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quant-ph/9707011
Jinsoo Kim
Dong Pyo Chi and Jinsoo Kim
A Polynomial-Time Quantum Algorithm for Collision Problem
This paper was withdrawn because of gaps in this paper
null
null
null
quant-ph
null
In this paper, we give a quantum algorithm which solves collision problem in an expected polynomial time. Especially, when the function is two-to-one, we present a quantum algorithm which can find a collision with certainty in a worst-case polynomial time. We also give a quantum algorithm which solves claw problem with certainty in a worst-case polynomial time.
[ { "version": "v1", "created": "Fri, 4 Jul 1997 07:54:55 GMT" }, { "version": "v2", "created": "Sun, 6 Jul 1997 08:54:16 GMT" }, { "version": "v3", "created": "Tue, 15 Jul 1997 08:12:52 GMT" } ]
2008-02-03T00:00:00
[ [ "Chi", "Dong Pyo", "" ], [ "Kim", "Jinsoo", "" ] ]
quant-ph/9707012
null
Stefano Mancini and Paolo Tombesi (Dipartimento di Matematica e Fisica, Universita' di Camerino, Italy)
Measuring the Cyclotron State of a Trapped Electron
8 pages, RevTex, 2 figures available from the authors, accepted by Phys. Rev. A
Phys.Rev. A56 (1997) 3060
10.1103/PhysRevA.56.3060
null
quant-ph
null
We propose the cyclotron state retrieval of an electron trapped in a Penning trap by using different measurement schemes based on suitable modifications of the applied electromagnetic fields and exploiting the axial degree of freedom as a probe. A test for matter-antimatter symmetry of the quantum state is proposed.
[ { "version": "v1", "created": "Fri, 4 Jul 1997 12:44:39 GMT" } ]
2009-10-30T00:00:00
[ [ "Mancini", "Stefano", "", "Dipartimento di Matematica e\n Fisica, Universita' di Camerino, Italy" ], [ "Tombesi", "Paolo", "", "Dipartimento di Matematica e\n Fisica, Universita' di Camerino, Italy" ] ]
quant-ph/9707013
M. Czachor
Marek Czachor and Marcin Marciniak
Density matrix interpretation of solutions of Lie-Nambu equations
final version, to be published in Phys. Lett. A 239 No. 6, pp. 353-358 (16 March 1998)
null
10.1016/S0375-9601(98)00047-4
null
quant-ph
null
The spectrum of a density matrix $\rho(t)$ is conserved by a Lie-Nambu dynamics if $\rho(t)$ is a self-adjoint and Hilbert-Schmidt solution of a nonlinear triple-bracket equation. This generalizes to arbitrary separable (positive- and indefinite-metric) Hilbert spaces the previous result which was valid for finite-dimensional Hilbert spaces.
[ { "version": "v1", "created": "Fri, 4 Jul 1997 13:24:13 GMT" }, { "version": "v2", "created": "Mon, 23 Feb 1998 17:58:51 GMT" } ]
2009-10-30T00:00:00
[ [ "Czachor", "Marek", "" ], [ "Marciniak", "Marcin", "" ] ]
quant-ph/9707014
Susana F. Huelga
S.F Huelga, C. Macchiavello, T. Pellizzari, A.K. Ekert, M. B. Plenio and J.I. Cirac
On the Improvement of Frequency Stardards with Quantum Entanglement
4 pages, 4 figures
Phys.Rev.Lett. 79 (1997) 3865
10.1103/PhysRevLett.79.3865
null
quant-ph
null
The optimal precision of frequency measurements in the presence of decoherence is discussed. We analyze different preparations of n two level systems as well as different measurement procedures. We show that standard Ramsey spectroscopy on uncorrelated atoms and optimal measurements on maximally entangled states provide the same resolution. The best resolution is achieved using partially entangled preparations with a high degree of symmetry.
[ { "version": "v1", "created": "Fri, 4 Jul 1997 20:22:47 GMT" } ]
2009-10-30T00:00:00
[ [ "Huelga", "S. F", "" ], [ "Macchiavello", "C.", "" ], [ "Pellizzari", "T.", "" ], [ "Ekert", "A. K.", "" ], [ "Plenio", "M. B.", "" ], [ "Cirac", "J. I.", "" ] ]
quant-ph/9707015
Anton N. Artemyev
A.N. Artemyev, V.M. Shabaev, and V.A. Yerokhin
Vacuum polarization screening corrections to the ground state energy of two-electron ions
15 pages, LATeX, submited to Phys. Rev. A
null
10.1103/PhysRevA.56.3529
null
quant-ph
null
Vacuum polarization screening corrections to the ground state energy of two-electron ions are calculated in the range $Z=20-100$. The calculations are carried out for a finite nucleus charge distribution.
[ { "version": "v1", "created": "Sun, 6 Jul 1997 19:50:04 GMT" } ]
2009-10-30T00:00:00
[ [ "Artemyev", "A. N.", "" ], [ "Shabaev", "V. M.", "" ], [ "Yerokhin", "V. A.", "" ] ]
quant-ph/9707016
Dirk Sondermann
Gerhard C. Hegerfeldt
Problems about Causality in Fermi's Two-Atom Model and Possible Resolutions
13 pages, Latex
null
null
null
quant-ph
null
In order to check finite propagation speed Fermi, in 1932, had considered two atoms A and B separated by some distance R. At time t=0, A is in an excited state, B in its ground state, and no photons are present. Fermi's idea was to calculate the excitation probability of B. In a model-independent way and with minimal assumptions - Hilbert space and positive energy only - it is proved, not just for atoms but for any systems A and B, that the excitation probability of B is nonzero immediately after t=0. Possible ways out to avoid a contradiction to finite propagation speed are discussed. The notions of strong and weak Einstein causality are introduced.
[ { "version": "v1", "created": "Mon, 7 Jul 1997 09:11:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Hegerfeldt", "Gerhard C.", "" ] ]
quant-ph/9707017
Vladimir Privman
V. Privman, I. D. Vagner and G. Kventsel
Quantum Computation in Quantum-Hall Systems
12 pages in LaTeX + 1 PostScript figure
Phys.Lett.A239:141-146,1998
10.1016/S0375-9601(97)00974-2
null
quant-ph cond-mat
null
We describe a quantum information processor (quantum computer) based on the hyperfine interactions between the conduction electrons and nuclear spins embedded in a two-dimensional electron system in the quantum-Hall regime. Nuclear spins can be controlled individually by electromagnetic pulses. Their interactions, which are of the spin-exchange type, can be possibly switched on and off pair-wise dynamically, for nearest neighbors, by controlling impurities. We also propose the way to feed in the initial data and explore ideas for reading off the final results.
[ { "version": "v1", "created": "Tue, 8 Jul 1997 13:59:23 GMT" }, { "version": "v2", "created": "Wed, 7 Jan 1998 14:36:49 GMT" } ]
2014-11-18T00:00:00
[ [ "Privman", "V.", "" ], [ "Vagner", "I. D.", "" ], [ "Kventsel", "G.", "" ] ]
quant-ph/9707018
null
Stefano Mancini, Paolo Tombesi (Dipartimento di Matematica e Fisica, Universita' di Camerino, Italy) and Vladimir I. Man'ko (Lebedev Physical Institute, Moscow, Russia)
Beyond the Standard "Marginalizations" of Wigner Function
12 pages, LaTex, no figures, to appear in Quantum and Semiclass. Opt
Quant.Semiclass.Opt. 9 (1997) 987
10.1088/1355-5111/9/6/011
null
quant-ph
null
We discuss the problem of finding "marginal" distributions within different tomographic approaches to quantum state measurement, and we establish analytical connections among them.
[ { "version": "v1", "created": "Tue, 8 Jul 1997 15:34:14 GMT" } ]
2009-10-30T00:00:00
[ [ "Mancini", "Stefano", "", "Dipartimento di Matematica e Fisica,\n Universita' di Camerino, Italy" ], [ "Tombesi", "Paolo", "", "Dipartimento di Matematica e Fisica,\n Universita' di Camerino, Italy" ], [ "Man'ko", "Vladimir I.", "", "Lebedev Physical\n Institute, Moscow, Russia" ] ]
quant-ph/9707019
Brif Constantin
C. Brif, A. Mann, M. Revzen (Technion, Haifa)
Generalized coherent states are unique Bell states of quantum systems with Lie group symmetries
4 pages, REVTeX, amssymb style. More information on http://www.technion.ac.il/~brif/science.html
Phys.Rev. A57 (1998) 742
10.1103/PhysRevA.57.742
null
quant-ph
null
We consider quantum systems, whose dynamical symmetry groups are semisimple Lie groups, which can be split or decay into two subsystems of the same symmetry. We prove that the only states of such a system that factorize upon splitting are the generalized coherent states. Since Bell's inequality is never violated by the direct product state, when the system prepared in the generalized coherent state is split, no quantum correlations are created. Therefore, the generalized coherent states are the unique Bell states, i.e., the pure quantum states preserving the fundamental classical property of satisfying Bell's inequality upon splitting.
[ { "version": "v1", "created": "Wed, 9 Jul 1997 13:49:44 GMT" } ]
2009-10-30T00:00:00
[ [ "Brif", "C.", "", "Technion, Haifa" ], [ "Mann", "A.", "", "Technion, Haifa" ], [ "Revzen", "M.", "", "Technion, Haifa" ] ]
quant-ph/9707020
Haiqing Wei
Haiqing Wei, Xin Xue and S.D. Morgera
Trapping Quantum Coherence in Local Energy Minima
Latex file
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Clusters of solid-state quantum devices have long-living metastable states of local energy minima which may be used to store quantum information. The low to vanishing rate of dissipation fulfils the prerequisite to maintain quantum coherence. Then physical symmetrization of the devices could minimize the couplings of the clusters to environmental degrees of freedom so to reduce the rate of decoherence. Combined with various other error correction mechanisms and methods, such designs and optimizations could render solid-state devices useful for quantum information processing, which have the advantages of flexibility in state manipulation and system scaling.
[ { "version": "v1", "created": "Wed, 9 Jul 1997 16:42:04 GMT" }, { "version": "v2", "created": "Sun, 12 May 2013 20:57:18 GMT" } ]
2013-05-14T00:00:00
[ [ "Wei", "Haiqing", "" ], [ "Xue", "Xin", "" ], [ "Morgera", "S. D.", "" ] ]
quant-ph/9707021
Alaxei Kitaev
A. Yu. Kitaev
Fault-tolerant quantum computation by anyons
27 pages, Latex2e, uses amssymb.sty, 13 Postscript figures
Annals Phys. 303 (2003) 2-30
10.1016/S0003-4916(02)00018-0
null
quant-ph cond-mat.mes-hall hep-th
null
A two-dimensional quantum system with anyonic excitations can be considered as a quantum computer. Unitary transformations can be performed by moving the excitations around each other. Measurements can be performed by joining excitations in pairs and observing the result of fusion. Such computation is fault-tolerant by its physical nature.
[ { "version": "v1", "created": "Wed, 9 Jul 1997 18:28:27 GMT" } ]
2009-10-30T00:00:00
[ [ "Kitaev", "A. Yu.", "" ] ]
quant-ph/9707022
John T. Whelan
John T. Whelan
Propagator for a time-dependent harmonic oscillator
Paper withdrawn
null
null
null
quant-ph
null
This paper has been withdrawn, as the explicit form of the propagator can be found in: V.V.Dodonov, I.A.Malkin and V.I.Man'ko, J.Phys.A 8 (1975) L19 V.V.Dodonov, I.A.Malkin and V.I.Man'ko, Int.J.Theor.Phys. 14 (1975) 37, Sec.3 V.V.Dodonov, I.A.Malkin and V.I.Man'ko, Theor.Math.Phys. 24 (1975) 746, Sec.2 I am grateful to Professor Victor Dodonov for bringing this to my attention.
[ { "version": "v1", "created": "Wed, 9 Jul 1997 22:13:07 GMT" }, { "version": "v2", "created": "Tue, 19 Aug 1997 03:00:14 GMT" } ]
2008-02-03T00:00:00
[ [ "Whelan", "John T.", "" ] ]
quant-ph/9707023
Nicolas Cerf
Nicolas J. Cerf (Caltech)
Entropic bounds on coding for noisy quantum channels
20 pages RevTeX, 10 Postscript figures. Expanded Section II, added 1 figure, changed title. To appear in Phys. Rev. A (May 98)
Phys.Rev.A57:3330,1998
10.1103/PhysRevA.57.3330
KRL MAP-215
quant-ph
null
In analogy with its classical counterpart, a noisy quantum channel is characterized by a loss, a quantity that depends on the channel input and the quantum operation performed by the channel. The loss reflects the transmission quality: if the loss is zero, quantum information can be perfectly transmitted at a rate measured by the quantum source entropy. By using block coding based on sequences of n entangled symbols, the average loss (defined as the overall loss of the joint n-symbol channel divided by n, when n tends to infinity) can be made lower than the loss for a single use of the channel. In this context, we examine several upper bounds on the rate at which quantum information can be transmitted reliably via a noisy channel, that is, with an asymptotically vanishing average loss while the one-symbol loss of the channel is non-zero. These bounds on the channel capacity rely on the entropic Singleton bound on quantum error-correcting codes [Phys. Rev. A 56, 1721 (1997)]. Finally, we analyze the Singleton bounds when the noisy quantum channel is supplemented with a classical auxiliary channel.
