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quant-ph/9512027 | Shelly Goldstein | Sheldon Goldstein | Bohmian Mechanics and the Quantum Revolution | 20 pages, LaTeX, to appear in Synthese 106, February 1996 | null | null | null | quant-ph | null | This is a review-essay on ``Speakable and Unspeakable in Quantum Mechanics''
by John Bell and ``The Undivided Universe: An Ontological Interpretation of
Quantum Mechanics'' by David Bohm and Basil Hiley. The views of these authors
concerning the character of quantum theory and quantum reality---and, in
particular, their approaches to the issues of nonlocality, the possibility of
hidden variables, and the nature of and desiderata for a satisfactory
scientific explanation of quantum phenomena---are contrasted, with each other
and with the orthodox approach to these issues.
| [
{
"version": "v1",
"created": "Tue, 26 Dec 1995 16:44:07 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Goldstein",
"Sheldon",
""
]
] |
quant-ph/9512028 | Shelly Goldstein | Sheldon Goldstein, Joel L. Lebowitz | Does the Wave Function Provide a Complete Description of Physical
Reality? | 9 pages, LaTeX, in The Physical Review---The First Hundred Years: A
Selection of Seminal Papers and Commentaries, edited by H. Henry Stroke (AIP
Press, 1995) | null | null | null | quant-ph | null | This is the introduction to the section on Quantum Mechanics in the
centennial collection of noteworthy articles appearing in The Physical Review
and Physical Review Letters through 1983, since it all began in 1893. The
selections for this section are "Can Quantum-Mechanical Description of Physical
Reality Be Considered Complete?" by Einstein, Podolsky and Rosen; Bohr's
response, with the same title; Bohm's first hidden variables paper: "A
Suggested Interpretation of the Quantum Theory in Terms of `Hidden' Variables.
I"; Aharonov and Bohm's "Significance of Electromagnetic Potentials in the
Quantum Theory"; and "Experimental Test of Bell's Inequalities Using
Time-Varying Analyzers" by Aspect, Dalibard and Roger.
| [
{
"version": "v1",
"created": "Fri, 29 Dec 1995 01:13:55 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Goldstein",
"Sheldon",
""
],
[
"Lebowitz",
"Joel L.",
""
]
] |
quant-ph/9512029 | Hiroshi Kuratsuji | Masao Matsumoto, Hiroshi Kuratsuji | Geometric Phases, Coherent States and Resonant Hamiltonian | 24 pages plain tex | null | null | null | quant-ph | null | We study characteristic aspects of the geometric phase which is associated
with the generalized coherent states. This is determined by special orbits in
the parameter space defining the coherent state, which is obtained as a
solution of the variational equation governed by a simple model Hamiltonian
called the "resonant Hamiltonian". Three typical coherent states are
considered: SU(2), SU(1,1) and Heisenberg-Weyl. A possible experimental
detection of the phases is proposed in such a way that the geometric phases can
be discriminated from the dynamical phase.
| [
{
"version": "v1",
"created": "Fri, 29 Dec 1995 10:56:48 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Matsumoto",
"Masao",
""
],
[
"Kuratsuji",
"Hiroshi",
""
]
] |
quant-ph/9512030 | null | Alan Kostelecky and Bogdan Tudose | Minimum-Uncertainty Angular Wave Packets and Quantized Mean Values | accepted for publication in Physical Review A | Phys.Rev.A53:1978-1981,1996 | 10.1103/PhysRevA.53.1978 | IUHET 292 | quant-ph | null | Uncertainty relations between a bounded coordinate operator and a conjugate
momentum operator frequently appear in quantum mechanics. We prove that
physically reasonable minimum-uncertainty solutions to such relations have
quantized expectation values of the conjugate momentum. This implies, for
example, that the mean angular momentum is quantized for any
minimum-uncertainty state obtained from any uncertainty relation involving the
angular-momentum operator and a conjugate coordinate. Experiments specifically
seeking to create minimum-uncertainty states localized in angular coordinates
therefore must produce packets with integer angular momentum.
| [
{
"version": "v1",
"created": "Fri, 29 Dec 1995 17:22:32 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kostelecky",
"Alan",
""
],
[
"Tudose",
"Bogdan",
""
]
] |
quant-ph/9512031 | Shelly Goldstein | Detlef D\"urr, Sheldon Goldstein, Nino Zangh\`{\i} | Bohmian Mechanics and the Meaning of the Wave Function | 15 pages, LaTeX, 1 figure, contribution to ``Experimental
Metaphysics---Quantum Mechanical Studies in Honor of Abner Shimony,'' edited
by R.S.Cohen, M. Horne, and J. Stachel, Boston Studies in the Philosophy of
Science (Kluwer, 1996) | null | null | null | quant-ph | null | We outline how Bohmian mechanics works: how it deals with various issues in
the foundations of quantum mechanics and how it is related to the usual quantum
formalism. We then turn to some objections to Bohmian mechanics, for example
the fact that in Bohmian mechanics there is no back action of particle
configurations upon wave functions. These lead us to our main concern: a more
careful consideration of the meaning of the wave function in quantum mechanics,
as suggested by a Bohmian perspective. We propose that the reason, on the
universal level, that there is no action of configurations upon wave functions,
as there seems to be between all other elements of physical reality, is that
the wave function of the universe is not an element of physical reality. We
propose that the wave function belongs to an altogether different category of
existence than that of substantive physical entities, and that its existence is
nomological rather than material. We propose, in other words, that the wave
function is a component of physical law rather than of the reality described by
the law.
| [
{
"version": "v1",
"created": "Fri, 29 Dec 1995 18:21:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Dürr",
"Detlef",
""
],
[
"Goldstein",
"Sheldon",
""
],
[
"Zangh\\`ı",
"Nino",
""
]
] |
quant-ph/9512032 | Peter W. Shor | A. R. Calderbank and Peter W. Shor (AT&T Research) | Good Quantum Error-Correcting Codes Exist | Latex, 23 pages, 1 figure. Revised April 1996 to give more intuition
and an example. Submitted to Phys. Rev. A | Phys. Rev. A, Vol. 54, No. 2, pp. 1098-1106, 1996 | 10.1103/PhysRevA.54.1098 | null | quant-ph | null | A quantum error-correcting code is defined to be a unitary mapping (encoding)
of k qubits (2-state quantum systems) into a subspace of the quantum state
space of n qubits such that if any t of the qubits undergo arbitrary
decoherence, not necessarily independently, the resulting n qubits can be used
to faithfully reconstruct the original quantum state of the k encoded qubits.
Quantum error-correcting codes are shown to exist with asymptotic rate k/n = 1
- 2H(2t/n) where H(p) is the binary entropy function -p log p - (1-p) log
(1-p). Upper bounds on this asymptotic rate are given.
| [
{
"version": "v1",
"created": "Sat, 30 Dec 1995 21:31:00 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Apr 1996 19:48:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Calderbank",
"A. R.",
"",
"AT&T Research"
],
[
"Shor",
"Peter W.",
"",
"AT&T Research"
]
] |
quant-ph/9601001 | Judy Mack | C. R. Hagen | Comment on ``Quantum Phase of Induced Dipoles Moving in a Magnetic
Field'' | 2 pages, latex file, no figures | null | 10.1103/PhysRevLett.77.1656 | UR-1453 | quant-ph | null | It has recently been suggested that an Aharonov-Bohm phase should be capable
of detection using beams of neutral polarizable particles. A more careful
analysis of the proposed experiment suffices to show, however, that it cannot
be performed regardless of the strength of the external electric and magnetic
fields.
| [
{
"version": "v1",
"created": "Tue, 2 Jan 1996 15:35:59 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Hagen",
"C. R.",
""
]
] |
quant-ph/9601002 | Olavo Leopoldino Da Silva Filho | L.S.F. Olavo | Quantum Mechanics as a Classical Theory X: Quantization in Generalized
Coordinates | 10 pages of plain LaTex, no figures | null | null | UnB-010 | quant-ph | null | In this tenth paper of the series we aim at showing that our formalism, using
the Wigner-Moyal Infinitesimal Transformation together with classical
mechanics, endows us with the ways to quantize a system in any coordinate
representation we wish. This result is necessary if one even think about making
general relativistic extensions of the quantum formalism. Besides, physics
shall not be dependent on the specific representation we use and this result is
necessary to make quantum theory consistent and complete.
| [
{
"version": "v1",
"created": "Wed, 3 Jan 1996 13:59:54 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9601003 | null | S. R. Vatsya | Particle Path Formulation of Quantum Mechanics | 19 pages, LaTeX; A new gauge theoretical description of Quantum
Mechanics, based on the presentation in conference on Quantum Theory at York
University, Toronto, August 1995 | null | null | null | quant-ph | null | An extension of the classical action principle obtained in the framework of
the gauge transformations, is used to describe the motion of a particle. This
extension assigns many, but not all, paths to a particle. Properties of the
particle paths are shown to impart wave like behaviour to a particle in motion
and to imply various other assumptions and conjectures attributed to the
formalism of Quantum Mechanics. The Klein-Gordon and other similar equations
are derived by incorporating these properties in the path-integral formalism.
| [
{
"version": "v1",
"created": "Wed, 3 Jan 1996 20:24:29 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Vatsya",
"S. R.",
""
]
] |
quant-ph/9601004 | Todd A. Brun | T. A. Brun (QMW College, University of London), J. J. Halliwell
(Imperial College, University of London) | Decoherence of Hydrodynamic Histories: A Simple Spin Model | Standard TeX, 36 pages + 3 figures (postscript) Revised abstract and
introduction. To appear in Physical Review D | Phys.Rev.D54:2899-2912,1996 | 10.1103/PhysRevD.54.2899 | QMW-PH-95-48 | quant-ph gr-qc hep-th | null | In the context of the decoherent histories approach to the quantum mechanics
of closed systems, Gell-Mann and Hartle have argued that the variables
typically characterizing the quasiclassical domain of a large complex system
are the integrals over small volumes of locally conserved densities --
hydrodynamic variables. The aim of this paper is to exhibit some simple models
in which approximate decoherence arises as a result of local conservation. We
derive a formula which shows the explicit connection between local conservation
and approximate decoherence. We then consider a class of models consisting of a
large number of weakly interacting components, in which the projections onto
local densities may be decomposed into projections onto one of two alternatives
of the individual components. The main example we consider is a one-dimensional
chain of locally coupled spins, and the projections are onto the total spin in
a subsection of the chain. We compute the decoherence functional for histories
of local densities, in the limit when the number of components is very large.
We find that decoherence requires two things: the smearing volumes must be
sufficiently large to ensure approximate conservation, and the local densities
must be partitioned into sufficiently large ranges to ensure protection against
quantum fluctuations.
| [
{
"version": "v1",
"created": "Mon, 8 Jan 1996 15:06:00 GMT"
},
{
"version": "v2",
"created": "Tue, 23 Apr 1996 19:02:09 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Brun",
"T. A.",
"",
"QMW College, University of London"
],
[
"Halliwell",
"J. J.",
"",
"Imperial College, University of London"
]
] |
quant-ph/9601005 | Lev Vaidman | L. Vaidman | Weak-Measurement Elements of Reality | LaTeX, 11 pages | null | 10.1007/BF02148832 | TAUP 2317-96 | quant-ph | null | A brief review of the attempts to define ``elements of reality'' in the
framework of quantum theory is presented. It is noted that most definitions of
elements of reality have in common the feature to be a definite outcome of some
measurement. Elements of reality are extended to pre- and post-selected systems
and to measurements which fulfill certain criteria of weakness of the coupling.
