id
stringlengths
9
16
submitter
stringlengths
1
64
authors
stringlengths
3
62.8k
title
stringlengths
1
382
comments
stringlengths
1
1.15k
journal-ref
stringlengths
1
557
doi
stringlengths
7
153
report-no
stringlengths
1
509
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
timestamp[s]date
2007-05-23 00:00:00
2025-04-04 00:00:00
authors_parsed
sequencelengths
1
2.83k
quant-ph/9711072
Gyula Bene
Gyula Bene (Eotvos University, Budapest)
On the nature of the quantum states of macroscopic systems
4 pages, RevTex, 2 figures (as postscript files), submitted to Phys.Rev.Lett
null
null
null
quant-ph
null
It is assumed that the quantum state that may describe a macroscopic system at a given instant of time is one of the eigenstates of the reduced density matrix calculated from the wave function of the system plus its environment. This implies that the above quantum state is a member of a special orthonormed set of states. Using a suitable Monte-Carlo simulation, this property is shown to be consistent with the extremely small standard deviation for the coordinates and the momenta of macroscopic systems. Consequences for statistical mechanics and possible observable effects are discussed.
[ { "version": "v1", "created": "Fri, 28 Nov 1997 13:18:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Bene", "Gyula", "", "Eotvos University, Budapest" ] ]
quant-ph/9711073
Robert Bluhm
Robert Bluhm, Alan Kostelecky, and Bogdan Tudose
Revivals of Rydberg Wave Packets
Talk presented by Robert Bluhm at the VIII International Conference on Symmetry Methods in Physics, Dubna, Russia, July, 1997
Phys.Atom.Nucl.61:1948-1953,1998; Yad.Fiz.61:2057-2061,1998
null
COLBY 97-07, IUHET 371
quant-ph
null
We examine the revival structure of Rydberg wave packets. These wave packets exhibit initial classical periodic motion followed by a sequence of collapse, fractional/full revivals, and fractional/full superrevivals. The effects of quantum defects on wave packets in alkali-metal atoms and a squeezed-state description of the initial wave packets are also described. We then examine the revival structure of Rydberg wave packets in the presence of an external electric field, i.e., the revival structure of Stark wave packets. These wave packets have energies that depend on two quantum numbers and exhibit new types of interference behavior.
[ { "version": "v1", "created": "Fri, 28 Nov 1997 19:32:04 GMT" } ]
2009-09-25T00:00:00
[ [ "Bluhm", "Robert", "" ], [ "Kostelecky", "Alan", "" ], [ "Tudose", "Bogdan", "" ] ]
quant-ph/9712001
Trevor Marshall
Trevor W. Marshall (Mathematics Dept., Manchester Univ., UK)
The myth of the down converted photon
See also http://xxx.lanl.gov/abs/quant-ph/9711029 http://xxx.lanl.gov/abs/quant-ph/9711046 http://www.keyinnov.demon.co.uk
null
null
MUM-97-15
quant-ph
null
Parametric down conversion (PDC) is widely interpreted in terms of photons, but, even among supporters of this interpretation, many properties of the photon pairs have been described as "mind-boggling" and even "absurd". In this article we argue that a classical description of the light field, taking account of its vacuum fluctuations, leads us to a consistent and rational account of all PDC phenomena. "Nonlocality" in quantum optics is simply an artifact of the Photon Concept. We also predict a new phenomenon, namely the appearance of a second, or satellite PDC rainbow.
[ { "version": "v1", "created": "Sat, 29 Nov 1997 12:00:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Marshall", "Trevor W.", "", "Mathematics Dept., Manchester Univ., UK" ] ]
quant-ph/9712002
Adrian Kent
Adrian Kent
Permanently Secure Quantum Bit Commitment from a Temporary Computation Bound
null
null
null
DAMTP/97-137
quant-ph
null
This paper has been withdrawn. See quant-ph/9806031 for a discussion.
[ { "version": "v1", "created": "Mon, 1 Dec 1997 20:11:56 GMT" }, { "version": "v2", "created": "Fri, 20 Aug 1999 16:49:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Kent", "Adrian", "" ] ]
quant-ph/9712003
N. David Mermin
N. David Mermin
Nonlocality and Bohr's reply to EPR
3 pages
null
null
null
quant-ph
null
Henry Stapp's commentary (quant-ph/9711060) does not capture the point I was trying to make in my essay (quant-ph/9711052) on how a subtle flaw in his ``proof of quantum nonlocality'' clearly illustrates a central issue in Bohr's reply to EPR. I therefore wish to emphasize what I do and do not say in that essay and even, with some trepidation, what Bohr did and did not say in his reply to EPR.
[ { "version": "v1", "created": "Mon, 1 Dec 1997 19:59:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Mermin", "N. David", "" ] ]
quant-ph/9712004
Kevin M. Obenland
Kevin M. Obenland and Alvin M. Despain
Models to Reduce the Complexity of Simulating a Quantum Computer
25 pages
null
null
ISI Technical Report
quant-ph
null
Recently Quantum Computation has generated a lot of interest due to the discovery of a quantum algorithm which can factor large numbers in polynomial time. The usefulness of a quantum com puter is limited by the effect of errors. Simulation is a useful tool for determining the feasibility of quantum computers in the presence of errors. The size of a quantum computer that can be simulat ed is small because faithfully modeling a quantum computer requires an exponential amount of storage and number of operations. In this paper we define simulation models to study the feasibility of quantum computers. The most detailed of these models is based directly on a proposed imple mentation. We also define less detailed models which are exponentially less complex but still pro duce accurate results. Finally we show that the two different types of errors, decoherence and inaccuracies, are uncorrelated. This decreases the number of simulations which must be per formed.
[ { "version": "v1", "created": "Tue, 2 Dec 1997 03:45:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Obenland", "Kevin M.", "" ], [ "Despain", "Alvin M.", "" ] ]
quant-ph/9712005
Guo Guangcan
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Prevention of dissipation with two particles
12 pages, Latex
null
10.1103/PhysRevA.57.2399
null
quant-ph
null
An error prevention procedure based on two-particle encoding is proposed for protecting an arbitrary unknown quantum state from dissipation, such as phase damping and amplitude damping. The schemes, which exhibits manifestation of the quantum Zeno effect, is effective whether quantum bits are decohered independently or cooperatively. We derive the working condition of the scheme and argue that this procedure has feasible practical implementation.
[ { "version": "v1", "created": "Tue, 2 Dec 1997 08:56:42 GMT" } ]
2009-10-30T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9712006
null
Roy Ringo(Argonne)
A Possible Einstein-Podolsky-Rosen Probe of the Momentum-Position Uncertainty Relation
12 pages (LaTex),1 figure (Postscript)
null
null
null
quant-ph
null
It is suggested that a measurement of the products of photoemission by alkali atoms excited after extraction from a trap, might, using the EPR strategy, show a significant violation of the momentum-position uncertainty relation. If this failed, as is quite likely, possible causes, such as retroactive propagation of influences and retrodiction failure, could be tested on the proposed apparatus.
[ { "version": "v1", "created": "Tue, 2 Dec 1997 18:23:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Ringo", "Roy", "", "Argonne" ] ]
quant-ph/9712007
T. Pradhan
T. Pradhan
Fabrication of Magnetic Charge From Excited States of H-atom
8 pages, revised substantially
null
null
null
quant-ph hep-th
null
It is shown that the excited states of hydrogen atom in a uniform electric field (Stark States) posess magnetic charge whose magnitude is given by a Dirac-Saha type relation: $$ {eg\over \hbar c} = \sqrt 3 n $$ An experiment is proposed to fabricate such states and to detect their magnetic charge.
[ { "version": "v1", "created": "Wed, 3 Dec 1997 06:15:19 GMT" }, { "version": "v2", "created": "Fri, 7 Jul 2000 04:40:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Pradhan", "T.", "" ] ]
quant-ph/9712008
Yang Guang-can
Guangcan Yang
Semiclassical Green Function in Mixed Spaces
8 pages, typeset by Scientific Word
null
10.1103/PhysRevA.58.2600
null
quant-ph
null
A explicit formula on semiclassical Green functions in mixed position and momentum spaces is given, which is based on Maslov's multi-dimensional semiclassical theory. The general formula includes both coordinate and momentum representations of Green functions as two special cases of the form.
[ { "version": "v1", "created": "Wed, 3 Dec 1997 13:48:27 GMT" }, { "version": "v2", "created": "Tue, 10 Feb 1998 10:41:50 GMT" }, { "version": "v3", "created": "Wed, 11 Feb 1998 03:26:45 GMT" } ]
2009-10-30T00:00:00
[ [ "Yang", "Guangcan", "" ] ]
quant-ph/9712009
Marc A. Rieffel
Marc A. Rieffel (U. C. Berkeley)
Questions on quantization
14 pages LATEX. Submitted to the Proceedings of the International Conference on Operator Algebras and Operator Theory held in Shanghai (July 4-July 9, 1997)
Contemp.Math. 228 (1998) 315-326
null
null
quant-ph funct-an math.FA
null
We pose 22 relatively general questions about quantization in the operator algebra setting. In the process we briefly survey some recent developments.
[ { "version": "v1", "created": "Wed, 3 Dec 1997 15:38:07 GMT" }, { "version": "v2", "created": "Thu, 23 Apr 1998 15:45:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Rieffel", "Marc A.", "", "U. C. Berkeley" ] ]
quant-ph/9712010
Michael G. Moore
M. G. Moore and P. Meystre
Wave atom optics theory of the Collective Atomic-Recoil Laser
plain tex, 4 pages, 3 figures
null
null
null
quant-ph physics.atom-ph physics.optics
null
We present a wave atom optics theory of the Collective Atomic-Recoil Laser, where the atomic center-of-mass motion is treated quantum mechanically. It extends the previous ray atom optics theory, which treated the center-of-mass atomic motion classically, to the realm of ultracold atoms. For the case of a far off resonant pump laser we derive an analytical solution which gives the linear response of the CARL system for both the quantum and classical regimes. A linear stability analysis reveals significant qualitative differences between these two regimes, which arise from the effects of diffraction on the atomic center-of-mass motion.
[ { "version": "v1", "created": "Wed, 3 Dec 1997 16:51:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Moore", "M. G.", "" ], [ "Meystre", "P.", "" ] ]
quant-ph/9712011
Lov K. Grover
Lov K. Grover (Bell Labs, Murray Hill, NJ)
Quantum computers can search rapidly by using almost any transformation
This paper is an adapted version of quant-ph/9711043. It has been modified to make it more readable for physicists. 9 pages, postscript
Phys.Rev.Lett.80:4329-4332,1998
10.1103/PhysRevLett.80.4329
null
quant-ph
null
A quantum computer has a clear advantage over a classical computer for exhaustive search. The quantum mechanical algorithm for exhaustive search was originally derived by using subtle properties of a particular quantum mechanical operation called the Walsh-Hadamard (W-H) transform. This paper shows that this algorithm can be implemented by replacing the W-H transform by almost any quantum mechanical operation. This leads to several new applications where it improves the number of steps by a square-root. It also broadens the scope for implementation since it demonstrates quantum mechanical algorithms that can readily adapt to available technology.
[ { "version": "v1", "created": "Wed, 3 Dec 1997 22:06:53 GMT" } ]
2009-01-23T00:00:00
[ [ "Grover", "Lov K.", "", "Bell Labs, Murray Hill, NJ" ] ]
quant-ph/9712012
Juan Fernando Poyatos
J. F. Poyatos (1,2), J.I. Cirac (1,2), and P. Zoller (2) ((1) Departamento de Fisica Aplicada, Universidad de Castilla-La Mancha, Spain (2) Institut fuer Theoretische Physik, Universitaet Innsbruck, Austria)
Quantum gates with "hot" trapped ions
4 pages, 2 eps figures
Phys.Rev.Lett.81:1322-1325,1998
10.1103/PhysRevLett.81.1322
SlikeiH-02
quant-ph
null
We propose a scheme to perform a fundamental two-qubit gate between two trapped ions using ideas from atom interferometry. As opposed to the scheme considered by J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995), it does not require laser cooling to the motional ground state.
[ { "version": "v1", "created": "Thu, 4 Dec 1997 11:28:46 GMT" } ]
2009-01-23T00:00:00
[ [ "Poyatos", "J. F.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9712013
Alan Kostelecky
Alan Kostelecky and Neil Russell
Quantum-Mechanical Supersymmetry in Traps
talk presented at the UIC Workshop on Integrable Models and Supersymmetry, June 1997
null
null
IUHET 369, August 1997
quant-ph
null
We discuss the application of quantum-mechanical supersymmetry to particle traps. The supersymmetric-partner wave functions may be used to describe a valence fermion in a trap system with an isotropic harmonic-oscillator potential. Interactions with the core are incorporated analytically. The close similarity of this approach to the application of supersymmetry in atomic systems is made explicit by means of a radial mapping between the two systems.