[ { "version": "v1", "created": "Thu, 10 Jul 1997 03:44:49 GMT" }, { "version": "v2", "created": "Tue, 31 Mar 1998 02:20:46 GMT" } ]
2011-07-19T00:00:00
[ [ "Cerf", "Nicolas J.", "", "Caltech" ] ]
quant-ph/9707024
Werner Hofer
W. A. Hofer (TU-Wien)
Internal structures of electrons and photons and some consequences in relativistic physics
8 pages (ReVTeX, twocolumn) and 1 figure (eps). Talk given at the International Conference 'Relativistic Physics and Some of its Applications', June 25-28 in Athens, to appear in the proceedings. For a complete list of available papers see http://info.tuwien.ac.at/cms/wh/
null
null
MW-03-97
quant-ph hep-th
null
The theoretical foundations of quantum mechanics and de Broglie-Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal structures of particles comply with a wave-equation. Including external potentials yields the Schrodinger equation, which, in this context, is arbitrary due to internal energy components. The uncertainty relations are an expression of this, fundamental, arbitrariness. Electrons and photons can be described by an identical formalism, providing formulations equivalent to the Maxwell equations. Electrostatic interactions justify the initial assumption of electron-wave stability: the stability of electron waves can be referred to vanishing intrinsic fields of interaction. Aspect's experimental proof of non-locality is rejected, because these measurements imply a violation of the uncertainty relations. The paper finally points out some fundamental difficulties for a fully covariant formulation of quantum electrodynamics, which seem to be related to the existing infinity problems in this field.
[ { "version": "v1", "created": "Thu, 10 Jul 1997 07:24:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Hofer", "W. A.", "", "TU-Wien" ] ]
quant-ph/9707025
Eugeny Kochetov
E.A. Kochetov
Quasiclassical Path-Integral Approach to Quantum Mechanics Associated with a Semisimple Lee Algebra
20 pages, latex, no figures
null
null
null
quant-ph
null
A closed (in terms of classical data) expression for a transition amplitude between two generalized coherent states associated with a semisimple Lee algebra underlying the system is derived for large values of the representation highest weight, which corresponds to the quasiclssical approximation. Consideration is based upon a path-integral formalism adjusted to quantization of symplectic coherent-state manifolds that appear as one-rank coadjoint orbits.
[ { "version": "v1", "created": "Thu, 10 Jul 1997 07:16:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Kochetov", "E. A.", "" ] ]
quant-ph/9707026
Asher Peres
Asher Peres
Quantum Entanglement: Criteria and Collective Tests
12 pages LaTeX, one figure. Proceedings of Nobel Symposium 104: Modern Studies of Basic Quantum Concepts and Phenomena (Gimo, June 1997) to appear in Physica Scripta (1998)
Phys.Scripta T76 (1998) 52
10.1238/Physica.Topical.076a00052
null
quant-ph
null
The state of a quantum system, consisting of two distinct subsystems, is called separable if it can be prepared by two distant experimenters who receive instructions from a common source, via classical communication channels. A necessary condition is derived and is shown to be more sensitive than Bell's inequality for detecting quantum inseparability. Moreover, collective tests of Bell's inequality (namely, tests that involve several composite systems simultaneously) may sometimes lead to a violation of Bell's inequality, even if the latter is satisfied when each composite system is tested separately.
[ { "version": "v1", "created": "Fri, 11 Jul 1997 10:18:10 GMT" } ]
2009-10-30T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9707027
null
Corin Adlard, E. R Pike and Sarben Sarkar
On the Localization of One-Photon States
7 pages, tex, no figures
Phys.Rev.Lett.79:1585-1587,1997
10.1103/PhysRevLett.79.1585
null
quant-ph
null
Single photon states with arbitrarily fast asymptotic power-law fall-off of energy density and photodetection rate are explicitly constructed. This goes beyond the recently discovered tenth power-law of the Hellwarth-Nouchi photon which itself superseded the long-standing seventh power-law of the Amrein photon.
[ { "version": "v1", "created": "Fri, 11 Jul 1997 14:29:08 GMT" } ]
2009-01-23T00:00:00
[ [ "Adlard", "Corin", "" ], [ "Pike", "E. R", "" ], [ "Sarkar", "Sarben", "" ] ]
quant-ph/9707028
Vladimir Buzek
Radoslav Derka, Vladimir Buzek, Artur Ekert
Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles
4 pages, RevTeX, minor modifications to the text
Phys.Rev.Lett. 80 (1998) 1571-1575
10.1103/PhysRevLett.80.1571
null
quant-ph
null
We present a universal algorithm for the optimal quantum state estimation of an arbitrary finite dimensional system. The algorithm specifies a physically realizable positive operator valued measurement (POVM) on a finite number of identically prepared systems. We illustrate the general formalism by applying it to different scenarios of the state estimation of N independent and identically prepared two-level systems (qubits).
[ { "version": "v1", "created": "Mon, 14 Jul 1997 20:37:06 GMT" }, { "version": "v2", "created": "Wed, 16 Jul 1997 19:23:05 GMT" } ]
2009-10-30T00:00:00
[ [ "Derka", "Radoslav", "" ], [ "Buzek", "Vladimir", "" ], [ "Ekert", "Artur", "" ] ]
quant-ph/9707029
null
Ramandeep S. Johal
Angular Velocity Operator and Barnett-Pegg Formalism
4 pages, Latex
null
null
null
quant-ph
null
We define a new operator within Barnett-Pegg formalism for phase angle. The physical predictions for this operator correspond to those expected of an angular velocity operator. Examples studied are particle on a circle with and without magnetic field and quantum harmonic oscillator.
[ { "version": "v1", "created": "Mon, 14 Jul 1997 04:22:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Johal", "Ramandeep S.", "" ] ]
quant-ph/9707030
Guo Guangcan
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Ghost interference and diffraction based on the beam splitter
9 pages, 1 figures, Latex
null
null
null
quant-ph
null
A simple scheme is proposed for observing the ghost interference and diffraction. The signal and the idler beams are produced by a beam splitter with the incident light being in a thermal state. A slit is inserted into the signal beam. We derive rigorously that interference-diffraction patterns can be observed in the first-order correlation by scanning the probe in the idler beam.
[ { "version": "v1", "created": "Wed, 16 Jul 1997 01:32:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9707031
Cristopher Moore
Cristopher Moore and James P. Crutchfield
Quantum Automata and Quantum Grammars
21 pages
null
null
null
quant-ph
null
To study quantum computation, it might be helpful to generalize structures from language and automata theory to the quantum case. To that end, we propose quantum versions of finite-state and push-down automata, and regular and context-free grammars. We find analogs of several classical theorems, including pumping lemmas, closure properties, rational and algebraic generating functions, and Greibach normal form. We also show that there are quantum context-free languages that are not context-free.
[ { "version": "v1", "created": "Wed, 16 Jul 1997 20:29:24 GMT" } ]
2009-09-25T00:00:00
[ [ "Moore", "Cristopher", "" ], [ "Crutchfield", "James P.", "" ] ]
quant-ph/9707032
H. S. Sharatchandra
H.S.Sharatchandra
Coherent states for the anharmonic oscillator and classical phase space trajectories
8 pages, Latex
null
null
imsc-97-o7-28
quant-ph
null
Unique set of coherent states for the anharmonic oscillator is obtained by requiring i. under the quantum mechanical time evolution a coherent state evolves into another, governed by trajectory in the classical phase space (of a related hamiltonian); ii. the resolution of identity involves exactly the classical phase space measure.The rules are invariant under unitary transformations of the quantum theory and canonical transformations of the classical theory. The states are almost, but not quite, minimal uncertainty wave packets. The construction can be generalized to quantum versions of integrable classical theories.
[ { "version": "v1", "created": "Thu, 17 Jul 1997 04:09:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Sharatchandra", "H. S.", "" ] ]
quant-ph/9707033
Richard Jozsa
Richard Jozsa
Quantum Algorithms and the Fourier Transform
18 pages Latex. Submitted to Proceedings of Santa Barbara Conference on Quantum Coherence and Decoherence
null
10.1098/rspa.1998.0163
null
quant-ph
null
The quantum algorithms of Deutsch, Simon and Shor are described in a way which highlights their dependence on the Fourier transform. The general construction of the Fourier transform on an Abelian group is outlined and this provides a unified way of understanding the efficacy of these algorithms. Finally we describe an efficient quantum factoring algorithm based on a general formalism of Kitaev and contrast its structure to the ingredients of Shor's algorithm.
[ { "version": "v1", "created": "Thu, 17 Jul 1997 08:14:27 GMT" } ]
2009-10-30T00:00:00
[ [ "Jozsa", "Richard", "" ] ]
quant-ph/9707034
Richard Jozsa
Richard Jozsa
Entanglement and Quantum Computation
11 pages Latex. Appearing in ``Geometric Issues in the Foundations of Science'' ed. S. Huggett et. al. (O.U.P. 1997)
null
null
null
quant-ph
null
We argue that entanglement is the essential non-classical ingredient which provides the computational speed-up in quantum algorithms as compared to algorithms based on the processes of classical physics.
[ { "version": "v1", "created": "Thu, 17 Jul 1997 08:15:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Jozsa", "Richard", "" ] ]
quant-ph/9707035
Martin Plenio
V. Vedral and M.B. Plenio
Entanglement Measures and Purification Procedures
40 pages, 2 figures, small changes, included references to Lieb and Ruskai for the proof of strong subadditivity
Phys. Rev. A57:1619-1633,1998
10.1103/PhysRevA.57.1619
null
quant-ph
null
We generalize previously proposed conditions each measure of entanglement has to satisfy. We present a class of entanglement measures that satisfy these conditions and show that the Quantum Relative Entropy and Bures Metric generate two measures of this class. We calculate the measures of entanglement for a number of mixed two spin 1/2 systems using the Quantum Relative Entropy, and provide an efficient numerical method to obtain the measures of entanglement in this case. In addition, we prove a number of properties of our entanglement measure which have important physical implications. We briefly explain the statistical basis of our measure of entanglement in the case of the Quantum Relative Entropy. We then argue that our entanglement measure determines an upper bound to the number of singlets that can be obtained by any purification procedure and that distillable entanglement is in general smaller than the entanglement of creation.
[ { "version": "v1", "created": "Thu, 17 Jul 1997 09:28:44 GMT" }, { "version": "v2", "created": "Sun, 7 Dec 1997 14:43:31 GMT" } ]
2011-07-19T00:00:00
[ [ "Vedral", "V.", "" ], [ "Plenio", "M. B.", "" ] ]
quant-ph/9707036
Judy Mack
Susumu Okubo
Lorentz-Invariant Hamiltonian and Riemann Hypothesis
13 pages, TEX
J.Phys.A31:1049-1057,1998
10.1088/0305-4470/31/3/015
UR-1502
quant-ph
null
We have given some arguments that a two-dimensional Lorentz-invariant Hamiltonian may be relevant to the Riemann hypothesis concerning zero points of the Riemann zeta function. Some eigenfunction of the Hamiltonian corresponding to infinite-dimensional representation of the Lorentz group have many interesting properties. Especially, a relationship exists between the zero zeta function condition and the absence of trivial representations in the wave function.
[ { "version": "v1", "created": "Thu, 17 Jul 1997 16:01:22 GMT" } ]
2008-11-26T00:00:00
[ [ "Okubo", "Susumu", "" ] ]
quant-ph/9707037
Manfred Leubner
C.W. Gardiner, P. Zoller, R.J. Ballagh and M.J. Davis
Kinetics of Bose-Einstein Condensation in a Trap
9 pages, Revtex
Phys.Rev.Lett. 79 (1997) 1793-1796
10.1103/PhysRevLett.79.1793
null
quant-ph
null
The formation process of a Bose-Einstein condensate in a trap is described using a master equation based on quantum kinetic theory, which can be well approximated by a description using only the condensate mode in interaction with a thermalized bath of noncondensate atoms. A rate equation of the form n = 2W(n)[(1-exp((mu_n - mu)/kT))n + 1] is derived, in which the difference between the condensate chemical potential mu_n and the bath chemical potential mu gives the essential behavior. Solutions of this equation, in conjunction with the theoretical description of the process of evaporative cooling, give a characteristic latency period for condensate formation and appear to be consistent with the observed behavior of both rubidium and sodium condensate formation.
