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2.83k
quant-ph/9609010
Vladimir Privman
Dima Mozyrsky, Vladimir Privman
Quantum signal splitting that avoids initialization of the targets
16 pages in plain TeX and one Postscript figure
Mod.Phys.Lett.B11:1277-1283,1997
10.1142/S0217984997001523
null
quant-ph cond-mat
null
The classical signal splitting and copying are not possible in quantum mechanics. Specifically, one cannot copy the basis up and down states of the input (I) two-state system (qubit, spin) into the copy (C) and duplicate-copy (D) two-state systems if the latter systems are initially in an arbitrary state. We consider instead a quantum evolution in which the basis states of I at time t are duplicated in at least two of the systems I, C, D, at time t + Delta t. In essence, the restriction on the initial target states is exchanged for uncertainty as to which two of the three qubits retain copies of the initial source state.
[ { "version": "v1", "created": "Mon, 16 Sep 1996 16:55:52 GMT" }, { "version": "v2", "created": "Sun, 31 Aug 1997 15:01:27 GMT" } ]
2014-11-18T00:00:00
[ [ "Mozyrsky", "Dima", "" ], [ "Privman", "Vladimir", "" ] ]
quant-ph/9609011
Andreas Fring
C. Figueira de Morisson Faria, A. Fring and R. Schrader
On the Influence of Pulse Shapes on Ionization Probability
21 pages LateX, 10 figures
J.Phys. B31 (1998) 449
10.1088/0953-4075/31/3/013
SfB-288 Preprint No.224, Berlin
quant-ph atom-ph chem-ph
null
We investigate analytical expressions for the upper and lower bounds for the ionization probability through ultra-intense shortly pulsed laser radiation. We take several different pulse shapes into account, including in particular those with a smooth adiabatic turn-on and turn-off. For all situations for which our bounds are applicable we do not find any evidence for bound-state stabilization.
[ { "version": "v1", "created": "Mon, 16 Sep 1996 17:26:44 GMT" }, { "version": "v2", "created": "Thu, 10 Apr 1997 15:25:01 GMT" } ]
2009-10-30T00:00:00
[ [ "Faria", "C. Figueira de Morisson", "" ], [ "Fring", "A.", "" ], [ "Schrader", "R.", "" ] ]
quant-ph/9609012
Zdenek Hradil
Zdenek Hradil, (Department of Optics, Olomouc)
Quantum state estimation
4 pages, twocolumn Revtex
null
10.1103/PhysRevA.55.R1561
null
quant-ph
null
New algorithm for quantum state estimation based on the maximum likelihood estimation is proposed. Existing techniques for state reconstruction based on the inversion of measured data are shown to be overestimated since they do not guarantee the positive definiteness of the reconstructed density matrix.
[ { "version": "v1", "created": "Tue, 17 Sep 1996 10:07:00 GMT" } ]
2009-10-30T00:00:00
[ [ "Hradil", "Zdenek", "" ] ]
quant-ph/9609013
N. David Mermin
N. David Mermin
The Ithaca Interpretation of Quantum Mechanics
21 pages, plain TEX. Notes for a lecture given at the Golden Jubilee Workshop on Foundations of Quantum Theory, Tata Institute, Bombay, September 9-12, 1996
Pramana 51:549-565,1998
10.1007/BF02827447
null
quant-ph
null
I list several strong requirements for what I would consider a sensible interpretation of quantum mechanics and I discuss two simple theorems. One, as far as I know, is new; the other was only noted a few years ago. Both have important implications for such a sensible interpretation. My talk will not clear everything up; indeed, you may conclude that it has not cleared anything up. But I hope it will provide a different perspective from which to view some old and vexing puzzles (or, if you believe nothing needs to be cleared up, some ancient verities.)
[ { "version": "v1", "created": "Tue, 17 Sep 1996 17:43:34 GMT" } ]
2011-04-11T00:00:00
[ [ "Mermin", "N. David", "" ] ]
quant-ph/9609014
null
Giuseppe Vitiello (Dipartimento di Fisica, Universita' di Salerno, Italia)
Structure and Function
to appear in Proceed. of the Tucson 1996 Conference "Towards a Science of Consciousness" Latex file
null
null
null
quant-ph
null
I discuss the role of quantum dynamics in brain and living matter physics. The paper is presented in the form of a letter to Patricia S. Churchland.
[ { "version": "v1", "created": "Wed, 18 Sep 1996 17:57:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Vitiello", "Giuseppe", "", "Dipartimento di Fisica, Universita' di Salerno,\n Italia" ] ]
quant-ph/9609015
Asher Peres
Asher Peres
Unitary dynamics for quantum codewords
10 pages LaTeX, to appear in proceedings of symposium on quantum communication and measurement (Plenum)
"Quantum Communication, Computing and Measurement" ed. by O. Hirota, A.S. Holevo, and C.M. Caves (Plenum, 1997) pp.171-179
null
null
quant-ph
null
A quantum codeword is a redundant representation of a logical qubit by means of several physical qubits. It is constructed in such a way that if one of the physical qubits is perturbed, for example if it gets entangled with an unknown environment, there still is enough information encoded in the other physical qubits to restore the logical qubit, and disentangle it from the environment. The recovery procedure may consist of the detection of an error syndrome, followed by the correction of the error, as in the classical case. However, it can also be performed by means of unitary operations, without having to know the error syndrome. Since quantum codewords span only a restricted subspace of the complete physical Hilbert space, the unitary operations that generate quantum dynamics (that is, the computational process) are subject to considerable arbitrariness, similar to the gauge freedom in quantum field theory. Quantum codewords can thus serve as a toy model for investigating the quantization of constrained dynamical systems.
[ { "version": "v1", "created": "Wed, 18 Sep 1996 23:59:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9609016
Asher Peres
Asher Peres
Quantum nonlocality and inseparability
14 pages LaTeX, to appear in proceedings of symposium on fundamental problems in quantum physics, Oviedo 1996 (Kluwer Academic Publishers). One figure may be requested from the author
"New Developments on Fundamental Problems in Quantum Physics" ed. by M. Ferrero and A. van der Merwe (Kluwer, 1997) pp.301-310
null
null
quant-ph
null
A quantum system consisting of two subsystems is separable if its density matrix can be written as $\rho=\sum w_K \rho_K'\otimes \rho_K''$, where $\rho_K'$ and $\rho_K''$ are density matrices for the two subsytems, and the positive weights $w_K$ satisfy $\sum w_K=1$. A necessary condition for separability is derived and is shown to be more sensitive than Bell's inequality for detecting quantum inseparability. Moreover, collective tests of Bell's inequality (namely, tests that involve several composite systems simultaneously) may sometimes lead to a violation of Bell's inequality, even if the latter is satisfied when each composite system is tested separately.
[ { "version": "v1", "created": "Thu, 19 Sep 1996 00:36:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9609017
null
D.A. Trifonov
Schr\"{o}dinger Intelligent States and Linear and Quadratic Amplitude Squeezing
33 pages, latex, 4 figures available upon request. In the replaced version 2 references (the last ones) are added
null
null
Preprint INRNE-TH-96/6
quant-ph
null
A complete set of solutions |z,u,v>_{sa} of the eigenvalue equation (ua^2+va^{dagger 2})|z,u,v> = z|z,u,v> ([a,a^{dagger}]=1) are constructed and discussed. These and only these states minimize the Schr\"{o}dinger uncertainty inequality for the squared amplitude (s.a.) quadratures. Some general properties of Schr\"{o}dinger intelligent states (SIS) |z,u,v> for any two observables X, Y are discussed, the sets of even and odd s.a. SIS |z,u,v;+,-> being studied in greater detail. The set of s.a. SIS contain all even and odd coherent states (CS) of Dodonov, Malkin and Man'ko, the Perelomov SU(1,1) CS and the squeezed Hermite polynomial states of Bergou, Hillery and Yu. The even and odd SIS can exhibit very strong both linear and quadratic squeezing (even simultaneously) and super- and subpoissonian statistics as well. A simple sufficient condition for superpoissonian statistics is obtained and the diagonalization of the amplitude and s.a. uncertainty matrices in any pure or mixed state by linear canonical transformations is proven.
[ { "version": "v1", "created": "Thu, 19 Sep 1996 16:45:31 GMT" }, { "version": "v2", "created": "Mon, 23 Sep 1996 15:02:49 GMT" } ]
2008-02-03T00:00:00
[ [ "Trifonov", "D. A.", "" ] ]
quant-ph/9609018
Vladimir Privman
Dima Mozyrsky, Vladimir Privman, Mark Hillery
A Hamiltonian for quantum copying
16 pages in plain TeX
Phys.Lett.A226:253-256,1997
10.1016/S0375-9601(96)00939-5
null
quant-ph cond-mat.mtrl-sci
null
We derive an explicit Hamiltonian for copying the basis up and down states of a quantum two-state system - a qubit - onto n "copy" qubits initially all prepared in the down state. In terms of spin components, for spin-1/2 particle spin states, the resulting Hamiltonian involves n- and (n+1)-spin interactions. The case n=1 also corresponds to a quantum-computing controlled-NOT gate.
[ { "version": "v1", "created": "Tue, 24 Sep 1996 22:00:00 GMT" }, { "version": "v2", "created": "Sat, 10 May 1997 12:19:10 GMT" } ]
2014-11-18T00:00:00
[ [ "Mozyrsky", "Dima", "" ], [ "Privman", "Vladimir", "" ], [ "Hillery", "Mark", "" ] ]
quant-ph/9609019
null
Andrew J. Bordner
Operator Transformations Between Exactly Solvable Potentials and Their Lie Group Generators
13 pages with one Postscript figure, uses LaTeX2e with revtex
J.Phys.A30:3927,1997
10.1088/0305-4470/30/11/020
KUNS-1410, HE(TH) 96/11
quant-ph
null
One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.
[ { "version": "v1", "created": "Thu, 26 Sep 1996 13:25:35 GMT" }, { "version": "v2", "created": "Fri, 27 Sep 1996 06:09:28 GMT" } ]
2008-11-26T00:00:00
[ [ "Bordner", "Andrew J.", "" ] ]
quant-ph/9609020
Alan Kostelecky
Robert Bluhm, Alan Kostelecky, and Bogdan Tudose
Wave-Packet Revivals for Quantum Systems with Nondegenerate Energies
accepted for publication in Physics Letters A
Phys.Lett.A222:220,1996
10.1016/0375-9601(96)00641-X
IUHET 338, July 1996
quant-ph
null
The revival structure of wave packets is examined for quantum systems having energies that depend on two nondegenerate quantum numbers. For such systems, the evolution of the wave packet is controlled by two classical periods and three revival times. These wave packets exhibit quantum beats in the initial motion as well as new types of long-term revivals. The issue of whether fractional revivals can form is addressed. We present an analytical proof showing that at certain times equal to rational fractions of the revival times the wave packet can reform as a sum of subsidiary waves and that both conventional and new types of fractional revivals can occur.
[ { "version": "v1", "created": "Thu, 26 Sep 1996 17:35:58 GMT" } ]
2009-09-25T00:00:00
[ [ "Bluhm", "Robert", "" ], [ "Kostelecky", "Alan", "" ], [ "Tudose", "Bogdan", "" ] ]
quant-ph/9609021
Mark J. Hadley
Mark J. Hadley
A Gravitational Explanation for Quantum Mechanics
10 pages Latex2e, talk given at the 5th UK Conference on Conceptual and Philosophical Problems in Physics held in Oxford, 10th-14th September 1996
null
null
null
quant-ph gr-qc
null
It is shown that certain structures in classical General Relativity can give rise to non-classical logic, normally associated with Quantum Mechanics. A 4-geon model of an elementary particle is proposed which is asymptotically flat, particle-like and has a non-trivial causal structure. The usual Cauchy data are no longer sufficient to determine a unique evolution. The measurement apparatus itself can impose non-redundant boundary conditions. Measurements of such an object would fail to satisfy the distributive law of classical physics. This model reconciles General Relativity and Quantum Mechanics without the need for Quantum Gravity. The equations of Quantum Mechanics are unmodified but it is not universal; classical particles and waves could exist and there is no graviton.
[ { "version": "v1", "created": "Fri, 27 Sep 1996 12:19:18 GMT" } ]
2024-01-03T00:00:00
[ [ "Hadley", "Mark J.", "" ] ]
quant-ph/9609022
M. Czachor
Marek Czachor
Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
Figures added as appeared in PRA, two typos corrected (one important in the formula for eigenvector in Sec. IV); link to the unpublished 1984 paper containing the results (without typos!) of Sec. IV is added
Phys.Rev. A55 (1997) 72
10.1103/PhysRevA.55.72
null
quant-ph
null
The EPRB experiment with massive partcles can be formulated if one defines spin in a relativistic way. Two versions are discussed: The one using the spin operator defined via the relativistic center-of-mass operator, and the one using the Pauli-Lubanski vector. Both are shown to lead to the SAME prediction for the EPRB experiment: The degree of violation of the Bell inequality DECREASES with growing velocity of the EPR pair of spin-1/2 particles. The phenomenon can be physically understood as a combined effect of the Lorentz contraction and the Moller shift of the relativistic center of mass. The effect is therefore stronger than standard relativistic phenomena such as the Lorentz contraction or time dilatation. The fact that the Bell inequality is in general less violated than in the nonrelativistic case will have to be taken into account in tests for eavesdropping if massive particles will be used for a key transfer.
