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quant-ph/9911085
Sergio de Filippo
Sergio De Filippo
Withdrawn paper
Only craziness I am ashamed about
null
null
null
quant-ph nucl-th
null
Only craziness I am ashamed about.
[ { "version": "v1", "created": "Thu, 18 Nov 1999 22:36:18 GMT" }, { "version": "v2", "created": "Wed, 24 Nov 1999 21:27:00 GMT" }, { "version": "v3", "created": "Fri, 3 Dec 1999 21:44:44 GMT" }, { "version": "v4", "created": "Sun, 19 Dec 1999 16:49:26 GMT" }, { "version": "v5", "created": "Mon, 26 Sep 2011 16:42:06 GMT" } ]
2011-09-27T00:00:00
[ [ "De Filippo", "Sergio", "" ] ]
quant-ph/9911086
Anthony Chefles
Anthony Chefles
Deterministic Quantum State Transformations
Minor cosmetic changes
null
10.1016/S0375-9601(00)00291-7
null
quant-ph
null
We derive a necessary condition for the existence of a completely-positive, linear, trace-preserving map which deterministically transforms one finite set of pure quantum states into another. This condition is also sufficient for linearly-independent initial states. We also examine the issue of quantum coherence, that is, when such operations maintain the purity of superpositions. If, in any deterministic transformation from one linearly-independent set to another, even a single, complete superposition of the initial states maintains its purity, the initial and final states are related by a unitary transformation.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 13:39:50 GMT" }, { "version": "v2", "created": "Wed, 8 Dec 1999 17:11:47 GMT" }, { "version": "v3", "created": "Tue, 7 Mar 2000 14:59:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Chefles", "Anthony", "" ] ]
quant-ph/9911087
Alexander Shumovsky
Alexander S. Shumovsky and Alexander A. Klyachko
Radiation of a quantum localized source
4pages
null
null
null
quant-ph
null
New effective operators, describing the photons with given polarization at given position with respect to a source are proposed. These operators can be used to construct the near and intermediate zones quantum optics. It is shown that the use of the conventional plane photons can lead to a wrong results for quantum fluctuations of polarization even in the far zone.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 15:40:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Shumovsky", "Alexander S.", "" ], [ "Klyachko", "Alexander A.", "" ] ]
quant-ph/9911088
Inigo L. Egusquiza
A. D. Baute, I. L. Egusquiza, J. G. Muga and R. Sala-Mayato
Time-of-arrival distributions from position-momentum and energy-time joint measurements
null
Phys. Rev. A 61, 052111 (2000)
10.1103/PhysRevA.61.052111
EHU-FT/9913
quant-ph
null
The position-momentum quasi-distribution obtained from an Arthurs and Kelly joint measurement model is used to obtain indirectly an ``operational'' time-of-arrival (TOA) distribution following a quantization procedure proposed by Kocha\'nski and W\'odkiewicz [Phys. Rev. A 60, 2689 (1999)]. This TOA distribution is not time covariant. The procedure is generalized by using other phase-space quasi-distributions, and sufficient conditions are provided for time covariance that limit the possible phase-space quasi-distributions essentially to the Wigner function, which, however, provides a non-positive TOA quasi-distribution. These problems are remedied with a different quantization procedure which, on the other hand, does not guarantee normalization. Finally an Arthurs and Kelly measurement model for TOA and energy (valid also for arbitrary conjugate variables when one of the variables is bounded from below) is worked out. The marginal TOA distribution so obtained, a distorted version of Kijowski's distribution, is time covariant, positive, and normalized.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 18:47:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Baute", "A. D.", "" ], [ "Egusquiza", "I. L.", "" ], [ "Muga", "J. G.", "" ], [ "Sala-Mayato", "R.", "" ] ]
quant-ph/9911089
Mikhail Sergeenko
M.N. Sergeenko
Quantum fluctuations of the angular momentum and energy of the ground state
5 pages, LaTex
Modern Physics Letters A Vol. 13, No. 01, pp. 33-37 (1998)
10.1142/S0217732398000061
null
quant-ph
null
Quasiclassical solution of the three-dimensional Schredinger's equation is given. The existence of nonzero minimal angular momentum M_0 = \hbar /2 is shown, which corresponds to the quantum fluctuations of the angular momentum and contributes to the energy of the ground state.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 18:22:47 GMT" } ]
2016-02-17T00:00:00
[ [ "Sergeenko", "M. N.", "" ] ]
quant-ph/9911090
Dr. Arun Kumar Pati
Arun Kumar Pati and Samuel L. Braunstein
Impossibility of deleting an unknown quantum state
4 Pages, (Published version Nature, 404 (2000) 164)
Nature, 404: 164 (2000)
10.1038/35004532
null
quant-ph
null
A photon in an arbitrary polarization state cannot be cloned perfectly. But suppose that at our disposal we have several copies of an unknown photon. Is it possible to delete the information content of one or more of these photons by a physical process? Specifically, if two photons are in the same initial polarization state is there a mechanism that produces one photon in the same initial state and the other in some standard polarization state. If this can be done, then one would create a standard blank state onto which one could copy an unknown state approximately, by deterministic cloning or exactly, by probabilistic cloning. This might be useful in quantum computation, where one could store some new information in an already computed state by deleting the old information. Here we show that the linearity of quantum theory does not allow us to delete a copy of an arbitrary quantum state perfectly. Though in a classical computer information can be deleted against a copy, the same task cannot be accomplished with quantum information.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 19:55:36 GMT" }, { "version": "v2", "created": "Mon, 31 Jul 2000 18:01:40 GMT" } ]
2017-05-10T00:00:00
[ [ "Pati", "Arun Kumar", "" ], [ "Braunstein", "Samuel L.", "" ] ]
quant-ph/9911091
Josephine Bolosan
S. Pakvasa, W. Simmons and X. Tata
Relativistic Quantum Computing
8 pages, Latex format, no figures
null
null
UH-511-946-99
quant-ph
null
We present some informal remarks on aspects of relativistic quantum computing.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 23:20:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Pakvasa", "S.", "" ], [ "Simmons", "W.", "" ], [ "Tata", "X.", "" ] ]
quant-ph/9911092
Ilki Kim
Ilki Kim, Guenter Mahler
Quantum chaos in small quantum networks
Accepted for publication in JMO (quantum information special issue, Vol 47), 3 figures
null
10.1080/09500340008244035
null
quant-ph
null
We study a 2-spin quantum Turing architecture, in which discrete local rotations \alpha_m of the Turing head spin alternate with quantum controlled NOT-operations. We show that a single chaotic parameter input \alpha_m leads to a chaotic dynamics in the entire Hilbert space. The instability of periodic orbits on the Turing head and `chaos swapping' onto the Turing tape are demonstrated explicitly as well as exponential parameter sensitivity of the Bures metric.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 03:50:02 GMT" } ]
2015-06-26T00:00:00
[ [ "Kim", "Ilki", "" ], [ "Mahler", "Guenter", "" ] ]
quant-ph/9911093
Michael Martin Nieto
Michael Martin Nieto and D. Rodney Truax
Schr\"odinger equations with time-dependent P^2 and X^2 terms
LaTeX, 21 pages including one table. Minor changes noted and suggested by the referee
null
null
LA-UR-99-219
quant-ph
null
We present some general results for the time-dependent mass Hamiltonian problem with H=-{1/2}e^{-2\nu}\partial_{xx} +h^{(2)}(t)e^{2\nu}x^2. This Hamiltonian corresponds to a time-dependent mass (TM) Schr\"odinger equation with the restriction that there are only P^2 and X^2 terms. We give the specific transformations to a different quantum Schr\"odinger(TQ) equation and to a different time-dependent oscillator (TO) equation. For each Schr\"odinger system, we give the Lie algebra of space-time symmetries and (x,t) representations for number states, coherent states, and squeezed states. These general results include earlier work as special cases.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 04:07:05 GMT" }, { "version": "v2", "created": "Tue, 22 Feb 2000 03:38:50 GMT" }, { "version": "v3", "created": "Mon, 21 Jan 2002 04:32:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]
quant-ph/9911094
Michael Martin Nieto
Michael Martin Nieto and D. Rodney Truax
The Schr\"odinger system H=-{1/2}e^{\Upsilon(t-t_o)}\partial_{xx} +\lfrac{1}{2}\omega^2e^{-\Upsilon(t-t_o)}x^2
Latex, 24 pages, including 3 figures and 8 tables. New title and format for journal. Conclusion added
Ann. Phys. 292 (2001) 1
10.1006/aphy.2001.6144
LA-UR-99-482
quant-ph
null
In this paper, we attack the specific time-dependent Hamiltonian problem H=-{1/2}e^{\Upsilon(t-t_o)}\partial_{xx} +\lfrac{1}{2}\omega^2e^{-\Upsilon(t-t_o)}x^2. This corresponds to a time-dependent mass (TM) Schr\"odinger equation. We give the specific transformations to i) the more general quadratic (TQ) Schr\"odinger equation and to ii) a different time-dependent oscillator (TO) equation. For each Schr\"odinger system, we give the Lie algebra of space-time symmetries, the number states, the coherent states, the squeezed-states and the time-dependent <x>, <p>, (\Delta x)^2, (\Delta p)^2, and uncertainty product.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 04:24:51 GMT" }, { "version": "v2", "created": "Tue, 22 Feb 2000 04:04:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]
quant-ph/9911095
Michael Martin Nieto
Michael Martin Nieto and D. Rodney Truax
The Schr\"odinger system H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) \omega^2 (t/t_o)^b x^2
LaTeX, 26 pages, including 3 figures and 13 tables. New title and format for journal. Conclusion added
Ann. Phys. 292 (2001) 23
10.1006/aphy.2001.6145
LA-UR-99-3835
quant-ph
null
We attack the specific time-dependent Hamiltonian problem H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) \omega^2 (t/t_o)^b x^2. This corresponds to a time-dependent mass (TM) Schr\"odinger equation. We give the specific transformations to a different time-dependent quadratic Schr\"odinger equations (TQ) and to a different time-dependent oscillator (TO) equation. For each Schr\"odinger system, we give the Lie algebra of space-time symmetries, the number states, the squeezed-state <x> and <p> (with their classical motion), (\Delta x)^2, (\Delta p)^2, and the uncertainty product.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 04:41:30 GMT" }, { "version": "v2", "created": "Tue, 22 Feb 2000 04:21:51 GMT" }, { "version": "v3", "created": "Mon, 21 Jan 2002 17:39:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]
quant-ph/9911096
Tuck Choy
T.C. Choy
The Van der Waals interaction of the hydrogen molecule - an exact local energy density functional
11 pages, 13 figures and 28 references
Physical Review A vol 62 12506 (2000)
10.1103/PhysRevA.62.012506
null
quant-ph cond-mat.str-el physics.atm-clus physics.chem-ph
null
We verify that the van der Waals interaction and hence all dispersion interactions for the hydrogen molecule given by: W"= -{A/R^6}-{B/R^8}-{C/R^10}- ..., in which R is the internuclear separation, are exactly soluble. The constants A=6.4990267..., B=124.3990835 ... and C=1135.2140398... (in Hartree units) first obtained approximately by Pauling and Beach (PB) [1] using a linear variational method, can be shown to be obtainable to any desired accuracy via our exact solution. In addition we shall show that a local energy density functional can be obtained, whose variational solution rederives the exact solution for this problem. This demonstrates explicitly that a static local density functional theory exists for this system. We conclude with remarks about generalising the method to other hydrogenic systems and also to helium.
