the sequential use of this procedure. We explain the existence of three lepton generations.
[ { "version": "v1", "created": "Thu, 16 Sep 1999 18:49:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Ketsaris", "A. A.", "" ] ]
quant-ph/9909054
Yinqi Feng
Hongchen Fu, Yinqi Feng and A. I. Solomon
States interpolating between number and coherent states
15 pages + 16 figures, Latex, submit to J. Phys. A: Math. Gen
null
null
null
quant-ph
null
The paper has been withdraw by authors
[ { "version": "v1", "created": "Fri, 17 Sep 1999 12:17:09 GMT" }, { "version": "v2", "created": "Tue, 7 Mar 2000 18:52:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Fu", "Hongchen", "" ], [ "Feng", "Yinqi", "" ], [ "Solomon", "A. I.", "" ] ]
quant-ph/9909055
Yinqi Feng
Hongchen Fu, Yinqi Feng and A. I. Solomon
States interpolating between number and coherent states and their interaction with atomic systems
26 pages, 29 EPS figures, Latex, Accepted for publication in J.Phys.A
null
10.1088/0305-4470/33/11/306
null
quant-ph
null
Using the eigenvalue definition of binomial states we construct new intermediate number-coherent states which reduce to number and coherent states in two different limits. We reveal the connection of these intermediate states with photon-added coherent states and investigate their non-classical properties and quasi-probability distributions in detail. It is of interest to note that these new states, which interpolate between coherent states and number states, neither of which exhibit squeezing, are nevertheless squeezed states. A scheme to produce these states is proposed. We also study the interaction of these states with atomic systems in the framework of the two-photon Jaynes-Cummings model, and describe the response of the atomic system as it varies between the pure Rabi oscillation and the collapse-revival mode and investigate field observables such as photon number distribution, entropy and the Q-function.
[ { "version": "v1", "created": "Fri, 17 Sep 1999 12:28:26 GMT" }, { "version": "v2", "created": "Thu, 2 Mar 2000 17:06:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Fu", "Hongchen", "" ], [ "Feng", "Yinqi", "" ], [ "Solomon", "A. I.", "" ] ]
quant-ph/9909056
A. P. Balachandran
A.P.Balachandran and S.M.Roy
A Quantum Anti-Zeno Paradox
10 pages,latex
Phys.Rev.Lett.84:4019-4022,2000
10.1103/PhysRevLett.84.4019
SU-4240-703,TIFR/TH/99-24
quant-ph gr-qc hep-th
null
We establish an exact differential equation for the operator describing time-dependent measurements continuous in time and obtain a series solution. Suppose the projection operator $E(t) = U(t) E U^\dagger(t)$ is measured continuously from t = 0 to T, where E is a projector leaving the initial state unchanged and U(t) a unitary operator obeying U(0) = 1 and some smoothness conditions in t. We prove that the probability of always finding E(t) = 1 from t = 0 to T is unity. If $U(t) \neq 1$, the watched kettle is sure to `boil'.
[ { "version": "v1", "created": "Fri, 17 Sep 1999 19:18:08 GMT" } ]
2009-01-23T00:00:00
[ [ "Balachandran", "A. P.", "" ], [ "Roy", "S. M.", "" ] ]
quant-ph/9909057
Antonio Vidiella-Barranco
A. Vidiella-Barranco (Universidade Estadual de Campinas, Brazil)
Entanglement and nonextensive statistics
8 pages, LaTex, 4 figures
Phys. Lett A, 260, 335 (1999)
10.1016/S0375-9601(99)00551-4
null
quant-ph
null
It is presented a generalization of the von Neumann mutual information in the context of Tsallis' nonextensive statistics. As an example, entanglement between two (two-level) quantum subsystems is discussed. Important changes occur in the generalized mutual information, which measures the degree of entanglement, depending on the entropic index q.
[ { "version": "v1", "created": "Fri, 17 Sep 1999 19:19:17 GMT" } ]
2009-10-31T00:00:00
[ [ "Vidiella-Barranco", "A.", "", "Universidade Estadual de Campinas, Brazil" ] ]
quant-ph/9909058
Dr. Daniel A. Lidar
Dave Bacon, Julia Kempe, Daniel A. Lidar, and K.B. Whaley (UC Berkeley)
Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
5 pages, no figures. Many small changes and clarifications. Expanded discussion of relevance to solid-state implementations. This version to appear in Phys. Rev. Lett
Phys. Rev. Lett. Vol 85 (8), p. 1758-61 (2000)
10.1103/PhysRevLett.85.1758
null
quant-ph
null
A general scheme to perform universal quantum computation within decoherence-free subspaces (DFSs) of a system's Hilbert space is presented. This scheme leads to the first fault-tolerant realization of universal quantum computation on DFSs with the properties that (i) only one- and two-qubit interactions are required, and (ii) the system remains within the DFS throughout the entire implementation of a quantum gate. We show explicitly how to perform universal computation on clusters of the four-qubit DFS encoding one logical qubit each under "collective decoherence" (qubit-permutation-invariant system-bath coupling). Our results have immediate relevance to a number of solid-state quantum computer implementations, in particular those in which quantum logic is implemented through exchange interactions, such as the recently proposed spin-spin coupled GaAs quantum dot arrays and the Si:$^{31}$P nuclear spin arrays.
[ { "version": "v1", "created": "Sat, 18 Sep 1999 00:26:31 GMT" }, { "version": "v2", "created": "Thu, 29 Jun 2000 19:00:48 GMT" } ]
2016-09-08T00:00:00
[ [ "Bacon", "Dave", "", "UC\n Berkeley" ], [ "Kempe", "Julia", "", "UC\n Berkeley" ], [ "Lidar", "Daniel A.", "", "UC\n Berkeley" ], [ "Whaley", "K. B.", "", "UC\n Berkeley" ] ]
quant-ph/9909059
Howard M. Wiseman
Jin Wang, H.M. Wiseman, and Z.Ficek
Quantum interference in the fluorescence of a molecular system
11 pages, including 8 figures
null
10.1103/PhysRevA.62.013818
null
quant-ph
null
It has been observed experimentally [H.R. Xia, C.Y. Ye, and S.Y. Zhu, Phys. Rev. Lett. {\bf 77}, 1032 (1996)] that quantum interference between two molecular transitions can lead to a suppression or enhancement of spontaneous emission. This is manifested in the fluorescent intensity as a function of the detuning of the driving field from the two-photon resonance condition. Here we present a theory which explains the observed variation of the number of peaks with the mutual polarization of the molecular transition dipole moments. Using master equation techniques we calculate analytically as well as numerically the steady-state fluorescence, and find that the number of peaks depends on the excitation process. If the molecule is driven to the upper levels by a two-photon process, the fluorescent intensity consists of two peaks regardless of the mutual polarization of the transition dipole moments. If the excitation process is composed of both a two-step one-photon process and a one-step, two-photon process, then there are two peaks on transitions with parallel dipole moments and three peaks on transitions with antiparallel dipole moments. This latter case is in excellent agreement with the experiment.