[ { "version": "v1", "created": "Fri, 27 Sep 1996 13:40:53 GMT" }, { "version": "v2", "created": "Sat, 1 Nov 2003 18:09:21 GMT" } ]
2009-10-30T00:00:00
[ [ "Czachor", "Marek", "" ] ]
quant-ph/9609023
Olavo Leopoldino Da Silva Filho
L.S.F. Olavo
Quantum Mechanics as a Classical Theory XIV: Connection with Stochastic Processes
plain latex, no figures, 15 pages
null
null
unb-014
quant-ph
null
In this paper we are interested in unraveling the mathematical connections between the stochastic derivation of Schr\"odinger equation and ours. It will be shown that these connections are given by means of the time-energy dispersion relation and will allow us to interpret this relation on more sounded grounds. We also discuss the underlying epistemology.
[ { "version": "v1", "created": "Fri, 27 Sep 1996 18:23:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Olavo", "L. S. F.", "" ] ]
quant-ph/9609024
Chris Adami
C. Adami and N.J. Cerf (California Institute of Technology)
On the von Neumann capacity of noisy quantum channels
15 pages RevTeX with psfig, 13 figures. Revised interpretation of capacity, added section, changed title
Phys.Rev.A56:3470,1997
10.1103/PhysRevA.56.3470
KRL MAP-206
quant-ph
null
We discuss the capacity of quantum channels for information transmission and storage. Quantum channels have dual uses: they can be used to transmit known quantum states which code for classical information, and they can be used in a purely quantum manner, for transmitting or storing quantum entanglement. We propose here a definition of the von Neumann capacity of quantum channels, which is a quantum mechanical extension of the Shannon capacity and reverts to it in the classical limit. As such, the von Neumann capacity assumes the role of a classical or quantum capacity depending on the usage of the channel. In analogy to the classical construction, this capacity is defined as the maximum von Neumann mutual entropy processed by the channel, a measure which reduces to the capacity for classical information transmission through quantum channels (the "Kholevo capacity") when known quantum states are sent. The quantum mutual entropy fulfills all basic requirements for a measure of information, and observes quantum data-processing inequalities. We also derive a quantum Fano inequality relating the quantum loss of the channel to the fidelity of the quantum code. The quantities introduced are calculated explicitly for the quantum "depolarizing" channel. The von Neumann capacity is interpreted within the context of superdense coding, and an "extended" Hamming bound is derived that is consistent with that capacity.
[ { "version": "v1", "created": "Fri, 27 Sep 1996 23:17:08 GMT" }, { "version": "v2", "created": "Wed, 23 Oct 1996 02:27:50 GMT" }, { "version": "v3", "created": "Tue, 3 Jun 1997 02:35:23 GMT" } ]
2008-12-18T00:00:00
[ [ "Adami", "C.", "", "California Institute of Technology" ], [ "Cerf", "N. J.", "", "California Institute of Technology" ] ]
quant-ph/9609025
Mark J. Gotay
Mark J. Gotay, Hendrik B. Grundling
On Quantizing $T^*S^1$
LaTeX, 19 pps
Rept.Math.Phys. 40 (1997) 107-123
10.1016/S0034-4877(97)85622-4
null
quant-ph dg-ga hep-th math.DG
null
In this paper we continue our study of Groenewold-Van Hove obstructions to quantization. We show that there exists such an obstruction to quantizing the cylinder $T^*S^1.$ More precisely, we prove that there is no quantization of the Poisson algebra of $T^*S^1$ which is irreducible on a naturally defined $e(2) \times R$ subalgebra. Furthermore, we determine the maximal ``polynomial'' subalgebras that can be consistently quantized, and completely characterize the quantizations thereof. This example provides support for one of the conjectures in Gotay et al 1996, but disproves part of another. Passing to coverings, we also derive a no-go result for $R^2$ which is comparatively stronger than those originally found by Groenewold and Van Hove.
[ { "version": "v1", "created": "Sat, 28 Sep 1996 00:15:28 GMT" } ]
2009-10-30T00:00:00
[ [ "Gotay", "Mark J.", "" ], [ "Grundling", "Hendrik B.", "" ] ]
quant-ph/9609026
null
Stefano Mancini, Vladimir I. Man'ko, and Paolo Tombesi
Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
29 pages,LATEX,accepted by Foundations of Physics
Found.Phys. 27 (1997) 801
10.1007/BF02550342
null
quant-ph
null
The dynamical equation of quantum mechanics are rewritten in form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated and squeezed quadrature introduced in the so called "symplectic tomography". Then the possibility of a purely classical description of a quantum system as well as a reinterpretation of the quantum measurement theory is discussed and a comparision with the well known quasi-probabilities approach is given. Furthermore, an analysis of the properties of this marginal distribution, which contains all the quantum information, is performed in the framework of classical probability theory. Finally examples of harmonic oscillator's states dynamics are treated.
[ { "version": "v1", "created": "Sat, 28 Sep 1996 11:17:00 GMT" } ]
2009-10-30T00:00:00
[ [ "Mancini", "Stefano", "" ], [ "Man'ko", "Vladimir I.", "" ], [ "Tombesi", "Paolo", "" ] ]
quant-ph/9609027
Wolfhard Janke
Wolfhard Janke, Hagen Kleinert (JGU Mainz, FU Berlin)
Convergence Behavior of Variational Perturbation Expansions
5 pages, LaTeX + 2 postscript figures. Talk presented by WJ at "Path Integrals from meV to MeV: Dubna '96". See also http://www.cond-mat.physik.uni-mainz.de/~janke/doc/home_janke.html
null
null
KOMA-96-35
quant-ph
null
Variational weak-coupling perturbation theory yields converging approximations, uniformly in the coupling strength. This allows us to calculate directly the coefficients of `strong-coupling' expansions. For the anharmonic oscillator we explain the physical origin of the empirically observed convergence behavior which is exponentially fast with superimposed oscillations.
[ { "version": "v1", "created": "Sat, 28 Sep 1996 22:57:51 GMT" } ]
2016-09-08T00:00:00
[ [ "Janke", "Wolfhard", "", "JGU Mainz, FU Berlin" ], [ "Kleinert", "Hagen", "", "JGU Mainz, FU Berlin" ] ]
quant-ph/9610001
Michael Nielsen
Isaac L. Chuang and M. A. Nielsen
Prescription for experimental determination of the dynamics of a quantum black box
6 pages, Revtex. Submitted to J. Mod. Opt
null
10.1080/09500349708231894
null
quant-ph
null
We give an explicit prescription for experimentally determining the evolution operators which completely describe the dynamics of a quantum mechanical black box -- an arbitrary open quantum system. We show necessary and sufficient conditions for this to be possible, and illustrate the general theory by considering specifically one and two quantum bit systems. These procedures may be useful in the comparative evaluation of experimental quantum measurement, communication, and computation systems.
[ { "version": "v1", "created": "Tue, 1 Oct 1996 16:21:11 GMT" } ]
2015-06-26T00:00:00
[ [ "Chuang", "Isaac L.", "" ], [ "Nielsen", "M. A.", "" ] ]
quant-ph/9610002
Funahashi Kunio
Kazuyuki Fujii and Kunio Funahashi
Multi-Periodic Coherent States and the WKB-Exactness II ``Non-compact Case and Classical theories Revisited''
LaTeX, 29 pages
J.Math.Phys. 38 (1997) 2812-2831
10.1063/1.532021
null
quant-ph
null
We show that the WKB approximation gives the exact result in the trace formula of ``$CQ^N$'', which is the non-compact counterpart of $CP^N$, in terms of the ``multi-periodic'' coherent state. We revisit the symplectic 2-forms on $CP^N$ and $CQ^N$ and, especially, construct that on $CQ^N$ with the unitary form. We also revisit the exact calculation of the classical patition functions of them.
[ { "version": "v1", "created": "Wed, 2 Oct 1996 04:20:42 GMT" } ]
2009-10-30T00:00:00
[ [ "Fujii", "Kazuyuki", "" ], [ "Funahashi", "Kunio", "" ] ]
quant-ph/9610003
Dirk Sondermann
Almut Beige, Gerhard C. Hegerfeldt, Dirk G. Sondermann
Atomic Quantum Zeno Effect for Ensembles and Single Systems
19 pages, LaTeX, a4.sty
Found.Phys.27:1671-1688,1997
10.1007/BF02551444
null
quant-ph
null
The so-called quantum Zeno effect is essentially a consequence of the projection postulate for ideal measurements. To test the effect Itano et al. have performed an experiment on an ensemble of atoms where rapidly repeated level measurements were realized by means of short laser pulses. Using dynamical considerations we give an explanation why the projection postulate can be applied in good approximation to such measurements. Corrections to ideal measurements are determined explicitly. This is used to discuss in how far the experiment of Itano et al. can be considered as a test of the quantum Zeno effect. We also analyze a new possible experiment on a single atom where stochastic light and dark periods can be interpreted as manifestation of the quantum Zeno effect. We show that the measurement point of view gives a quick and intuitive understanding of experiments of the above type, although a finer analysis has to take the corrections into account.
[ { "version": "v1", "created": "Wed, 2 Oct 1996 10:55:47 GMT" } ]
2014-11-18T00:00:00
[ [ "Beige", "Almut", "" ], [ "Hegerfeldt", "Gerhard C.", "" ], [ "Sondermann", "Dirk G.", "" ] ]
quant-ph/9610004
Marc Jaekel
Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel)
Mass as a Relativistic Quantum Observable
5 pages, revised version
Europhys.Lett.38:1,1977
10.1209/epl/i1997-00108-7
LPTENS 96/53
quant-ph gr-qc
null
A field state containing photons propagating in different directions has a non vanishing mass which is a quantum observable. We interpret the shift of this mass under transformations to accelerated frames as defining space-time observables canonically conjugated to energy-momentum observables. Shifts of quantum observables differ from the predictions of classical relativity theory in the presence of a non vanishing spin. In particular, quantum redshift of energy-momentum is affected by spin. Shifts of position and energy-momentum observables however obey simple universal rules derived from invariance of canonical commutators.
[ { "version": "v1", "created": "Thu, 3 Oct 1996 10:46:45 GMT" }, { "version": "v2", "created": "Mon, 16 Jun 1997 10:03:12 GMT" } ]
2010-12-17T00:00:00
[ [ "Jaekel", "Marc-Thierry", "", "Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure" ], [ "Reynaud", "Serge", "", "Laboratoire Kastler-Brossel" ] ]
quant-ph/9610005
Nicolas Cerf
Nicolas J. Cerf, Chris Adami (California Institute of Technology)
Negative entropy in quantum information theory
8 pages LaTeX, 2 figures, to appear in the Proceedings of the 2nd International Symposium on Fundamental Problems in Quantum Physics, Oviedo 96 (Kluwer Academic Publishers)
null
null
null
quant-ph
null
We present a quantum information theory that allows for the consistent description of quantum entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices, rather than probability distributions, for the description of quantum ensembles. We find that, unlike in Shannon theory, conditional entropies can be negative when considering quantum entangled systems such as an Einstein-Podolsky-Rosen pair, which leads to a violation of well-known bounds of classical information theory. Negative quantum entropy can be traced back to ``conditional'' density matrices which admit eigenvalues larger than unity. A straightforward definition of mutual quantum entropy, or ``mutual entanglement'', can also be constructed using a ``mutual'' density matrix. Such a unified information-theoretic description of classical correlation and quantum entanglement clarifies the link between them: the latter can be viewed as ``super-correlation'' which can induce classical correlation when considering a ternary or larger system.
[ { "version": "v1", "created": "Thu, 3 Oct 1996 17:52:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Cerf", "Nicolas J.", "", "California Institute of Technology" ], [ "Adami", "Chris", "", "California Institute of Technology" ] ]
quant-ph/9610006
Henrik Carlsen
Erik Sjoeqvist, Henrik Carlsen and Harvey R. Brown
Galilean non-invariance of geometric phase
LaTeX, 6 pages, no figures
null
10.1016/S0375-9601(97)00214-4
null
quant-ph
null
It is shown that geometric phase in non-relativistic quantum mechanics is not Galilean invariant.
[ { "version": "v1", "created": "Sun, 6 Oct 1996 18:59:25 GMT" } ]
2009-10-30T00:00:00
[ [ "Sjoeqvist", "Erik", "" ], [ "Carlsen", "Henrik", "" ], [ "Brown", "Harvey R.", "" ] ]
quant-ph/9610007
Ken Umeno
Ken Umeno
Integrability and Computability in Simulating Quantum Systems
9 pages, Latex, Related papers are on http://www.bip.riken.go.jp/irl/chaosken/quantum.html
in "Quantum Communication, Computing, and Measurement", Edited by O. Hirota, A.S.Holevo and C.M. Caves, p.p.195-201(Plenum Press, 1997).
null
null
quant-ph
null
An impossibility theorem on approximately simulating quantum non-integrable Hamiltonian systems is presented here. This result shows that there is a trade-off between the unitary property and the energy expectation conservation law in time-descretization of quantum non-integrable systems, whose classical counterpart is Ge-Marsden's impossibility result about simulating classically non-integrable Hamiltonian systems using integration schemes preserving symplectic (Lie-Poisson) property.