[ { "version": "v1", "created": "Mon, 22 Nov 1999 08:42:00 GMT" }, { "version": "v2", "created": "Fri, 26 Nov 1999 03:40:46 GMT" } ]
2011-08-05T00:00:00
[ [ "Choy", "T. C.", "" ] ]
quant-ph/9911097
A. K. Rajagopal
Sumiyoshi Abe (1) and A. K. Rajagopal (2) ((1)College of Science and Technology, Nihon University, Funabashi, Chiba, Japan, (2)Naval Research Laboratory, Washington, D.C.)
Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis
13 pages; This is a thoroughly revised version of the original preprint which has now appearted in print. It also corrects several errors and misstatements in the published version. The main conclusions of the paper however remain intact
Phys. Lett. A272, 341 (2000)
10.1016/S0375-9601(00)00458-8
null
quant-ph cond-mat.stat-mech
null
Given physical systems, counting rule for their statistical mechanical descriptions need not be unique, in general. It is shown that this nonuniqueness leads to the existence of various canonical ensemble theories which equally arise from the definite microcanonical basis. Thus, the Gibbs theorem for canonical ensemble theory is not universal, and the maximum entropy principle is to be appropriately modefied for each physical context.
[ { "version": "v1", "created": "Mon, 22 Nov 1999 12:46:26 GMT" }, { "version": "v2", "created": "Wed, 25 Oct 2000 17:04:22 GMT" } ]
2009-10-31T00:00:00
[ [ "Abe", "Sumiyoshi", "" ], [ "Rajagopal", "A. K.", "" ] ]
quant-ph/9911098
Aurel Bulgac
Aurel Bulgac, Giu Do Dand and Dimitri Kusnezov
Dynamics of Complex Quantum Systems: Dissipation and Kinetic Equations
7 pages, Elsevier style file espcrc2.sty
Physica E9 (2001) 429-435
10.1016/S1386-9477(00)00240-X
null
quant-ph cond-mat.stat-mech nucl-th
null
We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is modeled by means of parametric banded random matrices coupled to the subsystem of interest. We do not assume the weak coupling limit and allow for an independent dynamics of the ``reservoir''. We discuss the reasons for having a new theoretical approach and the new elements introduced by us. The present approach incorporates known limits and previous results, but at the same time includes new cases, previously never derived on a microscopic level. We briefly discuss the kinetic equation and its solution for a particle in the absence of an external field.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 00:22:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Bulgac", "Aurel", "" ], [ "Dand", "Giu Do", "" ], [ "Kusnezov", "Dimitri", "" ] ]
quant-ph/9911099
Alex Moroz
Alexander Moroz
A remark on the isotropic model
3 pages, plain latex. $\eta$ in the LDOS asymptotics near a band-edge is universal in one dimension. For more info on this subject see http://www.amolf.nl/research/photonic_materials_theory/moroz/moroz.html
null
null
null
quant-ph
null
The applicability of the so-called isotropic and anisotropic complete photonic-band-gap (CPBG) models [S. John and J. Wang, Phys. Rev. Lett. {\bf 64}, 2418 (1990)] to capture essential features of the spontaneous emission (SE) of a fluorescent atom or molecule near a band-gap-edge of a CPBG structure is discussed.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 17:05:38 GMT" }, { "version": "v2", "created": "Thu, 10 Feb 2000 15:01:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Moroz", "Alexander", "" ] ]
quant-ph/9911100
David Vitali
R. Bonifacio, S. Olivares, P. Tombesi, and D. Vitali
A model independent approach to non dissipative decoherence
12 pages, 3 figures
Phys. Rev. A 61 053802 (2000)
10.1103/PhysRevA.61.053802
null
quant-ph
null
We consider the case when decoherence is due to the fluctuations of some classical variable or parameter of a system and not to its entanglement with the environment. Under few and quite general assumptions, we derive a model-independent formalism for this non-dissipative decoherence, and we apply it to explain the decoherence observed in some recent experiments in cavity QED and on trapped ions.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 17:38:11 GMT" }, { "version": "v2", "created": "Wed, 24 Nov 1999 12:26:28 GMT" }, { "version": "v3", "created": "Fri, 14 Jan 2000 15:14:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Bonifacio", "R.", "" ], [ "Olivares", "S.", "" ], [ "Tombesi", "P.", "" ], [ "Vitali", "D.", "" ] ]
quant-ph/9911101
Chi-Keung Chow
Chi-Keung Chow and Thomas D. Cohen
Quantum Coins, Dice and Children: Probability and Quantum Statistics
8 pages in REVTeX
Am.J.Phys. 68 (2000) 829-834
10.1119/1.1302821
DOE/ER/40762-187, UMD PP#00-003
quant-ph cond-mat.stat-mech hep-ph nucl-th physics.ed-ph
null
We discuss counterintuitive aspects of probabilities for systems of identical particles obeying quantum statistics. Quantum coins and children (two level systems) and quantum dice (many level systems) are used as examples. It is emphasized that, even in the absence of interactions, (anti)symmetrizations of multi-particle wavefunctions destroy statistical independences and often lead to dramatic departures from our intuitive expectations.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 23:11:25 GMT" }, { "version": "v2", "created": "Mon, 14 Feb 2000 17:18:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Chow", "Chi-Keung", "" ], [ "Cohen", "Thomas D.", "" ] ]
quant-ph/9911102
Akira Shimizu
Akira Shimizu
A Fundamental Limit of Measurement Imposed by the Elementary Interactions
10 pages including 1 figure. Proc. 3rd Tohwa Univ. Int. Conf. Statistical Physics (Fukuoka, Japan, 1999) to be published from AIP
Statistical Physics (ed. M. Tokuyama and H.E. Stanley, AIP 2000) pp. 611-620.
10.1063/1.1291630
null
quant-ph chao-dyn cond-mat.stat-mech nlin.CD
null
Quantum information theory is closely related to quantum measurement theory because one must perform measurement to obtain information on a quantum system. Among many possible limits of quantum measurement, the simplest ones were derived directly from the uncertainty principles. However, such simple limits are not the only limits. I here suggest a new limit which comes from the forms and the strengths of the elementary interactions. Namely, there are only four types of elementary interactions in nature; their forms are determined by the gauge invariance (and symmetry breaking), and their coupling constants (in the low-energy regime) have definite values. I point out that this leads to a new fundamental limit of quantum measurements. Furthermore, this fundamental limit imposes the fundamental limits of getting information on, preparing, and controlling quantum systems.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 06:00:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Shimizu", "Akira", "" ] ]
quant-ph/9911103
Piotr Deuar
P. Deuar and W. J. Munro
Improving Detectors Using Entangling Quantum Copiers
4 pages, 2 figures, REVTeX, to be published in Phys. Rev. A
Phys. Rev A. 61, 10306R, (1999)
10.1103/PhysRevA.61.010306
null
quant-ph
null
We present a detection scheme which using imperfect detectors, and imperfect quantum copying machines (which entangle the copies), allows one to extract more information from an incoming signal, than with the imperfect detectors alone.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 06:29:35 GMT" } ]
2009-10-31T00:00:00
[ [ "Deuar", "P.", "" ], [ "Munro", "W. J.", "" ] ]
quant-ph/9911104
Rajkumar Roychoudhury
B.Bagchi and R.Roychoudhury
A new PT symmetric complex Hamiltonian with a real spectra
null
null
10.1088/0305-4470/33/1/101
null
quant-ph
null
We construct an isospectrum systems in terms of a real and complex potential to show that the underlying PT symmetric Hamiltonian possesses a real spectrum which is shared by its real partner.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 07:26:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Bagchi", "B.", "" ], [ "Roychoudhury", "R.", "" ] ]
quant-ph/9911105
Mayburov S. N.
