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quant-ph/9703030
Jose Acacio de Barros
J. Acacio de Barros (UFJF-Brazil), Gary Oas (Stanford Univ.), and P. Suppes (Stanford Univ.)
Comment on ``Nonlocality of a Single Photon Revisited''
This paper has been withdrawn. A crucial mistake was found in one of the equations
null
null
null
quant-ph
null
This paper has been withdrawn. A significantly revised version will be posted in the near future.
[ { "version": "v1", "created": "Tue, 18 Mar 1997 01:11:50 GMT" }, { "version": "v2", "created": "Sun, 23 Mar 1997 19:53:34 GMT" }, { "version": "v3", "created": "Fri, 3 Aug 2012 22:58:47 GMT" } ]
2012-08-07T00:00:00
[ [ "de Barros", "J. Acacio", "", "UFJF-Brazil" ], [ "Oas", "Gary", "", "Stanford Univ." ], [ "Suppes", "P.", "", "Stanford Univ." ] ]
quant-ph/9703031
Simone Warzel
B. Bodmann, H. Leschke, S. Warzel
Wiener Integration for Quantum Systems: A Unified Approach to the Feynman-Kac formula
12 pages, LATEX
Path integrals: Dubna '96, eds. V. S. Yarunin and M. A. Smondyrev, Dubna 1996, JINR E96-321, ISBN: 5-85165-451-1, pp. 95-106 (with minor improvements)
null
null
quant-ph
null
A generalized Feynman-Kac formula based on the Wiener measure is presented. Within the setting of a quantum particle in an electromagnetic field it yields the standard Feynman-Kac formula for the corresponding Schr\"odinger semigroup. In this case rigorous criteria for its validity are compiled. Finally, phase-space path-integral representations for more general quantum Hamiltonians are derived. These representations rely on a generalized Lie-Trotter formula which takes care of the operator-ordering multiplicity, but in general is not related to a path measure.
[ { "version": "v1", "created": "Tue, 18 Mar 1997 16:27:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Bodmann", "B.", "" ], [ "Leschke", "H.", "" ], [ "Warzel", "S.", "" ] ]
quant-ph/9703032
Michael Nielsen
M. A. Nielsen and Isaac L. Chuang
Programmable quantum gate arrays
3 pages, REVTEX. Submitted to Phys. Rev. Lett
null
10.1103/PhysRevLett.79.321
null
quant-ph
null
We show how to construct quantum gate arrays that can be programmed to perform different unitary operations on a data register, depending on the input to some program register. It is shown that a universal quantum gate array - a gate array which can be programmed to perform any unitary operation - exists only if one allows the gate array to operate in a probabilistic fashion. The universal quantum gate array we construct requires an exponentially smaller number of gates than a classical universal gate array.
[ { "version": "v1", "created": "Tue, 18 Mar 1997 17:52:54 GMT" } ]
2009-10-30T00:00:00
[ [ "Nielsen", "M. A.", "" ], [ "Chuang", "Isaac L.", "" ] ]
quant-ph/9703033
Mike Steel
M. J. Steel and D. F. Walls
Pumping of twin-trap Bose-Einstein condensates
19 pages, 10 Postscript figures
null
null
null
quant-ph
null
We consider extensions of the twin-trap Bose-Einstein condensate system of Javaneinen and Yoo [Phys. Rev. Lett., 76, 161--164 (1996)] to include pumping and output couplers. Such a system permits a continual outflow of two beams of atoms with a relative phase coherence maintained by the detection process. We study this system for two forms of thermal pumping, both with and without the influence of inter-atomic collisions. We also examine the effects of pumping on the phenomenon of collapses and revivals of the relative phase between the condensates.
[ { "version": "v1", "created": "Wed, 19 Mar 1997 05:45:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Steel", "M. J.", "" ], [ "Walls", "D. F.", "" ] ]
quant-ph/9703034
Holger Hofmann
Holger F. Hofmann, Ortwin Hess
Quantum Noise and Polarization Fluctuations in Vertical Cavity Surface Emitting Lasers
16 pages and 3 Figures, RevTex, to be published in Phys. Rev. A
Phys.Rev. A56 (1997) 868
10.1103/PhysRevA.56.868
null
quant-ph adap-org cond-mat nlin.AO physics.optics
null
We investigate the polarization fluctuations caused by quantum noise in quantum well vertical cavity surface emitting lasers (VCSELs). Langevin equations are derived on the basis of a generalized rate equation model in which the influence of competing gain-loss and frequency anisotropies is included. This reveals how the anisotropies and the quantum well confinement effects shape the correlations and the magnitude of fluctuations in ellipticity and in polarization direction. According to our results all parameters used in the rate equations may be obtained experimentally from precise time resolved measurements of the intensity and polarization fluctuations in the emitted laser light. To clarify the effects of anisotropies and of quantum well confinement on the laser process in VCSELs we therefore propose time resolved measurements of the polarization fluctuations in the laser light. In particular, such measurements allow to distinguish the effects of frequency anisotropy and of gain-loss anisotropy and would provide data on the spin relaxation rate in the quantum well structure during cw operation as well as representing a new way of experimentally determinig the linewidth enhancement factor alpha.
[ { "version": "v1", "created": "Wed, 19 Mar 1997 11:17:24 GMT" } ]
2009-10-30T00:00:00
[ [ "Hofmann", "Holger F.", "" ], [ "Hess", "Ortwin", "" ] ]
quant-ph/9703035
Artur Ekert
Artur Ekert
From quantum-codemaking to quantum code-breaking
21 pages, LaTeX2e, psfig, multi3.cls, 1 eps figure
null
null
null
quant-ph
null
This is a semi-popular overview of quantum entanglement as an important physical resource in the field of data security and quantum computing. After a brief outline of entanglement's key role in philosophical debates about the meaning of quantum mechanics I describe its current impact on both cryptography and cryptanalysis. The paper is based on the lecture given at the conference "Geometric Issues in the Foundations of Science" (Oxford, June 1996) in honor of Roger Penrose.
[ { "version": "v1", "created": "Wed, 19 Mar 1997 21:12:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Ekert", "Artur", "" ] ]
quant-ph/9703036
Guo Guangcan
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Decoherence of quantum registers
12 pages, no figures, Latex
null
null
null
quant-ph
null
We consider decoherence of quantum registers, which consist of the qubits sited approximately periodically in space. The sites of the qubits are permitted to have a small random variance. We derive the explicit conditions under which the qubits can be assumed decohering independently. In other circumstances, the qubits are decohered cooperatively. We describe two kinds of collective decoherence. In each case, a scheme is proposed for reducing the collective decoherence. The schemes operate by encoding the input states of the qubits into some ''subdecoherent'' states.
[ { "version": "v1", "created": "Thu, 20 Mar 1997 02:07:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9703037
Quesne Christiane
B. Bagchi and C. Quesne
Zero-energy states for a class of quasi-exactly solvable rational potentials
LaTeX, 13 pages, 2 figures on request, to appear in Phys. Lett. A
Phys.Lett. A230 (1997) 1-6
10.1016/S0375-9601(97)00213-2
null
quant-ph
null
Quasi-exactly solvable rational potentials with known zero-energy solutions of the Schro\" odinger equation are constructed by starting from exactly solvable potentials for which the Schr\" odinger equation admits an so(2,1) potential algebra. For some of them, the zero-energy wave function is shown to be normalizable and to describe a bound state.
[ { "version": "v1", "created": "Thu, 20 Mar 1997 07:20:04 GMT" } ]
2009-10-30T00:00:00
[ [ "Bagchi", "B.", "" ], [ "Quesne", "C.", "" ] ]
quant-ph/9703038
Tien Kieu
Michael Danos (University of Chicago) and Tien D Kieu (University of Melbourne)
Measurement in Quantum Physics
34 pages, in Latex, revised and expanded version with an extra appendix on decoherence
Int.J.Mod.Phys. E8 (1999) 257-287
10.1142/S0218301399000197
UM-P-96/87, CU-TP-789
quant-ph
null
The conceptual problems in quantum mechanics -- related to the collapse of the wave function, the particle-wave duality, the meaning of measurement -- arise from the need to ascribe particle character to the wave function. As will be shown, all these problems dissolve when working instead with quantum fields, which have both wave and particle character. Otherwise the predictions of quantum physics, including Bell's inequalities, coincide with those of the standard treatments. The transfer of the results of the quantum measurement to the classical realm is also discussed.
[ { "version": "v1", "created": "Thu, 20 Mar 1997 07:23:50 GMT" }, { "version": "v2", "created": "Wed, 24 Sep 1997 08:15:21 GMT" } ]
2009-10-30T00:00:00
[ [ "Danos", "Michael", "", "University of Chicago" ], [ "Kieu", "Tien D", "", "University of\n Melbourne" ] ]
quant-ph/9703039
M. Dakna
M. Dakna, L. Knoll, and D.-G. Welsch
Photon-added state preparation via conditional measurement on a beam splitter
9 figures(divided in subfigures) using a4.sty
null
10.1016/S0030-4018(97)00463-X
null
quant-ph
null
We show that conditional output measurement on a beam splitter may be used to produce photon-added states for a large class of signal-mode quantum states, such as thermal states, coherent states, squeezed states, displaced photon-number states, and coherent phase states. Combining a mode prepared in such a state and a mode prepared in a photon-number state, the state of the mode in one of the output channels of the beam splitter ``collapses'' to a photon-added state, provided that no photons are detected in the other output channel. We present analytical and numerical results, with special emphasis on photon-added coherent and squeezed vacuum states. In particular, we show that adding photons to a squeezed vacuum yields superpositions of quantum states which show all the typical features of Schr\"{o}dinger-cat-like states.
[ { "version": "v1", "created": "Fri, 21 Mar 1997 11:01:46 GMT" } ]
2009-10-30T00:00:00
[ [ "Dakna", "M.", "" ], [ "Knoll", "L.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/9703040
Guo Guangcan
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Preserving coherence in quantum computation by pairing quantum bits
12 pages, Latex, some correction in the reference and introduction. Jour-ref: Phys. Rev. Lett. 79, 1953, 1997
Phys.Rev.Lett.79:1953-1956,1997
10.1103/PhysRevLett.79.1953
null
quant-ph
null
A scheme is proposed for protecting quantum states from both independent decoherence and cooperative decoherence. The scheme operates by pairing each qubit (two-state quantum system) with an ancilla qubit and by encoding the states of the qubits into the corresponding coherence-preserving states of the qubit-pairs. In this scheme, the amplitude damping (loss of energy) is prevented as well as the phase damping (dephasing) by a strategy called the free-Hamiltonian-elimination We further extend the scheme to include quantum gate operations and show that loss and decoherence during the gate operations can also be prevented.
[ { "version": "v1", "created": "Sat, 22 Mar 1997 04:47:16 GMT" }, { "version": "v2", "created": "Fri, 3 Oct 1997 08:52:56 GMT" } ]
2009-01-23T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9703041
null
Scott Hill and William K. Wootters (Williams College)
Entanglement of a Pair of Quantum Bits
10 pages
Phys.Rev.Lett.78:5022-5025,1997
10.1103/PhysRevLett.78.5022
null
quant-ph
null
The ``entanglement of formation'' of a mixed state of a bipartite quantum system can be defined in terms of the number of pure singlets needed to create the state with no further transfer of quantum information. We find an exact formula for the entanglement of formation for all mixed states of two qubits having no more than two non-zero eigenvalues, and we report evidence suggesting that the formula is valid for all states of this system.
[ { "version": "v1", "created": "Sat, 22 Mar 1997 17:16:41 GMT" }, { "version": "v2", "created": "Mon, 24 Mar 1997 01:10:32 GMT" } ]
2009-01-23T00:00:00
[ [ "Hill", "Scott", "", "Williams College" ], [ "Wootters", "William K.", "", "Williams College" ] ]
quant-ph/9703042
Seth Lloyd
Seth Lloyd (MIT)
Quantum controllers for quantum systems
10 pages, TeX
null
null
null
quant-ph
null
This paper discusses fully coherent quantum feedback control, in which the sensors, controller, and actuators are quantum systems and interact coherently with the system to be controlled: as a result, the entire feedback loop is coherent. Unlike conventional semiclassical feedback control of quantum systems, feedback control by quantum controllers is not stochastic, preserves the initial state of the controlled system, and can control quantum systems in ways that are not possible using conventional, incoherent feedback control. In particular, the target state to which the quantum controller drives the system can be entangled with another quantum system. This paper investigates quantum controllers and states necessary and sufficient conditions for a Hamiltonian quantum system to be observable and controllable by a quantum controller.
[ { "version": "v1", "created": "Sun, 23 Mar 1997 20:54:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Lloyd", "Seth", "", "MIT" ] ]
quant-ph/9703043
Christopher A. Fuchs
Chistopher A. Fuchs (Caltech)
Nonorthogonal Quantum States Maximize Classical Information Capacity
5 pages, REVTeX, mild extension of results, much improved presentation, to appear in Physical Review Letters
Phys.Rev.Lett.79:1162-1165,1997
10.1103/PhysRevLett.79.1162
null
quant-ph
null
I demonstrate that, rather unexpectedly, there exist noisy quantum channels for which the optimal classical information transmission rate is achieved only by signaling alphabets consisting of nonorthogonal quantum states.