Some features of the newly introduced concepts are discussed.
| [
{
"version": "v1",
"created": "Mon, 8 Jan 1996 15:41:23 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Vaidman",
"L.",
""
]
] |
quant-ph/9601006 | null | Douglas M. Snyder | On the Nature of the Change in the Wave Function in a Measurement in
Quantum Mechanics | 13 pages, no change to content, paper placed in PDF format because
original ASCII file and gif figures could not be converted automatically to
pdf | null | null | 9601qm | quant-ph | null | Generally a central role has been assigned to an unavoidable physical
interaction between the measuring instrument and the physical entity measured
in the change in the wave function that often occurs in measurement in quantum
mechanics. A survey of textbooks on quantum mechanics by authors such as Dicke
and Witke (1960), Eisberg and Resnick (1985), Gasiorowicz (1974), Goswami
(1992), and Liboff (1993) supports this point. Furthermore, in line with the
view of Bohr and Feynman, generally the unavoidable interaction between a
measuring instrument and the physical entity measured is considered responsible
for the uncertainty principle. A gedankenexperiment using Feynman's double-hole
interference scenario shows that physical interaction is not necessary to
effect the change in the wave function that occurs in measurement in quantum
mechanics. Instead, the general case is that knowledge is linked to the change
in the wave function, not a physical interaction between the physical existent
measured and the measuring instrument. Empirical work on electron shelving that
involves null measurements, or what Renninger called negative observations
(Zeitschrift fur Physik, vol. 158, p. 417), supports these points. Work on
electron shelving is reported by Dehmelt and his colleagues (Physical Review
Letters, vol. 56, p. 2797), Wineland and his colleagues (Physical Review
Letters, vol. 57, p. 1699), and Sauter, Neuhauser, Blatt, and Toschek (Physical
Review Letters, vol. 57, p. 1696).
| [
{
"version": "v1",
"created": "Tue, 19 Dec 1995 17:24:59 GMT"
},
{
"version": "v2",
"created": "Wed, 24 Jan 1996 16:40:21 GMT"
},
{
"version": "v3",
"created": "Sun, 6 Apr 2003 17:48:02 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Snyder",
"Douglas M.",
""
]
] |
quant-ph/9601007 | Shelly Goldstein | Sheldon Goldstein | Quantum Philosophy: The Flight from Reason in Science | 8 pages, LaTeX, contribution to ``The Flight from Science and
Reason,'' edited by P. Gross, N. Levitt, and M.W.Lewis, Annals of the New
York Academy of Sciences (1996) | null | 10.1111/j.1749-6632.1996.tb23133.x | null | quant-ph | null | This is a talk concerning the irrationality of prominent physicists with
regard to the foundations of quantum mechanics, delivered at a conference on
the irrationality of the postmodern attack on science by nonscientists.
| [
{
"version": "v1",
"created": "Wed, 10 Jan 1996 21:27:44 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Goldstein",
"Sheldon",
""
]
] |
quant-ph/9601008 | Luanne Neumann | Henry P. Stapp | Pole_Factorization Theorem in Quantum Electrodynamics | 15 pages, no figures, latexed, uses math macros which can be found on
Archive, full postscript available from
http://theorl.lbl.gpv/www/theorygroup/papers/38129.ps | Ann.Poincare 64:479-494,1996 | null | LBL-38129 | quant-ph | null | In quantum electrodynamics a classical part of the S-matrix is normally
factored out in order to obtain a quantum remainder that can be treated
perturbatively without the occurrence of infrared divergences. However, this
separation, as usually performed, introduces spurious large-distance effects
that produce an apparent breakdown of the important correspondence between
stable particles and poles of the S-matrix, and, consequently, lead to apparent
violations of the correspondence principle and to incorrect results for
computations in the mesoscopic domain lying between the atomic and classical
regimes. An improved computational technique is described that allows valid
results to be obtained in this domain, and that leads, for the quantum
remainder, in the cases studied, to a physical-region singularity structure
that, as regards the most singular parts, is the same as the normal
physical-region analytic structure in theories in which all particles have
non-zero mass. The key innovations are to define the classical part in
coordinate space, rather than in momentum space, and to define there a
separation of the photon-electron coupling into its classical and quantum parts
that has the following properties: 1) The contributions from the terms
containing only classical couplings can be summed to all orders to give a
unitary operator that generates the coherent state that corresponds to the
appropriate classical process, and 2) The quantum remainder can be rigorously
shown to exhibit, as regards its most singular parts, the normal analytic
structure.
| [
{
"version": "v1",
"created": "Wed, 10 Jan 1996 21:59:23 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Stapp",
"Henry P.",
""
]
] |
quant-ph/9601009 | David Politzer | H. David Politzer | Quantum statistics of trapped bosons | The computer code on which this paper relied contained an error. When
corrected, the Monte Carlo evaluation of the ground state occupation is
consistent with the conventional grand canonical calculation. Hence, the
original version of this paper has been withdrawn | null | null | null | quant-ph | null | The computer code on which this paper relied contained an error. When
corrected, the Monte Carlo evaluation of the ground state occupation is
consistent with the conventional grand canonical calculation. Hence, the
original version of this paper has been withdrawn.
| [
{
"version": "v1",
"created": "Thu, 11 Jan 1996 18:31:09 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Mar 1996 23:37:10 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Politzer",
"H. David",
""
]
] |
quant-ph/9601010 | Anna Jadczyk | Z. Haba | Stochastic Schr\"odinger equation from an interaction with the
environment | 12 pages | Int.J.Theor.Phys. 35 (1996) 2461-2474 | 10.1007/BF02085754 | January 1996 ITP UWr 902/96 | quant-ph | null | We consider a class of models describing a quantum oscillator in interaction
with an environment. We show that models of continuous spontaneous localization
based on a stochastic Schr\"odinger equation can be derived as an approximation
to purely deterministic Hamiltonian systems. We show an exponential decay of
off-diagonal matrix elements in the energy representation.
| [
{
"version": "v1",
"created": "Fri, 12 Jan 1996 13:59:25 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Haba",
"Z.",
""
]
] |
quant-ph/9601011 | Jose M. Martin Garcia | J. Leon and J. M. Martin | Introducing spin to classical phase space | 8 pages, plain LATEX | null | null | LAEFF 95/26 | quant-ph hep-th | null | The kinematic degrees of freedom of spinning particles are analyzed and an
explicit construction of the phase space and the simplectic structure that
accomodates them is presented. A Poincare invariant theory of classical
spinning particles that generalizes the work of Proca and Barut to arbitrary
spin is given using spinor variables. Second quantization is naturally
connected to the unphysical nature of zitterbewegung. Position variables can
not be disentangled from spin in a canonical way, nor can the phase space be
reduced to the usual description $(x,p)$ and a vector spin.
Pacs: 03.20.+i, 03.65.Sq, 03.30.+p, 11.30.Cp
| [
{
"version": "v1",
"created": "Mon, 15 Jan 1996 14:06:27 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Leon",
"J.",
""
],
[
"Martin",
"J. M.",
""
]
] |
quant-ph/9601012 | null | B. Carazza, Diparimento di Fisica, Parma (Italy) | Considerations on Localization of Macroscopic Bodies | 14 pages, LaTex | null | 10.1007/BF02186211 | null | quant-ph | null | Position holds a very special role in understanding the classical behaviour
of macroscopic bodies on the basis of quantum principles. This lead us to
examine the localised states of a large condensed object in the context of a
realistic model. Following the argument that an isolated macroscopic body is
usually described by a linear superposition of low-lying energy eigenstates, it
has been found that localised states of this type correspond to a nearly
minimum-uncertainty state for the center of mass. An indication is also given
of the dependence of the center of mass position spread on the number of
constituent particles.
This paper is not offered as an answer to the intriguing question of the
preferred role played by the position basis, but will hopefully provide some
contribution to the quantum modelling of multi-particle systems.
| [
{
"version": "v1",
"created": "Mon, 15 Jan 1996 13:22:01 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Carazza",
"B.",
"",
"Italy"
],
[
"di Fisica",
"Diparimento",
"",
"Italy"
],
[
"Parma",
"",
"",
"Italy"
]
] |
quant-ph/9601013 | Shelly Goldstein | Martin Daumer, Detlef D\"urr, Sheldon Goldstein, and Nino Zangh\`{\i} | Naive Realism about Operators | 18 pages, LaTex2e with AMS-LaTeX, to appear in Erkenntnis, 1996 (the
proceedings of the international conference ``Probability, Dynamics and
Causality,'' Luino, Italy, 15-17 June 1995, a special issue edited by D.
Costantini and M.C. Gallavotti and dedicated to Prof. R. Jeffrey) | null | null | null | quant-ph | null | A source of much difficulty and confusion in the interpretation of quantum
mechanics is a ``naive realism about operators.'' By this we refer to various
ways of taking too seriously the notion of operator-as-observable, and in
particular to the all too casual talk about ``measuring operators'' that occurs
when the subject is quantum mechanics. Without a specification of what should
be meant by ``measuring'' a quantum observable, such an expression can have no
clear meaning. A definite specification is provided by Bohmian mechanics, a
theory that emerges from Sch\"rodinger's equation for a system of particles
when we merely insist that ``particles'' means particles. Bohmian mechanics
clarifies the status and the role of operators as observables in quantum
mechanics by providing the operational details absent from standard quantum
mechanics. It thereby allows us to readily dismiss all the radical claims
traditionally enveloping the transition from the classical to the quantum
realm---for example, that we must abandon classical logic or classical
probability. The moral is rather simple: Beware naive realism, especially about
operators!
| [
{
"version": "v1",
"created": "Mon, 15 Jan 1996 23:09:13 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Daumer",
"Martin",
""
],
[
"Dürr",
"Detlef",
""
],
[
"Goldstein",
"Sheldon",
""
],
[
"Zangh\\`ı",
"Nino",
""
]
] |
quant-ph/9601014 | M. Czachor | Marek Czachor | Manifestly Covariant Approach to Bargmann-Wigner Fields (I): Generalized
scalar products and Wigner states | bibliography is extended | null | null | null | quant-ph gr-qc hep-th | null | Manifestly covariant formalism for Bargmann-Wigner fields is developed.
It is shown that there exists some freedom in the choice of the form of the
Bargmann-Wigner scalar product: The general product depends implicitly on a
family of world-vectors. The standard choice of the product corresponds to
timelike and equal vectors which define a ``time" direction. The generalized
form shows that formulas are simpler if one chooses {\it null\/} directions.
This freedom is used to derive simple covariant formulas for momentum-space
wave functions (generalized Wigner states) corresponding to arbitrary mass and
spin and using eigenstates of the Pauli-Lubanski vector. The eigenstates which
make formulas the simplest correspond to projections of the Pauli-Lubanski
vector on {\it null\/} directions. The new formulation is an alternative to the
standard helicity formalism.
| [
{
"version": "v1",
"created": "Tue, 16 Jan 1996 09:23:27 GMT"
},
{
"version": "v2",
"created": "Mon, 12 Feb 1996 15:32:04 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9601015 | M. Czachor | Marek Czachor | Nambu-Type Generalization of the Dirac Equation | revtex, 19 pages | Phys.Lett.A225:1-12,1997 | 10.1016/S0375-9601(96)00869-9 | null | quant-ph hep-th | null | Nonlinear generalization of the Dirac equation extending the standard
paradigm of nonlinear Hamiltonians is discussed. ``Faster-than-light
telegraphs" are absent for all theories formulated within the new framework. A
new metric for infinite dimensional Lie algebras associated with Lie-Poisson
dynamics is introduced.
| [
{
"version": "v1",
"created": "Tue, 16 Jan 1996 09:26:55 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9601016 | Piotr Garbaczewski | Piotr Garbaczewski and Robert Olkiewicz | Comment on "Why quantum mechanics cannot be formulated as a Markov
process" | Latex file, resubm. to Phys. Rev. A | Phys.Rev. A54 (1996) 1733-1736 | 10.1103/PhysRevA.54.1733 | null | quant-ph | null | In the paper with the above title, D. T. Gillespie [Phys. Rev. A 49, 1607,
(1994)] claims that the theory of Markov stochastic processes cannot provide an
adequate mathematical framework for quantum mechanics. In conjunction with the
specific quantum dynamics considered there, we give a general analysis of the
associated dichotomic jump processes. If we assume that Gillespie's
"measurement probabilities" \it are \rm the transition probabilities of a
stochastic process, then the process must have an invariant (time independent)
probability measure. Alternatively, if we demand the probability measure of the
process to follow the quantally implemented (via the Born statistical
postulate) evolution, then we arrive at the jump process which \it can \rm be
interpreted as a Markov process if restricted to a suitable duration time.
However, there is no corresponding Markov process consistent with the $Z_2$
event space assumption, if we require its existence for all times $t\in R_+$.
| [
{
"version": "v1",
"created": "Tue, 16 Jan 1996 12:23:45 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Garbaczewski",
"Piotr",
""
],
[
"Olkiewicz",
"Robert",
""
]
] |
quant-ph/9601017 | Klaus Fredenhagen | Rudolf Haag | An Evolutionary Picture for Quantum Physics | 11 pages, 1 Postscript/Latex figure | Commun.Math.Phys. 180 (1996) 733-744 | 10.1007/BF02099630 | null | quant-ph | null | In the orthodox language of Quantum Mechanics the observer occupies a central
position and the only "real events" are the measuring results. We argue here
that this narrow view is not forced upon us by the lessons of Quantum Physics.
