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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
quant-ph/9606024 | null | Roberto Onofrio and Lorenza Viola | Quantum damping of position due to energy measurements | 19 pages + 4 figures available upon request; Plain REVTeX; To be
published in Phys. Rev. A | null | 10.1103/PhysRevA.53.3773 | null | quant-ph | null | Quantum theory for measurements of energy is introduced and its consequences
for the average position of monitored dynamical systems are analyzed. It turns
out that energy measurements lead to a localization of the expectation values
of other observables. This is manifested, in the case of position, as a damping
of the motion without classical analogue. Quantum damping of position for an
atom bouncing on a reflecting surface in presence of a homogeneous
gravitational field is dealt in detail and the connection with an experiment
already performed in the classical regime is studied. We show that quantum
damping is testable provided that the same measurement strength obtained in the
experimental verification of the quantum Zeno effect in atomic spectroscopy [W.
M. Itano et al., Phys. Rev. A {\bf 41}, 2295 (1990)] is made available.
| [
{
"version": "v1",
"created": "Mon, 24 Jun 1996 10:01:56 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Onofrio",
"Roberto",
""
],
[
"Viola",
"Lorenza",
""
]
] |
quant-ph/9606025 | Todd A. Brun | Todd A. Brun (Physics, QMW, University of London) | Quantum jumps as decoherent histories | 8 pages RevTeX 3.0, considerably revised and shortened. To appear in
the 17 March issue of Phys. Rev. Letters | Phys.Rev.Lett. 78 (1997) 1833-1837 | 10.1103/PhysRevLett.78.1833 | QMW-PH-96-11 | quant-ph atom-ph gr-qc | null | Quantum open systems are described in the Markovian limit by master equations
in Lindblad form. I argue that common ``quantum jumps'' techniques, which solve
the master equation by unraveling its evolution into stochastic trajectories in
Hilbert space, correspond closely to a particular set of decoherent histories.
This is illustrated by a simple model of a photon counting experiment.
| [
{
"version": "v1",
"created": "Mon, 24 Jun 1996 16:16:46 GMT"
},
{
"version": "v2",
"created": "Sat, 22 Feb 1997 03:04:18 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brun",
"Todd A.",
"",
"Physics, QMW, University of London"
]
] |
quant-ph/9606026 | Simon Gardiner | S. A. Gardiner (Innsbruck), J. I. Cirac (Castilla-La Mancha), and P.
Zoller (Innsbruck) | Measurement of Arbitrary Observables of a Trapped Ion | 4 pages RevTeX, 4 eps figures, packaged together with tar and gzip | null | null | null | quant-ph | null | We describe a method to perform a single quantum measurement of an arbitrary
observable of a single ion moving in a harmonic potential. We illustrate the
measurement procedure with explicit examples, namely the position and phase
observables.
| [
{
"version": "v1",
"created": "Mon, 24 Jun 1996 16:30:25 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Gardiner",
"S. A.",
"",
"Innsbruck"
],
[
"Cirac",
"J. I.",
"",
"Castilla-La Mancha"
],
[
"Zoller",
"P.",
"",
"Innsbruck"
]
] |
quant-ph/9606027 | Ryszard Horodecki | Ryszard Horodecki, Michal Horodecki and Pawel Horodecki | Teleportation, Bell's Inequalities and Inseparability | RevTeX, 4 pages | null | 10.1016/0375-9601(96)00639-1 | null | quant-ph | null | Relations between teleportation, Bell's inequalities and inseparability are
investigated. It is shown that any mixed two spin-$1\over2$ state which
violates the Bell-CHSH inequality is useful for teleportation. The result is
extended to any Bell's inequalities constructed of the expectation values of
products of spin operators. It is also shown that there exist inseparable
states which are not useful for teleportation within the standard scheme.
| [
{
"version": "v1",
"created": "Tue, 25 Jun 1996 15:59:46 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Horodecki",
"Ryszard",
""
],
[
"Horodecki",
"Michal",
""
],
[
"Horodecki",
"Pawel",
""
]
] |
quant-ph/9606028 | Paul M. Sheldon | Paul M. Sheldon (University of Texas at Dallas) | Correct interpretation of trace normalized density matrices as ensembles | Revision here adds two items : 1. an introduction attempting to
illuminate debate by Penrose and Hawking on Schrodinger's cat in their book,
"The nature of space and time", and 2. references extending my work inspired
by Andreas Albrecht "Following a Collapsing Wavefunction" (hep-th/9309051). 6
pages, latex, refers to hep-th/9309051 | null | null | null | quant-ph | null | A density operator, $\rho = {P}_{\alpha } |\alpha > <\alpha | + {P}_{\beta }
|\beta > <\beta |$, with ${P}_{\alpha }$ and ${P}_{\beta }$ linearly
independent normalized wave functions, must be traced normalized, so
${P}_{\beta } = 1 - {P}_{\alpha }$. However, unless $<\alpha |\beta > = 0$,
${P}_{\alpha }$ and ${P}_{\beta }$ cannot be interpreted as probabilities of
finding $|\alpha >$ and $|\beta >$ respectively.
We show that a density matrix comprised of two (${P}_{\alpha }$ and
${P}_{\beta }$ nonzero) non-orthogonal projectors have unique spectral
decomposition into diagonal form with orthogonal projectors. Only then,
according to axioms of Von Neumann and Fock, can we have probability
interpretation of that density matrix, only then can the diagonal elements be
interpreted as probabilities of an ensemble.
Those probabilities on the diagonal are not ${P}_{\alpha }$ and
${P}_{\beta}$. Further, only in the case of orthogonal projectors can we have
the degenerate situation in which multiple ensembles are permitted.
| [
{
"version": "v1",
"created": "Tue, 25 Jun 1996 16:21:02 GMT"
},
{
"version": "v2",
"created": "Wed, 31 Jul 1996 04:31:05 GMT"
},
{
"version": "v3",
"created": "Fri, 2 Aug 1996 00:11:16 GMT"
},
{
"version": "v4",
"created": "Sat, 3 May 1997 00:58:04 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Sheldon",
"Paul M.",
"",
"University of Texas at Dallas"
]
] |
quant-ph/9606029 | Marc Jaekel | Astrid Lambrecht (Max-Planck-Institut f\"ur Quantenoptik),
Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole Normale
Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Motion Induced Radiation from a Vibrating Cavity | 4 pages, to appear in Physical Review Letters | Phys. Rev. Lett. 77 (1996) 615 | 10.1103/PhysRevLett.77.615 | LPTENS 96/03 | quant-ph | null | We study the radiation emitted by a cavity moving in vacuum. We give a
quantitative estimate of the photon production inside the cavity as well as of
the photon flux radiated from the cavity. A resonance enhancement occurs not
only when the cavity length is modulated but also for a global oscillation of
the cavity. For a high finesse cavity the emitted radiation surpasses radiation
from a single mirror by orders of magnitude.
| [
{
"version": "v1",
"created": "Wed, 26 Jun 1996 14:05:18 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Lambrecht",
"Astrid",
"",
"Max-Planck-Institut für Quantenoptik"
],
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole Normale\n Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9606030 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Space-Time Localisation with Quantum Fields | 11 pages, to appear in Physics Letters A | Phys. Lett. A 220 (1996) 10 | 10.1016/0375-9601(96)00496-3 | LPTENS 96/30 | quant-ph gr-qc | null | We introduce observables associated with the space-time position of a quantum
point defined by the intersection of two light pulses. The time observable is
canonically conjugated to the energy. Conformal symmetry of massless quantum
fields is used first to build the definition of these observables and then to
describe their relativistic properties under frame transformations. The
transformations to accelerated frames of the space-time observables depart from
the laws of classical relativity. The Einstein laws for the shifts of clock
rates and frequencies are recovered in the quantum description, and their
formulation provides a conformal metric factor behaving as a quantum
observable.
| [
{
"version": "v1",
"created": "Wed, 26 Jun 1996 14:12:44 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/9606031 | Hans-Juergen Matschull | Hans-Juergen Matschull | Dirac's Canonical Quantization Programme | 40 pages, LaTeX2e | null | null | null | quant-ph gr-qc hep-th | null | This is a collection of lectures given at the University of Heidelberg,
especially but not exclusively for people who want to learn something about the
canonical approach to quantum gravity, which is however not included in these
lectures. They are about Dirac's general method to construct a quantum theory
out of a classical theory, which has to be defined in terms of a Lagrangian.
The classical Hamiltonian formalism is reviewed, with emphasis on the relation
between constraints and gauge symmetries, and quantization is carried out
without any kind of gauge fixing. The method is applied to three examples: the
free electro-magnetic field, the relativistic point particle, and the very
first steps of string theory are carried out.
| [
{
"version": "v1",
"created": "Wed, 26 Jun 1996 19:28:09 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Matschull",
"Hans-Juergen",
""
]
] |
quant-ph/9606032 | Ali Mostafazadeh | Ali Mostafazadeh | Adiabatic Product Expansion | uuencoded LaTeX file, 8 pages | Phys.Lett. A228 (1997) 7-12 | 10.1016/S0375-9601(97)00100-X | Uni. of Alberta preprint, TPI June 1996 | quant-ph hep-th | null | The time-evolution operator for an explicitly time-dependent Hamiltonian is
expressed as the product of a sequence of unitary operators. These are obtained
by successive time-dependent unitary transformations of the Hilbert space
followed by the adiabatic approximation at each step. The resulting adiabatic
product expansion yields a generalization of the quantum adiabatic
approximation. Furthermore, it leads to an infinite class of exactly solvable
models.
| [
{
"version": "v1",
"created": "Fri, 28 Jun 1996 04:43:52 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mostafazadeh",
"Ali",
""
]
] |
quant-ph/9606033 | Klaus Hasselmann | K. Hasselmann (Max Planck Institure for Meteorology, Hamburg, Germany) | The metron model: Elements of a unified deterministic theory of fields
and particles | 141 pages, LaTeX2e | Phys.Essays 9:311-325,1996 | 10.4006/1.3029238 | MPI report no. 172, Hamburg, October 1995 | quant-ph | null | Keywords (parts 1-4): metron / unified theory / wave particle duality /
higher-dimensional gravity / solitons / Maxwell-Dirac-Einstein system /
Standard Model / EPR paradox / Bell's theorem / arrow of time
| [
{
"version": "v1",
"created": "Fri, 28 Jun 1996 11:21:07 GMT"
},
{
"version": "v2",
"created": "Tue, 6 Aug 1996 13:15:56 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Hasselmann",
"K.",
"",
"Max Planck Institure for Meteorology, Hamburg, Germany"
]
] |
quant-ph/9606034 | null | G. M. D'Ariano, S. Mancini, V. I. Man'ko and P. Tombesi | Reconstructing the density operator by using generalized field
quadratures | 17 pages, Latex,accepted by Quantum and Semiclassical Optics | Quant.Semiclass.Opt. 8 (1996) 1017 | 10.1088/1355-5111/8/5/007 | null | quant-ph | null | The Wigner function for one and two-mode quantum systems is explicitely
expressed in terms of the marginal distribution for the generic linearly
transformed quadratures. Then, also the density operator of those systems is
written in terms of the marginal distribution of these quadratures. Some
examples to apply this formalism, and a reduction to the usual optical homodyne
tomography are considered.
| [
{
"version": "v1",
"created": "Sat, 29 Jun 1996 11:54:31 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"D'Ariano",
"G. M.",
""
],
[
"Mancini",
"S.",
""
],
[
"Man'ko",
"V. I.",
""
],
[
"Tombesi",
"P.",
""
]
] |
quant-ph/9606035 | Marek Szopa | Marek Szopa (University of Silesia, Katowice, Poland), Geert Mys and
Arnout Ceulemans (University of Leuven, Leuven, Belgium) | The Canonical Form of the Rabi Hamiltonian | 17 pages, LaTeX, no figures, to appear in J.Math.Phys | J.Math.Phys. 37 (1996) 5402-5411 | 10.1063/1.531711 | null | quant-ph atom-ph hep-th | null | The Rabi Hamiltonian, describing the coupling of a two-level system to a
single quantized boson mode, is studied in the Bargmann-Fock representation.