[ { "version": "v1", "created": "Mon, 24 Mar 1997 02:29:34 GMT" }, { "version": "v2", "created": "Fri, 1 Aug 1997 01:21:03 GMT" } ]
2009-01-23T00:00:00
[ [ "Fuchs", "Chistopher A.", "", "Caltech" ] ]
quant-ph/9703044
Elisha Atzmon
E. Atzmon
The Associated Metric for a Particle in a Quantum Energy Level
14 pages, latex, epsf, 3 figures. Some clarifications were added
Mod.Phys.Lett. A12 (1997) 3017-3026
10.1142/S0217732397003149
TAUP-2414-97
quant-ph gr-qc hep-th
null
We show that the probabilistic distribution over the space in the spectator world, can be associated via noncommutative geometry (with some modifications) to a metric in which the particle lives. According to this geometrical view, the metric in the particle world is ``contracted'' or ``stretched'' in an inverse proportion to the probability distribution.
[ { "version": "v1", "created": "Mon, 24 Mar 1997 08:27:54 GMT" }, { "version": "v2", "created": "Fri, 4 Jul 1997 08:00:41 GMT" } ]
2009-10-30T00:00:00
[ [ "Atzmon", "E.", "" ] ]
quant-ph/9703045
Lin Zhang
Lin Zhang and Ian Fuss (Defence Science and Technology Organisation, Australia)
Quantum Reed-Muller Codes
10 pages, LaTeX, 2 figures
null
null
DSTO/CD/QIT/9701
quant-ph
null
This paper presents a set of quantum Reed-Muller codes which are typically 100 times more effective than existing quantum Reed-Muller codes.
[ { "version": "v1", "created": "Mon, 24 Mar 1997 09:12:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhang", "Lin", "", "Defence Science and Technology Organisation,\n Australia" ], [ "Fuss", "Ian", "", "Defence Science and Technology Organisation,\n Australia" ] ]
quant-ph/9703046
Vladimir Buzek
V. Buzek, S.L. Braunstein, M. Hillery, and D. Bruss
Quantum copying: A network
10 pages LaTeX, with 1 figure, submitted to the Physical Review A
null
10.1103/PhysRevA.56.3446
null
quant-ph
null
We present a network consisting of quantum gates which produces two imperfect copies of an arbitrary qubit. The quality of the copies does not depend on the input qubit. We also show that for a restricted class of inputs it is possible to use a very similar network to produce three copies instead of two. For qubits in this class, the copy quality is again independent of the input and is the same as the quality of the copies produced by the two-copy network.
[ { "version": "v1", "created": "Mon, 24 Mar 1997 12:11:03 GMT" } ]
2009-10-30T00:00:00
[ [ "Buzek", "V.", "" ], [ "Braunstein", "S. L.", "" ], [ "Hillery", "M.", "" ], [ "Bruss", "D.", "" ] ]
quant-ph/9703047
Kotel'nikov Gennadii
G. A. Kotel'nikov (RRC "Kurchatov Institute", Moscow, Russia)
On the Nature of Charge Conjugation in Quantum Theory
6 pages, LaTeX, Report on the Conference of Nuclear Physics Division of Russian Academy of Science "Fundamental Interactions of Elementary Particles", ITEP, Moscow, October 23-27, 1995
null
null
IAE-5910/1
quant-ph
null
On the basis of the invariance of Dirac equation Lu(x,c)=0 with respect to the inversion of the speed of light Q:(x,c)=(x,-c), it is shown that the relationship [C,PTQ]u(x,c)=0 between the transformations of the charge conjugation C, the space inversion P, the time reversal T and the inversion of the speed of light Q is true. The charge conjugation in quantum theory may be interpreted as the consequence of the discrete symmetries reflecting the fundamental properties of space, time and speed of light.
[ { "version": "v1", "created": "Tue, 25 Mar 1997 15:38:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Kotel'nikov", "G. A.", "", "RRC \"Kurchatov Institute\", Moscow, Russia" ] ]
quant-ph/9703048
Eric Rains
Eric M. Rains (AT&T Research)
Nonbinary quantum codes
11 pages, AMSTeX
null
null
null
quant-ph
null
We present several results on quantum codes over general alphabets (that is, in which the fundamental units may have more than 2 states). In particular, we consider codes derived from finite symplectic geometry assumed to have additional global symmetries. From this standpoint, the analogues of Calderbank-Shor-Steane codes and of GF(4)-linear codes turn out to be special cases of the same construction. This allows us to construct families of quantum codes from certain codes over number fields; in particular, we get analogues of quadratic residue codes, including a single-error correcting code encoding one letter in five, for any alphabet size. We also consider the problem of fault-tolerant computation through such codes, generalizing ideas of Gottesman.
[ { "version": "v1", "created": "Tue, 25 Mar 1997 18:56:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Rains", "Eric M.", "", "AT&T Research" ] ]
quant-ph/9703049
Mensky Michael B.
J\"urgen Audretsch, Michael Mensky
Continuous Fuzzy Measurement of Energy for a Two-Level System
29 pages in LATEX, 1 figure in EPS, to be published in Physical Review A
Phys.Rev. A56 (1997) 44
10.1103/PhysRevA.56.44
null
quant-ph
null
A continuous measurement of energy which is sharp (perfect) leads to the quantum Zeno effect (freezing of the state). Only if the quantum measurement is fuzzy, continuous monitoring gives a readout E(t) from which information about the dynamical development of the state vector of the system may be obtained in certain cases. This is studied in detail. Fuzziness is thereby introduced with the help of restricted path integrals equivalent to non-Hermitian Hamiltonians. For an otherwise undisturbed multilevel system it is shown that this measurement represents a model of decoherence. If it lasts long enough, the measurement readout discriminates between the energy levels and the von Neumann state reduction is obtained. For a two-level system under resonance influence (which undergoes in absence of measurement Rabi oscillations between the levels) different regimes of measurement are specified depending on its duration and fuzziness: 1) the Zeno regime where the measurement results in a freezing of the transitions between the levels and 2) the Rabi regime when the transitions maintain. It is shown that in the Rabi regime at the border to the Zeno regime a correlation exists between the time dependent measurement readout and the modified Rabi oscillations of the state of the measured system. Possible realizations of continuous fuzzy measurements of energy are sketched.
[ { "version": "v1", "created": "Wed, 26 Mar 1997 19:46:37 GMT" } ]
2009-10-30T00:00:00
[ [ "Audretsch", "Jürgen", "" ], [ "Mensky", "Michael", "" ] ]
quant-ph/9703050
Nicolas Cerf
N. J. Cerf, S. E. Koonin (California Institute of Technology)
Monte Carlo Simulation of Quantum Computation
12 pages Latex, 2 Postscript figures, to appear in Proceedings of the IMACS (International Association for Mathematics and Computers in Simulation) Conference on Monte Carlo Methods, Brussels, April 97
Math. and Comp. in Simulation 47 (1998), 143-152
null
KRL MAP-212
quant-ph
null
The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields by use of the Hubbard-Stratonovich representation of two-bit quantum gates in terms of one-bit gates. This makes it possible to perform the stochastic simulation of a quantum algorithm, based on the Monte Carlo evaluation of an integral of dimension polynomial in the number of quantum bits. As an example, the simulation of the quantum circuit for the Fast Fourier Transform is discussed.
[ { "version": "v1", "created": "Wed, 26 Mar 1997 19:55:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Cerf", "N. J.", "", "California Institute of Technology" ], [ "Koonin", "S. E.", "", "California Institute of Technology" ] ]
quant-ph/9703051
Scutaru Horia
Gh.- S. Paraoanu, Horia Scutaru
Bures distance between two displaced thermal states
3 pages, RevTeX, no figures
Phys.Rev. A, 58, 869 (1998)
10.1103/PhysRevA.58.869
null
quant-ph
null
The Bures distance between two displaced thermal states and the corresponding geometric quantities (statistical metric, volume element, scalar curvature) are computed. Under nonunitary (dissipative) dynamics, the statistical distance shows the same general features previously reported in the literature by Braunstein and Milburn for two--state systems. The scalar curvature turns out to have new interesting properties when compared to the curvature associated with squeezed thermal states.
[ { "version": "v1", "created": "Thu, 27 Mar 1997 09:22:39 GMT" }, { "version": "v2", "created": "Mon, 9 Feb 1998 10:10:35 GMT" }, { "version": "v3", "created": "Wed, 11 Feb 1998 06:56:03 GMT" }, { "version": "v4", "created": "Thu, 12 Aug 1999 06:04:02 GMT" } ]
2009-10-30T00:00:00
[ [ "Paraoanu", "Gh. - S.", "" ], [ "Scutaru", "Horia", "" ] ]
quant-ph/9703052
null
Lorenza Viola, Roberto Onofrio and Tommaso Calarco
Macroscopic quantum damping in SQUID rings
7 Pages; Plain REVTeX; 3 Figures available upon request; to be published in Phys. Lett. A 229, 23 (1997)
Phys.Lett. A229 (1997) 23
10.1016/S0375-9601(97)00154-0
null
quant-ph
null
The measurement process is introduced in the dynamics of Josephson devices exhibiting quantum behaviour in a macroscopic degree of freedom. The measurement is shown to give rise to a dynamical damping mechanism whose experimental observability could be relevant to understand decoherence in macroscopic quantum systems.
[ { "version": "v1", "created": "Thu, 27 Mar 1997 11:16:30 GMT" } ]
2009-10-30T00:00:00
[ [ "Viola", "Lorenza", "" ], [ "Onofrio", "Roberto", "" ], [ "Calarco", "Tommaso", "" ] ]
quant-ph/9703053
J. Acacio de Barros
J. Acacio de Barros (UFJF), Gary Oas (Stanford University), Patrick Suppes (Stanford University)
Can single-photon states violate causality?
This paper has been withdrawn
null
null
null
quant-ph
null
This paper has been withdrawn.
[ { "version": "v1", "created": "Sat, 29 Mar 1997 22:14:40 GMT" } ]
2007-05-23T00:00:00
[ [ "de Barros", "J. Acacio", "", "UFJF" ], [ "Oas", "Gary", "", "Stanford University" ], [ "Suppes", "Patrick", "", "Stanford University" ] ]
quant-ph/9703054
Daniel S. Abrams
Daniel S. Abrams (1), Seth Lloyd (2) ((1) Department of Physics, Massachusetts Institute of Technology (2) Department of Mechanical Engineering, Massachusetts Institute of Technology)
Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
Submitted 11/7/96 to Phys. Rev. Lett. 10 pages, 0 figures
Phys.Rev.Lett. 79 (1997) 2586-2589
10.1103/PhysRevLett.79.2586
null
quant-ph
null
We provide fast algorithms for simulating many body Fermi systems on a universal quantum computer. Both first and second quantized descriptions are considered, and the relative computational complexities are determined in each case. In order to accommodate fermions using a first quantized Hamiltonian, an efficient quantum algorithm for anti-symmetrization is given. Finally, a simulation of the Hubbard model is discussed in detail.
[ { "version": "v1", "created": "Fri, 28 Mar 1997 20:03:47 GMT" } ]
2009-10-30T00:00:00
[ [ "Abrams", "Daniel S.", "" ], [ "Lloyd", "Seth", "" ] ]
quant-ph/9703055
Tri Sulistiono
Tri Sulistiono
Notes on free fall of a particle and bouncing on a reflecting surface
3 pages, no figures, uses LaTeX, typing in equation (1), (2), (6) and (21) have been corrected, some references have been added
null
null
null
quant-ph
null
Considerable progress has recently been made in controling the motion of free atomic particles by means of light pressure exerted by laser radiation. The free fall of atoms and bouncing on a reflecting surface made from evanescent wave formed by internal reflection of a quasiresonant laser beam at a curved glass surface in the presence of homogeneous gravitational field has been observed. In this paper we present the energy quantization of this system by making use the asymptotic expansion method. It is shown that for large $n$ the levels go like $n^{2/3}$ which may be compared with $n^2$ for the infinite square well.
[ { "version": "v1", "created": "Tue, 1 Apr 1997 00:38:31 GMT" }, { "version": "v2", "created": "Tue, 1 Apr 1997 14:09:44 GMT" }, { "version": "v3", "created": "Sun, 6 Apr 1997 10:43:54 GMT" }, { "version": "v4", "created": "Fri, 18 Apr 1997 10:15:13 GMT" } ]
2008-02-03T00:00:00
[ [ "Sulistiono", "Tri", "" ] ]
quant-ph/9704001
Benni Reznik
Y. Aharonov and B. Reznik
Measurability in Linear and Non-Linear Quantum Mechanical Systems
16 pages, Revtex
null
null
LAUR-97-186
quant-ph gr-qc
null
The measurability by means of continuous measurements, of an observable $\A(t_0)$, at an instant, and of a time averaged observable, $\bar \A=1/T\int \A(t')dt'$, is examined for linear and in particular for non-linear quantum mechanical systems. We argue that only when the exact (non-perturbative) solution is known, an exact measurement may be possible. A perturbative approach is shown to fail in the non-linear case for measurements with accuracy $\Delta \bar \A < \Delta \bar \A_{min}(T)$, giving rise to a restriction on the accuracy. Thus, in order to prepare an initial pure state of a non-linear system, by means of a continuous measurement, the exact non-perturbative solution must be known.