[ { "version": "v1", "created": "Mon, 20 Sep 1999 03:29:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Wang", "Jin", "" ], [ "Wiseman", "H. M.", "" ], [ "Ficek", "Z.", "" ] ]
quant-ph/9909060
Armin Uhlmann
Armin Uhlmann
Fidelity and Concurrence of conjugated states
10 pages, RevTex, Correction: Enlarged, reorganized version. More explanations
Phys. Rev. A, 62, 032307 (2000)
10.1103/PhysRevA.62.032307
null
quant-ph math-ph math.MP
null
We prove some new properties of fidelity (transition probability) and concurrence, the latter defined by straightforward extension of Wootters notation. Choose a conjugation and consider the dependence of fidelity or of concurrence on conjugated pairs of density operators. These functions turn out to be concave or convex roofs. Optimal decompositions are constructed. Some applications to two- and tripartite systems illustrate the general theorem.
[ { "version": "v1", "created": "Mon, 20 Sep 1999 09:06:48 GMT" }, { "version": "v2", "created": "Sun, 10 Oct 1999 12:46:14 GMT" }, { "version": "v3", "created": "Sat, 4 Dec 1999 14:50:40 GMT" }, { "version": "v4", "created": "Fri, 7 Jul 2000 09:00:46 GMT" } ]
2009-10-31T00:00:00
[ [ "Uhlmann", "Armin", "" ] ]
quant-ph/9909061
Nikolay Vitanov
R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann
Coherent properties of a tripod system coupled via a continuum
9 pages, 4 figures, twocolumn revtex style. Copies with figures of better quality available upon request
null
10.1103/PhysRevA.61.043408
null
quant-ph
null
We present results from a study of the coherence properties of a system involving three discrete states coupled to each other by two-photon processes via a common continuum. This tripod linkage is an extension of the standard laser-induced continuum structure (LICS) which involves two discrete states and two lasers. We show that in the tripod scheme, there exist two population trapping conditions; in some cases these conditions are easier to satisfy than the single trapping condition in two-state LICS. Depending on the pulse timing, various effects can be observed. We derive some basic properties of the tripod scheme, such as the solution for coincident pulses, the behaviour of the system in the adiabatic limit for delayed pulses, the conditions for no ionization and for maximal ionization, and the optimal conditions for population transfer between the discrete states via the continuum. In the case when one of the discrete states is strongly coupled to the continuum, the population dynamics reduces to a standard two-state LICS problem (involving the other two states) with modified parameters; this provides the opportunity to customize the parameters of a given two-state LICS system.
[ { "version": "v1", "created": "Mon, 20 Sep 1999 11:47:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Unanyan", "R. G.", "" ], [ "Vitanov", "N. V.", "" ], [ "Shore", "B. W.", "" ], [ "Bergmann", "K.", "" ] ]
quant-ph/9909062
Paul Slater
Paul B. Slater (University of California)
Essentially All Gaussian Two-Party Quantum States are a priori Nonclassical but Classically Correlated
Seven pages, one table. Expanded introduction, additional references included
J. Opt. B: Quantum Semiclass. Opt. 2 (2000) L19-L24
10.1088/1464-4266/2/4/101
null
quant-ph
null
Duan, Giedke, Cirac and Zoller (quant-ph/9908056) and, independently, Simon (quant-ph/9909044) have recently found necessary and sufficient conditions for the separability (classical correlation) of the Gaussian two-party (continuous variable) states. Duan et al remark that their criterion is based on a "much stronger bound" on the total variance of a pair of Einstein-Podolsky-Rosen-type operators than is required simply by the uncertainty relation. Here, we seek to formalize and test this particular assertion in both classical and quantum-theoretic frameworks. We first attach to these states the classical a priori probability (Jeffreys' prior), proportional to the volume element of the Fisher information metric on the Riemannian manifold of Gaussian (quadrivariate normal) probability distributions. Then, numerical evidence indicates that more than ninety-nine percent of the Gaussian two-party states do, in fact, meet the more stringent criterion for separability. We collaterally note that the prior probability assigned to the classical states, that is those having positive Glauber-Sudarshan P-representations, is less than one-thousandth of one percent. We, then, seek to attach as a measure to the Gaussian two-party states, the volume element of the associated (quantum-theoretic) Bures (minimal monotone) metric. Our several extensive analyses, then, persistently yield probabilities of separability and classicality that are, to very high orders of accuracy, unity and zero, respectively, so the two apparently quite distinct (classical and quantum-theoretic) forms of analysis are rather remarkably consistent in their findings.
[ { "version": "v1", "created": "Mon, 20 Sep 1999 22:01:22 GMT" }, { "version": "v2", "created": "Mon, 18 Oct 1999 18:09:02 GMT" }, { "version": "v3", "created": "Wed, 10 Nov 1999 19:01:05 GMT" }, { "version": "v4", "created": "Tue, 21 Mar 2000 22:23:53 GMT" } ]
2009-10-31T00:00:00
[ [ "Slater", "Paul B.", "", "University of California" ] ]
quant-ph/9909063
Alexander Elgart
J. E. Avron and A. Elgart
Smooth adiabatic evolutions with leaky power tails
Final form, to appear in J. Phys. A; 11 pages, no figures
null
10.1088/0305-4470/32/50/102
null
quant-ph math-ph math.MP physics.atom-ph
null
Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by considering the Friedrichs model.
[ { "version": "v1", "created": "Tue, 21 Sep 1999 08:58:14 GMT" }, { "version": "v2", "created": "Mon, 8 Nov 1999 10:05:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Avron", "J. E.", "" ], [ "Elgart", "A.", "" ] ]
quant-ph/9909064
Pinaki Roy
B.Roy and P.Roy
Time dependent nonclassical properties of even and odd nonlinear coherent states
3 eps figures
null
10.1016/S0375-9601(99)00693-3
null
quant-ph
null
We construct even and odd nonlinear coherent states of a parametric oscillator and examine their nonclassical properties.It has been shown that these superpositions exhibit squeezing and photon antibunching which change with time.
[ { "version": "v1", "created": "Tue, 21 Sep 1999 11:05:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Roy", "B.", "" ], [ "Roy", "P.", "" ] ]
quant-ph/9909065
Marcel Reginatto
Marcel Reginatto
Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information
17 pages, no figures
null
null
null
quant-ph
null
The Schrodinger equation can be derived using the minimum Fisher information principle. I discuss why such an approach should work, and also show that the Kahler and Hilbert space structures of quantum mechanics result from combining the symplectic structure of the hydrodynamical model with the Fisher information metric.