[ { "version": "v1", "created": "Thu, 4 Dec 1997 19:46:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Kostelecky", "Alan", "" ], [ "Russell", "Neil", "" ] ]
quant-ph/9712014
null
Y.M. Hakobyan, M. Kibler, G.S. Pogosyan and A.N. Sissakian
On a Generalized Oscillator: Invariance Algebra and Interbasis Expansions
13 pages, Latex file. Submitted for publication to Yadernaya Fizika
Phys.Atom.Nucl.61:1782-1788,1998; Yad.Fiz.61:1893-1899,1998
null
null
quant-ph math-ph math.MP physics.atm-clus physics.atom-ph physics.chem-ph
null
This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian bases for D=2 and the coefficients connecting the Cartesian and cylindrical bases as well as the cylindrical and spherical bases for D=3. These interbasis expansion coefficients are found to be analytic continuations to real values of their arguments of the Clebsch-Gordan coefficients for the group SU(2). For D=2, the superintegrable character for the generalized oscillator system is investigated from the points of view of a quadratic invariance algebra.
[ { "version": "v1", "created": "Fri, 5 Dec 1997 15:28:10 GMT" } ]
2011-04-15T00:00:00
[ [ "Hakobyan", "Y. M.", "" ], [ "Kibler", "M.", "" ], [ "Pogosyan", "G. S.", "" ], [ "Sissakian", "A. N.", "" ] ]
quant-ph/9712015
Kamenev D. I.
V. Ya. Demikhovskii, D. I. Kamenev
Localization of Quantum States at the Cyclotron Resonance
6 pages of Latex, 6 figures
Phys.Lett. A228 (1997) 391-398
10.1016/S0375-9601(97)00131-X
null
quant-ph
null
A new type of localization - localization over the quantum resonance cells - in an intrinsically degenerate system is explored by using the quasienergy eigenstates.
[ { "version": "v1", "created": "Sat, 6 Dec 1997 06:39:55 GMT" } ]
2009-10-30T00:00:00
[ [ "Demikhovskii", "V. Ya.", "" ], [ "Kamenev", "D. I.", "" ] ]
quant-ph/9712016
Yuri I. Ozhigov
Yuri Ozhigov
Protection of information in quantum qatabases
10 pages, Latex
Complex Syst. 11 (1997) 223-232
null
null
quant-ph
null
The conventional protection of information by cryptographical keys makes no sense if a key can be quickly discovered by an unauthorized person. This way of penetration to the protected systems was made possible by a quantum computers in view of results of P.Shor and L.Grover. This work presents the method of protection of an information in a database from a spy even he knows all about its control system and has a quantum computer, whereas a database can not distinguish between operations of spy and legal user.
[ { "version": "v1", "created": "Sun, 7 Dec 1997 23:14:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Ozhigov", "Yuri", "" ] ]
quant-ph/9712017
Sougato Bose
S. Bose, K. Jacobs and P. L. Knight
A Scheme to Probe the Decoherence of a Macroscopic Object
Much expanded version, macroscopic mirror masses, to appear in Phys. Rev. A (tent: May 99)
Phys.Rev.A59:3204,1999
10.1103/PhysRevA.59.3204
null
quant-ph
null
We propose a quantum optical version of Schr\"{o}dinger's famous gedanken experiment in which the state of a microscopic system (a cavity field) becomes entangled with and disentangled from the state of a massive object (a movable mirror). Despite the fact that a mixture of Schr\"{o}dinger cat states is produced during the evolution (due to the fact that the macroscopic mirror starts off in a thermal state), this setup allows us to systematically probe the rules by which a superposition of spatially separated states of a macroscopic object decoheres. The parameter regime required to test environment-induced decoherence models is found to be close to those currently realizable, while that required to detect gravitationally induced collapse is well beyond current technology.
[ { "version": "v1", "created": "Mon, 8 Dec 1997 14:56:38 GMT" }, { "version": "v2", "created": "Sun, 18 Apr 1999 18:13:52 GMT" } ]
2011-08-04T00:00:00
[ [ "Bose", "S.", "" ], [ "Jacobs", "K.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9712018
A. B. Balantekin
A.B. Balantekin
Algebraic Approach to Shape Invariance
Submitted to Physical Review A. Latex file, 9 pages. Manuscript is also available at http://nucth.physics.wisc.edu/preprints/
Phys.Rev. A57 (1998) 4188-4191
10.1103/PhysRevA.57.4188
MAD-NT-97-08, DOE/ER/40561-346-INT97-00-185
quant-ph
null
The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite-dimensional. The conditions under which they become finite-dimensional are explored.
[ { "version": "v1", "created": "Mon, 8 Dec 1997 20:22:02 GMT" } ]
2009-10-30T00:00:00
[ [ "Balantekin", "A. B.", "" ] ]
quant-ph/9712019
Dagmar Bruss
D. Bruss, A. Ekert, C. Macchiavello
Optimal universal quantum cloning and state estimation
4 pages (RevTeX)
Phys.Rev.Lett.81:2598-2601,1998
10.1103/PhysRevLett.81.2598
null
quant-ph
null
We derive a tight upper bound for the fidelity of a universal N to M qubit cloner, valid for any M \geq N, where the output of the cloner is required to be supported on the symmetric subspace. Our proof is based on the concatenation of two cloners and the connection between quantum cloning and quantum state estimation. We generalise the operation of a quantum cloner to mixed and/or entangled input qubits described by a density matrix supported on the symmetric subspace of the constituent qubits. We also extend the validity of optimal state estimation methods to inputs of this kind.
[ { "version": "v1", "created": "Tue, 9 Dec 1997 11:16:03 GMT" }, { "version": "v2", "created": "Fri, 5 Jun 1998 15:43:58 GMT" }, { "version": "v3", "created": "Thu, 8 Oct 1998 09:02:25 GMT" } ]
2009-01-23T00:00:00
[ [ "Bruss", "D.", "" ], [ "Ekert", "A.", "" ], [ "Macchiavello", "C.", "" ] ]
quant-ph/9712020
Yinqi Feng
Yinqi Feng and Allan I. Solomon (Open University)
Optimal Signal-to-Quantum Noise Ratio for Nonclassical Number States
7 Page (LaTeX), 1 figure(Postscript); changed body of paper
Opt.Commun. 152 (1998) 299-301
10.1016/S0030-4018(98)00202-8
OU-APP-970101
quant-ph physics.optics
null
We analyze the properties of nonclassical number states, specifically squeezed number states D(a)S(z)|n >, and find their maximum signal-to-quantum noise ratio. It is shown that the optimal signal-to-quantum noise ratio for these states decreases as 1/(2n+1)2, where n is the photon number, from the optimal value as derived by Yuen.
[ { "version": "v1", "created": "Tue, 9 Dec 1997 17:02:14 GMT" }, { "version": "v2", "created": "Wed, 10 Dec 1997 15:38:21 GMT" } ]
2009-10-30T00:00:00
[ [ "Feng", "Yinqi", "", "Open University" ], [ "Solomon", "Allan I.", "", "Open University" ] ]
quant-ph/9712021
Martin Plenio
S. Bose, P.L. Knight, M. Murao, M.B. Plenio and V. Vedral (Optics Section, The Blackett Laboratory, Imperial College, London, UK)
Implementations of Quantum Logic: Fundamental and Experimental Limits
16 pages, for the proceedings of the Royal Society meeting on quantum computation
Phil.Trans.Roy.Soc.Lond. A356 (1998) 1823
10.1098/rsta.1998.0251
null
quant-ph
null
Quantum information processing rests on our ability to manipulate quantum superpositions through coherent unitary transformations. In reality the quantum information processor (a linear ion trap, or cavity qed implementation for example) exists in a dissipative environment. Dephasing, and other technical sources of noise, as well as more fundamental sources of dissipation severely restrict quantum processing capabilities. The strength of the coherent coupling needed to implement quantum logic is not always independent of dissipation. The limitations these dissipative influences present will be described and the need for efficient error correction noted. Even if long and involved quantum computations turn out to be hard to realize, one can perform interesting manipulations of entanglement involving only a few gates and qubits, of which we give examples. Quantum communication also involves manipulations of entanglement which are simpler to implement than elaborate computations. We briefly analyse the notion of the capacity of a quantum communication channel.
[ { "version": "v1", "created": "Wed, 10 Dec 1997 17:43:01 GMT" } ]
2009-10-30T00:00:00
[ [ "Bose", "S.", "", "Optics\n Section, The Blackett Laboratory, Imperial College, London, UK" ], [ "Knight", "P. L.", "", "Optics\n Section, The Blackett Laboratory, Imperial College, London, UK" ], [ "Murao", "M.", "", "Optics\n Section, The Blackett Laboratory, Imperial College, London, UK" ], [ "Plenio", "M. B.", "", "Optics\n Section, The Blackett Laboratory, Imperial College, London, UK" ], [ "Vedral", "V.", "", "Optics\n Section, The Blackett Laboratory, Imperial College, London, UK" ] ]
quant-ph/9712022
Ashot S. Gevorkyan
Alexander V. Bogdanov and Ashot S. Gevorkyan
Three Body Multichannel Scattering as a Model of Irreversible Quantum Mechanics
4 pages, LaTeX, uses nolta.sty, accepted for presentation in the NOLTA'97
null
null
null
quant-ph
null
The new formulation of the theory of multichannel scattering on the example of collinear model is proposed. It is shown, that in the closed three-body scattering system the principle of quantum determinism in general case breaks down and we have a micro- irreversible quantum mechanics.
[ { "version": "v1", "created": "Wed, 10 Dec 1997 19:36:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Bogdanov", "Alexander V.", "" ], [ "Gevorkyan", "Ashot S.", "" ] ]
quant-ph/9712023
Dominic Mayers
Gilles Brassard, Claude Cr\'epeau, Dominic Mayers, Louis Salvail
A brief review on the impossibility of quantum bit commitment
11 pages
null
null
null
quant-ph
null
The desire to obtain an unconditionally secure bit commitment protocol in quantum cryptography was expressed for the first time thirteen years ago. Bit commitment is sufficient in quantum cryptography to realize a variety of applications with unconditional security. In 1993, a quantum bit commitment protocol was proposed together with a security proof. However, a basic flaw in the protocol was discovered by Mayers in 1995 and subsequently by Lo and Chau. Later the result was generalized by Mayers who showed that unconditionally secure bit commitment is impossible. A brief review on quantum bit commitment which focuses on the general impossibility theorem and on recent attempts to bypass this result is provided.
[ { "version": "v1", "created": "Wed, 10 Dec 1997 20:16:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Brassard", "Gilles", "" ], [ "Crépeau", "Claude", "" ], [ "Mayers", "Dominic", "" ], [ "Salvail", "Louis", "" ] ]
quant-ph/9712024
Ralf F. Salzgeber
R. F. Salzgeber, V. Mandelshtam, Ch. Schlier and H. S. Taylor
All bound states of NO_2 (J=0)
18 pages of LaTeX including 4 figures. A Postscript of HTML version of this paper can be obtained via: http://phya3.physik.uni-freiburg.de/~rfs/rfs.html This paper was submitted to Journ. Chem. Phys
null
null
null
quant-ph
null
We calculated all 2967 even and odd bound states of the adiabatic ground state of NO_2, using a modification of the ab initio potential energy surface of Leonardi et al. [J. Chem. Phys. 105, 9051 (1996)]. The calculation was performed by harmonic inversion of the Chebyshev correlation function generated by a DVR Hamiltonian in Radau coordinates. The relative error for the computed eigenenergies is $10^{-4}$ or better. Near the dissociation threshold the density of states is about 0.3cm$^{-1}$. Statistical analysis of the states shows some interesting structure of the rigidity parameter $\Delta_3$ as a function of energy.
[ { "version": "v1", "created": "Thu, 11 Dec 1997 12:36:44 GMT" }, { "version": "v2", "created": "Fri, 12 Dec 1997 08:01:02 GMT" }, { "version": "v3", "created": "Fri, 6 Feb 1998 15:05:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Salzgeber", "R. F.", "" ], [ "Mandelshtam", "V.", "" ], [ "Schlier", "Ch.", "" ], [ "Taylor", "H. S.", "" ] ]
quant-ph/9712025
Paul Cockhott
Paul Cockshott
Quantum Relational Databases
7 pages 3 figures
null
null
null
quant-ph
null
The approach given by Grover can be generalised to set an upper complexity limit to the basic operations of relational algebra on a quantum computer. Except in special cases where indices can be used on a classical machine, the quantum upper complexity limit is lower than the classical one.