The corresponding system of differential equations is transformed into a
canonical form in which all regular singularities between zero and infinity
have been removed. The canonical or Birkhoff-transformed equations give rise to
a two-dimensional eigenvalue problem, involving the energy and a
transformational parameter which affects the coupling strength. The known
isolated exact solutions of the Rabi Hamiltonian are found to correspond to the
uncoupled form of the canonical system.
| [
{
"version": "v1",
"created": "Sat, 29 Jun 1996 18:14:45 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Szopa",
"Marek",
"",
"University of Silesia, Katowice, Poland"
],
[
"Mys",
"Geert",
"",
"University of Leuven, Leuven, Belgium"
],
[
"Ceulemans",
"Arnout",
"",
"University of Leuven, Leuven, Belgium"
]
] |
quant-ph/9607001 | Ludger Hannibal | Ludger Hannibal (University of Oldenburg, Germany) | Geometric Foundation of Spin and Isospin | 9 pages Latex | null | null | null | quant-ph gr-qc | null | Various theories of spinning particles are interpreted as realizing elements
of an underlying geometric theory. Classical particles are described by
trajectories on the Poincare group. Upon quantization an eleven-dimensional
Kaluza-Klein type theory is obtained which incorporates spin and isospin in a
local SL(2,C) x U(1) x SU(2) theory with broken U(1)x SU(2) part.
| [
{
"version": "v1",
"created": "Mon, 1 Jul 1996 08:11:32 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Hannibal",
"Ludger",
"",
"University of Oldenburg, Germany"
]
] |
quant-ph/9607002 | Olavo Leopoldino Da Silva Filho | L. S. F. Olavo | Quantum Mechanics as a Classical Theory XI: Thermodynamics and
Equilibrium | 11 pages, plain latex, no figures | null | null | UnB011 | quant-ph | null | In this continuation paper the theory is further extended to reveal the
connection between its formal aparatus, dealing with microscopic quantities,
and the formal aparatus of thermodynamics, related to macroscopic properties of
large systems. We will also derive the Born-Sommerfeld quantization rules from
the formalism of the infinitesimal Wigner-Moyal transformations and, as a
consequence of this result, we will also make a connection between the later
and the path integral approach of Feynman. Some insights of the relation
between quantum mechanics and equilibrium states will be given as a natural
development of the interpretation of the above results.
| [
{
"version": "v1",
"created": "Mon, 1 Jul 1996 20:33:06 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9607003 | Olavo Leopoldino Da Silva Filho | L.S.F. Olavo | Quantum Mechanics as a Classical Theory XII: Diffraction and
Interference | 9 pages of plain Latex | null | null | UnB-012 | quant-ph | null | In this paper we will be concerned with the explanation of the interference
and diffraction patterns observed as an outcome of the Young double slit
experiment. We will show that such explanation may be given {\it only} in terms
of a corpuscular theory, which has been our approach since the first paper of
this series. This explanation will be accomplished with an extension we make
here of the domain of applicability of the Born-Sommerfeld rules that we
derived in paper XI of this series.
| [
{
"version": "v1",
"created": "Mon, 1 Jul 1996 21:39:06 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9607004 | Alberto Rimini | Giulio Peruzzi and Alberto Rimini | Quantum measurement in a family of hidden-variable theories | 16 pages, LaTeX; all special macros are included in the file; a
figure is there, but it is processed by LaTeX | Found.Phys.Lett. 9 (1996) 505 | 10.1007/BF02190027 | FNT/T-96/15 | quant-ph | null | The measurement process for hidden-configuration formulations of quantum
mechanics is analysed. It is shown how a satisfactory description of quantum
measurement can be given in this framework. The unified treatment of
hidden-configuration theories, including Bohmian mechanics and Nelson's
stochastic mechanics, helps in understanding the true reasons why the problem
of quantum measurement can succesfully be solved within such theories.
| [
{
"version": "v1",
"created": "Thu, 4 Jul 1996 16:13:52 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Peruzzi",
"Giulio",
""
],
[
"Rimini",
"Alberto",
""
]
] |
quant-ph/9607005 | Victor Dodonov | V. V. Dodonov (1), A. B. Klimov (2), V.I. Man'ko (3) ( (1)
Universidade Federal de Sao Carlos, Brasil, (2) Universidad de Guadalajara,
Mexico, (3) Oservatorio Astronomico di Capodimonte, Napoli, Italy ) | Low Energy Wave Packet Tunneling from a Parabolic Potential Well through
a High Potential Barrier | 14 pages, LaTex type, to appear in Physics Letters A | null | 10.1016/0375-9601(96)00482-3 | null | quant-ph | null | The problem of wave packet tunneling from a parabolic potential well through
a barrier represented by a power potential is considered in the case when the
barrier height is much greater than the oscillator ground state energy, and the
difference between the average energy of the packet and the nearest oscillator
eigenvalue is sufficiently small. The universal Poisson distribution of the
partial tunneling rates from the oscillator energy levels is discovered. The
explicit expressions for the tunneling rates of different types of packets
(coherent, squeezed, even/odd, thermal, etc.) are given in terms of the
exponential and modified Bessel functions. The tunneling rates turn out very
sensitive to the energy distributions in the packets, and they may exceed
significantly the tunneling rate from the energy state with the same average
number of quanta.
| [
{
"version": "v1",
"created": "Thu, 4 Jul 1996 20:35:23 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Dodonov",
"V. V.",
""
],
[
"Klimov",
"A. B.",
""
],
[
"Man'ko",
"V. I.",
""
]
] |
quant-ph/9607006 | Dirk Sondermann | Almut Beige, Gerhard C. Hegerfeldt, Dirk G. Sondermann | Laser Pulses as Measurements. Application to the Quantum Zeno Effect | 18 pages, LaTeX; to appear in Quantum Semiclass. Opt | Quant.Semiclass.Opt. 8 (1996) 999 | 10.1088/1355-5111/8/5/006 | null | quant-ph | null | Short pulses of a probe laser have been used in the past to measure whether a
two-level atom is in its ground or excited state. The probe pulse couples the
ground state to a third, auxiliary, level of the atom. Occurrence or absence of
resonance fluorescence were taken to mean that the atom was found in its ground
or excited state, respectively. In this paper we investigate to what extent
this procedure results in an effective measurement to which the projection
postulate can be applied, at least approximately. We discuss in detail the
complications arising from an additional time development of the two-level
system proper during a probe pulse. We extend our previous results for weak
probe pulses to the general case and show that one can model an ideal
(projection-postulate) measurement much better with a strong than a weak probe
pulse. In an application to the quantum Zeno effect we calculate the slow-down
of the atomic time development under n repeated probe pulse measurements and
determine the corrections compared to the case of n ideal measurements.
| [
{
"version": "v1",
"created": "Thu, 4 Jul 1996 22:32:53 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Beige",
"Almut",
""
],
[
"Hegerfeldt",
"Gerhard C.",
""
],
[
"Sondermann",
"Dirk G.",
""
]
] |
quant-ph/9607007 | Ryszard Horodecki | Ryszard Horodecki and Michal Horodecki | Information-theoretic aspects of quantum inseparability of mixed states | Revtex, 19 pages, to appear in Phys. Rev. A, vol. 54; one postscript
figure available at request from [email protected] | null | 10.1103/PhysRevA.54.1838 | null | quant-ph | null | Information-theoretic aspects of quantum inseparability of mixed states are
investigated in terms of the $\alpha$-entropy inequalities and teleportation
fidelity. Inseparability of mixed states is defined and a complete
characterization of the inseparable $2\times2$ systems with maximally
disordered subsystems is presented within the Hilbert-Schmidt space formalism.
A connection between teleportation and negative conditional $\alpha$-entropy is
also emphasized.
| [
{
"version": "v1",
"created": "Mon, 8 Jul 1996 11:46:14 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Horodecki",
"Ryszard",
""
],
[
"Horodecki",
"Michal",
""
]
] |
quant-ph/9607008 | Piotr Kochanski | Piotr Kochanski, Krzysztof Wodkiewicz | Intrinsic and Operational Observables in Quantum Mechanics | 8 pages, LaTex type, 2 Encapsulated Postscript figures, uses
a4wide.sty, to appear in acta physica slovaca vol. 46 No. 3 (1996) | null | null | IFT UW 96-06 | quant-ph | null | The concept of intrinsic and operational observables in quantum mechanics is
introduced. It is argued that, in any realistic description of a quantum
measurement that includes a detecting device, it is possible to construct from
the statistics of the recorded raw data a set of operational quantities that
correspond to the intrinsic quantum mechanical observable. Using the concept of
the propensity and the associated operational positive operator valued measure
(POVM) a general description of the operational algebra of quantum mechanical
observables is derived for a wide class of realistic detection schemes. This
general approach is illustrated by the example of an operational Malus
measurement of the spin phases and by an analysis of the operational homodyne
detection of the phase of an optical field with a squeezed vacuum in the unused
ports.
| [
{
"version": "v1",
"created": "Wed, 10 Jul 1996 15:22:22 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kochanski",
"Piotr",
""
],
[
"Wodkiewicz",
"Krzysztof",
""
]
] |
quant-ph/9607009 | Ryszard Horodecki | Michal Horodecki, Pawel Horodecki and Ryszard Horodecki | Distillability of Inseparable Quantum Systems | Revtex, 4 pages (in twocolumn format), introduction and conclusion
are slightly modified; one postscript figure available at request from
[email protected] | null | null | null | quant-ph | null | We apply the inseparability criterion for $2 \times 2$ systems, local
filtering and Bennett et al. purification protocol [Phys. Rev. Lett. {\bf 76},
722 (1996)] to show how to distill {\it any} inseparable $2\times 2$ system.
The extended protocol is illustrated geometrically by means of the state
parameters in the Hilbert-Schmidt space.
| [
{
"version": "v1",
"created": "Thu, 11 Jul 1996 13:39:46 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Oct 1996 13:20:52 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Horodecki",
"Michal",
""
],
[
"Horodecki",
"Pawel",
""
],
[
"Horodecki",
"Ryszard",
""
]
] |
quant-ph/9607010 | K. Y. Szeto | K.Y. Szeto | Data Compression for Quantum Code | 12 pages, Latex file double space | null | null | null | quant-ph | null | The general scheme of data compression using the quantum noiseless coding
theorem of Schumacher is dicussed for general quantum sources. When the Hilbert
space of the quantum source is decomposable into orthogonal subspaces, one can
first perform classical data compression before performing the quantum data
compression for individual subspaces. For minimizing the resource in quantum
coding, a general parameterization of the dimensions in the Jozsa-Schumacher
quantum data compression scheme is presented.
| [
{
"version": "v1",
"created": "Fri, 12 Jul 1996 02:28:20 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Szeto",
"K. Y.",
""
]
] |
quant-ph/9607011 | Walter T. Strunz | Ian C. Percival and Walter T. Strunz | Detection of space-time fluctuations by a model matter interferometer | TeX, 23 pages, submitted to Proc. Roy. Soc. Lond | null | 10.1098/rspa.1997.0025 | QMW-PH-96-15 | quant-ph | null | In papers on primary state diffusion (Percival 1994, 1995), numerical
estimates suggested that fluctuations in the space-time metric on the scale of
the Planck time (10^-44s) could be detected using atom interferometers. In this
paper we first specify a stochastic metric obtained from fluctuations that
propagate with the velocity of light, and then develop the non-Markovian
quantum state diffusion theory required to estimate the resulting decoherence
effects on a model matter interferometer. Both commuting and non-commuting
fluctuations are considered. The effects of the latter are so large that if
they applied to some real atom interferometry experiments they would have
suppressed the observed interference. The model is too crude to conclude that
such fluctuations do not exist, but it does demonstrate that the small
numerical value of the Planck time does not alone prevent experimental access
to Planck-scale phenomena in the laboratory.
| [
{
"version": "v1",
"created": "Mon, 15 Jul 1996 17:03:18 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Percival",
"Ian C.",
""
],
[
"Strunz",
"Walter T.",
""
]
] |
quant-ph/9607012 | Hong-Chen FU | Hong-Chen Fu and Ryu Sasaki | Generalized Binomial States: Ladder Operator Approach | LaTeX-2e, 11 pages, no figure. Accepted for publication in
J.Phys.A:math.Gen | J.Phys.A29:5637-5644,1996 | 10.1088/0305-4470/29/17/034 | YITP-96-25 | quant-ph | null | We show that the binomial states (BS) of Stoler {\it et al.} admit the ladder
and displacement operator formalism. By generalizing the ladder operator
formalism we propose an eigenvalue equation which possesses the number and the
squeezed states as its limiting solutions. The explicit forms of the solutions,
to be referred to as the {\it generalized binomial states} (GBS), are given.