[ { "version": "v1", "created": "Tue, 21 Sep 1999 15:18:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Reginatto", "Marcel", "" ] ]
quant-ph/9909066
John Grondalski
John P. Grondalski, Paul M. Alsing, Ivan H. Deutsch
Spatial Correlation Diagnostics for Atoms in Optical Lattices
13 pages, 6 figures
"Spatial correlation diagnostics for atoms in optical lattices", J. Grondalski, I. H. Deutsch, and P. M. Alsing, Opt. Exp. vol. 5, 249 (1999), Direct link to Journal: http://epubs.osa.org/oearchive/pdf/12687.pdf
10.1364/OE.5.000249
null
quant-ph
null
We explore the use of first and second order same-time atomic spatial correlation functions as a diagnostic for probing the small scale spatial structure of atomic samples trapped in optical lattices. Assuming an ensemble of equivalent atoms, properties of the local wave function at a given lattice site can be measured using same-position first-order correlations. Statistics of atomic distributions over the lattice can be measured via two-point correlations, generally requiring the averaging of multiple realizations of statistically similar but distinct realizations in order to obtain sufficient signal to noise. Whereas two-point first order correlations are fragile due to phase fluctuations from shot-to-shot in the ensemble, second order correlations are robust. We perform numerical simulations to demonstrate these diagnostic tools.
[ { "version": "v1", "created": "Tue, 21 Sep 1999 17:07:46 GMT" }, { "version": "v2", "created": "Thu, 17 Aug 2000 02:37:40 GMT" } ]
2015-06-26T00:00:00
[ [ "Grondalski", "John P.", "" ], [ "Alsing", "Paul M.", "" ], [ "Deutsch", "Ivan H.", "" ] ]
quant-ph/9909067
Arvind
Arvind (GNDU. Amritsar) and Kavita Dorai (IISc. Bangalore) and Anil Kumar (IISc. Bangalore)
Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm
4-pages in revtex with 5 eps figure included using psfig
Pramana Jr. of Physics 56, L705-L713 (2001)
10.1007/s12043-001-0095-8
null
quant-ph
null
A scheme to execute an n-bit Deutsch-Jozsa (D-J) algorithm using n qubits has been implemented for up to three qubits on an NMR quantum computer. For the one and two bit Deutsch problem, the qubits do not get entangled, hence the NMR implementation is achieved without using spin-spin interactions. It is for the three bit case, that the manipulation of entangled states becomes essential. The interactions through scalar J-couplings in NMR spin systems have been exploited to implement entangling transformations required for the three bit D-J algorithm.
[ { "version": "v1", "created": "Wed, 22 Sep 1999 08:34:48 GMT" } ]
2015-06-26T00:00:00
[ [ "Arvind", "", "", "GNDU. Amritsar" ], [ "Dorai", "Kavita", "", "IISc. Bangalore" ], [ "Kumar", "Anil", "", "IISc. Bangalore" ] ]
quant-ph/9909068
Miloslav Znojil
Miloslav Znojil
Short-range oscillators in power-series picture
23 pages, latex, submitted to J. Phys. A: Math. Gen
J. Phys. A: Math. Gen. 33 (2000) 1647-59
10.1088/0305-4470/33/8/309
null
quant-ph
null
A class of short-range potentials on the line is considered as an asymptotically vanishing phenomenological alternative to the popular confining polynomials. We propose a method which parallels the analytic Hill-Taylor description of anharmonic oscillators and represents all our Jost solutions non-numerically, in terms of certain infinite hypergeometric-like series. In this way the well known solvable Rosen-Morse and scarf models are generalized.
[ { "version": "v1", "created": "Wed, 22 Sep 1999 16:10:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Znojil", "Miloslav", "" ] ]
quant-ph/9909069
P. Narayana Swamy
P. Narayana Swamy
q-Deformed Boson Oscillators and Zero Point Energy
9 pages
Int. J. Mod. Phys. B12, 3495 (1998)
null
null
quant-ph
null
Just as for the ordinary quantum harmonic oscillators, we expect the zero-point energy to play a crucial role in the correct high temperature behavior. We accordingly reformulate the theory of the statistical distribution function for the q-deformed boson oscillators and develop an approximate theory incorporating the zero-point energy. We are then able to demonstrate that for small deformations, the theory reproduces the correct limits both for very high temperatures and for very low temperatures. The deformed theory thus reduces to the undeformed theory in these extreme cases.
[ { "version": "v1", "created": "Wed, 22 Sep 1999 16:32:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Swamy", "P. Narayana", "" ] ]
quant-ph/9909070
David Collins
G. D. Sanders, K. W. Kim, and W. C. Holton
An optically driven quantum dot quantum computer
4 figures
null
10.1103/PhysRevA.60.4146
null
quant-ph
null
We propose a quantum computer structure based on coupled asymmetric single-electron quantum dots. Adjacent dots are strongly coupled by means of electric dipole-dipole interactions enabling rapid computation rates. Further, the asymmetric structures can be tailored for a long coherence time. The result maximizes the number of computation cycles prior to loss of coherence.
[ { "version": "v1", "created": "Wed, 22 Sep 1999 21:50:54 GMT" } ]
2009-10-31T00:00:00
[ [ "Sanders", "G. D.", "" ], [ "Kim", "K. W.", "" ], [ "Holton", "W. C.", "" ] ]
quant-ph/9909071
Robert Clifton
Rob Clifton (Department of Philosophy, Department of History and Philosophy of Science, University of Pittsburgh), Bradley Monton (Department of Philosophy, Princeton University)
Counting Marbles with 'Accessible' Mass Density: A Reply to Bassi and Ghirardi
14 pages, TeX, submitted to The British Journal for Philosophy of Science
null
null
null
quant-ph
null
In a previous article (cf. quant-ph/9905065) we argued that, while Lewis is correct that the enumeration principle fails in dynamical wavepacket reduction theories, one need not following Lewis in rejecting these theories. Because the dynamical reduction process itself prevents the failure of enumeration from ever becoming manifest, and because one can treat the semantics for dynamical reduction theories as not adding anything of ontological import to them, it is reasonable to accept these theories notwithstanding Lewis's counting anomaly. In their response to our paper (cf. quant-ph/9907050), Bassi and Ghirardi reject our criticisms of their own response to Lewis, as well as our argument against Lewis that dynamical reduction precludes failures of enumeration from ever becoming manifest. Our intention here is to demonstrate that Bassi and Ghirardi's responses to us do not succeed.