S.Mayburov (Lebedev Inst. of Physics, Moscow, Russia)
Quantum Information, Irreversibility and State Collapse in Some Microscopic Models of Measurement
15 pages, Latex, Talk given at 'Decoherence and entanglement' Conference, Garda, Italy, September 1999, to appear in Proceedings
null
null
null
quant-ph
null
The quantum measurement problem considered for measuring system (MS) model which consist of measured state S (particle), detector D and information processing device O. For spin chains and other O models the state evolution for MS observables measurements studied. It's shown that specific O states structure forbids the measurement of MS interference terms which discriminate pure and mixed S states. It results in the reduction MS Hilbert space to O representation in which MS evolution is irreversible, which in operational formalism corresponds to S state collapse. In radiation decoherence O model Glauber restrictions on QED field observables results in analogous irreversible MS + field evolution. The results interpretation in Quantum Information framework and Rovelli Relational Quantum Mechanics discussed.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 15:42:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Mayburov", "S.", "", "Lebedev Inst. of Physics, Moscow, Russia" ] ]
quant-ph/9911106
Abel Camacho Quintana
Abel Camacho (Astrophysikalishes Institut Potsdam)
Quantum nondemolition measurements of a particle in an inhomogeneous gravitational field
Contribution in honour of Heinz Dehnen's 65 birthday. 3 new references, minor changes. Accepted in General Relativity and Gravitation
Gen.Rel.Grav. 33 (2001) 901-911
10.1023/A:1010264009752
null
quant-ph gr-qc
null
In this work we obtain a family of quantum nondemolition variables for the case of a particle moving in an inhomogeneous gravitational field. Afterwards, we calculate the corresponding propagator, and deduce the probabilitites associated with the possible measurements outputs. The comparison, with the case in which the position is being monitored, will allow us to find the differences with respect to the case of a quantum demolition measuring process.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 13:03:16 GMT" }, { "version": "v2", "created": "Thu, 15 Jun 2000 13:42:34 GMT" } ]
2015-06-26T00:00:00
[ [ "Camacho", "Abel", "", "Astrophysikalishes Institut Potsdam" ] ]
quant-ph/9911107
Andrei Kirilyuk
Andrei P. Kirilyuk
75 Years of Matter Wave: Louis de Broglie and Renaissance of the Causally Complete Knowledge
28 pages, 25 eqs, 47 refs; Dedicated to the 75th Anniversary of matter wave appearance in the Ph.D. thesis defended by Louis de Broglie in Paris 25 November 1924; Reviews a part of the author's book "Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge" (Kyiv, Naukova Dumka, 1997 ; in English), see physics/9806002; new text format, stylistic corrections in v2
null
null
null
quant-ph physics.hist-ph
null
A physically real wave associated with any moving particle and travelling in a surrounding material medium was introduced by Louis de Broglie in a series of short notes in 1923 and in a more complete form in his thesis defended in Paris on the 25th November 1924. This result, recognised by the Nobel Prize in 1929, gave rise to a major direction of "new physics" known today as "quantum mechanics". However, although such notions as "de Broglie wavelength" and "wave-particle duality" form the basis of the standard quantum theory, it actually only takes for granted (postulates) the formula for the particle wavelength and totally ignores the underlying causal, realistic and physically transparent picture of wave-particle dynamics outlined by Louis de Broglie in his thesis and further considerably developed in his later works, in the form of "double solution" and "hidden thermodynamics" theory. A price to pay for such rough deviation from the original de Broglian realism and consistency involves fundamental physics domination by purely abstract and mechanistically simplified schemes of formal symbols and rules that have led to a deep knowledge impasse justly described as "the end of science". However, a new, independent approach of "quantum field mechanics" (quant-ph/9902015, quant-ph/9902016, physics/0401164) created within the "universal science of complexity" (physics/9806002) provides many-sided confirmation and natural completion of de Broglie's "nonlinear wave mechanics", eliminating all its "difficult points" and reconstituting the causally complete, totally consistent and intrinsically unified picture of the real, complex micro-world dynamics directly extendible to all higher levels of unreduced world complexity.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 14:32:15 GMT" }, { "version": "v2", "created": "Thu, 25 Nov 2004 19:42:43 GMT" } ]
2009-09-25T00:00:00
[ [ "Kirilyuk", "Andrei P.", "" ] ]
quant-ph/9911108
null
Victor Novozhilov and Yuri Novozhilov (St.Petersburg State University)
Collective variables and composite fields
12 pages, Latex, to be published in the Proceedings of the Conference "Probability and Irreversibility in Quantum Mechanics", 5-9 July 1999, Fondation des Treilles, France
null
null
null
quant-ph
null
We consider use of collective variables for description of composite fields as collective phenomena due to the strong coupling regime. We discuss two approaches, where identification of collective variables of complex quantum system does not depend on knowledge of other degrees of freedom: (a) collective variables as parameters of group transformations changing the path integral of the system, and (b) collective variables as background fields for quantum system. In the case (a) we briefly present an approach. In the case (b) we consider fermions in an external scalar field, which serves as a collective variable in a nonlinear model for composite scalar field with a finite compositeness scale.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 16:49:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Novozhilov", "Victor", "", "St.Petersburg State University" ], [ "Novozhilov", "Yuri", "", "St.Petersburg State University" ] ]
quant-ph/9911109
Wolfgang Tittel
W. Tittel, J. Brendel, H. Zbinden, and N. Gisin
Quantum Cryptography using entangled photons in energy-time Bell states
4 pages including 2 figures
null
10.1103/PhysRevLett.84.4737
null
quant-ph
null
We present a setup for quantum cryptography based on photon pairs in energy-time Bell states and show its feasability in a laboratory experiment. Our scheme combines the advantages of using photon pairs instead of faint laser pulses and the possibility to preserve energy-time entanglement over long distances. Moreover, using 4-dimensional energy-time states, no fast random change of bases is required in our setup : Nature itself decides whether to measure in the energy or in the time base.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 18:05:00 GMT" } ]
2009-10-31T00:00:00
[ [ "Tittel", "W.", "" ], [ "Brendel", "J.", "" ], [ "Zbinden", "H.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/9911110
Valeri Dvoeglazov
Valeri V. Dvoeglazov (Zacatecas University)
Comment on the "Maxwell Equations as the One-Photon Quantum Equation" by A. Gersten [Found. Phys. Lett. 12, pp. 291-298 (1999)]
ReVTeX style. 10pp., see quant-ph/9911049
J. Phys. A: Math. Gen. 33 (2000) 5011-5016 (revised version)
10.1088/0305-4470/33/28/305
EFUAZ FT-99-78
quant-ph
null
We show that the Gersten derivation of Maxwell equations can be generalized. It actually leads to additional solutions of `S=1 equations'. They follow directly from previous considerations by Majorana, Oppenheimer, Weinberg and Ogievetskii and Polubarinov. Therefore, {\it generalized} Maxwell equations should be used as a guideline for proper interpretations of quantum theories.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 02:39:06 GMT" } ]
2009-10-31T00:00:00
[ [ "Dvoeglazov", "Valeri V.", "", "Zacatecas University" ] ]
quant-ph/9911111
Giovanna Morigi
G. Morigi, G.S. Agarwal
Temperature Variation of Ultra Slow Light in a Cold Gas
12 pages, 4 figures
Phys. Rev. A 62, 013801 (2000)
10.1103/PhysRevA.62.013801
null
quant-ph
null
A model is developed to explain the temperature dependence of the group velocity as observed in the experiments of Hau et al (Nature {\bf397}, 594 (1999)). The group velocity is quite sensitive to the change in the spatial density. The inhomogeneity in the density and its temperature dependence are primarily responsible for the observed behavior.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 09:21:23 GMT" } ]
2010-03-30T00:00:00
[ [ "Morigi", "G.", "" ], [ "Agarwal", "G. S.", "" ] ]
quant-ph/9911112
Igor Bargatin
I. V. Bargatin, B. A. Grishanin, and V. N. Zadkov
Analysis of radiatively stable entanglement in a system of two dipole-interacting three-level atoms
Replaced with the final version; 14 pages, 6 figures; to appear in Phys. Rev. A, vol. 61 (2000)
null
10.1103/PhysRevA.61.052305
null
quant-ph
null
We explore the possibilities of creating radiatively stable entangled states of two three-level dipole-interacting atoms in a $\Lambda$ configuration by means of laser biharmonic continuous driving or pulses. We propose three schemes for generation of entangled states which involve only the lower states of the $\Lambda$ system, not vulnerable to radiative decay. Two of them employ coherent dynamics to achieve entanglement in the system, whereas the third one uses optical pumping, i.e., an essentially incoherent process.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 13:58:11 GMT" }, { "version": "v2", "created": "Sun, 28 Nov 1999 12:58:58 GMT" }, { "version": "v3", "created": "Thu, 16 Mar 2000 10:54:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Bargatin", "I. V.", "" ], [ "Grishanin", "B. A.", "" ], [ "Zadkov", "V. N.", "" ] ]
quant-ph/9911113
Arkadiusz Jadczyk
Ph. Blanchard, A. Jadczyk, A. Ruschhaupt
How Events Come Into Being: EEQT, Particle Tracks, Quantum Chaos, and Tunneling Time
latex, 27 pages, 7 postscript figures. Paper submitted to Proc. Conference "Mysteries, Puzzles And Paradoxes In Quantum Mechanics, Workshop on Entanglement And Decoherence, Palazzo Feltrinelli, Gargnano, Garda Lake, Italy, 20-25 September, 1999
in "Mysteries, Puzzles and Paradoxes in Quantum Mechanics", Rodolfo Bonifacio, Ed., Woodbury, NY: American Institute of Physics, 1999, [AIP Conference Proceedings, no. 461], J. Mod. Opt. 47 (2000), 2247-2263
10.1080/09500340008235146
null
quant-ph chao-dyn nlin.CD
null
In sections 1 and 2 we review Event Enhanced Quantum Theory (EEQT). In section 3 we discuss applications of EEQT to tunneling time, and compare its quantitative predictions with other approaches, in particular with B\"uttiker-Larmor and Bohm trajectory approach. In section 4 we discuss quantum chaos and quantum fractals resulting from simultaneous continuous monitoring of several non-commuting observables. In particular we show self-similar, non-linear, iterated function system-type, patterns arising from quantum jumps and from the associated Markov operator. Concluding remarks pointing to possible future development of EEQT are given in section 5.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 19:43:55 GMT" } ]
2015-06-26T00:00:00
[ [ "Blanchard", "Ph.", "" ], [ "Jadczyk", "A.", "" ], [ "Ruschhaupt", "A.", "" ] ]
quant-ph/9911114
Xiao-Guang Wang
Xiao-Guang Wang
Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space
19 pages, no figures
J.Opt.BQuant.Semiclass.Opt.2:534-540,2000
10.1088/1464-4266/2/4/312
null
quant-ph
null