[ { "version": "v1", "created": "Fri, 4 Oct 1996 22:33:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Umeno", "Ken", "" ] ]
quant-ph/9610008
Vladimir Privman
Dima Mozyrsky, Vladimir Privman, Steven P. Hotaling
Extended Quantum XOR Gate in Terms of Two-Spin Interactions
15 pages in plain TeX with 1 Postscript figure
Int.J.Mod.Phys.B12:591-600,1998
10.1142/S0217979298000351
null
quant-ph
null
Considerations of feasibility of quantum computing lead to the study of multispin quantum gates in which the input and output two-state systems (spins) are not identical. We provide a general discussion of this approach and then propose an explicit two-spin interaction Hamiltonian which accomplishes the quantum XOR gate function for a system of three spins: two input and one output.
[ { "version": "v1", "created": "Sat, 5 Oct 1996 13:07:43 GMT" } ]
2014-11-18T00:00:00
[ [ "Mozyrsky", "Dima", "" ], [ "Privman", "Vladimir", "" ], [ "Hotaling", "Steven P.", "" ] ]
quant-ph/9610009
Steven Brumby
S.P. Brumby and G.C. Joshi
Experimental status of quaternionic quantum mechanics
8 pages, no figures, revtex. An update of paper appearing in journal reference given below, with minor amendments and latest additional references
Chaos Solitons Fractals 7 (1996) 747-752
10.1016/0960-0779(95)00001-1
UM-P-94/120; RCHEP-94/34
quant-ph hep-ph hep-th
null
Analysis of the logical foundations of quantum mechanics indicates the possibility of constructing a theory using quaternionic Hilbert spaces. Whether this mathematical structure reflects reality is a matter for experiment to decide. We review the only direct search for quaternionic quantum mechanics yet carried out and outline a recent proposal by the present authors to look for quaternionic effects in correlated multi-particle systems. We set out how such experiments might distinguish between the several quaternionic models proposed in the literature.
[ { "version": "v1", "created": "Tue, 8 Oct 1996 01:20:43 GMT" } ]
2015-06-26T00:00:00
[ [ "Brumby", "S. P.", "" ], [ "Joshi", "G. C.", "" ] ]
quant-ph/9610010
Gary Oas
Patrick Suppes, J. Acacio de Barros, Gary Oas
A Collection of Probabilistic Hidden-Variable Theorems and Counterexamples
20 pages latex. To appear in Nuovo Cimento. Presented Sept. 17, 1996 in Florence at a symposium in honor of Giuliano Toraldo di Francia. Significant additions and corrections have been made. Additional conditions on the existence of joint probability distributions as well as theorems on mapping from higher spin systems to two state variables
null
null
null
quant-ph
null
The purpose of this article is to formulate a number of probabilistic hidden-variable theorems, to provide proofs in some cases, and counterexamples to some conjectured relationships. The first theorem is the fundamental one. It asserts the general equivalence of the existence of a hidden variable and the existence of a joint probability distribution of the observed quatities, whether finite or continuous.
[ { "version": "v1", "created": "Tue, 8 Oct 1996 23:05:12 GMT" }, { "version": "v2", "created": "Tue, 18 Feb 1997 19:37:57 GMT" } ]
2008-02-03T00:00:00
[ [ "Suppes", "Patrick", "" ], [ "de Barros", "J. Acacio", "" ], [ "Oas", "Gary", "" ] ]
quant-ph/9610011
Emanuel Knill
E. Knill, R. Laflamme, W. Zurek
Threshold Accuracy for Quantum Computation
20 pages. 10/15/96: Added references to threshold results by Aharanov and Ben-Or and by Kitaev
null
null
null
quant-ph
null
We have previously (quant-ph/9608012) shown that for quantum memories and quantum communication, a state can be transmitted over arbitrary distances with error $\epsilon$ provided each gate has error at most $c\epsilon$. We discuss a similar concatenation technique which can be used with fault tolerant networks to achieve any desired accuracy when computing with classical initial states, provided a minimum gate accuracy can be achieved. The technique works under realistic assumptions on operational errors. These assumptions are more general than the stochastic error heuristic used in other work. Methods are proposed to account for leakage errors, a problem not previously recognized.
[ { "version": "v1", "created": "Tue, 8 Oct 1996 19:50:12 GMT" }, { "version": "v2", "created": "Wed, 9 Oct 1996 05:07:19 GMT" }, { "version": "v3", "created": "Tue, 15 Oct 1996 23:27:18 GMT" } ]
2008-02-03T00:00:00
[ [ "Knill", "E.", "" ], [ "Laflamme", "R.", "" ], [ "Zurek", "W.", "" ] ]
quant-ph/9610012
Emanuel Knill
E. Knill
Quantum Randomness and Nondeterminism
8 pages
null
null
null
quant-ph
null
Does the notion of a quantum randomized or nondeterministic algorithm make sense, and if so, does quantum randomness or nondeterminism add power? Although reasonable quantum random sources do not add computational power, the discussion of quantum randomness naturally leads to several definitions of the complexity of quantum states. Unlike classical string complexity, both deterministic and nondeterministic quantum state complexities are interesting. A notion of \emph{total quantum nondeterminism} is introduced for decision problems. This notion may be a proper extension of classical nondeterminism.
[ { "version": "v1", "created": "Wed, 9 Oct 1996 16:32:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Knill", "E.", "" ] ]
quant-ph/9610013
Salman Habib
Fred Cooper, John Dawson, Salman Habib, and Robert D. Ryne
Chaos in Time Dependent Variational Approximations to Quantum Dynamics
10 pages (12 figures), RevTeX (plus macro), uses epsf, minor typos corrected
Phys.Rev.E57:1489-1498,1998
10.1103/PhysRevE.57.1489
LA-UR-96-3335
quant-ph chao-dyn nlin.CD
null
Dynamical chaos has recently been shown to exist in the Gaussian approximation in quantum mechanics and in the self-consistent mean field approach to studying the dynamics of quantum fields. In this study, we first show that any variational approximation to the dynamics of a quantum system based on the Dirac action principle leads to a classical Hamiltonian dynamics for the variational parameters. Since this Hamiltonian is generically nonlinear and nonintegrable, the dynamics thus generated can be chaotic, in distinction to the exact quantum evolution. We then restrict attention to a system of two biquadratically coupled quantum oscillators and study two variational schemes, the leading order large N (four canonical variables) and Hartree (six canonical variables) approximations. The chaos seen in the approximate dynamics is an artifact of the approximations: this is demonstrated by the fact that its onset occurs on the same characteristic time scale as the breakdown of the approximations when compared to numerical solutions of the time-dependent Schrodinger equation.
[ { "version": "v1", "created": "Wed, 9 Oct 1996 17:12:42 GMT" }, { "version": "v2", "created": "Wed, 16 Oct 1996 23:19:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Cooper", "Fred", "" ], [ "Dawson", "John", "" ], [ "Habib", "Salman", "" ], [ "Ryne", "Robert D.", "" ] ]
quant-ph/9610014
H. Dieter Zeh
H. D. Zeh (University of Heidelberg, Germany)
What is achieved by decoherence?
10 pages, Latex
null
null
null
quant-ph gr-qc hep-ph
null
A short critical review of the concept of decoherence, its consequences, and its possible implications for the interpretation of quantum theory is given.
[ { "version": "v1", "created": "Thu, 10 Oct 1996 09:33:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Zeh", "H. D.", "", "University of Heidelberg, Germany" ] ]
quant-ph/9610015
Martin Plenio
M.B. Plenio and P.L. Knight (Imperial College, London, England)
Decoherence limits to quantum computation using trapped ions
23 pages + 11 pictures
Proc.Roy.Soc.Lond. A453 (1997) 2017-2041
10.1098/rspa.1997.0109
null
quant-ph
null
We investigate the problem of factorization of large numbers on a quantum computer which we imagine to be realized within a linear ion trap. We derive upper bounds on the size of the numbers that can be factorized on such a quantum computer. These upper bounds are independent of the power of the applied laser. We investigate two possible ways to implement qubits, in metastable optical transitions and in Zeeman sublevels of a stable ground state, and show that in both cases the numbers that can be factorized are not large enough to be of practical interest. We also investigate the effect of quantum error correction on our estimates and show that in realistic systems the impact of quantum error correction is much smaller than expected. Again no number of practical interest can be factorized.
[ { "version": "v1", "created": "Thu, 10 Oct 1996 18:45:47 GMT" } ]
2009-10-30T00:00:00
[ [ "Plenio", "M. B.", "", "Imperial College, London, England" ], [ "Knight", "P. L.", "", "Imperial College, London, England" ] ]
quant-ph/9610016
Vladimir Kisil
Oleg V. Prezhdo and Vladimir V. Kisil
Mixing Quantum and Classical Mechanics
31 pages, LaTeX2e
Phys.Rev. A56 (1997) 162-176
10.1103/PhysRevA.56.162
null
quant-ph funct-an math.FA
null
Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is antisymmetric and satisfies the Jacobi identity, and, therefore, leads to a natural description of interaction between quantum and classical degrees of freedom. We apply the formalism to coupled quantum and classical oscillators and show how various approximations, such as the mean-field and the multiconfiguration mean-field approaches, can be obtained from the quantum-classical equation of motion.
[ { "version": "v1", "created": "Fri, 11 Oct 1996 13:20:12 GMT" } ]
2009-10-30T00:00:00
[ [ "Prezhdo", "Oleg V.", "" ], [ "Kisil", "Vladimir V.", "" ] ]
quant-ph/9610017
Emily Kracklauer
A. F. Kracklauer
Dichotomic Functions and Bell's Theorems
4 pages, plain.tex, to appear in the Proceedings of the II Int. Symposium on Fundamental Problems in Quantum Physics, Kluwer AP
null
null
null
quant-ph
null
It is shown that correlations of dichotomic functions can not conform to results from Quantum Mechanics. Also, it is seen that the assumptions attendant to optical tests of Bell's Inequalities actually are consistent with classical physics so that in conclusion, Bell's Theorems do not preclude hidden variable interpretations of Quantum Mechanics.
[ { "version": "v1", "created": "Fri, 11 Oct 1996 16:15:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Kracklauer", "A. F.", "" ] ]
quant-ph/9610018
null
Y. S. Kim
Wavelets and Information-preserving Transformations
8 pages, latex, no figures; presented at the 3rd International Conference on Quantum Communications and Measurements (Fiji-Hakone Land, Japan, September, 1996), to be published in the Proceedings
null
null
null
quant-ph hep-th
null
The underlying mathematics of the wavelet formalism is a representation of the inhomogeneous Lorentz group or the affine group. Within the framework of wavelets, it is possible to define the ``window'' which allows us to introduce a Lorentz-covariant cut-off procedure. The window plays the central role in tackling the problem of photon localization. It is possible to make a transition from light waves to photons through the window. On the other hand, the windowed wave function loses analyticity. This loss of analyticity can be measured in terms of entropy difference. It is shown that this entropy difference can be defined in a Lorentz-invariant manner within the framework of the wavelet formalism.
[ { "version": "v1", "created": "Sun, 13 Oct 1996 22:08:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Kim", "Y. S.", "" ] ]
quant-ph/9610019
Bronius Kaulakys
B. Kaulakys
Quantum dynamics with intermediate measurements in agreement with the classical dynamics
5 pages, LaTex, no figures, to be published in Quantum Systems: New Trends and Methods, World Scientific, Proc. of the Intern. Workshop, Minsk, Belarus, June 3 - 7, 1996
null
null
null
quant-ph chao-dyn nlin.CD
null
The effect of repetitive measurement for quantum dynamics of driven by an intensive external force of the simple few-level systems as well as of the multilevel systems that exhibit the quantum localisation of classical chaos is investigated. Frequent measurement of the simple system yields to the quantum Zeno effect while that of the suppressed quantum system, which classical counterpart exhibits chaos, results in the delocalisation of the quantum suppression. From the analysis we may conclude that continuously observable quasiclassical system evolves essentially classically-like.
[ { "version": "v1", "created": "Mon, 14 Oct 1996 13:23:12 GMT" } ]
2008-02-03T00:00:00
[ [ "Kaulakys", "B.", "" ] ]
quant-ph/9610020
Marcelo Trindade dos Santos S.
M. Trindade dos Santos and M. C. Nemes
Quantum Corrections to the Classical Dynamics: Application to the SU(2) Lipkin Model
25 pages, LaTeX, 11 (new version) figures
null
null
IFUSP/P-1235
quant-ph chao-dyn hep-th nlin.CD
null
We show how nonrelativistic many body techniques can be used to study quantum corrections to the classical limit, in particular of the $SU(2)$ Lipkin Model. We show that the quantum corrections are essentially of two types: unitary and nonunitary. In this work we perform a detailed study of the unitary corrections. They can be cast in Hamiltonian form and are shown to double the number of degrees of freedom. As a consequence chaotic behavior emerges. We show that this semiquantal chaos is the mechanism trough which tunneling is effected. We also show that these corrections systematically improve the classical results and propose some quantitative measure of this improvement.