[ { "version": "v1", "created": "Thu, 23 Sep 1999 01:24:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Clifton", "Rob", "", "Department of Philosophy, Department of History and\n Philosophy of Science, University of Pittsburgh" ], [ "Monton", "Bradley", "", "Department\n of Philosophy, Princeton University" ] ]
quant-ph/9909072
Lev Vaidman
Y. Aharonov and L. Vaidman
Nonlocal Aspects of a Quantum Wave
12 pages
null
10.1103/PhysRevA.61.052108
null
quant-ph hep-th
null
Various aspects of nonlocality of a quantum wave are discussed. In particular, the question of the possibility of extracting information about the relative phase in a quantum wave is analyzed. It is argued that there is a profound difference in the nonlocal properties of the quantum wave between fermion and boson particles. The phase of the boson quantum state can be found from correlations between results of measurements in separate regions. These correlations are identical to the Einstein-Podolsky-Rosen (EPR) correlations between two entangled systems. An ensemble of results of measurements performed on fermion quantum waves does not exhibit the EPR correlations and the relative phase of fermion quantum waves cannot be found from these results. The existence of a physical variable (the relative phase) which cannot be measured locally is the nonlocality aspect of the quantum wave of a fermion.
[ { "version": "v1", "created": "Thu, 23 Sep 1999 12:49:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Aharonov", "Y.", "" ], [ "Vaidman", "L.", "" ] ]
quant-ph/9909073
Paul Busch
P. Busch (Hull, UK)
Quantum states and generalized observables: a simple proof of Gleason's theorem
3 pages, revtex. New title, and presentation substantially revised, focus now being on the characterization of probability measures on the set of effects rather than the question of hidden variables
Phys. Rev. Lett. 91, 120403 (2003)
10.1103/PhysRevLett.91.120403
null
quant-ph
null
A quantum state can be understood in a loose sense as a map that assigns a value to every observable. Formalizing this characterization of states in terms of generalized probability distributions on the set of effects, we obtain a simple proof of the result, analogous to Gleason's theorem, that any quantum state is given by a density operator. As a corollary we obtain a von Neumann-type argument against non-contextual hidden variables. It follows that on an individual interpretation of quantum mechanics, the values of effects are appropriately understood as propensities.
[ { "version": "v1", "created": "Thu, 23 Sep 1999 13:57:31 GMT" }, { "version": "v2", "created": "Sat, 26 May 2001 00:02:36 GMT" }, { "version": "v3", "created": "Wed, 28 May 2003 20:09:22 GMT" } ]
2011-01-04T00:00:00
[ [ "Busch", "P.", "", "Hull, UK" ] ]
quant-ph/9909074
Dima Shepelyansky
B. Georgeot and D. L. Shepelyansky (CNRS, Toulouse)
Quantum Chaos Border for Quantum Computing
revtex, 4 pages, 5 figures, more details and data added
null
10.1103/PhysRevE.62.3504
null
quant-ph chao-dyn cond-mat nlin.CD
null
We study a generic model of quantum computer, composed of many qubits coupled by short-range interaction. Above a critical interqubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of the computer eigenstates. In this regime the noninteracting qubit structure disappears, the eigenstates become complex and the operability of the computer is destroyed. Despite the fact that the spacing between multi-qubit states drops exponentially with the number of qubits $n$, we show that the quantum chaos border decreases only linearly with $n$. This opens a broad parameter region where the efficient operation of a quantum computer remains possible.
[ { "version": "v1", "created": "Thu, 23 Sep 1999 16:43:39 GMT" }, { "version": "v2", "created": "Tue, 19 Oct 1999 16:50:45 GMT" }, { "version": "v3", "created": "Mon, 17 Jan 2000 11:54:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Georgeot", "B.", "", "CNRS, Toulouse" ], [ "Shepelyansky", "D. L.", "", "CNRS, Toulouse" ] ]
quant-ph/9909075
Matteo G. A. Paris
Matteo G A Paris
Optical qubit by conditional interferometry
RevTeX, 4 pictures (6 ps-files). Web contact at http://enterprise.pv.infn.it/~paris
Phys. Rev. A. vol 62, 033813 (2000)
10.1103/PhysRevA.62.033813
null
quant-ph
null
We suggest a method to prepare any chosen superposition a0 |0> + a1 |1> of the vacuum and one-photon states. The method is based on a conditional double-interferometer fed by an one-photon state and a coherent state. The scheme involves only linear optical elements and avalanche photodetectors, and therefore it should be realizable with current technology. A realistic description of the triggering photodetectors is employed, i.e. we assume that they can only check, with a certain efficiency, whether or not any photon is present. We discuss two working regimes, and show that output states with fidelity arbitrarily close to unit may be obtained, with non vanishing conditional probability, also for low quantum efficiency at the photodetectors.
[ { "version": "v1", "created": "Fri, 24 Sep 1999 11:40:14 GMT" } ]
2009-10-31T00:00:00
[ [ "Paris", "Matteo G A", "" ] ]
quant-ph/9909076
Valerie Nowak
Stephen L. Adler
Derivation of the Lindblad Generator Structure by use of the It\^o Stochastic Calculus
Plain TEX, no figures or tables
null
10.1016/S0375-9601(99)00847-6
IASSNS-HEP-99/85
quant-ph
null
We use the It\^o stochastic calculus to give a simple derivation of the Lindblad form for the generator of a completely positive density matrix evolution, by specialization from the corresponding global form for a completely positive map. As a by-product, we obtain a generalized generator for a completely positive stochastic density matrix evolution.
[ { "version": "v1", "created": "Fri, 24 Sep 1999 20:31:44 GMT" } ]
2009-10-31T00:00:00
[ [ "Adler", "Stephen L.", "" ] ]
quant-ph/9909077
C. Y. Chen
Changye Chen
Legitimacy of wave-function expansion
8 pages, 0 figure
null
null
null
quant-ph
null
In this letter we investigate the common procedure in which any wave function is expanded into a series of eigenfunctions. It is shown that as far as dynamical systems are concerned the expanding procedure involves various mathematical and physical difficulties. With or without introducing phase factors, such expansions do not represent dynamical wave functions.
[ { "version": "v1", "created": "Sat, 25 Sep 1999 03:44:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Changye", "" ] ]
quant-ph/9909078
Robert A. Herrmann
Robert A. Herrmann
The Encoding of Quantum State Information Within Subparticles
Plain Tex, 6 pages. In this version, significant uniqueness statements are added
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A method is given by which the descriptive content of quantum state information can be encoded into subparticle coordinates. This method is consistent with the MA-model solution to the general grand unification problem. Subparticle mechanisms via affine or linear transformations are also discussed.