An alternative language, closer to the intuitive picture of the working
physicist in many areas, is not only possible but warranted. It needs, however,
a different conceptual picture ultimately implying also a different
mathematical structure. Only a rudimentary outline of this picture will be
attempted here. The importance of idealizations, unavoidable in any scheme, is
emphasized. A brief discussion of the EPR-phenomenon is added.
| [
{
"version": "v1",
"created": "Tue, 16 Jan 1996 18:09:59 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Haag",
"Rudolf",
""
]
] |
quant-ph/9601018 | Adriano Barenco | Adriano Barenco (1), Artur Ekert (1), Kalle-Antti Suominen (2) and
P\"aivi T\"orm\"a (3) ((1) Clarendon Laboratory, Department of Physics,
University of Oxford, Oxford, U.K., (2)Theoretical Physics Division,
Department of Physics, University of Helsinki, Finland, (3) Research
Institute for Theoretical Physics, University of Helsinki, Finland) | Approximate Quantum Fourier Transform and Decoherence | 14 pages, 10 fig. (8 *.eps files). More information on
http://eve.physics.ox.ac.uk/QChome.html
http://www.physics.helsinki.fi/~kasuomin
http://www.physics.helsinki.fi/~kira/group.html | null | 10.1103/PhysRevA.54.139 | null | quant-ph | null | We discuss the advantages of using the approximate quantum Fourier transform
(AQFT) in algorithms which involve periodicity estimations. We analyse quantum
networks performing AQFT in the presence of decoherence and show that extensive
approximations can be made before the accuracy of AQFT (as compared with
regular quantum Fourier transform) is compromised. We show that for some
computations an approximation may imply a better performance.
| [
{
"version": "v1",
"created": "Sun, 21 Jan 1996 18:39:47 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Barenco",
"Adriano",
""
],
[
"Ekert",
"Artur",
""
],
[
"Suominen",
"Kalle-Antti",
""
],
[
"Törmä",
"Päivi",
""
]
] |
quant-ph/9601019 | Haret Rosu | H.C. Rosu | Darboux-Witten techniques for the Demkov-Ostrovsky problem | 7 pp, published version, minor corrections, 3 references added | Phys. Rev. A 54 (1996) 2571-2576 | 10.1103/PhysRevA.54.2571 | null | quant-ph | null | The bosonic strictly isospectral problem for Demkov-Ostrovsky (DO) effective
potentials in the radially nodeless sector is first solved in the
supersymmetric Darboux-Witten (DW) half line (or l-changing) procedure. As an
application, for the \kappa =1 class, if one goes back to optics examples, it
might be possible to think of a one-parameter family of Maxwell lenses having
the same optical scattering properties in the nodeless radial sector. Although
the relative changes in the index of refraction that one may introduce in this
way are at the level of several percents, at most, for all DO orbital quantum
numbers l\geq 0, the index profiles are different from the original Maxwell
one, possessing an inflection point within the lens. I pass then to the DW full
line (or N-changing) procedure, obtaining the corresponding Morse-type problem
for which the supersymmetric results are well established, and finally come
back to the half line with well-defined results
| [
{
"version": "v1",
"created": "Tue, 23 Jan 1996 04:38:00 GMT"
},
{
"version": "v2",
"created": "Fri, 26 Jan 1996 01:59:00 GMT"
},
{
"version": "v3",
"created": "Sun, 28 Jan 1996 23:59:00 GMT"
},
{
"version": "v4",
"created": "Tue, 13 Feb 1996 02:39:00 GMT"
},
{
"version": "v5",
"created": "Sun, 12 Jan 1997 23:38:00 GMT"
},
{
"version": "v6",
"created": "Mon, 19 Jan 1998 18:46:49 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Rosu",
"H. C.",
""
]
] |
quant-ph/9601020 | Christopher Fuchs | Christopher A. Fuchs (Departement IRO, Universite de Montreal) | Distinguishability and Accessible Information in Quantum Theory | Ph. D. Dissertation, University of New Mexico, prepared in LaTeX, 174
pages in single-space format, 640 equations, 528 references, 11 PostScript
figures, requires epsfig.sty | null | null | null | quant-ph | null | This document focuses on translating various information-theoretic measures
of distinguishability for probability distributions into measures of distin-
guishability for quantum states. These measures should have important appli-
cations in quantum cryptography and quantum computation theory. The results
reported include the following. An exact expression for the quantum fidelity
between two mixed states is derived. The optimal measurement that gives rise to
it is studied in detail. Several upper and lower bounds on the quantum mutual
information are derived via similar techniques and compared to each other. Of
note is a simple derivation of the important upper bound first proved by Holevo
and an explicit expression for another (tighter) upper bound that appears
implicitly in the same derivation. Several upper and lower bounds to the quan-
tum Kullback relative information are derived. The measures developed are also
applied to ferreting out the extent to which quantum systems must be disturbed
by information gathering measurements. This is tackled in two ways. The first
is in setting up a general formalism for describing the tradeoff between
inference and disturbance. The main point of this is that it gives a way of
expressing the problem so that it appears as algebraic as that of the problem
of finding quantum distinguishability measures. The second result on this theme
is a theorem that prohibits "broadcasting" an unknown (mixed) quantum state.
That is to say, there is no way to replicate an unknown quantum state onto two
separate quantum systems when each system is considered without regard to the
other. This includes the possibility of correlation or quantum entanglement
between the systems. This result is a significant extension and generalization
of the standard "no-cloning" theorem for pure states.
| [
{
"version": "v1",
"created": "Tue, 23 Jan 1996 17:41:21 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Fuchs",
"Christopher A.",
"",
"Departement IRO, Universite de Montreal"
]
] |
quant-ph/9601021 | Cesar Miquel | Cesar Miquel, Juan Pablo Paz and Roberto Perazzo | Factoring in a Dissipative Quantum Computer | plain tex, 18 pages, 8 postscript figures | null | 10.1103/PhysRevA.54.2605 | null | quant-ph | null | We describe an array of quantum gates implementing Shor's algorithm for prime
factorization in a quantum computer. The array includes a circuit for modular
exponentiation with several subcomponents (such as controlled multipliers,
adders, etc) which are described in terms of elementary Toffoli gates. We
present a simple analysis of the impact of losses and decoherence on the
performance of this quantum factoring circuit. For that purpose, we simulate a
quantum computer which is running the program to factor N = 15 while
interacting with a dissipative environment. As a consequence of this
interaction randomly selected qubits may spontaneously decay. Using the results
of our numerical simulations we analyze the efficiency of some simple error
correction techniques.
| [
{
"version": "v1",
"created": "Tue, 23 Jan 1996 23:05:36 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Miquel",
"Cesar",
""
],
[
"Paz",
"Juan Pablo",
""
],
[
"Perazzo",
"Roberto",
""
]
] |
quant-ph/9601022 | Tommaso Calarco | Tommaso Calarco (Dipartimento di Fisica and INFN, Ferrara, Italy) | Impulsive quantum measurements: restricted path integral versus von
Neumann collapse | 12 pages, 3 figures | NuovoCim.B110:1451-1462,1995 | 10.1007/BF02849843 | null | quant-ph | null | The relation between the restricted path integral approach to quantum
measurement theory and the commonly accepted von Neumann wavefunction collapse
postulate is presented. It is argued that in the limit of impulsive
measurements the two approaches lead to the same predictions. The example of
repeated impulsive quantum measurements of position performed on a harmonic
oscillator is discussed in detail and the quantum nondemolition strategies are
recovered in both the approaches.
| [
{
"version": "v1",
"created": "Wed, 24 Jan 1996 07:15:56 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Calarco",
"Tommaso",
"",
"Dipartimento di Fisica and INFN, Ferrara, Italy"
]
] |
quant-ph/9601023 | null | V.I.Manko | Correlated states and Schr\"odinger cats | 8 pages,Latex,contribution to Shanxi International conference,1995,
on "Squeezed States and Uncertainty Relations" | null | null | null | quant-ph | null | The Schr\"odinger cat male and female states are discussed. The Wigner and
Q--functions of generalized correlated light are given. Linear transformator of
photon statistics is reviewed.
| [
{
"version": "v1",
"created": "Wed, 24 Jan 1996 11:05:13 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Manko",
"V. I.",
""
]
] |
quant-ph/9601024 | Andrea Begliuomini | Andrea Begliuomini and Luciano Bracci | Interaction time of a wave packet interact with a potential barrier | 14 pages in REVTeX + 6 figures, submitted to Il Nuovo Cimento | null | null | IFUP-TH 96-1 | quant-ph | null | We study the evolution of a wave packet impinging onto a one dimensional
potential barrier. The transmission and reflection times discussed in the
literature for stationary states do not correspond to the times required for
the emergence of a transmitted or a reflected packet. We propose new
definitions for the interaction (dwell) time and the transmission and
reflection times which are suitable for packets and fit better the actual time
evolution of the packet.
| [
{
"version": "v1",
"created": "Wed, 24 Jan 1996 17:32:51 GMT"
},
{
"version": "v2",
"created": "Fri, 26 Jan 1996 13:46:23 GMT"
},
{
"version": "v3",
"created": "Sat, 18 May 1996 16:17:58 GMT"
},
{
"version": "v4",
"created": "Sat, 25 May 1996 10:02:15 GMT"
},
{
"version": "v5",
"created": "Sat, 8 Jun 1996 08:49:27 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Begliuomini",
"Andrea",
""
],
[
"Bracci",
"Luciano",
""
]
] |
quant-ph/9601025 | Christopher Fuchs | Carlton M. Caves and Christopher A. Fuchs | Quantum information: How much information in a state vector? | 32 pages in plain TeX, to appear in Sixty Years of EPR, edited by A.
Mann and M. Revzen, Ann. Phys. Soc., Israel, 1996 | null | null | null | quant-ph | null | Quantum information refers to the distinctive information-processing
properties of quantum systems, which arise when information is stored in or
retrieved from nonorthogonal quantum states. More information is required to
prepare an ensemble of nonorthogonal quantum states than can be recovered from
the ensemble by measurements. Nonorthogonal quantum states cannot be
distinguished reliably, cannot be copied or cloned, and do not lead to exact
predictions for the results of measurements. These properties contrast sharply
with those of information stored in the microstates of a classical system.
| [
{
"version": "v1",
"created": "Thu, 25 Jan 1996 04:21:01 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Caves",
"Carlton M.",
""
],
[
"Fuchs",
"Christopher A.",
""
]
] |
quant-ph/9601026 | Naruhiko Aizawa | N. Aizawa and H.-T. Sato | Isospectral Hamiltonians and $W_{1+\infty}$ algebra | 15 pages, LaTeX, one postscript figure available by request version
appearing in Prog. Theore. Phys | Prog.Theor.Phys. 98 (1997) 707-718 | 10.1143/PTP.98.707 | NBI-HE-96-05, OWUAM-012 | quant-ph | null | We discuss a spectrum generating algebra in the supersymmetric quantum
mechanical system which is defined as a series of solutions to a specific
differential equation. All Hamiltonians have equally spaced eigenvalues, and we
realize both positive and negative mode generators of a subalgebra of
$W_{1+\infty}$ without use of negative power of raising/lowering operators of
the system. All features in the supersymmetric case are generalized to the
parasupersymmetric systems of order 2.
| [
{
"version": "v1",
"created": "Fri, 26 Jan 1996 09:59:04 GMT"
},
{
"version": "v2",
"created": "Wed, 6 Aug 1997 08:55:49 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Aizawa",
"N.",
""
],
[
"Sato",
"H. -T.",
""
]
] |
quant-ph/9601027 | David Politzer | H. David Politzer | Light scattering off cold, trapped bosons | The computer code on which this paper relied contained an error. When
corrected, the Monte Carlo evaluation of the ground state occupation is
consistent with the conventional grand canonical calculation. Hence, the
original version of this paper has been withdrawn | null | null | null | quant-ph | null | The computer code on which this paper relied contained an error. When
corrected, the Monte Carlo evaluation of the ground state occupation is
consistent with the conventional grand canonical calculation. Hence, the
original version of this paper has been withdrawn.
| [
{
"version": "v1",
"created": "Mon, 29 Jan 1996 00:45:21 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Mar 1996 23:43:07 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Politzer",
"H. David",
""
]
] |
quant-ph/9601028 | David Politzer | H. David Politzer | Ideal Bose gas limit of trapped atoms | The computer code on which this paper relied contained an error. When
corrected, the Monte Carlo evaluation of the ground state occupation is
consistent with the conventional grand canonical calculation. Hence, the
original version of this paper has been withdrawn | null | null | null | quant-ph | null | The computer code on which this paper relied contained an error. When
corrected, the Monte Carlo evaluation of the ground state occupation is
consistent with the conventional grand canonical calculation. Hence, the
original version of this paper has been withdrawn.
| [
{
"version": "v1",
"created": "Mon, 29 Jan 1996 01:00:10 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Mar 1996 23:48:44 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Politzer",
"H. David",
""
]
] |
quant-ph/9601029 | Andrew Steane | Andrew Steane (Clarendon Laboratory, Oxford University) | Multiple Particle Interference and Quantum Error Correction | Submitted to Proc. Roy. Soc. Lond. A. in November 1995, accepted May
1996. 39 pages, 6 figures. This is now the final version. The changes are
some added references, changed final figure, and a more precise use of the
word `decoherence'. I would like to propose the word `defection' for a
general unknown error of a single qubit (rotation and/or entanglement). It is
useful because it captures the nature of the error process, and has a verb
form `to defect'. Random unitary changes (rotations) of a qubit are caused by
defects in the quantum computer; to entangle randomly with the environment is
to form a treacherous alliance with an enemy of successful quantum | Proc.Roy.Soc.Lond. A452 (1996) 2551 | 10.1098/rspa.1996.0136 | null | quant-ph | null | The concept of multiple particle interference is discussed, using insights
provided by the classical theory of error correcting codes. This leads to a
discussion of error correction in a quantum communication channel or a quantum
computer. Methods of error correction in the quantum regime are presented, and
their limitations assessed. A quantum channel can recover from arbitrary
decoherence of x qubits if K bits of quantum information are encoded using n
quantum bits, where K/n can be greater than 1-2 H(2x/n), but must be less than
1 - 2 H(x/n). This implies exponential reduction of decoherence with only a
polynomial increase in the computing resources required. Therefore quantum
computation can be made free of errors in the presence of physically realistic
levels of decoherence. The methods also allow isolation of quantum
communication from noise and evesdropping (quantum privacy amplification).