[ { "version": "v1", "created": "Fri, 18 Jul 1997 12:15:14 GMT" } ]
2009-10-30T00:00:00
[ [ "Gardiner", "C. W.", "" ], [ "Zoller", "P.", "" ], [ "Ballagh", "R. J.", "" ], [ "Davis", "M. J.", "" ] ]
quant-ph/9707038
Hoi-Kwong Lo
Hoi-Kwong Lo (Hewlett-Packard Labs, Bristol, UK), and Sandu Popescu (Isaac Newton Institute, Cambridge, UK and BRIMS, HP Labs, Bristol, UK)
Concentrating entanglement by local actions---beyond mean values
Substantially revised for clarity, Results unchanged, RevTex, 16 pages. Warning: The abstract posted on quant-ph is a truncated version which satisfies the 24-line limit
null
null
null
quant-ph
null
Suppose two distant observers Alice and Bob share a pure bipartite quantum state. By applying local operations and communicating with each other using a classical channel, Alice and Bob can manipulate it into some other states. Previous investigations of entanglement manipulations have been largely limited to a small number of strategies and their average outcomes. Here we consider a general entanglement manipulation strategy and go beyond the average property. For a pure entangled state shared between two separated persons Alice and Bob, we show that the mathematical interchange symmetry of the Schmidt decomposition can be promoted into a physical symmetry between the actions of Alice and Bob. Consequently, the most general (multi-step two-way-communications) strategy of entanglement manipulation of a pure state is, in fact, equivalent to a strategy involving only a single (generalized) measurement by Alice followed by one-way communications of its result to Bob. We also prove that strategies with one-way communications are generally more powerful than those without communications. In summary, one-way communications is necessary and sufficient for the entanglement manipulations of a pure bipartite state. The supremum probability of obtaining a maximally entangled state (of any dimension) from an arbitrary state is determined and a strategy for achieving this probability is constructed explicitly. One important question is whether collective manipulations in quantum mechanics can greatly enhance the probability of large deviations from the average behavior. We answer this question in the negative for a specific problem.
[ { "version": "v1", "created": "Sun, 20 Jul 1997 13:08:50 GMT" }, { "version": "v2", "created": "Thu, 8 Jul 1999 18:38:59 GMT" } ]
2008-02-03T00:00:00
[ [ "Lo", "Hoi-Kwong", "", "Hewlett-Packard Labs, Bristol, UK" ], [ "Popescu", "Sandu", "", "Isaac Newton Institute, Cambridge, UK and BRIMS, HP Labs, Bristol, UK" ] ]
quant-ph/9707039
null
S. De Martino, S. De Siena, F. Illuminati
Intrinsic chaoticity in stable classical systems and quantum fluctuations
null
null
null
null
quant-ph chao-dyn nlin.CD
null
The paper has been withdrawn
[ { "version": "v1", "created": "Mon, 21 Jul 1997 13:14:28 GMT" }, { "version": "v2", "created": "Tue, 1 Jun 1999 15:07:08 GMT" } ]
2016-09-08T00:00:00
[ [ "De Martino", "S.", "" ], [ "De Siena", "S.", "" ], [ "Illuminati", "F.", "" ] ]
quant-ph/9707040
Tekin Dereli
T. Dereli(METU), A. Vercin(Ankara U.)
W(infty)-Covariance of the Weyl-Wigner-Groenewold-Moyal Quantization
14 pages, Latex file. No figures. To apear in J. Math. Phys
J.Math.Phys. 38 (1997) 5515-5530
10.1063/1.532149
null
quant-ph
null
The differential structure of operator bases used in various forms of the Weyl-Wigner-Groenewold-Moyal (WWGM) quantization is analyzed and a derivative-based approach, alternative to the conventional integral-based one is developed. Thus the fundamental quantum relations follow in a simpler and unified manner. An explicit formula for the ordered products of the Heisenberg-Weyl algebra is obtained. The W(infty) -covariance of the WWGM-quantization in its most general form is established. It is shown that the group action of W(infty) that is realized in the classical phase space induces on bases operators in the corresponding Hilbert space a similarity transformation generated by the corresponding quantum W(infty) which provides a projective representation of the former $W_{\infty}$. Explicit expressions for the algebra generators in the classical phase space and in the Hilbert space are given. It is made manifest that this W(infty)-covariance of the WWGM-quantization is a genuine property of the operator bases.
[ { "version": "v1", "created": "Thu, 21 Jul 1994 12:28:06 GMT" } ]
2009-10-30T00:00:00
[ [ "Dereli", "T.", "", "METU" ], [ "Vercin", "A.", "", "Ankara U." ] ]
quant-ph/9707041
Anna Sanpera
Anna Sanpera, Rolf Tarrach and Guifre Vidal
Quantum separability, time reversal and canonical decompositions
9 pages, Revtex, no figures
null
null
null
quant-ph
null
We propose an interpretation of quantum separability based on a physical principle: local time reversal. It immediately leads to a simple characterization of separable quantum states that reproduces results known to hold for binary composite systems and which thereby is complete for low dimensions. We then describe a constructive algorithm for finding the canonical decomposition of separable and non separable mixed states of dimensions 2x2 and 2x3.
[ { "version": "v1", "created": "Mon, 21 Jul 1997 13:26:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Sanpera", "Anna", "" ], [ "Tarrach", "Rolf", "" ], [ "Vidal", "Guifre", "" ] ]
quant-ph/9707042
Wolfgang Tittel
W. Tittel, J. Brendel, B. Gisin, T. Herzog, H. Zbinden, and N. Gisin
Experimental demonstration of quantum correlations over more than 10 km
5 pages, REVTeX, 3 postscript figures included
Phys. Rev. A 57, 3229 (1998)
10.1103/PhysRevA.57.3229
null
quant-ph
null
Energy and time entangled photons at a wavelength of 1310 nm are produced by parametric downconversion in a KNbO3 crystal and are sent into all-fiber interferometers using a telecom fiber network. The two interferometers of this Franson-type test of the Bell-inequality are located 10.9 km apart from one another. Two-photon fringe visibilities of up to 81.6 % are obtained. These strong nonlocal correlations support the nonlocal predictions of quantum mechanics and provide evidence that entanglement between photons can be maintained over long distances.
[ { "version": "v1", "created": "Tue, 22 Jul 1997 13:11:14 GMT" }, { "version": "v2", "created": "Thu, 11 Dec 1997 08:40:41 GMT" }, { "version": "v3", "created": "Fri, 12 Jun 1998 13:28:52 GMT" } ]
2009-10-30T00:00:00
[ [ "Tittel", "W.", "" ], [ "Brendel", "J.", "" ], [ "Gisin", "B.", "" ], [ "Herzog", "T.", "" ], [ "Zbinden", "H.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/9707043
Anna Sanpera
Maciej Lewenstein and Anna Sanpera
Separability and entanglement of composite quantum systems
4 pages Latex, 1 figure
Phys.Rev.Lett. 80 (1998) 2261-2264
10.1103/PhysRevLett.80.2261
null
quant-ph
null
We provide a constructive algorithm to find the best separable approximation to an arbitrary density matrix of a composite quantum system of finite dimensions. The method leads to a condition of separability and to a measure of entanglement.
[ { "version": "v1", "created": "Tue, 22 Jul 1997 13:21:55 GMT" } ]
2009-10-30T00:00:00
[ [ "Lewenstein", "Maciej", "" ], [ "Sanpera", "Anna", "" ] ]
quant-ph/9707044
Haret Rosu
H.C. Rosu, J.L. Romero
Ermakov approach for the one-dimensional Helmholtz Hamiltonian
6 pages, LaTex
Nuovo Cim. B114 (1999) 569-574
null
null
quant-ph
null
For the one-dimensional Helmholtz equation we write the corresponding time-dependent Helmholtz Hamiltonian in order to study it as an Ermakov problem and derive geometrical angles and phases in this context
[ { "version": "v1", "created": "Tue, 22 Jul 1997 22:41:34 GMT" }, { "version": "v2", "created": "Sun, 30 Nov 1997 22:42:43 GMT" }, { "version": "v3", "created": "Sat, 26 Jun 1999 16:55:13 GMT" } ]
2008-02-03T00:00:00
[ [ "Rosu", "H. C.", "" ], [ "Romero", "J. L.", "" ] ]
quant-ph/9707045
null
Stefano Mancini and Paolo Tombesi (Dipartimento di Matematica e Fisica, Universita' di Camerino, Italy)
Macroscopic Coherence for a Trapped Electron
6 pages, RevTex, accepted by Phys. Rev. A
Phys.Rev.A56:1679,1997
10.1103/PhysRevA.56.R1679
null
quant-ph
null
We investigate the possibility of generating quantum macroscopic coherence phenomena by means of relativistic effects on a trapped electron.
[ { "version": "v1", "created": "Wed, 23 Jul 1997 09:52:17 GMT" } ]
2011-08-04T00:00:00
[ [ "Mancini", "Stefano", "", "Dipartimento di Matematica e\n Fisica, Universita' di Camerino, Italy" ], [ "Tombesi", "Paolo", "", "Dipartimento di Matematica e\n Fisica, Universita' di Camerino, Italy" ] ]
quant-ph/9707046
Holger Hofmann
Holger F. Hofmann, Guenter Mahler, and Ortwin Hess
Quantum control of atomic systems by time resolved homodyne detection and feedback
12 pages RevTex and 7 figures, to be published in Phys. Rev. A, final version
Phys.Rev.A 57, 4877 (1998)
10.1103/PhysRevA.57.4877
null
quant-ph physics.atom-ph physics.optics
null
We investigate the possibilities of preserving and manipulating the coherence of atomic two-level systems by ideal projective homodyne detection and feedback. For this purpose, the photon emission process is described on time scales much shorter than the lifetime of the excited state using a model based on Wigner-Weisskopf theory. The backaction of this emission process is analytically described as a quantum diffusion of the Bloch vector. It is shown that the evolution of the atomic wavefunction can be controlled completely using the results of homodyne detection. This allows the stabilization of a known quantum state or the creation of coherent states by a feedback mechanism. However, the feedback mechanism can never compensate the dissipative effects of quantum fluctuations even though the coherent state of the system is known at all times.
[ { "version": "v1", "created": "Wed, 23 Jul 1997 14:06:29 GMT" }, { "version": "v2", "created": "Wed, 1 Apr 1998 11:13:34 GMT" } ]
2009-10-30T00:00:00
[ [ "Hofmann", "Holger F.", "" ], [ "Mahler", "Guenter", "" ], [ "Hess", "Ortwin", "" ] ]
quant-ph/9707047
Asher Peres
Asher Peres
Quantum Disentanglement and Computation
10 pages LaTeX, to appear in special issue of Superlattices and Microstructures (1998), in honor of the 70th birthday of Rolf Landauer
Superlattices Microstruct. 23 (1998) 373
10.1006/spmi.1997.0518
null
quant-ph
null
Entanglement is essential for quantum computation. However, disentanglement is also necessary. It can be achieved without the need of classical operations (measurements). Two examples are analyzed: the discrete Fourier transform and error correcting codes.
[ { "version": "v1", "created": "Thu, 24 Jul 1997 08:04:19 GMT" } ]
2009-10-30T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9707048
Massimo Blasone
M. Blasone, Y.N. Srivastava, G. Vitiello, A. Widom
Phase Coherence in Quantum Brownian Motion
12 pages, LaTeX, 2 Figures
Annals Phys. 267 (1998) 61-74
10.1006/aphy.1998.5811
null
quant-ph hep-th
null
The quantum theory of Brownian motion is discussed in the Schwinger version wherein the notion of a coordinate moving forward in time $x(t)$ is replaced by two coordinates, $x_+(t)$ moving forward in time and $x_-(t)$ moving backward in time. The role of the doubling of the degrees of freedom is illustrated for the case of electron beam two slit diffraction experiments. Interference is computed with and without dissipation (described by a thermal bath). The notion of a dissipative interference phase, closely analogous to the Aharonov-Bohm magnetic field induced phase, is explored.
[ { "version": "v1", "created": "Thu, 24 Jul 1997 10:13:23 GMT" } ]
2009-10-30T00:00:00
[ [ "Blasone", "M.", "" ], [ "Srivastava", "Y. N.", "" ], [ "Vitiello", "G.", "" ], [ "Widom", "A.", "" ] ]
quant-ph/9707049
Juan Pablo Paz
Juan Pablo Paz and Wojciech Hubert Zurek
Continuous Error Correction
10 pages with 2 figures. Submitted to Proc. Roy. Soc. Lond. A
null
null
null
quant-ph
null
We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subject to the operations required to implement a quantum error correcting code. In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: a) Hamiltonian evolution, b) errors caused by the interaction with an environment and c) error-correcting operations. The master equation is formally presented for all stabilizer codes and its solution is analyzed for the simplest such code.
[ { "version": "v1", "created": "Fri, 25 Jul 1997 01:45:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Paz", "Juan Pablo", "" ], [ "Zurek", "Wojciech Hubert", "" ] ]
quant-ph/9707050
Yury A. Cuperin
L.A.Dmitrieva, Yu.A.Kuperin, Yu.B.Melnikov
One-Dimensional Discrete Stark Hamiltonian and Resonance Scattering by Impurities
20 pages, Latex, no figures
null
10.1088/0305-4470/30/9/019
null
quant-ph
null
A one-dimensional discrete Stark Hamiltonian with a continuous electric field is constructed by extension theory methods. In absence of the impurities the model is proved to be exactly solvable, the spectrum is shown to be simple, continuous, filling the real axis; the eigenfunctions, the resolvent and the spectral measure are constructed explicitly. For this (unperturbed) system the resonance spectrum is shown to be empty. The model considering impurity in a single node is also constructed using the operator extension theory methods. The spectral analysis is performed and the dispersion equation for the resolvent singularities is obtained. The resonance spectrum is shown to contain infinite discrete set of resonances. One-to-one correspondence of the constructed Hamiltonian to some Lee-Friedrichs model is established.