[ { "version": "v1", "created": "Sat, 25 Sep 1999 15:04:14 GMT" }, { "version": "v2", "created": "Mon, 21 Feb 2005 19:28:04 GMT" }, { "version": "v3", "created": "Fri, 8 Jul 2005 13:31:30 GMT" }, { "version": "v4", "created": "Wed, 29 Mar 2006 15:51:55 GMT" }, { "version": "v5", "created": "Sun, 6 Jan 2008 12:38:53 GMT" }, { "version": "v6", "created": "Sat, 20 Dec 2008 14:16:44 GMT" }, { "version": "v7", "created": "Mon, 22 Nov 2010 14:32:31 GMT" } ]
2010-11-23T00:00:00
[ [ "Herrmann", "Robert A.", "" ] ]
quant-ph/9909079
Alexander D. Panov
Alexander D. Panov
General equation for Zeno-like effects in spontaneous exponential decay
LaTeX 2.09 file, 11 pages, no figures. Accepted in Physics Letters A
Physics Letters A, V.260, No 6 (1999), P. 441-446
10.1016/S0375-9601(99)00570-8
null
quant-ph
null
It was shown that different mechanisms of perturbation of spontaneous decay constant: inelastic interaction of emitted particles with particle detector, decay onto an unstable level, Rabi transition from the final state of decay (electromagnetic field domination) and some others are really the special kinds of one general effect - perturbation of decay constant by dissipation of the final state of decay. Such phenomena are considered to be Zeno-like effects and general formula for perturbed decay constant is deduced.
[ { "version": "v1", "created": "Sun, 26 Sep 1999 09:37:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Panov", "Alexander D.", "" ] ]
quant-ph/9909080
Arnold Neumaier
Arnold Neumaier
Noncommutative analysis and quantum physics I. States and ensembles
38 pages
null
null
null
quant-ph gr-qc
null
In this sequence of papers, noncommutative analysis is used to give a consistent axiomatic approach to a unified conceptual foundation of classical and quantum physics. The present Part I defines the concepts of observables, states and ensembles, clarifies the logical relations and operations for them, and shows how they give rise to dynamics and probabilities. States are identified with maximal consistent sets of weak equalities in the algebra of observables (instead of, as usual, with the rays in a Hilbert space). This leads to a concise foundation of quantum mechanics, free of undefined terms, separating in a clear way the deterministic and the stochastic features of quantum physics. The traditional postulates of quantum mechanics are derived from well-motivated axiomatic assumptions. No special quantum logic is needed to handle the peculiarities of quantum mechanics. Foundational problems associated with the measurement process, such as the reduction of the state vector, disappear. The new interpretation of quantum mechanics contains `elements of physical reality' without the need to introduce a classical framework with hidden variables. In particular, one may talk about the state of the universe without the need of an external observer and without the need to assume the existence of multiple universes.
[ { "version": "v1", "created": "Sun, 26 Sep 1999 15:01:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Neumaier", "Arnold", "" ] ]
quant-ph/9909081
Hani Kaldass
A. Bohm and H. Kaldass
Rigged Hilbert Space Resonances and Time Asymmetric Quantum Mechanics
17 pages
null
null
null
quant-ph math-ph math.MP
null
The Rigged Hilbert Space (RHS) theory of resonance scattering and decay is reviewed and contrasted with the standard Hilbert space (HS) theory of quantum mechanics. The main difference is in the choice of boundary conditions. Whereas the conventional theory allows for the in-states $\phi^+$ and the out-states (observables) $\psi^-$ of the S-matrix elements $(\psi^-,\phi^+)=(\psi^{out},S \phi^{in})$ any elements of the HS $\H$, $\{\psi^-\}=\{\phi^+\}(=\H)$, the RHS theory chooses the boundary conditions~: $\phi^+\in\Phi_-\subset\H\subset\Phi_-^\times$, $\psi^-\in\Phi_+\subset \H\subset \Phi_+^\times$, where $\Phi_-$ ($\Phi_+$) are Hardy class spaces associated to the lower (upper) half-plane of the second sheet of the analytically continued S-matrix. This can be phenomenologically justified by causality. The two RHS's for states $\phi^+$ and observables $\psi^-$ provide new vectors which are not in $\H$, e.g. the Dirac-Lippmann-Schwinger kets $|E^{\pm}\in\Phi_{\mp}^{\times}$ (solutions of the Lippmann-Schwinger equation with $\pm i\epsilon$ respectively) and the Gamow vectors $|E_R-i\Gamma/2^\pm\in\Phi_{\mp}^\times$. The Gamow vectors $|E_R-i\Gamma/2^-$ have all the properties that one heuristically needs for quasistable states. In addition, they give rise to asymmetric time evolution expressing irreversibility on the microphysical level.
[ { "version": "v1", "created": "Mon, 27 Sep 1999 03:05:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Bohm", "A.", "" ], [ "Kaldass", "H.", "" ] ]
quant-ph/9909082
Apoorva D. Patel
Apoorva Patel (CTS, IISc, Bangalore, India)
What is Quantum Computation?
Latex, 17 pages, no figures. Invited talk presented at the Indo-French workshop on "Probing Fundamental Problems with Lasers and Cold Atoms", IIA, Bangalore, India, January 1999. To appear in the proceedings. Summary of lectures presented at the "Discussion Meeting on Quantum Computation", JNCASR, Bangalore, India, July 1999
null
null
CTS-IISc/6-99
quant-ph
null
Quantum computation is a rapidly progressing field today. What are its principles? In what sense is it distinct from conventional computation? What are its advantages and disadvantages? What type of problems can it address? How practical is it to make a quantum computer? I summarise some of the important concepts of quantum computation, in an attempt to answer these questions. A deeper understanding of them would pave the way for future development.
[ { "version": "v1", "created": "Mon, 27 Sep 1999 10:37:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Patel", "Apoorva", "", "CTS, IISc, Bangalore, India" ] ]
quant-ph/9909083
Andrew G. White
P. G. Kwiat (1), A. G. White (1), J. R. Mitchell (1), O. Nairz (2), G. Weihs (2), H. Weinfurter (2), and A. Zeilinger (2) ((1) Los Alamos National Laboratory (2) University of Innsbruck)
High-efficiency quantum interrogation measurements via the quantum Zeno effect
4 pages, 3 postscript figures. To appear in Phys. Rev. Lett; submitted June 11, 1999
Physical Review Letters 83, no. 23, pp. 4725-4728 (1999).
10.1103/PhysRevLett.83.4725
LAUR 98-5654
quant-ph
null
The phenomenon of quantum interrogation allows one to optically detect the presence of an absorbing object, without the measuring light interacting with it. In an application of the quantum Zeno effect, the object inhibits the otherwise coherent evolution of the light, such that the probability that an interrogating photon is absorbed can in principle be arbitrarily small. We have implemented this technique, demonstrating efficiencies exceeding the 50% theoretical-maximum of the original ``interaction-free'' measurement proposal. We have also predicted and experimentally verified a previously unsuspected dependence on loss; efficiencies of up to 73% were observed and the feasibility of efficiencies up to 85% was demonstrated.