| [
{
"version": "v1",
"created": "Mon, 29 Jan 1996 18:05:15 GMT"
},
{
"version": "v2",
"created": "Tue, 30 Jan 1996 17:45:24 GMT"
},
{
"version": "v3",
"created": "Mon, 13 May 1996 10:43:34 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Steane",
"Andrew",
"",
"Clarendon Laboratory, Oxford University"
]
] |
quant-ph/9601030 | null | V.Spiridonov (CRM, Univ. de Montreal) | Universal Superpositions of Coherent States and Self-Similar Potentials | 68 pages, LATEX, no figures | Phys.Rev. A52 (1995) 1909-1935 | 10.1103/PhysRevA.52.1909 | null | quant-ph cond-mat hep-th math.QA nlin.SI q-alg solv-int | null | A variety of coherent states of the harmonic oscillator is considered. It is
formed by a particular superposition of canonical coherent states. In the
simplest case, these superpositions are eigenfunctions of the annihilation
operator $A=P(d/dx+x)/\sqrt2$, where $P$ is the parity operator. Such $A$
arises naturally in the $q\to -1$ limit for a symmetry operator of a specific
self-similar potential obeying the $q$-Weyl algebra, $AA^\dagger-q^2A^\dagger
A=1$. Coherent states for this and other reflectionless potentials whose
discrete spectra consist of $N$ geometric series are analyzed. In the harmonic
oscillator limit the surviving part of these states takes the form of
orthonormal superpositions of $N$ canonical coherent states
$|\epsilon^k\alpha\rangle$, $k=0, 1, \dots, N-1$, where $\epsilon$ is a
primitive $N$th root of unity, $\epsilon^N=1$. A class of $q$-coherent states
related to the bilateral $q$-hypergeometric series and Ramanujan type integrals
is described. It includes a curious set of coherent states of the free
nonrelativistic particle which is interpreted as a $q$-algebraic system without
discrete spectrum. A special degenerate form of the symmetry algebras of
self-similar potentials is found to provide a natural $q$-analog of the Floquet
theory. Some properties of the factorization method, which is used throughout
the paper, are discussed from the differential Galois theory point of view.
| [
{
"version": "v1",
"created": "Tue, 30 Jan 1996 17:09:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Spiridonov",
"V.",
"",
"CRM, Univ. de Montreal"
]
] |
quant-ph/9602001 | Lawrence Horwitz | L.P. Horwitz (School of Physics, Raymond and Beverly Sackler Faculty
of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel, and Department of
Physics, Bar Ilan University, Ramat Gan, Israel) | Hypercomplex quantum mechanics | Plain Tex, 11 pages | null | 10.1007/BF02058638 | TAUP 2309-95 | quant-ph | null | The fundamental axioms of the quantum theory do not explicitly identify the
algebraic structure of the linear space for which orthogonal subspaces
correspond to the propositions (equivalence classes of physical questions). The
projective geometry of the weakly modular orthocomplemented lattice of
propositions may be imbedded in a complex Hilbert space; this is the structure
which has traditionally been used. This paper reviews some work which has been
devoted to generalizing the target space of this imbedding to Hilbert modules
of a more general type. In particular, detailed discussion is given of the
simplest generalization of the complex Hilbert space, that of the quaternion
Hilbert module.
| [
{
"version": "v1",
"created": "Thu, 1 Feb 1996 19:06:44 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Horwitz",
"L. P.",
"",
"School of Physics, Raymond and Beverly Sackler Faculty\n of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel, and Department of\n Physics, Bar Ilan University, Ramat Gan, Israel"
]
] |
quant-ph/9602002 | Jeong-Young Ji | Jong-Chan Park, Jeong-Young Ji and Kwang-Sup Soh | Method for Detecting Berry's Phase in a Modified Paul Trap | 18 pages revTeX, 4 figures included as epsfig.sty; to be published in
J. Korean Phys. Soc | J.KoreanPhys.Soc.30:7,1997 | null | SNUTP 96-005 | quant-ph hep-th | null | We modify the time-dependent electric potential of the Paul trap from a
sinusoidal waveform to a square waveform. The exact quantum motion and the
Berry's phase of an electron in the modified Paul trap are found in an
analytically closed form. We consider a scheme to detect the Berry's phase by a
Bohm-Aharonov-type interference experiment and point out a critical property
which renders it practicable.
| [
{
"version": "v1",
"created": "Fri, 2 Feb 1996 19:59:08 GMT"
},
{
"version": "v2",
"created": "Fri, 3 Jan 1997 15:52:00 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Park",
"Jong-Chan",
""
],
[
"Ji",
"Jeong-Young",
""
],
[
"Soh",
"Kwang-Sup",
""
]
] |
quant-ph/9602003 | Abdel Perez Lorenzana | A. P\'erez-Lorenzana | Factorization, ladder operators and isospectral structures | 12 pages, Latex file, uses ioplppt.sty, no figures | null | null | null | quant-ph | null | Using the modified factorization method employed by Mielnik for the harmonic
oscillator, we show that isospectral structures associated with a second order
operator $H$, can always be constructed whenever $H$ could be factored, or
exist ladder operators for its eigenfunctions. Three examples are shown, and
properties like completeness and integrability are discused for the general
case.
| [
{
"version": "v1",
"created": "Tue, 6 Feb 1996 18:23:27 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Pérez-Lorenzana",
"A.",
""
]
] |
quant-ph/9602004 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Time-Frequency Transfer with Quantum Fields | 4 pages | Phys.Rev.Lett. 76 (1996) 2407-2411 | 10.1103/PhysRevLett.76.2407 | LPTENS 96/02 | quant-ph gr-qc | null | Clock synchronisation relies on time-frequency transfer procedures which
involve quantum fields. We use the conformal symmetry of such fields to define
as quantum operators the time and frequency exchanged in transfer procedures
and to describe their transformation under transformations to inertial or
accelerated frames. We show that the classical laws of relativity are changed
when brought in the framework of quantum theory.
| [
{
"version": "v1",
"created": "Thu, 8 Feb 1996 10:47:12 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9602005 | Gardo Blado | Gardo Garnet Blado | Supersymmetry and the Hartmann Potential of Theoretical Chemistry | 24 pages; uses LaTex; to be published at the Theoretica Chimica Acta;
hard copy available from the author upon request (use address:
[email protected]) | Theoretica Chimica Acta, volume 94, July, 1996, page 53 | null | null | quant-ph | null | The ring-shaped Hartmann potential $ V = \eta \sigma^{2} \epsilon_{0} \left(
\frac{2 a_{0}}{r} - \frac{\eta a_{0}^{2}}{r^{2} sin^{2} \theta} \right) $ was
introduced in quantum chemistry to describe ring-shaped molecules like benzene.
In this article, the supersymmetric features of the Hartmann potential are
discussed. We first review the results of a previous paper in which we
rederived the eigenvalues and radial eigenfunctions of the Hartmann potential
using a formulation of one-dimensional supersymmetric quantum mechanics
(SUSYQM) on the half-line $\left[ 0, \infty \right)$. A reformulation of SUSYQM
in the full line $\left( -\infty, \infty \right)$ is subsequently developed. It
is found that the second formulation makes a connection between states having
the same quantum number $L$ but different values of $\eta \sigma^{2}$ and
quantum number $N$. This is in contrast to the first formulation, which relates
states with identical values of the quantum number $N$ and $\eta \sigma^{2}$
but different values of the quantum number $L$.
| [
{
"version": "v1",
"created": "Thu, 8 Feb 1996 14:51:10 GMT"
}
] | 2013-12-19T00:00:00 | [
[
"Blado",
"Gardo Garnet",
""
]
] |
quant-ph/9602006 | null | Euan Squires | What are quantum theorists doing at a conference on consciousness? | 9 pages, tex file | null | null | null | quant-ph | null | The reason why orthodox quantum theory necessarily invokes consciousness is
explained. Several procedures whereby the Born probability rule can be
introduced are discussed, and reasons are given for prefering one in which
consciousness selects a unique realised world. Consciousness is something
outside of the laws of physics (quantum mechanics), but it has a real effect
upon the experienced world. Finally, orthodox quantum theory is shown to
require that consciousness acts non-locally.
| [
{
"version": "v1",
"created": "Fri, 9 Feb 1996 14:30:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Squires",
"Euan",
""
]
] |
quant-ph/9602007 | null | Alan Kostelecky and Neil Russell | Radial Coulomb and Oscillator Systems in Arbitrary Dimensions | accepted for publication in J. Math. Phys | J.Math.Phys.37:2166-2181,1996 | 10.1063/1.531504 | IUHET 322, November 1995 | quant-ph | null | A mapping is obtained relating analytical radial Coulomb systems in any
dimension greater than one to analytical radial oscillators in any dimension.
This mapping, involving supersymmetry-based quantum-defect theory, is possible
for dimensions unavailable to conventional mappings. Among the special cases is
an injection from bound states of the three-dimensional radial Coulomb system
into a three-dimensional radial isotropic oscillator where one of the two
systems has an analytical quantum defect. The issue of mapping the continuum
states is briefly considered.
| [
{
"version": "v1",
"created": "Sat, 10 Feb 1996 18:07:07 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Kostelecky",
"Alan",
""
],
[
"Russell",
"Neil",
""
]
] |
quant-ph/9602008 | M. Czachor | Marek Czachor | Manifestly Covariant Approach to Bargmann-Wigner Fields (II): From
spin-frames to Bargmann-Wigner spinors | revtex, 14 pages | null | null | null | quant-ph gr-qc hep-th | null | The Bargmann-Wigner (BW) scalar product is a particular case of a larger
class of scalar products parametrized by a family of world-vectors. The choice
of null and $p$-dependent world-vectors leads to BW amplitudes which behave as
local $SU(2)$ spinors (BW-spinors) if {\it passive\/} transformations are
concerned. The choice of null directions leads to a simplified formalism which
allows for an application of ordinary, manifestly covariant spinor techniques
in the context of infinite dimensional unitary representations of the
Poincar\'e group.
| [
{
"version": "v1",
"created": "Mon, 12 Feb 1996 15:08:56 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9602009 | Lev Vaidman | Y. Aharonov and L. Vaidman | Protective Measurements of Two-State Vectors | TeX, 11 pages | null | null | TAUP 2316-96 | quant-ph | null | A recent result about measurability of a quantum state of a single quantum
system is generalized to the case of a single pre- and post-selected quantum
system described by a two-state vector. The protection required for such
measurement is achieved by coupling the quantum system to a pre- and
post-selected protected device yielding a nonhermitian effective Hamiltonian.
| [
{
"version": "v1",
"created": "Mon, 12 Feb 1996 15:45:33 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Aharonov",
"Y.",
""
],
[
"Vaidman",
"L.",
""
]
] |
quant-ph/9602010 | Arkadiusz Jadczyk | Ph. Blanchard, A. Jadczyk | Time of Events in Quantum Theory | 25 pages, LaTeX, 6 postscript figures | Helv.Phys.Acta 69 (1996) 613-635 | null | BiBoS 720/1/96 Submitted to Helv.Phys.Acta The new version of Feb.
20 corrects several misprints in formulas, adds few helpful comments and also
adds few new entries to the bibliography | quant-ph cond-mat funct-an gr-qc hep-th math.FA | null | We enhance elementary quantum mechanics with three simple postulates that
enable us to define time observable. We discuss shortly justification of the
new postulates and illustrate the concept with the detailed analysis of a delta
function counter.
| [
{
"version": "v1",
"created": "Tue, 13 Feb 1996 23:43:23 GMT"
},
{
"version": "v2",
"created": "Wed, 14 Feb 1996 16:25:01 GMT"
},
{
"version": "v3",
"created": "Tue, 20 Feb 1996 10:56:31 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Blanchard",
"Ph.",
""
],
[
"Jadczyk",
"A.",
""
]
] |
quant-ph/9602011 | Serge Massar | Y. Aharonov, S. Massar, S. Popescu, J. Tollaksen, and L. Vaidman | Adiabatic Measurements on Metastable Systems | RevTeX, 4 pages | Phys.Rev.Lett. 77 (1996) 983-987 | 10.1103/PhysRevLett.77.983 | TAUP 2315-96 | quant-ph | null | In several situations, most notably when describing metastable states, a
system can evolve according to an effective non hermitian Hamiltonian. To each
eigenvalue of a non hermitian Hamiltonian is associated an eigenstate
$\vert\phi\rangle$ which evolves forward in time and an eigenstate
$\langle{\psi}\vert$ which evolves backward in time. Quantum measurements on
such systems are analyzed in detail with particular emphasis on adiabatic
measurements in which the measuring device is coupled weakly to the system. It
is shown that in this case the outcome of the measurement of an observable $A$
is the weak value $\langle{\psi}\vert A\vert\phi\rangle /
\langle{\psi}\vert{\phi}\rangle $ associated to the two-state vector
$\langle{\psi}\vert$ $\vert\phi\rangle$ corresponding to one of the eigenvalues
of the non hermitian Hamiltonian. The possibility of performing such
measurements in a laboratory is discussed.
| [
{
"version": "v1",
"created": "Tue, 13 Feb 1996 17:04:23 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Aharonov",
"Y.",
""
],
[
"Massar",
"S.",
""
],
[
"Popescu",
"S.",
""
],
[
"Tollaksen",
"J.",
""
],
[
"Vaidman",
"L.",
""
]
] |
quant-ph/9602012 | null | A. Scotti and A. Ushveridze | Non-linear Quantization of Integrable Classical Systems | LaTeX, 14 pp | J.Math.Phys. 38 (1997) 4073-4085 | 10.1063/1.532084 | null | quant-ph | null | It is demonstrated that the so-called "unavoidable quantum anomalies" can be
avoided in the farmework of a special non-linear quantization scheme. A simple
example is discussed in detail.
| [
{
"version": "v1",
"created": "Wed, 14 Feb 1996 13:24:06 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Scotti",
"A.",
""
],
[
"Ushveridze",
"A.",
""
]
] |
quant-ph/9602013 | Edwin R. Karat | Edwin R. Karat and Michael B. Schulz | Self-Adjoint Extensions of the Pauli Equation in the Presence of a
Magnetic Monopole | revised version to be published in Annals of Physics (includes a new
section comparing the Pauli case to the Dirac case, as well as other
improvements), 17 pages, LaTex (using RevTex) | Annals Phys. 254 (1997) 11-24 | 10.1006/aphy.1996.5638 | AOP 63677 | quant-ph hep-th | null | We discuss the Hamiltonian for a nonrelativistic electron with spin in the
presence of an abelian magnetic monopole and note that it is not self-adjoint
in the lowest two angular momentum modes. We then use von Neumann's theory of
self-adjoint extensions to construct a self-adjoint operator with the same
functional form. In general, this operator will have eigenstates in which the
lowest two angular momentum modes mix, thereby removing conservation of angular
momentum. However, consistency with the solutions of the Dirac equation limits
the possibilities such that conservation of angular momentum is restored.