Corresponding to the wide range of the eigenvalue spectrum these GBS have as
widely different properties. Their limits to number and {\it squeezed} states
are investigated in detail. The time evolution of BS is obtained as a special
case of the approach.
| [
{
"version": "v1",
"created": "Mon, 15 Jul 1996 08:55:33 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Fu",
"Hong-Chen",
""
],
[
"Sasaki",
"Ryu",
""
]
] |
quant-ph/9607013 | Rafael Ferraro | Rafael Ferraro | The complete solution of the Hamilton-Jacobi equation in Quantum
Mechanics | 8 pages (TeX manuscript) | null | null | null | quant-ph gr-qc hep-th | null | An ordinary unambiguous integral representation for the finite propagator of
a quantum system is found by starting of a privileged skeletonization of the
functional action in phase space, provided by the complete solution of the
Hamilton-Jacobi equation. This representation allows to regard the propagator
as the sum of the contributions coming from paths where the momenta generated
by the complete solution of the Hamilton-Jacobi equation are conserved -as it
does happen on the classical trajectory-, but are not restricted to having the
classical values associated with the boundary conditions for the original
coordinates.
| [
{
"version": "v1",
"created": "Wed, 17 Jul 1996 16:36:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ferraro",
"Rafael",
""
]
] |
quant-ph/9607014 | Christophe Durr | Christoph Durr and Peter Hoyer | A Quantum Algorithm for Finding the Minimum | 2 pages | null | null | null | quant-ph cs.DS | null | We give a quantum algorithm to find the index y in a table T of size N such
that in time O(c sqrt N), T[y] is minimum with probability at least 1-1/2^c.
| [
{
"version": "v1",
"created": "Thu, 18 Jul 1996 19:12:42 GMT"
},
{
"version": "v2",
"created": "Thu, 7 Jan 1999 16:50:45 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Durr",
"Christoph",
""
],
[
"Hoyer",
"Peter",
""
]
] |
quant-ph/9607015 | Adonai S. Sant'Anna | Adonai S. Sant'Anna and Decio Krause (Departamento de Matematica,
Universidade Federal do Parana) | Indistinguishable particles and hidden variables | 17 pages, LaTeX format | null | 10.1007/BF02764019 | null | quant-ph | null | An axiomatics for indistinguishability of elementary particles in terms of
hidden variables is presented in a manner which depart from the standard
approaches usually given to hidden variables. Quantum distribution functions
are also discussed and some related lines of work are suggested.
| [
{
"version": "v1",
"created": "Thu, 18 Jul 1996 21:46:03 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Sant'Anna",
"Adonai S.",
"",
"Departamento de Matematica,\n Universidade Federal do Parana"
],
[
"Krause",
"Decio",
"",
"Departamento de Matematica,\n Universidade Federal do Parana"
]
] |
quant-ph/9607016 | Marc Jaekel | Astrid Lambrecht (Max-Planck-Institut f\"ur Quantenoptik),
Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole Normale
Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Comment on ``Sonoluminescence as Quantum Vacuum Radiation'' | 1 page | Phys.Rev.Lett.78:2267,1997 | 10.1103/PhysRevLett.78.2267 | LPTENS 96/40 | quant-ph | null | We contest the recent claim by C. Eberlein (Physical Review Letters 76 (1996)
3842) that sonoluminescence may be explained in terms of quantum vacuum
radiation. Due to fundamental physical limitations on bubble surface velocity,
the predicted number of photons per flash is indeed much smaller than unity.
Therefore, quantum vacuum radiation cannot be considered as an explanation of
the observed sonoluminescence phenomenon.
| [
{
"version": "v1",
"created": "Fri, 19 Jul 1996 13:42:12 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Lambrecht",
"Astrid",
"",
"Max-Planck-Institut für Quantenoptik"
],
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole Normale\n Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9607017 | Preprints Libr/pam | Yuri Orlov | Peculiarities of Quantum Mechanics: Origins and Meaning | 51 pages. LaTeX document with 4 EPS figures. A 5th figure(figure 2)
can be obtained from
http://w4.lns.cornell.edu/public/CLNS/1996/CLNS96-1399/1399-fig2.gif | null | null | CLNS 96/1399 | quant-ph | null | The most peculiar, specifically quantum, features of quantum mechanics ---
quantum nonlocality, indeterminism, interference of probabilities,
quantization, wave function collapse during measurement --- are explained on a
logical-geometrical basis. It is shown that truths of logical statements about
numerical values of quantum observables are quantum observables themselves and
are represented in quantum mechanics by density matrices of pure states.
Structurally, quantum mechanics is a result of applying non-Abelian symmetries
to truth operators and their eigenvectors --- wave functions. Wave functions
contain information about conditional truths of all possible logical statements
about physical observables and their correlations in a given physical system.
These correlations are logical, hence nonlocal, and exist when the system is
not observed. We analyze the physical conditions and logical and
decision-making operations involved in the phenomena of wave function collapse
and unpredictability of the results of measurements. Consistent explanations of
the Stern-Gerlach and EPR-Bohm experiments are presented."
| [
{
"version": "v1",
"created": "Fri, 19 Jul 1996 16:52:13 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Orlov",
"Yuri",
""
]
] |
quant-ph/9607018 | Mark Hillery | Vladimir Buzek and Mark Hillery | Quantum Copying: Beyond the No-Cloning Theorem | RevTex, 26 pages, to appear in Physical Review A | null | 10.1103/PhysRevA.54.1844 | null | quant-ph | null | We analyze to what extent it is possible to copy arbitrary states of a
two-level quantum system. We show that there exists a "universal quantum
copying machine", which approximately copies quantum mechanical states in such
a way that the quality of its output does not depend on the input. We also
examine a machine which combines a unitary transformation with a selective
measurement to produce good copies of states in a neighborhood of a particular
state. We discuss the problem of measurement of the output states.
| [
{
"version": "v1",
"created": "Sat, 20 Jul 1996 14:15:01 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Buzek",
"Vladimir",
""
],
[
"Hillery",
"Mark",
""
]
] |
quant-ph/9607019 | John Klauder | John R. Klauder (University of Florida) | Coherent State Path Integrals for Systems with Constraints | Latex, 10 pages, no figures | null | null | null | quant-ph hep-th | null | We outline the principal results of a recent examination of the quantization
of systems with first- and second-class constraints from the point of view of
coherent-state phase-space path integration. Two examples serve to illustrate
the procedures.
| [
{
"version": "v1",
"created": "Mon, 22 Jul 1996 12:38:05 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Klauder",
"John R.",
"",
"University of Florida"
]
] |
quant-ph/9607020 | John Klauder | John R. Klauder (University of Florida) | New Measures for the Quantization of Systems with Constraints | Latex, 9 pages, no figures | null | null | null | quant-ph hep-th | null | Based on the results of a recent reexamination of the quantization of systems
with first-class and second-class constraints from the point of view of
coherent-state phase-space path integration, we give additional examples of the
quantization procedure for reparameterization invariant Hamiltonians, for
systems for which the original set of Lagrange multipliers are elevated to
dynamical variables, as well as extend the formalism to include cases of
first-class constraints the operator form of which have a spectral gap about
the value zero that characterizes the quantum constraint subspace.
| [
{
"version": "v1",
"created": "Mon, 22 Jul 1996 12:38:43 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Klauder",
"John R.",
"",
"University of Florida"
]
] |
quant-ph/9607021 | Max Tegmark | Max Tegmark | Measuring quantum states: an experimental setup for measuring the
spatial density matrix | Final accepted version, with 2 figures included. Latest version at
http://www.sns.ias.edu/~max/radon.html (faster from the US), from
http://www.mpa-garching.mpg.de/~max/radon.html (faster from Europe) or from
[email protected]. To appear in Phys Rev A. | Phys Rev A, 54, 2703 (1996) | 10.1103/PhysRevA.54.2703 | null | quant-ph | null | To quantify the effect of decoherence in quantum measurements, it is
desirable to measure not merely the square modulus of the spatial wavefunction,
but the entire density matrix, whose phases carry information about momentum
and how pure the state is. An experimental setup is presented which can measure
the density matrix (or equivalently, the Wigner function) of a beam of
identically prepared charged particles to an arbitrary accuracy, limited only
by count statistics and detector resolution. The particles enter into an
electric field causing simple harmonic oscillation in the transverse direction.
This corresponds to rotating the Wigner function in phase space. With a
slidable detector, the marginal distribution of the Wigner function can be
measured from all angles. Thus the phase-space tomography formalism can be used
to recover the Wigner function by the standard inversion of the Radon
transform. By applying this technique to for instance double-slit experiments
with various degrees of environment-induced decoherence, it should be possible
to make our understanding of decoherence and apparent wave-function collapse
less qualitative and more quantitative.
| [
{
"version": "v1",
"created": "Thu, 25 Jul 1996 07:52:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Tegmark",
"Max",
""
]
] |
quant-ph/9607022 | Brif Constantin | C. Brif (1), A. Vourdas (2) and A. Mann (1) ((1) Technion, Haifa, (2)
University of Liverpool) | Analytic representations based on SU(1,1) coherent states and their
applications | LaTeX, 15 pages, no figures, to appear in J. Phys. A. More
information on http://www.technion.ac.il/~brif/science.html | J.Phys.A29:5873-5886,1996 | 10.1088/0305-4470/29/18/017 | null | quant-ph | null | We consider two analytic representations of the SU(1,1) Lie group: the
representation in the unit disk based on the SU(1,1) Perelomov coherent states
and the Barut-Girardello representation based on the eigenstates of the SU(1,1)
lowering generator. We show that these representations are related through a
Laplace transform. A ``weak'' resolution of the identity in terms of the
Perelomov SU(1,1) coherent states is presented which is valid even when the
Bargmann index $k$ is smaller than one half. Various applications of these
results in the context of the two-photon realization of SU(1,1) in quantum
optics are also discussed.
| [
{
"version": "v1",
"created": "Fri, 26 Jul 1996 09:09:20 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Brif",
"C.",
""
],
[
"Vourdas",
"A.",
""
],
[
"Mann",
"A.",
""
]
] |
quant-ph/9607023 | Lev Vaidman | Lev Vaidman | Emergence of Weak Values | 12 pages, LaTeX, to appear in "Quantum Interferometry" VCH Publishers
(1996), edited by F. De Martini | null | null | null | quant-ph | null | Various quantum measurement procedures are analyzed and it is shown that
under certain conditions they yield consistently {\em weak values} which might
be very different from the eigenvalues, the allowed outcomes according to the
standard quantum formalism. The weak value outcomes result from peculiar
quantum interference of the pointer variable of the measuring device.
| [
{
"version": "v1",
"created": "Fri, 26 Jul 1996 15:22:22 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Vaidman",
"Lev",
""
]
] |
quant-ph/9607024 | null | Lov K. Grover (Bell Labs, Murray Hill NJ) | A fast quantum mechanical algorithm for estimating the median | 14 pages, single postscript file | null | null | Bell Labs Technical Memorandum No. ITD-96-30115J | quant-ph | null | Consider the problem of estimating the median of N items to a precision
epsilon, i.e., the estimate should be such that, with a high probability, the
number of items, with values both smaller than and larger than this estimate,
is less than N*(1+epsilon)/2. Any classical algorithm to do this will need at
least O(1/epsilon^2) samples. Quantum mechanical systems can simultaneously
carry out multiple computations due to their wave like properties. This paper
describes an O(1/epsilon) step algorithm for the above estimation.
| [
{
"version": "v1",
"created": "Mon, 29 Jul 1996 19:30:14 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Grover",
"Lov K.",
"",
"Bell Labs, Murray Hill NJ"
]
] |
quant-ph/9607025 | null | Erasmo Recami and Giovanni Salesi | Kinematics and hydrodynamics of spinning particles | LaTeX file; needs kapproc.sty | Phys.Rev.A57:98-105,1998 | 10.1103/PhysRevA.57.98 | null | quant-ph | null | In the first part (Sections 1 and 2) of this paper --starting from the Pauli
current, in the ordinary tensorial language-- we obtain the decomposition of
the non-relativistic field velocity into two orthogonal parts: (i) the
"classical part, that is, the 3-velocity w = p/m OF the center-of-mass (CM),
and (ii) the so-called "quantum" part, that is, the 3-velocity V of the motion
IN the CM frame (namely, the internal "spin motion" or zitterbewegung). By
inserting such a complete, composite expression of the velocity into the
kinetic energy term of the non-relativistic classical (i.e., newtonian)
lagrangian, we straightforwardly get the appearance of the so-called "quantum
potential" associated, as it is known, with the Madelung fluid. This result
carries further evidence that the quantum behaviour of micro-systems can be
adirect consequence of the fundamental existence of spin. In the second part
(Sections 3 and 4), we fix our attention on the total 3-velocity v = w + V, it
being now necessary to pass to relativistic (classical) physics; and we show
that the proper time entering the definition of the four-velocity v^mu for
spinning particles has to be the proper time tau of the CM frame. Inserting the
correct Lorentz factor into the definition of v^mu leads to completely new
kinematical properties for v_mu v^mu. The important constraint p_mu v^mu = m,
identically true for scalar particles, but just assumed a priori in all
previous spinning particle theories, is herein derived in a self-consistent
way.
| [
{
"version": "v1",
"created": "Tue, 30 Jul 1996 04:43:38 GMT"
}
] | 2010-03-04T00:00:00 | [
[
"Recami",
"Erasmo",
""
],
[
"Salesi",
"Giovanni",
""
]
] |
quant-ph/9607026 | E. Schmidt | Eduard Schmidt, Ludwig Knoell and Dirk-Gunnar Welsch | Radiation field quantization in a nonlinear dielectric with dispersion
and absorption | 18 pages, uses revtex.sty | null | null | FSUJ TPI QO-09/96 | quant-ph | null | The problem of quantizing the radiation field inside a nonlinear dielectric
is studied. Based on the quantization of radiation in a linear dielectric which
includes absorption and dispersion, we extend the theory in order to treat also
nonlinear optical processes. We derive propagation equations in space and time
for the quantized radiation field including the effects of linear absorption
and dispersion as well as nonlinear optical effects. As a special case we
derive the propagation equation of a narrow-frequency band light pulse in a
Kerr medium.
| [
{
"version": "v1",
"created": "Wed, 31 Jul 1996 15:15:01 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Schmidt",
"Eduard",
""
],
[
"Knoell",
"Ludwig",
""
],
[
"Welsch",
"Dirk-Gunnar",
""
]
] |
quant-ph/9607027 | Daniel Gottesman | Daniel Gottesman | Pasting Quantum Codes | 7 pages, REVTeX, submitted to Phys. Rev. A | null | null | CALT-68-2066, QUIC-96-001 | quant-ph | null | I describe a method for pasting together certain quantum error-correcting
codes that correct one error to make a single larger one-error quantum code. I
show how to construct codes encoding 7 qubits in 13 qubits using the method, as
well as 15 qubits in 21 qubits and all the other "perfect" codes.