We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalisms and have the generally deformed oscillator algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states may also have a generally deformed oscillator algebraic structure. Some interesting examples of one-photon and two-photon quantum states are given.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 02:16:39 GMT" }, { "version": "v2", "created": "Sun, 30 Apr 2000 13:54:56 GMT" } ]
2008-11-26T00:00:00
[ [ "Wang", "Xiao-Guang", "" ] ]
quant-ph/9911115
Bassano Vacchini
L. Lanz, B. Vacchini
Time scales in quantum mechanics by a scattering map
10 pages, latex, no figures
Int.J.Theor.Phys. 37 (1998) 545-553
null
null
quant-ph
null
Inside quantum mechanics the problem of decoherence for an isolated, finite system is linked to a coarse-grained description of its dynamics.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 14:10:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Lanz", "L.", "" ], [ "Vacchini", "B.", "" ] ]
quant-ph/9911116
Miloslav Znojil
M. Znojil
Shape invariant potentials with PT symmetry
version 1: 5 pages, Latex (already published: J. Phys. A: Math. Gen. 33 (2000) L61-2; version 2: 28 pages of a review-type update prepared as a text of a proposed seminar (ATOMKI, Debrecen, presumably this week)
J. Phys. A: Math. Gen. 33 (2000) L61-2
10.1088/0305-4470/33/7/102
null
quant-ph
null
Suitable complexification of the well known solvable oscillators in one dimension is shown to give the four exactly solvable models which combine the shape- and PT-invariance. In version v2 the result is extended of the s-wave shape-invariant forces.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 16:01:15 GMT" }, { "version": "v2", "created": "Mon, 6 Mar 2000 08:18:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Znojil", "M.", "" ] ]
quant-ph/9911117
Barbara M. Terhal
Barbara M. Terhal and Pawel Horodecki
A Schmidt number for density matrices
5 pages RevTex, 1 typo in Proof Lemma 1 corrected
Phys. Rev. A Rapid Communications Vol.61,040301 (2000)
10.1103/PhysRevA.61.040301
null
quant-ph
null
We introduce the notion of a Schmidt number of a bipartite density matrix, characterizing the minimum Schmidt rank of the pure states that are needed to construct the density matrix. We prove that Schmidt number is nonincreasing under local quantum operations and classical communication. We show that $k$-positive maps witness Schmidt number, in the same way that positive maps witness entanglement. We show that the family of states which is made from mixing the completely mixed state and a maximally entangled state have increasing Schmidt number depending on the amount of maximally entangled state that is mixed in. We show that Schmidt number {\it does not necessarily increase} when taking tensor copies of a density matrix $\rho$; we give an example of a density matrix for which the Schmidt numbers of $\rho$ and $\rho \otimes \rho$ are both 2.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 19:05:47 GMT" }, { "version": "v2", "created": "Thu, 2 Dec 1999 17:03:37 GMT" }, { "version": "v3", "created": "Mon, 13 Dec 1999 20:38:17 GMT" }, { "version": "v4", "created": "Mon, 6 Mar 2000 21:51:05 GMT" } ]
2009-10-31T00:00:00
[ [ "Terhal", "Barbara M.", "" ], [ "Horodecki", "Pawel", "" ] ]
quant-ph/9911118
Richard L. Hall
Richard L. Hall and Nasser Saad
Variational analysis for a generalized spiked harmonic oscillator
15 pages, 1 figure
J. Phys. A 33, 569-578 (2000)
10.1088/0305-4470/33/3/310
CUQM-76
quant-ph math-ph math.MP
null
A variational analysis is presented for the generalized spiked harmonic oscillator Hamiltonian operator H, where H = -(d/dx)^2 + Bx^2+ A/x^2 + lambda/x^alpha, and alpha and lambda are real positive parameters. The formalism makes use of a basis provided by exact solutions of Schroedinger's equation for the Gol'dman and Krivchenkov Hamiltonian (alpha = 2), and the corresponding matrix elements that were previously found. For all the discrete eigenvalues the method provides bounds which improve as the dimension of the basis set is increased. Extension to the N-dimensional case in arbitrary angular-momentum subspaces is also presented. By minimizing over the free parameter A, we are able to reduce substantially the number of basis functions needed for a given accuracy.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 19:16:04 GMT" } ]
2009-10-31T00:00:00
[ [ "Hall", "Richard L.", "" ], [ "Saad", "Nasser", "" ] ]
quant-ph/9911119
Martin Plenio
S. Virmani and M. B. Plenio
Ordering States with Entanglement Measures
6 pages, minor changes, references updated, all conclusions unchanged, now accepted for publication
Physics Letters A 268, 31 (2000)
10.1016/S0375-9601(00)00157-2
null
quant-ph
null
We demonstrate that all good asymptotic entanglement measures are either identical or place a different ordering on the set of all quantum states.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 19:18:25 GMT" }, { "version": "v2", "created": "Tue, 29 Feb 2000 18:29:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Virmani", "S.", "" ], [ "Plenio", "M. B.", "" ] ]
quant-ph/9911120
MinXin Huang
Minxin Huang, Yongde Zhang, Guang Hou (University of Science and Technology of China)
Classical Capacity of A Quantum Multiple Access Channel
Latex
Phys. Rev. A, Volume 62, 052106 (2000)
10.1103/PhysRevA.62.052106
null
quant-ph
null
We consider the transmission of classical information over a quantum channel by two senders. The channel capacity region is shown to be a convex hull bound by the Von Neumann entropy and the conditional Von Neumann entropy. We discuss some possible applications of our result. We also show that our scheme allows a reasonable distribution of channel capacity over two senders.
[ { "version": "v1", "created": "Tue, 30 Nov 1999 10:16:36 GMT" }, { "version": "v2", "created": "Mon, 6 Dec 1999 13:20:59 GMT" }, { "version": "v3", "created": "Thu, 9 Dec 1999 07:07:39 GMT" }, { "version": "v4", "created": "Sun, 14 May 2000 03:12:49 GMT" }, { "version": "v5", "created": "Mon, 6 Nov 2000 18:48:51 GMT" } ]
2009-10-31T00:00:00
[ [ "Huang", "Minxin", "", "University of Science and\n Technology of China" ], [ "Zhang", "Yongde", "", "University of Science and\n Technology of China" ], [ "Hou", "Guang", "", "University of Science and\n Technology of China" ] ]
quant-ph/9911121
Ariel Gordon
A. Gordon and J. E. Avron
Born-Oppenheimer Approximation near Level Crossing
8 pages, 1 figure, Letter
Phys. Rev. Let. 85, 34 (2000)
10.1103/PhysRevLett.85.34
null
quant-ph math-ph math.MP physics.chem-ph
null
We consider the Born-Oppenheimer problem near conical intersection in two dimensions. For energies close to the crossing energy we describe the wave function near an isotropic crossing and show that it is related to generalized hypergeometric functions 0F3. This function is to a conical intersection what the Airy function is to a classical turning point. As an application we calculate the anomalous Zeeman shift of vibrational levels near a crossing.
[ { "version": "v1", "created": "Tue, 30 Nov 1999 13:37:00 GMT" }, { "version": "v2", "created": "Sun, 27 Feb 2000 11:00:30 GMT" }, { "version": "v3", "created": "Tue, 2 May 2000 10:03:34 GMT" }, { "version": "v4", "created": "Mon, 29 May 2000 07:22:59 GMT" } ]
2009-10-31T00:00:00
[ [ "Gordon", "A.", "" ], [ "Avron", "J. E.", "" ] ]
quant-ph/9911122
Sergio de Filippo
Sergio De Filippo
Quantum states as generalized classical ensembles
Only craziness I am ashamed about
null
null
null
quant-ph cond-mat.dis-nn hep-th
null
Only craziness I am ashamed about.
[ { "version": "v1", "created": "Tue, 30 Nov 1999 18:29:44 GMT" }, { "version": "v2", "created": "Wed, 1 Dec 1999 10:15:54 GMT" }, { "version": "v3", "created": "Mon, 6 Dec 1999 20:08:24 GMT" }, { "version": "v4", "created": "Sat, 18 Dec 1999 20:35:42 GMT" }, { "version": "v5", "created": "Mon, 26 Sep 2011 17:02:52 GMT" } ]
2011-09-27T00:00:00
[ [ "De Filippo", "Sergio", "" ] ]
quant-ph/9911123
John Henry Reina
John H. Reina (1), Luis Quiroga (2), and Neil F. Johnson (1) ((1) Oxford University, UK, (2) Universidad de los Andes)
Quantum entanglement and information processing via excitons in optically-driven quantum dots
3 separate PostScript Figures + 7 pages. Typos corrected. Minor changes added. This updated version is to appear in PRA
Phys. Rev. A 62, 12305 (2000)
10.1103/PhysRevA.62.012305
null
quant-ph cond-mat.mes-hall
null
We show how optically-driven coupled quantum dots can be used to prepare maximally entangled Bell and Greenberger-Horne-Zeilinger states. Manipulation of the strength and duration of the selective light-pulses needed for producing these highly entangled states provides us with crucial elements for the processing of solid-state based quantum information. Theoretical predictions suggest that several hundred single quantum bit rotations and Controlled-Not gates could be performed before decoherence of the excitonic states takes place.
[ { "version": "v1", "created": "Tue, 30 Nov 1999 18:36:36 GMT" }, { "version": "v2", "created": "Fri, 17 Mar 2000 23:03:40 GMT" } ]
2009-10-31T00:00:00
[ [ "Reina", "John H.", "" ], [ "Quiroga", "Luis", "" ], [ "Johnson", "Neil F.", "" ] ]
quant-ph/9911124
Richard Cleve
Richard Cleve (U of Calgary)
The query complexity of order-finding
9 pages, LaTeX, three figures
null
null
null
quant-ph
null
We consider the problem where P is an unknown permutation on {0,1,...,2^n - 1}, y is an element of {0,1,...,2^n - 1}, and the goal is to determine the minimum r > 0 such that P^r(y) = y (where P^r is P composed with itself r times). Information about P is available only via queries that yield P^x(y) from any x in {0,1,...,2^m - 1} and y in {0,1,...,2^n - 1} (where m is polynomial in n). The main resource under consideration is the number of these queries. We show that the number of queries necessary to solve the problem in the classical probabilistic bounded-error model is exponential in n. This contrasts sharply with the quantum bounded-error model, where a constant number of queries suffices.
[ { "version": "v1", "created": "Tue, 30 Nov 1999 22:42:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Cleve", "Richard", "", "U of Calgary" ] ]
quant-ph/9912001
Lov K. Grover
Lov K. Grover (Bell Labs, Murray Hill NJ)
Rapid sampling through quantum computing
The paper has been rewritten. It is to be presented at STOC '00 in May '00
null
null
null
quant-ph
null
This paper extends the quantum search class of algorithms to the multiple solution case. It is shown that, like the basic search algorithm, these too can be represented as a rotation in an appropriately defined two dimensional vector space. This yields new applications - an algorithm is presented that can create an arbitrarily specified quantum superposition on a space of size N in O(sqrt(N)) steps. By making a measurement on this superposition, it is possible to obtain a sample according to an arbitrarily specified classical probability distribution in O(sqrt(N)) steps. A classical algorithm would need O(N) steps.
[ { "version": "v1", "created": "Wed, 1 Dec 1999 03:14:17 GMT" }, { "version": "v2", "created": "Fri, 18 Feb 2000 17:04:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Grover", "Lov K.", "", "Bell Labs, Murray Hill NJ" ] ]
quant-ph/9912002
Daniel R. Terno
Daniel R.Terno
Comment on `Counterfactual entanglement and non-local correlations in separable states'
RevTeX, 3 pages
Phys. Rev. A 63 (2001) 016101
10.1103/PhysRevA.63.016101
null
quant-ph
null
The arguments of Cohen [Phys. Rev. A {\bf 60}, 80 (1999)] against the `ignorance interpretation' of mixed states are questioned. The physical arguments are shown to be inconsistent and the supporting example illustrates the opposite of the original statement. The operational difference between two possible definitions of mixed states is exposed and the inadequacy of one of them is stressed.