Because the same effect occurs for a spinless particle with a sufficiently
attractive inverse square potential, we also study this system. We use this
simpler Hamiltonian to compare the eigenfunctions corresponding to a particular
self-adjoint extension with the eigenfunctions satisfying a boundary condition
consistent with probability conservation.
| [
{
"version": "v1",
"created": "Sun, 18 Feb 1996 06:50:01 GMT"
},
{
"version": "v2",
"created": "Tue, 22 Oct 1996 06:19:31 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Karat",
"Edwin R.",
""
],
[
"Schulz",
"Michael B.",
""
]
] |
quant-ph/9602014 | Christopher Fuchs | Gilles Brassard (Departement IRO, Universite de Montreal) | New Trends in Quantum Computing | 8 pages. Presented at the 13th Symposium on Theoretical Aspects of
Computer Science, Grenoble, 22 February 1996. Will appear in the proceedings,
Lecture Notes in Computer Science, Springer-Verlag. Standard LaTeX. Requires
llncs.sty (included) | null | null | null | quant-ph | null | Classical and quantum information are very different. Together they can
perform feats that neither could achieve alone, such as quantum computing,
quantum cryptography and quantum teleportation. Some of the applications range
from helping to preventing spies from reading private communications. Among the
tools that will facilitate their implementation, we note quantum purification
and quantum error correction. Although some of these ideas are still beyond the
grasp of current technology, quantum cryptography has been implemented and the
prospects are encouraging for small-scale prototypes of quantum computation
devices before the end of the millennium.
| [
{
"version": "v1",
"created": "Mon, 19 Feb 1996 22:58:27 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Brassard",
"Gilles",
"",
"Departement IRO, Universite de Montreal"
]
] |
quant-ph/9602015 | Segev Bilha | M. S. Marinov, Bilha Segev (Phys. Dep. Technion, Haifa, Israel) | Analytical properties of scattering amplitudes in one-dimensional
quantum theory | 15 pages, LATEX, no figures | null | 10.1088/0305-4470/29/11/018 | null | quant-ph | null | One-dimensional quantum scattering from a local potential barrier is
considered. Analytical properties of the scattering amplitudes have been
investigated by means of the integral equations equivalent to the Schrodinger
equations. The transition and reflection amplitudes are expressed in terms of
two complex functions of the incident energy, which are similar to the Jost
function in the partial-wave scattering. These functions are entire for
finite-range potentials and meromorphic for exponentially decreasing
potentials. The analytical properties result from locality of the potential in
the wave equation and represent the effect of causality in time dependence of
the scattering process.
| [
{
"version": "v1",
"created": "Tue, 20 Feb 1996 09:56:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Marinov",
"M. S.",
"",
"Phys. Dep. Technion, Haifa, Israel"
],
[
"Segev",
"Bilha",
"",
"Phys. Dep. Technion, Haifa, Israel"
]
] |
quant-ph/9602016 | John Preskill | David Beckman, Amalavoyal N. Chari, Srikrishna Devabhaktuni, John
Preskill (Caltech) | Efficient Networks for Quantum Factoring | 56 pages, 22 figures, uses REVTeX, epsf | Phys. Rev.A54:1034-1063,1996 | 10.1103/PhysRevA.54.1034 | CALT-68-2021 | quant-ph | null | We consider how to optimize memory use and computation time in operating a
quantum computer. In particular, we estimate the number of memory qubits and
the number of operations required to perform factorization, using the algorithm
suggested by Shor. A $K$-bit number can be factored in time of order $K^3$
using a machine capable of storing $5K+1$ qubits. Evaluation of the modular
exponential function (the bottleneck of Shor's algorithm) could be achieved
with about $72 K^3$ elementary quantum gates; implementation using a linear ion
trap would require about $396 K^3$ laser pulses. A proof-of-principle
demonstration of quantum factoring (factorization of 15) could be performed
with only 6 trapped ions and 38 laser pulses. Though the ion trap may never be
a useful computer, it will be a powerful device for exploring experimentally
the properties of entangled quantum states.
| [
{
"version": "v1",
"created": "Wed, 21 Feb 1996 22:36:14 GMT"
}
] | 2008-12-19T00:00:00 | [
[
"Beckman",
"David",
"",
"Caltech"
],
[
"Chari",
"Amalavoyal N.",
"",
"Caltech"
],
[
"Devabhaktuni",
"Srikrishna",
"",
"Caltech"
],
[
"Preskill",
"John",
"",
"Caltech"
]
] |
quant-ph/9602017 | Segev Bilha | M. S. Marinov, Bilha Segev (Phys. Dep. Technion, Haifa, Israel) | Quantum Tunneling in the Wigner Representation | 18 pages, LATEX, no figures | null | 10.1103/PhysRevA.54.4752 | null | quant-ph | null | Time dependence for barrier penetration is considered in the phase space. An
asymptotic phase-space propagator for nonrelativistic scattering on a one -
dimensional barrier is constructed. The propagator has a form universal for
various initial state preparations and local potential barriers. It is
manifestly causal and includes time-lag effects and quantum spreading. Specific
features of quantum dynamics which disappear in the standard semi-classical
approximation are revealed. The propagator may be applied to calculation of the
final momentum and coordinate distributions, for particles transmitted through
or reflected from the potential barrier, as well as for elucidating the
tunneling time problem.
| [
{
"version": "v1",
"created": "Fri, 23 Feb 1996 07:10:58 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Marinov",
"M. S.",
"",
"Phys. Dep. Technion, Haifa, Israel"
],
[
"Segev",
"Bilha",
"",
"Phys. Dep. Technion, Haifa, Israel"
]
] |
quant-ph/9602018 | Isaac Chuang | Isaac L. Chuang, Raymond Laflamme, Juan-Pablo Paz | Effects of Loss and Decoherence on a Simple Quantum Computer | 6 pages, revtex, figures also available at
http://feynman.stanford.edu/qcomp/ | null | null | null | quant-ph | null | We investigate the impact of loss (amplitude damping) and decoherence (phase
damping) on the performance of a simple quantum computer which solves the
one-bit Deutsch problem. The components of this machine are beamsplitters and
nonlinear optical Kerr cells, but errors primarily originate from the latter.
We develop models to describe the effect of these errors on a quantum optical
Fredkin gate. The results are used to analyze possible error correction
strategies in a complete quantum computer. We find that errors due to loss can
be avoided perfectly by appropriate design techniques, while decoherence can be
partially dealt with using projective error correction.
| [
{
"version": "v1",
"created": "Tue, 27 Feb 1996 15:26:48 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Chuang",
"Isaac L.",
""
],
[
"Laflamme",
"Raymond",
""
],
[
"Paz",
"Juan-Pablo",
""
]
] |
quant-ph/9602019 | Raymond LaFlamme | Raymond Laflamme, Cesar Miquel, Juan Pablo Paz and Wojciech Hubert
Zurek | Perfect Quantum Error Correction Code | 4 pages (including figures), latex file using RevTex | null | null | null | quant-ph | null | We present a quantum error correction code which protects a qubit of
information against general one qubit errors which maybe caused by the
interaction with the environment. To accomplish this, we encode the original
state by distributing quantum information over five qubits, the minimal number
required for this task. We give a simple circuit which takes the initial state
with four extra qubits in the state |0> to the encoded state. The circuit can
be converted into a decoding one by simply running it backward. Reading the
extra four qubits at the decoder's output we learn which one of the sixteen
alternatives (no error plus all fifteen possible 1-bit errors) was realized.
The original state of the encoded qubit can then be restored by a simple
unitary transformation.
| [
{
"version": "v1",
"created": "Tue, 27 Feb 1996 17:27:56 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Laflamme",
"Raymond",
""
],
[
"Miquel",
"Cesar",
""
],
[
"Paz",
"Juan Pablo",
""
],
[
"Zurek",
"Wojciech Hubert",
""
]
] |
quant-ph/9602020 | Huw Price | Huw Price (Philosophy, University of Sydney) | Locality, Independence and the Pro-Liberty Bell | 9 pages, postscript, including 3 figures. A talk presented at the
10th LMPS Congress, Florence, 1995; available from
http://plato.stanford.edu/price/publications.html in other formats | null | null | null | quant-ph | null | Construed as an argument against hidden variable theories, Bell's Theorem
assumes that hidden variables would be independent of future measurement
settings. This Independence Assumption (IA) is rarely questioned. Bell
considered relaxing it to avoid non-locality, but thought that the resulting
view left no room for free will. However, Bell seems to have failed to
distinguish two different strategies for giving up IA. One strategy takes for
granted the Principle of the Common Cause, which requires that a correlation
between hidden variables and measurement settings be explained by a joint
correlation with some unknown factor in their common past. The other strategy
rejects the Principle of the Common Cause, and argues that the required
correlation might be due to the known interaction between the object system and
the measuring device in their common future. Bell and most others who have
discussed these issues have focussed on the former strategy, but because the
two approaches have not been properly distinguished, it has not been well
appreciated that there is a quite different way to relax IA. This paper
distinguishes the two strategies, and argues that the latter is considerably
more appealing than the former.
| [
{
"version": "v1",
"created": "Wed, 28 Feb 1996 00:54:30 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Price",
"Huw",
"",
"Philosophy, University of Sydney"
]
] |
quant-ph/9602021 | Pivi T{\o}rm | P. Torma and S. Stenholm | Polarization in Quantum Computations | 15 pages, 5 Postscript figures | null | null | HU-TFT-96-1 | quant-ph | null | We propose a realization of quantum computing using polarized photons. The
information is coded in two polarization directions of the photons and
two-qubit operations are done using conditional Faraday effect. We investigate
the performance of the system as a computing device.
| [
{
"version": "v1",
"created": "Thu, 29 Feb 1996 06:39:57 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Torma",
"P.",
""
],
[
"Stenholm",
"S.",
""
]
] |
quant-ph/9602022 | Chiara Macchiavello | A. Ekert and C. Macchiavello (University of Oxford) | Error Correction in Quantum Communication | 9 pages, LaTex file | null | null | null | quant-ph | null | We show how procedures which can correct phase and amplitude errors can be
directly applied to correct errors due to quantum entanglement. We specify
general criteria for quantum error correction, introduce quantum versions of
the Hamming and the Gilbert-Varshamov bounds and comment on the practical
implementation of quantum codes.
| [
{
"version": "v1",
"created": "Thu, 29 Feb 1996 10:15:11 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ekert",
"A.",
"",
"University of Oxford"
],
[
"Macchiavello",
"C.",
"",
"University of Oxford"
]
] |
quant-ph/9602023 | Daniel Mason | Richard J. Micanek (Dept. of Physics, University of California, Santa
Barbara, CA), James B. Hartle (Institute for Theoretical Physics, University
of California, Santa Barbara, CA) | Nearly Instantaneous Alternatives in Quantum Mechanics | 12 pages, harvmac, no figures | Phys.Rev. A54 (1996) 3795 | 10.1103/PhysRevA.54.3795 | NSF-ITP-96-13 | quant-ph gr-qc | null | Usual quantum mechanics predicts probabilities for the outcomes of
measurements carried out at definite moments of time. However, realistic
measurements do not take place in an instant, but are extended over a period of
time. The assumption of instantaneous alternatives in usual quantum mechanics
is an approximation whose validity can be investigated in the generalized
quantum mechanics of closed systems in which probabilities are predicted for
spacetime alternatives that extend over time. In this paper we investigate how
alternatives extended over time reduce to the usual instantaneous alternatives
in a simple model in non-relativistic quantum mechanics. Specifically, we show
how the decoherence of a particular set of spacetime alternatives becomes
automatic as the time over which they extend approaches zero and estimate how
large this time can be before the interference between the alternatives becomes
non-negligible. These results suggest that the time scale over which coarse
grainings of such quantities as the center of mass position of a massive body
may be extended in time before producing significant interference is much
longer than characteristic dynamical time scales.
| [
{
"version": "v1",
"created": "Thu, 29 Feb 1996 22:10:53 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Micanek",
"Richard J.",
"",
"Dept. of Physics, University of California, Santa\n Barbara, CA"
],
[
"Hartle",
"James B.",
"",
"Institute for Theoretical Physics, University\n of California, Santa Barbara, CA"
]
] |
quant-ph/9603001 | Terence Rudolph | T.Rudolph (Dept. of Physics, York Univ. Toronto) | Quantum computing Hamiltonian cycles | 4 pages, LaTex, 2 figures | null | null | null | quant-ph | null | An algorithm for quantum computing Hamiltonian cycles of simple, cubic,
bipartite graphs is discussed. It is shown that it is possible to evolve a
quantum computer into an entanglement of states which map onto the set of all
possible paths originating from a chosen vertex, and furthermore to
subsequently project out all states not corresponding to Hamiltonian cycles.