[ { "version": "v1", "created": "Tue, 1 Apr 1997 19:30:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Aharonov", "Y.", "" ], [ "Reznik", "B.", "" ] ]
quant-ph/9704002
Debbie Leung
D. W. Leung, M. A. Nielsen, I. L. Chuang, Y. Yamamoto
Approximate quantum error correction can lead to better codes
7 pages, 2 figures, submitted to Phys. Rev. A
Phys.Rev.A56:2567-2573,1997
10.1103/PhysRevA.56.2567
null
quant-ph
null
We present relaxed criteria for quantum error correction which are useful when the specific dominant noise process is known. These criteria have no classical analogue. As an example, we provide a four-bit code which corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process, and does not fit into the GF(4) classification.
[ { "version": "v1", "created": "Wed, 2 Apr 1997 06:38:07 GMT" } ]
2008-12-18T00:00:00
[ [ "Leung", "D. W.", "" ], [ "Nielsen", "M. A.", "" ], [ "Chuang", "I. L.", "" ], [ "Yamamoto", "Y.", "" ] ]
quant-ph/9704003
Cesar Miquel
Cesar Miquel, Juan Pablo Paz, Wojciech Hubert Zurek
Quantum computation with phase drift errors
5 pages, RevTex, 2 figures
null
10.1103/PhysRevLett.78.3971
null
quant-ph
null
We present results of numerical simulations of the evolution of an ion trap quantum computer made out of 18 ions which are subject to a sequence of nearly 15000 laser pulses in order to find the prime factors of N=15. We analyze the effect of random and systematic phase drift errors arising from inaccuracies in the laser pulses which induce over (under) rotation of the quantum state. Simple analytic estimates of the tolerance for the quality of driving pulses are presented. We examine the use of watchdog stabilization to partially correct phase drift errors concluding that, in the regime investigated, it is rather inefficient.
[ { "version": "v1", "created": "Wed, 2 Apr 1997 13:02:17 GMT" } ]
2009-10-30T00:00:00
[ [ "Miquel", "Cesar", "" ], [ "Paz", "Juan Pablo", "" ], [ "Zurek", "Wojciech Hubert", "" ] ]
quant-ph/9704004
Olavo Leopoldino Da Silva Filho
L.S.F. Olavo
Quantum Mechanics as a Classical Theory XVI: Positive-Definite Densities
Plain Latex, 3 figures
null
null
UnB-016
quant-ph
null
In this paper we will turn our attention to the problem of obtaining phase-space probability density functions. We will show that it is possible to obtain functions which assume only positive values over all its domain of definition.
[ { "version": "v1", "created": "Wed, 2 Apr 1997 18:50:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Olavo", "L. S. F.", "" ] ]
quant-ph/9704005
null
D. Han, Y. S. Kim, and Marilyn E. Noz
O(3,3)-like Symmetries of Coupled Harmonic Oscillators
RevTeX, 24 pages, no figures, preliminary version in J. Math. Phys. {\bf 36}, 3940 (1995)
null
null
null
quant-ph hep-th
null
In classical mechanics, the system of two coupled harmonic oscillators is shown to possess the symmetry of the Lorentz group O(3,3) applicable to a six-dimensional space consisting of three space-like and three time-like coordinates, or SL(4,r) in the four-dimensional phase space consisting of two position and two momentum variables. In quantum mechanics, the symmetry is reduced to that of O(3,2) or Sp(4), which is a subgroup of O(3,3) or SL(4,r) respectively. It is shown that among the six Sp(4)-like subgroups, only one possesses the symmetry which can be translated into the group of unitary transformations in quantum mechanics. In quantum mechanics, there is the lower bound in the size of phase space for each mode determined by the uncertainty principle while there are no restriction on the phase-space size in classical mechanics. This is the reason why the symmetry is smaller in quantum mechanics.
[ { "version": "v1", "created": "Thu, 3 Apr 1997 05:45:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Han", "D.", "" ], [ "Kim", "Y. S.", "" ], [ "Noz", "Marilyn E.", "" ] ]
quant-ph/9704006
Werner Hofer
W. A. Hofer (TU Wien)
Measurement processes in quantum physics: a new theory of measurements in terms of statistical ensembles
24 pages (ReVTeX, twocolumn) and 9 figures (eps), corrected an omission in eq.(5.4) and some typographical errors in section V-D (Quantum erasers)
null
null
MW-97-02
quant-ph
null
Considering the recently established arbitrariness the Schroedinger equation has to be interpreted as an equation of motion for a statistical ensemble of particles. The statistical qualities of individual particles derive from the unknown intrinsic energy components, they depend on the physical environment by way of external potentials. Due to these statistical qualities and wave function normalization, non-locality is inherent to the fundamental relations of Planck, de Broglie and Schroedinger. A local formulation of these statements is introduced and briefly assessed, the modified and local Schroedinger equation is non-linear. Quantum measurements are analyzed in detail, the exact interplay between causal and statistical reasons in a measurement process can be accounted for. Examples of individual measurement effects in quantum theory are given, the treatment of diffraction experiments, neutron interferences, quantum erasers, the quantum Zeno effect, and interaction-free measurements can be described consistent with the suggested framework. The paper additionally provides a strictly local and deterministic calculation of interactions in a magnetic field. The results suggest that quantum theory is a statistical formalism which derives its validity in measurements from considering every possible measurement of a given system. It can equally be established, that the framework of quantum physics is theoretically incomplete, because a justification of ensemble qualities is not provided.
[ { "version": "v1", "created": "Thu, 3 Apr 1997 09:26:39 GMT" }, { "version": "v2", "created": "Mon, 23 Jun 1997 09:27:29 GMT" } ]
2008-02-03T00:00:00
[ [ "Hofer", "W. A.", "", "TU Wien" ] ]
quant-ph/9704007
null
Hideyasu Yamashita (Nagoya University)
Hyperfinite-operational Approach to the Problem of Time Reversibility of Quantum Mechanics
16 pages, LaTeX
null
null
null
quant-ph
null
This paper outlines a mathematical framework of quantum probability in which the time asymmetry in describing measuring processes is avoided. The main objects of the framework are hyperfinite operations, which are constructed by using nonstandard analysis and the operational approach by Davies and Lewis. Then the notions of Bayesian conditional probability are defined, and Bayes-type theorems in terms of the probability are showed.
[ { "version": "v1", "created": "Thu, 3 Apr 1997 16:03:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Yamashita", "Hideyasu", "", "Nagoya University" ] ]
quant-ph/9704008
Tetsuya Shiromizu
Fumiaki Shibata, Masahiro Morikawa, Tetsuya Shiromizu and Masahide Yamaguchi
Dissipative Quantum Tunneling from Quantum Potential Approach -- Back Reaction of Particle Creation --
7 pages, 4 figures, LaTex
null
null
OCHA-PP-92
quant-ph gr-qc hep-ph
null
Back reaction of the particle creation on the quantum tunneling process is analyzed in real time formalism. We use quantum potential method in which whole quantum dynamics is exactly projected to a classical Hamilton-Jacobi equation with quantum corrections. We derive the reduction of the tunneling rate due to this particle creation effect.
[ { "version": "v1", "created": "Fri, 4 Apr 1997 06:30:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Shibata", "Fumiaki", "" ], [ "Morikawa", "Masahiro", "" ], [ "Shiromizu", "Tetsuya", "" ], [ "Yamaguchi", "Masahide", "" ] ]
quant-ph/9704009
S. Karshenboim
Savely G. Karshenboim (D. I. Mendeleev Institute for Metrology)
Comments to On the Accuracy of Lamb Shift Measurements in Hydrogen (Physica Scripta, 55 (1997) 33-40) by V. G. Pal'chikov, Yu. L. Sokolov, and V. P. Yakovlev
Phys.Scripta 57 (1998) 213
10.1088/0031-8949/57/2/009
null
quant-ph
null
The work is a comments on the article of V. G. Pal'chikov, Yu. L. Sokolov, and V. P. Yakovlev, devoted to the measurement of the Lamb shift in the hydrogen atom and published in Physica Scripta, 55 (1997) 33-40.
[ { "version": "v1", "created": "Fri, 4 Apr 1997 17:46:21 GMT" } ]
2009-10-30T00:00:00
[ [ "Karshenboim", "Savely G.", "", "D. I. Mendeleev Institute for Metrology" ] ]
quant-ph/9704010
Vicente Delgado Borges
V. Delgado and J. G. Muga (Universidad de La Laguna)
Arrival time in quantum mechanics
25 pages, LaTeX, no figures. A very minor correction to text
Phys. Rev. A 56, 3425 (1997)
10.1103/PhysRevA.56.3425
null
quant-ph
null
A self-adjoint operator with dimensions of time is explicitly constructed, and it is shown that its complete and orthonormal set of eigenstates can be used to define consistently a probability distribution of the time of arrival at a spatial point.
[ { "version": "v1", "created": "Fri, 4 Apr 1997 22:00:35 GMT" }, { "version": "v2", "created": "Tue, 8 Apr 1997 20:39:36 GMT" } ]
2008-02-03T00:00:00
[ [ "Delgado", "V.", "", "Universidad de La Laguna" ], [ "Muga", "J. G.", "", "Universidad de La Laguna" ] ]
quant-ph/9704011
null
Kazuyuki Fujii and Kunio Funahasi
Extension of the Barut-Girardello Coherent State and Path Integral
17 pages, LaTeX2e
J.Math.Phys. 38 (1997) 4422-4434
10.1063/1.532134
null
quant-ph
null
We extend the Barut-Girardello coherent state for the representation of $SU(1,1)$ to the coherent state for a representation of $U(N,1)$ and construct the measure. We also construct a path integral formula for some Hamiltonian.
[ { "version": "v1", "created": "Mon, 7 Apr 1997 07:51:37 GMT" } ]
2015-06-26T00:00:00
[ [ "Fujii", "Kazuyuki", "" ], [ "Funahasi", "Kunio", "" ] ]
quant-ph/9704012
Lov K. Grover
Lov K. Grover (Bell Labs, Murray Hill, NJ)
Quantum Telecomputation
Several minor improvements to the original paper; 11 pages, single postscript file
null
null
null
quant-ph
null
Quantum mechanics permits certain kinds of non-local effects. This paper demonstrates how these can be used for distributed computation with minimal communication between various processors. The problem considered is that of estimating the mean of N items to a certain precision. First a serial quantum mechanical algorithm for this is presented that is faster than any classical algorithm. Next it is shown how this can be efficiently parallelized with quantum mechanical processors that are remotely located. These processors consist of coupled EPR particles. Each processor has just to communicate one bit of classical information to a central location at the end of its local computation.
[ { "version": "v1", "created": "Mon, 7 Apr 1997 18:38:52 GMT" }, { "version": "v2", "created": "Mon, 21 Apr 1997 15:50:19 GMT" } ]
2008-02-03T00:00:00
[ [ "Grover", "Lov K.", "", "Bell Labs, Murray Hill, NJ" ] ]
quant-ph/9704013
Seth Lloyd
Seth Lloyd (MIT Mechanical Engineering)
A Greenberger-Horne-Zeilinger experiment for mixed states
8 pages, TeX
null
null
null
quant-ph
null
This paper shows how the Greenberger-Horne-Zeilinger experiment, which demonstrates the nonlocal nature of quantum mechanics, can be performed using nuclear magnetic resonance on spins in molecules at finite temperature. The use of nuclear magnetic resonance techniques allows the experiment to uncover the nonlocality not just of special GHZ states, but of arbitrary three particle states.
[ { "version": "v1", "created": "Mon, 7 Apr 1997 22:54:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Lloyd", "Seth", "", "MIT Mechanical Engineering" ] ]
quant-ph/9704014
Feng Pan
Feng Pan and J. P. Draayer (Department of Physics & Astronomy, Louisiana State University, Baton Rouge)
A complementary group technique for a resolution of the outer multiplicity problem of SU(n): (I) Littlewood rule and a complementary group of SU(n)
15 pages, LaTeX
J.Math.Phys. 39 (1998) 5631-5641
10.1063/1.532555
null
quant-ph
null
A complementary group to SU(n) is found that realizes all features of the Littlewood rule for Kronecker products of SU(n) representations. This is accomplished by considering a state of SU(n) to be a special Gel'fand state of the complementary group {\cal U}(2n-2). The labels of {\cal U}(2n-2) can be used as the outer multiplicity labels needed to distinguish multiple occurrences of irreducible representations (irreps) in the SU(n)\times SU(n)\downarrow SU(n) decomposition that is obtained from the Littlewood rule. Furthermore, this realization can be used to determine SU(n)\supset SU(n-1)\times U(1) Reduced Wigner Coefficients (RWCs) and Clebsch-Gordan Coefficients (CGCs) of SU(n), using algebraic or numeric methods, in either the canonical or a noncanonical basis. The method is recursive in that it uses simpler RWCs or CGCs with one symmetric irrep in conjunction with standard recoupling procedures. New explicit formulae for the multiplicity for SU(3) and SU(4) are used to illustrate the theory.