[ { "version": "v1", "created": "Wed, 1 Dec 1999 13:55:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Terno", "Daniel R.", "" ] ]
quant-ph/9912003
Shawn Pethel
C. M. Bowden, and S. D. Pethel
Novel Scheme for Universal Quantum Computation
5 figures
null
null
null
quant-ph
null
A scenario for realization of a quantum computer is proposed consisting of spatially distributed q-bits fabricated in a host structure where nuclear spin-spin coupling is mediated by laser pulse controlled electron-nuclear transferred hyperfine (superhyperfine) Fermi contact interaction. Operations illustrating entanglement, nonlocality, and quantum control logic operations are presented and discussed. The notion of universality of quantum computation is introduced and the irreducible conditions are presented. It is demonstrated that the proposed generic scenario for realization of a quantum computer fulfills these conditions.
[ { "version": "v1", "created": "Wed, 1 Dec 1999 14:56:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Bowden", "C. M.", "" ], [ "Pethel", "S. D.", "" ] ]
quant-ph/9912004
Almut Beige
Almut Beige, Daniel Braun and Peter L. Knight
Driving Atoms Into Decoherence-Free States
12 pages, 3 figures, more detailed version, accepted for publication in New Journal of Physics, see http://www.njp.org/
New J. Phys. 2, 22 (2000)
10.1088/1367-2630/2/1/322
01/12/99
quant-ph
null
We describe the decoherence-free subspace of N atoms in a cavity, in which decoherence due to the leakage of photons through the cavity mirrors is suppressed. We show how the states of the subspace can be entangled with the help of weak laser pulses, using the high decay rate of the cavity field and strong coupling between the atoms and the resonator mode. The atoms remain decoherence-free with a probability which can, in principle, be arbitrarily close to unity.
[ { "version": "v1", "created": "Wed, 1 Dec 1999 16:18:36 GMT" }, { "version": "v2", "created": "Fri, 30 Jun 2000 17:17:17 GMT" } ]
2009-10-31T00:00:00
[ [ "Beige", "Almut", "" ], [ "Braun", "Daniel", "" ], [ "Knight", "Peter L.", "" ] ]
quant-ph/9912005
L. F. Santos
L. F. Santos and C. O. Escobar
Convergences in the Measurement Problem in Quantum Mechanics
7 pages, no figures
null
null
null
quant-ph
null
This paper presents arguments purporting to show that von Neumann's description of the measurement process in quantum mechanics has a modern day version in the decoherence approach. We claim that this approach and the de Broglie-Bohm theory emerges from Bohr's interpretation and are therefore obliged to deal with some obscures ideas which were antecipated, explicitly or implicitly and carefully circumvented, by Bohr.
[ { "version": "v1", "created": "Wed, 1 Dec 1999 16:42:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Santos", "L. F.", "" ], [ "Escobar", "C. O.", "" ] ]
quant-ph/9912006
Waldemar Puszkarz
Waldemar Puszkarz
On the Staruszkiewicz Modification of the Schroedinger Equation
Latex, 16 pages
null
null
null
quant-ph
null
We discuss Staruszkiewicz's nonlinear modification of the Schr\"{o}dinger equation. It is pointed out that the expression for the energy functional for this modification is not unique as the field-theoretical definition of energy does not coincide with the quantum-mechanical one. As a result, this modification can be formulated in three different ways depending on which physically relevant properties one aims to preserve. Some nonstationary one-dimensional solutions for suitably chosen potentials, including a KdV soliton, are presented, and the question of finding stationary solutions is also discussed. The analysis of physical and mathematical features of the modification leads to the conclusion that the Staruszkiewicz modification is a very subtle modification of the fundamental equation of quantum mechanics.
[ { "version": "v1", "created": "Thu, 2 Dec 1999 02:13:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Puszkarz", "Waldemar", "" ] ]
quant-ph/9912007
L. F. Santos
L. F. Santos and C. O. Escobar
Burgers Turbulence and the Continuous Spontaneous Localization Model
15 pages, 2 figures
null
null
null
quant-ph chao-dyn nlin.CD
null
There is a striking convergence between Burgers turbulence and the continuous spontaneous localization [CSL] model of quantum mechanics. In this paper, we exploit this analogy showing the similarities in the physics of these two apparently unrelated problems. It is hoped that the kind of analogy we introduce here may lead to important developments in both areas.
[ { "version": "v1", "created": "Thu, 2 Dec 1999 15:47:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Santos", "L. F.", "" ], [ "Escobar", "C. O.", "" ] ]
quant-ph/9912008
Stefano Mancini
S. Mancini (Dip. Fisica, Univ. Milano, Italy), A. M. Martins (Centro de Fisica de Plasmas, IST Lisboa, Portugal), P. Tombesi (Dip. Matematica e Fisica, Univ. Camerino, Italy)
Quantum Logic with a Single Trapped Electron
7 Pages, REVTeX, No Figures, To appear in Phys. Rev. A
Phys. Rev. A 61, 012303 (2000).
10.1103/PhysRevA.61.012303
null
quant-ph
null
We propose the use of a trapped electron to implement quantum logic operations. The fundamental controlled-NOT gate is shown to be feasible. The two quantum bits are stored in the internal and external (motional) degrees of freedom.
[ { "version": "v1", "created": "Thu, 2 Dec 1999 16:02:12 GMT" } ]
2009-10-31T00:00:00
[ [ "Mancini", "S.", "", "Dip. Fisica, Univ. Milano, Italy" ], [ "Martins", "A. M.", "", "Centro\n de Fisica de Plasmas, IST Lisboa, Portugal" ], [ "Tombesi", "P.", "", "Dip. Matematica e\n Fisica, Univ. Camerino, Italy" ] ]
quant-ph/9912009
Hoi-Kwong Lo
Hoi-Kwong Lo (MagiQ Technologies, Inc., New York, New York)
Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
Revised Version. Accepted on March 31 for publication in Physical Review A. Proof of Theorem 3 clarified. A Proviso added to the statement of Conjecture 4. Related results on randomization and private quantum channel noted
null
10.1103/PhysRevA.62.012313
null
quant-ph
null
We study the amount of classical communication needed for distributed quantum information processing. In particular, we introduce the concept of "remote preparation" of a quantum state. Given an ensemble of states, Alice's task is to help Bob in a distant laboratory to prepare a state of her choice. We find several examples of an ensemble with an entropy S where the remote preparation can be done with a communication cost lower than the amount (2S) required by standard teleportation. We conjecture that, for an arbitrary N-dimensional pure state, its remote preparation requires 2log_2 N bits of classical communication, as in standard teleportation.
[ { "version": "v1", "created": "Thu, 2 Dec 1999 20:25:17 GMT" }, { "version": "v2", "created": "Fri, 14 Apr 2000 21:33:16 GMT" } ]
2009-10-31T00:00:00
[ [ "Lo", "Hoi-Kwong", "", "MagiQ Technologies, Inc., New York, New York" ] ]
quant-ph/9912010
Ignacio Cirac
B. Kraus, J. I. Cirac, S. Karnas, and M. Lewenstein
Separability in 2xN composite quantum systems
Extended version of quant-ph/9903012 with new results. 11 pages
Phys.Rev.A 61, 062302 (2000)
10.1103/PhysRevA.61.062302
null
quant-ph
null
We analyze the separability properties of density operators supported on $\C^2\otimes \C^N$ whose partial transposes are positive operators. We show that if the rank of $\rho$ equals N then it is separable, and that bound entangled states have rank larger than N. We also give a separability criterion for a generic density operator such that the sum of its rank and the one of its partial transpose does not exceed 3N. If it exceeds this number we show that one can subtract product vectors until decreasing it to 3N, while keeping the positivity of $\rho$ and its partial transpose. This automatically gives us a sufficient criterion for separability for general density operators. We also prove that all density operators that remain invariant after partial transposition with respect to the first system are separable.
[ { "version": "v1", "created": "Thu, 2 Dec 1999 18:16:35 GMT" } ]
2009-10-31T00:00:00
[ [ "Kraus", "B.", "" ], [ "Cirac", "J. I.", "" ], [ "Karnas", "S.", "" ], [ "Lewenstein", "M.", "" ] ]
quant-ph/9912011
Hoi-Kwong Lo
Hoi-Kwong Lo (MagiQ Technologies Inc., New York, New York)
Will Quantum Cryptography ever become a successful technology in the marketplace?
6 pages, RevTex, two-column format
A substantially shortened and edited version appeared in Physics World, June 2000, p. 17
null
null
quant-ph
null
We assess the potential of quantum cryptography as a technology. We highlight the fact that academia and real world have rather different perspectives and interests. Then, we describe the various real life forces (different types of users, vendors of crypto-systems, conventional cryptographers, governments) behind the decision of the adoption (or rejection) of quantum cryptography and their different interests. Various roadblocks to the widespread application of quantum cryptography are discussed. Those roadblocks can be fundamental, technological, psychological, commercial or political and many of them have nothing to do with the security of quantum key distribution. We argue that the future success of quantum cryptography as a technology in the marketplace lies in our ability to appreciate and to overcome those roadblocks and to answer real world criticisms on the subject.