[ { "version": "v1", "created": "Mon, 14 Oct 1996 18:26:39 GMT" }, { "version": "v2", "created": "Tue, 15 Oct 1996 17:29:27 GMT" }, { "version": "v3", "created": "Wed, 16 Oct 1996 19:38:49 GMT" }, { "version": "v4", "created": "Fri, 18 Oct 1996 15:34:31 GMT" } ]
2008-02-03T00:00:00
[ [ "Santos", "M. Trindade dos", "" ], [ "Nemes", "M. C.", "" ] ]
quant-ph/9610021
Hong-Chen FU
Hong-Chen Fu and Ryu Sasaki
Hypergeometric States and Their Nonclassical Properties
17 pages, latex, 7 EPS figures
J.Math.Phys.38:2154-2166,1997
10.1063/1.531965
YITP-96-52
quant-ph
null
`Hypergeometric states', which are a one-parameter generalization of binomial states of the single-mode quantized radiation field, are introduced and their nonclassical properties are investigated. Their limits to the binomial states and to the coherent and number states are studied. The ladder operator formulation of the hypergeometric states is found and the algebra involved turns out to be a one-parameter deformation of $su(2)$ algebra. These states exhibit highly nonclassical properties, like sub-Poissonian character, antibunching and squeezing effects. The quasiprobability distributions in phase space, namely the $Q$ and the Wigner functions are studied in detail. These remarkable properties seem to suggest that the hypergeometric states deserve further attention from theoretical and applicational sides of quantum optics.
[ { "version": "v1", "created": "Wed, 16 Oct 1996 01:17:32 GMT" } ]
2008-11-26T00:00:00
[ [ "Fu", "Hong-Chen", "" ], [ "Sasaki", "Ryu", "" ] ]
quant-ph/9610022
Hong-Chen FU
Hong-Chen Fu and Ryu Sasaki
Negative Binomial and Multinomial States: probability distributions and coherent states
24 pages, latex, no figures
J.Math.Phys. 38 (1997) 3968-3987
10.1063/1.532102
YITP-96-53
quant-ph
null
Following the relationship between probability distribution and coherent states, for example the well known Poisson distribution and the ordinary coherent states and relatively less known one of the binomial distribution and the $su(2)$ coherent states, we propose ``interpretation'' of $su(1,1)$ and $su(r,1)$ coherent states ``in terms of probability theory''. They will be called the ``negative binomial'' (``multinomial'') ``states'' which correspond to the ``negative'' binomial (multinomial) distribution, the non-compact counterpart of the well known binomial (multinomial) distribution. Explicit forms of the negative binomial (multinomial) states are given in terms of various boson representations which are naturally related to the probability theory interpretation. Here we show fruitful interplay of probability theory, group theory and quantum theory.
[ { "version": "v1", "created": "Wed, 16 Oct 1996 01:59:50 GMT" } ]
2016-09-08T00:00:00
[ [ "Fu", "Hong-Chen", "" ], [ "Sasaki", "Ryu", "" ] ]
quant-ph/9610023
Chau Hoi Fung
H. F. Chau
Correcting Quantum Errors In Higher Spin Systems
In REVTEX 3.0, requires AMS fonts. Typos corrected. To appear in PRA (Rapid Comm.)
null
10.1103/PhysRevA.55.R839
HKUPHYS-HFC-01
quant-ph
null
I consider the theory of quantum error correcting code (QECC) where each quantum particle has more than two possible eigenstates. In this higher spin system, I report an explicit QECC that is related to the symmetry group ${\Bbb Z}_2^{\otimes (N-1)} \otimes S_N$. This QECC, which generalizes Shor's simple majority vote code, is able to correct errors arising from exactly one quantum particle. I also provide a simple encoding algorithm.
[ { "version": "v1", "created": "Wed, 16 Oct 1996 09:51:50 GMT" }, { "version": "v2", "created": "Sun, 1 Dec 1996 06:34:12 GMT" } ]
2009-10-30T00:00:00
[ [ "Chau", "H. F.", "" ] ]
quant-ph/9610024
Hong-Chen FU
Hong-Chen Fu and Ryu Sasaki
Negative Binomial States of Quantized Radiation Fields
10 pages, latex2e, 2 EPS figures
J.Phys.Soc.Jap.66:1989-1994,1997
10.1143/JPSJ.66.1989
YITP-96-54
quant-ph
null
We introduce the negative binomial states with negative binomial distribution as their photon number distribution. They reduce to the ordinary coherent states and Susskind-Glogower phase states in different limits. The ladder and displacement operator formalisms are found and they are essentially the Perelomov's su(1,1) coherent states via its Holstein-Primakoff realisation. These states exhibit strong squeezing effect and they obey the super-Poissonian statistics. A method to generate these states is proposed.
[ { "version": "v1", "created": "Thu, 17 Oct 1996 01:40:26 GMT" } ]
2008-11-26T00:00:00
[ [ "Fu", "Hong-Chen", "" ], [ "Sasaki", "Ryu", "" ] ]
quant-ph/9610025
Larry Horwitz
L.P. Horwitz, E. Eisenberg and Y. Strauss
Lax-Phillips Theory and Quantum Evolution
TeX, 16 pages. Proceedings of Quantum Structures '96 Berlin, July 29-Aug. 3, 1996, Technische Univ. Berlin. Report TAUP 2378-96
null
null
null
quant-ph
null
The scattering theory of Lax and Phillips, designed primarily for hyperbolic systems, such as electromagnetic or acoustic waves, is described. This theory provides a realization of the theorem of Foias and Nagy; there is a subspace of the Hilbert space in which the unitary evolution of the system, restricted to this subspace, is realized as a semigroup. The embedding of the quantum theory into this structure, carried out by Flesia and Piron, is reviewed. We show how the density matrix for an effectively pure state can evolve to an effectively mixed state (decoherence) in this framework. Necessary conditions are given for the realization of the relation between the spectrum of the generator of the semigroup and the singularities of the $S$-matrix (in energy representation). It is shown that these conditions may be met in the Liouville space formulation of quantum evolution, and in the Hilbert space of relativistic quantum theory.
[ { "version": "v1", "created": "Thu, 17 Oct 1996 10:29:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Horwitz", "L. P.", "" ], [ "Eisenberg", "E.", "" ], [ "Strauss", "Y.", "" ] ]
quant-ph/9610026
Paul Benioff
Paul Benioff (Argonne National Lab)
Tight Binding Hamiltonians and Quantum Turing Machines
4 pages Latex, 2 postscript figures, submitted to Phys Rev Letters
Phys.Rev.Lett.78:590-593,1997
10.1103/PhysRevLett.78.590
null
quant-ph cond-mat
null
This paper extends work done to date on quantum computation by associating potentials with different types of computation steps. Quantum Turing machine Hamiltonians, generalized to include potentials, correspond to sums over tight binding Hamiltonians each with a different potential distribution. Which distribution applies is determined by the initial state. An example, which enumerates the integers in succession as binary strings, is analyzed. It is seen that for some initial states the potential distributions have quasicrystalline properties and are similar to a substitution sequence.
[ { "version": "v1", "created": "Thu, 17 Oct 1996 15:21:21 GMT" } ]
2009-01-23T00:00:00
[ [ "Benioff", "Paul", "", "Argonne National Lab" ] ]
quant-ph/9610027
Dr. Luca Salasnich, . D.
Marko Robnik and Luca Salasnich
WKB to all orders and the accuracy of the semiclassical quantization
Latex, 11 pages, submitted to J. Phys. A
J.Phys.A30:1711-1718,1997
10.1088/0305-4470/30/5/031
Preprint CAMTP/96-5, University of Maribor
quant-ph hep-th nucl-th
null
We perform a systematic WKB expansion to all orders for a one-dimensional system with potential $V(x)=U_0/\cos^2{(\alpha x)}$. We are able to sum the series to the exact energy spectrum. Then we show that at any finite order the error of the WKB approximation measured in the natural units of the mean energy level spacing does not go to zero when the quantum number goes to infinity. Therefore we make the general conclusion that the semiclassical approximations fail to predict the individual energy levels within a vanishing fraction of the mean energy level spacing.
[ { "version": "v1", "created": "Fri, 18 Oct 1996 16:32:25 GMT" } ]
2016-09-08T00:00:00
[ [ "Robnik", "Marko", "" ], [ "Salasnich", "Luca", "" ] ]
quant-ph/9610028
Arkadiusz Jadczyk
Ph. Blanchard (Bielefeld) and A. Jadczyk (Wroclaw)
Relativistic Quantum Events
17 pages, Latex, submitted to Found.Phys
Found.Phys. 26 (1996) 1669-1681
10.1007/BF02282128
BiBoS 737/10/96
quant-ph
null
We extend the ideas of L.P. Horwitz and C. Piron and we propose a relativistic version of Event Enhanced Quantum Theory, with an event generating algorithm for spin one-half particle detectors. The algorithm is based on proper time formulation of the relativistic quantum theory. Although we use indefinite metric, all the probabilities controlling the random process of the detector clicks are non--negative.
[ { "version": "v1", "created": "Fri, 18 Oct 1996 18:23:22 GMT" } ]
2009-10-30T00:00:00
[ [ "Blanchard", "Ph.", "", "Bielefeld" ], [ "Jadczyk", "A.", "", "Wroclaw" ] ]
quant-ph/9610029
Haret Rosu
H.C. Rosu, J. Socorro
Note on the Demkov-Ostrovsky nodeless sector
6 pages, LaTex, 3 figs included
Nuovo Cimento B 113 (February 1998) 267-270
null
null
quant-ph
null
We briefly tackle the following concepts in the Demkov-Ostrovsky (DO) nodeless sector: (i) orbital impedance, (ii) orbital capacity, (iii) closeness to reflectionlessness. Moreover, using previous supersymmetric results for the DO problem, a strictly isospectral effect in the DO orbital impedances is discussed and explicit plots are displayed for the Maxwell fisheye lens. This effect, though rather small, is general, that is, it may apply to any focusing structure.
[ { "version": "v1", "created": "Sat, 19 Oct 1996 19:48:00 GMT" }, { "version": "v2", "created": "Tue, 22 Oct 1996 23:41:00 GMT" }, { "version": "v3", "created": "Wed, 23 Oct 1996 00:52:00 GMT" }, { "version": "v4", "created": "Sat, 25 Oct 1997 18:54:47 GMT" }, { "version": "v5", "created": "Fri, 17 Apr 1998 18:57:43 GMT" } ]
2008-02-03T00:00:00
[ [ "Rosu", "H. C.", "" ], [ "Socorro", "J.", "" ] ]
quant-ph/9610030
Peter Leifer
Peter Leifer
Superrelativity as a unification of quantum theory and relativity
21 pages,Latex
null
null
TAUP 10-96
quant-ph
null
Principle of ``Superrelativity'' has been proposed in order to avoid the contradiction between principle of relativity and foundations of quantum theory. Solutions of a newly derived non-linear Klein-Gordon equation presumably may be treated as primordial nonlocal elements of quantum theory. It is shown that in the framework of CP(N-1) model supplementary elements which are non-local in spacetime but local in the projective Hilbert space permit us to avoid at least one of the main difficulties of quantum theory-the necessity to relate the ``reality'' of a quantum state with a measuring process. In the framework of superrelativity the geometry of the projective Hilbert space (Fubini-Study metric and connection) together with the non-linear wave equation are full and closed quantum scheme.
[ { "version": "v1", "created": "Sun, 20 Oct 1996 21:03:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Leifer", "Peter", "" ] ]
quant-ph/9610031
Cassius D'Helon
C. D'Helon and G.J. Milburn
Correcting the effects of spontaneous emission on cold trapped ions
19 pages; 2 figures; RevTex; The quantum codewords are extended to achieve invariance under the conditional time evolution between jumps
null
10.1103/PhysRevA.56.640
null
quant-ph
null
We propose two quantum error correction schemes which increase the maximum storage time for qubits in a system of cold trapped ions, using a minimal number of ancillary qubits. Both schemes consider only the errors introduced by the decoherence due to spontaneous emission from the upper levels of the ions. Continuous monitoring of the ion fluorescence is used in conjunction with selective coherent feedback to eliminate these errors immediately following spontaneous emission events, and the conditional time evolution between quantum jumps is removed by symmetrizing the quantum codewords.
[ { "version": "v1", "created": "Mon, 21 Oct 1996 05:10:09 GMT" }, { "version": "v2", "created": "Mon, 13 Jan 1997 07:09:52 GMT" }, { "version": "v3", "created": "Mon, 19 May 1997 06:02:13 GMT" } ]
2009-10-30T00:00:00
[ [ "D'Helon", "C.", "" ], [ "Milburn", "G. J.", "" ] ]
quant-ph/9610032
Colin Wilkin
Goeran Faeldt, Colin Wilkin
Scattering Wave Functions at Bound State Poles
15 pages Latex. No graphs
null
10.1088/0031-8949/56/6/004
TSL/ISV-96-0152
quant-ph nucl-th
null
The normalisation relation between the bound and scattering S-state wave functions, extrapolated to the bound state pole, is derived from the Schroedinger equation. It is shown that, unlike previous work, the result does not depend on the details of the potential through the corresponding Jost function but is given uniquely in terms of the binding energy. The generalisations to higher partial waves and one-dimensional scattering are given.
[ { "version": "v1", "created": "Mon, 21 Oct 1996 09:21:25 GMT" } ]
2009-10-30T00:00:00
[ [ "Faeldt", "Goeran", "" ], [ "Wilkin", "Colin", "" ] ]
quant-ph/9610033
Lev Vaidman
Lev Vaidman
Interaction-Free Measurements
7 pages, LaTeX2e, multi3.sty, 5 eps figures
null
null
TAUP 2382-96
quant-ph
null
A brief review of interaction-free measurements (IFM) is presented. The IFM is a solution of a quantum puzzle: How to test a bomb which explodes on every test without exploding it? This paper was given in the Oxford conference in honor of Roger Penrose.