| [
{
"version": "v1",
"created": "Wed, 31 Jul 1996 17:37:41 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Gottesman",
"Daniel",
""
]
] |
quant-ph/9607028 | Mauro Fortunato | Mauro Fortunato (Universitaet Ulm, Germany) | Comment on ``Creating Metastable Schroedinger Cat States'' | 1 page, RevTeX, 1 eps figure (fig_1.eps), accepted for publication in
Physical Review Letters [Phys. Rev. Lett. 77 (9) (1996)] | Phys.Rev.Lett. 77 (1996) 2336 | 10.1103/PhysRevLett.77.2336 | null | quant-ph | null | After a careful analysis of the feedback model recently proposed by Slosser
and Milburn [Phys. Rev. Lett. 75, 418 (1995)], we are led to the conclusion
that---under realistic conditions---their scheme is not significantly more
effective in the production of linear superpositions of macroscopically
distinguishable quantum states than the usual quantum-optical Kerr effect.
| [
{
"version": "v1",
"created": "Wed, 31 Jul 1996 17:40:44 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Fortunato",
"Mauro",
"",
"Universitaet Ulm, Germany"
]
] |
quant-ph/9607029 | Shmuel Gurvitz | S.A. Gurvitz | Interaction-Free Measurement in mesoscopic systems and the reduction
postulate | Experimental consequences of the collapse time and the relativistic
requirement are discussed for mesoscopic and optical systems | null | null | null | quant-ph cond-mat | null | We show that a noninvasive,``negative-result measurement'' can be realized in
quantum dot systems. The measurement process is studied by applying the
Schr\"odinger equation to the whole system (including the detector). We
demonstrate that the possibility of observing a particular state out of
coherent superposition leads to collapse of the corresponding nondiagonal
density-matrix elements of the measured system. No additional reduction
postulate is needed. Experimental consequences of the collapse time and the
relativistic requirement are discussed for mesoscopic and optical systems.
| [
{
"version": "v1",
"created": "Wed, 31 Jul 1996 18:36:14 GMT"
},
{
"version": "v2",
"created": "Sun, 27 Oct 1996 13:17:43 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Gurvitz",
"S. A.",
""
]
] |
quant-ph/9607030 | Richard Cleve | Richard Cleve, Daniel Gottesman | Efficient Computations of Encodings for Quantum Error Correction | 16 pages, REVTeX, 3 figures within the text | null | 10.1103/PhysRevA.56.76 | CALT-68-2067, QUIC-96-002 | quant-ph | null | We show how, given any set of generators of the stabilizer of a quantum code,
an efficient gate array that computes the codewords can be constructed. For an
n-qubit code whose stabilizer has d generators, the resulting gate array
consists of O(n d) operations, and converts k-qubit data (where k = n - d) into
n-qubit codewords.
| [
{
"version": "v1",
"created": "Thu, 1 Aug 1996 03:39:51 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cleve",
"Richard",
""
],
[
"Gottesman",
"Daniel",
""
]
] |
quant-ph/9608001 | Michael Nielsen | M. A. Nielsen, Carlton M. Caves (University of New Mexico) | Reversible quantum operations and their application to teleportation | 10 pages, Revtex | null | 10.1103/PhysRevA.55.2547 | null | quant-ph | null | Quantum operations provide a general description of the state changes allowed
by quantum mechanics. Simple necessary and sufficient conditions for an ideal
quantum operation to be reversible by a unitary operation are derived in this
paper. These results generalize recent work on reversible measurements by
Mabuchi and Zoller [Phys. Rev. Lett. {\bf 76}, 3108 (1996)]. Quantum
teleportation can be understood as a special case of the problem of reversing
quantum operations. We characterize completely teleportation schemes of the
type proposed by Bennett {\it et al.} [Phys. Rev. Lett. {\bf 70}, 1895 (1993)].
| [
{
"version": "v1",
"created": "Thu, 1 Aug 1996 18:59:06 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Nielsen",
"M. A.",
"",
"University of New Mexico"
],
[
"Caves",
"Carlton M.",
"",
"University of New Mexico"
]
] |
quant-ph/9608002 | Olga Priyutova | V.P.Karassiov (Lebedev Physical Institute, Moscow), V.L.Derbov
(Chernyshevsky State University, Saratov), S.I.Vinitsky (Joint Institute for
Nuclear Research, Dubna), Olga M. Priyutova (Chernyshevsky State University,
Saratov) | Polarization coherent states and geometric phases in quantum optics | 17 pages, LATEX | null | null | null | quant-ph | null | Polarization coherent states (PCS) are considered as generalized coherent
states of $SU(2)_p$ group of the polarization invariance of the light fields.
The geometric phases of PCS are introduced in a way, analogous to that used in
the classical polarization optics.
| [
{
"version": "v1",
"created": "Fri, 2 Aug 1996 18:22:44 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Karassiov",
"V. P.",
"",
"Lebedev Physical Institute, Moscow"
],
[
"Derbov",
"V. L.",
"",
"Chernyshevsky State University, Saratov"
],
[
"Vinitsky",
"S. I.",
"",
"Joint Institute for\n Nuclear Research, Dubna"
],
[
"Priyutova",
"Olga M.",
"",
"Chernyshevsky State University,\n Saratov"
]
] |
quant-ph/9608003 | Kimball A. Milton | Kimball A. Milton | Comment on "Sonoluminescence as Quantum Vacuum Radiation" | 1 page, no figures, REVTeX | null | null | OKHEP-96-05 | quant-ph hep-ph | null | The insufficiency of the energy radiated in the model of Eberlein is
discussed.
| [
{
"version": "v1",
"created": "Fri, 2 Aug 1996 19:25:48 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Milton",
"Kimball A.",
""
]
] |
quant-ph/9608004 | Todd A. Brun | Ruediger Schack (Mathematics, Royal Holloway, London), Todd A. Brun
(Physics, Queen Mary and Westfield, London) | A C++ library using quantum trajectories to solve quantum master
equations | 17 pages standard LaTeX + 3 figures (postscript). Submitted to
Computer Physics Communications. Web site:
http://galisteo.ma.rhbnc.ac.uk/applied/QSD.html | Comput.Phys.Commun. 102 (1997) 210-228 | 10.1016/S0010-4655(97)00019-2 | QMW-PH-96-20 | quant-ph | null | Quantum trajectory methods can be used for a wide range of open quantum
systems to solve the master equation by unraveling the density operator
evolution into individual stochastic trajectories in Hilbert space. This C++
class library offers a choice of integration algorithms for three important
unravelings of the master equation. Different physical systems are modeled by
different Hamiltonians and environment operators. The program achieves
flexibility and user friendliness, without sacrificing execution speed, through
the way it represents operators and states in Hilbert space. Primary operators,
implemented in the form of simple routines acting on single degrees of freedom,
can be used to build up arbitrarily complex operators in product Hilbert spaces
with arbitrary numbers of components. Standard algebraic notation is used to
build operators and to perform arithmetic operations on operators and states.
States can be represented in a local moving basis, often leading to dramatic
savings of computing resources. The state and operator classes are very general
and can be used independently of the quantum trajectory algorithms. Only a
rudimentary knowledge of C++ is required to use this package.
| [
{
"version": "v1",
"created": "Mon, 5 Aug 1996 17:04:06 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Schack",
"Ruediger",
"",
"Mathematics, Royal Holloway, London"
],
[
"Brun",
"Todd A.",
"",
"Physics, Queen Mary and Westfield, London"
]
] |
quant-ph/9608005 | Tal Mor | T. Mor | TelePOVM -- New Faces of Teleportation | 8 pages, Latex. To be presented in a workshop on FQT, A Golden
Jubilee event of the TIFR, Sep. 1996, Bombay, India | null | null | null | quant-ph | null | We show two new aspects of teleportation based on generalized measurements:
I. We present an alternative approach to teleportation based on ``generating
$\rho$-ensembles at spacetime separation''; This approach provides a better
understanding of teleportation. II. We define the concept of {\em conclusive
teleportation} and we show how to teleport a quantum state using any pure
entangled state; we show how to use the conclusive teleportation as a criterion
for non-locality.
| [
{
"version": "v1",
"created": "Mon, 5 Aug 1996 14:39:21 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Mor",
"T.",
""
]
] |
quant-ph/9608006 | Peter Shor | A. R. Calderbank (1), E. M Rains (2), P. W. Shor (1), and N. J. A.
Sloane (1), ((1) AT&T Research, (2) Institute for Defense Analyses) | Quantum Error Correction via Codes over GF(4) | Latex, 46 pages. To appear in IEEE Transactions on Information
Theory. Replaced Sept. 24, 1996, to correct a number of minor errors.
Replaced Sept. 10, 1997. The second section has been completely rewritten,
and should hopefully be much clearer. We have also added a new section
discussing the developments of the past year. Finally, we again corrected a
number of minor errors | null | null | null | quant-ph | null | The problem of finding quantum error-correcting codes is transformed into the
problem of finding additive codes over the field GF(4) which are
self-orthogonal with respect to a certain trace inner product. Many new codes
and new bounds are presented, as well as a table of upper and lower bounds on
such codes of length up to 30 qubits.
| [
{
"version": "v1",
"created": "Tue, 6 Aug 1996 18:13:19 GMT"
},
{
"version": "v2",
"created": "Wed, 7 Aug 1996 00:56:53 GMT"
},
{
"version": "v3",
"created": "Tue, 24 Sep 1996 22:55:48 GMT"
},
{
"version": "v4",
"created": "Wed, 25 Sep 1996 14:34:53 GMT"
},
{
"version": "v5",
"created": "Wed, 10 Sep 1997 21:06:15 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Calderbank",
"A. R.",
"",
"AT&T Research"
],
[
"Rains",
"E. M",
"",
"Institute for Defense Analyses"
],
[
"Shor",
"P. W.",
"",
"AT&T Research"
],
[
"Sloane",
"N. J. A.",
"",
"AT&T Research"
]
] |
quant-ph/9608007 | null | J. Finkelstein | Consistent Histories may be strange, but so is standard Quantum Theory | 5 pages, LaTeX, 1 figure drawn by LaTeX | null | null | SJSU/TP-96-14 | quant-ph gr-qc | null | Interpretational questions that arise in the Consistent Histories formulation
of quantum mechanics are illustrated by the familiar example of a beam passing
through multiple slits.
| [
{
"version": "v1",
"created": "Wed, 7 Aug 1996 17:33:02 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Finkelstein",
"J.",
""
]
] |
quant-ph/9608008 | Michael Martin Nieto | Michael Martin Nieto and D. Rodney Truax | Displacement-Operator Squeezed States. I. Time-Dependent Systems Having
Isomorphic Symmetry Algebras | 23 pages, LaTeX | J.Math.Phys. 38 (1997) 84-97 | 10.1063/1.531836 | LA-UR-96-2755 | quant-ph | null | In this paper we use the Lie algebra of space-time symmetries to construct
states which are solutions to the time-dependent Schr\"odinger equation for
systems with potentials $V(x,\tau)=g^{(2)}(\tau)x^2+g^{(1)}(\tau)x
+g^{(0)}(\tau)$. We describe a set of number-operator eigenstates states,
$\{\Psi_n(x,\tau)\}$, that form a complete set of states but which, however,
are usually not energy eigenstates. From the extremal state,
$\Psi_0$, and a displacement squeeze operator derived using the Lie
symmetries, we construct squeezed states and compute expectation values for
position and momentum as a function of time, $\tau$. We prove a general
expression for the uncertainty relation for position and momentum in terms of
the squeezing parameters. Specific examples, all corresponding to choices of
$V(x,\tau)$ and having isomorphic Lie algebras, will be dealt with in the
following paper (II).
| [
{
"version": "v1",
"created": "Wed, 7 Aug 1996 20:07:34 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Nieto",
"Michael Martin",
""
],
[
"Truax",
"D. Rodney",
""
]
] |
quant-ph/9608009 | Michael Martin Nieto | Michael Martin Nieto and D. Rodney Truax | Displacement-Operator Squeezed States. II. Examples of Time-Dependent
Systems Having Isomorphic Symmetry Algebras | 24 pages, LaTeX | J.Math.Phys. 38 (1997) 98-114 | 10.1063/1.531837 | LA-UR-96-2756 | quant-ph | null | In this article, results from the previous paper (I) are applied to
calculations of squeezed states for such well-known systems as the harmonic
oscillator, free particle, linear potential, oscillator with a uniform driving
force, and repulsive oscillator. For each example, expressions for the
expectation values of position and momentum are derived in terms of the initial
position and momentum, as well as in the $(\alpha,z)$- and in the
$(z,\alpha)$-representations described in I. The dependence of the
squeezed-state uncertainty products on the time and on the squeezing parameters
are determined for each system.
| [
{
"version": "v1",
"created": "Wed, 7 Aug 1996 20:08:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Nieto",
"Michael Martin",
""
],
[
"Truax",
"D. Rodney",
""
]
] |
quant-ph/9608010 | Cejnar Pavel | M. Biskup, P. Cejnar, R. Kotecky | Decoherence and Efficiency of Quantum Error Correction | 13 pages, no figures, REVTeX style, resubmission to Phys.Rev.A,
important changes | null | null | null | quant-ph | null | Certain physical aspects of quantum error correction are discussed for a
quantum computer (n-qubit register) in contact with a decohering environment.