[ { "version": "v1", "created": "Thu, 2 Dec 1999 21:18:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Lo", "Hoi-Kwong", "", "MagiQ Technologies Inc., New York, New York" ] ]
quant-ph/9912012
Andr\'es Sicard
Andr\'es Sicard and Mario V\'elez
Some relations between quantum Turing machines and Turing machines
LaTeX, 6 pages. In previous version, we have some problems with bibliographic references
null
null
null
quant-ph
null
For quantum Turing machines we present three elements: Its components, its time evolution operator and its local transition function. The components are related with the components of deterministic Turing machines, the time evolution operator is related with the evolution of reversible Turing machines and the local transition function is related with the transition function of probabilistic and reversible Turing machines.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 00:13:07 GMT" }, { "version": "v2", "created": "Mon, 6 Dec 1999 15:16:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Sicard", "Andrés", "" ], [ "Vélez", "Mario", "" ] ]
quant-ph/9912013
Huo Wujun
LIU Yufeng, HUO Wujun and ZENG Jinyan (Department of Physics, Peking University, Beijing, P. R. China ")
Angular momentum and energy structure of the coherent state of a 2D isotropic harmonic oscillator
no figure. to appear in Comm. in Theor. Phys
Commum. Theor. Phys. 33, 487 (2000)
null
null
quant-ph
null
The angular momentum structure and energy structure of the coherent state of a 2D isotropic harmonic oscillator were investigated. Calculations showed that the average values of angular momentum and energy (except the zero point energy) of this nonspreading 2D wave packet are identical to those of the corresponding classical oscillator moving along a circular or an elliptic orbit.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 02:48:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Yufeng", "LIU", "", "Department of Physics, Peking\n University, Beijing, P. R. China \"" ], [ "Wujun", "HUO", "", "Department of Physics, Peking\n University, Beijing, P. R. China \"" ], [ "Jinyan", "ZENG", "", "Department of Physics, Peking\n University, Beijing, P. R. China \"" ] ]
quant-ph/9912014
Alexander Kozhekin
A. E. Kozhekin, K. Molmer and E. Polzik (University of Aarhus)
Quantum Memory for Light
submittted to PRL
null
10.1103/PhysRevA.62.033809
null
quant-ph
null
We propose an efficient method for mapping and storage of a quantum state of propagating light in atoms. The quantum state of the light pulse is stored in two sublevels of the ground state of a macroscopic atomic ensemble by activating a synchronized Raman coupling between the light and atoms. We discuss applications of the proposal in quantum information processing and in atomic clocks operating beyond quantum limits of accuracy. The possibility of transferring the atomic state back on light via teleportation is also discussed.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 09:47:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Kozhekin", "A. E.", "", "University of Aarhus" ], [ "Molmer", "K.", "", "University of Aarhus" ], [ "Polzik", "E.", "", "University of Aarhus" ] ]
quant-ph/9912015
Michele Pavon
Michele Pavon
Derivation of the wave function collapse in the context of Nelson's stochastic mechanics
24 pages
J. Math. Physics 40 (1999), 5565-5577
10.1063/1.533046
null
quant-ph
null
The von Neumann collapse of the quantum mechanical wavefunction after a position measurement is derived by a purely probabilistic mechanism in the context of Nelson's stochastic mechanics.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 10:00:19 GMT" } ]
2015-06-26T00:00:00
[ [ "Pavon", "Michele", "" ] ]
quant-ph/9912016
Oleg Dorofeyev
B.A. Lysov, O.A. Lysova, O.F. Dorofeyev
Quantum-defect Electron States Near a Helium Surface
4 pages, LaTex
null
null
null
quant-ph
null
Isolated electrons resting near a helium surface have a spectrum close to that of a quantum-defect atom. A precisely solvable model with Rydberg spectrum is sugguested and discussed.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 13:44:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Lysov", "B. A.", "" ], [ "Lysova", "O. A.", "" ], [ "Dorofeyev", "O. F.", "" ] ]
quant-ph/9912017
L. M. Duan
Lu-Ming Duan, G. Giedke, J. I. Cirac, and P. Zoller
Entanglement purification of Gaussian continuous variable quantum states
4 pages,1 figure, final version
Phys. Rev. Lett. 84, 4002 (2000)
10.1103/PhysRevLett.84.4002
null
quant-ph
null
We describe an entanglement purification protocol to generate maximally entangled states with high efficiencies from two-mode squeezed states or from mixed Gaussian continuous entangled states. The protocol relies on a local quantum non-demolition measurement of the total excitation number of several continuous variable entangled pairs. We propose an optical scheme to do this kind of measurement using cavity enhanced cross--Kerr interactions.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 14:52:02 GMT" }, { "version": "v2", "created": "Tue, 26 Sep 2000 09:08:19 GMT" } ]
2009-10-31T00:00:00
[ [ "Duan", "Lu-Ming", "" ], [ "Giedke", "G.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9912018
John Hamilton
John Hamilton
An obstruction based approach to the Kochen-Specker theorem
14 pages, 6 figures
J. Phys A: Math. Gen 33 (2000) p3783-3794
10.1088/0305-4470/33/20/305
Imperial/TP/99-0/11
quant-ph
null
In [1] it was shown that the Kochen Specker theorem can be written in terms of the non-existence of global elements of a certain varying set over the partially ordered set of boolean subalgebras of projection operators on some Hilbert space. In this paper, we show how obstructions to the construction of such global elements arise, and how this provides a new way of looking at proofs of the theorem.
[ { "version": "v1", "created": "Fri, 3 Dec 1999 14:59:52 GMT" } ]
2009-10-31T00:00:00
[ [ "Hamilton", "John", "" ] ]
quant-ph/9912019
George Chapline
George Chapline
Quantum Mechanics as Information Fusion
postscript, 9 pages
null
null
null
quant-ph
null
We provide evidence that quantum mechanics can be interpreted as a rational algorithm for finding the least complex description for the correlations in the outputs of sensors in a large array. In particular, by comparing the self-organization approach to solving the Traveling Salesman Problem with a solution based on taking the classical limit of a Feynman path integral, we are led to a connection between the quantum mechanics of motion in a magnetic field and self-organized information fusion.
[ { "version": "v1", "created": "Sat, 4 Dec 1999 00:29:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Chapline", "George", "" ] ]
quant-ph/9912020
Castagnoli Giuseppe
Giuseppe Castagnoli (Elsag Bailey, Genova, Italy)
A Quantum Logic Gate Representation of Quantum Measurement: Reversing and Unifying the Two Steps of von Neumann's Model
17 pages, RevTex, 1 PostScript file with figure, submitted to Int. J. Theor. Phys
null
null
null
quant-ph
null
In former work, quantum computation has been shown to be a problem solving process essentially affected by both the reversible dynamics leading to the state before measurement, and the logical-mathematical constraints introduced by quantum measurement (in particular, the constraint that there is only one measurement outcome). This dual influence, originated by independent initial and final conditions, justifies the quantum computation speed-up and is not representable inside dynamics, namely as a one-way propagation. In this work, we reformulate von Neumann's model of quantum measurement at the light of above findings. We embed it in a broader representation based on the quantum logic gate formalism and capable of describing the interplay between dynamical and non-dynamical constraints. The two steps of the original model, namely (1) dynamically reaching a complete entanglement between pointer and quantum object and (2) enforcing the one-outcome-constraint, are unified and reversed. By representing step (2) right from the start, the same dynamics of step (1) yields a probability distribution of mutually exclusive measurement outcomes. This appears to be a more accurate and complete representation of quantum measurement. PACS: 03.67.-a, 03.67.Lx, 03.65.Bz
[ { "version": "v1", "created": "Mon, 6 Dec 1999 16:22:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Castagnoli", "Giuseppe", "", "Elsag Bailey, Genova, Italy" ] ]
quant-ph/9912021
Toshihiko Ono
Toshihiko Ono
Overview of "Structure behind Mechanics"
8 pages
null
null
null
quant-ph
null
This letter proposes a new scenario to solve the structural or conceptual problems remained in quantum mechanics, and gives an overview of the theory proposed in quant-ph/9906130 (including quant-ph/9909025 and quant-ph/0001015).
[ { "version": "v1", "created": "Sun, 5 Dec 1999 18:10:29 GMT" }, { "version": "v2", "created": "Sun, 19 Dec 1999 19:26:29 GMT" }, { "version": "v3", "created": "Tue, 4 Jan 2000 15:12:00 GMT" }, { "version": "v4", "created": "Mon, 31 Jan 2000 16:20:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Ono", "Toshihiko", "" ] ]
quant-ph/9912022
Michael Fleischhauer
M. Fleischhauer, S. F. Yelin, M. D. Lukin
How to Trap Photons? Storing Single-Photon Quantum States in Collective Atomic Excitations
14 pages, 6 figures, to appear in Optics Communications
null
10.1016/S0030-4018(99)00679-3
null
quant-ph
null
We show that it is possible to ``store'' quantum states of single-photon fields by mapping them onto {\it collective} meta-stable states of an optically dense, coherently driven medium inside an optical resonator. An adiabatic technique is suggested which allows to transfer non-classical correlations from traveling-wave single-photon wave-packets into atomic states and vise versa with nearly 100% efficiency. In contrast to previous approaches involving single atoms, the present technique does not require the strong coupling regime corresponding to high-Q micro-cavities. Instead, intracavity Electromagnetically Induced Transparency is used to achieve a strong coupling between the cavity mode and the atoms.
[ { "version": "v1", "created": "Mon, 6 Dec 1999 08:54:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Fleischhauer", "M.", "" ], [ "Yelin", "S. F.", "" ], [ "Lukin", "M. D.", "" ] ]
quant-ph/9912023
Andrea Aiello
Andrea Aiello
Input-Output Relations in Optical Cavities: a Simple Point of View
34 pages, 5 figures jpg, LaTex
null
10.1103/PhysRevA.62.063813
null
quant-ph
null
In this work we present a very simple approach to input-output relations in optical cavities, limiting ourselves to one- and two-photon states of the field. After field quantization, we derive the non-unitary transformation between {\em Inside} and {\em Outside} annihilation and creation operators. Then we express the most general two-photon state generated by {\em Inside} creation operators, through base states generated by {\em Outside} creation operators. After renormalization of coefficients of inside two-photon state, we calculate the outside photon-number probability distribution in a general case. Finally we treat with some detail the single mode and symmetrical cavity case.
[ { "version": "v1", "created": "Mon, 6 Dec 1999 10:40:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Aiello", "Andrea", "" ] ]
quant-ph/9912024
Michael Thorwart
M. Thorwart (1), M. Grifoni (2,3) and P. H\"anggi (1), ((1) University of Augsburg, Germany, (2) University of Karlsruhe (Germany), (3) University of Genova, Italy)
Strong coupling theory for driven tunneling and vibrational relaxation
4 LaTeX pages including 3 figures
Phys. Rev. Lett. 85, 860 (2000)
10.1103/PhysRevLett.85.860
null
quant-ph
null
We investigate on a unified basis tunneling and vibrational relaxation in driven dissipative multistable systems described by their N lowest lying unperturbed levels. By use of the discrete variable representation we derive a set of coupled non-Markovian master equations. We present analytical treatments that describe the dynamics in the regime of strong system-bath coupling. Our findings are corroborated by ``ab-initio'' real-time path integral calculations.