| [
{
"version": "v1",
"created": "Sun, 3 Mar 1996 05:10:39 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Rudolph",
"T.",
"",
"Dept. of Physics, York Univ. Toronto"
]
] |
quant-ph/9603002 | null | S. Mancini, V. I. Man'ko, P.Tombesi | Symplectic tomography as classical approach to quantum systems | 12 pages, LATEX,preprint of Camerino University, to appear in
Phys.Lett.A (1996) | Phys.Lett. A213 (1996) 1 | 10.1016/0375-9601(96)00107-7 | null | quant-ph | null | By using a generalization of the optical tomography technique we describe the
dynamics of a quantum system in terms of equations for a purely classical
probability distribution which contains complete information about the system.
| [
{
"version": "v1",
"created": "Sun, 3 Mar 1996 10:27:10 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mancini",
"S.",
""
],
[
"Man'ko",
"V. I.",
""
],
[
"Tombesi",
"P.",
""
]
] |
quant-ph/9603003 | Yakov Shnir | E. A. Tolkachev (Minsk), L. M. Tomilchik (Minsk), Ya. M. Shnir
(Berlin) | On The Space Reflections Definition Problem in a Magnetic Charge Theory | 6 pages, LaTex, talk at the BARUT Memorial Conference on Group Theory
in Physics (Edirne, Turkey, 21-27 December 1995) | null | null | null | quant-ph | null | A new way to define the operation of P-inversion in the theory with a
magnetic charge is presented.
| [
{
"version": "v1",
"created": "Fri, 1 Mar 1996 10:43:03 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Tolkachev",
"E. A.",
"",
"Minsk"
],
[
"Tomilchik",
"L. M.",
"",
"Minsk"
],
[
"Shnir",
"Ya. M.",
"",
"Berlin"
]
] |
quant-ph/9603004 | Hoi-Kwong Lo | Hoi-Kwong Lo and H. F. Chau | Is Quantum Bit Commitment Really Possible? | Major revisions to include a more extensive introduction and an
example of bit commitment. Overlap with independent work by Mayers
acknowledged. More recent works by Mayers, by Lo and Chau and by Lo are also
noted. Accepted for publication in Phys. Rev. Lett | Phys. Rev. Lett. 78, 3410 (1997) | 10.1103/PhysRevLett.78.3410 | null | quant-ph cs.CR | null | We show that all proposed quantum bit commitment schemes are insecure because
the sender, Alice, can almost always cheat successfully by using an
Einstein-Podolsky-Rosen type of attack and delaying her measurement until she
opens her commitment.
| [
{
"version": "v1",
"created": "Mon, 4 Mar 1996 20:57:53 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Apr 1997 19:10:25 GMT"
}
] | 2016-08-25T00:00:00 | [
[
"Lo",
"Hoi-Kwong",
""
],
[
"Chau",
"H. F.",
""
]
] |
quant-ph/9603005 | Nicholas Landsman | N.P. Landsman (DAMTP, Cambridge) | Poisson spaces with a transition probability | 23 pages, LaTeX, many details added | Rev.Math.Phys. 9 (1997) 29-58 | 10.1142/S0129055X97000038 | null | quant-ph | null | The common structure of the space of pure states $P$ of a classical or a
quantum mechanical system is that of a Poisson space with a transition
probability. This is a topological space equipped with a Poisson structure, as
well as with a function $p:P\times P-> [0,1]$, with certain properties. The
Poisson structure is connected with the transition probabilities through
unitarity (in a specific formulation intrinsic to the given context).
In classical mechanics, where $p(\rho,\sigma)=\dl_{\rho\sigma}$, unitarity
poses no restriction on the Poisson structure. Quantum mechanics is
characterized by a specific (complex Hilbert space) form of $p$, and by the
property that the irreducible components of $P$ as a transition probability
space coincide with the symplectic leaves of $P$ as a Poisson space. In
conjunction, these stipulations determine the Poisson structure of quantum
mechanics up to a multiplicative constant (identified with Planck's constant).
Motivated by E.M. Alfsen, H. Hanche-Olsen and F.W. Shultz ({\em Acta Math.}
{\bf 144} (1980) 267-305) and F.W. Shultz ({\em Commun.\ Math.\ Phys.} {\bf 82}
(1982) 497-509), we give axioms guaranteeing that $P$ is the space of pure
states of a unital $C^*$-algebra. We give an explicit construction of this
algebra from $P$.
| [
{
"version": "v1",
"created": "Tue, 5 Mar 1996 18:36:20 GMT"
},
{
"version": "v2",
"created": "Mon, 10 Jun 1996 17:17:36 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Landsman",
"N. P.",
"",
"DAMTP, Cambridge"
]
] |
quant-ph/9603006 | Markus Simonius | Markus Simonius (ETH-Zuerich, Switzerland) | Quantum Interferometry: Some Basic Features Revisited | 2 pages A4, LaTeX | Helv. Phys. Acta Suppl. 69 (1996) 15 | null | null | quant-ph | null | The reduction paradigm of quantum interferometry is reanalyzed. In contrast
to widespread opinion it is shown to be amenable to straightforward
mathematical treatment within ``every-users'' simple-minded single particle
quantum mechanics (without reduction postulate or the like), exploiting only
its probabilistic content.
| [
{
"version": "v1",
"created": "Wed, 6 Mar 1996 17:49:18 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Simonius",
"Markus",
"",
"ETH-Zuerich, Switzerland"
]
] |
quant-ph/9603007 | Shmuel Gurvitz | S.A. Gurvitz | Quantum transport in mesoscopic systems and the measurement problem | 14 pages, three figures | null | null | WIS -- 96/12/Feb -- PH | quant-ph cond-mat | null | We study noninvasive measurement of stationary currents in mesoscopic
systems. It is shown that the measurement process is fully described by the
Schr\"odinger equation without any additional reduction postulate and without
the introduction of an observer. Nevertheless the possibility of observing a
particular state out of coherent superposition leads to collapse of the wave
function, even though the measured system is not distorted by interaction with
the detector. Experimental consequences are discussed.
| [
{
"version": "v1",
"created": "Wed, 6 Mar 1996 17:11:40 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Gurvitz",
"S. A.",
""
]
] |
quant-ph/9603008 | Max Tegmark | Max Tegmark | Does the universe in fact contain almost no information? | 17 pages, LATeX, no figures. Online with refs at
http://astro.berkeley.edu/~max/nihilo.html (faster from the US), from
http://www.mpa-garching.mpg.de/~max/nihilo.html (faster from Europe) or from
[email protected] | Found. Phys. Lett, 9, 25-42 (1996) | 10.1007/BF02186207 | null | quant-ph | null | At first sight, an accurate description of the state of the universe appears
to require a mind-bogglingly large and perhaps even infinite amount of
information, even if we restrict our attention to a small subsystem such as a
rabbit. In this paper, it is suggested that most of this information is merely
apparent, as seen from our subjective viewpoints, and that the algorithmic
information content of the universe as a whole is close to zero. It is argued
that if the Schr\"odinger equation is universally valid, then decoherence
together with the standard chaotic behavior of certain non-linear systems will
make the universe appear extremely complex to any self-aware subsets that
happen to inhabit it now, even if it was in a quite simple state shortly after
the big bang. For instance, gravitational instability would amplify the
microscopic primordial density fluctuations that are required by the Heisenberg
uncertainty principle into quite macroscopic inhomogeneities, forcing the
current wavefunction of the universe to contain such Byzantine superpositions
as our planet being in many macroscopically different places at once. Since
decoherence bars us from experiencing more than one macroscopic reality, we
would see seemingly complex constellations of stars etc, even if the initial
wavefunction of the universe was perfectly homogeneous and isotropic.
| [
{
"version": "v1",
"created": "Thu, 7 Mar 1996 15:48:03 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Tegmark",
"Max",
""
]
] |
quant-ph/9603009 | null | Richard Cleve (U. Calgary) and David P. DiVincenzo (IBM) | Schumacher's quantum data compression as a quantum computation | 37 pages, no figures | null | 10.1103/PhysRevA.54.2636 | null | quant-ph | null | An explicit algorithm for performing Schumacher's noiseless compression of
quantum bits is given. This algorithm is based on a combinatorial expression
for a particular bijection among binary strings. The algorithm, which adheres
to the rules of reversible programming, is expressed in a high-level pseudocode
language. It is implemented using $O(n^3)$ two- and three-bit primitive
reversible operations, where $n$ is the length of the qubit strings to be
compressed. Also, the algorithm makes use of $O(n)$ auxiliary qubits; however,
space-saving techniques based on those proposed by Bennett are developed which
reduce this workspace to $O(\sqrt{n})$ while increasing the running time by
less than a factor of two.
| [
{
"version": "v1",
"created": "Thu, 7 Mar 1996 21:06:15 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cleve",
"Richard",
"",
"U. Calgary"
],
[
"DiVincenzo",
"David P.",
"",
"IBM"
]
] |
quant-ph/9603010 | Farhad Ghaboussi | F. Ghaboussi | The Edge Currents in IQHE | 6 Pages, Latex | null | null | null | quant-ph | null | It is shown that an observed length in the potential drops across IQHE
samples is a universal length for a given magnetic field strength which has the
magnitude equal to the reciprocal magnitude of magnetic length and which
results from the quantum mechanical uncertainty relation in presence of
magnetic field. The analytic solution of Ohm's equation for the potential in
Corbino sample in IQHE is also given.
| [
{
"version": "v1",
"created": "Fri, 8 Mar 1996 11:26:38 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ghaboussi",
"F.",
""
]
] |
quant-ph/9603011 | Farhad Ghaboussi | F. Ghaboussi | On The Quantum Theory of Hall Effect | Latex | Int.J.Theor.Phys. 36 (1997) 923-934 | null | null | quant-ph | null | We discuss a model of both classical and integer quantum Hall-effect which is
based on a semi-classical Schroedinger-Chern-Simons-action, where the
Ohm-equations result as equations of motion. The quantization of the classical
Chern-Simons-part of action under typical quantum Hall conditions results in
the quantized Hall conductivity. We show further that the classical Hall-effect
is described by a theory which arises as the classical limit of a theory of
quantum Hall-effect. The model explains also the preference and the domain of
the edge currents on the boundary of samples.
| [
{
"version": "v1",
"created": "Fri, 8 Mar 1996 11:34:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ghaboussi",
"F.",
""
]
] |
quant-ph/9603012 | Farhad Ghaboussi | F. Ghaboussi | A Model Of The Integer Quantum Hall Effect | Latex | null | null | null | quant-ph | null | We discuss a model for the integer quantum Hall effect which is based on a
Schroedinger-Chern-Simons-action functional for a non-interacting system of
electrons in an electromagnetic field on a mutiply connected manifold. In this
model the integer values of the Hall conductivity arises in view of the
quantization of the Chern-Simons-action functional for electromagnetic
potential.
| [
{
"version": "v1",
"created": "Fri, 8 Mar 1996 11:40:16 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ghaboussi",
"F.",
""
]
] |
quant-ph/9603013 | Farhad Ghaboussi | F. Ghaboussi | On The relation between Superconductivity and Quantum Hall Effect | Latex | null | null | null | quant-ph | null | We introduce a model of superconductivity and discuss its relation to the
quantum Hall-effect. This kind of relation is supported by the well known SQUID
results. The concept of pure gauge potential as it is involved in various
theoretical models concerning solid state effects in magnetic fields is also
discussed.
| [
{
"version": "v1",
"created": "Fri, 8 Mar 1996 12:18:32 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ghaboussi",
"F.",
""
]
] |
quant-ph/9603014 | Howard Barnum | Howard Barnum, Christopher A. Fuchs, Richard Jozsa, Benjamin
Schumacher | A General Fidelity Limit for Quantum Channels | 14 pages, RevTeX. Submittted to Physical Review A | null | 10.1103/PhysRevA.54.4707 | null | quant-ph | null | We derive a general limit on the fidelity of a quantum channel conveying an
ensemble of pure states. Unlike previous results, this limit applies to
arbitrary coding and decoding schemes, including nonunitary decoding. This
establishes the converse of the quantum noiseless coding theorem for all such
schemes.
| [
{
"version": "v1",
"created": "Fri, 8 Mar 1996 20:32:57 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Barnum",
"Howard",
""
],
[
"Fuchs",
"Christopher A.",
""
],
[
"Jozsa",
"Richard",
""
],
[
"Schumacher",
"Benjamin",
""
]
] |
quant-ph/9603015 | Dominic Mayers | Dominic Mayers (Universite de Montreal) | The Trouble with Quantum Bit Commitment | 12 pages in revtex (preprint). This revised version contains one
minor algebraic modification | null | null | null | quant-ph | null | In a recent paper, Lo and Chau explain how to break a family of quantum bit
commitment schemes, and they claim that their attack applies to the 1993
protocol of Brassard, Cr\'epeau, Jozsa and Langlois (BCJL). The intuition
behind their attack is correct, and indeed they expose a weakness common to all
proposals of a certain kind, but the BCJL protocol does not fall in this
category. Nevertheless, it is true that the BCJL protocol is insecure, but the
required attack and proof are more subtle. Here we provide the first complete
proof that the BCJL protocol is insecure.