Under rather plausible assumptions upon the form of the computer-environment
interaction, the efficiency of a general correcting procedure is evaluated as a
function of the spontaneous-decay duration and the rank of errors covered by
the procedure. It is proved that the probability of errors can be made
arbitrarily small by enhancing the correction method, provided the decohering
interaction is represented by a bounded operator.
| [
{
"version": "v1",
"created": "Thu, 8 Aug 1996 13:31:00 GMT"
},
{
"version": "v2",
"created": "Mon, 7 Apr 1997 09:08:44 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Biskup",
"M.",
""
],
[
"Cejnar",
"P.",
""
],
[
"Kotecky",
"R.",
""
]
] |
quant-ph/9608011 | Andrew Steane | Andrew M. Steane (Department of Physics, University of Oxford) | The Ion Trap Quantum Information Processor | This is an invited contribution for Applied Physics B. It will be
submitted at the end of September (1996), and I would greatly appreciate any
constructive criticism or suggested additions before then (email
[email protected]). 37 pages plus 8 figures. Replaced version
corrects figure references | Appl.Phys. B64 (1997) 623 | 10.1007/s003400050225 | null | quant-ph | null | An introductory review of the linear ion trap is given, with particular
regard to its use for quantum information processing. The discussion aims to
bring together ideas from information theory and experimental ion trapping, to
provide a resource to workers unfamiliar with one or the other of these
subjects. It is shown that information theory provides valuable concepts for
the experimental use of ion traps, especially error correction, and conversely
the ion trap provides a valuable link between information theory and physics,
with attendant physical insights. Example parameters are given for the case of
calcium ions. Passive stabilisation will allow about 200 computing operations
on 10 ions; with error correction this can be greatly extended.
| [
{
"version": "v1",
"created": "Thu, 8 Aug 1996 18:21:50 GMT"
},
{
"version": "v2",
"created": "Fri, 9 Aug 1996 14:32:50 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Steane",
"Andrew M.",
"",
"Department of Physics, University of Oxford"
]
] |
quant-ph/9608012 | Raymond LaFlamme | Emanuel Knill and Raymond Laflamme | Concatenated Quantum Codes | 16 pages in PostScirpt, the paper is also avalaible at
http://qso.lanl.gov/qc/ | null | null | null | quant-ph | null | One of the main problems for the future of practical quantum computing is to
stabilize the computation against unwanted interactions with the environment
and imperfections in the applied operations. Existing proposals for quantum
memories and quantum channels require gates with asymptotically zero error to
store or transmit an input quantum state for arbitrarily long times or
distances with fixed error. In this report a method is given which has the
property that to store or transmit a qubit with maximum error $\epsilon$
requires gates with error at most $c\epsilon$ and storage or channel elements
with error at most $\epsilon$, independent of how long we wish to store the
state or how far we wish to transmit it. The method relies on using
concatenated quantum codes with hierarchically implemented recovery operations.
The overhead of the method is polynomial in the time of storage or the distance
of the transmission. Rigorous and heuristic lower bounds for the constant $c$
are given.
| [
{
"version": "v1",
"created": "Thu, 8 Aug 1996 23:13:46 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Knill",
"Emanuel",
""
],
[
"Laflamme",
"Raymond",
""
]
] |
quant-ph/9608013 | Juan Leon | J. Leon (LAEFF and IMAFF, Madrid) | Time-of-arrival formalism for the relativistic particle | 16 pages, no figures, uses LaTeX. The section "Interpretation" has
been completely rewritten and some errors corrected | J.Phys.A30:4791-4802,1997 | 10.1088/0305-4470/30/13/027 | LAEFF 96/17 | quant-ph | null | A suitable operator for the time-of-arrival at a detector is defined for the
free relativistic particle in 3+1 dimensions. For each detector position, there
exists a subspace of detected states in the Hilbert space of solutions to the
Klein Gordon equation. Orthogonality and completeness of the eigenfunctions of
the time-of-arrival operator apply inside this subspace, opening up a standard
probabilistic interpretation.
| [
{
"version": "v1",
"created": "Fri, 9 Aug 1996 14:58:58 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Nov 1996 14:20:03 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Leon",
"J.",
"",
"LAEFF and IMAFF, Madrid"
]
] |
quant-ph/9608014 | Dmitriy Palatnik | Dmitriy Palatnik | Extra-symmetric Born--Infeld theory of electroweak and gravitational
fields | preprint exists now as quant-ph/0202024 | null | null | null | quant-ph gr-qc hep-th | null | This paper suggests a generalization of the Born--Infeld action (1932) for
the case of electroweak and gravitational fields. Basic notions one deals with
are Dirac matrices, $\gamma_{a}$, and dimensionless covariant derivatives,
$\pi_{a} = - i\ell \nabla_{a}$, given in spinorial and scalar representations.
The action contains a characteristic length $\ell$ (which is of order of
magnitude of Planck's length), as a parameter and possesses an extra symmetry
with respect to transformations of the Lorentz group imposed on pairs
($\gamma_{a}$, $\pi_{a}$). It's shown that parameter of the Lorentz group is
associated with a constant value of the electroweak potential at spatial
infinity.
| [
{
"version": "v1",
"created": "Sun, 11 Aug 1996 21:40:00 GMT"
},
{
"version": "v2",
"created": "Sat, 18 Jan 1997 16:07:47 GMT"
},
{
"version": "v3",
"created": "Sun, 2 Feb 1997 18:51:11 GMT"
},
{
"version": "v4",
"created": "Fri, 22 Jun 2001 01:04:52 GMT"
},
{
"version": "v5",
"created": "Fri, 24 Aug 2001 21:19:09 GMT"
},
{
"version": "v6",
"created": "Tue, 25 Dec 2001 01:30:36 GMT"
},
{
"version": "v7",
"created": "Wed, 20 Feb 2002 04:29:51 GMT"
},
{
"version": "v8",
"created": "Tue, 2 Mar 2004 23:24:15 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Palatnik",
"Dmitriy",
""
]
] |
quant-ph/9608015 | Park daegil | Soo-Young Lee, Jae-Rok Kahng, Sahng-Kyoon Yoo, D.K.Park, C.H.Lee,
Chang Soo Park, Eui-Soon Yim | Instantonic approach to triple well potential | Revtex, 11 pages, Included one eps figure | Mod.Phys.Lett. A12 (1997) 1803-1813 | 10.1142/S0217732397001837 | null | quant-ph hep-th | null | By using a usual instanton method we obtain the energy splitting due to
quantum tunneling through the triple well barrier. It is shown that the term
related to the midpoint of the energy splitting in propagator is quite
different from that of double well case, in that it is proportional to the
algebraic average of the frequencies of the left and central wells.
| [
{
"version": "v1",
"created": "Mon, 12 Aug 1996 08:36:08 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Lee",
"Soo-Young",
""
],
[
"Kahng",
"Jae-Rok",
""
],
[
"Yoo",
"Sahng-Kyoon",
""
],
[
"Park",
"D. K.",
""
],
[
"Lee",
"C. H.",
""
],
[
"Park",
"Chang Soo",
""
],
[
"Yim",
"Eui-Soon",
""
]
] |
quant-ph/9608016 | V. P. Karasev | V.P. Karassiov | $sl(2)$ variational schemes for solving one class of quantum nonlinear
models | 9 pages, LATEX | null | null | LPI-OD-96-08 | quant-ph | null | Hamiltonians of a wide-spread class of $G_{inv}$-invariant nonlinear quantum
models, including multiboson and frequency conversion ones, are expressed as
non-linear functions of $sl(2)$ generators. It enables us to use standard
variational schemes, based on $sl(2)$ generalized coherent states as trial
functions, for solving both spectral and evolution tasks. In such a manner a
new analytical expression is found for energy spectra in a mean-field
approximation which is beyond quasi-equidistant ones obtained earlier.
| [
{
"version": "v1",
"created": "Mon, 12 Aug 1996 14:12:55 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Karassiov",
"V. P.",
""
]
] |
quant-ph/9608017 | Haret Rosu | H.C. Rosu | Comment on quant-ph/9509008 by Kumar and Khare | one revtex, doublecolumn page | null | null | IFUG-8-R2/1996 | quant-ph | null | One can find some comments related to the isospectral issue
| [
{
"version": "v1",
"created": "Mon, 12 Aug 1996 21:30:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Rosu",
"H. C.",
""
]
] |
quant-ph/9608018 | null | Sergei V. Shabanov (University of Valencia) | Path Integral in Holomorphic Representation without Gauge Fixation | Submitted to the Proceedings of the international conference Path
Integrals 96, JINR, Dubna (Russia), May, 1996. Latex, 6 pages, no figures | null | null | E2-89-678 | quant-ph | null | A method of path integral construction without gauge fixing in the
holomorphic representation is proposed for finite-dimensional gauge models.
This path integral determines a manifestly gauge-invariant kernel of the
evolution operator.
| [
{
"version": "v1",
"created": "Tue, 13 Aug 1996 08:56:48 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Shabanov",
"Sergei V.",
"",
"University of Valencia"
]
] |
quant-ph/9608019 | K. Berndl | Karin Berndl, Stefan Teufel | Comment on ``Hidden quantum nonlocality revealed by local filters'' | 3 pages, submitted to Physics Letters A | Phys.Lett. A224 (1997) 314-316 | 10.1016/S0375-9601(96)00819-5 | null | quant-ph | null | In Section 3 of his paper (N. Gisin, Phys. Lett. A 210 (1996) 151), Gisin
argues that a ``careless application of generalized quantum measurements can
violate Bell's inequality even for mixtures of product states.'' However, the
observed violation of the CHSH inequality is not in fact due to the application
of generalized quantum measurements, but rather to a misapplication of the
inequality itself -- to conditional expectations in which the conditioning
depends upon the measurements under consideration.
| [
{
"version": "v1",
"created": "Tue, 13 Aug 1996 10:39:08 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Berndl",
"Karin",
""
],
[
"Teufel",
"Stefan",
""
]
] |
quant-ph/9608020 | Hideo Mabuchi | Hideo Mabuchi | Dynamical identification of open quantum systems | Formatted with RevTex, 4 pages plus 4 EPS figures. To appear in
Quantum and Semiclassical Optics (JEOS B) | null | null | null | quant-ph | null | I propose a quantum trajectories approach to parametric identification of the
effective Hamiltonian for a Markovian open quantum system, and discuss an
application motivated by recent experiments in cavity quantum electrodynamics.
This example illustrates a strategy for quantum parameter estimation that
efficiently utilizes the information carried by correlations between
measurements distributed in time.
| [
{
"version": "v1",
"created": "Tue, 13 Aug 1996 15:54:35 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Mabuchi",
"Hideo",
""
]
] |
quant-ph/9608021 | Brif Constantin | C. Brif, A. Mann (Technion, Haifa) | Nonclassical interferometry with intelligent light | to appear in Phys. Rev. A, REVTeX, 25 pages, 8 figures (compressed
PostScript also available at
http://www.technion.ac.il/~brif/abstracts/interferometers.html ). More
information on http://www.technion.ac.il/~brif/science.html | Phys.Rev. A54 (1996) 4505 | 10.1103/PhysRevA.54.4505 | null | quant-ph | null | We study the phase sensitivity of SU(2) and SU(1,1) interferometers fed by
two-mode field states which are intelligent states for Hermitian generators of
the SU(2) and SU(1,1) groups, respectively. Intelligent states minimize
uncertainty relations and this makes possible an essential reduction of the
quantum noise in interferometers. Exact closed expressions for the minimum
detectable phase shift are obtained in terms of the Jacobi polynomials. These
expressions are compared with results for some conventional input states, and
some known results for the squeezed input states are reviewed. It is shown that
the phase sensitivity for an interferometer that employs squeezing-producing
active devices (such as four-wave mixers) should be analyzed in two regimes:
(i) fixed input state and variable interferometer, and (ii) fixed
interferometer and variable input state. The behavior of the phase sensitivity
is essentially different in these two regimes. The use of the SU(2) intelligent
states allows us to achieve a phase sensitivity of order $1/\bar{N}$ (where
$\bar{N}$ is the total number of photons passing through the phase shifters of
the interferometer) without adding four-wave mixers. This avoids the duality in
the behavior of the phase sensitivity that occurs for the squeezed input. On
the other hand, the SU(1,1) intelligent states have the property of achieving
the phase sensitivity of order $1/\bar{N}$ in both regimes.