[ { "version": "v1", "created": "Thu, 27 Mar 1997 03:03:31 GMT" } ]
2009-10-30T00:00:00
[ [ "Dmitrieva", "L. A.", "" ], [ "Kuperin", "Yu. A.", "" ], [ "Melnikov", "Yu. B.", "" ] ]
quant-ph/9707051
Edward R. Floyd
Edward R. Floyd
Where and why the generalized Hamilton-Jacobi representation describes microstates of the Schr\"odinger wave function
6 pages, LaTeX 2.09
Found.Phys.Lett. 9 (1996) 489-497
null
null
quant-ph
null
A generalized Hamilton-Jacobi representation describes microstates of the Schr\"odinger wave function for bound states. At the very points that boundary values are applied to the bound state Schr\"odinger wave function, the generalized Hamilton-Jacobi equation for quantum mechanics exhibits a nodal singularity. For initial value problems, the two representations are equivalent.
[ { "version": "v1", "created": "Sat, 26 Jul 1997 14:56:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Floyd", "Edward R.", "" ] ]
quant-ph/9707052
Madjid Aboolhassani
M. Abolhasani & M. Golshani
Born's principle and Action-Reaction problem
Latex file, 9 pages, some extra explanation have been omitted
null
null
IPM-97-202
quant-ph
null
In a recent paper, A.Valentini tried to obtain Born's principle as a result of a subquantum heat death, using classical H-theorem and the definition of a proper quantum H-theorem within the framwork of Bohm's theory. In this paper, we shall show the possibility of solving the problem of action-reaction asymmetry present in Bohm's theory by modifying Valentini's procedure. However, we get his main result too.
[ { "version": "v1", "created": "Mon, 28 Jul 1997 12:38:57 GMT" }, { "version": "v2", "created": "Mon, 12 Jan 1998 06:36:42 GMT" } ]
2008-02-03T00:00:00
[ [ "Abolhasani", "M.", "" ], [ "Golshani", "M.", "" ] ]
quant-ph/9707053
Jim McElwaine
Jim McElwaine
Approximate Consistency and Prediction Algorithms in Quantum Mechanics
176 pages, 11 figures, 19 programs
Ph.D. Thesis, Cambridge (1996)
null
null
quant-ph
null
This dissertation investigates questions arising in the consistent histories formulation of the quantum mechanics of closed systems. Various criteria for approximate consistency are analysed. The connection between the Dowker-Halliwell criterion and sphere packing problems is shown and used to prove several new bounds on the violation of probability sum rules. The quantum Zeno effect is also analysed within the consistent histories formalism and used to demonstrate some of the difficulties involved in discussing approximate consistency. The complications associated with null histories and infinite sets are briefly discussed. The possibility of using the properties of the Schmidt decomposition to define an algorithm which selects a single, physically natural, consistent set for pure initial density matrices is investigated. The problems that arise are explained, and different possible algorithms discussed. Their properties are analysed with the aid of simple models. A set of computer programs is described which apply the algorithms to more complicated examples. Another algorithm is proposed that selects the consistent set (formed using Schmidt projections) with the highest Shannon information. This is applied to a simple model and shown to produce physically sensible histories. The theory is capable of unconditional probabilistic prediction for closed quantum systems, and is strong enough to be falsifiable. Ideas on applying the theory to more complicated examples are discussed.
[ { "version": "v1", "created": "Tue, 29 Jul 1997 07:05:00 GMT" } ]
2007-05-23T00:00:00
[ [ "McElwaine", "Jim", "" ] ]
quant-ph/9707054
Dmitri S. Kilin
D. Kilin and M. Schreiber
Decoherence for phase-sensitive relaxation
The correspondent poster was presented on DPC-97. The poster is available at http://www.tu-chemnitz.de/~kilin/publist.html
null
null
null
quant-ph
null
The linear and quadratic interactions of an impurity vibrational mode coupled with a heat bath are investigated with a non-Markovian equation of motion for the reduced density matrix valid for the initial, intermediate and kinetic stages of relaxation. The evolution of the superpositional states is considered for all cases.
[ { "version": "v1", "created": "Tue, 29 Jul 1997 21:02:10 GMT" }, { "version": "v2", "created": "Tue, 2 Mar 1999 10:40:02 GMT" } ]
2008-02-03T00:00:00
[ [ "Kilin", "D.", "" ], [ "Schreiber", "M.", "" ] ]
quant-ph/9707055
Peter Nattermann
W. Luecke and P. Nattermann
Nonlinear Quantum Mechanics and Locality
10 pages, no figures, also available on http://www.pt.tu-clausthal.de/preprints/asi-tpa/012-97.html
null
null
ASI-TPA/12/97
quant-ph
null
It is shown that, in order to avoid unacceptable nonlocal effects, the free parameters of the general Doebner-Goldin equation have to be chosen such that this nonlinear Schr\"odinger equation becomes Galilean covariant.
[ { "version": "v1", "created": "Wed, 30 Jul 1997 07:49:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Luecke", "W.", "" ], [ "Nattermann", "P.", "" ] ]
quant-ph/9707056
Schneider
Jean Schneider (CNRS- Observatoire de Paris)
Time and the Mind/Body Problem: A Quantum Perspective
17 Pages, Latex, no figures. Invited conference at the `Psycho- analysis and Physics' Meeting, New York, December 1996. In press in American Imago. Also at http://www.obspm.fr/departement/darc/schneider/qm.html
null
null
null
quant-ph
null
The Semiotic Interpretation (SI) of QM pushes further the Von Neumann point of view that `experience only makes statements of this type: an observer has made a certain observation; and never any like this: a physical quantity has a certain value.' The supposition that the observables of a system `possess' objective values is purely idealistic. According to the SI view, the state- vector collapse cannot result from the Schroedinger evolution of a system (even with its environment), but only from the empirical production of a mathematical symbol, irreducible to the quantum level. The production of a symbol always takes some time. Thus the state-vector collapse cannot be instantaneous (Schneider 1994), a specific prediction of the present model. From this interpretation of Quantum Mechanics, the appearances of the body are the result of state-vector collapses of several types, i.e. the production of different kinds of symbols. In fact the universe of symbols is very rich: a symbol can have a conceptual `value' (like in physics and then give rise to a measurement), or other qualitative values (like in many human behaviors). In the latter case, the Semiotic Interpretation of QM gives a way to understand how a mental representation can modify the state of the body.
[ { "version": "v1", "created": "Wed, 30 Jul 1997 09:42:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Schneider", "Jean", "", "CNRS- Observatoire de Paris" ] ]
quant-ph/9707057
null
T. Csorgo and J. Zimanyi
Brooding over Pion Lasers
LaTeX, 6 pages, no figures . Talk given by T. Csorgo at the Fifth International Conference on Squeezed States and Uncertainty Relations, Balatonfured, Hungary, May 27-31, 1997. (NASA Conference Publication Series, ed. J. Janszky, Y.S. Kim and V. I. Man'ko, to appear)
Proc. FICSSUR'97, NASA/CP-1998-206855 p. 573
null
null
quant-ph
null
Brooding over pions, wave packets and Bose-Einstein correlations, we present a recently obtained analytical solution to a pion laser model, which may describe the final state of pions in high energy heavy ion collisions.
[ { "version": "v1", "created": "Thu, 31 Jul 1997 11:43:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Csorgo", "T.", "" ], [ "Zimanyi", "J.", "" ] ]
quant-ph/9707058
S. A. Gardiner
S. A. Gardiner, J. I. Cirac, and P. Zoller
Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
4 pages RevTeX, 4 eps figures, in TAR file. Minor corrections, revised refernces
Phys.Rev.Lett.79:4790-4793,1997; Erratum-ibid.80:2968,1998
10.1103/PhysRevLett.79.4790
null
quant-ph
null
We propose an experimental configuration, within an ion trap, by which a quantum mechanical delta-kicked harmonic oscillator could be realized, and investigated. We show how to directly measure the sensitivity of the ion motion to small variations in the external parameters.
[ { "version": "v1", "created": "Thu, 31 Jul 1997 11:53:33 GMT" }, { "version": "v2", "created": "Thu, 18 Dec 1997 18:40:57 GMT" } ]
2014-11-18T00:00:00
[ [ "Gardiner", "S. A.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9707059
Andreas Fring
A. Fring, V. Kostrykin and R. Schrader
Ionization Probabilities through ultra-intense Fields in the extreme Limit
16 pages LateX, 2 figures
J.Phys.A30:8599-8610,1997
10.1088/0305-4470/30/24/020
SfB-288 Preprint No.224, Berlin
quant-ph physics.atom-ph
null
We continue our investigation concerning the question of whether atomic bound states begin to stabilize in the ultra-intense field limit. The pulses considered are essentially arbitrary, but we distinguish between three situations. First the total classical momentum transfer is non-vanishing, second not both the total classical momentum transfer and the total classical displacement are vanishing together with the requirement that the potential has a finite number of bound states and third both the total classical momentum transfer and the total classical displacement are vanishing. For the first two cases we rigorously prove, that the ionization probability tends to one when the amplitude of the pulse tends to infinity and the pulse shape remains fixed. In the third case the limit is strictly smaller than one. This case is also related to the high frequency limit considered by Gavrila et al.
[ { "version": "v1", "created": "Thu, 31 Jul 1997 15:17:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Fring", "A.", "" ], [ "Kostrykin", "V.", "" ], [ "Schrader", "R.", "" ] ]
quant-ph/9707060
Lev Vaidman
Lev Vaidman and Ori Belkind
Strict Bounds on Franson Inequality
3 pages, LaTeX
null
10.1103/PhysRevA.57.1583
null
quant-ph
null
An inequality, recently proposed by Franson [Phys. Rev. A 54, 3808 (1996)] is analyzed and improved. The inequality connects the change of the expectation value of an observable with the uncertainty of this observable. A strict bound on the ratio between these two quantities is obtained.
[ { "version": "v1", "created": "Thu, 31 Jul 1997 17:46:44 GMT" } ]
2009-10-30T00:00:00
[ [ "Vaidman", "Lev", "" ], [ "Belkind", "Ori", "" ] ]
quant-ph/9708001
Karl-Peter Marzlin
Karl-Peter Marzlin and J"urgen Audretsch
Collapse and revival of ultracold atoms in a microwave cavity and of photons in parametric down-conversion
5 pages, RevTeX, 3 figures
Phys.Rev. A57 (1998) 1333
10.1103/PhysRevA.57.1333
null
quant-ph
null
We present a new theoretical method to study a trapped gas of bosonic two-level atoms interacting with a single mode of a microwave cavity. This interaction is described by a trilinear Hamiltonian which is formally completely equivalent to the one describing parametric down-conversion in quantum optics. A system of differential equations describing the evolution, including the long-time behaviour, of not only the mean value but also the variance of the number of excited atoms is derived and solved analytically. For different initial states the mean number of excited atoms exhibits periodically reappearing dips, with an accompanying peak in the variance, or fractional collapses and revivals. Closed expressions for the period and the revival time are obtained.
[ { "version": "v1", "created": "Fri, 1 Aug 1997 01:16:21 GMT" } ]
2009-10-30T00:00:00
[ [ "Marzlin", "Karl-Peter", "" ], [ "Audretsch", "J\"urgen", "" ] ]
quant-ph/9708002
Kurt Jacobs
S. Bose, K. Jacobs and P. L. Knight
Preparation of Nonclassical States in Cavities with a Moving Mirror
13 pages, 18 eps figures included in tar file, revtex, multicol, to appear in Phys. Rev. A
Phys.Rev.A56:4175-4186,1997
10.1103/PhysRevA.56.4175
null
quant-ph
null
We describe how a quantum system composed of a cavity field interacting with a movable mirror can be utilized to generate a large variety of nonclassical states of both the cavity field and the mirror. First we consider state preparation of the cavity field. The system dynamics will prepare a single mode of the cavity field in a multicomponent Schr\"{o}dinger cat state, in a similar manner to that in a Kerr medium. In addition, when two or more cavity modes interact with the mirror, they may be prepared in an entangled state which may be regarded as a multimode generalisation of even and odd coherent states. We show also that near-number states of a single mode may be prepared by performing a measurement of the position of the mirror. Secondly we consider state preparation of the mirror, and show that this macroscopic object may be placed in a Scr\"{o}dinger cat state by a quadrature measurement of the light field. In addition we examine the effect of the damping of the motion of the mirror on the field states inside the cavity, and compare this with the effect of cavity field damping.