[ { "version": "v1", "created": "Tue, 8 Apr 1997 01:29:32 GMT" } ]
2016-09-08T00:00:00
[ [ "Pan", "Feng", "", "Department of Physics & Astronomy,\n Louisiana State University, Baton Rouge" ], [ "Draayer", "J. P.", "", "Department of Physics & Astronomy,\n Louisiana State University, Baton Rouge" ] ]
quant-ph/9704015
Feng Pan
Feng Pan and J. P. Draayer (Department of Physics & Astronomy, Louisiana State University, Baton Rouge)
A complementary group technique for the resolution of the outer multiplicity problem of SU(n): (II) A recoupling approach to the solution of SU(3)\supset U(2) reduced Wigner coefficients
30 pages, LaTeX
J.Math.Phys.39:5642-5662,1998
10.1063/1.532556
null
quant-ph
null
A general procedure for the derivation of SU(3)\supset U(2) reduced Wigner coefficients for the coupling (\lambda_{1}\mu_{1})\times (\lambda_{2}\mu_{2})\downarrow (\lambda\mu)^{\eta}, where \eta is the outer multiplicity label needed in the decomposition, is proposed based on a recoupling approach according to the complementary group technique given in (I). It is proved that the non-multiplicity-free reduced Wigner coefficients of SU(n) are not unique with respect to canonical outer multiplicity labels, and can be transformed from one set of outer multiplicity labels to another. The transformation matrices are elements of SO(m), where m is the number of occurrence of the corresponding irrep (\lambda\mu) in the decomposition (\lambda_{1}\mu_{1})\times (\lambda_{2}\mu_{2})\downarrow (\lambda\mu). Thus, a kind of the reduced Wigner coefficients with multiplicity is obtained after a special SO(m) transformation. New features of this kind of reduced Wigner coefficients and the differences from the reduced Wigner coefficients with other choice of the multiplicity label given previously are discussed. The method can also be applied to the derivation of general SU(n) Wigner or reduced Wigner coefficients with multiplicity. Algebraic expression of another kind of reduced Wigner coefficients, the so-called reduced auxiliary Wigner coefficients for SU(3)\supset U(2), are also obtained.
[ { "version": "v1", "created": "Tue, 8 Apr 1997 01:46:17 GMT" } ]
2014-11-18T00:00:00
[ [ "Pan", "Feng", "", "Department of Physics & Astronomy,\n Louisiana State University, Baton Rouge" ], [ "Draayer", "J. P.", "", "Department of Physics & Astronomy,\n Louisiana State University, Baton Rouge" ] ]
quant-ph/9704016
null
Lorenza Viola and Roberto Onofrio
Measured Quantum Dynamics of a Trapped Ion
5 Pages, no figures; Plain REVTeX; to be published in the 1st May issue of Phys. Rev. A, Rap. Commun. (1997)
null
10.1103/PhysRevA.55.R3291
null
quant-ph
null
The measurement process is taken into account in the dynamics of trapped ions prepared in nonclassical motional states. The induced decoherence is shown to manifest itself both in the inhibition of the internal population dynamics and in a damping of the vibrational motion without classical counterpart. Quantitative comparison with present experimental capabilities is discussed, leading to a proposal for the verification of the predicted effects.
[ { "version": "v1", "created": "Tue, 8 Apr 1997 13:40:59 GMT" } ]
2009-10-30T00:00:00
[ [ "Viola", "Lorenza", "" ], [ "Onofrio", "Roberto", "" ] ]
quant-ph/9704017
Armin Uhlmann
Armin Uhlmann
Entropy and optimal decompositions of states relative to a maximal commutative subalgebra
20 pages, latex, no figures. Some calculations and reasonings are done in more detail. I have to thank an unknown referee for asking me to do so. Misprints, if detected, are corrected. To be published in: Open Systems & Information Dynamics
null
null
NTZ 9/97 (preprint, ZHS Leipzig)
quant-ph
null
To calculate the entropy of a subalgebra or of a channel with respect to a state, one has to solve an intriguing optimalization problem. The latter is also the key part in the entanglement of formation concept, in which case the subalgebra is a subfactor. I consider some general properties, valid for these definitions in finite dimensions, and apply them to a maximal commutative subalgebra of a full matrix algebra. The main method is an interplay between convexity and symmetry. A collection of helpful tools from convex analysis for the problems in question is collected in an appendix.
[ { "version": "v1", "created": "Tue, 8 Apr 1997 14:16:55 GMT" }, { "version": "v2", "created": "Wed, 25 Mar 1998 15:40:57 GMT" } ]
2008-02-03T00:00:00
[ [ "Uhlmann", "Armin", "" ] ]
quant-ph/9704018
V. P. Karasev
Valery P. Karassiov (P.N. Lebedev Physical Institute, Moscow)
Polynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models
8 pages, LATEX
null
10.1016/S0034-4877(97)85920-4
LPI-97-03
quant-ph
null
Polynomial Lie (super)algebras $g_{pd}$ are introduced via $G_{i}$-invariant polynomial Jordan maps in quantum composite models with Hamiltonians $H$ having invariance groups $G_{i}$. Algebras $g_{pd}$ have polynomial structure functions in commutation relations, are related to pseudogroup structures $\exp V, V\in g_{pd}$ and describe dynamic symmetry of models under study. Physical applications of algebras $g_{pd}$ in quantum optics and in composite field theories are briefly discussed.
[ { "version": "v1", "created": "Wed, 9 Apr 1997 10:36:00 GMT" } ]
2009-10-30T00:00:00
[ [ "Karassiov", "Valery P.", "", "P.N. Lebedev Physical Institute, Moscow" ] ]
quant-ph/9704019
Farrokh Vatan
F. Vatan, V. P. Roychowdhury, M. P. Anantram
Spatially Correlated Qubit Errors and Burst-Correcting Quantum Codes
15 pages, no figures, LaTeX. Updated version includes one more example, also some minor errors are corrected
null
null
null
quant-ph
null
We explore the design of quantum error-correcting codes for cases where the decoherence events of qubits are correlated. In particular, we consider the case where only spatially contiguous qubits decohere, which is analogous to the case of burst errors in classical coding theory. We present several different efficient schemes for constructing families of such codes. For example, one can find one-dimensional quantum codes of length n=13 and 15 that correct burst errors of width b < 4; as a comparison, a random-error correcting quantum code that corrects t=3 errors must have length n > 18. In general, we show that it is possible to build quantum burst-correcting codes that have near optimal dimension. For example, we show that for any constant b, there exist b-burst-correcting quantum codes with length n, and dimension k=n-log n -O(b); as a comparison, the Hamming bound for the case with t (constant) random errors yields k < n - t log n - O(1) .
[ { "version": "v1", "created": "Wed, 9 Apr 1997 22:22:48 GMT" }, { "version": "v2", "created": "Fri, 16 May 1997 20:14:37 GMT" } ]
2008-02-03T00:00:00
[ [ "Vatan", "F.", "" ], [ "Roychowdhury", "V. P.", "" ], [ "Anantram", "M. P.", "" ] ]
quant-ph/9704020
Guo Guangcan
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Two non-orthogonal states can be cloned by a unitary-reduction process
9 pages, no figures, Latex
null
null
null
quant-ph
null
We show that, there are physical means for cloning two non-orthogonal pure states which are secretly chosen from a certain set $% \$={ | \Psi_0 > , | \Psi_1 > }$. The states are cloned through a unitary evolution together with a measurement. The cloning efficiency can not attain 100%. With some negative measurement results, the cloning fails.
[ { "version": "v1", "created": "Thu, 10 Apr 1997 02:35:04 GMT" } ]
2016-09-08T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9704021
Gian Carlo Ghirardi
E. Deotto and G.C. Ghirardi
Bohmian Mechanics Revisited
Latex, 34 pages, few typos corrected
Found.Phys. 28 (1998) 1-30
10.1023/A:1018752202576
null
quant-ph
null
We consider the problem of whether there are deterministic theories describing the evolution of an individual physical system in terms of the definite trajectories of its constituent particles and which stay in the same relation to Quantum Mechanics as Bohmian Mechanics but which differ from the latter for what concerns the trajectories followed by the particles. Obviously, one has to impose on the hypothetical alternative theory precise physical requirements. We analyse various such constraints and we show step by step how to meet them. This way of attacking the problem allows to recall and focus on some relevant features of Bohm's theory. One of the central requirements we impose on the models we are going to analyse has to do with their transformation properties under the transformations of the extended Galilei group. In a context like the one we are interested in one can put forward various requests that we refer to as physical and genuine covariance and invariance. Other fundamental requests are that the theory allows the description of isolated physical systems as well as that it leads to a solution (in the same sense as Bohmian Mechanics) of the measurement problem. We show that there are infinitely many inequivalent (from the point of view of the trajectories) bohmian-like theories reproducing the predictions of Quantum Mechanics.
[ { "version": "v1", "created": "Thu, 10 Apr 1997 15:55:57 GMT" }, { "version": "v2", "created": "Thu, 24 Apr 1997 11:31:31 GMT" }, { "version": "v3", "created": "Wed, 3 Sep 1997 14:14:52 GMT" }, { "version": "v4", "created": "Thu, 25 Sep 1997 09:31:36 GMT" }, { "version": "v5", "created": "Wed, 3 Apr 2002 18:42:31 GMT" } ]
2022-10-12T00:00:00
[ [ "Deotto", "E.", "" ], [ "Ghirardi", "G. C.", "" ] ]
quant-ph/9704022
Dr. Luca Salasnich, . D.
Luca Salasnich
On the Torus Quantization of Two Anyons with Coulomb Interaction in a Magnetic Field
latex, 10 pages, to be published in Modern Physics Letters B
Mod.Phys.Lett. B11 (1997) 269-273
10.1142/S0217984997000335
DFPD/97/TH/15, Universita` di Padova
quant-ph chao-dyn cond-mat hep-th nlin.CD
null
We study two anyons with Coulomb interaction in a uniform magnetic field $B$. By using the torus quantization we obtain the modified Landau and Zeeman formulas for the two anyons. Then we derive a simple algebraic equation for the full spectral problem up to the second order in $B$.
[ { "version": "v1", "created": "Thu, 10 Apr 1997 20:29:32 GMT" } ]
2009-10-30T00:00:00
[ [ "Salasnich", "Luca", "" ] ]
quant-ph/9704023
Ricardo Moritz Cavalcanti
R. M. Cavalcanti (PUC-Rio)
Comment on ``Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities''
1 page, REVTEX, submitted to Phys. Rev. Lett
Phys.Rev.Lett. 80 (1998) 4353
10.1103/PhysRevLett.80.4353
null
quant-ph
null
In [G. Garcia-Calderon, J. L. Mateos, and M. Moshinsky, Phys. Rev. Lett. 74, 337 (1995)], the time evolution of the quantum decay of a state initially located within an interaction region of finite range was investigated. In particular, it was shown that the survival and nonescape probabilities behave differently at very large times. The purpose of this Comment is to show that they have the same asymptotic behavior.
[ { "version": "v1", "created": "Fri, 11 Apr 1997 03:11:55 GMT" } ]
2009-10-30T00:00:00
[ [ "Cavalcanti", "R. M.", "", "PUC-Rio" ] ]
quant-ph/9704024
null
V.A. Skrebnev, R.N. Zaripov ( Kazan State University, Russian Fedaration, Kazan)
Demonstration of the quantum mechanics applicability limits in time reversion experiments in spin macrosystems
23 pages, 5 figures
null
null
null
quant-ph
null
An experimental study of the applicability of mechanics equations to describing the process of equilibrium establishing in an isolated spin system was performed. The time-reversion effects were used at the experiments. It was demonstrated, that the equations of mechanics do not describe the spin macrosystem transition to the equilibrium. The experimental results correspond to the theory which is based on the non-equilibrium thermodynamics methods and takes into account the quick decay of cross-correlations in the systems.
[ { "version": "v1", "created": "Mon, 14 Apr 1997 15:37:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Skrebnev", "V. A.", "", "Kazan State University, Russian\n Fedaration, Kazan" ], [ "Zaripov", "R. N.", "", "Kazan State University, Russian\n Fedaration, Kazan" ] ]
quant-ph/9704025
Diosi Lajos
Lajos Diosi
Lorentz-covariant stochastic wave function dynamics?
withdrawal
null
null
null
quant-ph
null
The e-print is completely withdrawn for it was based on a report which was not public. The author seriously apologizes because he was unaware.