[ { "version": "v1", "created": "Mon, 27 Sep 1999 16:52:07 GMT" } ]
2009-10-31T00:00:00
[ [ "Kwiat", "P. G.", "" ], [ "White", "A. G.", "" ], [ "Mitchell", "J. R.", "" ], [ "Nairz", "O.", "" ], [ "Weihs", "G.", "" ], [ "Weinfurter", "H.", "" ], [ "Zeilinger", "A.", "" ] ]
quant-ph/9909084
V. Hushwater
V. Hushwater
Radiation Pressure Approach to the Repulsive Casimir Force
11 pages, Revised summary of talk given to ITAMP Topical Group on Casimir Forces, Cambridge, MA, March 16-27, 1998
null
null
null
quant-ph
null
We study the Casimir force between a perfectly conducting and an infinitely permeable plate with the radiation pressure approach. This method illustrates how a repulsive force arises as a consequence of the redistribution of the vacuum-field modes corresponding to specific boundary conditions. We discuss also how the method of the zero-point radiation pressure follows from QED.
[ { "version": "v1", "created": "Mon, 27 Sep 1999 21:54:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Hushwater", "V.", "" ] ]
quant-ph/9909085
Arkadiusz Jadczyk
Ph. Blanchard, A. Jadczyk and R. Olkiewicz
Completely Mixing Quantum Open Systems and Quantum Fractals
Latex format, 20 pages, 6 figures in jpg format. New replacement has two more references (including one to a paper by G. Casati et al on quantum fractal eigenstates), adds example and comments concerning mixing properties of of a two-level atom driven by a laser field, and also adds a number of other remarks which should make it easier to follow mathematical arguments
Physica D: Nonlinear Phenomena, 148 (3-4) (2001) pp. 227-241
10.1016/S0167-2789(00)00175-5
null
quant-ph chao-dyn nlin.CD
null
Departing from classical concepts of ergodic theory, formulated in terms of probability densities, measures describing the chaotic behavior and the loss of information in quantum open systems are proposed. As application we discuss the chaotic outcomes of continuous measurement processes in the EEQT framework. Simultaneous measurement of four noncommuting spin components is shown to lead to a chaotic jump on quantum spin sphere and to generate specific fractal images - nonlinear ifs (iterated function system). The model is purely theoretical at this stage, and experimental confirmation of the chaotic behavior of measuring instruments during simultaneous continuous measurement of several noncommuting quantum observables would constitute a quantitative verification of Event Enhanced Quantum Theory.
[ { "version": "v1", "created": "Tue, 28 Sep 1999 11:16:54 GMT" }, { "version": "v2", "created": "Sat, 9 Oct 1999 18:07:47 GMT" }, { "version": "v3", "created": "Thu, 25 May 2000 01:58:47 GMT" } ]
2009-10-31T00:00:00
[ [ "Blanchard", "Ph.", "" ], [ "Jadczyk", "A.", "" ], [ "Olkiewicz", "R.", "" ] ]
quant-ph/9909086
Bo-Sture Skagerstam
Bo-Sture Skagerstam
Topics in Modern Quantum Optics
97 pages, 23 figures, 187 references. Misprints corrected, most figures redrawn and references updated
null
null
null
quant-ph
null
This is the written version of lectures presented at "The 17th Symposium on Theoretical Physics - Applied Field Theory", 29 June - 1 July, 1998, the Sangsan Mathematical Science Building, Seoul National University, Seoul, Korea.
[ { "version": "v1", "created": "Tue, 28 Sep 1999 17:35:03 GMT" }, { "version": "v2", "created": "Sat, 6 Nov 1999 15:15:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Skagerstam", "Bo-Sture", "" ] ]
quant-ph/9909087
Nikolaj A. Ketsaris
A. A. Ketsaris
Generalized equation of relativistic quantum mechanics in a gauge field
13 pages, no figures, uses revtex, submitted to Phys.Rev.D
null
null
null
quant-ph
null
We develop an unified algebraic approach to the description of gauge interactions within the framework of a new concept of quantum mechanics. The next step in generalizing the space-time and the action vector space is made. The gauge field is defined through linear mappings in the generalized space-time and the action space. Relativistic quantum mechanics equations for particles in a gauge field are derived from the structure equations for the action space expanded in the linear mappings of action vectors. In a special case, these equations are reduced to the relativistic equations for the leptons in the electroweak field. As against the standard Glashow-Weinberg-Salam model, the set of equations includes the equation for the right neutrino interacting only with the weak Z-field.
[ { "version": "v1", "created": "Tue, 28 Sep 1999 17:56:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Ketsaris", "A. A.", "" ] ]
quant-ph/9909088
Georgios Nikolopoulos
Georgios M. Nikolopoulos, S{\o}ren Bay and P. Lambropoulos
Quantum systems coupled to a structured reservoir with multiple excitations
LaTeX format, 4 pages, 2 figures, to appear in Physical Review A
null
10.1103/PhysRevA.60.5079
null
quant-ph
null
We present a method for dealing with quantum systems coupled to a structured reservoir with any density of modes and with more than one excitation. We apply the method to a two-level atom coupled to the edge of a photonic band gap and a defect mode. Results pertaining to this system, provide the solution to the problem of two photons in the reservoir and possible generalization is discussed.
[ { "version": "v1", "created": "Wed, 29 Sep 1999 08:14:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Nikolopoulos", "Georgios M.", "" ], [ "Bay", "Søren", "" ], [ "Lambropoulos", "P.", "" ] ]
quant-ph/9909089
Alberto Carlini
A. Carlini and A. Hosoya
Quantum Computers and Unstructured Search: Finding and Counting Items with an Arbitrarily Entangled Initial State
Completely revised version, accepted for publ. on PLA.; 11 pages
null
null
TIT/HEP-430/COSMO-96
quant-ph
null
Grover's quantum algorithm for an unstructured search problem and the Count algorithm by Brassard et al. are generalized to the case when the initial state is arbitrarily and maximally entangled. This ansatz might be relevant with quantum subroutines, when the computational qubits and the environment are coupled, and in general when the control over the quantum system is partial.
[ { "version": "v1", "created": "Wed, 29 Sep 1999 08:17:54 GMT" }, { "version": "v2", "created": "Mon, 4 Oct 1999 07:14:04 GMT" }, { "version": "v3", "created": "Mon, 22 Jan 2001 09:43:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Carlini", "A.", "" ], [ "Hosoya", "A.", "" ] ]
quant-ph/9909090
Vincent Buonomano
Vincent Buonomano
A Co-Operative Phenomena Type Local Realistic Theory
8 pages, 1 figure (GIF)
null
null
null
quant-ph
null
We analyze a conceivable type of local realistic theory, which we call a co-operative phenomena type local realistic theory. In an experimental apparatus to measure second or fourth order interference effects, it images that their exists a stable global pattern or mode in a hypothesized medium that is at least the size of the coherence volume of all the involved beams. If you change the position of a mirror, beam splitter, polarizer, state preparation, or block a beam then a new and different stable global state is entered very quickly. In an interferometer a photon passes only one arm of the apparatus but knows if the other arm is open or closed since the global pattern through which it travels through contains this information and guides it appropriately. In a polarization correlation experiment, two distant polarizers are part of the same global pattern or state which is very rapidly determined by the whole apparatus. It is experimentally testable. The situation in relationship to the special relativity is also discussed.