[ { "version": "v1", "created": "Fri, 1 Aug 1997 14:40:09 GMT" } ]
2008-12-18T00:00:00
[ [ "Bose", "S.", "" ], [ "Jacobs", "K.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9708003
Dr N. Mavromatos
N.E. Mavromatos and D.V. Nanopoulos
On Quantum Mechanical Aspects of Microtubules
26 pages LATEX (minor typos corrected no effect on conclusions)
null
10.1142/S0217979298000326
ACT-12/97, CTP-TAMU-33/97, OUTP-97-37P
quant-ph cond-mat
null
We discuss possible quantum mechanical aspects of MicroTubules (MT), based on recent developments in quantum physics.We focus on potential mechanisms for `energy-loss-free' transport along the microtubules, which could be considered as realizations of Fr\"ohlich's ideas on the r\^ole of solitons for superconductivity and/or biological matter. By representing the MT arrangements as cavities,we present a novel scenario on the formation of macroscopic (or mesoscopic) quantum-coherent states, as a result of the (quantum-electromagnetic) interactions of the MT dimers with the surrounding molecules of the ordered water in the interior of the MT cylinders. We suggest specific experiments to test the above-conjectured quantum nature of the microtubular arrangements inside the cell. These experiments are similar in nature to those in atomic physics, used in the detection of the Rabi-Vacuum coupling between coherent cavity modes and atoms. Our conjecture is that a similar Rabi-Vacuum-splitting phenomenon occurs in the MT case.
[ { "version": "v1", "created": "Fri, 1 Aug 1997 14:42:14 GMT" }, { "version": "v2", "created": "Mon, 11 Aug 1997 10:29:50 GMT" } ]
2009-10-30T00:00:00
[ [ "Mavromatos", "N. E.", "" ], [ "Nanopoulos", "D. V.", "" ] ]
quant-ph/9708004
Sougato Bose
S.Bose, V.Vedral and P.L.Knight
A Multiparticle Generalization of Entanglement Swapping
9 pages revtex, 7 eps figures
Phys.Rev.A57:822,1998
10.1103/PhysRevA.57.822
null
quant-ph
null
We generalize the procedure of entanglement swapping to obtain a scheme for manipulating entanglement in multiparticle systems. We describe how this scheme allows to establish multiparticle entanglement between particles belonging to distant users in a communication network through a prior distribution of singlets followed by only local measurements. We show that this scheme can be regarded as a method of generating entangled states of many particles and compare it with existing schemes using simple quantum computational networks. We highlight the practical advantages of using a series of entanglement swappings during the distribution of entangled particles between two parties. Applications of multiparticle entangled states in cryptographic conferencing and in reading messages from more than one source through a single measurement are also described.
[ { "version": "v1", "created": "Fri, 1 Aug 1997 16:08:49 GMT" } ]
2008-12-30T00:00:00
[ [ "Bose", "S.", "" ], [ "Vedral", "V.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9708005
Jinsoo Kim
Dong Pyo Chi and Jinsoo Kim
Quantum Database Searching by a Single Query
5 pages, LaTeX2e
Quantum Computing and Quantum Communications, First NASA International Conference, selected papers, QCQC'98, C. P. Williams Ed. (Palm Springs, California, USA, February 17-20, 1998), Lecture Notes in Computer Science, Vol. 1509, pp. 148-151, Springer-Verlag, 1999; "Quantum Database Search with Certainty by a Single Query", Chaos, Solitons, and Fractals 10 (1999), 1689-1693.
null
null
quant-ph
null
In this paper we give a quantum mechanical algorithm that can search a database by a single query, when the number of solutions is more than a quarter. It utilizes modified Grover operator of arbitrary phase.
[ { "version": "v1", "created": "Sun, 3 Aug 1997 05:22:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Chi", "Dong Pyo", "" ], [ "Kim", "Jinsoo", "" ] ]
quant-ph/9708006
null
M. Asakawa and T. Csorgo
Two-mode squeezed states in high energy physics
LaTeX, 5 pages, 1 figure, uses sprocl.sty . Substantially revised version, eq. (9) and Fig. 1 corrected. Talk given by T. Csorgo at the Strong and Electroweak Matter'97 Conference, Eger, Hungary, May 21-25, 1997. (World Scientific, Singapore, ed. F. Csikor et al, to appear)
Proc. SEWM'97 (WSCI 1998 ed. F. Csikor et al) p 332
null
null
quant-ph hep-ph nucl-th
null
We discuss the possibility to observe hadron modification in hot and dense matter via the correlation of identical particles. We find that a modification of hadronic masses in medium leads to two-mode squeezing which signals itself in a back-to-back correlations of hadrons. This effect leads to a signal of a shift of $\phi$-meson mass.
[ { "version": "v1", "created": "Sun, 3 Aug 1997 18:29:02 GMT" }, { "version": "v2", "created": "Mon, 18 Aug 1997 20:47:30 GMT" } ]
2008-02-03T00:00:00
[ [ "Asakawa", "M.", "" ], [ "Csorgo", "T.", "" ] ]
quant-ph/9708007
Edward R. Floyd
Edward R. Floyd
Reflection time and the Goos-H\"anchen effect for reflection by a semi-infinite rectangular barrier
12 Pages LaTeX 2.09. No figures. Final revision conforms to galley page proofs. Minor revisions. To be Published in Found. Phys. Lett. Key words: reflection time, tunnelling time, dwell time, Goos-H\"anchen, trajectory representation, microstates
Found.Phys.Lett. 13 (2000) 235-251
null
null
quant-ph
null
The reflection time, during which a particle is in the classically forbidden region, is described by the trajectory representation for reflection by a semi-infinite rectangular barrier. The Schr\"odinger wave function has microstates for such reflection. The reflection time is a function of the microstate. For oblique reflection, the Goos-H\"anchen displacement is also a function of the microstate. For a square well duct, we develop a proposed test where consistent overdetermination of the trajectory by a redundant set of observed constants of the motion would be beyond the Copenhagen interpretation.
[ { "version": "v1", "created": "Sun, 3 Aug 1997 15:36:18 GMT" }, { "version": "v2", "created": "Sat, 3 Oct 1998 20:58:41 GMT" }, { "version": "v3", "created": "Wed, 10 May 2000 03:49:42 GMT" } ]
2008-02-03T00:00:00
[ [ "Floyd", "Edward R.", "" ] ]
quant-ph/9708008
Joerg Steinbach
J. Steinbach, J.Twamley, and P.L. Knight
Engineering two-mode interactions in ion traps
12 pages, 5 figures, to appear in PRA
null
10.1103/PhysRevA.56.4815
null
quant-ph
null
We describe how two vibrational degrees of freedom of a single trapped ion can be coupled through the action of suitably-chosen laser excitation. We concentrate on a two-dimensional ion trap with dissimilar vibrational frequencies in the x- and y-directions of motion, and derive from first principles a variety of quantized two-mode couplings, concentrating on a linear coupling which takes excitations from one mode to another. We demonstrate how this can result in a state rotation, in which it is possible to transfer the motional state of the ion from say the x-direction to the y-direction without prior knowledge of that motional state.
[ { "version": "v1", "created": "Mon, 4 Aug 1997 11:24:55 GMT" } ]
2009-10-30T00:00:00
[ [ "Steinbach", "J.", "" ], [ "Twamley", "J.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9708009
Anna Sanpera
R. Dum, A. Sanpera, K.-A. Suominen, M. Brewczyk, M. Kus, K. Rzcazewski, and M. Lewenstein
Wave packet dynamics with Bose-Einstein condensates
4 pages RevTex, 3 figures
Phys.Rev.Lett.80:3899-3902,1998
10.1103/PhysRevLett.80.3899
null
quant-ph
null
We study wave packet dynamics of a Bose condensate in a periodically shaken trap. Dichotomy, that is, dynamic splitting of the condensate, and dynamic stabilization are analyzed in analogy with similar phenomena in the domain of atoms in strong laser fields.
[ { "version": "v1", "created": "Tue, 5 Aug 1997 12:32:04 GMT" } ]
2009-01-23T00:00:00
[ [ "Dum", "R.", "" ], [ "Sanpera", "A.", "" ], [ "Suominen", "K. -A.", "" ], [ "Brewczyk", "M.", "" ], [ "Kus", "M.", "" ], [ "Rzcazewski", "K.", "" ], [ "Lewenstein", "M.", "" ] ]
quant-ph/9708010
Pushan Majumdar
Pushan Majumdar, H. S. Sharatchandra
Coherent states for the hydrogen atom
9 pages, 2 figures, minor change in language and journal reference added
Phys. Rev. A56 (1997) R3322
10.1103/PhysRevA.56.R3322
imsc/97/08/33
quant-ph
null
We construct wave packets for the hydrogen atom labelled by the classical action-angle variables with the following properties. i) The time evolution is exactly given by classical evolution of the angle variables. (The angle variable corresponding to the position on the orbit is now non-compact and we do not get exactly the same state after one period. However the gross features do not change. In particular the wave packet remains peaked around the labels.) ii) Resolution of identity using this overcomplete set involves exactly the classical phase space measure. iii) Semi-classical limit is related to Bohr-Sommerfield quantization. iv) They are almost minimum uncertainty wave packets in position and momentum.
[ { "version": "v1", "created": "Tue, 5 Aug 1997 20:30:21 GMT" }, { "version": "v2", "created": "Fri, 10 Apr 1998 16:35:18 GMT" } ]
2009-10-30T00:00:00
[ [ "Majumdar", "Pushan", "" ], [ "Sharatchandra", "H. S.", "" ] ]
quant-ph/9708011
null
M. Rigo, F. Mota-Furtado, P. F. O'Mahony
Continuous stochastic Schrodinger equations and localization
18 pages in LaTeX + 6 figures (postscript), uses ioplppt.sty. To appear in J. Phys. A
J.Phys.A30:7557-7571,1997
10.1088/0305-4470/30/21/026
null
quant-ph
null
The set of continuous norm-preserving stochastic Schrodinger equations associated with the Lindblad master equation is introduced. This set is used to describe the localization properties of the state vector toward eigenstates of the environment operator. Particular focus is placed on determining the stochastic equation which exhibits the highest rate of localization for wide open systems. An equation having such a property is proposed in the case of a single non-hermitian environment operator. This result is relevant to numerical simulations of quantum trajectories where localization properties are used to reduce the number of basis states needed to represent the system state, and thereby increase the speed of calculation.
[ { "version": "v1", "created": "Wed, 6 Aug 1997 18:31:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Rigo", "M.", "" ], [ "Mota-Furtado", "F.", "" ], [ "O'Mahony", "P. F.", "" ] ]
quant-ph/9708012
Michael Martin Nieto
Michael Martin Nieto
The Discovery of Squeezed States - In 1927
6 pages, LaTeX, to be published in the Procxeedings of the 5th International Conference on Squeezed States and Uncertainty Relations
null
null
LA-UR-97-2760
quant-ph physics.hist-ph
null
I first review a) the flowering of coherent states in the 1960's, yet b) the discovery of coherent states in 1926, and c) the flowering of squeezed states in the 1970's and 1980's. Then, with the background of the excitement over the then new quantum mechanics, I describe d) the discovery of squeezed states in 1927.
[ { "version": "v1", "created": "Wed, 6 Aug 1997 20:19:11 GMT" } ]
2008-02-03T00:00:00
[ [ "Nieto", "Michael Martin", "" ] ]
quant-ph/9708013
Scutaru Horia
Horia Scutaru
Fidelity for displaced squeezed states and the oscillator semigroup
3 pages, REVTEX, no figures, submitted to Journal of Physics A, May 5, 1997
J.Phys.A31:3659-3663,1998
10.1088/0305-4470/31/15/025
FT-428-May 5-1997
quant-ph
null
The fidelity for two displaced squeezed thermal states is computed using the fact that the corresponding density operators belong to the oscillator semigroup.
[ { "version": "v1", "created": "Thu, 7 Aug 1997 10:38:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Scutaru", "Horia", "" ] ]
quant-ph/9708014
Steck
H. Steck, M. Naraschewski, H. Wallis
Output of a pulsed atom laser
4 pages, RevTeX. Full ps file available on http://mpqibmr1.mpq.mpg.de:5000/~man/
Phys.Rev.Lett.80:1-5,1998
10.1103/PhysRevLett.80.1
null
quant-ph cond-mat.stat-mech physics.atom-ph
null
We study the output properties of a pulsed atom laser consisting of an interacting Bose-Einstein condensate (BEC) in a magnetic trap and an additional rf field transferring atoms to an untrapped Zeeman sublevel. For weak output coupling we calculate the dynamics of the decaying condensate population, of its chemical potential and the velocity of the output atoms analytically.