[ { "version": "v1", "created": "Mon, 14 Apr 1997 15:17:01 GMT" }, { "version": "v2", "created": "Tue, 15 Apr 1997 13:05:10 GMT" }, { "version": "v3", "created": "Wed, 16 Apr 1997 16:55:42 GMT" } ]
2008-02-03T00:00:00
[ [ "Diosi", "Lajos", "" ] ]
quant-ph/9704026
null
Richard Cleve and Harry Buhrman
Substituting Quantum Entanglement for Communication
4 pages REVTeX, no figures. Minor corrections
null
10.1103/PhysRevA.56.1201
null
quant-ph
null
We show that quantum entanglement can be used as a substitute for communication when the goal is to compute a function whose input data is distributed among remote parties. Specifically, we show that, for a particular function among three parties (each of which possesses part of the function's input), a prior quantum entanglement enables one of them to learn the value of the function with only two bits of communication occurring among the parties, whereas, without quantum entanglement, three bits of communication are necessary. This result contrasts the well-known fact that quantum entanglement cannot be used to simulate communication among remote parties.
[ { "version": "v1", "created": "Mon, 14 Apr 1997 17:18:01 GMT" }, { "version": "v2", "created": "Tue, 15 Apr 1997 21:24:35 GMT" } ]
2009-10-30T00:00:00
[ [ "Cleve", "Richard", "" ], [ "Buhrman", "Harry", "" ] ]
quant-ph/9704027
Peter Hoyer
Gilles Brassard (Universite de Montreal), Peter Hoyer (Odense University)
An Exact Quantum Polynomial-Time Algorithm for Simon's Problem
12 pages, LaTeX2e, no figures. To appear in Proceedings of the Fifth Israeli Symposium on Theory of Computing and Systems (ISTCS'97)
Fifth Israeli Symposium on Theory of Computing and Systems (ISTCS'97), pp. 12-23, June 1997
10.1109/ISTCS.1997.595153
null
quant-ph
null
We investigate the power of quantum computers when they are required to return an answer that is guaranteed to be correct after a time that is upper-bounded by a polynomial in the worst case. We show that a natural generalization of Simon's problem can be solved in this way, whereas previous algorithms required quantum polynomial time in the expected sense only, without upper bounds on the worst-case running time. This is achieved by generalizing both Simon's and Grover's algorithms and combining them in a novel way. It follows that there is a decision problem that can be solved in exact quantum polynomial time, which would require expected exponential time on any classical bounded-error probabilistic computer if the data is supplied as a black box.
[ { "version": "v1", "created": "Mon, 14 Apr 1997 23:15:05 GMT" } ]
2017-01-04T00:00:00
[ [ "Brassard", "Gilles", "", "Universite de Montreal" ], [ "Hoyer", "Peter", "", "Odense\n University" ] ]
quant-ph/9704028
Masanao Ozawa
Masanao Ozawa (Nagoya University)
Quantum Nondemolition Monitoring of Universal Quantum Computers
5 pages, RevTeX, no figures, revised, to appear in Phys. Rev. Lett
Phys.Rev.Lett.80:631,1998
10.1103/PhysRevLett.80.631
null
quant-ph
null
The halt scheme for quantum Turing machines, originally proposed by Deutsch, is reformulated precisely and is proved to work without spoiling the computation. The ``conflict'' pointed out recently by Myers in the definition of a universal quantum computer is shown to be only apparent. In the context of quantum nondemolition (QND) measurement, it is also shown that the output observable, an observable representing the output of the computation, is a QND observable and that the halt scheme is equivalent to the QND monitoring of the output observable.
[ { "version": "v1", "created": "Tue, 15 Apr 1997 10:15:02 GMT" }, { "version": "v2", "created": "Tue, 18 Nov 1997 11:31:52 GMT" } ]
2009-01-23T00:00:00
[ [ "Ozawa", "Masanao", "", "Nagoya University" ] ]
quant-ph/9704029
Igor V. Volovich
L.Accardi and I.V.Volovich
Quantum white noise with singular non-linear interaction
8 pages, Latex
null
null
N.278, Roma University Tor Vergata
quant-ph hep-th
null
A model of a system driven by quantum white noise with singular quadratic self--interaction is considered and an exact solution for the evolution operator is found. It is shown that the renormalized square of the squeezed classical white noise is equivalent to the quantum Poisson process. We describe how equations driven by nonlinear functionals of white noise can be derived in nonlinear quantum optics by using the stochastic approximation.
[ { "version": "v1", "created": "Wed, 16 Apr 1997 09:08:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Accardi", "L.", "" ], [ "Volovich", "I. V.", "" ] ]
quant-ph/9704030
Holger Hofmann
Holger F. Hofmann and Guenter Mahler
Measurement models for time-resolved spectroscopy: a comment
14 pages RevTex, 4 figures
Quant.Semiclass.Opt. 7 (1995) 489-497
10.1088/1355-5111/7/4/006
null
quant-ph physics.atom-ph physics.optics
null
We present an exactly solvable model for photon emission, which allows us to examine the evolution of the photon wavefunction in space and time. We apply this model to coherent phenomena in three-level systems with a special emphasis on the photon detection process.
[ { "version": "v1", "created": "Wed, 16 Apr 1997 12:26:19 GMT" } ]
2009-10-30T00:00:00
[ [ "Hofmann", "Holger F.", "" ], [ "Mahler", "Guenter", "" ] ]
quant-ph/9704031
David Craig
David Craig (University of Alberta)
The Geometry of Consistency: Decohering Histories in Generalized Quantum Theory
68 pages, RevTeX, 3 figures. PSNUP -2 strongly recommended
null
null
ALBERTA-THY-04-97, UCSB-TH-95-10
quant-ph gr-qc
null
The geometry of decoherence in generalized "consistent histories" quantum theory is explored, revealing properties of the theory that are independent of any particular application of it. It is shown how the decoherence functional of a closed quantum system may be regarded as an Hermitian form on the space of linear operators on the Hilbert space of the system. This identification makes manifest a number of structural properties of decoherence functionals. For example, a bound on the maximum number of histories in a consistent set is determined. When the decoherence functional is positive -- as in conventional quantum mechanics -- it defines a semi-inner product on the space of history operators. This shows that consistent sets of histories are just orthogonal sets in this inner product. It further implies the existence in general of Cauchy-Schwarz and triangle inequalities for positive decoherence functionals. The geometrical significance of the ILS theorem classifying all possible decoherence functionals is illuminated, and a version of the ILS theorem for decoherence functionals on class operators is given. The class of history operators consistent according to a given decoherence functional is found, and, conversely, it is shown how to construct the decoherence functionals according to which a given set of histories is consistent. More generally, the "geometric" point of view here developed supplies a powerful unified language with which to solve problems in generalized quantum theory.
[ { "version": "v1", "created": "Thu, 17 Apr 1997 01:01:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Craig", "David", "", "University of Alberta" ] ]
quant-ph/9704032
Lars M. Johansen
Lars M. Johansen
Equivalence between Bell's inequality and a constraint on stochastic field theories for EPR states
10 pages, 5 figures, accepted to Phys. Rev. A
Phys.Rev.A56:100-107,1997
10.1103/PhysRevA.56.100
null
quant-ph
null
A generalized form of EPR state is defined, embracing both classical and nonclassical states. It is shown that for such states, Bell's inequality is equivalent to a constraint on stochastic field theories. Thus, violation of Bell's inequality can be observed also for weak violation of stochastic field theories. The Schrodinger cat state is shown to be an example of this.
[ { "version": "v1", "created": "Thu, 17 Apr 1997 10:37:10 GMT" } ]
2011-08-17T00:00:00
[ [ "Johansen", "Lars M.", "" ] ]
quant-ph/9704033
Giacomo Mauro D'Ariano
Giacomo Mauro D'Ariano and Massimiliano Sacchi (Dipartimento di Fisica 'Alessandro Volta', Pavia, Italy)
Equivalence between squeezed-state and twin-beam communication channels
15 pages. Two latex figures included. To appear on Modern Phys. Lett. B
Modern Phys. Lett. B11, 1263 (1997).
10.1142/S0217984997001511
null
quant-ph
null
We show the equivalence between two different communication schemes that employ a couple of modes of the electromagnetic field. One scheme uses unconventional heterodyne detection, with correlated signal and image-band modes in a twin-beam state from parametric downconversion. The other scheme is realized through a complex-number coding over quadrature-squeezed states of two uncorrelated modes, each detected by ordinary homodyning. This equivalence concerns all the stages of the communication channel: the encoded state, the optimal amplifier for the channel, the master equation modeling the loss, and the output measurement scheme. The unitary transformation that connects the two communication schemes is realized by a frequency conversion device.
[ { "version": "v1", "created": "Thu, 17 Apr 1997 17:14:30 GMT" }, { "version": "v2", "created": "Thu, 8 Jan 1998 18:19:33 GMT" } ]
2009-10-30T00:00:00
[ [ "D'Ariano", "Giacomo Mauro", "", "Dipartimento di Fisica\n 'Alessandro Volta', Pavia, Italy" ], [ "Sacchi", "Massimiliano", "", "Dipartimento di Fisica\n 'Alessandro Volta', Pavia, Italy" ] ]
quant-ph/9704034
Giacomo Mauro D'Ariano
Giacomo M. D'Ariano and Matteo G. A. Paris (Dipartimento di Fisica 'Alessandro Volta', Pavia, Italy)
Added noise in homodyne measurement of field-observables
Two figures. Submitted to Phys. Lett. A
Phys.Lett. A233 (1997) 49
10.1016/S0375-9601(97)00424-6
null
quant-ph
null
Homodyne tomography provides a way for measuring generic field-operators. Here we analyze the determination of the most relevant quantities: intensity, field, amplitude and phase. We show that tomographic measurements are affected by additional noise in comparison with the direct detection of each observable by itself. The case of of coherent states has been analyzed in details and earlier estimations of tomographic precision are critically discussed.
[ { "version": "v1", "created": "Thu, 17 Apr 1997 17:14:29 GMT" } ]
2009-10-30T00:00:00
[ [ "D'Ariano", "Giacomo M.", "", "Dipartimento di Fisica\n 'Alessandro Volta', Pavia, Italy" ], [ "Paris", "Matteo G. A.", "", "Dipartimento di Fisica\n 'Alessandro Volta', Pavia, Italy" ] ]
quant-ph/9704035
Larry Ford
L.H. Ford
Electromagnetic Vacuum Fluctuations and Electron Coherence II: Effects of Wavepacket Size
16 pages, Latex, 3 figures, uses epsf
Phys.Rev. A56 (1997) 1812-1818
10.1103/PhysRevA.56.1812
TUTP-97-5
quant-ph hep-th
null
If one analyzes the effects of electromagnetic vacuum fluctuations upon an electron interference pattern in an approximation in which the electrons follow classical trajectories, an ultraviolet divergence results. It is shown that this divergence is an artifact of the classical trajectory approximation, and is absent when the finite sizes of electron wavepackets are accounted for. It is shown that the vacuum fluctuation effect has a logarithmic dependence upon the wavepacket size. However, at least in one model geometry, this dependence cancels when one includes both vacuum fluctuation and photon emission effects.
[ { "version": "v1", "created": "Thu, 17 Apr 1997 17:05:23 GMT" } ]
2009-10-30T00:00:00
[ [ "Ford", "L. H.", "" ] ]
quant-ph/9704036
Tony Wong
R. Graham, T. Wong, M. J. Collett, S. M. Tan, and D. F. Walls
Phase preparation by atom counting of Bose-Einstein condensates in mixed states
9 pages, 6 PostScript figure, submitted to PRA
null
10.1103/PhysRevA.57.493
null
quant-ph
null
We study the build up of quantum coherence between two Bose-Einstein condensates which are initially in mixed states. We consider in detail the two cases where each condensate is initially in a thermal or a Poisson distribution of atom number. Although initially there is no relative phase between the condensates, a sequence of spatial atom detections produces an interference pattern with arbitrary but fixed relative phase. The visibility of this interference pattern is close to one for the Poisson distribution of two condensates with equal counting rates but it becomes a stochastic variable in the thermal case, where the visibility will vary from run to run around an average visibility of $\pi /4.$ In both cases, the variance of the phase distribution is inversely proportional to the number of atom detections in the regime where this number is large compared to one but small compared with the total number of atoms in the condensates.
[ { "version": "v1", "created": "Fri, 18 Apr 1997 00:02:13 GMT" } ]
2009-10-30T00:00:00
[ [ "Graham", "R.", "" ], [ "Wong", "T.", "" ], [ "Collett", "M. J.", "" ], [ "Tan", "S. M.", "" ], [ "Walls", "D. F.", "" ] ]
quant-ph/9704037
M. Dakna
T. Opatrny, M. Dakna, and D.-G. Welsch
Number phase uncertainty relations: verification by homodyning
1 Ps figure (divided in 3 subfigures) using REVTEX
null
10.1103/PhysRevA.57.2129
null
quant-ph
null
It is shown that fundamental uncertainty relations between photon number and canonical phase of a single-mode optical field can be verified by means of balanced homodyne measurement. All the relevant quantities can be sampled directly from the measured phase-dependent quadrature distribution.
[ { "version": "v1", "created": "Fri, 18 Apr 1997 08:59:37 GMT" } ]
2009-10-30T00:00:00
[ [ "Opatrny", "T.", "" ], [ "Dakna", "M.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/9704038
Antoine Suarez
Antoine Suarez (Center for Quantum Philosophy, Zurich) and Valerio Scarani (EPFL, Swiss Federal Institute of Technology, Lausanne)
Does entanglement depend on the timing of the impacts at the beam-splitters?