[ { "version": "v1", "created": "Thu, 11 Dec 1997 13:06:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Cockshott", "Paul", "" ] ]
quant-ph/9712026
Abdullah
A. Ver\c{c}in
Ordered Products, $W_{\infty}$-Algebra, and Two-Variable, Definite-Parity, Orthogonal Polynomials
17 pages,no figure. to appear in J. Math.Phys
J.Math.Phys. 39 (1998) 2418-2427
10.1063/1.532295
null
quant-ph
null
It has been shown that the Cartan subalgebra of $W_{\infty}$- algebra is the space of the two-variable, definite-parity polynomials. Explicit expressions of these polynomials, and their basic properties are presented. Also has been shown that they carry the infinite dimensional irreducible representation of the $su(1,1)$ algebra having the spectrum bounded from below. A realization of this algebra in terms of difference operators is also obtained. For particular values of the ordering parameter $s$ they are identified with the classical orthogonal polynomials of a discrete variable, such as the Meixner, Meixner-Pollaczek, and Askey-Wilson polynomials. With respect to variable $s$ they satisfy a second order eigenvalue equation of hypergeometric type. Exact scattering states with zero energy for a family of potentials are expressed in terms of these polynomials. It has been put forward that it is the \.{I}n\"{o}n\"{u}-Wigner contraction and its inverse that form bridge between the difference and differential calculus.
[ { "version": "v1", "created": "Thu, 11 Dec 1997 14:10:53 GMT" } ]
2009-10-30T00:00:00
[ [ "Verçin", "A.", "" ] ]
quant-ph/9712027
Hans Juergen Briegel
H.-J. Briegel, W. D\"ur, S. J. van Enk, J. I. Cirac and P. Zoller
Quantum communication and the creation of maximally entangled pairs of atoms over a noisy channel
12 pages, latex, rspublic.sty, 4 figures, uses epsf macro. For the Royal Society meeting on quantum computation
null
null
HJB-97-01
quant-ph
null
We show how to create maximally entangled EPR pairs between spatially distant atoms, each of them inside a high-Q optical cavity, by sending photons through a general, noisy channel, such as a standard optical fiber. An error correction scheme that uses few auxiliary atoms in each cavity effectively eliminates photoabsorption and other transmission errors. This realizes the `absorption free channel.' A concatenation protocol using the absorption free channel allows for quantum communication with single qubits over distances much larger than the coherence length of the channel.
[ { "version": "v1", "created": "Thu, 11 Dec 1997 19:15:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Briegel", "H. -J.", "" ], [ "Dür", "W.", "" ], [ "van Enk", "S. J.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9712028
Grosa
V. V. Dodonov, V. I. Man'ko, and L. Rosa
Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential
19 pages, LaTeX, 5 eps-figures, to appear on Phys. Rev. A, one reference corrected
Phys.Rev. A57 (1998) 2851
10.1103/PhysRevA.57.2851
Napoli Preprint DSF-48/97
quant-ph
null
Following the paper by M. Combescure [Ann. Phys. (NY) 204, 113 (1990)], we apply the quantum singular time dependent oscillator model to describe the relative one dimensional motion of two ions in a trap. We argue that the model can be justified for low energy excited states with the quantum numbers $n\ll n_{max}\sim 100$, provided that the dimensionless constant characterizing the strength of the repulsive potential is large enough, $g_*\sim 10^5$. Time dependent Gaussian-like wave packets generalizing odd coherent states of the harmonic oscillator, and excitation number eigenstates are constructed. We show that the relative motion of the ions, in contradistinction to its center of mass counterpart, is extremely sensitive to the time dependence of the binding harmonic potential, since the large value of $g_*$ results in a significant amplification of the transition probabilities between energy eigenstate even for slow time variations of the frequency.
[ { "version": "v1", "created": "Fri, 12 Dec 1997 18:48:28 GMT" }, { "version": "v2", "created": "Tue, 16 Dec 1997 12:21:34 GMT" } ]
2009-10-30T00:00:00
[ [ "Dodonov", "V. V.", "" ], [ "Man'ko", "V. I.", "" ], [ "Rosa", "L.", "" ] ]
quant-ph/9712029
Chau Hoi Fung
H. F. Chau
Quantum Convolutional Error Correcting Codes
Minor revisions and clarifications. To appear in Phys. Rev. A
null
10.1103/PhysRevA.58.905
null
quant-ph
null
I report two general methods to construct quantum convolutional codes for $N$-state quantum systems. Using these general methods, I construct a quantum convolutional code of rate 1/4, which can correct one quantum error for every eight consecutive quantum registers.
[ { "version": "v1", "created": "Sat, 13 Dec 1997 07:32:54 GMT" }, { "version": "v2", "created": "Sun, 21 Dec 1997 14:06:55 GMT" }, { "version": "v3", "created": "Sun, 28 Dec 1997 08:57:23 GMT" }, { "version": "v4", "created": "Mon, 18 May 1998 09:42:05 GMT" } ]
2009-10-30T00:00:00
[ [ "Chau", "H. F.", "" ] ]
quant-ph/9712030
Dr. Luca Salasnich, . D.
Luca Salasnich
The Role of dimensionality in the stability of a confined Bose gas
10 pages, Latex, no figures, to be published in Mod. Phys. Lett. B
null
10.1142/S0217984997001493
null
quant-ph
null
We study analytically the ground-state stability of a Bose-Einstein condensate (BEC) confined in an harmonic trap with repulsive or attractive zero-range interaction by minimizing the energy functional of the system. In the case of repulsive interaction the BEC mean radius grows by increasing the number of bosons, instead in the case of attractive interaction the BEC mean radius decreases by increasing the number of bosons: to zero if the system is one-dimensional and to a minimum radius, with a maximum number of bosons, if the system is three-dimensional.
[ { "version": "v1", "created": "Sat, 13 Dec 1997 22:58:19 GMT" } ]
2015-06-26T00:00:00
[ [ "Salasnich", "Luca", "" ] ]
quant-ph/9712031
Ashot S. Gevorkyan
Alexander V. Bogdanov and Ashot S. Gevorkyan
Random motion of quantum reactive harmonic oscillator. Thermodynamics of Vacuum of Asymptotic Subspace
LaTeX, 19 pages, 5 figures, title changed
IHPCDB-3(97)
null
null
quant-ph
null
The system of oscillator interacting with vacuum is considered as a problem of random motion of quantum reactive harmonic oscillator (QRHO). It is formulated in terms of a wave functional regarded as complex probability process in the extended space. This wave functional obeys some stochastic differential equation (SDE). Based on the nonlinear Langevin type SDE of second order, introduced in the functional space R{W(t)}, the variables in original equation are separated. The general measure in the space R{W(t)} of the Fokker-Plank type is obtained and expression for total wave function (wave mixture) of random QRHO is constructed as functional expansion over the stochastic basis set. The pertinent transition matrix S_br is constructed. For Wiener type measure W(t) of functional space the exact representation for ''vacuum-vacuum'' transition probability is obtained. The thermodynamics of vacuum is described in detail for the asymptotic space R1_as. The exact values for Energy, shift and expansion of ground state of oscillator and its Entropy are calculated.
[ { "version": "v1", "created": "Sun, 14 Dec 1997 14:37:55 GMT" }, { "version": "v2", "created": "Tue, 16 Dec 1997 11:48:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Bogdanov", "Alexander V.", "" ], [ "Gevorkyan", "Ashot S.", "" ] ]
quant-ph/9712032
Marcia T. Fontenelle
Marcia T. Fontenelle, Samuel L. Braunstein, Wolfgang P. Schleich, and Mark Hillery
Direct and indirect strategies for phase measurement
RevTeX + 3 postscript figures, 11 pages, submitted to Physical Review A
null
null
null
quant-ph
null
Recently, Torgerson and Mandel [Phys. Rev. Lett. 76, 3939 (1996)] have reported a disagreement between two schemes for measuring the phase difference of a pair of optical fields. We analyze these schemes and derive their associated phase-difference probability distributions, including both their strong and weak field limits. Our calculation confirms the main point of Torgerson and Mandel of the non-uniqueness of an operational definition of the phase distribution. We further discuss the role of postselection of data and argue that it cannot meaningfully improve the sensitivity.
[ { "version": "v1", "created": "Tue, 16 Dec 1997 12:46:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Fontenelle", "Marcia T.", "" ], [ "Braunstein", "Samuel L.", "" ], [ "Schleich", "Wolfgang P.", "" ], [ "Hillery", "Mark", "" ] ]
quant-ph/9712033
Wojciech Burkot
Wojciech Burkot
Reversible Mapping for Tree Structured Quantum Computation
Typeset using Revtex, 8 pages including 2 fullpage PostScript figures, submitted to Phys.Rev.Lett
null
null
KA-97/81
quant-ph
null
A hierarchical, reversible mapping between levels of tree structured computation, applicable for structuring the Quantum Computation algorithm for NP-complete problem is presented. It is proven that confining the state of a quantum computer to a subspace of the available Hilbert space, where states are consistent with the problem constraints, can be done in polynomial time. The proposed mapping, together with the method of state reduction can be potentially used for solving NP-complete problems in polynomial time.
[ { "version": "v1", "created": "Wed, 17 Dec 1997 12:26:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Burkot", "Wojciech", "" ] ]
quant-ph/9712034
Armen Allahverdyan
A.E. Allahverdyan, D.B. Saakian
Multi-access channels in quantum information theory
LaTex file, 12 pages
null
null
null
quant-ph
null
The multi-access channels in quantum information theory are considered. Classical messages from independent sources, which are represented as some quantum states, are transported by a channel to one address. The messages can interact with each other and with external environment. After statement of problem and proving some general results we investigate physically important case when information is transported by states of electromagnetic field. One-way communication by noisy quantum channels is also considered.
[ { "version": "v1", "created": "Wed, 17 Dec 1997 12:18:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Allahverdyan", "A. E.", "" ], [ "Saakian", "D. B.", "" ] ]
quant-ph/9712035
Michal Horodecki
Michal Horodecki
Limits for compression of quantum information carried by ensembles of mixed states
RevTeX, 8 pages
Phys.Rev. A57 (1998) 3364-3369
10.1103/PhysRevA.57.3364
null
quant-ph
null
We consider the problem of compression of the quantum information carried by ensemble of mixed states. We prove that for arbitrary coding schemes the least number of qubits needed to convey the signal states asymptotically faithfully is bounded from below by the Holevo function $S(\varrho)-\sum_ip_iS(\varrho_i)$. We also show that a compression protocol can be composed with another one, provided that the latter offers perfect transmission. Such a compound protocol is applied to the case of binary source. It is conjectured to reach the obtained bound. Finally, we point out that in the case of mixed signal states there could be a difference between the maximal compression rates at the coding schemes which are ``blind'' to the signal and the ones which assume the knowledge about the identities of the signal states.
[ { "version": "v1", "created": "Wed, 17 Dec 1997 12:30:31 GMT" } ]
2009-10-30T00:00:00
[ [ "Horodecki", "Michal", "" ] ]
quant-ph/9712036
Henry Stapp
Henry P. Stapp
Nonlocality and Bohr's Reply to EPR
This paper was composed in accordance with guidelines from Amer. J. Physics as a reply to a paper (quant-ph/9712003) with the same title by N. David Mermin
null
null
LBNL 41139
quant-ph
null
David Mermin's recent paper with the same title as this one makes it clear that his claim to have found a gap in my reasoning rests on his claim that my argument violates a criterion for meaningfulness of counterfactual statements that I myself had set down. I set down no such requirement. But I am willing to accept it as a conservative sufficient condition. This already entails, within my proof, that nature must have a deep structure that extends beyond what actually occurs. It imposes, without appeal to the notion of determinism or hidden variables, constraints connecting, at the macroscopic level, what did occur to what would have occurred if certain quantum choices had gone differently. All the statements in the proof have natural meanings within the context of an examination of that deep structure.
[ { "version": "v1", "created": "Wed, 17 Dec 1997 18:55:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Stapp", "Henry P.", "" ] ]
quant-ph/9712037
Andrew Gray
Andrew Gray
A Solution to the Quantum Measurement Problem
21 pages, 7 figures The theory in this version is the same as in the original, however presentation has been improved, additional points discussed, and minor errors corrected
null
null
null
quant-ph
null
A new formulation of quantum mechanics is developed which does not require the concept of the wave-particle duality. Rather than assigning probabilities to outcomes, probabilities are instead assigned to entire fine-grained histories. The formulation is fully relativistic and applicable to multi-particle systems. It shall be shown that this new formulation makes the same experimental predictions as quantum field theory, but without having to rely upon the notion of a system evolving in a superposition of quantum states until collapsed by an observation. It is thus free from the problem of deciding what exactly constitutes an observation (the measurement problem) and may therefore be applied just as readily to the macroscopic world as to the microscopic.