[ { "version": "v1", "created": "Thu, 7 Aug 1997 14:53:56 GMT" }, { "version": "v2", "created": "Fri, 8 Aug 1997 09:12:03 GMT" } ]
2009-01-23T00:00:00
[ [ "Steck", "H.", "" ], [ "Naraschewski", "M.", "" ], [ "Wallis", "H.", "" ] ]
quant-ph/9708015
Michal Horodecki
Michal Horodecki and Pawel Horodecki
Reduction criterion of separability and limits for a class of protocols of entanglement distillation
RevTeX, 13 pages, rewritten to more readable form, some details added
null
null
null
quant-ph
null
We analyse the problem of distillation of entanglement of mixed states in higher dimensional compound systems. Employing the positive maps method [M. Horodecki et al., Phys. Lett. A 223 1 (1996)] we introduce and analyse a criterion of separability which relates the structures of the total density matrix and its reductions. We show that any state violating the criterion can be distilled by suitable generalization of the two-qubit protocol which distills any inseparable two-qubit state. Conversely, all the states which can be distilled by such a protocol must violate the criterion. The proof involves construction of the family of states which are invariant under transformation $\varrho\to U\otimes U^*\varrho U^\dagger\otimes U^{*\dagger}$ where $U$ is a unitary transformation and star denotes complex conjugation. The states are related to the depolarizing channel generalized to non-binary case.
[ { "version": "v1", "created": "Thu, 7 Aug 1997 13:01:50 GMT" }, { "version": "v2", "created": "Fri, 6 Feb 1998 15:53:58 GMT" }, { "version": "v3", "created": "Thu, 9 Apr 1998 14:21:04 GMT" } ]
2008-02-03T00:00:00
[ [ "Horodecki", "Michal", "" ], [ "Horodecki", "Pawel", "" ] ]
quant-ph/9708016
Richard Cleve
Richard Cleve, Artur Ekert, Chiara Macchiavello, and Michele Mosca
Quantum Algorithms Revisited
18 pages, LaTeX, 7 figures. Submitted to Proc. Roy. Soc. Lond. A
null
10.1098/rspa.1998.0164
null
quant-ph
null
Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. A common pattern underpinning quantum algorithms can be identified when quantum computation is viewed as multi-particle interference. We use this approach to review (and improve) some of the existing quantum algorithms and to show how they are related to different instances of quantum phase estimation. We provide an explicit algorithm for generating any prescribed interference pattern with an arbitrary precision.
[ { "version": "v1", "created": "Fri, 8 Aug 1997 17:56:53 GMT" } ]
2009-10-30T00:00:00
[ [ "Cleve", "Richard", "" ], [ "Ekert", "Artur", "" ], [ "Macchiavello", "Chiara", "" ], [ "Mosca", "Michele", "" ] ]
quant-ph/9708017
M. Dakna
T. Opatrny, M. Dakna, and D.-G. Welsch
Exponential Moments of Canonical Phase: Homodyne Measurements
Presented at the 5-th International Conference on Squeezed States and Uncertainty Relations (4 ps-figures)
null
null
null
quant-ph
null
A method for direct sampling of the exponential moments of canonical phase from the data recorded in balanced homodyne detection is presented. Analytical expressions for the sampling functions are shown which are valid for arbitrary states. A numerical simulation illustrates the applicability of the method and compares it with the direct measurement of phase by means of double homodyning.
[ { "version": "v1", "created": "Sat, 9 Aug 1997 14:40:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Opatrny", "T.", "" ], [ "Dakna", "M.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/9708018
M. Dakna
D.-G. Welsch, M. Dakna, L. Knoll, and T. Opatrny
Photon adding and subtracting and Schroedinger-cat generation in conditional output measurement on a beam splitter
Presented at the 5-th International Conference on Squeezed States and Uncertainty Relations (4 ps-figures)
null
null
null
quant-ph
null
The problem of photon adding and subtracting is studied, using conditional output measurement on a beam splitter. It is shown that for various classes of states the corresponding photon-added and -subtracted states can be prepared. Analytical results are presented, with special emphasis on photon-added and -subtracted squeezed vacuum states, which are found to represent two different types of Schroedinger-cat-like states. Effects of realistic photocounting and Fock-state preparation are discussed.
[ { "version": "v1", "created": "Sat, 9 Aug 1997 14:57:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Welsch", "D. -G.", "" ], [ "Dakna", "M.", "" ], [ "Knoll", "L.", "" ], [ "Opatrny", "T.", "" ] ]
quant-ph/9708019
Richard Cleve
Richard Cleve (U of Calgary), Wim van Dam (U of Oxford and CWI), Michael Nielsen (Los Alamos National Laboratory and U of New Mexico), Alain Tapp (U de Montreal)
Quantum Entanglement and the Communication Complexity of the Inner Product Function
14 pages, LaTeX w/ llncs style, no figures, made changes in notation in order to be consistent with other papers. To appear in Proceedings of the 1st NASA International Conference on Quantum Computing and Quantum Communications (Springer-Verlag)
Lect.Notes Comput.Sci. 1509 (1998) 61-74
null
null
quant-ph
null
We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of particles in an entangled quantum state. We prove linear lower bounds for both exact protocols, as well as for protocols that determine the answer with bounded-error probability. Our proofs employ a novel kind of "quantum" reduction from a quantum information theory problem to the problem of computing the inner product. The communication required for the former problem can then be bounded by an application of Holevo's theorem. We also give a specific example of a probabilistic scenario where entanglement reduces the communication complexity of the inner product function by one bit.
[ { "version": "v1", "created": "Mon, 11 Aug 1997 03:22:05 GMT" }, { "version": "v2", "created": "Thu, 12 Feb 1998 01:20:06 GMT" }, { "version": "v3", "created": "Thu, 12 Mar 1998 01:16:20 GMT" } ]
2008-02-03T00:00:00
[ [ "Cleve", "Richard", "", "U of Calgary" ], [ "van Dam", "Wim", "", "U of Oxford and CWI" ], [ "Nielsen", "Michael", "", "Los Alamos National Laboratory and U of New Mexico" ], [ "Tapp", "Alain", "", "U de Montreal" ] ]
quant-ph/9708020
Alan Kostelecky
Alan Kostelecky and Neil Russell
Analytical Models for Valence Fermions in Isotropic Traps
accepted for publication in Physics Letters A
Phys.Lett.A235:305,1997
10.1016/S0375-9601(97)00631-2
IUHET 352, December 1996
quant-ph
null
For isotropic confining Ioffe-Pritchard or TOP potentials, a valence fermion trapped with a closed core of other fermions can be described by an analytical effective one-particle model with a physical eigenspectrum. Related constructions exist for Paul and Penning traps. The analytical models arise from quantum-mechanical supersymmetry.
[ { "version": "v1", "created": "Mon, 11 Aug 1997 18:47:14 GMT" } ]
2009-09-25T00:00:00
[ [ "Kostelecky", "Alan", "" ], [ "Russell", "Neil", "" ] ]
quant-ph/9708021
Andrew Steane
Andrew Steane (Clarendon Laboratory, Oxford University)
Space, time, parallelism and noise requirements for reliable quantum computing
LaTeX, 9 pages plus 6 figures
Fortsch.Phys. 46 (1998) 443-458
10.1002/(SICI)1521-3978(199806)46:4/5<443::AID-PROP443>3.0.CO;2-8
null
quant-ph
null
Quantum error correction methods use processing power to combat noise. The noise level which can be tolerated in a fault-tolerant method is therefore a function of the computational resources available, especially the size of computer and degree of parallelism. I present an analysis of error correction with block codes, made fault-tolerant through the use of prepared ancilla blocks. The preparation and verification of the ancillas is described in detail. It is shown that the ancillas need only be verified against a small set of errors. This, combined with previously known advantages, makes this `ancilla factory' the best method to apply error correction, whether in concatenated or block coding. I then consider the resources required to achieve $2 \times 10^{10}$ computational steps reliably in a computer of 2150 logical qubits, finding that the simplest $[[n,1,d]]$ block codes can tolerate more noise with smaller overheads than the $7^L$-bit concatenated code. The scaling is such that block codes remain the better choice for all computations one is likely to contemplate.
[ { "version": "v1", "created": "Tue, 12 Aug 1997 13:12:16 GMT" } ]
2015-06-26T00:00:00
[ [ "Steane", "Andrew", "", "Clarendon Laboratory, Oxford University" ] ]
quant-ph/9708022
Andrew Steane
Andrew Steane (Clarendon Laboratory, Oxford University)
Quantum Computing
This is a review for Reports on Progress in Physics, at a level suitable for physicists new to the subject, such as graduate students. 52 pages LaTeX plus 14 encapsulated PostScript figures. Replaced version corrects minor errors and omissions, and improves some notations
Rept.Prog.Phys.61:117-173,1998
10.1088/0034-4885/61/2/002
null
quant-ph
null
The subject of quantum computing brings together ideas from classical information theory, computer science, and quantum physics. This review aims to summarise not just quantum computing, but the whole subject of quantum information theory. It turns out that information theory and quantum mechanics fit together very well. In order to explain their relationship, the review begins with an introduction to classical information theory and computer science, including Shannon's theorem, error correcting codes, Turing machines and computational complexity. The principles of quantum mechanics are then outlined, and the EPR experiment described. The EPR-Bell correlations, and quantum entanglement in general, form the essential new ingredient which distinguishes quantum from classical information theory, and, arguably, quantum from classical physics. Basic quantum information ideas are described, including key distribution, teleportation, data compression, quantum error correction, the universal quantum computer and quantum algorithms. The common theme of all these ideas is the use of quantum entanglement as a computational resource. Experimental methods for small quantum processors are briefly sketched, concentrating on ion traps, high Q cavities, and NMR. The review concludes with an outline of the main features of quantum information physics, and avenues for future research.
[ { "version": "v1", "created": "Tue, 12 Aug 1997 13:21:47 GMT" }, { "version": "v2", "created": "Wed, 24 Sep 1997 13:24:19 GMT" } ]
2011-07-19T00:00:00
[ [ "Steane", "Andrew", "", "Clarendon Laboratory, Oxford University" ] ]
quant-ph/9708023
Hiroki Saito
Hiroki Saito and Masahito Ueda
Quantum-Controlled Few-Photon State Generated by Squeezed Atoms
5 pages, RevTex, uses eclepsf.sty. The change is only one sentence referring to Ref.[4,7]. Accepted for publication in Physical Review Letters
Phys.Rev.Lett.79:3869,1997
10.1103/PhysRevLett.79.3869
null
quant-ph physics.optics
null
General principles and experimental schemes for generating a desired few-photon state from an aggregate of squeezed atoms are presented. Quantum-statistical information of the collective atomic dipole is found to be faithfully transferred to the photon state even in a few-photon regime. The controllability of few-photon states is shown to increase with increasing the number of squeezed atoms.
[ { "version": "v1", "created": "Wed, 13 Aug 1997 13:41:23 GMT" }, { "version": "v2", "created": "Mon, 22 Sep 1997 12:04:22 GMT" } ]
2009-01-23T00:00:00
[ [ "Saito", "Hiroki", "" ], [ "Ueda", "Masahito", "" ] ]
quant-ph/9708024
Bronius Kaulakys
B. Kaulakys and V. Gontis (ITPA, Vilnius, Lithuania)
Quantum anti-Zeno effect
12 pages with 2 figures
Phys.Rev.A56:1131-1137,1997
10.1103/PhysRevA.56.1131
null
quant-ph chao-dyn nlin.CD
null
Prevention of a quantum system's time evolution by repetitive, frequent measurements of the system's state has been called the quantum Zeno effect (or paradox). Here we investigate theoretically and numerically the effect of repeated measurements on the quantum dynamics of the multilevel systems that exhibit the quantum localization of the classical chaos. The analysis is based on the wave function and Schroedinger equation, without introduction of the density matrix. We show how the quantum Zeno effect in simple few-level systems can be recovered and understood by formal modeling the measurement effect on the dynamics by randomizing the phases of the measured states. Further the similar analysis is extended to investigate of the dynamics of multilevel systems driven by an intense external force and affected by frequent measurement. We show that frequent measurements of such quantum systems results in the delocalization of the quantum suppression of the classical chaos. This result is the opposite of the quantum Zeno effect. The phenomenon of delocalization of the quantum suppression and restoration of the classical-like time evolution of these quasiclassical systems, owing to repetitive frequent measurements, can therefore be called the 'quantum anti-Zeno effect'. From this analysis we furthermore conclude that frequently or continuously observable quasiclassical systems evolve basically in a classical manner.