[ { "version": "v1", "created": "Mon, 6 Dec 1999 14:35:17 GMT" }, { "version": "v2", "created": "Sun, 6 Feb 2000 16:23:42 GMT" }, { "version": "v3", "created": "Wed, 9 Aug 2000 11:02:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Thorwart", "M.", "" ], [ "Grifoni", "M.", "" ], [ "Hänggi", "P.", "" ] ]
quant-ph/9912025
DaeKil Park
ChangSoo Park and D. K. Park
Effect of Aharonov-Bohm Phase on Spin Tunneling
12 pages, no figure
Mod. Phys. Lett. B, 14 (2000) 919
10.1142/S0217984900001130
null
quant-ph cond-mat hep-th
null
The role of Aharonov-Bohm effect in quantum tunneling is examined when a potential is defined on the $S^1$ and has $N$-fold symmetry. We show that the low-lying energy levels split from the $N$-fold degenerate ground state oscillate as a function of the Aharonov-Bohm phase, from which general degeneracy conditions depending on the magnetic flux is obtained. We apply these results to the spin tunneling in a spin system with $N$-fold rotational symmetry around a hard axis.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 07:17:35 GMT" }, { "version": "v2", "created": "Fri, 11 Aug 2000 20:16:40 GMT" } ]
2015-06-26T00:00:00
[ [ "Park", "ChangSoo", "" ], [ "Park", "D. K.", "" ] ]
quant-ph/9912026
P. V. Elyutin
P.V. Elyutin and A.N. Rogovenko
On stimulated transitions between the self-trapped states of the nonlinear Schrodinger equation
16 pages REVTEX, 5 Postscript figures
null
null
null
quant-ph
null
The studied model describes a particle that obeys a one-dimensional nonlinear Schr\"odinger equation in the potential of a double-well. Transitions between the two lowest self-trapped states of this system under the influence of the external time-dependent perturbation are studied in the two-mode approximation. If the perturbation dependence on time is harmonic with the frequency $\omega$, then transitions between the states become possible if the amplitude of the perturbation $F$ exceeds some threshold value $F_c(\omega)$; above the threshold motion of the system becomes chaotic. If the perturbation is a broadband noise, then transitions between the states are possible at arbitrarily small $F$ and occur in the process of the system's energy diffusion.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 11:09:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Elyutin", "P. V.", "" ], [ "Rogovenko", "A. N.", "" ] ]
quant-ph/9912027
Miloslav Znojil
Miloslav Znojil
PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials
Original 10-page letter ``PT-symmetrized exact solution of the singular Eckart oscillator" is extended to a full paper
J. Phys. A: Math. Gen. 33 (2000) 4561 - 4572
10.1088/0305-4470/33/24/311
null
quant-ph
null
Version 1: The well known Eckart's singular s-wave potential is PT-symmetrically regularized and continued to the whole real line. The new model remains exactly solvable and its bound states remain proportional to Jacobi polynomials. Its real and discrete spectrum exhibits several unusual features. Version 2: Parity times time-reversal symmetry of complex Hamiltonians with real spectra is usually interpreted as a weaker mathematical substitute for Hermiticity. Perhaps an equally important role is played by the related strengthened analyticity assumptions. In a constructive illustration we complexify a few potentials solvable only in s-wave. Then we continue their domain from semi-axis to the whole axis and get the new exactly solvable models. Their energies come out real as expected. The new one-dimensional spectra themselves differ quite significantly from their s-wave predecessors.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 15:59:10 GMT" }, { "version": "v2", "created": "Mon, 20 Mar 2000 16:52:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Znojil", "Miloslav", "" ] ]
quant-ph/9912028
Pierre Meystre
G. A. Prataviera, J. Zapata and P. Meystre
Higher-order mutual coherence of optical and matter waves
11 pages, 2 figures
null
10.1103/PhysRevA.62.023605
null
quant-ph cond-mat physics.atom-ph
null
We use an operational approach to discuss ways to measure the higher-order cross-correlations between optical and matter-wave fields. We pay particular attention to the fact that atomic fields actually consist of composite particles that can easily be separated into their basic constituents by a detection process such as photoionization. In the case of bosonic fields, that we specifically consider here, this leads to the appearance in the detection signal of exchange contributions due to both the composite bosonic field and its individual fermionic constituents. We also show how time-gated counting schemes allow to isolate specific contributions to the signal, in particular involving different orderings of the Schr\"odinger and Maxwell fields.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 16:09:41 GMT" } ]
2009-10-31T00:00:00
[ [ "Prataviera", "G. A.", "" ], [ "Zapata", "J.", "" ], [ "Meystre", "P.", "" ] ]
quant-ph/9912029
Marek Zukowski
Marek Zukowski
Bell Theorem for Nonclassical Part of Quantum Teleportation Process
4 pages, RevTeX, no figures
null
10.1103/PhysRevA.62.032101
null
quant-ph
null
The quantum teleportation process is composed of a joint measurement performed upon two subsystems A and B (uncorrelated), followed by a unitary transformation (parameters of which depend on the outcome of the measurement) performed upon a third subsystem C (EPR correlated with system B). The information about the outcome of the measurement is transferred by classical means. The measurement performed upon the systems A and B collapses their joint wavefunction into one of the four {\it entangled} Bell states. It is shown here that this measurement process plus a possible measurement on the third subsystem (with classical channel switched off - no additional unitary transformation performed) cannot be described by a local realistic theory.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 16:27:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Zukowski", "Marek", "" ] ]
quant-ph/9912030
Antonio Cesar Aguiar Pinto
A.C. Aguiar Pinto, M.C. Nemes, J.G. Peixoto de Faria and M.T. Thomaz
Comment on the Adiabatic Condition
9 pages
Am. J. of Phys. {\bf 68} (2000) 955-958
10.1119/1.1285944
null
quant-ph
null
The experimental observation of effects due to Berry's phase in quantum systems is certainly one of the most impressive demonstrations of the correctness of the superposition principle in quantum mechanics. Since Berry's original paper in 1984, the spin 1/2 coupled with rotating external magnetic field has been one of the most studied models where those phases appear. We also consider a special case of this soluble model. A detailed analysis of the coupled differential equations and comparison with exact results teach us why the usual procedure (of neglecting nondiagonal terms) is mathematically sound.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 16:28:51 GMT" }, { "version": "v2", "created": "Thu, 2 Mar 2000 17:19:48 GMT" }, { "version": "v3", "created": "Wed, 8 Nov 2000 18:23:31 GMT" } ]
2009-10-31T00:00:00
[ [ "Pinto", "A. C. Aguiar", "" ], [ "Nemes", "M. C.", "" ], [ "de Faria", "J. G. Peixoto", "" ], [ "Thomaz", "M. T.", "" ] ]
quant-ph/9912031
Angelo Bassi
Angelo Bassi and GianCarlo Ghirardi
Decoherent Histories and Realism
34 pages, LaTeX. To appear in Journ. Stat. Phys
J.Statist.Phys. 98 (2000) 457-494
null
null
quant-ph
null
We reconsider the Decoherent Histories approach to Quantum Mechanics and we analyze some problems related to its interpretation which, according to us, have not been adequately clarified by its proponents. We put forward some assumptions which, in our opinion, are necessary for a realistic interpretation of the probabilities that the formalism attaches to decoherent histories. We prove that such assumptions, unless one limits the set of the decoherent families which can be taken into account, lead to a logical contradiction. The line of reasoning we will follow is conceptually different from other arguments which have been presented and which have been rejected by the supporters of the Decoherent Histories approach. The conclusion is that the Decoherent Histories approach, to be considered as an interesting realistic alternative to the orthodox interpretation of Quantum Mechanics, requires the identification of a mathematically precise criterion to characterize an appropriate set of decoherent families which does not give rise to any problem.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 17:13:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Bassi", "Angelo", "" ], [ "Ghirardi", "GianCarlo", "" ] ]
quant-ph/9912032
Richard L. Hall
Richard L. Hall
Functional inversion for potentials in quantum mechanics
14 pages, 2 figures
Phys. Lett. A265, 28-34 (2000)
10.1016/S0375-9601(99)00872-5
CUQM-74
quant-ph math-ph math.MP
null
Let E = F(v) be the ground-state eigenvalue of the Schroedinger Hamiltonian H = -Delta + vf(x), where the potential shape f(x) is symmetric and monotone increasing for x > 0, and the coupling parameter v is positive. If the 'kinetic potential' bar{f}(s) associated with f(x) is defined by the transformation: bar{f}(s) = F'(v), s = F(v)-vF'(v),then f can be reconstructed from F by the sequence: f^{[n+1]} = bar{f} o bar{f}^{[n]^{-1}} o f^{[n]}. Convergence is proved for special classes of potential shape; for other test cases it is demonstrated numerically. The seed potential shape f^{[0]} need not be 'close' to the limit f.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 17:34:59 GMT" } ]
2009-10-31T00:00:00
[ [ "Hall", "Richard L.", "" ] ]
quant-ph/9912033
Sougato Bose
S. Bose and V. Vedral
Mixedness and teleportation
6 pages, no figures
null
10.1103/PhysRevA.61.040101
null
quant-ph
null
We show that on exceeding a certain degree of mixedness (as quantified by the von Neumann entropy), entangled states become useless for teleporatation. By increasing the dimension of the entangled systems, this entropy threshold can be made arbitrarily close to maximal. This entropy is found to exceed the entropy threshold sufficient to ensure the failure of dense coding.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 20:26:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Bose", "S.", "" ], [ "Vedral", "V.", "" ] ]
quant-ph/9912034
Nuno Dias
Nuno Costa Dias
Classicality Criteria
23 pages. Revised version, to appear in the J. Math. Phys
J. Math. Phys. 43 (2002) 5882-5901
null
null
quant-ph
null
We present two possible criteria quantifying the degree of classicality of an arbitrary (finite dimensional) dynamical system. The inputs for these criteria are the classical dynamical structure of the system together with the quantum and the classical data providing the two alternative descriptions of its initial time configuration. It is proved that a general quantum system satisfying the criteria up to some extend displays a time evolution consistent with the classical predictions up to some degree and thus it is argued that the criteria provide a suitable measure of classicality. The features of the formalism are illustrated through two simple examples.
[ { "version": "v1", "created": "Tue, 7 Dec 1999 22:16:43 GMT" }, { "version": "v2", "created": "Sat, 14 Sep 2002 18:13:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Dias", "Nuno Costa", "" ] ]
quant-ph/9912035
Wolfgang Tittel
W. Tittel, H. Zbinden, and N. Gisin
Quantum secret sharing using pseudo-GHZ states
4 pages including 3 figures and 1 table
null
null
null
quant-ph
null
We present a setup for quantum secret sharing using pseudo-GHZ states based on energy-time entanglement. In opposition to true GHZ states, our states do not enable GHZ-type tests of nonlocality, however, they bare the same quantum correlations. The relatively high coincidence count rates found in our setup enable for the first time an application of a quantum communication protocoll based on more than two qubits.