[ { "version": "v1", "created": "Thu, 18 Dec 1997 00:16:30 GMT" }, { "version": "v2", "created": "Sun, 8 Aug 2004 18:06:39 GMT" } ]
2009-09-25T00:00:00
[ [ "Gray", "Andrew", "" ] ]
quant-ph/9712038
Paul Patuleanu
A. Bohm, H. Kaldass, P. Patuleanu
Hilbert Space or Gelfand Triplet - Time Symmetric or Time Asymmetric Quantum Mechanics
28 pages; to be published in Int. J. Theor. Phys
Int.J.Theor.Phys. 38 (1999) 115-130
null
null
quant-ph
null
Intrinsic microphysical irreversibility is the time asymmetry observed in exponentially decaying states. It is described by the semigroup generated by the Hamiltonian $\QTR{it}{H}$ of the quantum physical system, not by the semigroup generated by a Liouvillian $\QTR{it}{L}$ which describes the irreversibility due to the influence of an external reservoir or measurement apparatus. The semigroup time evolution generated by $\QTR{it}{H}$ is impossible in the Hilbert Space (HS) theory, which allows only time symmetric boundary conditions and an unitary group time evolution. This leads to problems with decay probabilities in the HS theory. To overcome these and other problems (non-existence of Dirac kets) caused by the Lebesgue integrals of the HS, one extends the HS to a Gel'fand triplet, which contains not only Dirac kets, but also generalized eigenvectors of the self-adjoint $\QTR{it}{H}$ with complex eigenvalues ($E_R-i\Gamma /2$) and a Breit-Wigner energy distribution. These Gamow states $\psi ^G$ have a time asymmetric exponential evolution. One can derive the decay probability of the Gamow state into the decay products described by $\Lambda $ from the basic formula of quantum mechanics $\QTR{cal}{P}(t)=Tr(|\psi ^G> < \psi ^G|\Lambda)$, which in HS quantum mechanics is identically zero. From this result one derives the decay rate $\QTR{group}{\dot c}(t)$ and all the standard relations between $\QTR{group}{\dot c}(0)$, $\Gamma $ and the lifetime $\tau_R$ used in the phenomenology of resonance scattering and decay. In the Born approximation one obtains Dirac's Golden Rule.
[ { "version": "v1", "created": "Thu, 18 Dec 1997 00:22:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Bohm", "A.", "" ], [ "Kaldass", "H.", "" ], [ "Patuleanu", "P.", "" ] ]
quant-ph/9712039
Jezykmil
Stefan Giller and Piotr Milczarski (Theoretical Physics Department II, University of Lodz, Poland)
Change of Variable as Borel Resummation of Semiclassical Series
7 pages, uses article.sty art11.sty, 1 EPS figure
J.Phys.A32:955-976,1999
10.1088/0305-4470/32/6/009
null
quant-ph
null
It is shown that a change of variable in 1-dim Schroedinger equation applied to the Borel summable fundamental solutions [Giller] is equivalent to Borel resummation of the fundamental solutions multiplied by suitably chosen $\hbar$-dependent constant. This explains why change of variable can improve JWKB formulae [Giller, Milczarski]. It is shown also that a change of variable alone cannot provide us with the exact JWKB formulae.
[ { "version": "v1", "created": "Thu, 18 Dec 1997 15:39:43 GMT" }, { "version": "v2", "created": "Tue, 14 Jul 1998 13:28:21 GMT" } ]
2008-11-26T00:00:00
[ [ "Giller", "Stefan", "", "Theoretical Physics Department II,\n University of Lodz, Poland" ], [ "Milczarski", "Piotr", "", "Theoretical Physics Department II,\n University of Lodz, Poland" ] ]
quant-ph/9712040
Markus Grassl
Markus Grassl, Martin Roetteler, and Thomas Beth (Universitaet Karlsruhe)
Computing Local Invariants of Qubit Systems
8 pages, RevTeX, submitted to PRA; example added to demonstrate the application of the invariants
Phys.Rev.A58:1833-1839,1998
10.1103/PhysRevA.58.1833
null
quant-ph cs.ET
null
We investigate means to describe the non-local properties of quantum systems and to test if two quantum systems are locally equivalent. For this we consider quantum systems that consist of several subsystems, especially multiple qubits. We compute invariant polynomials, i. e., polynomial functions of the entries of the density operator which are invariant under local unitary operations. As an example, we consider a system of two qubits. We compute the Molien series for the corresponding representation which gives information about the number of linearly independent invariants. Furthermore, we present a set of polynomials which generate all invariants (at least) up to degree 23. Finally, the use of invariants to check whether two density operators are locally equivalent is demonstrated.
[ { "version": "v1", "created": "Thu, 18 Dec 1997 16:09:09 GMT" }, { "version": "v2", "created": "Fri, 29 May 1998 13:00:10 GMT" } ]
2023-11-27T00:00:00
[ [ "Grassl", "Markus", "", "Universitaet\n Karlsruhe" ], [ "Roetteler", "Martin", "", "Universitaet\n Karlsruhe" ], [ "Beth", "Thomas", "", "Universitaet\n Karlsruhe" ] ]
quant-ph/9712041
Jezykmil
Mariusz Dudek, Stefan Giller and Piotr Milczarski (Theoretical Physics Department II, University of Lodz, Poland)
Rectangular Well as Perturbation
19 pages, 5 Postscript figures, uses psfig.sty
J.Math.Phys. 40 (1999) 1163-1179
10.1063/1.532794
null
quant-ph
null
We discuss a finite rectangular well as a perturbation for the infinite one with a depth $\lambda^2$ of the former as a perturbation parameter. In particular we consider a behaviour of energy levels in the well as functions of complex $\lambda$. It is found that all the levels of the same parity are defined on infinitely sheeted Riemann surfaces which topological structures are described in details. These structures differ considerably from those found in models investigated earlier. It is shown that perturbation series for all the levels converge what is in contrast with the known results of Bender and Wu. The last property is shown to hold also for the finite rectangular well with Dirac delta barier as a perturbation considered earlier by Ushveridze.
[ { "version": "v1", "created": "Thu, 18 Dec 1997 16:21:28 GMT" } ]
2009-10-30T00:00:00
[ [ "Dudek", "Mariusz", "", "Theoretical Physics\n Department II, University of Lodz, Poland" ], [ "Giller", "Stefan", "", "Theoretical Physics\n Department II, University of Lodz, Poland" ], [ "Milczarski", "Piotr", "", "Theoretical Physics\n Department II, University of Lodz, Poland" ] ]
quant-ph/9712042
Christopher A. Fuchs
Christopher A. Fuchs and Jeroen van de Graaf
Cryptographic Distinguishability Measures for Quantum Mechanical States
28 pages, 3 figures, minor typographical changes, submitted to IEEE Transactions on Information Theory
null
null
null
quant-ph
null
This paper, mostly expository in nature, surveys four measures of distinguishability for quantum-mechanical states. This is done from the point of view of the cryptographer with a particular eye on applications in quantum cryptography. Each of the measures considered is rooted in an analogous classical measure of distinguishability for probability distributions: namely, the probability of an identification error, the Kolmogorov distance, the Bhattacharyya coefficient, and the Shannon distinguishability (as defined through mutual information). These measures have a long history of use in statistical pattern recognition and classical cryptography. We obtain several inequalities that relate the quantum distinguishability measures to each other, one of which may be crucial for proving the security of quantum cryptographic key distribution. In another vein, these measures and their connecting inequalities are used to define a single notion of cryptographic exponential indistinguishability for two families of quantum states. This is a tool that may prove useful in the analysis of various quantum cryptographic protocols.
[ { "version": "v1", "created": "Thu, 18 Dec 1997 22:32:29 GMT" }, { "version": "v2", "created": "Fri, 3 Apr 1998 17:31:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Fuchs", "Christopher A.", "" ], [ "van de Graaf", "Jeroen", "" ] ]
quant-ph/9712043
Henry Stapp
Henry P. Stapp
Reply to Unruh
3 pages Subject: Bohr-EPR
null
null
LBNL
quant-ph
null
William Unruh has suggested (quant-ph/9710032) that a certain counterfactual statement in my recent nonlocality proof should be re-interpreted in a way that would block the proof. I give reason's why that statement should not be re-interpreted.
[ { "version": "v1", "created": "Fri, 19 Dec 1997 00:44:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Stapp", "Henry P.", "" ] ]
quant-ph/9712044
Asher Peres
Ori Hay and Asher Peres
Quantum and classical descriptions of a measuring apparatus
18 pages LaTeX (including one encapsulated PostScript figure)
Phys.Rev. A58 (1998) 116
10.1103/PhysRevA.58.116
null
quant-ph
null
A measuring apparatus is described by quantum mechanics while it interacts with the quantum system under observation, and then it must be given a classical description so that the result of the measurement appears as objective reality. Alternatively, the apparatus may always be treated by quantum mechanics, and be measured by a second apparatus which has such a dual description. This article examines whether these two different descriptions are mutually consistent. It is shown that if the dynamical variable used in the first apparatus is represented by an operator of the Weyl-Wigner type (for example, if it is a linear coordinate), then the conversion from quantum to classical terminology does not affect the final result. However, if the first apparatus encodes the measurement in a different type of operator (e.g., the phase operator), the two methods of calculation may give different results.
[ { "version": "v1", "created": "Fri, 19 Dec 1997 08:35:19 GMT" } ]
2009-10-30T00:00:00
[ [ "Hay", "Ori", "" ], [ "Peres", "Asher", "" ] ]
quant-ph/9712045
Martin Plenio
M. Murao(1), M.B. Plenio(1), S. Popescu(2,3), V. Vedral(1) and P.L. Knight(1) ((1) Optics Section, Blackett Laboratory, Imperial College, London, UK (2) Isaac Newton Institute for Mathematical Sciences, Cambridge, UK (3) BRIMS, Hewlett-Packard Laboratories, Stoke Gifford, Bristol, UK)
Multi-Particle Entanglement Purification Protocols
5 pages, 2 figures and 1 table
Phys.Rev. A57 (1998) 4075
10.1103/PhysRevA.57.R4075
null
quant-ph
null
Purification schemes for multi-particle entangled states cannot be treated as straightforward extensions of those for two particles because of the lack of symmetry they possess. We propose purification protocols for a wide range of mixed entangled states of many particles. These are useful for understanding entanglement, and will be of practical significance in multi-user cryptographic schemes or distributed quantum computation and communication. We show that operating locally on multi-particle entangled states directly is more efficient than relying on two-particle purification.
[ { "version": "v1", "created": "Fri, 19 Dec 1997 10:31:08 GMT" } ]
2009-10-30T00:00:00
[ [ "Murao", "M.", "" ], [ "Plenio", "M. B.", "" ], [ "Popescu", "S.", "" ], [ "Vedral", "V.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9712046
Brosens
F. Brosens, J. T. Devreese, L. F. Lemmens
Note on the stability of a confined Bose gas: Comment on quant-ph/9712030 by L. Salasnich
2 pages, Revtex, no figures
null
null
null
quant-ph
null
We demonstrate analytically that a Bose-Einstein condensate confined in a harmonic trap with zero-range attractive interparticle interactions is unstable if there is more than 1 boson. Replacing the zero-range interaction by a short-range attractive interaction lifts the instability, and leads to a pronounced clustering, by which the particles leak out of the condensate.
[ { "version": "v1", "created": "Fri, 19 Dec 1997 15:04:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Brosens", "F.", "" ], [ "Devreese", "J. T.", "" ], [ "Lemmens", "L. F.", "" ] ]
quant-ph/9712047
Tristan Hubsch
Tristan H\"ubsch
Quantum Mechanics is Either Non-Linear Or Non-Introspective
8 pages, plain TeX + harvmac.tex + included macros
Mod.Phys.Lett. A13 (1998) 2503-2512
10.1142/S0217732398002667
null
quant-ph
null
The measurement conundrum seems to have plagued quantum mechanics for so long that impressions of an inconsistency amongst its axioms have spawned. A demonstration that such purported inconsistency is fictitious may then be in order and is presented here. An exclusion principle of sorts emerges, stating that quantum mechanics cannot be simultaneously linear and introspective (self-observing).
[ { "version": "v1", "created": "Fri, 19 Dec 1997 21:38:48 GMT" } ]
2016-09-08T00:00:00
[ [ "Hübsch", "Tristan", "" ] ]
quant-ph/9712048
John Preskill
John Preskill
Fault-tolerant quantum computation
58 pages with 7 PostScript figures, LaTeX, uses sprocl.sty and psfig, to appear in "Introduction to Quantum Computation," edited by H.-K. Lo, S. Popescu, and T. P. Spiller
null
null
CALT-68-2150, QUIC-97-034
quant-ph
null
The discovery of quantum error correction has greatly improved the long-term prospects for quantum computing technology. Encoded quantum information can be protected from errors that arise due to uncontrolled interactions with the environment, or due to imperfect implementations of quantum logical operations. Recovery from errors can work effectively even if occasional mistakes occur during the recovery procedure. Furthermore, encoded quantum information can be processed without serious propagation of errors. In principle, an arbitrarily long quantum computation can be performed reliably, provided that the average probability of error per gate is less than a certain critical value, the accuracy threshold. It may be possible to incorporate intrinsic fault tolerance into the design of quantum computing hardware, perhaps by invoking topological Aharonov-Bohm interactions to process quantum information.