[ { "version": "v1", "created": "Wed, 13 Aug 1997 15:45:30 GMT" } ]
2011-08-04T00:00:00
[ [ "Kaulakys", "B.", "", "ITPA, Vilnius, Lithuania" ], [ "Gontis", "V.", "", "ITPA, Vilnius, Lithuania" ] ]
quant-ph/9708025
Dmitri Fedorov
E. Nielsen, D. V. Fedorov and A. S. Jensen (IFA, Aarhus University, Aarhus, Denmark)
Three-Body Halos in Two Dimensions
9 pages, 2 postscript figures, LaTeX, epsf.sty
Phys.Rev. A56 (1997) 3287
10.1103/PhysRevA.56.3287
null
quant-ph
null
A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Borromean systems are shown to exist in two dimensions for a certain class of potentials. An extensive numerical investigation shows that a weakly bound two-body state gives rise to two weakly bound three-body states, a reminiscence of the Efimov effect in three dimensions. The properties of these two states in the weak binding limit turn out to be universal. PACS number(s): 03.65.Ge, 21.45.+v, 31.15.Ja, 02.60Nm
[ { "version": "v1", "created": "Wed, 13 Aug 1997 15:07:25 GMT" } ]
2009-10-30T00:00:00
[ [ "Nielsen", "E.", "", "IFA, Aarhus University,\n Aarhus, Denmark" ], [ "Fedorov", "D. V.", "", "IFA, Aarhus University,\n Aarhus, Denmark" ], [ "Jensen", "A. S.", "", "IFA, Aarhus University,\n Aarhus, Denmark" ] ]
quant-ph/9708026
Ned Lynne Floyd
Edward R. Floyd
Which causality? Differences between the trajectory and Copenhagen analyses of an impulsive perturbation
12 pages of LaTeX 2.09. No figures. Errata [Int. J. Mod. Phys. A16 (2001) 2447] appended to end. The errata strengthen the findings. Key words: causality, hidden variables, trajectory interpretation, Copenhagen interpretation, interpretations of quantum mechanics, impulse perturbations
Int.J.Mod.Phys. A14 (1999) 1111-1124
10.1142/S0217751X99000555
null
quant-ph
null
The trajectory and Copenhagen representations render different predictions for impulse perturbations. The different predictions are due to the different roles that causality plays in the trajectory and Copenhagen interpretations. We investigate a small perturbing impulse acting on the ground state of an infinitely deep square well. For the two representations, the first-order perturbation calculations for the temporal change in energy differ. This temporal change in energy for the trajectory representation is dependent upon the microstate of the wave function. We show that even under Copenhagen epistemology, the two representations predict different theoretical results.
[ { "version": "v1", "created": "Wed, 13 Aug 1997 16:21:13 GMT" }, { "version": "v2", "created": "Wed, 11 Feb 1998 01:28:36 GMT" }, { "version": "v3", "created": "Sat, 17 Oct 1998 15:21:53 GMT" }, { "version": "v4", "created": "Sat, 6 Feb 1999 14:31:42 GMT" }, { "version": "v5", "created": "Thu, 6 Mar 2003 04:53:47 GMT" } ]
2009-10-30T00:00:00
[ [ "Floyd", "Edward R.", "" ] ]
quant-ph/9708027
Georg Junker
Georg Junker, John R. Klauder
Coherent-state quantization of constrained fermion systems
LaTeX 2e, Springer macro pljour2, 11 pages, to appear in Z. Phys. C
Eur.Phys.J.C4:173-183,1998
10.1007/s100520050195
null
quant-ph hep-th
null
The quantization of systems with first- and second-class constraints within the coherent-state path-integral approach is extended to quantum systems with fermionic degrees of freedom. As in the bosonic case the importance of path-integral measures for Lagrange multipliers, which in this case are in general expected to be elements of a Grassmann algebra, is emphasized. Several examples with first- and second-class constraints are discussed.
[ { "version": "v1", "created": "Thu, 14 Aug 1997 14:00:04 GMT" } ]
2011-09-13T00:00:00
[ [ "Junker", "Georg", "" ], [ "Klauder", "John R.", "" ] ]
quant-ph/9708028
Robert B. Griffiths
Robert B. Griffiths
Choice of Consistent Family, and Quantum Incompatibility
Minor revisions to bring into conformity with published version. Revtex 29 pages including 1 page with figures
Phys.Rev. A57 (1998) 1604
10.1103/PhysRevA.57.1604
null
quant-ph
null
In consistent history quantum theory, a description of the time development of a quantum system requires choosing a framework or consistent family, and then calculating probabilities for the different histories which it contains. It is argued that the framework is chosen by the physicist constructing a description of a quantum system on the basis of questions he wishes to address, in a manner analogous to choosing a coarse graining of the phase space in classical statistical mechanics. The choice of framework is not determined by some law of nature, though it is limited by quantum incompatibility, a concept which is discussed using a two-dimensional Hilbert space (spin half particle). Thus certain questions of physical interest can only be addressed using frameworks in which they make (quantum mechanical) sense. The physicist's choice does not influence reality, nor does the presence of choices render the theory subjective. On the contrary, predictions of the theory can, in principle, be verified by experimental measurements. These considerations are used to address various criticisms and possible misunderstandings of the consistent history approach, including its predictive power, whether it requires a new logic, whether it can be interpreted realistically, the nature of ``quasiclassicality'', and the possibility of ``contrary'' inferences.
[ { "version": "v1", "created": "Thu, 14 Aug 1997 18:43:41 GMT" }, { "version": "v2", "created": "Thu, 31 Dec 1998 15:22:32 GMT" } ]
2009-10-30T00:00:00
[ [ "Griffiths", "Robert B.", "" ] ]
quant-ph/9708029
M. Czachor
Marek Czachor and Maciej Kuna (Politechnika Gdanska)
Complete positivity of nonlinear evolution: A case study
extended version, 3 appendices added (on mixed states, projection postulate, nonlocality), to be published in Phys. Rev. A
Phys.Rev. A58 (1998) 128
10.1103/PhysRevA.58.128
null
quant-ph chao-dyn funct-an hep-th math.FA nlin.CD
null
Simple Hartree-type equations lead to dynamics of a subsystem that is not completely positive in the sense accepted in mathematical literature. In the linear case this would imply that negative probabilities have to appear for some system that contains the subsystem in question. In the nonlinear case this does not happen because the mathematical definition is physically unfitting as shown on a concrete example.
[ { "version": "v1", "created": "Fri, 15 Aug 1997 16:18:51 GMT" }, { "version": "v2", "created": "Thu, 27 Nov 1997 11:03:55 GMT" }, { "version": "v3", "created": "Tue, 7 Apr 1998 17:56:40 GMT" } ]
2009-10-30T00:00:00
[ [ "Czachor", "Marek", "", "Politechnika Gdanska" ], [ "Kuna", "Maciej", "", "Politechnika Gdanska" ] ]
quant-ph/9708030
Soren Bay
Soren Bay, P. Lambropoulos and K. Molmer
Fluorescence into flat and structured radiation continua: An atomic density matrix without a master equation
4 pages, 4 figures. To appear in Phys. Rev. Lett
null
10.1103/PhysRevLett.79.2654
null
quant-ph
null
We investigate an atomic $\Lambda$-system with one transition coupled to a laser field and a flat continuum of vacuum modes and the other transition coupled to field modes near the edge of a photonic band gap. The system requires simultaneous treatment of Markovian and non-Markovian dissipation processes, but the photonic band gap continuum can not be eliminated within a density matrix treatment. Instead we propose a formalism based on Monte-Carlo wavefunctions, and we present results relevant to an experimental characterization of a structured continuum.
[ { "version": "v1", "created": "Sun, 17 Aug 1997 13:09:41 GMT" } ]
2009-10-30T00:00:00
[ [ "Bay", "Soren", "" ], [ "Lambropoulos", "P.", "" ], [ "Molmer", "K.", "" ] ]
quant-ph/9708031
Holger Hofmann
Holger F. Hofmann, Ortwin Hess and Guenter Mahler
Quantum control by compensation of quantum fluctuations
5 pages RevTex and 2 figures, to be published in Optics Express
Optics Express 2, 339 (1998)
10.1364/OE.2.000339
null
quant-ph physics.atom-ph physics.optics
null
We show that the influence of quantum fluctuations in the electromagnetic field vacuum on a two level atom can be measured and consequently compensated by balanced homodyne detection and a coherent feedback field. This compensation suppresses the decoherence associated with spontaneous emission for a specific state of the atomic system allowing complete control of the coherent state of the system.
[ { "version": "v1", "created": "Tue, 19 Aug 1997 09:38:46 GMT" }, { "version": "v2", "created": "Wed, 1 Apr 1998 09:49:53 GMT" } ]
2015-06-26T00:00:00
[ [ "Hofmann", "Holger F.", "" ], [ "Hess", "Ortwin", "" ], [ "Mahler", "Guenter", "" ] ]
quant-ph/9708032
Steven van Enk
S.J. van Enk, J.I. Cirac, P. Zoller
Purifying two-bit quantum gates and joint measurements in cavity QED
4 pages RevTeX, 2 figures included
null
10.1103/PhysRevLett.79.5178
null
quant-ph
null
Using a cavity QED setup we show how to implement a particular joint measurement on two atoms in a fault tolerant way. Based on this scheme, we illustrate how to realize quantum communication over a noisy channel when local operations are subject to errors. We also present a scheme to perform and purify a universal two-bit gate.
[ { "version": "v1", "created": "Tue, 19 Aug 1997 16:31:53 GMT" } ]
2009-10-30T00:00:00
[ [ "van Enk", "S. J.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9708033
Marcos Protopapas
M. Protopapas, D.G. Lappas and P.L. Knight
Strong Field Ionization in Arbitrary Laser Polarizations
10 pages, Revtex, 5 figures (2 gif, 3 eps)
null
10.1103/PhysRevLett.79.4550
null
quant-ph
null
We present a numerical method for investigating the non-perturbative quantum mechanical interaction of light with atoms in two dimensions, without a basis expansion. This enables us to investigate intense laser-atom interactions with light of arbitrary polarization without approximation. Results are presented for the dependence of ionization and high harmonic generation on ellipticity seen in recent experiments. Strong evidence of stabilization in circular polarization is found.
[ { "version": "v1", "created": "Wed, 20 Aug 1997 15:07:34 GMT" } ]
2009-10-30T00:00:00
[ [ "Protopapas", "M.", "" ], [ "Lappas", "D. G.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9708034
Avi Marhavka
A. Marchewka and Z. Schuss
Feynman Integrals with Absorbing Boundaries
4 pages, revtex
Phys.Lett. A240 (1998) 177-184
10.1016/S0375-9601(98)00107-8
TAUP-2401-96
quant-ph cond-mat
null
We propose a formulation of an absorbing boundary for a quantum particle. The formulation is based on a Feynman-type integral over trajectories that are confined to the non-absorbing region. Trajectories that reach the absorbing wall are discounted from the population of the surviving trajectories with a certain weighting factor. Under the assumption that absorbed trajectories do not interfere with the surviving trajectories, we obtain a time dependent absorption law. Two examples are worked out.
[ { "version": "v1", "created": "Thu, 21 Aug 1997 10:08:54 GMT" } ]
2009-10-30T00:00:00
[ [ "Marchewka", "A.", "" ], [ "Schuss", "Z.", "" ] ]
quant-ph/9708035
Dr. Luca Salasnich, . D.
Luca Salasnich and Fabio Sattin
SWKB for the Angular Momentum
latex, 9 pages, no figures, to be published in Modern Physics Letters B
null
10.1142/S0217984997000992
null
quant-ph
null
In this paper we solve the eigenvalue problem of the angular momentum operator by using the supersymmetric semiclassical quantum mechanics (SWKB), and show that it gives the correct quantization already at the leading order.
[ { "version": "v1", "created": "Fri, 22 Aug 1997 11:47:22 GMT" } ]
2015-06-26T00:00:00
[ [ "Salasnich", "Luca", "" ], [ "Sattin", "Fabio", "" ] ]
quant-ph/9708036
Dr. Luca Salasnich, . D.
Luca Salasnich and Fabio Sattin
On the Convergence of the WKB Series for the Angular Momentum Operator
latex, 9 pages, no figures, to be published in Journal of Physics A: Math. and Gen
J.Phys.A30:7597-7602,1997
10.1088/0305-4470/30/21/028
null
quant-ph
null
In this paper we prove a recent conjecture [Robnik M and Salasnich L 1997 J. Phys. A: Math. Gen. 30 1719] about the convergence of the WKB series for the angular momentum operator. We demonstrate that the WKB algorithm for the angular momentum gives the exact quantization formula if all orders are summed.
[ { "version": "v1", "created": "Fri, 22 Aug 1997 11:47:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Salasnich", "Luca", "" ], [ "Sattin", "Fabio", "" ] ]
quant-ph/9708037
R. Simon
R. Simon and N. Mukunda
Moments of the Wigner Distribution and a Generalized Uncertainty Principle
REVTex, no figures, 9 pages
null
null
null
quant-ph
null
The nonnegativity of the density operator of a state is faithfully coded in its Wigner distribution, and this places constraints on the moments of the Wigner distribution. These constraints are presented in a canonically invariant form which is both concise and explicit. Since the conventional uncertainty principle is such a constraint on the first and second moments, our result constitutes a generalization of the same to all orders. Possible application in quantum state reconstruction using optical homodyne tomography is noted.