5 pages of Latex and 2 eps figures. Submitted to Phys. Lett. A
Phys.Lett. A232 (1997) 9-14
10.1016/S0375-9601(97)00346-0
CQP-960924
quant-ph
null
A new nonlocality experiment with moving beam-splitters is proposed. The experiment is analysed according to conventional quantum mechanics, and to an alternative nonlocal description in which superposition depends not only on indistinguishability but also on the timing of the impacts at the beam-splitters.
[ { "version": "v1", "created": "Sat, 19 Apr 1997 12:05:35 GMT" } ]
2009-10-30T00:00:00
[ [ "Suarez", "Antoine", "", "Center for Quantum Philosophy, Zurich" ], [ "Scarani", "Valerio", "", "EPFL, Swiss Federal Institute of Technology, Lausanne" ] ]
quant-ph/9704039
Lech Jakobczyk
R. Gielerak, L. Jakobczyk, R.Olkiewicz
Stochastically positive structures on Weyl algebras. The case of quasi-free states
46 pages, amstex
J.Math.Phys. 39 (1998) 6291-6328
10.1063/1.532639
null
quant-ph
null
We consider quasi-free stochastically positive ground and thermal states on Weyl algebras in Euclidean time formulation. In particular, we obtain a new derivation of a general form of thermal quasi-free state and give conditions when such state is stochastically positive i.e. when it defines periodic stochastic process with respect to Euclidean time, so called thermal process. Then we show that thermal process completely determines modular structure canonically associated with quasi-free state on Weyl algebra. We discuss a variety of examples connected with free field theories on globally hyperbolic stationary space-times and models of quantum statistical mechanics.
[ { "version": "v1", "created": "Wed, 23 Apr 1997 13:00:29 GMT" } ]
2015-06-26T00:00:00
[ [ "Gielerak", "R.", "" ], [ "Jakobczyk", "L.", "" ], [ "Olkiewicz", "R.", "" ] ]
quant-ph/9704040
Hayashi Masahito
Masahito Hayashi (Kyoto University)
Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint
LaTeX2e. 8 pages. The title was changed from "Asymptotic Attainment for Quantum Relative Entropy"
J.Phys.A34:3413-3419,2001
10.1088/0305-4470/34/16/309
null
quant-ph
null
In this paper it was proved that the quantum relative entropy $D(\sigma \| \rho)$ can be asymptotically attained by Kullback Leibler divergences of probabilities given by a certain sequence of POVMs. The sequence of POVMs depends on $\rho$, but is independent of the choice of $\sigma$.
[ { "version": "v1", "created": "Thu, 24 Apr 1997 08:29:36 GMT" }, { "version": "v2", "created": "Thu, 5 Jun 1997 07:57:42 GMT" }, { "version": "v3", "created": "Mon, 18 Aug 1997 06:16:57 GMT" }, { "version": "v4", "created": "Thu, 11 Sep 1997 08:21:50 GMT" }, { "version": "v5", "created": "Wed, 7 Apr 1999 02:42:46 GMT" }, { "version": "v6", "created": "Wed, 22 Dec 1999 07:00:56 GMT" } ]
2008-11-26T00:00:00
[ [ "Hayashi", "Masahito", "", "Kyoto University" ] ]
quant-ph/9704041
Hayashi Masahito
Masahito Hayashi
Asymptotic estimation theory for a finite dimensional pure state model
LaTeX, 23 pages, Doctoral Thesis
J.Phys.A31:4633-4655,1998
10.1088/0305-4470/31/20/006
null
quant-ph
null
The optimization of measurement for n samples of pure sates are studied. The error of the optimal measurement for n samples is asymptotically compared with the one of the maximum likelihood estimators from n data given by the optimal measurement for one sample.
[ { "version": "v1", "created": "Thu, 24 Apr 1997 10:01:13 GMT" }, { "version": "v2", "created": "Thu, 11 Sep 1997 09:19:42 GMT" }, { "version": "v3", "created": "Wed, 7 Apr 1999 03:03:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Hayashi", "Masahito", "" ] ]
quant-ph/9704042
Eric Rains
Eric M. Rains
Polynomial invariants of quantum codes
10 pages, AMSTeX
null
null
null
quant-ph
null
The weight enumerators (quant-ph/9610040) of a quantum code are quite powerful tools for exploring its structure. As the weight enumerators are quadratic invariants of the code, this suggests the consideration of higher-degree polynomial invariants. We show that the space of degree k invariants of a code of length n is spanned by a set of basic invariants in one-to-one correspondence with S_k^n. We then present a number of equations and inequalities in these invariants; in particular, we give a higher-order generalization of the shadow enumerator of a code, and prove that its coefficients are nonnegative. We also prove that the quartic invariants of a ((4,4,2)) are uniquely determined, an important step in a proof that any ((4,4,2)) is additive ([2]).
[ { "version": "v1", "created": "Thu, 24 Apr 1997 21:16:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Rains", "Eric M.", "" ] ]
quant-ph/9704043
Eric Rains
Eric M. Rains
Quantum codes of minimum distance two
13 pages, AMSTeX
null
null
null
quant-ph
null
It is reasonable to expect the theory of quantum codes to be simplified in the case of codes of minimum distance 2; thus, it makes sense to examine such codes in the hopes that techniques that prove effective there will generalize. With this in mind, we present a number of results on codes of minimum distance 2. We first compute the linear programming bound on the dimension of such a code, then show that this bound can only be attained when the code either is of even length, or is of length 3 or 5. We next consider questions of uniqueness, showing that the optimal code of length 2 or 4 is unique (implying that the well-known one-qubit-in-five single-error correcting code is unique), and presenting nonadditive optimal codes of all greater even lengths. Finally, we compute the full automorphism group of the more important distance 2 codes, allowing us to determine the full automorphism group of any GF(4)-linear code.
[ { "version": "v1", "created": "Thu, 24 Apr 1997 20:57:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Rains", "Eric M.", "" ] ]
quant-ph/9704044
Hayashi Masahito
Masahito Hayashi
A Linear Programming Approach to Attainable Cramer-Rao type Bounds and Randomness Condition
LaTeX, 27 pages, submitted to Journal Mathematical Physics
null
null
null
quant-ph
null
The author studies the Cramer-Rao type bound by a linear programming approach. By this approach, he found a necessary and sufficient condition that the Cramer-Rao type bound is attained by a random measurement. In a spin 1/2 system, this condition is satisfied.
[ { "version": "v1", "created": "Sun, 27 Apr 1997 11:53:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Hayashi", "Masahito", "" ] ]
quant-ph/9704045
Caroline Thompson
Caroline H. Thompson (Department of Computer Science, University of Wales Aberystwyth)
Timing and Other Artifacts in EPR Experiments
5 pages, LaTeX, 3 Encapsulated PostScript figures. Submitted 24:4:97 to Physical Review Letters. See also quant-ph/9611037 and other documents at http://www.aber.ac.uk/~cat
null
null
null
quant-ph
null
Re-evaluation of the evidence (some of it unpublished) shows that experimenters conducting Einstein-Podolsky-Bohm (EPR) experiments may have been deceived by various pre-conceptions and artifacts. False or unproven assumptions were made regarding, in some cases, fair sampling, in others timing, accidental coincidences and enhancement. Realist possibilities, assuming a purely wave model of light, are presented heuristically, and suggestions given for fruitful lines of research. Quantum Mechanics can be proved false, but Bell tests have turned out to be unsuitable for the task.
[ { "version": "v1", "created": "Tue, 29 Apr 1997 13:05:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Thompson", "Caroline H.", "", "Department of Computer Science, University of\n Wales Aberystwyth" ] ]
quant-ph/9704046
Werner Fischer
Werner Fischer, Thomas Hupfer, Hajo Leschke and Peter Mueller
Rigorous results on Schroedinger operators with certain Gaussian random potentials in multi-dimensional continuous space
9 pages
Updated version of a contribution to the conference proceedings "Differential equations, asymptotic analysis, and mathematical physics," Eds.: M. Demuth and B.-W. Schulze, Akademie Verlag, Berlin (1997) pp. 105-112
null
null
quant-ph
null
Schroedinger operators with certain Gaussian random potentials in multi-dimensional Euclidean space possess almost surely an absolutely continuous integrated density of states and no absolutely continuous spectrum at sufficiently low energies.
[ { "version": "v1", "created": "Wed, 30 Apr 1997 15:23:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Fischer", "Werner", "" ], [ "Hupfer", "Thomas", "" ], [ "Leschke", "Hajo", "" ], [ "Mueller", "Peter", "" ] ]
quant-ph/9705001
D. Trifonov
D.A. Trifonov (Institute for Nuclear Research, Sofia)
On the squeezed states for n observables
25 pages, LaTex, 4 .pic and .ps figures. Improvements in text, discussion on generation scheme added. To appear in Phys. Scripta
Phys.Scripta 58 (1998) 246-255
10.1088/0031-8949/58/3/009
INRNE-TH-97/2
quant-ph
null
Three basic properties (eigenstate, orbit and intelligence) of the canonical squeezed states (SS) are extended to the case of arbitrary n observables. The SS for n observables X_i can be constructed as eigenstates of their linear complex combinations or as states which minimize the Robertson uncertainty relation. When X_i close a Lie algebra L the generalized SS could also be introduced as orbit of Aut(L^C). It is shown that for the nilpotent algebra h_N the three generalizations are equivalent. For the simple su(1,1) the family of eigenstates of uK_- + vK_+ (K_\pm being lowering and raising operators) is a family of ideal K_1-K_2 SS, but it cannot be represented as an Aut(su^C(1,1)) orbit although the SU(1,1) group related coherent states (CS) with symmetry are contained in it. Eigenstates |z,u,v,w;k> of general combination uK_- + vK_+ + wK_3 of the three generators K_j of SU(1,1) in the representations with Bargman index k = 1/2,1, ..., and k = 1/4,3/4 are constructed and discussed in greater detail. These are ideal SS for K_{1,2,3}. In the case of the one mode realization of su(1,1) the nonclassical properties (sub-Poissonian statistics, quadrature squeezing) of the generalized even CS |z,u,v;+> are demonstrated. The states |z,u,v,w;k=1/4,3/4> can exhibit strong both linear and quadratic squeezing.
[ { "version": "v1", "created": "Thu, 1 May 1997 16:08:31 GMT" }, { "version": "v2", "created": "Fri, 28 Nov 1997 09:27:45 GMT" }, { "version": "v3", "created": "Fri, 5 Jun 1998 15:18:27 GMT" } ]
2009-10-30T00:00:00
[ [ "Trifonov", "D. A.", "", "Institute for Nuclear Research, Sofia" ] ]
quant-ph/9705002
Alain Tapp
Gilles Brassard (1), Peter Hoyer (2), Alain Tapp (1) ((1) Universite de Montreal, (2) Odense University)
Quantum Algorithm for the Collision Problem
8 pages, LaTeX2e
Third Latin American Symp. on Theoretical Informatics (LATIN'98), pp. 163-169, 1998. LNCS 1380
10.1007/BFb0054319
null
quant-ph
null
In this note, we give a quantum algorithm that finds collisions in arbitrary r-to-one functions after only O((N/r)^(1/3)) expected evaluations of the function. Assuming the function is given by a black box, this is more efficient than the best possible classical algorithm, even allowing probabilism. We also give a similar algorithm for finding claws in pairs of functions. Furthermore, we exhibit a space-time tradeoff for our technique. Our approach uses Grover's quantum searching algorithm in a novel way.
[ { "version": "v1", "created": "Thu, 1 May 1997 21:59:56 GMT" } ]
2017-01-10T00:00:00
[ [ "Brassard", "Gilles", "" ], [ "Hoyer", "Peter", "" ], [ "Tapp", "Alain", "" ] ]
quant-ph/9705003
Michal Horodecki
Michal Horodecki and Ryszard Horodecki
Are there basic laws of quantum information processing?
RevTeX, 16 pages, the proof of the theorem has been written mathematically; the possible interpretation of the result (basing on the analogy with thermodynamics) has been added; the previous discussion has been removed
Phys.Lett. A244 (1998) 473-481
10.1016/S0375-9601(98)00408-3
null
quant-ph
null
We prove within the standard quantum formalism without reduction postulate that the no-cloning theorem and the principle of no-increasing of entanglement under local actions and one-way classical communication are equivalent. We argue that the result is a manifestation of more general principles governing quantum information processing analogous to the thermodynamical laws.
[ { "version": "v1", "created": "Tue, 6 May 1997 08:22:46 GMT" }, { "version": "v2", "created": "Mon, 7 Jul 1997 14:00:42 GMT" } ]
2009-10-30T00:00:00
[ [ "Horodecki", "Michal", "" ], [ "Horodecki", "Ryszard", "" ] ]
quant-ph/9705004
Vladimir Manko
O. V. Man'ko and N. V. Tcherniega
Photon Distribution Function for Stocks Wave for Stimulatted Raman Scattering
LATEX, 17 pages, accepted for publication in Journal of Russian Laser Research (Plenum Press, New York), Volume 18, Number 4, 1997
null
null
null
quant-ph
null
New time-dependent integrals of motion are found for stimulated Raman scattering. Explicit formula for the photon-number probability distribution as a function of the laser-field intensity and the medium parameters is obtained in terms of Hermite polynomials of two variables.