| [
{
"version": "v1",
"created": "Wed, 14 Aug 1996 13:15:43 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brif",
"C.",
"",
"Technion, Haifa"
],
[
"Mann",
"A.",
"",
"Technion, Haifa"
]
] |
quant-ph/9608022 | Brif Constantin | C. Brif (Technion, Haifa) | Coherent states for quantum systems with a trilinear boson Hamiltonian | to appear in Phys. Rev. A, REVTeX, 18 pages, 3 figures (compressed
PostScript, available at
http://www.technion.ac.il/~brif/abstracts/3lin_cs.html ). More information on
this http://www.technion.ac.il/~brif/science.html | Phys.Rev. A54 (1996) 5253 | 10.1103/PhysRevA.54.5253 | null | quant-ph | null | We introduce a set of coherent states which are associated with quantum
systems governed by a trilinear boson Hamiltonian. These states are produced by
the action of a nonunitary displacement operator on a reference state and can
be equivalently defined by some eigenvalue equations. The system prepared
initially in the reference state will evolve into the coherent state during the
first instants of the interaction process. Some properties of the coherent
states are discussed. In particular, the resolution of the identity is derived
and the related analytic representation in the complex plane is developed. It
is shown that this analytic representation coincides with a double
representation based on the Glauber coherent states of the pump mode and on the
SU(1,1) Perelomov coherent states of the signal-idler system. Entanglement
between the field modes and photon statistics of the coherent states are
studied. Connections between the coherent states and the long-time evolution
induced by the trilinear Hamiltonian are considered.
| [
{
"version": "v1",
"created": "Wed, 14 Aug 1996 13:21:04 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brif",
"C.",
"",
"Technion, Haifa"
]
] |
quant-ph/9608023 | Zhong Tang | David Ritz Finkelstein, Heinrich Saller, and Zhong Tang | Beneath Gauge | Latex | Class.Quant.Grav.14:A127-A142,1997 | 10.1088/0264-9381/14/1A/011 | null | quant-ph | null | Seeking a relativistic quantum infrastructure for gauge physics, we analyze
spacetime into three levels of quantum aggregation analogous to atoms, bonds
and crystals. Quantum spacetime points with no extension make up more complex
link units with microscopic extension, which make up networks with macroscopic
extension. Such a multilevel quantum theory implies parastatistics for the
lowest level entities without additional physical assumptions. Any hypercubical
vacuum mode with off-diagonal long-range order that is covariant under
$\POINCARE$ also has bonus internal symmetries somewhat like those of the
standard model. A vacuum made with the dipole link proposed earlier has too
much symmetry. A quadrupole link solves this problem.
| [
{
"version": "v1",
"created": "Thu, 15 Aug 1996 19:14:29 GMT"
}
] | 2010-04-06T00:00:00 | [
[
"Finkelstein",
"David Ritz",
""
],
[
"Saller",
"Heinrich",
""
],
[
"Tang",
"Zhong",
""
]
] |
quant-ph/9608024 | Zhong Tang | David Ritz Finkelstein, Heinrich Saller, and Zhong Tang | Hypercrystalline vacua | Latex | null | null | null | quant-ph | null | Let a quantum network be a Fermi-Dirac assembly of Fermi-Dirac assemblies of
...of quantum points, interpreted topologically. The simplest quantum-network
vacuum modes with exact conservation of relativistic energy-momentum and
angular momentum also support the local non-Abelian groups of the standard
model, torsion and gravity. The spacetime points of these models naturally obey
parastatistics. We construct a left-handed vacuum network among others.
| [
{
"version": "v1",
"created": "Thu, 15 Aug 1996 19:50:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Finkelstein",
"David Ritz",
""
],
[
"Saller",
"Heinrich",
""
],
[
"Tang",
"Zhong",
""
]
] |
quant-ph/9608025 | Tal Mor | T. Mor | Reducing Quantum Errors and Improving Large Scale Quantum Cryptography | 5 pages, RevTeX | null | null | null | quant-ph | null | Noise causes severe difficulties in implementing quantum computing and
quantum cryptography. Several schemes have been suggested to reduce this
problem, mainly focusing on quantum computation. Motivated by quantum
cryptography, we suggest a coding which uses $N$ quantum bits ($N=n^2$) to
encode one quantum bit, and reduces the error exponentially with $n$. Our
result suggests the possibility of distributing a secure key over very long
distances, and maintaining quantum states for very long times. It also provides
a new quantum privacy amplification against a strong adversary.
| [
{
"version": "v1",
"created": "Thu, 15 Aug 1996 19:07:55 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Mor",
"T.",
""
]
] |
quant-ph/9608026 | Andrew Steane | Andrew Steane (Department of Physics, University of Oxford) | Quantum Reed-Muller Codes | 9 pages LaTeX. Replaced version corrects an important oversight.
Further information at http://eve.physics.ox.ac.uk/ASGhome.html | null | null | null | quant-ph | null | A set of quantum error correcting codes based on classical Reed-Muller codes
is described. The codes have parameters [[n,k,d]] = [[2^r, 2^r - C(r,t) - 2
sum_{i=0}^{t-1} C(r,i), 2^t + 2^{t-1} ]].
| [
{
"version": "v1",
"created": "Fri, 16 Aug 1996 11:56:39 GMT"
},
{
"version": "v2",
"created": "Thu, 22 Aug 1996 23:42:20 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Steane",
"Andrew",
"",
"Department of Physics, University of Oxford"
]
] |
quant-ph/9608027 | null | M. Kibler, L.G. Mardoyan and G.S. Pogosyan | On a Generalized Oscillator System: Interbasis Expansions | 23 pages, Latex File, to be published in International Journal of
Quantum Chemistry | null | null | null | quant-ph atom-ph chem-ph | null | This article deals with a nonrelativistic quantum mechanical study of a
dynamical system which generalizes the isotropic harmonic oscillator system in
three dimensions. The problem of interbasis expansions of the wavefunctions is
completely solved. A connection between the generalized oscillator system
(projected on the z-line) and the Morse system (in one dimension) is discussed.
| [
{
"version": "v1",
"created": "Fri, 16 Aug 1996 15:39:06 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kibler",
"M.",
""
],
[
"Mardoyan",
"L. G.",
""
],
[
"Pogosyan",
"G. S.",
""
]
] |
quant-ph/9608028 | Martin Plenio | M. B. Plenio, V. Vedral, and P. L. Knight (Imperial College London) | Conditional generation of error syndromes in fault-tolerant error
correction | 4 pages | Phys.Rev.A55:4593,1997 | 10.1103/PhysRevA.55.4593 | null | quant-ph | null | In this paper we show how the fault--tolerant error correction scheme
recently proposed by DiVincenzo and Shor may be improved. Our scheme, unlike
the earlier one, can also deal with a single error that might occur {\em
during} the gate operations that are required for the implementation of the
error correction and not only in--between the gates and hence presents an
improvement towards enabling error correction and with it the practical
possibility of some more involved quantum computations, such as e.g.
factorization of large numbers.
| [
{
"version": "v1",
"created": "Sat, 17 Aug 1996 11:09:37 GMT"
}
] | 2008-12-18T00:00:00 | [
[
"Plenio",
"M. B.",
"",
"Imperial College London"
],
[
"Vedral",
"V.",
"",
"Imperial College London"
],
[
"Knight",
"P. L.",
"",
"Imperial College London"
]
] |
quant-ph/9608029 | Vladimir Privman | Dima Mozyrsky, Vladimir Privman, Steven P. Hotaling | Design of gates for quantum computation: the NOT gate | 9 pages in LaTeX | Int.J.Mod.Phys.B11:2207-2215,1997 | 10.1142/S0217979297001143 | null | quant-ph | null | We offer an alternative to the conventional network formulation of quantum
computing. We advance the analog approach to quantum logic gate/circuit
construction. As an illustration, we consider the spatially extended NOT gate
as the first step in the development of this approach. We derive an explicit
form of the interaction Hamiltonian corresponding to this gate and analyze its
properties. We also discuss general extensions to the case of certain
time-dependent interactions which may be useful for practical realization of
quantum logic gates.
| [
{
"version": "v1",
"created": "Sat, 17 Aug 1996 17:57:33 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Sep 1997 22:44:07 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Mozyrsky",
"Dima",
""
],
[
"Privman",
"Vladimir",
""
],
[
"Hotaling",
"Steven P.",
""
]
] |
quant-ph/9608030 | Vlatko Vedral | V. Vedral, M.A.Rippin, M.B.Plenio (Imperial College, London, UK) | Quantum Correlations, Local Interactions and Error Correction | submitted to The Physical Review A | null | 10.1080/09500349708231878 | null | quant-ph | null | We consider the effects of local interactions upon quantum mechanically
entangled systems. In particular we demonstrate that non-local correlations
cannot increase through local operations on any of the subsystems, but that
through the use of quantum error correction methods, correlations can be
maintained. We provide two mathematical proofs that local general measurements
cannot increase correlations, and also derive general conditions for quantum
error correcting codes. Using these we show that local quantum error correction
can preserve nonlocal features of entangled quantum systems. We also
demonstrate these results by use of specific examples employing correlated
optical cavities interacting locally with resonant atoms. By way of counter
example, we also describe a mechanism by which correlations can be increased,
which demonstrates the need for it non-local interactions.
| [
{
"version": "v1",
"created": "Tue, 20 Aug 1996 12:36:14 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Vedral",
"V.",
"",
"Imperial College, London, UK"
],
[
"Rippin",
"M. A.",
"",
"Imperial College, London, UK"
],
[
"Plenio",
"M. B.",
"",
"Imperial College, London, UK"
]
] |
quant-ph/9608031 | Ali Mostafazadeh | Ali Mostafazadeh | Non-Abelian Geometrical Phase for General Three-Dimensional Quantum
Systems | Plain LaTeX, 17 pages | J.Phys.A30:7525-7535,1997 | 10.1088/0305-4470/30/21/023 | University of Alberta preprint no: Thy 29-96 | quant-ph hep-th | null | Adiabatic $U(2)$ geometric phases are studied for arbitrary quantum systems
with a three-dimensional Hilbert space. Necessary and sufficient conditions for
the occurrence of the non-Abelian geometrical phases are obtained without
actually solving the full eigenvalue problem for the instantaneous Hamiltonian.
The parameter space of such systems which has the structure of $\xC P^2$ is
explicitly constructed. The results of this article are applicable for
arbitrary multipole interaction Hamiltonians $H=Q^{i_1,\cdots i_n}J_{i_1}\cdots
J_{i_n}$ and their linear combinations for spin $j=1$ systems. In particular it
is shown that the nuclear quadrupole Hamiltonian $H=Q^{ij}J_iJ_j$ does actually
lead to non-Abelian geometric phases for $j=1$. This system, being bosonic, is
time-reversal-invariant. Therefore it cannot support Abelian adiabatic
geometrical phases.
| [
{
"version": "v1",
"created": "Tue, 20 Aug 1996 20:13:07 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Mostafazadeh",
"Ali",
""
]
] |
quant-ph/9608032 | Wytse van Dijk | K. A. Kiers (UBC) and W. van Dijk (McMaster) | Scattering in one dimension: The coupled Schroedinger equation,
threshold behaviour and Levinson's theorem | to appear in Journal of Mathematic Physics, RevTex, 16 pages, 3
figures (PostScript) | J.Math.Phys.37:6033-6059,1996 | 10.1063/1.531762 | null | quant-ph | null | We formulate scattering in one dimension due to the coupled Schr\"{o}dinger
equation in terms of the $S$ matrix, the unitarity of which leads to
constraints on the scattering amplitudes. Levinson's theorem is seen to have
the form $\eta(0) = \pi (n_b + 1/2 n - 1/2 N)$, where $\eta(0)$ is the phase of
the $S$ matrix at zero energy, $n_b$ the number of bound states with nonzero
binding energy, $n$ the number of half-bound states, and $N$ the number of
coupled equations. In view of the effects due to the half-bound states, the
threshold behaviour of the scattering amplitudes is investigated in general,
and is also illustrated by means of particular potential models.
| [
{
"version": "v1",
"created": "Wed, 21 Aug 1996 20:59:17 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Kiers",
"K. A.",
"",
"UBC"
],
[
"van Dijk",
"W.",
"",
"McMaster"
]
] |
quant-ph/9608033 | Dr S. Chaturvedi | G.S.Agarwal and S. Chaturvedi | A non group theoretic proof of completeness of arbitrary coherent states
$D(\alpha)\mid f>$ | 10 pages, latex, no figures | Mod.Phys.Lett.A11:2083-2090,1996 | 10.1142/S021773239600206X | null | quant-ph | null | A new proof for the completeness of the coherent states $D(\alpha )\mid f>$
for the Heisenberg Weyl group and the groups $SU(2)$ and $SU(1,1)$ is
presented. Generalizations of these results and their consequences are
disussed.
| [
{
"version": "v1",
"created": "Thu, 22 Aug 1996 21:56:14 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Agarwal",
"G. S.",
""
],
[
"Chaturvedi",
"S.",
""
]
] |
quant-ph/9608034 | Dr S. Chaturvedi | P. Shanta, S. Chaturvedi and V.Srinivasan | Eigenstates of linear combinations of two boson creation and
annihilation operators : An algebraic approach | 17 pages, latex, no figures. Revised version. One additional
reference | Mod.Phys.Lett. A11 (1996) 2381-2396 | 10.1142/S021773239600237X | null | quant-ph | null | Eigenstates of the linear combinations $a^2+\beta a^{\dagger2}$ and $ab+\beta
a^\dagger b^\dagger$ of two boson creation and annihilation operators are
presented. The algebraic procedure given here is based on the work of Shanta et
al. [Phys. Rev. Lett. {\bf 72}, 1447, 1994] for constructing eigenstates of
generalized annihilation operators.