[ { "version": "v1", "created": "Fri, 22 Aug 1997 12:37:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Simon", "R.", "" ], [ "Mukunda", "N.", "" ] ]
quant-ph/9708038
Arvind
R. Simon and Mary Selvadoray and Arvind and N. Mukunda
Nonclassicality and the concept of local constraints on the photon number distribution
Five pages in revtex with one ps figure included using epsf
null
null
null
quant-ph
null
We exploit results from the classical Stieltjes moment problem to bring out the totality of all the information regarding phase insensitive nonclassicality of a state as captured by the photon number distribution p_n. Central to our approach is the realization that n !p_n constitutes the sequence of moments of a (quasi) probability distribution, notwithstanding the fact that p_n can by itself be regarded as a probability distribution. This leads to classicality restrictions on p_n that are local in n involving p_n's for only a small number of consecutive n's, enabling a critical examination of the conjecture that oscillation in p_n is a signature of nonclassicality.
[ { "version": "v1", "created": "Sat, 23 Aug 1997 04:16:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Simon", "R.", "" ], [ "Selvadoray", "Mary", "" ], [ "Arvind", "", "" ], [ "Mukunda", "N.", "" ] ]
quant-ph/9708039
M. Dakna
M. Dakna, T. Opatrny, and D. G. Welsch
Homodyne measurement of exponential phase moments
6 figures (divided in subfigures) using a4.sty
null
10.1016/S0030-4018(97)00701-3
null
quant-ph
null
It is shown that the exponential moments of the canonical phase can be directly sampled from the data recorded in balanced homodyne detection. Analytical expressions for the sampling functions are derived, which are valid for arbitrary states and bridge the gap between quantum and classical phase. The reconstruction of the canonical phase distribution from the experimentally determined exponential moments is discussed.
[ { "version": "v1", "created": "Sat, 23 Aug 1997 12:45:20 GMT" } ]
2009-10-30T00:00:00
[ [ "Dakna", "M.", "" ], [ "Opatrny", "T.", "" ], [ "Welsch", "D. G.", "" ] ]
quant-ph/9708040
null
H. Bechmann-Pasquinucci, B. Huttner, N. Gisin
Nonlinear quantum state transformation of spin-1/2
12 pages, LaTeX, amssym, epsfig (2 figures included)
Phys.Lett. A242 (1998) 198-204
10.1016/S0375-9601(98)00189-3
null
quant-ph
null
A non-linear quantum state transformation is presented. The transformation, which operates on pairs of spin-1/2, can be used to distinguish optimally between two non-orthogonal states. Similar transformations applied locally on each component of an entangled pair of spin-1/2 can be used to transform a mixed nonlocal state into a quasi-pure maximally entangled singlet state. In both cases the transformation makes use of the basic building block of the quantum computer, namely the quantum-XOR gate.
[ { "version": "v1", "created": "Sat, 23 Aug 1997 16:56:58 GMT" } ]
2009-10-30T00:00:00
[ [ "Bechmann-Pasquinucci", "H.", "" ], [ "Huttner", "B.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/9708041
Funahasi
Kazuyuki Fujii and Kunio Funahashi
Extension of the Barut-Girardello Coherent State and Path Integral II
latex, no figure, 14 pages
J.Math.Phys. 38 (1997) 4422-4434
10.1063/1.532134
null
quant-ph
null
We have constructed the coherent state of $U(N,1)$, which is an extension of the Barut-Girardello (BG) coherent state of $SU(1,1)$, in our previous paper. However there is a restriction that the eigenvalue of the Casimir operator is natural number. In this paper we construct the coherent state in the analytic representation to overcome this restriction. Next we show that the measure of the BG coherent state is not the symplectic induced measure.
[ { "version": "v1", "created": "Mon, 25 Aug 1997 08:16:54 GMT" } ]
2009-10-30T00:00:00
[ [ "Fujii", "Kazuyuki", "" ], [ "Funahashi", "Kunio", "" ] ]
quant-ph/9708042
Paolo Zanardi
P. Zanardi (1,2), ((1) ISI Foundation, Villa Gualino, Torino (2) INFM, Politecnico di Torino)
Dissipative dynamics in a quantum register
to appear on Phys. Rev. A, 8 pages + 5 postscript figures
Phys.Rev.A56:4445,1997
10.1103/PhysRevA.56.4445
null
quant-ph
null
A model for a quantum register dissipatively coupled with a bosonic thermal bath is studied. The register consists of $N$ qubits (i.e. spin ${1/2}$ degrees of freedom), the bath is described by $N_b$ bosonic modes. The register-bath coupling is chosen in such a way that the total number of excitations is conserved. The Hilbert space splits allowing the study of the dynamics separately in each sector. Assuming that the coupling with the bath is the same for all qubits, the excitation sectors have a further decomposition according the irreducible representations of the $su(2)$ spin algebra. The stability against environment-generated noise of the information encoded in a quantum state of the register depends on its $su(2)$ symmetry content. At zero temperature we find that states belonging to the vacuum symmetry sector have for long time vanishing fidelity, whereas each lowest spin vector is decoupled from the bath and therefore is decoherence free. Numerical results are shown in the one-excitation space in the case qubit-dependent bath-system coupling.
[ { "version": "v1", "created": "Mon, 25 Aug 1997 12:43:45 GMT" } ]
2011-08-04T00:00:00
[ [ "Zanardi", "P.", "" ] ]
quant-ph/9708043
Benni Reznik
Y. Aharonov, T. Kaufherr, S. Popescu, B. Reznik
Quantum Measurement Back-Reaction and Induced Toplogical Phases
7 pages, Latex. Revised article. A detailed description of the regime of validity has been added. To appear in Phys. Rev. Lett
Phys.Rev.Lett. 80 (1998) 2023-2026
10.1103/PhysRevLett.80.2023
LAUR-97-1588
quant-ph
null
It is shown that a topological vector-potential (Berry phase) is induced by the act of measuring angular momentum in a direction defined by a reference particle. This vector potential appears as a consequence of the back-reaction due to the quantum measurement.
[ { "version": "v1", "created": "Mon, 25 Aug 1997 18:28:44 GMT" }, { "version": "v2", "created": "Thu, 29 Jan 1998 18:33:35 GMT" } ]
2009-10-30T00:00:00
[ [ "Aharonov", "Y.", "" ], [ "Kaufherr", "T.", "" ], [ "Popescu", "S.", "" ], [ "Reznik", "B.", "" ] ]
quant-ph/9708044
Gyula Bene
Gyula Bene (Institute for Solid State Physics, Eo"tvo"s University, Budapest)
Explanation of the violation of Bell's inequality by maintaining Einstein separability
4 pages, RevTeX
null
null
null
quant-ph
null
A new interpretation offers a consistent conceptual basis for nonrelativistic quantum mechanics. The violation of Bell's inequality is explained by maintaining realism, inductive inference and Einstein separability.
[ { "version": "v1", "created": "Tue, 26 Aug 1997 19:45:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Bene", "Gyula", "", "Institute for Solid State Physics, Eo\"tvo\"s University,\n Budapest" ] ]
quant-ph/9708045
Gyula Bene
Gyula Bene (Institute for Solid State Physics, Eo"tvo"s University, Budapest)
On the solution of the EPR paradox and the explanation of the violation of Bell's inequality
17 pages, LaTeX
null
null
null
quant-ph
null
A new interpretation offers a consistent conceptual basis for nonrelativistic quantum mechanics. The Einstein-Podolsky-Rosen (EPR) paradox is solved and the violation of Bell's inequality is explained by maintaining realism, inductive inference and Einstein separability.
[ { "version": "v1", "created": "Wed, 27 Aug 1997 08:14:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Bene", "Gyula", "", "Institute for Solid State Physics, Eo\"tvo\"s University,\n Budapest" ] ]
quant-ph/9708046
Alexander S. Holevo
A.S.Holevo (Steklov Mathematical Institute)
Coding Theorems for Quantum Communication Channels
15 pages, Latex, no figures
null
null
null
quant-ph
null
The more than thirty years old issue of the information capacity of quantum communication channels was dramatically clarified during the last period, when a number of direct quantum coding theorems was discovered. To considerable extent this progress is due to an interplay between the quantum communication theory and quantum information ideas related to more recent development in quantum computing. It is remarkable, however, that many probabilistic tools underlying the treatment of quantum case have their roots, and in some cases direct prototypes, in classical Shannon's theory. This paper presents an outline of some basic ideas and results in that direction.
[ { "version": "v1", "created": "Wed, 27 Aug 1997 10:33:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Holevo", "A. S.", "", "Steklov Mathematical Institute" ] ]
quant-ph/9708047
Johann Summhammer
Johann Summhammer (Atominstitut, A-1020 Vienna, Austria)
Factoring and Fourier Transformation with a Mach-Zehnder Interferometer
5 pages, 2 postscript figures; to appear in Phys.Rev.A, Nov. 1997; Figures contained only in replaced version
null
10.1103/PhysRevA.56.4324
null
quant-ph
null
The scheme of Clauser and Dowling (Phys. Rev. A 53, 4587 (1996)) for factoring $N$ by means of an N-slit interference experiment is translated into an experiment with a single Mach-Zehnder interferometer. With dispersive phase shifters the ratio of the coherence length to wavelength limits the numbers that can be factored. A conservative estimate permits $N \approx 10^7$. It is furthermore shown, that sine and cosine Fourier coefficients of a real periodic function can be obtained with such an interferometer.
[ { "version": "v1", "created": "Wed, 27 Aug 1997 14:56:17 GMT" }, { "version": "v2", "created": "Fri, 29 Aug 1997 15:05:50 GMT" } ]
2009-10-30T00:00:00
[ [ "Summhammer", "Johann", "", "Atominstitut, A-1020 Vienna, Austria" ] ]
quant-ph/9708048
Johann Summhammer
Meinrad Hafner(1) and Johann Summhammer(2) ((1) Institute of Astronomy, University of Vienna; (2) Atominstitut, Vienna, Austria)
Experiment on Interaction-Free Measurement in Neutron Interferometry
8 pages, 4 postscript figures; submitted to Phys.Lett.A; Figures contained only in replaced version
null
10.1016/S0375-9601(97)00696-8
null
quant-ph
null
A neutron interferometric test of interaction-free detection of the presence of an absorbing object in one arm of a neutron interferometer has been performed. Despite deviations from the ideal performance characteristics of a Mach-Zehnder interferometer it could be shown that information is obtained without interaction.
[ { "version": "v1", "created": "Wed, 27 Aug 1997 14:57:32 GMT" }, { "version": "v2", "created": "Fri, 29 Aug 1997 15:03:56 GMT" } ]
2009-10-30T00:00:00
[ [ "Hafner", "Meinrad", "" ], [ "Summhammer", "Johann", "" ] ]
quant-ph/9708049
Richard MacKenzie
S. Chaturvedi, R. MacKenzie, P.K. Panigrahi, V. Srinivasan
Equivalence of the grand canonical partition functions of particles with different statistics
4 pages
Mod.Phys.Lett. A12 (1997) 1095-1099
10.1142/S0217732397001114
UdeM-GPP-TH-39a
quant-ph
null
It is shown that the grand partition function of an ideal Bose system with single particle spectrum $\epsilon_i = (2n+k+3/2)\hbar\omega$ is identical to that of a system of particles with single particle energy $\epsilon_i =(n+1/2)\hbar\omega$ and obeying a particular kind of statistics based on the permutation group.
[ { "version": "v1", "created": "Wed, 27 Aug 1997 16:27:13 GMT" } ]
2015-06-26T00:00:00
[ [ "Chaturvedi", "S.", "" ], [ "MacKenzie", "R.", "" ], [ "Panigrahi", "P. K.", "" ], [ "Srinivasan", "V.", "" ] ]
quant-ph/9708050
Daniel F. V. James
R. J. Hughes, D. F. V. James, J. J. Gomez, M. S. Gulley, M. H. Holzscheiter, P. G. Kwiat, S. K. Lamoreaux, C. G. Peterson, V. D. Sandberg, M. M. Schauer, C. M. Simmons, C. E. Thorburn, D. Tupa, P. Z. Wang, A. G. White
The Los Alamos Trapped Ion Quantum Computer Experiment
41 pages, 16 figures, submitted to Fortschritte der Physik
Fortschritte der Physik 46, 329-362 (1998)
10.1002/(SICI)1521-3978(199806)46:4/5<329::AID-PROP329>3.0.CO;2-X
LA-UR-97-3301
quant-ph
null
The development and theory of an experiment to investigate quantum computation with trapped calcium ions is described. The ion trap, laser and ion requirements are determined, and the parameters required for quantum logic operations as well as simple quantum factoring are described.
[ { "version": "v1", "created": "Wed, 27 Aug 1997 23:45:15 GMT" } ]
2015-06-26T00:00:00
[ [ "Hughes", "R. J.", "" ], [ "James", "D. F. V.", "" ], [ "Gomez", "J. J.", "" ], [ "Gulley", "M. S.", "" ], [ "Holzscheiter", "M. H.", "" ], [ "Kwiat", "P. G.", "" ], [ "Lamoreaux", "S. K.", "" ], [ "Peterson", "C. G.", "" ], [ "Sandberg", "V. D.", "" ], [ "Schauer", "M. M.", "" ], [ "Simmons", "C. M.", "" ], [ "Thorburn", "C. E.", "" ], [ "Tupa", "D.", "" ], [ "Wang", "P. Z.", "" ], [ "White", "A. G.", "" ] ]