[ { "version": "v1", "created": "Fri, 19 Dec 1997 22:58:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Preskill", "John", "" ] ]
quant-ph/9712049
Antoine Suarez
Antoine Suarez (Center for Quantum Philosophy, Zurich)
Relativistic Nonlocality in experiments with successive impacts
5 pages Latex, 1 eps figure. The argument in version 2 against the possibility of 2 non-before events in the proposed experiment does not hold: the original version with minor changes is restored
null
null
null
quant-ph
null
Relativistic Nonlocality is applied to experiments in which one of the photons impacts successively at two beam-splitters. It is discussed whether a time series with 2 non-before impacts can be produced with beam-splitters at rest, and such an experiment may allow us to decide between Quantum Mechanics (QM) and Relativistic Nonlocality (RNL).
[ { "version": "v1", "created": "Sat, 20 Dec 1997 20:58:55 GMT" }, { "version": "v2", "created": "Mon, 12 Jan 1998 17:22:22 GMT" }, { "version": "v3", "created": "Wed, 14 Jan 1998 17:38:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Suarez", "Antoine", "", "Center for Quantum Philosophy, Zurich" ] ]
quant-ph/9712050
Trevor Marshall
Trevor W. Marshall (Mathematics Dept., Manchester Univ., U. K.)
The zeropoint field - no longer a ghost
See also http://www.keyinnov.demon.co.uk
null
null
MUM-97-16
quant-ph
null
We develop a local realist analysis of parametric down conversion, based on the recognition that the pump field, instead of down converting spontaneously, does so through its nonlinear coupling with a real zeropoint, or "vacuum" electromagnetic field. The theory leads tothe prediction of a new phenomenon - that, in addition to the main down-conversion rainbow, there is a satellite rainbow, whose intensity is about 3 per cent of the main one. Confirmation of this prediction will call seriously into question the current description of the light field in terms of photons. The present article extends the analysis of its predecessors (this archive, numbers 9711029 and 9712001) to take account of the pump's polarization>
[ { "version": "v1", "created": "Sun, 21 Dec 1997 18:01:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Marshall", "Trevor W.", "", "Mathematics Dept., Manchester Univ., U. K." ] ]
quant-ph/9712051
Yuri I. Ozhigov
Yuri Ozhigov
Quantum Computer Can Not Speed Up Iterated Applications of a Black Box
8 pages, Latex
null
null
null
quant-ph
null
Let a classical algorithm be determined by sequential applications of a black box performing one step of this algorithm. If we consider this black box as an oracle which gives a value F(a) for any query a, we can compute T sequential applications of F on a classical computer relative to this oracle in time T. It is proved that if T=O(2^{n/7}), where n is the length of input, then the result of T sequential applications of F can not be computed on quantum computer with oracle for F for all possible F faster than in time \Omega (T). This means that there is no general method of quantum speeding up of classical algorithms provided in such a general method a classical algorithm is regarded as iterated applications of a given black box. For an arbitrary time complexity T a lower bound for the time of quantum simulation was found to be \Omega (T^{1/2}).
[ { "version": "v1", "created": "Mon, 22 Dec 1997 14:49:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Ozhigov", "Yuri", "" ] ]
quant-ph/9712052
David Meyer
David A. Meyer
Quantum mechanics of lattice gas automata. II. Boundary conditions and other inhomogeneities
24 pages, plain TeX, 9 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages), 3 additional large figures available upon request or from http://math.ucsd.edu/~dmeyer/papers/papers.html
J.Phys.A31:2321-2340,1998
10.1088/0305-4470/31/10/009
null
quant-ph
null
We continue our analysis of the physics of quantum lattice gas automata (QLGA). Previous work has been restricted to periodic or infinite lattices; simulation of more realistic physical situations requires finite sizes and non-periodic boundary conditions. Furthermore, envisioning a QLGA as a nanoscale computer architecture motivates consideration of inhomogeneities in the `substrate'; this translates into inhomogeneities in the local evolution rules. Concentrating on the one particle sector of the model, we determine the various boundary conditions and rule inhomogeneities which are consistent with unitary global evolution. We analyze the reflection of plane waves from boundaries, simulate wave packet refraction across inhomogeneities, and conclude by discussing the extension of these results to multiple particles.
[ { "version": "v1", "created": "Tue, 23 Dec 1997 07:16:09 GMT" } ]
2008-11-26T00:00:00
[ [ "Meyer", "David A.", "" ] ]
quant-ph/9712053
Castagnoli Giuseppe
Giuseppe Castagnoli, Dalida Monti
A diakoptic approach to quantum computation
Short version of quant-ph/9711045 20 Nov 1997 "A reductionistic approach to quantum computation", hopefully clarified, after various comments (see acknowledgements). One (changed) figure
null
null
null
quant-ph
null
In the diakoptic approach, mechanisms are divided into simpler parts interconnected in some standard way (say by a "mechanical connection''). We explore the possibility of applying this approach to quantum mechanisms: the specialties of the quantum domain seem to yield a richer result. First parts are made independent of each other by assuming that connections are removed. The overall state would thus become a superposition of tensor products of the eigenstates of the independent parts. Connections are restored by projecting off all the tensor products which violate them. This would be performed by particle statistics, under a special interpretation thereof. The NP-complete problem of testing the satisfiability of a Boolean network is approached in this way. The diakoptic approach appears to be able of taming the quantum whole without clipping its richness.
[ { "version": "v1", "created": "Tue, 23 Dec 1997 16:54:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Castagnoli", "Giuseppe", "" ], [ "Monti", "Dalida", "" ] ]
quant-ph/9712054
Richard J. Hughes
Richard J. Hughes
Cryptography, Quantum Computation and Trapped Ions
17 pages. Submitted to "Philosophical Transactions of the Royal Society," proceedings of the Royal Society Discussion Meeting on "Quantum Computation: Theory and Experiment," London, England, November 1997
Phil.Trans.Roy.Soc.Lond.A365:1853-1868,1998
10.1002/(SICI)1521-3978(199811)46:6/8<759::AID-PROP759>3.0.CO;2-E
LA-UR-97-4986
quant-ph
null
The significance of quantum computation for cryptography is discussed. Following a brief survey of the requirements for quantum computational hardware, an overview of the ion trap quantum computation project at Los Alamos is presented. The physical limitations to quantum computation with trapped ions are analyzed and an assessment of the computational potential of the technology is made.
[ { "version": "v1", "created": "Tue, 23 Dec 1997 19:24:04 GMT" } ]
2015-06-26T00:00:00
[ [ "Hughes", "Richard J.", "" ] ]
quant-ph/9712055
Adan Cabello Quintero
Adan Cabello
Ladder proof of nonlocality without inequalities and without probabilities
26 pages, 5 figures. Minor changes. To appear in Phys. Rev. A
Phys.Rev. A58 (1998) 1687
10.1103/PhysRevA.58.1687
null
quant-ph
null
The ladder proof of nonlocality without inequalities for two spin half particles proposed by Hardy et al. (Phys. Rev. Lett. 79 (1997) 2755) works only for nonmaximally entangled states and goes through for 50% of pairs at the most. A similar ladder proof for two spin-1 particles in a maximally entangled state is presented. In its simplest form, the proof goes through for 17% of pairs. An extended version works for 100% of pairs. The proof can be extended to any maximally entangled state of two spin-s particles (with s equal or greater than 1).
[ { "version": "v1", "created": "Tue, 23 Dec 1997 23:44:37 GMT" }, { "version": "v2", "created": "Thu, 21 May 1998 00:28:30 GMT" } ]
2009-10-30T00:00:00
[ [ "Cabello", "Adan", "" ] ]
quant-ph/9712056
Sang Koo You
Sang Koo You, Kwang Joe Jeon, Chul Koo Kim, and Kyun Nahm (Yonsei University)
A new approximation scheme in quantum mechanics
14pages, to be published in Eur. J. Phys
Eur.J.Phys. 19 (1998) 179-186
10.1088/0143-0807/19/2/012
null
quant-ph
null
An approximation method which combines the perturbation theory with the variational calculation is constructed for quantum mechanical problems. Using the anharmonic oscillator and the He atom as examples, we show that the present method provides an efficient scheme in estimating both the ground and the excited states. We also discuss the limitations of the present method.
[ { "version": "v1", "created": "Tue, 30 Dec 1997 11:19:44 GMT" } ]
2009-10-30T00:00:00
[ [ "You", "Sang Koo", "", "Yonsei\n University" ], [ "Jeon", "Kwang Joe", "", "Yonsei\n University" ], [ "Kim", "Chul Koo", "", "Yonsei\n University" ], [ "Nahm", "Kyun", "", "Yonsei\n University" ] ]
quant-ph/9712057
Ashot S. Gevorkyan
Alexander V. Bogdanov and Ashot S. Gevorkyan
New Perturbation Theory for Nonstationary Anharmonic Oscillator
LaTeX, 13 pages
null
10.1088/0305-4470/30/21/015
null
quant-ph
null
The new perturbation theory for the problem of nonstationary anharmonic oscillator with polynomial nonstationary perturbation is proposed. As a zero order approximation the exact wave function of harmonic oscillator with variable frequency in external field is used. Based on some intrinsic properties of unperturbed wave function the variational-iterational method is proposed, that make it possible to correct both the amplitude and the phase of wave function. As an application the first order correction are proposed both for wave function and S-matrix elements for asymmetric perturbation potential of type $V(x,\tau)=\alpha (\tau)x^3+\beta (\tau)x^4.$ The transition amplitude ''ground state - ground state'' $W_{00}(\lambda ;\rho)$ is analyzed in detail depending on perturbation parameter $\lambda $ (including strong coupling region $% \lambda $ $\sim 1$) and one-dimensional refraction coefficient $\rho $.
[ { "version": "v1", "created": "Wed, 31 Dec 1997 12:39:57 GMT" } ]
2016-09-08T00:00:00
[ [ "Bogdanov", "Alexander V.", "" ], [ "Gevorkyan", "Ashot S.", "" ] ]
quant-ph/9712058
Igor Kanatczikow
Igor V. Kanatchikov
Towards the Born-Weyl Quantization of Fields
12pp, LaTeX2e. Talk at "Quantum Structures-96", Berlin, Aug. 1996. To appear in Int. J. Theor. Phys. (1998), January
Int.J.Theor.Phys. 37 (1998) 333-342
null
null
quant-ph gr-qc hep-th math-ph math.MP
null
Elements of the quantization in field theory based on the covariant polymomentum Hamiltonian formalism (the De Donder-Weyl theory), a possibility of which was originally discussed in 1934 by Born and Weyl, are developed. The approach is based on a recently proposed graded Poisson bracket on differential forms in field theory (see e.g. hep-th/9709229). A covariant analogue of the Schr\"odinger equation for a hypercomplex wave function on the space of field and space-time variables is put forward. It is shown to lead to the De Donder-Weyl Hamilton-Jacobi equations in quasiclassical limit. A possible relation to the functional Schr\"odinger picture in quantum field theory is outlined.
[ { "version": "v1", "created": "Wed, 31 Dec 1997 19:30:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Kanatchikov", "Igor V.", "" ] ]
quant-ph/9801001
Dr. Luca Salasnich, . D.
Luca Salasnich
Reply to a Comment on "the Role of Dimensionality in the Stability of a Confined Condensed Bose Gas"
4 pages, Latex, no figures
Mod.Phys.Lett. B12 (1998) 649-651
10.1142/S0217984998000767
null
quant-ph
null
As pointed out by the authors of the comment quant-ph/9712046, in our paper quant-ph/9712030 we studied in detail the metastability of a Bose-Einstein Condensate (BEC) confined in an harmonic trap with zero-range interaction. As well known, the BEC with attractive zero-range interaction is not stable but can be metastable. In our paper we analyzed the role of dimensionality for the metastability of the BEC with attractive and repulsive interaction.
[ { "version": "v1", "created": "Fri, 2 Jan 1998 16:47:58 GMT" } ]
2009-10-31T00:00:00
[ [ "Salasnich", "Luca", "" ] ]
quant-ph/9801002
Timothy F. Havel
Shyamal S. Somaroo, David G. Cory and Timothy F. Havel
Expressing the operations of quantum computing in multiparticle geometric algebra
RevTeX, 10 pages, no figures; Physics Letters A, in press
Phys.Lett. A240 (1998) 1-7
10.1016/S0375-9601(98)00010-3
null
quant-ph
null
We show how the basic operations of quantum computing can be expressed and manipulated in a clear and concise fashion using a multiparticle version of geometric (aka Clifford) algebra. This algebra encompasses the product operator formalism of NMR spectroscopy, and hence its notation leads directly to implementations of these operations via NMR pulse sequences.
[ { "version": "v1", "created": "Sat, 3 Jan 1998 19:57:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Somaroo", "Shyamal S.", "" ], [ "Cory", "David G.", "" ], [ "Havel", "Timothy F.", "" ] ]
quant-ph/9801003
null
Bernd A. Berg
Quantum Theory and Spacelike Measurements
14 pages latex and 1 postscript figure in one file
null
null
null
quant-ph hep-th
null
Experimentally observed violations of Bell inequalities rule out local realistic theories. Consequently, the quantum state vector becomes a strong candidate for providing an objective picture of reality. However, such an ontological view of quantum theory faces difficulties when spacelike measurements on entangled states have to be described, because time ordering of spacelike events can change under Lorentz-Poincar\'e transformations. In the present paper it is shown that a necessary condition for consistency is to require state vector reduction on the backward light-cone. A fresh approach to the quantum measurement problem appears feasible within such a framework.