[ { "version": "v1", "created": "Tue, 6 May 1997 17:18:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Man'ko", "O. V.", "" ], [ "Tcherniega", "N. V.", "" ] ]
quant-ph/9705005
Jonathan Halliwell
J. J. Halliwell (Imperial College, London)
Effective Theories of Coupled Classical and Quantum Variables from Decoherent Histories: A New Approach to the Backreaction Problem
27 pages, plain Tex
Phys. Rev. D 57, 2337 (1998)
10.1103/PhysRevD.57.2337
Imperial College preprint 96-97/45 (with revised settings for \vsize and \voffset to accommodate US paper size)
quant-ph gr-qc
null
We use the decoherent histories approach to quantum theory to derive the form of an effective theory describing the coupling of classical and quantum variables. The derivation is carried out for a system consisting of a large particle coupled to a small particle with the important additional feature that the large particle is also coupled to a thermal environment producing the decoherence necessary for classicality. The effective theory is obtained by tracing out both the environment and the small particle variables. It consists of a formula for the probabilities of a set of histories of the large particle, and depends on the dynamics and initial quantum state of the small particle. It has the form of an almost classical particle coupled to a stochastic variable whose probabilities are determined by a formula very similar to that given by quantum measurement theory for continuous measurements of the small particle's position. The effective theory gives intuitively sensible answers when the small particle is in a superposition of localized states.
[ { "version": "v1", "created": "Tue, 6 May 1997 19:03:02 GMT" }, { "version": "v2", "created": "Thu, 8 May 1997 15:26:04 GMT" } ]
2016-08-25T00:00:00
[ [ "Halliwell", "J. J.", "", "Imperial College, London" ] ]
quant-ph/9705006
Anders Karlsson
Anders Karlsson, Gunnar Bjork and Erik Forsberg (Laboratory of Photonics and Microwave Engineering, Department of Electronics, Royal Institute of Technology (KTH), Kista, Sweden)
Interaction-Free Measurements, Atom Localisation and Complementarity
4 pages REVTEX, one eps file with 4 figures
null
null
null
quant-ph
null
We analyse interaction-free measurements on classical and quantum objects. We show the transition from a classical interaction free measurement to a quantum non-demolition measurement of atom number, and discuss the mechanism of the enforcement of complementarity in atom interferometric interaction-free measurements.
[ { "version": "v1", "created": "Wed, 7 May 1997 10:29:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Karlsson", "Anders", "", "Laboratory of\n Photonics and Microwave Engineering, Department of Electronics, Royal\n Institute of Technology" ], [ "Bjork", "Gunnar", "", "Laboratory of\n Photonics and Microwave Engineering, Department of Electronics, Royal\n Institute of Technology" ], [ "Forsberg", "Erik", "", "Laboratory of\n Photonics and Microwave Engineering, Department of Electronics, Royal\n Institute of Technology" ] ]
quant-ph/9705007
Park daegil
D.K.Park, Sahng-Kyoon Yoo, Soo-Young Lee, Jae-Rok Kahng, Chang Soo Park, Eui-Soon Yim, and C.H.Lee
Propagator for an Aharonov-Bohm-Coulomb system
10 pages, some statements are corrected
J.KoreanPhys.Soc.33:745-749,1998
null
null
quant-ph
null
The propagator of three-dimensional Aharonov-Bohm-Coulomb system is calculated by following the Duru-Kleinert method. It is shown that the system is reduced to two independent two dimensional Aharonov-Bohm plus harmonic oscillator systems through dimensional extension and Kustaanheimo-Stiefel transformation. The energy spectrum is deduced.
[ { "version": "v1", "created": "Wed, 7 May 1997 10:15:35 GMT" }, { "version": "v2", "created": "Wed, 2 Jul 1997 04:37:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Park", "D. K.", "" ], [ "Yoo", "Sahng-Kyoon", "" ], [ "Lee", "Soo-Young", "" ], [ "Kahng", "Jae-Rok", "" ], [ "Park", "Chang Soo", "" ], [ "Yim", "Eui-Soon", "" ], [ "Lee", "C. H.", "" ] ]
quant-ph/9705008
Jonathan Halliwell
L. Diosi and J. J. Halliwell
Coupling Classical and Quantum Variables using Continuous Quantum Measurement Theory
11 pages, plain Tex (with revised settings for \vsize and \voffset to accommodate US paper sizes)
Phys.Rev.Lett. 81 (1998) 2846-2849
10.1103/PhysRevLett.81.2846
Imperial College preprint 96-97/46
quant-ph gr-qc
null
We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously and imprecisely measured by the classical system. The effective equations of motion for the classical system therefore consist of treating the quantum variable $x$ as a stochastic c-number $\x (t) $ the probability distibution for which is given by the theory of continuous quantum measurements. The resulting theory is similar to the usual mean field equations (in which $x$ is replaced by its quantum expectation value) but with two differences: a noise term, and more importantly, the state of the quantum subsystem evolves according to the stochastic non-linear Schrodinger equation of a continuously measured system. In the case in which the quantum system starts out in a superposition of well-separated localized states, the classical system goes into a statistical mixture of trajectories, one trajectory for each individual localized state.
[ { "version": "v1", "created": "Wed, 7 May 1997 13:08:57 GMT" }, { "version": "v2", "created": "Thu, 8 May 1997 15:22:17 GMT" } ]
2009-10-30T00:00:00
[ [ "Diosi", "L.", "" ], [ "Halliwell", "J. J.", "" ] ]
quant-ph/9705009
David DiVincenzo
David P. DiVincenzo
Quantum Gates and Circuits
Latex, 18 pages, 12 figures. For the Proceedings of the ITP Conference on Quantum Coherence and Decoherence, December, 1996, Proc. R. Soc. London A
null
10.1098/rspa.1998.0159
null
quant-ph
null
A historical review is given of the emergence of the idea of the quantum logic gate from the theory of reversible Boolean gates. I highlight the quantum XOR or controlled NOT as the fundamental two-bit gate for quantum computation. This gate plays a central role in networks for quantum error correction.
[ { "version": "v1", "created": "Wed, 7 May 1997 15:51:34 GMT" } ]
2009-10-30T00:00:00
[ [ "DiVincenzo", "David P.", "" ] ]
quant-ph/9705010
Arno Bohm
A. Bohm, M. Loewe, P. Patuleanu and C. Puntmann (Department of Physics, University of Texas at Austin)
Jordan Blocks and Exponentially Decaying Higher Order Gamow States
Dedicated to L. P. Horwitz on the occasion of his 65th birthday; 11 pages, no figures, uses subeqnarray.sty; to appear in Found. of Phys. May 97
null
10.1007/BF02550171
UTEXAS-HEP-96-26 Bohm-141
quant-ph
null
In the framework of the rigged Hilbert space, unstable quantum systems associated with first order poles of the analytically continued S-matrix can be described by Gamow vectors which are generalized vectors with exponential decay and a Breit-Wigner energy distribution. This mathematical formalism can be generalized to quasistationary systems associated with higher order poles of the S-matrix, which leads to a set of Gamow vectors of higher order with a non-exponential time evolution. One can define a state operator from the set of higher order Gamow vectors which obeys the exponential decay law. We shall discuss to what extend the requirement of an exponential time evolution determines the form of the state operator for a quasistationary microphysical system associated with a higher order pole of the S-matrix.
[ { "version": "v1", "created": "Wed, 7 May 1997 20:32:40 GMT" } ]
2009-10-30T00:00:00
[ [ "Bohm", "A.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Loewe", "M.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Patuleanu", "P.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Puntmann", "C.", "", "Department of\n Physics, University of Texas at Austin" ] ]
quant-ph/9705011
Arno Bohm
A. Bohm, M. Loewe, S. Maxson, P. Patuleanu, C. Puntmann (Department of Physics, University of Texas at Austin), and M. Gadella (Faculdad de Ciensias, Universidad de Valladolid)
Gamow-Jordan Vectors and Non-Reducible Density Operators from Higher Order S-Matrix Poles
39 pages, 3 PostScript figures; sub2.eps may stall some printers and should then be printed out separately; ghostview is o.k
J.Math.Phys. 38 (1997) 6072-6100
10.1063/1.532203
UTEXAS-HEP-96-24 Bohm-139
quant-ph
null
In analogy to Gamow vectors that are obtained from first order resonance poles of the S-matrix, one can also define higher order Gamow vectors which are derived from higher order poles of the S-matrix. An S-matrix pole of r-th order at z_R=E_R-i\Gamma/2 leads to r generalized eigenvectors of order k= 0, 1, ... , r-1, which are also Jordan vectors of degree (k+1) with generalized eigenvalue (E_R-i\Gamma/2). The Gamow-Jordan vectors are elements of a generalized complex eigenvector expansion, whose form suggests the definition of a state operator (density matrix) for the microphysical decaying state of this higher order pole. This microphysical state is a mixture of non-reducible components. In spite of the fact that the k-th order Gamow-Jordan vectors has the polynomial time-dependence which one always associates with higher order poles, the microphysical state obeys a purely exponential decay law.
[ { "version": "v1", "created": "Wed, 7 May 1997 22:10:43 GMT" } ]
2009-10-30T00:00:00
[ [ "Bohm", "A.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Loewe", "M.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Maxson", "S.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Patuleanu", "P.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Puntmann", "C.", "", "Department of\n Physics, University of Texas at Austin" ], [ "Gadella", "M.", "", "Faculdad de\n Ciensias, Universidad de Valladolid" ] ]
quant-ph/9705012
Christoph Puntmann
C. Puntmann and P. Patuleanu (Dept. of Physics, Univ. of Texas, Austin)
Resonances from Higher Order S-Matrix Poles with Exponential Decay
4 pages, no figures, uses group21.sty (included); to appear in GROUP21 proceedings vol. 1, H.-D. Doebner et al., eds., World Scientific, Singapore
null
null
UTEXAS-HEP-97-8
quant-ph
null
In analogy to Gamow vectors describing resonance states from first order S-matrix poles, one can define Gamow vectors from higher order poles of the S-matrix. With these vectors we are going to discuss a density operator that describes exponentially decaying resonances from higher order poles.
[ { "version": "v1", "created": "Thu, 8 May 1997 00:16:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Puntmann", "C.", "", "Dept. of Physics, Univ. of Texas,\n Austin" ], [ "Patuleanu", "P.", "", "Dept. of Physics, Univ. of Texas,\n Austin" ] ]
quant-ph/9705013
Christoph Puntmann
Christoph Puntmann
Higher Order Gamow States with Exponential Decay
19 pages, no figures; proceedings of Peyresq/France, Summer 96
Int.J.Theor.Phys. 36 (1997) 2295-2314
10.1007/BF02768926
UTEXAS-HEP-97-9
quant-ph
null
We derive Gamow vectors from S-matrix poles of higher multiplicity in analogy to the Gamow vectors describing resonances from first-order poles. With these vectors we construct a density operator that describes resonances associated with higher order poles that obey an exponential decay law. It turns out that this operator formed by these higher order Gamow vectors has a unique structure.
[ { "version": "v1", "created": "Thu, 8 May 1997 01:12:45 GMT" } ]
2015-06-26T00:00:00
[ [ "Puntmann", "Christoph", "" ] ]
quant-ph/9705014
Cassius D'Helon
C. D'Helon and G.J.Milburn
Quantum measurements with a quantum computer
9 pages, 3 figures; RevTex
null
null
null
quant-ph
null
We present a scheme in which an ion trap quantum computer can be used to make arbitrarily accurate measurements of the quadrature phase variables for the collective vibrational motion of the ion. The electronic states of the ion become the `apparatus', and the method is based on regarding the `apparatus' as a quantum computer register which can be prepared in appropriate states by running a Fourier transform algorithm on the data stored within it. The resolution of the measurement rises exponentially with the number of ions used.
[ { "version": "v1", "created": "Thu, 8 May 1997 03:05:21 GMT" } ]
2007-05-23T00:00:00
[ [ "D'Helon", "C.", "" ], [ "Milburn", "G. J.", "" ] ]
quant-ph/9705015
null
Roberto Onofrio and Lorenza Viola
Lindblad Approach to Nonlinear Jaynes-Cummings Dynamics of a Trapped Ion
5 Pages, 3 figures available upon request; Plain REVTeX; to be published in Physical Review A
null
10.1103/PhysRevA.56.39
null
quant-ph
null
The Lindblad approach to open quantum systems is introduced for studying the dynamics of a single trapped ion prepared in nonclassical motional states and subjected to continuous measurement of its internal population. This results in an inhibition of the dynamics similar to the one occurring in the quantum Zeno effect. In particular, modifications to the Jaynes-Cummings collapses and revivals arising from an initial coherent state of motion in various regimes of interaction with the driving laser are dealt in detail.