[ { "version": "v1", "created": "Mon, 21 Oct 1996 12:02:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Vaidman", "Lev", "" ] ]
quant-ph/9610034
Claudia C. Eberlein
Claudia Eberlein (Cavendish Lab, Cambridge, England)
Sonoluminescence as Quantum Vacuum Radiation, Reply to Comments
2 pages, Latex file
null
null
null
quant-ph
null
Reply to Comments by Lambrecht, Jaekel, and Reynaud, and by Garcia and Levanyuk, submitted to Physical Review Letters.
[ { "version": "v1", "created": "Mon, 21 Oct 1996 21:11:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Eberlein", "Claudia", "", "Cavendish Lab, Cambridge, England" ] ]
quant-ph/9610035
Walter T. Strunz
Walter T. Strunz
Linear quantum state diffusion for non-Markovian open quantum systems
9 pages, RevTeX, appears in Physics Letters A
null
10.1016/S0375-9601(96)00805-5
QMW-PH-96-17
quant-ph
null
We demonstrate the relevance of complex Gaussian stochastic processes to the stochastic state vector description of non-Markovian open quantum systems. These processes express the general Feynman-Vernon path integral propagator for open quantum systems as the classical ensemble average over stochastic pure state propagators in a natural way. They are the coloured generalization of complex Wiener processes in quantum state diffusion stochastic Schrodinger equations.
[ { "version": "v1", "created": "Tue, 22 Oct 1996 14:04:53 GMT" } ]
2009-10-30T00:00:00
[ [ "Strunz", "Walter T.", "" ] ]
quant-ph/9610036
Huw Price
Huw Price (University of Sydney)
Time Symmetry in Microphysics
10 pages, Latex. Draft of a paper for a symposium at the Biennial Meeting of the Philosophy of Science Association, Cleveland, Ohio, 1--3 November, 1996. Also available in html and rtf at http://plato.stanford.edu/price/preprints/PSA96.html
null
null
null
quant-ph
null
Physics takes for granted that interacting physical systems with no common history are independent, before their interaction. This principle is time-asymmetric, for no such restriction applies to systems with no common future, after an interaction. The time-asymmetry is normally attributed to boundary conditions. I argue that there are two distinct independence principles of this kind at work in contemporary physics, one of which cannot be attributed to boundary conditions, and therefore conflicts with the assumed T (or CPT) symmetry of microphysics. I note that this may have interesting ramifications in quantum mechanics.
[ { "version": "v1", "created": "Tue, 22 Oct 1996 23:16:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Price", "Huw", "", "University of Sydney" ] ]
quant-ph/9610037
Diosi Lajos
Lajos Diosi
Coherent States and the Measurement Problem
9pp PlainTeX, Eq.(3) and footnote [16] corrected
null
null
null
quant-ph
null
The convenience of coherent state representation is discussed from the viewpoint of what is in a broad sense called the measurement problem in quantum mechanics. Standard quantum theory in coherent state representation is intrinsically related to a number of earlier concepts conciliating quantum and classical processes. From a natural statistical interpretation, free of collapses or measurements, the usual von Neumann-L\"uders collapse as well as its quantum state diffusion interpretation follow. In particular, a theory of coupled quantum and classical dynamics arises, containing the fluctuation corrections versus the fenomenological mean-field theories.
[ { "version": "v1", "created": "Wed, 23 Oct 1996 12:19:49 GMT" }, { "version": "v2", "created": "Sat, 25 Jan 1997 17:22:06 GMT" } ]
2008-02-03T00:00:00
[ [ "Diosi", "Lajos", "" ] ]
quant-ph/9610038
Mauro Fortunato
M. Fortunato, G. Kurizki, and W. P. Schleich
Quantum Control of Chaos inside a Cavity
6 pages, 2 figures. Needs acta96.sty, also included in this submission. The two figures are included automatically through psfig.sty. Talk given by Mauro Fortunato at the 4th central-european workshop on quantum optics, Budmerice, Slovakia, May 31 - June 3, 1996
Acta Phys.Slov. 46 (1996) 381
null
null
quant-ph
null
By sending many two-level atoms through a cavity resonant with the atomic transition, and letting the interaction times between the atoms and the cavity be randomly distributed, we end up with a predetermined Fock state of the electromagnetic field inside the cavity if we perform after the interaction with the cavity a conditional measurement of the internal state of each atom in a coherent superposition of its ground and excited states. Differently from previous schemes, this procedure turns out to be very stable under fluctuations in the interaction times.
[ { "version": "v1", "created": "Wed, 23 Oct 1996 15:31:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Fortunato", "M.", "" ], [ "Kurizki", "G.", "" ], [ "Schleich", "W. P.", "" ] ]
quant-ph/9610039
Yosef Ashkenazy
E. Eisenberg and Y. Ashkenazy
A New Time-Scale for Tunneling
12 pages + 6 figures, RevTex
Found.Phys. 27 (1997) 191-202
10.1007/BF02550449
null
quant-ph
null
We study the tunneling through an oscillating delta barrier. Using time periodicity of the model, the time-dependent Schr\"odinger equation is reduced to a simple but infinite matrix equation. Employing Toeplitz matrices methods, the infinite matrix is replaces by a $3\times 3$ matrix, allowing an analytical solution. Looking at the frequency dependence of the transmissionamplitudes, one observes a new time scale which dominates the tunneling dynamics. This time scale differs from the one previously introduced by B\"uttiker and Landauer. The relation between these two is discussed.
[ { "version": "v1", "created": "Fri, 25 Oct 1996 10:54:46 GMT" }, { "version": "v2", "created": "Wed, 27 Nov 1996 17:48:39 GMT" } ]
2009-10-30T00:00:00
[ [ "Eisenberg", "E.", "" ], [ "Ashkenazy", "Y.", "" ] ]
quant-ph/9610040
Raymond LaFlamme
Peter Shor and Raymond Laflamme
Quantum MacWilliams Identities
3 pages in RevTex, the paper is also avalaible at http://qso.lanl.gov/qc/
null
null
LA-UR 96-3652
quant-ph
null
We derive a relationship between two different notions of fidelity (entanglement fidelity and average fidelity) for a completely depolarizing quantum channel. This relationship gives rise to a quantum analog of the MacWilliams identities in classical coding theory. These identities relate the weight enumerator of a code to the one of its dual and, with linear programming techniques, provided a powerful tool to investigate the possible existence of codes. The same techniques can be adapted to the quantum case. We give examples of their power.
[ { "version": "v1", "created": "Fri, 25 Oct 1996 21:32:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Shor", "Peter", "" ], [ "Laflamme", "Raymond", "" ] ]
quant-ph/9610041
Bronius Kaulakys
B. Kaulakys
Dynamical peculiarities of the nonlinear quasiclassical systems
4 pages, LaTeX
null
null
null
quant-ph chao-dyn nlin.CD
null
The quantum-classical correspondence for dynamics of the nonlinear classically chaotic systems is analysed. The problem of quantum chaos consists of two parts: the quasiclassical quantisation of the chaotic systems and attempts to understand the classical chaos in terms of quantum mechanics. The first question has been partially solved by the Gutzwiller semiclassical trace formula for the eigenvalues of chaotic systems, while the classical chaos may be derived from quantum equations only introducing the decoherence process due to interaction with system's environment or intermediate frequent measurement. We may conclude that continuously observable quasiclassical system evolves essentially classically-like.
[ { "version": "v1", "created": "Mon, 28 Oct 1996 13:28:30 GMT" } ]
2008-02-03T00:00:00
[ [ "Kaulakys", "B.", "" ] ]
quant-ph/9610042
Markus Grassl
Markus Grassl (1), Thomas Beth (1), Thomas Pellizzari (2) ((1) Universitaet Karlsruhe, (2) Universitaet Innsbruck)
Codes for the Quantum Erasure Channel
6 pages, RevTeX, no figures, submitted to Physical Review A, code extended to encode 2 qubits, references added
Phys. Rev. A, vol. 56, no. 1, July 1997, pp. 33-38
10.1103/PhysRevA.56.33
null
quant-ph
null
The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i. e., arbitrary errors at known positions. We show that four qubits are necessary and sufficient to encode one qubit and correct one erasure, in contrast to five qubits for unknown positions. Moreover, a family of quantum codes for the QEC, the quantum BCH codes, that can be efficiently decoded is introduced.
[ { "version": "v1", "created": "Mon, 28 Oct 1996 10:56:53 GMT" }, { "version": "v2", "created": "Fri, 17 Jan 1997 13:28:26 GMT" } ]
2009-10-30T00:00:00
[ [ "Grassl", "Markus", "" ], [ "Beth", "Thomas", "" ], [ "Pellizzari", "Thomas", "" ] ]
quant-ph/9610043
Isaac Chuang
I. L. Chuang, Debbie W. Leung, and Yoshihisa Yamamoto
Bosonic Quantum Codes for Amplitude Damping
12 pages, 3 figures, psfig, revtex, submitted to Phys. Rev. A
null
10.1103/PhysRevA.56.1114
null
quant-ph
null
Traditional quantum error correction involves the redundant encoding of k quantum bits using n quantum bits to allow the detection and correction of any t bit error. The smallest general t=1 code requires n=5 for k=1. However, the dominant error process in a physical system is often well known, thus inviting the question: given a specific error model, can more efficient codes be devised? We demonstrate new codes which correct just amplitude damping errors which allow, for example, a t=1, k=1 code using effectively n=4.6. Our scheme is based on using bosonic states of photons in a finite number of optical modes. We present necessary and sufficient conditions for the codes, and describe construction algorithms, physical implementation, and performance bounds.
[ { "version": "v1", "created": "Tue, 29 Oct 1996 09:00:25 GMT" } ]
2009-10-30T00:00:00
[ [ "Chuang", "I. L.", "" ], [ "Leung", "Debbie W.", "" ], [ "Yamamoto", "Yoshihisa", "" ] ]
quant-ph/9610044
Daniel Rohrlich
Sandu Popescu and Daniel Rohrlich
Thermodynamics and the Measure of Entanglement
8 pages, RevTeX; edited for clarity, additional references, to appear as a Rapid Communication in Phys. Rev. A
null
10.1103/PhysRevA.56.R3319
TAUP 2385-96
quant-ph
null
We point out formal correspondences between thermodynamics and entanglement. By applying them to previous work, we show that entropy of entanglement is the unique measure of entanglement for pure states.
[ { "version": "v1", "created": "Tue, 29 Oct 1996 20:06:48 GMT" }, { "version": "v2", "created": "Thu, 11 Sep 1997 21:43:13 GMT" } ]
2009-10-30T00:00:00
[ [ "Popescu", "Sandu", "" ], [ "Rohrlich", "Daniel", "" ] ]
quant-ph/9610045
Toshifumi Sakaguchi
Toshifumi Sakaguchi
On the EPR Phenomenon
6 pages, REVTeX, no figures
null
null
null
quant-ph
null
The origin of the nonlocal nature of quantum mechanics is investigated in the context of Everett's formulation of quantum mechanics. EPR phenomenon can fully be explained without introducing any kind of decoherence.
[ { "version": "v1", "created": "Wed, 30 Oct 1996 05:17:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Sakaguchi", "Toshifumi", "" ] ]
quant-ph/9610046
Tommaso Calarco
Tommaso Calarco (Dipartimento di fisica - INFN, Ferrara, Italy) and Roberto Onofrio (Dipartimento di fisica - INFN, Padova, Italy)
Quantum nondemolition measurements on two-level atomic systems and temporal Bell inequalities
7 pages, 2 figures, to appear in Appl. Phys. B
null
10.1007/s003400050158
null
quant-ph
null
The evolution of a two-level system subjected to stimulated transitions which is undergoing a sequence of measurements of the level occupation probability is evaluated. Its time correlation function is compared to the one obtained through the pure Schroedinger evolution. Systems of this kind have been recently proposed for testing the quantum mechanical predictions against those of macrorealistic theories, by means of temporal Bell inequalities. The classical requirement of noninvasivity, needed to define correlation functions in the realistic case, finds a quantum counterpart in the quantum nondemolition condition. The consequences on the observability of quantum mechanically predicted violations to temporal Bell inequalities are drawn and compared to the already dealt case of the rf-SQUID dynamics.
[ { "version": "v1", "created": "Thu, 31 Oct 1996 12:48:40 GMT" } ]
2009-10-30T00:00:00
[ [ "Calarco", "Tommaso", "", "Dipartimento di fisica - INFN, Ferrara, Italy" ], [ "Onofrio", "Roberto", "", "Dipartimento di fisica - INFN, Padova, Italy" ] ]
quant-ph/9611001
null
E. M. Rains (AT&T Research)
Quantum shadow enumerators
AMSTeX, 10 pages, no figures, submitted to IEEE Trans. Inf. Theory Updated 2/19/97 to reflect strengthening of the n/6 bound to impure codes, as well as minor typographical changes and bibliographical updates
IEEE Trans.Info.Theor. 45 (1999) 2361-2366
null
null
quant-ph
null
In a recent paper [quant-ph/9610040], Shor and Laflamme define two ``weight enumerators'' for quantum error correcting codes, connected by a MacWilliams transform, and use them to give a linear-programming bound for quantum codes. We extend their work by introducing another enumerator, based on the classical theory of shadow codes, that tightens their bounds significantly. In particular, nearly all of the codes known to be optimal among additive quantum codes (codes derived from orthogonal geometry ([quant-ph/9608006])) can be shown to be optimal among all quantum codes. We also use the shadow machinery to extend a bound on additive codes (E. M. Rains, manuscript in preparation) to general codes, obtaining as a consequence that any code of length n can correct at most floor((n+1)/6) errors.