[ { "version": "v1", "created": "Sun, 4 Jan 1998 13:27:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Berg", "Bernd A.", "" ] ]
quant-ph/9801004
Jerry Finkelstein
J. Finkelstein
Does Schrodinger's Cat Know Something That Schrodinger Does Not Know?
LaTex, 8 pages, no figures
null
null
SJSU/TP-98-15
quant-ph
null
Macroscopic objects appear to have definite positions. In a many-worlds interpretation of quantum theory, this appearance is an illusion; the correct view is the "view from outside" in which even macroscopic objects are in general in a superposition of different positions. In the Bohm model, objects really are in definite positions. This additional aspect of reality is accessible only from the "inside"; thus in the Bohm model the view from inside can be more correct than is the view from outside.
[ { "version": "v1", "created": "Sun, 4 Jan 1998 18:28:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Finkelstein", "J.", "" ] ]
quant-ph/9801005
Nicolas Gisin
Nicolas Gisin
Quantum cloning without signaling
null
Phys.Lett. A242 (1998) 1-3
10.1016/S0375-9601(98)00170-4
null
quant-ph
null
Perfect Quantum Cloning Machines (QCM) would allow to use quantum nonlocality for arbitrary fast signaling. However perfect QCM cannot exist. We derive a bound on the fidelity of QCM compatible with the no-signaling constraint. This bound equals the fidelity of the Bu\v{z}ek-Hillery QCM.
[ { "version": "v1", "created": "Tue, 6 Jan 1998 16:43:07 GMT" } ]
2009-10-31T00:00:00
[ [ "Gisin", "Nicolas", "" ] ]
quant-ph/9801006
William T. Buttler
W. T. Buttler, R. J. Hughes, P. G. Kwiat, G. G. Luther, G. L. Morgan, J. E. Nordholt, C. G. Peterson, and C. M. Simmons
Free-space quantum key distribution
5 pages, 2 figures, 2 tables. To be published in Physical review A on or about 1 April 1998
null
10.1103/PhysRevA.57.2379
LA-UR-97-1975
quant-ph
null
A working free-space quantum key distribution (QKD) system has been developed and tested over a 205-m indoor optical path at Los Alamos National Laboratory under fluorescent lighting conditions. Results show that free-space QKD can provide secure real-time key distribution between parties who have a need to communicate secretly.
[ { "version": "v1", "created": "Tue, 6 Jan 1998 21:23:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Buttler", "W. T.", "" ], [ "Hughes", "R. J.", "" ], [ "Kwiat", "P. G.", "" ], [ "Luther", "G. G.", "" ], [ "Morgan", "G. L.", "" ], [ "Nordholt", "J. E.", "" ], [ "Peterson", "C. G.", "" ], [ "Simmons", "C. M.", "" ] ]
quant-ph/9801007
Kentaro Kato
Masahide Sasaki, Tsuyoshi Sasaki-Usuda, Masayuki Izutsu, Osamu Hirota
Realization of a collective decoding of codeword states
6 pages, RevTeX, 4 figures(EPS)
null
10.1103/PhysRevA.58.159
null
quant-ph
null
This was also extended from the previous article quant-ph/9705043, especially in a realization of the decoding process.
[ { "version": "v1", "created": "Wed, 7 Jan 1998 07:53:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Sasaki", "Masahide", "" ], [ "Sasaki-Usuda", "Tsuyoshi", "" ], [ "Izutsu", "Masayuki", "" ], [ "Hirota", "Osamu", "" ] ]
quant-ph/9801008
Gabriel Drobny
G. Drobny, B.Hladky and V. Buzek (Institute of Physics, Bratislava)
Quantum-state synthesis of multi-mode bosonic fields: Preparation of arbitrary states of 2-D vibrational motion of trapped ions
8 pages, revtex, including 2 ps-figures, section about physical implementation added, references updated, submitted to Phys. Rev. A, computer program available at http://www.savba.sk/sav/inst/fyzi/qo/
null
10.1103/PhysRevA.58.2481
null
quant-ph
null
We present a universal algorithm for an efficient deterministic preparation of an arbitrary two--mode bosonic state. In particular, we discuss in detail preparation of entangled states of a two-dimensional vibrational motion of a trapped ion via a sequence of laser stimulated Raman transitions. Our formalism can be generalized for multi-mode bosonic fields. We examine stability of our algorithm with respect to a technical noise.
[ { "version": "v1", "created": "Wed, 7 Jan 1998 14:08:17 GMT" }, { "version": "v2", "created": "Fri, 24 Apr 1998 11:00:11 GMT" } ]
2009-10-31T00:00:00
[ [ "Drobny", "G.", "", "Institute of Physics, Bratislava" ], [ "Hladky", "B.", "", "Institute of Physics, Bratislava" ], [ "Buzek", "V.", "", "Institute of Physics, Bratislava" ] ]
quant-ph/9801009
Vladimir Buzek
Vladimir Buzek and Mark Hillery (Institute of Physics, SAS, Bratislava, Slovakia & Department of Physics and Astronomy, Hunter College, CUNY, New York, USA)
Universal optimal cloning of qubits and quantum registers
To be presented at the First NASA Conference on Quantum Computing and Quantum Communications, 17-20 February 1998, Palm Springs, USA
null
null
null
quant-ph
null
We review our recent work on the universal (i.e. input state independent) optimal quantum copying (cloning) of qubits. We present unitary transformations which describe the optimal cloning of a qubit and we present the corresponding quantum logical network. We also present network for an optimal quantum copying ``machine'' (transformation) which produces N+1 identical copies from the original qubit. Here again the quality (fidelity) of the copies does not depend on the state of the original and is only a function of the number of copies, N. In addition, we present the machine which universaly and optimally clones states of quantum objects in arbitrary-dimensional Hilbert spaces. In particular, we discuss universal cloning of quantum registers.
[ { "version": "v1", "created": "Wed, 7 Jan 1998 14:40:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Buzek", "Vladimir", "", "Institute of Physics, SAS,\n Bratislava, Slovakia & Department of Physics and Astronomy, Hunter College,\n CUNY, New York, USA" ], [ "Hillery", "Mark", "", "Institute of Physics, SAS,\n Bratislava, Slovakia & Department of Physics and Astronomy, Hunter College,\n CUNY, New York, USA" ] ]
quant-ph/9801010
Valery Kalatsky
V. A. Kalatsky (Texas A&M University), V. L. Pokrovsky (Texas A&M University and Landau Institute)
Large moments in external fields of cubic group symmetry
4 pages, RevTeX, 4 figures, uses EPSF.sty
Europhys.Lett. 44 (1998) 539-545
10.1209/epl/i1998-00507-2
null
quant-ph cond-mat
null
We predict that large moments $J$, placed into a crystal field with the cubic point symmetry group, differ by their spectrum and magnetic properties. E. g., properties of the odd-integer moments are different from those of the even-integer. The effect is due to Berry's phases gained by the moment, when it tunnels between minima of the external field. Two cases of the group $O$ are classified, namely, 6- and 8-fold coordinations. The spectrum and degeneration of energy levels depend on a remainder $\{J/n\}$, where the divisor $n=4$ and 3 for 6-fold and 8-fold coordination respectively. %High symmetry results in a finite magnetic moment for half-integer %and some integer moments, for example odd $J$ at 6-fold coordination. Large moments in the cubic environment can be realized by diluted alloys ${R}_{1-x}{R}_{x}'$Sb, where R=Lu, La, and R$'$=Tb, Dy, Ho, Er.
[ { "version": "v1", "created": "Wed, 7 Jan 1998 18:46:53 GMT" } ]
2009-10-31T00:00:00
[ [ "Kalatsky", "V. A.", "", "Texas A&M University" ], [ "Pokrovsky", "V. L.", "", "Texas A&M\n University and Landau Institute" ] ]
quant-ph/9801011
Jerry Finkelstein
J. Finkelstein
Yet another comment on "Nonlocal character of quantum theory"
LateX, 6 pages, no figures
null
null
SJSU/TP-98-16
quant-ph
null
There has been considerable discussion of the claim by Stapp [Am. J. Phys. 65, 300 (1997)] that quantum theory is incompatible with locality. In this note I analyze the meaning of some of the statements used in this discussion.
[ { "version": "v1", "created": "Wed, 7 Jan 1998 23:05:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Finkelstein", "J.", "" ] ]
quant-ph/9801012
Kentaro Kato
Masahide Sasaki, Kentaro Kato, Masayuki Izutsu, Osamu Hirota
Quantum channels showing superadditivity in capacity
16 pages, RevTeX, 8 figures(EPS)
null
10.1103/PhysRevA.58.146
null
quant-ph
null
This was significantly extended from the previous article quant-ph/9705043,especially in an information theoretic aspect, by adding new results.
[ { "version": "v1", "created": "Thu, 8 Jan 1998 08:47:16 GMT" } ]
2009-10-31T00:00:00
[ [ "Sasaki", "Masahide", "" ], [ "Kato", "Kentaro", "" ], [ "Izutsu", "Masayuki", "" ], [ "Hirota", "Osamu", "" ] ]
quant-ph/9801013
Gonzalo Garcia de Polavieja
Gonzalo Garcia de Polavieja, Erik Sjoeqvist
Extending the quantal adiabatic theorem: Geometry of noncyclic motion
Minor stylistic changes in text and Fig. 3. Forthcoming in American Journal of Physics (March 98)
Forthcoming in American Journal of Physics (March 98)
10.1119/1.18799
null
quant-ph
null
We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm situation is worked out in detail. A spin-1/2 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.
[ { "version": "v1", "created": "Thu, 8 Jan 1998 14:44:57 GMT" }, { "version": "v2", "created": "Wed, 28 Jan 1998 18:56:47 GMT" } ]
2009-10-31T00:00:00
[ [ "de Polavieja", "Gonzalo Garcia", "" ], [ "Sjoeqvist", "Erik", "" ] ]
quant-ph/9801014
Michael Westmoreland
Michael D. Westmoreland (Denison University), Benjamin Schumacher (Kenyon College)
Quantum Entanglement and the Nonexistence of Superluminal Signals
5 pages text plus 1 figure, revised 5 March 1998 to include additional remarks and diagrams
null
null
null
quant-ph
null
This paper shows that ordinary quantum mechanics is not consistent with the superluminal transmission of classical information.
[ { "version": "v1", "created": "Thu, 8 Jan 1998 22:21:21 GMT" }, { "version": "v2", "created": "Thu, 5 Mar 1998 17:18:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Westmoreland", "Michael D.", "", "Denison University" ], [ "Schumacher", "Benjamin", "", "Kenyon College" ] ]
quant-ph/9801015
D. Trifonov
D.A. Trifonov
Canonical equivalence of quantum systems, multimode squeezed states and Robertson relation
19 pages, LaTex, no figures
null
null
INRNE-TH-95/4
quant-ph
null
It is shown that any two Hamiltonians H(t) and H'(t) of N dimensional quantum systems can be related by means of time-dependent canonical transformations (CT). The dynamical symmetry group of system with Hamiltonian H(t) coincides with the invariance group of H(t). Quadratic Hamiltonians can be diagonalized by means of linear time-dependent CT. The diagonalization can be explicitly carried out in the case of stationary and some nonstationary quadratic H. Linear CT can diagonalize the uncertainty matrix \sigma(\rho) for canonical variables p_k, q_j in any state \rho, i.e., \sigma(\rho) is symplectically congruent to a diagonal uncertainty matrix. For multimode squeezed canonical coherent states (CCS) and squeezed Fock states with equal photon numbers in each mode \sigma is symplectic itself. It is proved that the multimode Robertson uncertainty relation is minimized only in squeezed CCS.
[ { "version": "v1", "created": "Fri, 9 Jan 1998 10:02:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Trifonov", "D. A.", "" ] ]
quant-ph/9801016
M. Iosifescu
Mircea Iosifescu
Annihilators of Irreducible Modules and Kinematical Constraints of Pair Operators
12 pages, LATEX, no figures, submitted to Progress in Yheoretical Physics January 1998
null
null
FT-418-July 1996
quant-ph
null
The kinematical constraints of pair operators in nuclear collective motion, pointed out by Yamamura and identified by Nishiyama as relations between so(2n) generators, are recognized as equations satisfied by second-degree annihilators (deduced in previous work) of irreducible so(2n)-modules. The recursion relations for Nishiyama's tensors and their dependence on the parity of the tensor degree are explained. An explanation is also given for the recursion relation for the sp(2n) tensors pointed out by Hwa and Nuyts. The statements for the algebras so(2n) and sp(2n) are proved simultaneously.