| [
{
"version": "v1",
"created": "Thu, 22 Aug 1996 21:58:20 GMT"
},
{
"version": "v2",
"created": "Sat, 24 Aug 1996 21:25:24 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Shanta",
"P.",
""
],
[
"Chaturvedi",
"S.",
""
],
[
"Srinivasan",
"V.",
""
]
] |
quant-ph/9608035 | Ryszard Horodecki | Marek Zukowski, Ryszard Horodecki, Michal Horodecki and Pawel
Horodecki | Generalized quantum measurements and local realism | Revtex, 12 pages; Some modifications of introduction has been made; a
note stating that part of results had been obtained earlier by other authors,
has been added; one postscript figure available at request from
[email protected] | Phys.Rev. A58 (1998) 1694-1698 | 10.1103/PhysRevA.58.1694 | null | quant-ph | null | The structure of a local hidden variable model for experiments involving
sequences of measurements rigorously is analyzed. Constraints imposed by local
realism on the conditional probabilities of the outcomes of such measurement
schemes are explicitly derived. The violation of local realism in the case of
``hidden nonlocality'' is illustrated by an operational example.
| [
{
"version": "v1",
"created": "Thu, 22 Aug 1996 11:48:05 GMT"
},
{
"version": "v2",
"created": "Tue, 29 Oct 1996 16:11:40 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Zukowski",
"Marek",
""
],
[
"Horodecki",
"Ryszard",
""
],
[
"Horodecki",
"Michal",
""
],
[
"Horodecki",
"Pawel",
""
]
] |
quant-ph/9608036 | Dr S. Chaturvedi | S. Chaturvedi | A direct proof of completeness of squeezed odd-number states | 6 pages, latex, no figures | Mod.Phys.Lett.A11:2805-2808,1996 | 10.1142/S0217732396002794 | null | quant-ph | null | A direct proof of the resolution of the identity in the odd sector of the
Fock space in terms of squeezed number states $D(\xi)|2m+1>; D(\xi) =
\exp(({\xi}a^{\dagger2}-{\xi}^*{a^2})/2)$ is given. The proof entails
evaluation of an integral involving Jacobi polynomials. This is achieved by the
use of Racah identities.
| [
{
"version": "v1",
"created": "Fri, 23 Aug 1996 20:24:11 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Chaturvedi",
"S.",
""
]
] |
quant-ph/9608037 | Hagen Kleinert | A. Pelster and H. Kleinert | Transformation Properties of Classical and Quantum Laws under Some
Nonholonomic Spacetime Transformations | Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Paper also at
http://www.physik.fu-berlin.de/~kleinert/kleiner_re249/preprint.html | null | null | null | quant-ph | null | Nonrelativistic Newton and Schroedinger equations remain correct not only
under holonomic but also under nonholonomic transformations of the spacetime
coordinates. Here we study the properties of transformations which are
holonomic in the space coordinates while additionally tranforming the time in a
path-dependent way. This makes them nonholonomic in spacetime. The resulting
transformation formulas of physical quantities establish relations between
different physical systems. Furthermore we point out certain
differential-geometric features of these relations.
| [
{
"version": "v1",
"created": "Mon, 26 Aug 1996 10:26:55 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Pelster",
"A.",
""
],
[
"Kleinert",
"H.",
""
]
] |
quant-ph/9608038 | Todd A. Brun | T.A. Brun (Physics, Queen Mary and Westfield, London), N. Gisin (GAP,
University of Geneva), P.F. O'Mahony and M. Rigo (Mathematics, Royal
Holloway, London) | From quantum trajectories to classical orbits | 7 pages RevTeX 3.0 + 2 figures (postscript). Submitted to Physical
Review Letters | null | 10.1016/S0375-9601(97)00217-X | QMW-PH-96-22 | quant-ph | null | Recently it has been shown that the evolution of open quantum systems may be
``unraveled'' into individual ``trajectories,'' providing powerful numerical
and conceptual tools. In this letter we use quantum trajectories to study
mesoscopic systems and their classical limit. We show that in this limit,
Quantum Jump (QJ) trajectories approach a diffusive limit very similar to the
Quantum State Diffusion (QSD) unraveling. The latter follows classical
trajectories in the classical limit. Hence, both unravelings show the rise of
classical orbits. This is true for both regular and chaotic systems (which
exhibit strange attractors).
| [
{
"version": "v1",
"created": "Mon, 26 Aug 1996 16:10:06 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brun",
"T. A.",
"",
"Physics, Queen Mary and Westfield, London"
],
[
"Gisin",
"N.",
"",
"GAP,\n University of Geneva"
],
[
"O'Mahony",
"P. F.",
"",
"Mathematics, Royal\n Holloway, London"
],
[
"Rigo",
"M.",
"",
"Mathematics, Royal\n Holloway, London"
]
] |
quant-ph/9608039 | Ricardo Moritz Cavalcanti | R. M. Cavalcanti (PUC-Rio) and C. A. A. de Carvalho (UFRJ) | Subtleties in Quantum Mechanical Metastability | 8 pages, revtex, a few minor changes, some references added | null | null | null | quant-ph cond-mat hep-th | null | We present a detailed discussion of some features of quantum mechanical
metastability. We analyze the nature of decaying (quasistationary) states and
the regime of validity of the exponencial law, as well as decays at finite
temperature. We resort to very simple systems and elementary techniques to
emphasize subtle aspects of the problem.
| [
{
"version": "v1",
"created": "Mon, 26 Aug 1996 16:51:51 GMT"
},
{
"version": "v2",
"created": "Tue, 27 May 1997 02:13:14 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Cavalcanti",
"R. M.",
"",
"PUC-Rio"
],
[
"de Carvalho",
"C. A. A.",
"",
"UFRJ"
]
] |
quant-ph/9608040 | Alan Kostelecky | Robert Bluhm, Alan Kostelecky, and Bogdan Tudose | Revival Structure of Stark Wave Packets | latex file, 11 pages | Phys.Rev.A55:819,1997 | 10.1103/PhysRevA.55.819 | IUHET 327, January 1996 | quant-ph | null | The revival structure of Stark wave packets is considered. These wave packets
have energies depending on two quantum numbers and are characterized by two
sets of classical periods and revival times. The additional time scales result
in revival structures different from those of free Rydberg wave packets. We
show that Stark wave packets can exhibit fractional revivals. We also show that
these wave packets exhibit particular features unique to the Stark effect. For
instance, the wave functions can be separated into distinct sums over even and
odd values of the principal quantum number. These even and odd superpositions
interfere in different ways, which results in unexpected periodicities in the
interferograms of Stark wave packets.
| [
{
"version": "v1",
"created": "Mon, 26 Aug 1996 21:48:50 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
],
[
"Tudose",
"Bogdan",
""
]
] |
quant-ph/9608041 | Thorsten Koehler | Thorsten Koehler | Quantum jumps in hydrogen-like systems | 7 pages RevTeX + 2 figures Phys. Rev A accepted | null | 10.1103/PhysRevA.54.4553 | null | quant-ph | null | In this paper it is shown that the Lyman-$\alpha$ transition of a single
hydrogen-like system driven by a laser exhibits macroscopic dark periods,
provided there exists an additional constant electric field. We describe the
photon-counting process under the condition that the polarization of the laser
coincides with the direction of the constant electric field. The theoretical
results are given for the example of $^4{He}^+$. We show that the emission
behavior depends sensitively on the Lamb shift (W.E. Lamb, R.C. Retherford,
Phys. Rev. 72, 241 (1947)) between the $2s_{1/2}$ and $2p_{1/2}$ energy levels.
A possibly realizable measurement of the mean duration of the dark periods
should give quantitative information about the above energy difference by using
the proposed photon-counting process.
| [
{
"version": "v1",
"created": "Tue, 27 Aug 1996 08:49:04 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Koehler",
"Thorsten",
""
]
] |
quant-ph/9608042 | Frank Antonsen | Frank Antonsen (Niels Bohr Institute) | Wigner-Weyl-Moyal Formalism on Algebraic Structures | pure LaTeX | Int.J.Theor.Phys. 37 (1998) 697-758 | null | null | quant-ph | null | We first introduce the Wigner-Weyl-Moyal formalism for a theory whose
phase-space is an arbitrary Lie algebra. We also generalize to quantum Lie
algebras and to supersymmetric theories. It turns out that the
non-commutativity leads to a deformation of the classical phase-space: instead
of being a vector space it becomes a manifold, the topology of which is given
by the commutator relations. It is shown in fact that the classical
phase-space, for a semi-simple Lie algebra, becomes a homogenous symplectic
manifold. The symplectic product is also deformed. We finally make some
comments on how to generalize to $C^*$-algebras and other operator algebras
too.
| [
{
"version": "v1",
"created": "Wed, 28 Aug 1996 15:16:45 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Antonsen",
"Frank",
"",
"Niels Bohr Institute"
]
] |
quant-ph/9608043 | Frank Antonsen | Frank Antonsen, Karsten Bormann | Wormholes and Time-Machines | LaTeX, appears in Proceedings Third International A. Friedmann
Seminar, St. Petersburg 1995, Friedmann Laboratory Publishers 1996 | null | null | null | quant-ph | null | It has been proposed that wormholes can be made to function as time-machines.
This opens up the question of whether this can be accomodated within a
self-consistent physics or not. In this contribution we present some quantum
mechanical considerations in this respect.
| [
{
"version": "v1",
"created": "Wed, 28 Aug 1996 15:40:01 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Antonsen",
"Frank",
""
],
[
"Bormann",
"Karsten",
""
]
] |
quant-ph/9608044 | David Politzer | H. David Politzer | Bose-stimulated scattering off a cold atom trap | 18 pages (REVTeX), no figures | null | 10.1103/PhysRevA.55.1140 | CALT-68-2070 | quant-ph | null | The angle and temperature dependence of the photon scattering rate for
Bose-stimulated atom recoil transitions between occupied states is compared to
diffraction and incoherent Rayleigh scattering near the Bose-Einstein
transition for an optically thin trap in the limit of large particle number, N.
Each of these processes has a range of angles and temperatures for which it
dominates over the others by a divergent factor as N->oo.
| [
{
"version": "v1",
"created": "Wed, 28 Aug 1996 22:31:07 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Politzer",
"H. David",
""
]
] |
quant-ph/9608045 | Hiromichi Nakazato | Raffaella Blasi (1), Hiromichi Nakazato (2), Mikio Namiki (2) Saverio
Pascazio (1 and 3) ((1) Dipt. di Fisica, Univ. di Bari, Italy, (2) Dept. of
Phys, Waseda Univ., Japan, (3) INFN, Bari, Italy) | Emergence of a Wiener process as a result of the quantum mechanical
interaction with a macroscopic medium | 20 pages, LaTeX, no figures | null | 10.1016/S0378-4371(97)00043-5 | BA-TH/96-246, WU-HEP-96-9 | quant-ph hep-th | null | We analyze a modified version of the Coleman-Hepp model, that is able to take
into account energy-exchange processes between the incoming particle and the
linear array made up of $N$ spin-1/2 systems. We bring to light the presence of
a Wiener dissipative process in the weak-coupling, macroscopic ($N \rightarrow
\infty$) limit. In such a limit and in a restricted portion of the total
Hilbert space, the particle undergoes a sort of Brownian motion, while the free
Hamiltonian of the spin array serves as a Wiener process. No assumptions are
made on the spectrum of the Hamiltonian of the spin system, and no partial
trace is computed over its states. The mechanism of appearance of the
stochastic process is discussed and contrasted to other noteworthy examples in
the literature. The links with van Hove's ``$\lambda^2 T$ limits are
emphasized.
| [
{
"version": "v1",
"created": "Thu, 29 Aug 1996 09:30:48 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Blasi",
"Raffaella",
"",
"1 and 3"
],
[
"Nakazato",
"Hiromichi",
"",
"1 and 3"
],
[
"Namiki",
"Mikio",
"",
"1 and 3"
],
[
"Pascazio",
"Saverio",
"",
"1 and 3"
]
] |
quant-ph/9608046 | Jonathan Halliwell | Jonathan Halliwell, Andreas Zoupas (Imperial College) | The Post-Decoherence Density Matrix Propagator for Quantum Brownian
Motion | 17 pages, plain Tex, submitted to Physical Review D | Phys.Rev.D55:4697-4704,1997 | 10.1103/PhysRevD.55.4697 | Imperial College preprint 95-96/67 | quant-ph | null | Using the path integral representation of the density matrix propagator of
quantum Brownian motion, we derive its asymptotic form for times greater than
the localization time, $ (\hbar / \gamma k T )^{\half}$, where $\gamma$ is the
dissipation and $T$ the temperature of the thermal environment. The
localization time is typically greater than the decoherence time, but much
shorter than the relaxation time, $\gamma^{-1}$. We use this result to show
that the reduced density operator rapidly evolves into a state which is
approximately diagonal in a set of generalized coherent states. We thus
reproduce, using a completely different method, a result we previously obtained
using the quantum state diffusion picture (Phys.Rev. D52, 7294 (1995)). We also
go beyond this earlier result, in that we derive an explicit expression for the
weighting of each phase space localized state in the approximately diagonal
density matrix, as a function of the initial state. For sufficiently long times
it is equal to the Wigner function, and we confirm that the Wigner function is
positive for times greater than the localization time (multiplied by a number
of order 1).
| [
{
"version": "v1",
"created": "Thu, 29 Aug 1996 14:42:58 GMT"
}
] | 2008-12-18T00:00:00 | [
[
"Halliwell",
"Jonathan",
"",
"Imperial College"
],
[
"Zoupas",
"Andreas",
"",
"Imperial College"
]
] |
quant-ph/9608047 | Chris Adami | N. J. Cerf, C. Adami (California Institute of Technology) | Entropic Bell Inequalities | 4 pages RevTeX, 2 figures. Minor revisions. To appear in Phys. Rev. A | Phys.Rev. A55 (1997) 3371 | 10.1103/PhysRevA.55.3371 | KRL MAP-205 | quant-ph | null | We derive entropic Bell inequalities from considering entropy Venn diagrams.