[ { "version": "v1", "created": "Wed, 29 Sep 1999 13:58:09 GMT" }, { "version": "v2", "created": "Sun, 3 Oct 1999 18:04:33 GMT" } ]
2009-09-25T00:00:00
[ [ "Buonomano", "Vincent", "" ] ]
quant-ph/9909091
Eugenio DelRe
E. DelRe (1), B. Crosignani (2), and P. Di Porto (2) ((1) Fondazione Ugo Bordoni, (2) Dipartimento di Fisica, Universita' dell'Aquila)
A scheme for total quantum teleportation
6 pages
null
10.1103/PhysRevLett.84.2989
null
quant-ph
null
We address the issue of totally teleporting the quantum state of an external particle, as opposed to studies on partial teleportation of external single-particle states, total teleportation of coherent states and encoded single-particle states, and intramolecular teleportation of nuclear spin states. We find a set of commuting observables whose measurement directly projects onto the Bell-basis and discuss a possible experiment, based on two-photon absorption, allowing, for the first time, total teleportation of the state of a single external photon through a direct projective measurement.
[ { "version": "v1", "created": "Wed, 29 Sep 1999 16:17:58 GMT" } ]
2009-10-31T00:00:00
[ [ "DelRe", "E.", "" ], [ "Crosignani", "B.", "" ], [ "Di Porto", "P.", "" ] ]
quant-ph/9909092
Ali Mostafazadeh
Ali Mostafazadeh
Comment on Identical Motion in Classical and Quantum Mechanics
Plain Latex, accepted for publication in Phys. Rev. A
Phys.Rev. A60 (1999) 5144-5145
10.1103/PhysRevA.60.5144
null
quant-ph hep-th
null
Makowski and Konkel [Phys. Rev. A 58, 4975 (1998)] have obtained certain classes of potentials which lead to identical classical and quantum Hamilton-Jacobi equations. We obtain the most general form of these potential.
[ { "version": "v1", "created": "Thu, 30 Sep 1999 13:11:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Mostafazadeh", "Ali", "" ] ]
quant-ph/9909093
Ali Mostafazadeh
Ali Mostafazadeh
Noncyclic geometric phase and its non-Abelian generalization
Plain Latex, accepted for publication in J. Phys. A: Math. Gen
J.Phys.A32:8157-8171,1999
10.1088/0305-4470/32/46/312
null
quant-ph hep-th
null
We use the theory of dynamical invariants to yield a simple derivation of noncyclic analogues of the Abelian and non-Abelian geometric phases. This derivation relies only on the principle of gauge invariance and elucidates the existing definitions of the Abelian noncyclic geometric phase. We also discuss the adiabatic limit of the noncyclic geometric phase and compute the adiabatic non-Abelian noncyclic geometric phase for a spin 1 magnetic (or electric) quadrupole interacting with a precessing magnetic (electric) field.
[ { "version": "v1", "created": "Thu, 30 Sep 1999 13:03:14 GMT" } ]
2008-11-26T00:00:00
[ [ "Mostafazadeh", "Ali", "" ] ]
quant-ph/9909094
Emanuel Knill
E. Knill, R. Laflamme
Quantum Computation and Quadratically Signed Weight Enumerators
7 pages
null
null
null
quant-ph cs.CC
null
We prove that quantum computation is polynomially equivalent to classical probabilistic computation with an oracle for estimating the value of simple sums, quadratically signed weight enumerators. The problem of estimating these sums can be cast in terms of promise problems and has two interesting variants. An oracle for the unconstrained variant may be more powerful than quantum computation, while an oracle for a more constrained variant is efficiently solvable in the one-bit model of quantum computation. Thus, problems involving estimation of quadratically signed weight enumerators yield problems in BQP (bounded error quantum polynomial time) that are distinct from the ones studied so far, include a canonical BQP complete problem, and can be used to define and study complexity classes and their relationships to quantum computation.
[ { "version": "v1", "created": "Thu, 30 Sep 1999 22:24:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Knill", "E.", "" ], [ "Laflamme", "R.", "" ] ]
quant-ph/9910001
Carlton M. Caves
Carlton M. Caves (1) and Gerard J. Milburn (2) ((1) University of New Mexico, (2) University of Queensland)
Qutrit Entanglement
12 pages; formatted in REVTEX; no figures; submitted to Optics Communications on September 1, 1999
null
10.1016/S0030-4018(99)00693-8
null
quant-ph
null
We consider the separability of various joint states for N qutrits. We derive two results: (i) the separability condition for a two-qutrit state that is a mixture of the maximally mixed state and a maximally entangled state (such a state is a generalization of the Werner state for two qubits); (ii) upper and lower bounds on the size of the neighborhood of separable states surrounding the maximally mixed state for N qutrits.
[ { "version": "v1", "created": "Thu, 30 Sep 1999 23:12:10 GMT" }, { "version": "v2", "created": "Wed, 10 Nov 1999 18:00:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Caves", "Carlton M.", "" ], [ "Milburn", "Gerard J.", "" ] ]
quant-ph/9910002
Dr Matthew J. Donald
Matthew J. Donald and Michal Horodecki
Continuity of Relative Entropy of Entanglement
3 pages, RevTeX
Physics Letters A 264 (1999) 257-260
null
null
quant-ph
null
We show that an entanglement measure called relative entropy of entanglement satisfies a strong continuity condition. If two states are close to each other then so are their entanglements per particle pair in this measure. It follows in particular, that the measure is appropriate for the description of entanglement manipulations in the limit of an infinite number of pairs of particles.
[ { "version": "v1", "created": "Fri, 1 Oct 1999 10:45:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Donald", "Matthew J.", "" ], [ "Horodecki", "Michal", "" ] ]
quant-ph/9910003
Alina Suzko
A.A. Suzko and E.P. Velicheva (Joint Institute for Nuclear Research, Dubna, Russia)
Exact solutions of nonstationary Schredinger equations and geometric phase
8 pages, Latex
Yadernaya Fizika 61 (1998) 1884-1888
null
null
quant-ph
null
A procedure of solving nonstationary Schredinger equations in the exact analytic form is elaborated on the basis of exactly solvable stationary models. The exact solutions are employed to study the nonadiabatic geometric phase.