[ { "version": "v1", "created": "Fri, 9 Jan 1998 12:21:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Iosifescu", "Mircea", "" ] ]
quant-ph/9801017
Wojciech Florek
Wojciech Florek
Center of the charged particle orbit for any linear gauge
RevTeX, 5 pages, submitted to Int. J. Mod. Phys. B
null
null
null
quant-ph cond-mat.mes-hall math-ph math.MP
null
In the case of a constant uniform magnetic field it can be assumed, without the loss of generality, that the vector potential (the gauge) is a linear function of position, i.e. it could be considered as a three-dimensional real matrix or, more generally in an n-dimensional space, as a tensor A of the rank two. The magnetic tensor H is obtained from A by antisymmetrization, i.e. H=A-A^T. It is shown that the transpose of A plays a special role, since it determines the operator of the orbit center of a charged particle moving in an external magnetic field H. Moreover, this movement can be considered as a combination of N<=n independent cyclotronic movements in orthogonal planes (cyclotron orbits) with quantized energies, whereas in other n-2N dimensions the particle is completely free with a continuous energy spectrum. The proposed approach enables introduction of the four-dimensional space-time and, after some generalizations, non-linear gauges.
[ { "version": "v1", "created": "Sat, 10 Jan 1998 18:34:36 GMT" }, { "version": "v2", "created": "Tue, 17 Dec 2002 09:01:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Florek", "Wojciech", "" ] ]
quant-ph/9801018
Piotr Rozmej
P. Rozmej (University MCS, Lublin, Poland) and R. Arvieu(ISN, Grenoble, France)
Clones and other interferance effects in the evolution of angular momentum coherent states
20 pages, ReVTeX, additionally 11 postscript figures (gziped, the biggest fig4,6,7 about 60kB each). Submitted to Phys. Rev. A. (revised version, presentation of the theory largely changes and extended, 1 new figure7 added)
Phys.Rev. A58 (1998) 4314-4329
10.1103/PhysRevA.58.4314
null
quant-ph math-ph math.MP nucl-th physics.atom-ph physics.chem-ph
null
The aim of this article is to present the interference effects which occur during the time evolution of simple angular wave packets (WP) which can be associated to a diatomic rigid molecule (heteronuclear) or to a quantum rigid body with axial symmetry like a molecule or a nucleus. The time evolution is understood entirely within the frame of fractional revivals discovered by Averbukh and Perelman since the energy spectrum is exactly quadratic. Our objectives are to study how these interference effects differ when there is a change of the initial WP. For this purpose we introduce a two parameter set of angular momentum coherent states. From one hand this set emerge quite naturally from the three dimensional coherent states of the harmonic oscillator, from another hand this set is shown to be buit from intelligent spin states.We have also compared our coherent states to some previously constructed using boson representation of angular momentum. The time evolution of coherent states for symmetric top is also discussed.
[ { "version": "v1", "created": "Sun, 11 Jan 1998 14:18:43 GMT" }, { "version": "v2", "created": "Mon, 13 Jul 1998 10:35:31 GMT" } ]
2009-10-31T00:00:00
[ [ "Rozmej", "P.", "", "University MCS, Lublin, Poland" ], [ "Arvieu", "R.", "", "ISN,\n Grenoble, France" ] ]
quant-ph/9801019
V. P. Karasev
Valery P. Karassiov (Lebedev Physical Institute, Moscow)
Symmetry as a source of hidden coherent structures in quantum physics: general outlook and examples
10 pages, LATEX; Proceedings of VIII Int. Conf. on Symmetry Methods in Physics (Dubna, July 28-August 2, 1997)
Phys.Atom.Nucl.63:648-656,2000; Yad.Fiz.63:714-722,2000
10.1134/1.855681
FIAN-OD-98-01
quant-ph
null
A general algebraic approach, incorporating both invariance groups and dynamic symmetry algebras, is developed to reveal hidden coherent structures (closed complexes and configurations) in quantum many-body physics models due to symmetries of their Hamiltonians $H$. Its general ideas are manifested on some recent new examples: 1) G-invariant bi-photons and a related SU(2)-invariant treatment of unpolarized light; 2) quasi-spin clusters in nonlinear models of quantum optics; 3) construction of composite particles and (para)fields from G-invariant clusters due to internal symmetries.
[ { "version": "v1", "created": "Mon, 12 Jan 1998 09:14:44 GMT" } ]
2008-11-26T00:00:00
[ [ "Karassiov", "Valery P.", "", "Lebedev Physical Institute, Moscow" ] ]
quant-ph/9801020
Marek Nowakowski
Marek Nowakowski
The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
14 pages, Latex
Phys.Lett. A244 (1998) 329-337
10.1016/S0375-9601(98)00365-X
UAB-FT-435
quant-ph
null
We analyse the electromagnetic coupling in the Kemmer-Duffin-Petiau (KDP) equation. Since the KDP--equation which describes spin-0 and spin-1 bosons is of Dirac-type, we examine some analogies and differences from the Dirac equation. The main difference to the Dirac equation is that the KDP equation contains redundant components. We will show that as a result certain interaction terms in the Hamilton form of the KDP equation do not have a physical meaning and will not affect the calculation of physical observables. We point out that a second order KDP equation derived by Kemmer as an analogy to the second order Dirac equation is of limited physical applicability as (i) it belongs to a class of second order equations which can be derived from the original KDP equation and (ii) it lacks a back-transformation which would allow one to obtain solutions of the KDP equation out of solutions of the second order equation. We therefore suggest a different higher order equation which, as far as the solutions for the wave functions are concerned, is equivalent to the orginal first order KDP wave equation.
[ { "version": "v1", "created": "Mon, 12 Jan 1998 14:54:04 GMT" } ]
2009-10-31T00:00:00
[ [ "Nowakowski", "Marek", "" ] ]
quant-ph/9801021
Volodymyr Tkachuk
V. M. Tkachuk (Ivan Franko Lviv State University, Ukraine)
Quasi-Exactly Solvable Potentials with Two Known Eigenstates
13 pages, Latex, replaced by revised version
Phys. Lett. A 245 (1998) 177-182
10.1016/S0375-9601(98)00455-1
null
quant-ph
null
A new supersymmetry method for the generation of the quasi-exactly solvable (QES) potentials with two known eigenstates is proposed. Using this method we obtained new QES potentials for which we found in explicit form the energy levels and wave functions of the ground state and first excited state.
[ { "version": "v1", "created": "Mon, 12 Jan 1998 18:13:59 GMT" }, { "version": "v2", "created": "Wed, 23 Dec 1998 09:29:34 GMT" } ]
2009-10-31T00:00:00
[ [ "Tkachuk", "V. M.", "", "Ivan Franko Lviv State University, Ukraine" ] ]
quant-ph/9801022
Tal Mor
Eli Biham, Michel Boyer, Gilles Brassard, Jeroen van de Graaf and Tal Mor
Security of Quantum Key Distribution Against All Collective Attacks
5 pages, RevTeX
null
null
null
quant-ph
null
Security of quantum key distribution against sophisticated attacks is among the most important issues in quantum information theory. In this work we prove security against a very important class of attacks called collective attacks (under a compatible noise model) which use quantum memories and gates, and which are directed against the final key. Although attacks stronger than the collective attacks can exist in principle, no explicit example was found and it is conjectured that security against collective attacks implies also security against any attack.
[ { "version": "v1", "created": "Mon, 12 Jan 1998 22:59:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Biham", "Eli", "" ], [ "Boyer", "Michel", "" ], [ "Brassard", "Gilles", "" ], [ "van de Graaf", "Jeroen", "" ], [ "Mor", "Tal", "" ] ]
quant-ph/9801023
Ivan H. Deutsch
I. H. Deutsch and P. S. Jessen
Quantum-state control in optical lattices
35 pages including 8 figures. To appear in Phys. Rev. A. March 1998
null
10.1103/PhysRevA.57.1972
null
quant-ph
null
We study the means to prepare and coherently manipulate atomic wave packets in optical lattices, with particular emphasis on alkali atoms in the far-detuned limit. We derive a general, basis independent expression for the lattice operator, and show that its off-diagonal elements can be tailored to couple the vibrational manifolds of separate magnetic sublevels. Using these couplings one can evolve the state of a trapped atom in a quantum coherent fashion, and prepare pure quantum states by resolved-sideband Raman cooling. We explore the use of atoms bound in optical lattices to study quantum tunneling and the generation of macroscopic superposition states in a double-well potential. Far-off-resonance optical potentials lend themselves particularly well to reservoir engineering via well controlled fluctuations in the potential, making the atom/lattice system attractive for the study of decoherence and the connection between classical and quantum physics.
[ { "version": "v1", "created": "Tue, 13 Jan 1998 01:38:55 GMT" } ]
2009-10-31T00:00:00
[ [ "Deutsch", "I. H.", "" ], [ "Jessen", "P. S.", "" ] ]
quant-ph/9801024
Anna Sanpera
Anna Sanpera, Rolf Tarrach and Guifre Vidal
Quantum inseparability as local pseudomixture
5 pages latex
Phys.Rev. A58 (1998) 826-830
10.1103/PhysRevA.58.826
null
quant-ph
null
We show how to decompose any density matrix of the simplest binary composite systems, whether separable or not, in terms of only product vectors. We determine for all cases the minimal number of product vectors needed for such a decomposition. Separable states correspond to mixing from one to four pure product states. Inseparable states can be described as pseudomixtures of four or five pure product states, and can be made separable by mixing them with one or two pure product states.
[ { "version": "v1", "created": "Tue, 13 Jan 1998 13:46:26 GMT" } ]
2009-10-31T00:00:00
[ [ "Sanpera", "Anna", "" ], [ "Tarrach", "Rolf", "" ], [ "Vidal", "Guifre", "" ] ]
quant-ph/9801025
Ivan H. Deutsch
S. E. Hamann, D. L. Haycock, G. Klose, P. H. Pax, I. H. Deutsch and P. S. Jessen
Resolved-sideband Raman cooling to the ground state of an optical lattice
PDF file, 13 pages including 3 figures
Phys.Rev.Lett. 80 (1998) 4149-4152
10.1103/PhysRevLett.80.4149
null
quant-ph
null
We trap neutral Cs atoms in a two-dimensional optical lattice and cool them close to the zero-point of motion by resolved-sideband Raman cooling. Sideband cooling occurs via transitions between the vibrational manifolds associated with a pair of magnetic sublevels and the required Raman coupling is provided by the lattice potential itself. We obtain mean vibrational excitations \bar{n}_x \approx \bar{n}_y \approx 0.01, corresponding to a population \sim 98% in the vibrational ground state. Atoms in the ground state of an optical lattice provide a new system in which to explore quantum state control and subrecoil laser cooling
[ { "version": "v1", "created": "Tue, 13 Jan 1998 17:52:20 GMT" } ]
2009-10-31T00:00:00
[ [ "Hamann", "S. E.", "" ], [ "Haycock", "D. L.", "" ], [ "Klose", "G.", "" ], [ "Pax", "P. H.", "" ], [ "Deutsch", "I. H.", "" ], [ "Jessen", "P. S.", "" ] ]
quant-ph/9801026
Atushi Tanaka
Atushi Tanaka (University of Tsukuba)
Phase space caustics in multi-component systems
6 pages, 7 ps figures, To appear in Phys. Rev. Lett
Phys. Rev. Lett. 80, 1414 (1998)
10.1103/PhysRevLett.80.1414
null
quant-ph chao-dyn nlin.CD
null
As examples of quantum-"classical" coupling systems, multi-component systems are studied by semiclassical evaluations of the Feynman kernels in the coherent-state representation. From the observation of the phase space caustics due to the presence of the internal degree of freedom (IDF), two phenomena are explained in terms of the semiclassical theory: (1) The quantum oscillations of the IDF induce quantum interference patterns in the Hushimi representation; (2) Chaotic dynamics destroys the coherence of the quantum oscillations.
[ { "version": "v1", "created": "Wed, 14 Jan 1998 09:00:42 GMT" } ]
2009-03-19T00:00:00
[ [ "Tanaka", "Atushi", "", "University of Tsukuba" ] ]
quant-ph/9801027
Jonathan A. Jones
J. A. Jones and M. Mosca (University of Oxford, UK)
Implementation of a Quantum Algorithm to Solve Deutsch's Problem on a Nuclear Magnetic Resonance Quantum Computer
16 pages including 6 figures. Minor clarifications as requested by the referee plus updated references. Journal of Chemical Physics, in press (expected publication date August 1st 1998)
J.Chem.Phys. 109 (1998) 1648-1653
10.1063/1.476739
JAJQP-98-01
quant-ph
null
We demonstrate the use of an NMR quantum computer based on the pyrimidine base cytosine, and the implementation of a quantum algorithm to solve Deutsch's problem.