| [
{
"version": "v1",
"created": "Mon, 11 Mar 1996 02:50:49 GMT"
},
{
"version": "v2",
"created": "Sat, 23 Mar 1996 22:42:30 GMT"
},
{
"version": "v3",
"created": "Sun, 4 Aug 1996 18:18:49 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Mayers",
"Dominic",
"",
"Universite de Montreal"
]
] |
quant-ph/9603016 | null | Paul Busch, Pekka Lahti | Correlation properties of quantum measurements | 21 pages, to appear in J. Math. Phys | J.Math.Phys. 37 (1996) 2585-2601 | 10.1063/1.531530 | null | quant-ph | null | The kind of information provided by a measurement is determined in terms of
the correlation established between observables of the apparatus and the
measured system. Using the framework of quantum measurement theory, necessary
and sufficient conditions for a measurement interaction to produce strong
correlations are given and are found to be related to properties of the final
object and apparatus states. These general results are illustrated with
reference to the standard model of the quantum theory of measurement.
| [
{
"version": "v1",
"created": "Mon, 11 Mar 1996 13:35:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Busch",
"Paul",
""
],
[
"Lahti",
"Pekka",
""
]
] |
quant-ph/9603017 | M. Czachor | Marek Czachor | Einstein-Podolsky-Rosen-Bohm experiment with massive particles as a test
of relativistic center-of-mass position operator | revtex, 3 pages | null | null | null | quant-ph | null | The nonrelativistic singlet state average $\langle \psi|{\vec a}\cdot\vec
\sigma\otimes {\vec b}\cdot\vec \sigma|\psi\rangle =-\vec a\cdot\vec b $ can be
relativistically generalized if one defines spin {\it via\/} the relativistic
center-of-mass operator. The relativistic correction is quadratic in $v/c$ and
can be measured in Einstein-Podolsky-Rosen-Bohm-type experiments with massive
spin-1/2 particles. A deviation from the nonrelativistic formula would indicate
that for relativistic nonzero-spin particles centers of mass and charge do not
coincide.
| [
{
"version": "v1",
"created": "Tue, 12 Mar 1996 15:53:19 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9603018 | Segev Bilha | M. S. Marinov, Bilha Segev (Phys. Dep. Technion, Haifa, Israel) | On the concept of the tunneling time | 7 pages, LATEX, no figures | null | null | null | quant-ph | null | Asymptotic time evolution of a wave packet describing a non-relativistic
particle incident on a potential barrier is considered, using the Wigner
phase-space distribution. The distortion of the trasmitted wave packet is
determined by two time-like parameters, given by the energy derivative of the
complex transmission amplitude. The result is consistent with various
definitions of the tunneling time (e.g. the B\"{u}ttiker-Landauer time, the
complex time and Wigner's phase time). The speed-up effect and the negative
dispersion are discussed, and new experimental implications are considered.
| [
{
"version": "v1",
"created": "Wed, 13 Mar 1996 17:17:34 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Marinov",
"M. S.",
"",
"Phys. Dep. Technion, Haifa, Israel"
],
[
"Segev",
"Bilha",
"",
"Phys. Dep. Technion, Haifa, Israel"
]
] |
quant-ph/9603019 | null | J. Twamley | Bures and Statistical Distance for Squeezed Thermal States | 15 pages, 1 figure (not included - obtain from Author) To appear in
Journal of Physics A | J.Phys.A29:3723-3731,1996 | 10.1088/0305-4470/29/13/036 | UQ1521 | quant-ph | null | We compute the Bures distance between two thermal squeezed states and deduce
the Statistical Distance metric. By computing the curvature of this metric we
can identify regions of parameter space most sensitive to changes in these
parameters and thus lead to optimum detection statistics.
| [
{
"version": "v1",
"created": "Wed, 13 Mar 1996 17:15:44 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Twamley",
"J.",
""
]
] |
quant-ph/9603020 | null | Paul Busch, Pekka Lahti | The Standard Model of Quantum Measurement Theory: History and
Applications | 22 pages, to appear in Found. Phys. 1996 | null | 10.1007/BF02148831 | null | quant-ph | null | The standard model of the quantum theory of measurement is based on an
interaction Hamiltonian in which the observable-to-be-measured is multiplied
with some observable of a probe system. This simple Ansatz has proved extremely
fruitful in the development of the foundations of quantum mechanics. While the
ensuing type of models has often been argued to be rather artificial, recent
advances in quantum optics have demonstrated their prinicpal and practical
feasibility. A brief historical review of the standard model together with an
outline of its virtues and limitations are presented as an illustration of the
mutual inspiration that has always taken place between foundational and
experimental research in quantum physics.
| [
{
"version": "v1",
"created": "Thu, 14 Mar 1996 13:06:52 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Busch",
"Paul",
""
],
[
"Lahti",
"Pekka",
""
]
] |
quant-ph/9603021 | Ranjeet Tate | Norbert Grot, Carlo Rovelli, Ranjeet S. Tate (Department of Physics
and Astronomy, University of Pittsburgh, Pittsburgh PA, USA) | Time-of-arrival in quantum mechanics | Latex/Revtex, 20 pages. 2 figs included using epsf. Submitted to
Phys. Rev. A | Phys.Rev. A54 (1996) 4679 | 10.1103/PhysRevA.54.4676 | null | quant-ph gr-qc | null | We study the problem of computing the probability for the time-of-arrival of
a quantum particle at a given spatial position. We consider a solution to this
problem based on the spectral decomposition of the particle's (Heisenberg)
state into the eigenstates of a suitable operator, which we denote as the
``time-of-arrival'' operator. We discuss the general properties of this
operator. We construct the operator explicitly in the simple case of a free
nonrelativistic particle, and compare the probabilities it yields with the ones
estimated indirectly in terms of the flux of the Schr\"odinger current. We
derive a well defined uncertainty relation between time-of-arrival and energy;
this result shows that the well known arguments against the existence of such a
relation can be circumvented. Finally, we define a ``time-representation'' of
the quantum mechanics of a free particle, in which the time-of-arrival is
diagonal. Our results suggest that, contrary to what is commonly assumed,
quantum mechanics exhibits a hidden equivalence between independent (time) and
dependent (position) variables, analogous to the one revealed by the
parametrized formalism in classical mechanics.
| [
{
"version": "v1",
"created": "Thu, 14 Mar 1996 16:16:32 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Grot",
"Norbert",
"",
"Department of Physics\n and Astronomy, University of Pittsburgh, Pittsburgh PA, USA"
],
[
"Rovelli",
"Carlo",
"",
"Department of Physics\n and Astronomy, University of Pittsburgh, Pittsburgh PA, USA"
],
[
"Tate",
"Ranjeet S.",
"",
"Department of Physics\n and Astronomy, University of Pittsburgh, Pittsburgh PA, USA"
]
] |
quant-ph/9603022 | Martin Plenio | M. B. Plenio, V. Vedral, and P. L. Knight (Imperial College London) | Quantum error correction in the presence of spontaneous emission | Completely revised version now accepted for publication in Phys. Rev.
A | Phys.Rev. A55 (1997) 67 | 10.1103/PhysRevA.55.67 | null | quant-ph | null | We present a quantum error correcting code that is invariant under the
conditional time evolution between spontaneous emissions and which can correct
for one general error. The code presented here generalizes previous error
correction codes in that not all errors lead to different error syndromes. This
idea may lead to shorter codes than previously expected.
| [
{
"version": "v1",
"created": "Thu, 14 Mar 1996 20:51:36 GMT"
},
{
"version": "v2",
"created": "Sat, 21 Sep 1996 17:46:13 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Plenio",
"M. B.",
"",
"Imperial College London"
],
[
"Vedral",
"V.",
"",
"Imperial College London"
],
[
"Knight",
"P. L.",
"",
"Imperial College London"
]
] |
quant-ph/9603023 | Asher Peres | Asher Peres | Collective tests for quantum nonlocality | 14 pages, LaTeX, 1 figure on separate page | Phys Rev A 54 (1996) 2685 | 10.1103/PhysRevA.54.2685 | null | quant-ph | null | Pairs of spin-1/2 particles are prepared in a Werner state (namely, a mixture
of singlet and random components). If the random component is large enough, the
statistical results of spin measurements that may be performed on each pair
separately can be reproduced by an algorithm involving local ``hidden''
variables. However, if several such pairs are tested simultaneously, a
violation of the Clauser-Horne-Shimony-Holt inequality may occur, and no local
hidden variable model is compatible with the results.
| [
{
"version": "v1",
"created": "Mon, 18 Mar 1996 09:50:28 GMT"
},
{
"version": "v2",
"created": "Sun, 18 Oct 1998 12:17:13 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Peres",
"Asher",
""
]
] |
quant-ph/9603024 | S. Braunstein | Samuel L. Braunstein (Universitat Ulm, Abteilung Quantenphysik, Ulm,
Germany) | Quantum error correction of dephasing in 3 qubits | latex with revtex, 3 pages, 4 figures | null | null | null | quant-ph | null | We show how to perform error correction of single qubit dephasing by encoding
a single qubit into a minimum of three. This may be performed in a manner
closely analogous to classical error correction schemes. Further, the resulting
quantum error correction schemes are trivially generalized to the minimal
encoding of arbitrarily many qubits so as to allow for multiqubit dephasing
correction under the sole condition that the environment acts independently on
each qubit.
| [
{
"version": "v1",
"created": "Tue, 19 Mar 1996 10:43:24 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Braunstein",
"Samuel L.",
"",
"Universitat Ulm, Abteilung Quantenphysik, Ulm,\n Germany"
]
] |
quant-ph/9603025 | Farhad Ghaboussi | F. Ghaboussi | On a physical realization of Chern-Simons Theory | 7 pages, Latex; revised version | null | null | null | quant-ph | null | The physical content of Chern-Simons-action is discussed and it is shown that
this action is proportional to the usual charged matter interaction term in
electrodynamics.
| [
{
"version": "v1",
"created": "Fri, 22 Mar 1996 17:49:09 GMT"
},
{
"version": "v2",
"created": "Mon, 25 Mar 1996 12:10:06 GMT"
},
{
"version": "v3",
"created": "Tue, 2 Apr 1996 11:47:32 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Ghaboussi",
"F.",
""
]
] |
quant-ph/9603026 | Christof Zalka | Christof Zalka (U. of Bern, Switzerland) | Efficient Simulation of Quantum Systems by Quantum Computers | 8 pages, latex, submitted to Phys. Rev. A, revised version has about
double length of original and contains new ideas, e.g. how to obtain the
spectrum of a quantum system | Proc.Roy.Soc.Lond. A454 (1998) 313-322 | 10.1098/rspa.1998.0162 | null | quant-ph | null | We show that the time evolution of the wave function of a quantum mechanical
many particle system can be implemented very efficiently on a quantum computer.
The computational cost of such a simulation is comparable to the cost of a
conventional simulation of the corresponding classical system. We then sketch
how results of interest, like the energy spectrum of a system, can be obtained.
We also indicate that ultimately the simulation of quantum field theory might
be possible on large quantum computers.
We want to demonstrate that in principle various interesting things can be
done. Actual applications will have to be worked out in detail also depending
on what kind of quantum computer may be available one day...
| [
{
"version": "v1",
"created": "Mon, 25 Mar 1996 08:37:31 GMT"
},
{
"version": "v2",
"created": "Wed, 14 Aug 1996 14:13:54 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Zalka",
"Christof",
"",
"U. of Bern, Switzerland"
]
] |
quant-ph/9603027 | M. Dakna | M. Dakna, L. Knoll, and D.-G. Welsch | Homodyne detection for measuring coherent phase state distributions | 9 figures using a4.sty | null | null | null | quant-ph | null | Using coherent phase states, parameterized phase state distributions for a
single-mode radiation field are introduced and their integral relation to the
phase-parameterized field-strength distributions is studied. The integral
kernel is evaluated and the problem of direct sampling of the coherent phase
state distributions using balanced homodyne detection is considered. Numerical
simulations show that when the value of the smoothing parameter is not too
small the coherent phase state distributions can be obtained with sufficiently
well accuracy. With decreasing value of the smoothing parameter the
determination of the coherent phase state distributions may be an effort,
because both the numerical calculation of the sampling function and the
measurement of the field-strength distributions are required to be performed
with drastically increasing accuracy.
| [
{
"version": "v1",
"created": "Mon, 25 Mar 1996 12:03:04 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Mar 1996 10:27:33 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Dakna",
"M.",
""
],
[
"Knoll",
"L.",
""
],
[
"Welsch",
"D. -G.",
""
]
] |
quant-ph/9603028 | Stieve Wiesner | Stephen Wiesner | Simulations of Many-Body Quantum Systems by a Quantum Computer | 3 pages, LaTeX | null | null | TAUP 2329-96 | quant-ph | null | We suggest that quantum computers can solve quantum many-body problems that
are impracticable to solve on a classical computer.
| [
{
"version": "v1",
"created": "Tue, 26 Mar 1996 14:44:18 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Wiesner",
"Stephen",
""
]
] |
quant-ph/9603029 | null | Kang Li, Dao-Mu Zhao and Shao-Min Wang | The deformed uncertainty relation and the corresponding beam quality
factor | 11pages, revtex, no figures | null | null | HUP-96/002 | quant-ph | null | By using the theory of deformed quantum mechanics, we study the deformed
light beam theoretically. The deformed beam quality factor $M_q^2$ is given
explicitly under the case of deformed light in coherent state. When the
deformation parameter $q$ being a root of unity, the beam quality factor $M_q^2
\leq 1$.
| [
{
"version": "v1",
"created": "Wed, 27 Mar 1996 04:10:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Li",
"Kang",
""
],
[
"Zhao",
"Dao-Mu",
""
],
[
"Wang",
"Shao-Min",
""
]
] |
quant-ph/9603030 | T. Opatrny | T. Opatrny, D.-G. Welsch and W. Vogel | Homodyne detection for measuring internal quantum correlations of
optical pulses | 7 pages, A4.sty included | null | 10.1103/PhysRevA.55.1416 | null | quant-ph | null | A new method is described for determining the quantum correlations at
different times in optical pulses by using balanced homodyne detection. The
signal pulse and sequences of ultrashort test pulses are superimposed, where
for chosen distances between the test pulses their relative phases and
intensities are varied from measurement to measurement. The correlation
statistics of the signal pulse is obtained from the time-integrated difference
photocurrents measured.
| [
{
"version": "v1",
"created": "Thu, 28 Mar 1996 16:13:20 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Opatrny",
"T.",
""
],
[
"Welsch",
"D. -G.",
""
],
[
"Vogel",
"W.",
""
]
] |
quant-ph/9603031 | Lev Vaidman | Lev Vaidman, Lior Goldenberg and Stephen Wiesner | Error Prevention Scheme with Four Particles | 4 pages, RevTeX, references updated and improved protocol added | null | 10.1103/PhysRevA.54.R1745 | null | quant-ph | null | It is shown that a simplified version of the error correction code recently
suggested by Shor exhibits manifestation of the quantum Zeno effect. Thus,
under certain conditions, protection of an unknown quantum state is achieved.