[ { "version": "v1", "created": "Fri, 1 Oct 1999 12:53:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Suzko", "A. A.", "", "Joint Institute for Nuclear Research,\n Dubna, Russia" ], [ "Velicheva", "E. P.", "", "Joint Institute for Nuclear Research,\n Dubna, Russia" ] ]
quant-ph/9910004
Shasanka Mohan Roy
S.M.Roy and Anu Venugopalan
Exact Solutions of the Caldeira-Leggett Master Equation: A Factorization Theorem For Decoherence
8 pages, latex
null
null
TIFR/TH/99-46
quant-ph
null
Exact solutions of the Caldeira-Leggett Master equation for the reduced density matrix for a free particle and for a harmonic oscillator system coupled to a heat bath of oscillators are obtained for arbitrary initial conditions. The solutions prove that the Fourier transform of the density matrix at time t with respect to (x + x')/2, where x and x' are the initial and final coordinates, factorizes exactly into a part depending linearly on the initial density matrix and a part independent of it. The theorem yields the exact initial state dependence of the density operator at time t and its eventual diagonalization in the energy basis.
[ { "version": "v1", "created": "Fri, 1 Oct 1999 13:47:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Roy", "S. M.", "" ], [ "Venugopalan", "Anu", "" ] ]
quant-ph/9910005
Sergio De Filippo
Sergio De Filippo
Quantum Computation using Decoherence-Free States of the Physical Operator Algebra
16 pages, LATEX/REVTEX, expanded version to appear in Phys. Rev. A
null
10.1103/PhysRevA.62.052307
null
quant-ph cond-mat hep-th
null
The states of the physical algebra, namely the algebra generated by the operators involved in encoding and processing qubits, are considered instead of those of the whole system-algebra. If the physical algebra commutes with the interaction Hamiltonian, and the system Hamiltonian is the sum of arbitrary terms either commuting with or belonging to the physical algebra, then its states are decoherence free. One of the considered examples shows that, for a uniform collective coupling to the environment, the smallest number of physical qubits encoding a decoherence free logical qubit is reduced from four to three.
[ { "version": "v1", "created": "Fri, 1 Oct 1999 17:07:59 GMT" }, { "version": "v2", "created": "Sun, 3 Oct 1999 06:29:07 GMT" }, { "version": "v3", "created": "Mon, 7 Aug 2000 11:37:40 GMT" } ]
2009-10-31T00:00:00
[ [ "De Filippo", "Sergio", "" ] ]
quant-ph/9910006
David Collins
David Collins (1), K. W. Kim (1), W. C. Holton (1), H. Sierzputowska-Gracz (2), and E. O. Stejskal (3) ((1) Electrical and Computer Engineering, (2) Biochemistry, (3) Chemistry, North Carolina State University, Raleigh, NC)
NMR quantum computation with indirectly coupled gates
9 pages, 2 figures. 10 additional figures illustrating output spectra
null
10.1103/PhysRevA.62.022304
null
quant-ph
null
An NMR realization of a two-qubit quantum gate which processes quantum information indirectly via couplings to a spectator qubit is presented in the context of the Deutsch-Jozsa algorithm. This enables a successful comprehensive NMR implementation of the Deutsch-Jozsa algorithm for functions with three argument bits and demonstrates a technique essential for multi-qubit quantum computation.
[ { "version": "v1", "created": "Fri, 1 Oct 1999 18:53:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Collins", "David", "" ], [ "Kim", "K. W.", "" ], [ "Holton", "W. C.", "" ], [ "Sierzputowska-Gracz", "H.", "" ], [ "Stejskal", "E. O.", "" ] ]
quant-ph/9910007
Bo-Sture Skagerstam
Per Rekdal and Bo-Sture Skagerstam
Quantum Dynamics of Non-Degenerate Parametric Amplification
32 pages, 13 figures. Accepted for publication in Physica Scripta
null
10.1238/Physica.Regular.061a00296
null
quant-ph
null
A simple model of a two-mode non-resonant parametric amplifier is studied with special regard to non-classical features such as revivals and squeezing. The methods used apply for an arbitrary pump parameter. Detailed analytical and explicit expressions are given when the coupling of the two modes has an harmonic time-dependence. Despite its simplicity the model exhibits a very broad range of intricate physical effects. We show that quantum revivals are possible for a broad continuous range of physical parameters in the case of initial Fock states. For coherent states we find that such revivals are possible only for certain discrete rational number combinations of the ratio of frequency detuning and pump parameters. Correlation effects are shown to be very sensitive to the initial state of the system.
[ { "version": "v1", "created": "Fri, 1 Oct 1999 19:47:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Rekdal", "Per", "" ], [ "Skagerstam", "Bo-Sture", "" ] ]
quant-ph/9910008
Oscar Rosas-Ortiz
D. J. Fernandez C. and O. Rosas-Ortiz
Evolution loops and spin-1/2 systems
8 pages, LaTeX file, no figures. To appear in Rep. Math. Phys
Coherent States, Quantization and Gravity; M. Schlichenmaier et al (Eds), Warsaw University Press, Poland (2001) 81-88
null
null
quant-ph
null
The derivation of a new family of magnetic fields inducing exactly solvable spin evolutions is presented. The conditions for which these fields generate the evolution loops (dynamical processes for which any spin state evolves cyclically) are studied. Their natural connection with geometric phases and the corresponding calculation is also elaborated.
[ { "version": "v1", "created": "Sun, 3 Oct 1999 18:05:19 GMT" } ]
2008-10-13T00:00:00
[ [ "C.", "D. J. Fernandez", "" ], [ "Rosas-Ortiz", "O.", "" ] ]
quant-ph/9910009
Oscar Rosas-Ortiz
O. Rosas-Ortiz, B Mielnik and L. M. Nieto
Backlund-type superposition and free particle n-susy partners
4 pages, LaTeX file, no figures. To appear in proceedings of the 6th International Conference on Squeezed States and Uncertainty Relations (ICSSUR'99). Napoli, Italy, May 24-29 (1999)
Sixth International Conference on Squeezed States and Uncertainty Relations D. Han and S. Solimeno (Eds.), NASA/CP-2000-209899 (2000) 218-221
null
null
quant-ph
null
The higher order susy partners of Schroedinger Hamiltonians can be explicitly constructed by iterating a nonlinear difference algorithm coinciding with the Backlund superposition principle used in soliton theory. As an example, it is applied in the construction of new higher order susy partners of the free particle potential, which can be used as a handy tool in soliton theory.
[ { "version": "v1", "created": "Sun, 3 Oct 1999 18:24:58 GMT" } ]
2008-10-13T00:00:00
[ [ "Rosas-Ortiz", "O.", "" ], [ "Mielnik", "B", "" ], [ "Nieto", "L. M.", "" ] ]