These entropic inequalities, akin to the Braunstein-Caves inequalities, are
violated for a quantum mechanical Einstein-Podolsky-Rosen pair, which implies
that the conditional entropies of Bell variables must be negative in this case.
This suggests that the satisfaction of entropic Bell inequalities is equivalent
to the non-negativity of conditional entropies as a necessary condition for
separability.
| [
{
"version": "v1",
"created": "Thu, 29 Aug 1996 18:00:35 GMT"
},
{
"version": "v2",
"created": "Wed, 12 Feb 1997 22:56:04 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cerf",
"N. J.",
"",
"California Institute of Technology"
],
[
"Adami",
"C.",
"",
"California Institute of Technology"
]
] |
quant-ph/9608048 | Emanuel Knill | E. Knill | Non-binary Unitary Error Bases and Quantum Codes | 10 pages, preliminary report | null | null | LANL report LAUR-96-2717 | quant-ph | null | Error operator bases for systems of any dimension are defined and natural
generalizations of the bit/sign flip error basis for qubits are given. These
bases allow generalizing the construction of quantum codes based on eigenspaces
of Abelian groups. As a consequence, quantum codes can be constructed from
linear codes over $\ints_n$ for any $n$. The generalization of the punctured
code construction leads to many codes which permit transversal (i.e. fault
tolerant) implementations of certain operations compatible with the error
basis.
| [
{
"version": "v1",
"created": "Thu, 29 Aug 1996 19:17:10 GMT"
},
{
"version": "v2",
"created": "Tue, 8 Oct 1996 21:43:52 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Knill",
"E.",
""
]
] |
quant-ph/9608049 | Emanuel Knill | E. Knill | Group Representations, Error Bases and Quantum Codes | 11 pages, preliminary report | null | null | LANL report LAUR-96-2807 | quant-ph | null | This report continues the discussion of unitary error bases and quantum codes
begun in "Non-binary Unitary Error Bases and Quantum Codes". Nice error bases
are characterized in terms of the existence of certain characters in a group. A
general construction for error bases which are non-abelian over the center is
given. The method for obtaining codes due to Calderbank et al. is generalized
and expressed purely in representation theoretic terms. The significance of the
inertia subgroup both for constructing codes and obtaining the set of
transversally implementable operations is demonstrated.
| [
{
"version": "v1",
"created": "Thu, 29 Aug 1996 19:32:40 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Knill",
"E.",
""
]
] |
quant-ph/9609001 | null | D.A. Trifonov | Algebraic Coherent States and Squeezing | 15 pages, latex, 2 figures available upon request. In the replaced
version 1 reference (the last one) is added | null | null | INRNE-TH-96/9 | quant-ph hep-th | null | Eigenstates of general complex linear combination of SU(1,1) generators
(su^c(1,1) algebraic coherent states (ACS)) are constructed and discussed. In
case of quadratic boson representation ACS can exhibit strong both linear and
quadratic amplitude squeezing. ACS for a given Lie group algebra contain the
corresponding Perelomov CS with maximal symmetry.
| [
{
"version": "v1",
"created": "Fri, 30 Aug 1996 15:44:54 GMT"
},
{
"version": "v2",
"created": "Mon, 23 Sep 1996 15:50:20 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Trifonov",
"D. A.",
""
]
] |
quant-ph/9609002 | Carlo Rovelli | Carlo Rovelli | Relational Quantum Mechanics | Substantially revised version. LaTeX file | Int. J. of Theor. Phys. 35 (1996) 1637 | 10.1007/BF02302261 | null | quant-ph gr-qc hep-th | null | I suggest that the common unease with taking quantum mechanics as a
fundamental description of nature (the "measurement problem") could derive from
the use of an incorrect notion, as the unease with the Lorentz transformations
before Einstein derived from the notion of observer-independent time. I suggest
that this incorrect notion is the notion of observer-independent state of a
system (or observer-independent values of physical quantities). I reformulate
the problem of the "interpretation of quantum mechanics" as the problem of
deriving the formalism from a few simple physical postulates. I consider a
reformulation of quantum mechanics in terms of information theory. All systems
are assumed to be equivalent, there is no observer-observed distinction, and
the theory describes only the information that systems have about each other;
nevertheless, the theory is complete.
| [
{
"version": "v1",
"created": "Sat, 31 Aug 1996 10:13:29 GMT"
},
{
"version": "v2",
"created": "Mon, 24 Feb 1997 20:09:52 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Rovelli",
"Carlo",
""
]
] |
quant-ph/9609003 | Olavo Leopoldino Da Silva Filho | L.S.F. Olavo | Quantum Mechanics as a Classical Theory XIII: The Tunnel Effect | 10 pages, plain latex | null | null | UnB-013 | quant-ph | null | In this continuation paper we will address the problem of tunneling. We will
show how to settle this phenomenon within our classical interpretation. It will
be shown that, rigorously speaking, there is no tunnel effect at all.
| [
{
"version": "v1",
"created": "Wed, 4 Sep 1996 19:25:30 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9609004 | Maraner | J.R. Klauder (Univ. of Florida, USA), P. Maraner (Univ. of Parma,
Italy) | Dynamics as Shadow of Phase Space Geometry | LaTeX (epsfig macros), 30 pages, 1 figure | Annals Phys. 253 (1997) 356-375 | 10.1006/aphy.1996.5631 | UPRF-96-462 | quant-ph | null | Starting with the generally well accepted opinion that quantizing an
arbitrary Hamiltonian system involves picking out some additional structure on
the classical phase space (the {\sl shadow} of quantum mechanics in the
classical theory), we describe classical as well as quantum dynamics as a
purely geometrical effect by introducing a {\sl phase space metric structure}.
This produces an ${\cal O}(\hbar)$ modification of the classical equations of
motion reducing at the same time the quantization of an arbitrary Hamiltonian
system to standard procedures. Our analysis is carried out in analogy with the
adiabatic motion of a charged particle in a curved background (the additional
metric structure) under the influence of a universal magnetic field (the
classical symplectic structure). This allows one to picture dynamics in an
unusual way, and reveals a dynamical mechanism that produces the selection of
the right set of physical quantum states.
| [
{
"version": "v1",
"created": "Thu, 5 Sep 1996 09:36:02 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Klauder",
"J. R.",
"",
"Univ. of Florida, USA"
],
[
"Maraner",
"P.",
"",
"Univ. of Parma,\n Italy"
]
] |
quant-ph/9609005 | K. Berndl | Stefan Teufel, Karin Berndl, Detlef D\"urr, Sheldon Goldstein, Nino
Zangh\`{\i} | Locality and Causality in Hidden Variables Models of Quantum Theory | revised version, 21 pages, submitted to Physical Review A | Phys.Rev. A56 (1997) 1217 | 10.1103/PhysRevA.56.1217 | null | quant-ph | null | Motivated by Popescu's example of hidden nonlocality, we elaborate on the
conjecture that quantum states that are intuitively nonlocal, i.e., entangled,
do not admit a local causal hidden variables model. We exhibit quantum states
which either (i) are nontrivial counterexamples to this conjecture or (ii)
possess a new kind of more deeply hidden irreducible nonlocality. Moreover, we
propose a nonlocality complexity classification scheme suggested by the latter
possibility. Furthermore, we show that Werner's (and similar) hidden variables
models can be extended to an important class of generalized observables.
Finally a result of Fine on the equivalence of stochastic and deterministic
hidden variables is generalized to causal models.
| [
{
"version": "v1",
"created": "Fri, 6 Sep 1996 12:40:31 GMT"
},
{
"version": "v2",
"created": "Thu, 6 Feb 1997 11:09:58 GMT"
},
{
"version": "v3",
"created": "Wed, 30 Apr 1997 13:20:17 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Teufel",
"Stefan",
""
],
[
"Berndl",
"Karin",
""
],
[
"Dürr",
"Detlef",
""
],
[
"Goldstein",
"Sheldon",
""
],
[
"Zangh\\`ı",
"Nino",
""
]
] |
quant-ph/9609006 | Lev Vaidman | Lev Vaidman | On Schizophrenic Experiences of the Neutron or Why We Should Believe in
the Many-Worlds Interpretation of Quantum Theory | 21 pages, 5 eps figures, LaTeX | null | null | TAUP 2058-93 | quant-ph | null | This is a philosophical paper in favor of the Many-Worlds Interpretation
(MWI) of quantum theory. The concept of the ``measure of existence of a world''
is introduced and some difficulties with the issue of probability in the
framework of the MWI are resolved. Brief comparative analyses of the Bohm
theory and the Many-Minds Interpretation are given.
| [
{
"version": "v1",
"created": "Sat, 7 Sep 1996 18:39:23 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Vaidman",
"Lev",
""
]
] |
quant-ph/9609007 | Lev Vaidman | Lev Vaidman | Defending Time-Symmetrized Quantum Theory | 19 pages, LaTeX | null | null | TAUP 2366-96 | quant-ph | null | Recently, several authors have criticized time-symmetrized quantum theory
originated by the work of Aharonov et al. (1964). The core of this criticism
was the proof, which appeared in various forms, showing that counterfactual
interpretation of time-symmetrized quantum theory cannot be reconciled with the
standard quantum theory. I argue here that the apparent contradiction appears
due to inappropriate usage of traditional time asymmetric approach to
counterfactuals, and that the contradiction disappears when the problem is
analyzed in terms of time-symmetric counterfactuals. I analyze various aspects
of time-symmetry of quantum theory and defend the time-symmetrized formalism.
| [
{
"version": "v1",
"created": "Sat, 7 Sep 1996 19:00:01 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Vaidman",
"Lev",
""
]
] |
quant-ph/9609008 | Park Dae Kil | Chang Soo Park, Soo-Young Lee, Jae-Rok Kahng, Sahng-Kyoon Yoo, D.K.
Park, C.H. Lee, Eui-Soon Yim | Effect of Anharmonicity on the WKB Energy Splitting in a Double Well
Potential | two eps figures are included | J.KoreanPhys.Soc.30:637-639,1997 | null | GTP-96-02 | quant-ph hep-th | null | We investigate the effect of anharmonicity on the WKB approximation in a
double well potential. By incorporating the anharmonic perturbation into the
WKB energy splitting formula we show that the WKB approximation can be greatly
improved in the region over which the tunneling is appreciable. We also observe
that the usual WKB results can be obtained from our formalism as a limiting
case in which the two potential minima are far apart.
| [
{
"version": "v1",
"created": "Mon, 9 Sep 1996 14:32:49 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Park",
"Chang Soo",
""
],
[
"Lee",
"Soo-Young",
""
],
[
"Kahng",
"Jae-Rok",
""
],
[
"Yoo",
"Sahng-Kyoon",
""
],
[
"Park",
"D. K.",
""
],
[
"Lee",
"C. H.",
""
],
[
"Yim",
"Eui-Soon",
""
]
] |
quant-ph/9609009 | David J. Fernandez C. | David J. Fernandez C. (Physics Department, CINVESTAV) | SUSUSY quantum mechanics | 7 pages, 2 encapsulated postscript figures, uses epsf.sty talk given
at the II International Workshop on Classical and Quantum Integrable Systems,
Dubna (Russia), 8-12 July (1996) to be published in Int. J. Mod. Phys. A | Int.J.Mod.Phys.A12:171-176,1997 | 10.1142/S0217751X97000232 | null | quant-ph hep-th | null | The exactly solvable eigenproblems in Schr\"odinger quantum mechanics
typically involve the differential "shift operators". In the standard
supersymmetric (SUSY) case, the shift operator turns out to be of first order.
In this work, I discuss a technique to generate exactly solvable eigenproblems
by using second order shift operators. The links between this method and SUSY
are analysed. As an example, we show the existence of a two-parametric family
of exactly solvable Hamiltonians, which contains the Abraham-Moses potentials
as a particular case.
| [
{
"version": "v1",
"created": "Sat, 14 Sep 1996 02:12:15 GMT"
}
] | 2011-04-15T00:00:00 | [
[
"C.",
"David J. Fernandez",
"",
"Physics Department, CINVESTAV"
]
] |
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