[ { "version": "v1", "created": "Fri, 1 Nov 1996 16:30:00 GMT" }, { "version": "v2", "created": "Wed, 19 Feb 1997 14:50:31 GMT" } ]
2008-02-03T00:00:00
[ [ "Rains", "E. M.", "", "AT&T Research" ] ]
quant-ph/9611002
Todd Brun
Nicolas Gisin (Group of Applied Physics, University of Geneva) Todd A. Brun (Institute for Theoretical Physics, UCSB) Marco Rigo (Maths Department, Royal Holloway College, London)
From Quantum to Classical: the Quantum State Diffusion Model
6 pages standard LaTeX + 2 figures (postscript) To appear in the Proceedings of the 2nd International Conference on Fundamental Problems in Quantum Physics, Oviedo, Spain, 1996
null
null
null
quant-ph
null
Quantum mechanics is nonlocal. Classical mechanics is local. Consequently classical mechanics can not explain all quantum phenomena. Conversely, it is cumbersome to use quantum mechanics to describe classical phenomena. Not only are the computations more complex, but - and this is the main point - it is conceptually more difficult: one has to argue that nonlocality, entanglement and the principle of superposition can be set aside when crossing the "quantum $\rightarrow$ classical" border. Clearly, nonlocality, entanglement and the principle of superposition should become irrelevant in the classical limit. But why should one argue? Shouldn't it just come out of the equations? Does it come out of the equations? This contribution is about the last question. And the answer is: "it depends on which equation".
[ { "version": "v1", "created": "Fri, 1 Nov 1996 19:13:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Gisin", "Nicolas", "", "Group of Applied Physics, University of Geneva" ], [ "Brun", "Todd A.", "", "Institute for Theoretical Physics, UCSB" ], [ "Rigo", "Marco", "", "Maths Department,\n Royal Holloway College, London" ] ]
quant-ph/9611003
Hong-Chen FU
Hong-Chen Fu and Ryu Sasaki
Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator
21 pages, latex, no figures
J.Phys.A29:4049,1996
10.1088/0305-4470/29/14/027
null
quant-ph
null
The generally deformed oscillator (GDO) and its multiphoton realization as well as the coherent and squeezed vacuum states are studied. We discuss, in particular, the GDO depending on a complex parameter q (therefore we call it q-GDO) together with the finite dimensional cyclic representations. As a realistic physical system of GDO the isospectral oscillator system is studied and it is found that its coherent and squeezed vacuum states are closely related to those of the oscillator. It is pointed out that starting from the q-GDO with q root of unity one can define the hermitian phase operators in quantum optics consistently and algebraically. The new creation and annihilation operators of the Pegg-Barnett type phase operator theory are defined by using the cyclic representations and these operators degenerate to those of the ordinary oscillator in the classical limit q->1.
[ { "version": "v1", "created": "Sat, 2 Nov 1996 03:36:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Fu", "Hong-Chen", "" ], [ "Sasaki", "Ryu", "" ] ]
quant-ph/9611004
Tad Hogg
Tad Hogg
A Framework for Quantum Search Heuristics
8 pages, Latex, 5 figures, to appear at PhysComp96, further information available at ftp://parcftp.xerox.com/pub/dynamics/quantum.html
Proc. of the Workshop on Physics and Computation (PhysComp96), pp. 140-146 (1996)
null
null
quant-ph
null
A quantum algorithm for combinatorial search is presented that provides a simple framework for utilizing search heuristics. The algorithm is evaluated in a new case that is an unstructured version of the graph coloring problem. It performs significantly better than the direct use of quantum parallelism, on average, in cases corresponding to previously identified phase transitions in search difficulty. The conditions underlying this improvement are described. Much of the algorithm is independent of particular problem instances, making it suitable for implementation as a special purpose device.
[ { "version": "v1", "created": "Mon, 4 Nov 1996 18:55:24 GMT" } ]
2009-10-06T00:00:00
[ [ "Hogg", "Tad", "" ] ]
quant-ph/9611005
David Meyer
David A. Meyer
Quantum mechanics of lattice gas automata. I. One particle plane waves and potentials
19 pages, plain TeX, 14 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages), two additional large figures available upon request
null
10.1103/PhysRevE.55.5261
null
quant-ph comp-gas nlin.CG
null
Classical lattice gas automata effectively simulate physical processes such as diffusion and fluid flow (in certain parameter regimes) despite their simplicity at the microscale. Motivated by current interest in quantum computation we recently defined quantum lattice gas automata; in this paper we initiate a project to analyze which physical processes these models can effectively simulate. Studying the single particle sector of a one dimensional quantum lattice gas we find discrete analogues of plane waves and wave packets, and then investigate their behaviour in the presence of inhomogeneous potentials.
[ { "version": "v1", "created": "Tue, 5 Nov 1996 00:44:09 GMT" } ]
2009-10-30T00:00:00
[ [ "Meyer", "David A.", "" ] ]
quant-ph/9611006
Christopher A. Fuchs
Charles H. Bennett, Christopher A. Fuchs, and John A. Smolin
Entanglement-Enhanced Classical Communication on a Noisy Quantum Channel
10 pages, LaTeX, to appear in Proceedings of the 3rd International Workshop on Quantum Communication and Measurement; See also http://vesta.physics.ucla.edu/~smolin/
null
null
null
quant-ph
null
We consider the problem of trying to send a single classical bit through a noisy quantum channel when two transmissions through the channel are available as a resource. Classically, two transmissions add nothing to the receiver's capability of inferring the bit. In the quantum world, however, one has the possible further advantage of entangling the two transmissions. We demonstrate that, for certain noisy channels, such entangled transmissions enhance the receiver's capability of a correct inference.
[ { "version": "v1", "created": "Tue, 5 Nov 1996 04:24:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Bennett", "Charles H.", "" ], [ "Fuchs", "Christopher A.", "" ], [ "Smolin", "John A.", "" ] ]
quant-ph/9611007
Imafuku Kentaro
Kentaro Imafuku (Department of Physics, Waseda University), Ichiro Ohba (Department of Physics, Waseda University) and Yoshiya Yamanaka (Waseda University Senior High School)
Effects of Inelastic Scattering on Tunneling Time in Generalized Nelson's Quantum Mechanics
25 pages, 10 Postscript figures
null
null
WU-HEP-96-8
quant-ph
null
We analyze the effects of inelastic scattering on the tunneling time theoretically, using generalized Nelson's quantum mechanics. This generalization enables us to describe quantum system with optical potential and channel couplings in a real time stochastic approach, which seems to give us a new insight into quantum mechanics beyond Copenhagen interpretation.
[ { "version": "v1", "created": "Wed, 6 Nov 1996 04:06:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Imafuku", "Kentaro", "", "Department of Physics, Waseda University" ], [ "Ohba", "Ichiro", "", "Department of Physics, Waseda University" ], [ "Yamanaka", "Yoshiya", "", "Waseda\n University Senior High School" ] ]
quant-ph/9611008
James R. Anglin
James Anglin
Cold, dilute, trapped bosons as an open quantum system
4 pages, RevTeX twocolumn style
Phys.Rev.Lett. 79 (1997) 6-9
10.1103/PhysRevLett.79.6
LA-UR 96-3873
quant-ph cond-mat.stat-mech
null
We present a master equation governing the reduced density operator for a single trapped mode of a cold, dilute, weakly interacting Bose gas; and we obtain an operator fluctuation-dissipation relation in which the Ginzburg-Landau effective potential plays a physically transparent role. We also identify a decoherence effect that tends to preserve symmetry, even when the effective potential has a ``Mexican hat'' form.
[ { "version": "v1", "created": "Wed, 6 Nov 1996 22:15:44 GMT" } ]
2009-10-30T00:00:00
[ [ "Anglin", "James", "" ] ]
quant-ph/9611009
Werner Hofer
W. A. Hofer (TU Wien)
Beyond Uncertainty: the internal structure of electrons and photons
24 pages (RevTeX, twocolumn) and 2 figures (eps). Modifications and additions in section IV/K (particle spin) to improve on readability and conciseness (only verbal)
null
null
null
quant-ph hep-th
null
The wave-structure of moving electrons is analyzed on a fundamental level by employing a modified de Broglie relation. Formalizing the wave-function $\psi$ in real notation yields internal energy components due to mass oscillations. The wave-features can then be referred to physical waves of discrete frequency $\nu$ and the classical dispersion relation $\lambda \nu = u $, complying with the classical wave equation. Including external potentials yields the Schr\"odinger equation, which, in this context, is arbitrary due to the internal energy components. It can be established that the uncertainty relations are an expression of this, fundamental, arbitrariness. Electrons and photons can be described by an identical formalism, providing formulations equivalent to the Maxwell equations. The wave equations of intrinsic particle properties are Lorentz invariant considering total energy of particles, although transformations into a moving reference frame lead to an increase of intrinsic potentials. Interactions of photons and electrons are treated extensively, the results achieved are equivalent to the results in quantum theory. Electrostatic interactions provide, a posteriori, a justification for the initial assumption of electron-wave stability: the stability of electron waves can be referred to vanishing intrinsic fields of interaction. The concept finally allows the conclusion that a significant correlation for a pair of spin particles in EPR--like measurements is likely to violate the uncertainty relations.
[ { "version": "v1", "created": "Thu, 7 Nov 1996 18:26:33 GMT" }, { "version": "v2", "created": "Thu, 28 Nov 1996 14:00:40 GMT" }, { "version": "v3", "created": "Thu, 17 Apr 1997 08:38:48 GMT" } ]
2008-02-03T00:00:00
[ [ "Hofer", "W. A.", "", "TU Wien" ] ]
quant-ph/9611010
Christopher Fuchs
Christopher A. Fuchs
Information Gain vs. State Disturbance in Quantum Theory
19 pages, LaTeX, requires pac96sty.tex. Full paper submitted to PhysComp96, eventually to appear in special issue of Physica D
null
null
BOCK-1
quant-ph
null
The engine that powers quantum cryptography is the principle that there are no physical means for gathering information about the identity of a quantum system's state (when it is known to be prepared in one of a set of nonorthogonal states) without disturbing the system in a statistically detectable way. This situation is often mistakenly described as a consequence of the ``Heisenberg uncertainty principle.'' A more accurate account is that it is a unique feature of quantum phenomena that rests ultimately on the Hilbert space structure of the theory along with the fact that time evolutions for isolated systems are unitary. In this paper we shall explore several aspects of the information--disturbance principle in an attempt to make it firmly quantitative and flesh out its significance for quantum theory as a whole.
[ { "version": "v1", "created": "Thu, 7 Nov 1996 16:33:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Fuchs", "Christopher A.", "" ] ]
quant-ph/9611011
Asher Peres
David P. DiVincenzo and Asher Peres
Quantum codewords contradict local realism
9 pages LaTeX, 1 figure
Phys.Rev.A55:4089,1997
10.1103/PhysRevA.55.4089
null
quant-ph
null
Quantum codewords are highly entangled combinations of two-state systems. The standard assumptions of local realism lead to logical contradictions similar to those found by Bell, Kochen and Specker, Greenberger, Horne and Zeilinger, and Mermin. The new contradictions have some noteworthy features that did not appear in the older ones.
[ { "version": "v1", "created": "Fri, 8 Nov 1996 20:07:38 GMT" } ]
2008-12-18T00:00:00
[ [ "DiVincenzo", "David P.", "" ], [ "Peres", "Asher", "" ] ]
quant-ph/9611012
Boris F. Samsonov
Boris F. Samsonov
New features in supersymmetry breakdown in quantum mechanics
5 pages, latex, amsfonts
Mod.Phys.Lett. A11 (1996) 1563-1567
10.1142/S0217732396001557
null
quant-ph
null
The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is considered.
[ { "version": "v1", "created": "Sun, 10 Nov 1996 05:49:50 GMT" } ]
2015-06-26T00:00:00
[ [ "Samsonov", "Boris F.", "" ] ]
quant-ph/9611013
Juan Fernando Poyatos
J. F. Poyatos, J. I. Cirac (Departamento de Fisica Aplicada, Universidad de Castilla--La Mancha, Ciudad Real, Spain), P. Zoller (Institut fuer Theoretische Physik, Universitaet Innsbruck, Austria)
Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
Accepted for publication in Physical Review Letters 08Nov96 (submitted 15Jly96)
null
10.1103/PhysRevLett.78.390
null
quant-ph
null
We show how to fully characterize a quantum process in an open quantum system. We particularize the procedure to the case of a universal two-qubit gate in a quantum computer. We illustrate the method with a numerical simulation of a quantum gate in the ion trap quantum computer.