[ { "version": "v1", "created": "Wed, 14 Jan 1998 09:36:24 GMT" }, { "version": "v2", "created": "Thu, 30 Apr 1998 11:46:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Jones", "J. A.", "", "University of Oxford, UK" ], [ "Mosca", "M.", "", "University of Oxford, UK" ] ]
quant-ph/9801028
Tamas Kiss
T. Kiss, U. Herzog, and U. Leonhardt
Reply on the ``Comment on `Loss-error compensation in quantum- state measurements' ''
LaTex, 2 pages, 1 Figure; to be published in Physical Review A
null
10.1103/PhysRevA.57.3134
QP-97-01
quant-ph
null
The authors of the Comment [G. M. D'Ariano and C. Macchiavello to be published in Phys. Rev. A, quant-ph/9701009] tried to reestablish a 0.5 efficiency bound for loss compensation in optical homodyne tomography. In our reply we demonstrate that neither does such a rigorous bound exist nor is the bound required for ruling out the state reconstruction of an individual system [G. M. D'Ariano and H. P. Yuen, Phys. Rev. Lett. 76, 2832 (1996)].
[ { "version": "v1", "created": "Wed, 14 Jan 1998 09:55:06 GMT" } ]
2009-10-31T00:00:00
[ [ "Kiss", "T.", "" ], [ "Herzog", "U.", "" ], [ "Leonhardt", "U.", "" ] ]
quant-ph/9801029
Krzysztof Kowalski
K. Kowalski, J. Rembielinski and L.C. Papaloucas
Coherent states for a quantum particle on a circle
23 pages LaTeX, uses ioplppt.sty
J.Phys.A29:4149-4167,1996
10.1088/0305-4470/29/14/034
kft-96-55
quant-ph
null
The coherent states for the quantum particle on the circle are introduced. The Bargmann representation within the actual treatment provides the representation of the algebra $[\hat J,U]=U$, where $U$ is unitary, which is a direct consequence of the Heisenberg algebra $[\hat \phi, \hat J]=i$, but it is more adequate for the study of the circlular motion.
[ { "version": "v1", "created": "Wed, 14 Jan 1998 14:04:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Kowalski", "K.", "" ], [ "Rembielinski", "J.", "" ], [ "Papaloucas", "L. C.", "" ] ]
quant-ph/9801030
Toralf Gruner
T. Gruner and D.-G. Welsch (FSU Jena)
Antibunching of distorted optical wave packets at a beam splitter
16 pages, LaTex, 6 figures
null
10.1016/S0030-4018(98)00233-8
null
quant-ph
null
Interference of single-photon wave packets at a beam splitter usually leads to an anticorrelation of the light intensity in the two output ports of the beam splitter. The effect may be regarded as ``bunching'' of the photons at the beam splitter and has widely been interpreted as a result of quantum mechanical interference between the probability amplitudes of indistinguishable bosonic particles. Here we show that when the wave packets are sufficiently distorted, then the opposite behaviour is observed, i.e., simultaneous clicks of the photodetectors in the two output ports are favoured, which may be regarded as ``antibunching'' of the photons at the beam splitter.
[ { "version": "v1", "created": "Thu, 15 Jan 1998 09:17:26 GMT" } ]
2009-10-31T00:00:00
[ [ "Gruner", "T.", "", "FSU Jena" ], [ "Welsch", "D. -G.", "", "FSU Jena" ] ]
quant-ph/9801031
Jezykmil
Stefan Giller and Piotr Milczarski (Theoretical Physics Department II, University of Lodz, Poland)
Borel Summable Solutions to 1D Schr\"odinger Equation
39 pages, 20 Postscript figures, uses epsfig.sty article.sty, figure caption added and misprints corrected
J.Math.Phys. 42 (2001) 608-640
10.1063/1.1331099
null
quant-ph
null
It is shown that so called fundamental solutions the semiclassical expansions of which have been established earlier to be Borel summable to the solutions themselves appear also to be the unique solutions to the 1D Schr\"odinger equation having this property. Namely, it is shown in this paper that for the polynomial potentials the Borel function defined by the fundamental solutions can be considered as the canonical one. The latter means that any Borel summable solution can be obtained by the Borel transformation of this unique canonical Borel function multiplied by some $\hbar$-dependent and Borel summable constant. This justify the exceptional role the fundamental solutions play in 1D quantum mechanics and completes the relevant semiclassical theory relied on the Borel resummation technique and developed in our other papers.
[ { "version": "v1", "created": "Thu, 15 Jan 1998 17:06:53 GMT" }, { "version": "v2", "created": "Sat, 14 Aug 1999 10:27:20 GMT" }, { "version": "v3", "created": "Thu, 12 Oct 2000 16:31:01 GMT" }, { "version": "v4", "created": "Thu, 26 Oct 2000 16:47:53 GMT" } ]
2009-10-31T00:00:00
[ [ "Giller", "Stefan", "", "Theoretical Physics Department II,\n University of Lodz, Poland" ], [ "Milczarski", "Piotr", "", "Theoretical Physics Department II,\n University of Lodz, Poland" ] ]
quant-ph/9801032
null
Vladimir S. Mashkevich (Institute of Physics, Kiev)
On Stapp-Unruh-Mermin Discussion on Quantum Nonlocality: Quantum Jumps and Relativity
9 pages, LATEX 2.09
null
null
IP 1/98
quant-ph
null
We argue that the participants of the discussion have overlooked an essential circumstance, in view of which Stapp's fifth proposition fails. The circumstance is that though $L$ and $R$ measurements, being causally separated, are not invariantly time ordered, quantum-jump hypersurfaces associated with the measurements are causelikewise ordered. Stapp's fifth proposition is true iff $L$ hypersurface precedes $R$ one; but within the limits of special relativity, it is impossible to determine the causelike order of those hypersurfaces. The entire Stapp's construct is revised.
[ { "version": "v1", "created": "Thu, 15 Jan 1998 20:19:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Mashkevich", "Vladimir S.", "", "Institute of Physics, Kiev" ] ]
quant-ph/9801033
Ricardo Moritz Cavalcanti
R. M. Cavalcanti
Exact Green's functions for delta-function potentials and renormalization in quantum mechanics
9 pages, REVTEX
Rev.Bras.Ens.Fis. 21 (1999) 336
null
null
quant-ph
null
We present a simple recipe to construct the Green's function associated with a Hamiltonian of the form H=H_0+V, where H_0 is a Hamiltonian for which the associated Green's function is known and V is a delta-function potential. We apply this result to the case in which H_0 is the Hamiltonian of a free particle in D dimensions. Field theoretic concepts such as regularization, renormalization, dimensional transmutation and triviality are introduced naturally in order to deal with an infinity which shows up in the formal expression of the Green's function for D>1.
[ { "version": "v1", "created": "Thu, 15 Jan 1998 22:50:29 GMT" }, { "version": "v2", "created": "Mon, 27 Mar 2000 19:21:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Cavalcanti", "R. M.", "" ] ]
quant-ph/9801034
Jonathan Oppenheim
J. Oppenheim, B. Reznik, W.G. Unruh
Minimum Inaccuracy for Traversal-Time
Discussion on dwell time added, qualitative proof added, minor modifications
null
null
LA-UR-974752
quant-ph gr-qc
null
Using various model clocks it has been shown that the time-of-arrival cannot be measured more accurately than 1/E where E is the kinetic energy of a free particle. However, this result has never been proved. In this paper, we show that a violation of the above limitation for the transit-time, implies a violation of the Heisenberg uncertainty relation.
[ { "version": "v1", "created": "Fri, 16 Jan 1998 03:48:18 GMT" }, { "version": "v2", "created": "Thu, 21 May 1998 23:49:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Oppenheim", "J.", "" ], [ "Reznik", "B.", "" ], [ "Unruh", "W. G.", "" ] ]
quant-ph/9801035
Ralf Schuetzhold
Ralf Sch\"utzhold, Guenter Plunien and Gerhard Soff
Quantum radiation in external background fields
20 pages
Phys.Rev. A58 (1998) 1783
10.1103/PhysRevA.58.1783
null
quant-ph
null
A canonical formalism is presented which allows for investigations of quantum radiation induced by localized, smooth disturbances of classical background fields by means of a perturbation theory approach. For massless, non-selfinteracting quantum fields at zero temperature we demonstrate that the low-energy part of the spectrum of created particles exhibits a non-thermal character. Applied to QED in varying dielectrics the response theory approach facilitates to study two distinct processes contributing to the production of photons: the squeezing effect due to space-time varying properties of the medium and of the velocity effect due to its motion. The generalization of this approach to finite temperatures as well as the relation to sonoluminescence is indicated.
[ { "version": "v1", "created": "Fri, 16 Jan 1998 13:00:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Schützhold", "Ralf", "" ], [ "Plunien", "Guenter", "" ], [ "Soff", "Gerhard", "" ] ]
quant-ph/9801036
Gonzalo Garcia de Polavieja
Fernando M. Maroto
Solving in the quantum computer every classical NP problem in polynomial time
WITHDRAWN
null
null
null
quant-ph
null
This paper has been withdrawn by the author due to a crucial error in eq.59. I apologize for the inconveniences.
[ { "version": "v1", "created": "Fri, 16 Jan 1998 13:22:18 GMT" }, { "version": "v2", "created": "Tue, 20 Jan 1998 15:10:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Maroto", "Fernando M.", "" ] ]
quant-ph/9801037
Lieven Vandersypen
Isaac L. Chuang (1), Lieven M.K. Vandersypen (2), Xinlan Zhou (2), Debbie W. Leung (3) and Seth Lloyd (4) ((1) IBM Almaden Research Center (2) Solid State Electronics Laboratory, Stanford (3) Ginzton Laboratory, Stanford (4) MIT Dept. of Mechanical Engineering.)
Experimental realization of a quantum algorithm
4 pages, 3 figures, mypsfig2, revtex, revised version (no major changes), published in Nature, 393, 143-146 (1998)
null
10.1038/30181
null
quant-ph
null
Nuclear magnetic resonance techniques are used to realize a quantum algorithm experimentally. The algorithm allows a simple NMR quantum computer to determine global properties of an unknown function requiring fewer function ``calls'' than is possible using a classical computer.
[ { "version": "v1", "created": "Mon, 19 Jan 1998 08:48:41 GMT" }, { "version": "v2", "created": "Sat, 6 Jun 1998 23:12:41 GMT" } ]
2009-10-31T00:00:00
[ [ "Chuang", "Isaac L.", "" ], [ "Vandersypen", "Lieven M. K.", "" ], [ "Zhou", "Xinlan", "" ], [ "Leung", "Debbie W.", "" ], [ "Lloyd", "Seth", "" ] ]
quant-ph/9801038
Cristopher Moore
Cristopher Moore (Santa Fe Institute)
Another Way to Perform the Quantum Fourier Transform in Linear Parallel Time
WITHDRAWN
null
null
null
quant-ph
null
This paper has been withdrawn.
[ { "version": "v1", "created": "Mon, 19 Jan 1998 23:55:15 GMT" }, { "version": "v2", "created": "Tue, 20 Jan 1998 23:46:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Moore", "Cristopher", "", "Santa Fe Institute" ] ]
quant-ph/9801039
Hideo Mabuchi
Hideo Mabuchi
Standard Quantum Limits for broadband position measurement
Replaced version: changed title, fixed algebra error at the very end, conclusions modified accordingly. Four pages, one eps figure
null
10.1103/PhysRevA.58.123
null
quant-ph math-ph math.MP
null
I utilize the Caves-Milburn model for continuous position measurements to formulate a broadband version of the Standard Quantum Limit (SQL) for monitoring the position of a free mass, and illustrate the use of Kalman filtering to recover the SQL for estimating a weak classical force that acts on a quantum-mechanical test particle under continuous observation. These derivations are intended to clarify the interpretation of SQL's in the context of continuous quantum measurement.
[ { "version": "v1", "created": "Tue, 20 Jan 1998 03:42:02 GMT" }, { "version": "v2", "created": "Tue, 27 Jan 1998 17:51:18 GMT" }, { "version": "v3", "created": "Wed, 28 Jan 1998 18:13:21 GMT" } ]
2012-01-20T00:00:00
[ [ "Mabuchi", "Hideo", "" ] ]
quant-ph/9801040
Dieter Maison
S.Schlieder
Remarks concerning an Entropy-like Quantity $S_q$ especially for Quantum Systems with a Particle Picture; Model with pure Point Spectra
17 pages
Nuovo Cim. B114 (1999) 1225-1238
null
MPI-PhT/97-83
quant-ph
null
For quantum mechanical systems an entropy-like quantity $S_q$ is defined. $S_q$ can differ from the usually defined entropy $S$ and $S_q$ may increase with time for an isolated system. The essential condition for the difference between $S$ and $S_q$ is the assumption that the set {\bf A} of observables which can be represented by a measurement is a proper subset of the set of selfadjoint operators. The underlying idea is made visible in the case of particle systems with non-trivial scattering. The model-character of the reasoning comes from the fact that continuous spectra are replaced by point-spectra. So it seems evident, that no direct connection exists between $S_q$ and the Sinai-Kolmogorov-Entropy at least in this model with pure point-spectra.
[ { "version": "v1", "created": "Tue, 20 Jan 1998 11:07:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Schlieder", "S.", "" ] ]