Error prevention procedures based on four-particle and two-particle encoding
are proposed and it is argued that they have feasible practical
implementations.
| [
{
"version": "v1",
"created": "Thu, 28 Mar 1996 20:11:04 GMT"
},
{
"version": "v2",
"created": "Fri, 14 Jun 1996 09:31:10 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Vaidman",
"Lev",
""
],
[
"Goldenberg",
"Lior",
""
],
[
"Wiesner",
"Stephen",
""
]
] |
quant-ph/9604001 | Christopher Fuchs | Christopher A. Fuchs and Carlton M. Caves | Mathematical Techniques for Quantum Communication Theory | 12 pages, standard LaTeX, manuscript placed in archive because of the
relative unavailability of the journal in which it appears | Open Systems & Information Dynamics 3 (1995) 1 | null | null | quant-ph | null | We present mathematical techniques for addressing two closely related
questions in quantum communication theory. In particular, we give a
statistically motivated derivation of the Bures-Uhlmann measure of
distinguishability for density operators, and we present a simplified proof of
the Holevo upper bound to the mutual information of quantum communication
channels. Both derivations give rise to novel quantum measurements.
| [
{
"version": "v1",
"created": "Mon, 1 Apr 1996 23:23:57 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Fuchs",
"Christopher A.",
""
],
[
"Caves",
"Carlton M.",
""
]
] |
quant-ph/9604002 | Klaus Ergenzinger | Klaus Ergenzinger (Theoretical Physics, University Zuerich) | Multiphoton Ionization as Time-Dependent Tunneling | 36 pages (also printable half size), uuencoded compressed tarred
Latex file with 9 Postscript figures included automatically | null | 10.1103/PhysRevA.55.577 | Zuerich University Preprint ZU-TH-10/96 | quant-ph | null | A new semiclassical approach to ionization by an oscillating field is
presented. For a delta-function atom, an asymptotic analysis is performed with
respect to a quantity h, defined as the ratio of photon energy to ponderomotive
energy. This h appears formally equivalent to Planck's constant in a suitably
transformed Schroedinger equation and allows semiclassical methods to be
applicable. Systematically, a picture of tunneling wave packets in complex time
is developped, which by interference account for the typical ponderomotive
features of ionization curves. These analytical results are then compared to
numerical simulations and are shown to be in good agreement.
| [
{
"version": "v1",
"created": "Thu, 4 Apr 1996 10:38:05 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Ergenzinger",
"Klaus",
"",
"Theoretical Physics, University Zuerich"
]
] |
quant-ph/9604003 | David Meyer | David A. Meyer | From quantum cellular automata to quantum lattice gases | 22 pages, plain TeX, 9 PostScript figures included with epsf.tex
(ignore the under/overfull \vbox error messages); minor typographical
corrections and journal reference added | J. Stat. Phys. 85 (1996) 551-574 | 10.1007/BF02199356 | null | quant-ph comp-gas hep-th nlin.CG | null | A natural architecture for nanoscale quantum computation is that of a quantum
cellular automaton. Motivated by this observation, in this paper we begin an
investigation of exactly unitary cellular automata. After proving that there
can be no nontrivial, homogeneous, local, unitary, scalar cellular automaton in
one dimension, we weaken the homogeneity condition and show that there are
nontrivial, exactly unitary, partitioning cellular automata. We find a one
parameter family of evolution rules which are best interpreted as those for a
one particle quantum automaton. This model is naturally reformulated as a two
component cellular automaton which we demonstrate to limit to the Dirac
equation. We describe two generalizations of this automaton, the second of
which, to multiple interacting particles, is the correct definition of a
quantum lattice gas.
| [
{
"version": "v1",
"created": "Thu, 4 Apr 1996 19:24:44 GMT"
},
{
"version": "v2",
"created": "Wed, 13 Nov 1996 20:37:02 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Meyer",
"David A.",
""
]
] |
quant-ph/9604004 | Hong-Chen FU | Hong-Chen Fu and Ryu Sasaki | Exponential and Laguerre Squeezed States for su(1,1) Algebra and
Calogero-Sutherland Model | 18 pages, Six figures (in two pages), LaTeX, Accepted for publication
in Phys.Rev.A | null | 10.1103/PhysRevA.53.3836 | null | quant-ph | null | A class of squeezed states for the su(1,1) algebra is found and expressed by
the exponential and Laguerre-polynomial operators acting on the vacuum states.
As a special case it is proved that the Perelomov's coherent state is a
ladder-operator squeezed state and therefore a minimum uncertainty state. The
theory is applied to the two-particle Calogero-Sutherland model. We find some
new squeezed states and compared them with the classical trajectories. The
connection with some su(1,1) quantum optical systems (amplitude-squared
realization, Holstein-Primakoff realization, the two mode realization and a
four mode realization) is also discussed.
| [
{
"version": "v1",
"created": "Fri, 5 Apr 1996 06:42:17 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Fu",
"Hong-Chen",
""
],
[
"Sasaki",
"Ryu",
""
]
] |
quant-ph/9604005 | Asher Peres | Asher Peres | Separability Criterion for Density Matrices | 6 pages LaTeX, contains a simplified derivation and two new examples | Phys.Rev.Lett.77:1413-1415,1996 | 10.1103/PhysRevLett.77.1413 | null | quant-ph | null | A quantum system consisting of two subsystems is separable if its density
matrix can be written as $\rho=\sum_A w_A\,\rho_A'\otimes\rho_A''$, where
$\rho_A'$ and $\rho_A''$ are density matrices for the two subsytems. In this
Letter, it is shown that a necessary condition for separability is that a
matrix, obtained by partial transposition of $\rho$, has only non-negative
eigenvalues. This criterion is stronger than Bell's inequality.
| [
{
"version": "v1",
"created": "Mon, 8 Apr 1996 08:37:37 GMT"
},
{
"version": "v2",
"created": "Mon, 17 Jun 1996 11:48:03 GMT"
}
] | 2011-05-05T00:00:00 | [
[
"Peres",
"Asher",
""
]
] |
quant-ph/9604006 | John Smolin | Peter W. Shor (AT&T Labs) and John A. Smolin (UCLA) | Quantum Error-Correcting Codes Need Not Completely Reveal the Error
Syndrome | 13 pages revtex including 3 encapsulated postscript figures included
using psfig. Replaced April 12, 1996 to fix minor errors | null | null | null | quant-ph | null | Quantum error-correcting codes so far proposed have not worked in the
presence of noise which introduces more than one bit of entropy per qubit sent
through a quantum channel, nor can any code which identifies the complete error
syndrome. We describe a code which does not find the complete error syndrome
and can be used for reliable transmission of quantum information through
channels which add more than one bit of entropy per transmitted bit. In the
case of the depolarizing channel our code can be used in a channel of fidelity
.8096. The best existing code worked only down to .8107.
| [
{
"version": "v1",
"created": "Mon, 8 Apr 1996 17:55:58 GMT"
},
{
"version": "v2",
"created": "Fri, 12 Apr 1996 22:59:35 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Shor",
"Peter W.",
"",
"AT&T Labs"
],
[
"Smolin",
"John A.",
"",
"UCLA"
]
] |
quant-ph/9604007 | Christophe Durr | Christoph Durr (LRI), Miklos Santha (CNRS) | A decision procedure for unitary linear quantum cellular automata | Updated for submission to SIAM Journal on Computing. Improved
slightly the algorithm | Proceeding of the 37th IEEE Symposium on Foundations of Computer
Science, 38--45, 1996 | null | null | quant-ph cs.CC | null | Linear quantum cellular automata were introduced recently as one of the
models of quantum computing. A basic postulate of quantum mechanics imposes a
strong constraint on any quantum machine: it has to be unitary, that is its
time evolution operator has to be a unitary transformation. In this paper we
give an efficient algorithm to decide if a linear quantum cellular automaton is
unitary. The complexity of the algorithm is O(n^((3r-1)/(r+1))) = O(n^3) in the
algebraic computational model if the automaton has a continuous neighborhood of
size r, where $n$ is the size of the input.
| [
{
"version": "v1",
"created": "Tue, 9 Apr 1996 17:05:26 GMT"
},
{
"version": "v2",
"created": "Fri, 12 Jul 1996 16:22:15 GMT"
},
{
"version": "v3",
"created": "Mon, 28 Oct 1996 12:16:34 GMT"
},
{
"version": "v4",
"created": "Tue, 11 Nov 1997 19:57:45 GMT"
},
{
"version": "v5",
"created": "Mon, 21 Jun 1999 14:02:52 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Durr",
"Christoph",
"",
"LRI"
],
[
"Santha",
"Miklos",
"",
"CNRS"
]
] |
quant-ph/9604008 | Nicholas Landsman | N.P. Landsman (DAMTP, Cambridge) | Simple New Axioms for Quantum Mechanics | LaTeX, 4 pages | null | null | null | quant-ph | null | The space P of pure states of any physical system, classical or quantum, is
identified as a Poisson space with a transition probability. The latter is a
function p: PxP -> [0,1]; in addition, a Poisson bracket is defined for
functions on P. These two structures are connected through unitarity. Classical
and quantum mechanics are each characterized by a simple axiom on the
transition probability p. Unitarity then determines the Poisson bracket of
quantum mechanics up to a multiplicative constant (identified with Planck's
constant). Superselection rules are naturally incorporated.
| [
{
"version": "v1",
"created": "Wed, 10 Apr 1996 13:14:55 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Landsman",
"N. P.",
"",
"DAMTP, Cambridge"
]
] |
quant-ph/9604009 | Andreas Fring | A. Fring, V. Kostrykin and R. Schrader | On the absence of bound-state stabilization through short ultra-intense
fields | 34 pages LateX | J.Phys. B29 (1996) 5651 | 10.1088/0953-4075/29/23/011 | SfB-288 Preprint 201, Berlin | quant-ph atom-ph chem-ph | null | We address the question of whether atomic bound states begin to stabilize in
the short ultra-intense field limit. We provide a general theory of ionization
probability and investigate its gauge invariance. For a wide range of
potentials we find an upper and lower bound by non-perturbative methods, which
clearly exclude the possibility that the ultra intense field might have a
stabilizing effect on the atom. For short pulses we find almost complete
ionization as the field strength increases.
| [
{
"version": "v1",
"created": "Thu, 11 Apr 1996 12:26:09 GMT"
},
{
"version": "v2",
"created": "Mon, 16 Sep 1996 17:35:32 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Fring",
"A.",
""
],
[
"Kostrykin",
"V.",
""
],
[
"Schrader",
"R.",
""
]
] |
quant-ph/9604010 | Joerg Steinbach | S.-C. Gou, J. Steinbach and P.L. Knight (Imperial College, London, UK) | Dark pair coherent states of the motion of a trapped ion | 14 pages, 3 figures | null | 10.1103/PhysRevA.54.R1014 | null | quant-ph | null | We propose a scheme for generating vibrational pair coherent states of the
motion of an ion in a two-dimensional trap. In our scheme, the trapped ion is
excited bichromatically by three laser beams along different directions in the
X-Y plane of the ion trap. We show that if the initial vibrational state is
given by a two-mode Fock state, the final steady state, indicated by the
extinction of the fluorescence emitted by the ion, is a pure state. The
motional state of the ion in the equilibrium realizes that of the
highly-correlated pair coherent state.
| [
{
"version": "v1",
"created": "Thu, 11 Apr 1996 18:47:01 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Gou",
"S. -C.",
"",
"Imperial College, London, UK"
],
[
"Steinbach",
"J.",
"",
"Imperial College, London, UK"
],
[
"Knight",
"P. L.",
"",
"Imperial College, London, UK"
]
] |
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