[ { "version": "v1", "created": "Sun, 10 Nov 1996 10:56:29 GMT" } ]
2009-10-30T00:00:00
[ [ "Poyatos", "J. F.", "", "Departamento de Fisica Aplicada,\n Universidad de Castilla--La Mancha, Ciudad Real, Spain" ], [ "Cirac", "J. I.", "", "Departamento de Fisica Aplicada,\n Universidad de Castilla--La Mancha, Ciudad Real, Spain" ], [ "Zoller", "P.", "", "Institut\n fuer Theoretische Physik, Universitaet Innsbruck, Austria" ] ]
quant-ph/9611014
Arvind
Arvind, N. Mukunda (Indian Institute of Science, Bangalore, India) and R. Simon (Institute of Mathematical Sciences, Madras, India)
Gaussian Wigner distributions and hierarchies of nonclassical states in quantum optics-The single mode case
11 Pages Revtex one eps figure. Replaced with minor changes in refs
Phys.Rev.A56:5042-5052,1997
10.1103/PhysRevA.56.5042
null
quant-ph
null
A recently introduced hierarchy of states of a single mode quantised radiation field is examined for the case of centered Guassian Wigner distributions. It is found that the onset of squeezing among such states signals the transition to the strongly nonclassical regime. Interesting consequences for the photon number distribution, and explicit representations for them, are presented.
[ { "version": "v1", "created": "Sun, 10 Nov 1996 12:15:11 GMT" }, { "version": "v2", "created": "Mon, 18 Nov 1996 10:31:25 GMT" } ]
2008-12-18T00:00:00
[ [ "Arvind", "", "", "Indian Institute of Science, Bangalore, India" ], [ "Mukunda", "N.", "", "Indian Institute of Science, Bangalore, India" ], [ "Simon", "R.", "", "Institute of Mathematical Sciences, Madras, India" ] ]
quant-ph/9611015
Riccardo Giannitrapani
Riccardo Giannitrapani
Positive-Operator-Valued Time Observable in Quantum Mechanics
13 pages, LaTeX, no figures. Some minor changes, expanded the bibliography (now it is bigger than the one in the published version), changed the title and the style for publication on the International Journal of Theoretical Physics
International Journal of Theoretical Physics 36, 1575 (1997)
10.1007/BF02435757
UTF-390
quant-ph gr-qc
null
We examine the longstanding problem of introducing a time observable in Quantum Mechanics; using the formalism of positive-operator-valued measures we show how to define such an observable in a natural way and we discuss some consequences.
[ { "version": "v1", "created": "Mon, 11 Nov 1996 08:54:52 GMT" }, { "version": "v2", "created": "Fri, 13 Feb 1998 10:08:04 GMT" }, { "version": "v3", "created": "Sun, 22 Feb 1998 12:45:32 GMT" } ]
2009-10-30T00:00:00
[ [ "Giannitrapani", "Riccardo", "" ] ]
quant-ph/9611016
Daniel I. Fivel
Daniel I. Fivel
A Dynamical Reduction Theory of Einstein-Podolsky-Rosen Correlations and a Possible Origin of CP Violations
30 pages, 0 figures, LaTeX
null
10.1103/PhysRevA.56.146
null
quant-ph
null
We show that there is essentially only one way to construct a stochastic Schrodinger equation that gives a dynamical account of the transformation of entangled into factorized states and is consistent both with quantum mechanics and required symmetries. The noisy, non-linear term is a unimodular scalar multiple of the time reversal operator that must be present whenever a Hamiltonian term in the Schrodinger equation can distinguish the factorized constituents of an entangled state. The dynamical mechanism involved in the transformation of entangled into factorized states provides an explanation for the fact that Einstein-Podolsky-Rosen correlations appear in a time determined by the response of the measuring device and independent of the distance between the particles. The dependence on the response time of the measuring device may be testable through a delay in observing the collapse of mesoscopic ``Schrodinger cat" states in ion traps. It is further shown that there are situations where a two-particle interaction can induce a non-linear term by virtue of coupling to decay modes that distinguish factorized constituents of an entangled state. We show that this should happen in the neutral K-meson system where the entangled $K_L$ state is pushed slightly in the direction of a factorized constituent ($K_o$ or $\overline{K_o}$) as a consequence of the fact that these can be distinguished via the sign of the charged lepton in a semi-leptonic decay mode. The result is a CP violation that is within 20% of the experimental value.
[ { "version": "v1", "created": "Tue, 12 Nov 1996 02:57:41 GMT" } ]
2009-10-30T00:00:00
[ [ "Fivel", "Daniel I.", "" ] ]
quant-ph/9611017
Hideo Mabuchi
J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi
Quantum state transfer and entanglement distribution among distant nodes in a quantum network
4 pages, 3 postscript figures
null
10.1103/PhysRevLett.78.3221
null
quant-ph
null
We propose a scheme to utilize photons for ideal quantum transmission between atoms located at spatially-separated nodes of a quantum network. The transmission protocol employs special laser pulses which excite an atom inside an optical cavity at the sending node so that its state is mapped into a time-symmetric photon wavepacket that will enter a cavity at the receiving node and be absorbed by an atom there with unit probability. Implementation of our scheme would enable reliable transfer or sharing of entanglement among spatially distant atoms.
[ { "version": "v1", "created": "Tue, 12 Nov 1996 19:15:50 GMT" } ]
2009-10-30T00:00:00
[ [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ], [ "Kimble", "H. J.", "" ], [ "Mabuchi", "H.", "" ] ]
quant-ph/9611018
Giuseppe Iannaccone
G. Iannaccone
Weak measurement and the traversal time problem
Talk given at the Adriatico Research Conference on ``Tunnelling and its implications'', 30 July--2 August 1996, ICTP, Trieste
null
null
null
quant-ph
null
The theory of weak measurement, proposed by Aharonov and coworkers, has been applied by Steinberg to the long-discussed traversal time problem. The uncertainty and ambiguity that characterize this concept from the perspective of von Neumann measurement theory apparently vanish, and joint probabilities and conditional averages become meaningful concepts. We express the Larmor clock and some other well-known methods in the weak measurement formalism. We also propose a method to determine higher moments of the traversal time distribution in terms of the outcome of a gedanken experiment, by introducing an appropriate operator. Since the weak measurement approach can sometimes lead to unphysical results, for example average negative reflection times and higher moments, the interpretation of the results obtained remains an open problem.
[ { "version": "v1", "created": "Wed, 13 Nov 1996 09:08:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Iannaccone", "G.", "" ] ]
quant-ph/9611019
Boris F. Samsonov
Boris F. Samsonov
Time-dependent parasupersymmetry in quantum mechanics
11pages, latex, amsfonts, no figures
Mod.Phys.Lett. A11 (1996) 2095-2104
10.1142/S0217732396002083
null
quant-ph
null
Parasupersymmetry of the one dimensional time-dependent Schr\"odinger equation is established. It is intimately connected with a chain of the time-dependent Darboux transformations. As an example a parasupersymmetric model of nonrelativistic free particle with threefold degenerate discrete spectrum of an integral of motion is constructed.
[ { "version": "v1", "created": "Wed, 13 Nov 1996 09:32:05 GMT" } ]
2015-06-26T00:00:00
[ [ "Samsonov", "Boris F.", "" ] ]
quant-ph/9611020
Dirk Sondermann
Almut Beige, Gerhard C. Hegerfeldt
Quantum Zeno Effect and Light-Dark Periods for a Single Atom
16 pages, LaTeX, a4.sty; to appear in J. Phys. A
J.Phys.A30:1323-1334,1997
10.1088/0305-4470/30/4/031
null
quant-ph
null
The quantum Zeno effect (QZE) predicts a slow-down of the time development of a system under rapidly repeated ideal measurements, and experimentally this was tested for an ensemble of atoms using short laser pulses for non-selective state measurements. Here we consider such pulses for selective measurements on a single system. Each probe pulse will cause a burst of fluorescence or no fluorescence. If the probe pulses were strictly ideal measurements, the QZE would predict periods of fluorescence bursts alternating with periods of no fluorescence (light and dark periods) which would become longer and longer with increasing frequency of the measurements. The non-ideal character of the measurements is taken into account by incorporating the laser pulses in the interaction, and this is used to determine the corrections to the ideal case. In the limit, when the time between the laser pulses goes to zero, no freezing occurs but instead we show convergence to the familiar macroscopic light and dark periods of the continuously driven Dehmelt system. An experiment of this type should be feasible for a single atom or ion in a trap
[ { "version": "v1", "created": "Wed, 13 Nov 1996 17:53:37 GMT" } ]
2008-11-26T00:00:00
[ [ "Beige", "Almut", "" ], [ "Hegerfeldt", "Gerhard C.", "" ] ]
quant-ph/9611021
Tad Hogg
Tad Hogg and J. Geoffrey Chase
Quantum Smart Matter
15 pages, Latex, 3 figures, this is an extended version of a paper to appear at PhysComp96, further info available at ftp://parcftp.xerox.com/pub/dynamics/quantum.html
Proc. of the Workshop on Physics and Computation (PhysComp96), pp. 147-152 (1996)
null
null
quant-ph cond-mat
null
The development of small-scale sensors and actuators enables the construction of smart matter in which physical properties of materials are controlled in a distributed manner. In this paper, we describe how quantum computers could provide an additional capability, programmable control over some quantum behaviors of such materials. This emphasizes the need for spatial coherence, in contrast to the more commonly discussed issue of temporal coherence for quantum computing. We also discuss some possible applications and engineering issues involved in exploiting this possibility.
[ { "version": "v1", "created": "Wed, 13 Nov 1996 19:48:12 GMT" } ]
2009-10-06T00:00:00
[ [ "Hogg", "Tad", "" ], [ "Chase", "J. Geoffrey", "" ] ]
quant-ph/9611022
John K. Breslin
J. K. Breslin (1), C. A. Holmes (2) and G. J. Milburn (1) ((1) Physics Department, (2) Mathematics Department, University of Queensland)
Quantum signatures of chaos in the dynamics of a trapped ion
9 pages, 9 Postscript figures, Revtex, submitted to Phys. Rev. A
null
10.1103/PhysRevA.56.3022
null
quant-ph
null
We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme [G.J.Milburn and C.A.Holmes, Phys. Rev A, 44, p4704, (1991)], the trapped ion enables strongly quantum dynamics with minimal dissipation. This should permit an experimental test of one of the quantum signatures of chaos; irregular collapse and revival dynamics of the average vibrational energy.
[ { "version": "v1", "created": "Thu, 14 Nov 1996 06:32:47 GMT" } ]
2009-10-30T00:00:00
[ [ "Breslin", "J. K.", "" ], [ "Holmes", "C. A.", "" ], [ "Milburn", "G. J.", "" ] ]
quant-ph/9611023
Alexander S. Holevo
A.S.Holevo (Steklov Mathematical Institute)
The Capacity of Quantum Channel with General Signal States
8 pages, Latex, no figures, to be published in IEEE Trans. Inform. Theory
IEEE Trans.Info.Theor. 44 (1998) 269-273
null
null
quant-ph
null
It is shown that the capacity of a classical-quantum channel with arbitrary (possibly mixed) states equals to the maximum of the entropy bound with respect to all apriori distributions. This completes the recent result of Hausladen, Jozsa, Schumacher, Westmoreland and Wooters, who proved the equality for the pure state channel.
[ { "version": "v1", "created": "Thu, 14 Nov 1996 11:50:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Holevo", "A. S.", "", "Steklov Mathematical Institute" ] ]
quant-ph/9611024
prof. Shmuel Nussinov
S. Nussinov
Realistic experiments for measuring the wave function of a single particle
LaTeX, 19 pages, 1 epsfig
Found.Phys. 28 (1998) 865-880
10.1016/S0370-2693(97)01114-3
TAUP 2392-96
quant-ph
null
We suggest scattering experiments which implement the concept of ``protective measurements'' allowing the measurement of the complete wave function even when only one quantum system (rather than an ensemble) is available. Such scattering experiments require massive, slow, projectiles with kinetic energies lower than the first excitation of the system in question. The results of such experiments can have a (probabilistic) distribution (as is the case when the Born approximation for the scattering is valid) or be deterministic (in a semi-classical limit).
[ { "version": "v1", "created": "Thu, 14 Nov 1996 10:15:17 GMT" } ]
2009-10-30T00:00:00
[ [ "Nussinov", "S.", "" ] ]
quant-ph/9611025
Dorit Aharonov
Dorit Aharonov (Physics and computer science, Hebrew Univ.) and Michael Ben-Or (Computer science, Hebrew univ.)
Fault Tolerant Quantum Computation with Constant Error
18 pages, now includes bibliography
null
null
null
quant-ph
null
Recently Shor showed how to perform fault tolerant quantum computation when the error probability is logarithmically small. We improve this bound and describe fault tolerant quantum computation when the error probability is smaller than some constant threshold. The cost is polylogarithmic in time and space, and no measurements are used during the quantum computation. The result holds also for quantum circuits which operate on nearest neighbors only. To achieve this noise resistance, we use concatenated quantum error correcting codes. The scheme presented is general, and works with all quantum codes that satisfy some restrictions, namely that the code is ``proper''. We present two explicit classes of proper quantum codes. The first example of proper quantum codes generalizes classical secret sharing with polynomials. The second uses a known class of quantum codes and converts it to a proper code. This class is defined over a field with p elements, so the elementary quantum particle is not a qubit but a ``qupit''. With our codes, the threshold is about 10^(-6). Hopefully, this paper motivates a search for proper quantum codes with higher thresholds, at which point quantum computation becomes practical.