[ { "version": "v1", "created": "Fri, 9 May 1997 21:37:48 GMT" } ]
2009-10-30T00:00:00
[ [ "Onofrio", "Roberto", "" ], [ "Viola", "Lorenza", "" ] ]
quant-ph/9705016
Ruediger Schack
Ruediger Schack (Royal Holloway, University of London)
Using a quantum computer to investigate quantum chaos
4 pages, REVTEX, no figures
Phys.Rev.A57:1634-1635,1998
10.1103/PhysRevA.57.1634
null
quant-ph chao-dyn nlin.CD
null
We show that the quantum baker's map, a prototypical map invented for theoretical studies of quantum chaos, has a very simple realization in terms of quantum gates. Chaos in the quantum baker's map could be investigated experimentally on a quantum computer based on only 3 qubits.
[ { "version": "v1", "created": "Sat, 10 May 1997 16:35:02 GMT" } ]
2008-12-30T00:00:00
[ [ "Schack", "Ruediger", "", "Royal Holloway, University of London" ] ]
quant-ph/9705017
Yu Shi
Yu Shi
Synchronizing Quantum Paths of a Universal Quantum Computer
This paper has been withdrawn, and will be superseded by another submission
null
null
null
quant-ph
null
This paper has been withdrawn, and will be superseded by another submission.
[ { "version": "v1", "created": "Sat, 10 May 1997 18:54:42 GMT" }, { "version": "v2", "created": "Tue, 13 May 1997 10:08:17 GMT" }, { "version": "v3", "created": "Tue, 19 May 1998 10:56:15 GMT" } ]
2008-02-03T00:00:00
[ [ "Shi", "Yu", "" ] ]
quant-ph/9705018
Guo Guangcan
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Linearly-independent quantum states can be cloned
9 pages, no figures, Latex
null
null
null
quant-ph
null
A fundamental question in quantum mechanics is, whether it is possible to replicate an arbitrary unknown quantum state. Then famous quantum no-cloning theorem [Nature 299, 802 (1982)] says no to the question. But it leaves open the following question: If the state is not arbitrary, but secretly chosen from a certain set $\$={ | \Psi _1> ,| \Psi_2> ,... ,| \Psi _n> } $, whether is the cloning possible? This question is of great practical significance because of its applications in quantum information theory. If the states $| \Psi_1>, | \Psi_2>,...$ and $| \Psi_n> $ are linearly-dependent, similar to the proof of the no-cloning theorem, the linearity of quantum mechanics forbids such replication. In this paper, we show that, if the states $| \Psi_1>, | \Psi _2>, ...$ and $| \Psi_n> $ are linearly-independent, they do can be cloned by a unitary-reduction process.
[ { "version": "v1", "created": "Mon, 12 May 1997 03:18:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9705019
Samuel Joseph
Joseph Samuel
The Geometric Phase and Ray Space Isometries
17 pages, Latex file, no figures, To appear in Pramana J. Phys
null
10.1007/BF02847455
null
quant-ph
null
We study the behaviour of the geometric phase under isometries of the ray space. This leads to a better understanding of a theorem first proved by Wigner: isometries of the ray space can always be realised as projections of unitary or anti-unitary transformations on the Hilbert space. We suggest that the construction involved in Wigner's proof is best viewed as an use of the Pancharatnam connection to ``lift'' a ray space isometry to the Hilbert space.
[ { "version": "v1", "created": "Mon, 12 May 1997 06:50:09 GMT" } ]
2009-10-30T00:00:00
[ [ "Samuel", "Joseph", "" ] ]
quant-ph/9705020
Giacomo Mauro D'Ariano
G. M. D'Ariano and M. F. Sacchi (Dipartimento di Fisica 'Alessandro Volta', Pavia, Italy)
Trace forms for the generalized Wigner functions
Accepted on Nuovo Cimento B
Nuovo Cim. B112 (1997) 881-888
null
null
quant-ph
null
We derive simple formulas connecting the generalized Wigner functions for $s$-ordering with the density matrix, and vice-versa. These formulas proved very useful for quantum mechanical applications, as, for example, for connecting master equations with Fokker-Planck equations, or for evaluating the quantum state from Monte Carlo simulations of Fokker-Planck equations, and finally for studying positivity of the generalized Wigner functions in the complex plane.
[ { "version": "v1", "created": "Mon, 12 May 1997 14:10:43 GMT" } ]
2016-09-08T00:00:00
[ [ "D'Ariano", "G. M.", "", "Dipartimento di Fisica 'Alessandro\n Volta', Pavia, Italy" ], [ "Sacchi", "M. F.", "", "Dipartimento di Fisica 'Alessandro\n Volta', Pavia, Italy" ] ]
quant-ph/9705021
Giacomo Mauro D'Ariano
G. M. D'Ariano and M. F. Sacchi (Dipartimento di Fisica 'Alessandro Volta', Pavia, Italy)
Optical von Neumann measurement
One latex figure. Accepted on Phys. Lett. A
Phys.Lett. A231 (1997) 325-330
10.1016/S0375-9601(97)00314-9
null
quant-ph
null
We present an optical scheme that realizes the standard von Neumann measurement model, providing an indirect measurement of a quadrature of the field with controllable Gaussian state-reduction. The scheme is made of simple optical elements, as laser sources, beam splitters, and phase sensitive amplifiers, along with a feedback mechanism that uses a Pockels cell. We show that the von Neumann measurement is achieved without the need of working in a ultra-short pulsed regime.
[ { "version": "v1", "created": "Mon, 12 May 1997 14:10:44 GMT" } ]
2009-10-30T00:00:00
[ [ "D'Ariano", "G. M.", "", "Dipartimento di Fisica 'Alessandro\n Volta', Pavia, Italy" ], [ "Sacchi", "M. F.", "", "Dipartimento di Fisica 'Alessandro\n Volta', Pavia, Italy" ] ]
quant-ph/9705022
Wayne M. Itano
D. J. Wineland, C. Monroe, D. M. Meekhof, B. E. King, D. Leibfried, W. M. Itano, J. C. Bergquist, D. Berkeland, J. J. Bollinger, J. Miller
Quantum state manipulation of trapped atomic ions
Postscript only. 21 pages text, 5 figures., Proc. Workshop on Quantum Computing, Santa Barbara, CA, Dec. 1996, Submitted to Proc. Roy. Soc. A
null
10.1098/rspa.1998.0168
null
quant-ph
null
A single laser-cooled and trapped 9Be+ ion is used to investigate methods of coherent quantum-state synthesis and quantum logic. We create and characterize nonclassical states of motion including "Schroedinger-cat" states. A fundamental quantum logic gate is realized which uses two states of the quantized ion motion and two ion internal states as qubits. We explore some of the applications for, and problems in realizing, quantum computation based on multiple trapped ions.
[ { "version": "v1", "created": "Mon, 12 May 1997 23:03:19 GMT" } ]
2009-10-30T00:00:00
[ [ "Wineland", "D. J.", "" ], [ "Monroe", "C.", "" ], [ "Meekhof", "D. M.", "" ], [ "King", "B. E.", "" ], [ "Leibfried", "D.", "" ], [ "Itano", "W. M.", "" ], [ "Bergquist", "J. C.", "" ], [ "Berkeland", "D.", "" ], [ "Bollinger", "J. J.", "" ], [ "Miller", "J.", "" ] ]
quant-ph/9705023
Samuel Joseph
Joseph Samuel and Supurna Sinha
Thomas Rotation and Polarised Light: A non-Abelian Geometric Phase in Optics
14 pages, Latex file, one figure, to appear in Pramana J. Phys
null
null
null
quant-ph
null
We describe a non-Abelian Berry phase in polarisation optics, suggested by an analogy due to Nityananda between boosts in special relativity and the effect of elliptic dichroism on polarised light. The analogy permits a simple optical realization of the non-Abelian gauge field describing Thomas rotation. We also show how Thomas rotation can be understood geometrically on the Poincar\'{e} sphere in terms of the Pancharatnam phase.
[ { "version": "v1", "created": "Tue, 13 May 1997 08:05:44 GMT" } ]
2016-09-08T00:00:00
[ [ "Samuel", "Joseph", "" ], [ "Sinha", "Supurna", "" ] ]
quant-ph/9705024
Yuri Shtanov
Yuri Shtanov (IUCAA, Pune, India, and Bogoliubov Institute, Kiev, Ukraine)
Origin of quantum randomness in the pilot wave quantum mechanics
18 pages, revtex, epsfig, 1 figure
null
null
IUCAA-38/97
quant-ph
null
We account for the origin of the laws of quantum probabilities in the de Broglie-Bohm (pilot wave) formulation of quantum theory by considering the property of ergodicity likely to characterise the dynamics of microscopic quantum systems.
[ { "version": "v1", "created": "Wed, 14 May 1997 06:49:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Shtanov", "Yuri", "", "IUCAA, Pune, India, and Bogoliubov Institute, Kiev,\n Ukraine" ] ]
quant-ph/9705025
Giacomo Mauro D'Ariano
G. M. D'Ariano and M. G. A. Paris (Dipartimento di Fisica 'Alessandro Volta', Pavia, Italy)
The Quantum Tomographic Roulette Wheel
1 ps figure. art10.sty and adacta.sty included. Submitted to Acta Physica Slovaca
Acta Phys.Slov. 47 (1997) 1-10
null
null
quant-ph
null
Random-phase homodyne tomography of the field intensity is a concrete example of the Quantum Roulette of Helstrom. In this paper we give the explicit POM of such measurement and compare it with direct photodetection and heterodyne detection. Effects of nonunit quantum efficiency are also considered. Naimark extensions for the roulette POM are analyzed and its experimental realization is discussed.
[ { "version": "v1", "created": "Tue, 13 May 1997 14:48:41 GMT" } ]
2007-05-23T00:00:00
[ [ "D'Ariano", "G. M.", "", "Dipartimento di Fisica 'Alessandro\n Volta', Pavia, Italy" ], [ "Paris", "M. G. A.", "", "Dipartimento di Fisica 'Alessandro\n Volta', Pavia, Italy" ] ]
quant-ph/9705026
Vladimir Privman
Vladimir Privman, Dima Mozyrsky, Steven P. Hotaling
Hamiltonians for Quantum Computing
13 pages in LaTeX
Proc.SPIE Int.Soc.Opt.Eng.3076:84-96,1997
10.1117/12.277664
null
quant-ph
null
We argue that the analog nature of quantum computing makes the usual design approach of constructing complicated logical operations from many simple gates inappropriate. Instead, we propose to design multi-spin quantum gates in which the input and output two-state systems (spins) are not necessarily identical. We outline the design criteria for such devices and then review recent results for single-unit Hamiltonians that accomplish the NOT and XOR functions.
[ { "version": "v1", "created": "Tue, 13 May 1997 15:03:44 GMT" } ]
2014-11-18T00:00:00
[ [ "Privman", "Vladimir", "" ], [ "Mozyrsky", "Dima", "" ], [ "Hotaling", "Steven P.", "" ] ]
quant-ph/9705027
S. Wallentowitz
S. Wallentowitz and W. Vogel
Quantum mechanical counterpart of nonlinear optics
6 pages, 4 figures, to be published in Phys. Rev. A 55 (June)
null
10.1103/PhysRevA.55.4438
null
quant-ph
null
Raman-type laser excitation of a trapped atom allows one to realize the quantum mechanical counterpart of phenomena of nonlinear optics, such as Kerr-type nonlinearities, parametric amplification, and multi-mode mixing. Additionally, huge nonlinearities emerge from the interference of the atomic wave function with the laser waves. They lead to a partitioning of the phase space accompanied by a significantly different action of the time evolution in neighboring phase-space zones. For example, a nonlinearly modified coherent "displacement" of the motional quantum state may induce strong amplitude squeezing and quantum interferences.
[ { "version": "v1", "created": "Thu, 15 May 1997 13:18:22 GMT" } ]
2009-10-30T00:00:00
[ [ "Wallentowitz", "S.", "" ], [ "Vogel", "W.", "" ] ]
quant-ph/9705028
S. Wallentowitz
S. Wallentowitz, R.L. de Matos Filho, and W. Vogel
Determination of entangled quantum states of a trapped atom
7 pages, 3 figures, to be published in Phys. Rev. A 56 (Aug)
null
10.1103/PhysRevA.56.1205
null
quant-ph
null
We propose a method for measuring entangled vibronic quantum states of a trapped atom. It is based on the nonlinear dynamics of the system that appears by resonantly driving a weak electronic transition. The proposed technique allows the direct sampling of a Wigner-function matrix, displaying all knowable information on the quantum correlations of the motional and electronic degrees of freedom of the atom. It opens novel possibilities for testing fundamental predictions of the quantum theory concerning interaction phenomena.
[ { "version": "v1", "created": "Thu, 15 May 1997 15:20:09 GMT" } ]
2009-10-30T00:00:00
[ [ "Wallentowitz", "S.", "" ], [ "Filho", "R. L. de Matos", "" ], [ "Vogel", "W.", "" ] ]