[ { "version": "v1", "created": "Thu, 14 Nov 1996 11:44:10 GMT" }, { "version": "v2", "created": "Fri, 15 Nov 1996 10:57:42 GMT" } ]
2008-02-03T00:00:00
[ [ "Aharonov", "Dorit", "", "Physics and computer science, Hebrew Univ." ], [ "Ben-Or", "Michael", "", "Computer science, Hebrew univ." ] ]
quant-ph/9611026
Mike Ashworth
M. C. Ashworth
Coherent State Approach to Time Reparameterization Invariant Systems
null
Phys.Rev. A57 (1998) 2357-2367
10.1103/PhysRevA.57.2357
null
quant-ph gr-qc
null
For many years coherent states have been a useful tool for understanding fundamental questions in quantum mechanics. Recently, there has been work on developing a consistent way of including constraints into the phase space path integral that naturally arises in coherent state quantization. This new approach has many advantages over other approaches, including the lack of any Gribov problems, the independence of gauge fixing, and the ability to handle second-class constraints without any ambiguous determinants. In this paper, I use this new approach to study some examples of time reparameterization invariant systems, which are of special interest in the field of quantum gravity.
[ { "version": "v1", "created": "Thu, 14 Nov 1996 20:35:04 GMT" } ]
2009-10-30T00:00:00
[ [ "Ashworth", "M. C.", "" ] ]
quant-ph/9611027
Andrew Steane
Andrew Steane (Clarendon Laboratory, Oxford University)
Active stabilisation, quantum computation and quantum state synthesis
8 pages LaTeX plus 4 figures. Submitted to Phys. Rev. Lett
Phys.Rev.Lett.78:2252-2255,1997
10.1103/PhysRevLett.78.2252
null
quant-ph
null
Active stabilisation of a quantum system is the active suppression of noise (such as decoherence) in the system, without disrupting its unitary evolution. Quantum error correction suggests the possibility of achieving this, but only if the recovery network can suppress more noise than it introduces. A general method of constructing such networks is proposed, which gives a substantial improvement over previous fault tolerant designs. The construction permits quantum error correction to be understood as essentially quantum state synthesis. An approximate analysis implies that algorithms involving very many computational steps on a quantum computer can thus be made possible.
[ { "version": "v1", "created": "Sat, 16 Nov 1996 14:49:19 GMT" } ]
2009-01-23T00:00:00
[ [ "Steane", "Andrew", "", "Clarendon Laboratory, Oxford University" ] ]
quant-ph/9611028
Dorit Aharonov
D. Aharonov (Physics and CS, Hebrew Univ.) and M. Ben-Or(CS,Hebrew univ.) and R. Impagliazzo (CS, UCSD) and N. Nisan (CS, Hebrew univ.)
Limitations of Noisy Reversible Computation
13 pages
null
null
null
quant-ph
null
Noisy computation and reversible computation have been studied separately, and it is known that they are as powerful as unrestricted computation. We study the case where both noise and reversibility are combined and show that the combined model is weaker than unrestricted computation. In our noisy reversible circuits, each wire is flipped with probability p each time step, and all the inputs to the circuit are present in time 0. We prove that any noisy reversible circuit must have size exponential in its depth in order to compute a function with high probability. This is tight as we show that any circuit can be converted into a noise-resistant reversible one with a blow up in size which is exponential in the depth. This establishes that noisy reversible computation has the power of the complexity class NC^1. We extend this to quantum circuits(QC). We prove that any noisy QC which is not worthless, and for which all inputs are present at time 0, must have size exponential in its depth. (This high-lights the fact that fault tolerant QC must use a constant supply of inputs all the time.) For the lower bound, we show that quasi-polynomial noisy QC are at least powerful as logarithmic depth QC, (or QNC^1). Making these bounds tight is left open in the quantum case.
[ { "version": "v1", "created": "Sun, 17 Nov 1996 16:40:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Aharonov", "D.", "", "Physics and CS, Hebrew Univ." ], [ "Ben-Or", "M.", "", "CS,Hebrew\n univ." ], [ "Impagliazzo", "R.", "", "CS, UCSD" ], [ "Nisan", "N.", "", "CS, Hebrew univ." ] ]
quant-ph/9611029
Dorit Aharonov
Dorit Aharonov (Physics and computer science, Hebrew Univ.) and Michael Ben-Or (Computer science, Hebrew univ.)
Polynomial Simulations of Decohered Quantum Computers
12 pages
null
null
null
quant-ph
null
We define formally decohered quantum computers (using density matrices), and present a simulation of them by a probabalistic classical Turing Machine. We study the slowdown of the simulation for two cases: (1) sequential quantum computers, or quantum Turing machines(QTM), and (2) parallel quantum computers, or quantum circuits. This paper shows that the computational power of decohered quantum computers depends strongly on the amount of parallelism in the computation. The expected slowdown of the simulation of a QTM is polynomial in time and space of the quantum computation, for any non zero decoherence rate. This means that a QTM subjected to any amount of noise is worthless. For decohered quantum circuits, the situation is more subtle and depends on the decoherence rate, eta. We find that our simulation is efficient for circuits with decoherence rate higher than some constant, but exponential for general circuits with decoherence rate lower than some other constant. Using computer experiments, we show that the transition from exponential cost to polynomial cost happens in a short range of decoherence rates, and exhibit the phase transitions in various quantum circuits.
[ { "version": "v1", "created": "Sun, 17 Nov 1996 17:24:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Aharonov", "Dorit", "", "Physics and computer science, Hebrew Univ." ], [ "Ben-Or", "Michael", "", "Computer science, Hebrew univ." ] ]
quant-ph/9611030
Wai-Yee Keung
Marina Hruska, Wai-Yee Keung, and Uday Sukhatme
Accuracy of Semiclassical Methods for Shape Invariant Potentials
7 pages, Latex, and two tables in postscript
Phys.Rev.A55:3345-3350,1997
10.1103/PhysRevA.55.3345
UICHEP-TH/96-18
quant-ph
null
We study the accuracy of several alternative semiclassical methods by computing analytically the energy levels for many large classes of exactly solvable shape invariant potentials. For these potentials, the ground state energies computed via the WKB method typically deviate from the exact results by about 10%, a recently suggested modification using nonintegral Maslov indices is substantially better, and the supersymmetric WKB quantization method gives exact answers for all energy levels.
[ { "version": "v1", "created": "Mon, 18 Nov 1996 16:44:55 GMT" } ]
2009-09-01T00:00:00
[ [ "Hruska", "Marina", "" ], [ "Keung", "Wai-Yee", "" ], [ "Sukhatme", "Uday", "" ] ]
quant-ph/9611031
Hoi-Kwong Lo
Hoi-Kwong Lo (HP Labs, Bristol and University of Santa Barbara)
Insecurity of Quantum Secure Computations
The discussion on the insecurity of even non-ideal protocols has been greatly extended. Other technical points are also clarified. Version accepted for publication in Phys. Rev. A
null
10.1103/PhysRevA.56.1154
null
quant-ph cs.CR
null
It had been widely claimed that quantum mechanics can protect private information during public decision in for example the so-called two-party secure computation. If this were the case, quantum smart-cards could prevent fake teller machines from learning the PIN (Personal Identification Number) from the customers' input. Although such optimism has been challenged by the recent surprising discovery of the insecurity of the so-called quantum bit commitment, the security of quantum two-party computation itself remains unaddressed. Here I answer this question directly by showing that all ``one-sided'' two-party computations (which allow only one of the two parties to learn the result) are necessarily insecure. As corollaries to my results, quantum one-way oblivious password identification and the so-called quantum one-out-of-two oblivious transfer are impossible. I also construct a class of functions that cannot be computed securely in any ``two-sided'' two-party computation. Nevertheless, quantum cryptography remains useful in key distribution and can still provide partial security in ``quantum money'' proposed by Wiesner.
[ { "version": "v1", "created": "Tue, 19 Nov 1996 10:08:47 GMT" }, { "version": "v2", "created": "Mon, 28 Apr 1997 18:00:14 GMT" } ]
2009-10-30T00:00:00
[ [ "Lo", "Hoi-Kwong", "", "HP Labs, Bristol and University of Santa Barbara" ] ]
quant-ph/9611032
Chris Adami
N.J. Cerf and C. Adami (California Institute of Technology)
Accessible information in quantum measurement
4 pages RevTeX with psfig, 3 figures
null
null
KRL MAP-207
quant-ph
null
The amount of information that can be accessed via measurement of a quantum system prepared in different states is limited by the Kholevo bound. We present a simple proof of this theorem and its extension to sequential measurements based on the properties of quantum conditional and mutual entropies. The proof relies on a minimal physical model of the measurement which does not assume environmental decoherence, and has an intuitive diagrammatic representation.
[ { "version": "v1", "created": "Tue, 19 Nov 1996 22:58:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Cerf", "N. J.", "", "California Institute of Technology" ], [ "Adami", "C.", "", "California Institute of Technology" ] ]
quant-ph/9611033
Howard M. Wiseman
Howard M. Wiseman (University of Queensland)
What is an atom laser?
18 pages, LaTeX. No figures. Submitted to Phys. Rev. A on 19 November 1996
null
null
null
quant-ph
null
An atom laser is a hypothetical device which would produce an atomic field analogous to the electromagnetic field of a photon laser. Here I argue that for this analogy to be meaningful it is necessary to have a precise definition of a laser which applies equally to photon or atom lasers. The definition I propose is based upon the principle that the output of a laser is well-approximated by a classical wave of fixed intensity and phase. This principle yields four quantitative conditions which the output of a device must satisfy in order for that device to be considered a laser. While explaining these requirements, I analyse the similarities and differences between atom and photon lasers. I show how these conditions are satisfied first by an idealized photon laser model, and then by a more generic model which can apply to atom lasers also. Lastly, I briefly discuss the current proposals for atom lasers and whether they could be true lasers.
[ { "version": "v1", "created": "Wed, 20 Nov 1996 04:23:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Wiseman", "Howard M.", "", "University of Queensland" ] ]
quant-ph/9611034
Matteo G. A. Paris
Matteo G. A. Paris, Alexei V. Chizhov, and Ole Steuernagel (Arbeitsgruppe ``Nichtklassiche Strahlung'' der Max-Planck-Gesellschaft)
Phase Space Distributions from Three-Port Couplers
Three figures. To appear in Optics Comm
Opt.Commun.134:117,1997
10.1016/S0030-4018(96)00541-X
null
quant-ph
null
A wide class of phase space distributions of a single mode radiation field is shown to be directly accessible to measurement by linear symmetric three-port optical couplers.
[ { "version": "v1", "created": "Wed, 20 Nov 1996 11:27:52 GMT" } ]
2009-10-30T00:00:00
[ [ "Paris", "Matteo G. A.", "", "Arbeitsgruppe ``Nichtklassiche Strahlung'' der Max-Planck-Gesellschaft" ], [ "Chizhov", "Alexei V.", "", "Arbeitsgruppe ``Nichtklassiche Strahlung'' der Max-Planck-Gesellschaft" ], [ "Steuernagel", "Ole", "", "Arbeitsgruppe ``Nichtklassiche Strahlung'' der Max-Planck-Gesellschaft" ] ]
quant-ph/9611035
Matteo G. A. Paris
Matteo G. A. Paris (Arbeitsgruppe Nichtklassiche Strahlung der Max-Planck-Gesellschaft)
Interferometry as a binary decision problem
9 pages. One picture in LaTeX. Epic and Eepic extension needed
null
10.1016/S0375-9601(96)00862-6
null
quant-ph
null
Binary decision theory has been applied to the general interferometric problem. Optimal detection scheme-according to the Neyman-Pearson criterion-has been considered for different phase-enhanced states of radiation field, and the corresponding bounds on minimum detectable phase shift has been evaluated. A general bound on interferometric precision has been also obtained in terms of photon number fluctuations of the signal mode carrying the phase information.
[ { "version": "v1", "created": "Thu, 21 Nov 1996 11:44:54 GMT" } ]
2016-09-08T00:00:00
[ [ "Paris", "Matteo G. A.", "", "Arbeitsgruppe Nichtklassiche Strahlung der\n Max-Planck-Gesellschaft" ] ]
quant-ph/9611036
Piotr Kochanski
Piotr Kochanski (Center for Theoretical Physics) and Krzysztof Wodkiewicz (University of New Mexico)
Operational Theory of the Eight-Port Homodyne Detection
18 pages, uses Revtex and epsfig.sty, 4 Encapsulated Postscript figures, submitted to J. Mod. Opt
null
null
CFT PAN 11-1996
quant-ph
null
The eight-port homodyne detection apparatus is analyzed in the framework of the operational theory of quantum measurement. For an arbitrary quantum noise leaking through the unused port of the beam splitter, the positive operator valued measure and the corresponding operational homodyne observables are derived. It is shown that such an eight-port homodyne device can be used to construct the operational quantum trigonometry of an optical field. The quantum trigonometry and the corresponding phase space Wigner functions are derived for a signal field probed by a classical local oscillator and a squeezed vacuum in the unused port.
[ { "version": "v1", "created": "Thu, 21 Nov 1996 13:42:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Kochanski", "Piotr", "", "Center for Theoretical Physics" ], [ "Wodkiewicz", "Krzysztof", "", "University of New Mexico" ] ]