[ { "version": "v1", "created": "Wed, 8 Dec 1999 08:11:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Tittel", "W.", "" ], [ "Zbinden", "H.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/9912036
Masurao Kamada
Nan-Jian Wu, M. Kamada, A. Natori and H. Yasunaga
Quantum Computer Using Coupled Quantum Dot Molecules
18 pages, 7 figures, submitted to Jpn. J. Appl. Phys, please send your e-mail to Nan-Jian Wu <[email protected]>
null
10.1143/JJAP.39.4642
null
quant-ph
null
We propose a method for implementation of a quantum computer using artificial molecules. The artificial molecule consists of two coupled quantum dots stacked along z direction and one single electron. One-qubit and two-qubit gates are constructed by one molecule and two coupled molecules, respectively.The ground state and the first excited state of the molecule are used to encode the |0> and |1> states of a qubit. The qubit is manipulated by a resonant electromagnetic wave that is applied directly to the qubit through a microstrip line. The coupling between two qubits in a quantum controlled NOT gate is switched on (off) by floating (grounding) the metal film electrodes. We study the operations of the gates by using a box-shaped quantum dot model and numerically solving a time-dependent Schridinger equation, and demonstrate that the quantum gates can perform the quantum computation. The operating speed of the gates is about one operation per 4ps. The reading operation of the output of the quantum computer can be performed by detecting the polarization of the qubits.
[ { "version": "v1", "created": "Wed, 8 Dec 1999 11:02:33 GMT" }, { "version": "v2", "created": "Thu, 9 Dec 1999 12:19:37 GMT" }, { "version": "v3", "created": "Fri, 10 Dec 1999 06:48:04 GMT" }, { "version": "v4", "created": "Wed, 27 Sep 2000 16:05:28 GMT" }, { "version": "v5", "created": "Sat, 7 Oct 2000 13:38:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Wu", "Nan-Jian", "" ], [ "Kamada", "M.", "" ], [ "Natori", "A.", "" ], [ "Yasunaga", "H.", "" ] ]
quant-ph/9912037
Jonathan Halliwell
J. J. Halliwell
The Emergence of Hydrodynamic Equations from Quantum Theory: A Decoherent Histories Analysis
16 pages, plain Tex. To appear in Proceedings of the 4th Peyresq Conference, 1999
null
null
Imperial/TP/99-0/14
quant-ph
null
The most general description of the classical world is in terms of local densities (such as number, momentum, energy), and these typically evolve according to evolution equations of hydrodynamic form. To explain the emergent classicality of these variables from an underlying quantum theory, it is therefore necessary to show, firstly, that these variables exhibit negligible interference, and secondly, that the probabilities for histories of them are peaked around hydrodynamic evolution. The implementation of this programme in the context of the decoherent histories approach to quantum theory is described. It is argued that, for a system of weakly interacting particles, the eigenstates of local densities (averaged over a sufficiently large volume) remain approximate eigenstates under time evolution. This is a consequence of their close connection with the corresponding exactly conserved (and so exactly decoherent) quantities. The subsequent derivation of hydrodynamic equations from decoherent histories is discussed.
[ { "version": "v1", "created": "Wed, 8 Dec 1999 15:46:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Halliwell", "J. J.", "" ] ]
quant-ph/9912038
Shao-Ming Fei
Sergio Albeverio, Shao-Ming Fei
A Remark on the Optimal Cloning of An N-Level Quantum System
8 pages, Latex
Eur.Phys.J. B14 (2000) 669-672
10.1007/s100510051077
null
quant-ph cond-mat hep-th
null
We study quantum cloning machines (QCM) that act on an unknown N-level quantum state and make M copies. We give a formula for the maximum of the fidelity of cloning and exhibit the unitary transformations that realize this optimal fidelity. We also extend the results to treat the case of M copies from $N^\prime$ ($M>N^\prime$) identical N-level quantum systems.
[ { "version": "v1", "created": "Wed, 8 Dec 1999 17:38:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Albeverio", "Sergio", "" ], [ "Fei", "Shao-Ming", "" ] ]
quant-ph/9912039
Benjamin Schumacher
N. Linden (1), S. Popescu (1), B. Schumacher (2), M. Westmoreland (3) ((1) University of Bristol, (2) Kenyon College, (3) Denison University)
Reversibility of local transformations of multiparticle entanglement
5 pages, RevTeX (no figures)
null
null
null
quant-ph
null
We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for two parties must remain constant. This shows, for example, that it is not possible to convert 2N three party GHZ states into 3N singlets, even in an asymptotic sense. Thus there is true three-party non-locality (i.e., not all three-party entanglement is equivalent to two-party entanglement). Our results also allow us to make {\em quantitative} statements about concentrating multi-particle entanglement. Finally, we show that there is true n-party entanglement for all n.
[ { "version": "v1", "created": "Wed, 8 Dec 1999 21:40:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Linden", "N.", "", "University of Bristol" ], [ "Popescu", "S.", "", "University of Bristol" ], [ "Schumacher", "B.", "", "Kenyon College" ], [ "Westmoreland", "M.", "", "Denison University" ] ]
quant-ph/9912040
Seth Lloyd
Seth Lloyd (MIT), Benjamin Rahn (Harvard), Charlene Ahn (Caltech)
Robust quantum computation by simulation
8 pages, TeX
null
null
null
quant-ph
null
Simulation of quantum systems that provide intrinsically fault-tolerant quantum computation is shown to preserve fault tolerance. Errors committed in the course of simulation are eliminated by the natural error-correcting features of the systems simulated. Two examples are explored, toric codes and non-abelian anyons. The latter is shown to provide universal robust quantum computation via simulation.
[ { "version": "v1", "created": "Wed, 8 Dec 1999 22:38:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Lloyd", "Seth", "", "MIT" ], [ "Rahn", "Benjamin", "", "Harvard" ], [ "Ahn", "Charlene", "", "Caltech" ] ]
quant-ph/9912041
Benni Reznik
Yakir Aharonov and Benni Reznik
Local/Non-Local Complementarity in Topological Effects
4 pages
Phys. Rev. Lett. 84, 4790 (2000).
10.1103/PhysRevLett.84.4790
null
quant-ph
null
In certain topological effects the accumulation of a quantum phase shift is accompanied by a local observable effect. We show that such effects manifest a complementarity between non-local and local attributes of the topology, which is reminiscent but yet different from the usual wave-particle complementarity. This complementarity is not a consequence of non-commutativity, rather it is due to the non-canonical nature of the observables. We suggest that a local/non-local complementarity is a general feature of topological effects that are ``dual'' to the AB effect.
[ { "version": "v1", "created": "Thu, 9 Dec 1999 09:21:33 GMT" } ]
2009-10-31T00:00:00
[ [ "Aharonov", "Yakir", "" ], [ "Reznik", "Benni", "" ] ]
quant-ph/9912042
null
G. K\"albermann (Soil and Water department, Faculty of Agriculture, Israel)
Wave packet scattering from an attractive well
Final version, Journal of Physics A, to be published
J.Phys.A34:3841-3858,2001
10.1088/0305-4470/34/18/312
null
quant-ph nucl-th
null
Wave packet scattering off an attractive well is investigated in two spatial dimensions numerically. The results confirm what was found previously for the one dimensional case. The wave scattered at large angles is a polychotomous (multiple peak) coherent train. Large angle scattering is extremely important for low impinging velocities and at all impact parameters. The effect disappears for packets more extended than the well. Experiments to detect the polychotomous behavior are suggested.
[ { "version": "v1", "created": "Thu, 9 Dec 1999 10:52:45 GMT" }, { "version": "v2", "created": "Mon, 19 Mar 2001 08:05:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Kälbermann", "G.", "", "Soil and Water department, Faculty of Agriculture,\n Israel" ] ]
quant-ph/9912043
null
M.Genovese, C. Novero
Quantum non-demolition (QND) modulation of quantum interference
accepted for publication
Phys. Rev. A 61 032102 (2000)
10.1103/PhysRevA.61.032102
IEN 1999
quant-ph physics.optics
null
We propose an experiment where quantum interference between two different paths is modulated by means of a QND measurement on one or both the arm of the interferometer. The QND measurement is achieved in a Kerr cell. We illustrate a scheme for the realisation of this experiment and some further developments.
[ { "version": "v1", "created": "Thu, 9 Dec 1999 09:44:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Genovese", "M.", "" ], [ "Novero", "C.", "" ] ]
quant-ph/9912044
Richard A. Mould
Richard A Mould
A defense of Hellwig-Kraus reductions
10 pages. 3 figures
null
null
null
quant-ph
null
Aharonov and Albert analyze a thought experiment which they believe shows that quantum mechanical state reductions occur along temporal hypersurfaces in Minkowski space. They conclude that the covariant state reduction theory of Hellwig and Kraus does not apply. In Part I of this paper we disagree with this interpretation of the A-A experiment, and show the adequacy of the H-K theory. In Part II we examine the belief that H-K reductions produce self contradicting causal loops, and/or give rise to absurd boundary conditions. These objections to the theory are shown to be unfounded.
[ { "version": "v1", "created": "Thu, 9 Dec 1999 14:01:31 GMT" } ]
2009-09-25T00:00:00
[ [ "Mould", "Richard A", "" ] ]
quant-ph/9912045
M. Dima
M. Dima
Quantum Particle-Trajectories and Geometric Phase
4 pages
published in JETP Lett. 72(11) p. 785 (Dec. 10 2000)
10.1134/1.1348476
WUD 99-47
quant-ph
null
"Particle"-trajectories are defined as integrable $dx_\mu dp^\mu = 0$ paths in projective space. Quantum states evolving on such trajectories, open or closed, do not delocalise in $(x, p)$ projection, the phase associated with the trajectories being related to the geometric (Berry) phase and the Classical Mechanics action. High Energy Physics properties of states evolving on "particle"-trajectories are discussed.
[ { "version": "v1", "created": "Thu, 9 Dec 1999 15:23:43 GMT" }, { "version": "v10", "created": "Fri, 18 May 2001 17:54:22 GMT" }, { "version": "v11", "created": "Mon, 10 Nov 2003 20:41:14 GMT" }, { "version": "v2", "created": "Mon, 17 Jan 2000 13:58:44 GMT" }, { "version": "v3", "created": "Tue, 31 Oct 2000 23:56:43 GMT" }, { "version": "v4", "created": "Wed, 1 Nov 2000 19:59:42 GMT" }, { "version": "v5", "created": "Thu, 2 Nov 2000 22:04:02 GMT" }, { "version": "v6", "created": "Fri, 10 Nov 2000 19:52:54 GMT" }, { "version": "v7", "created": "Sat, 11 Nov 2000 01:33:50 GMT" }, { "version": "v8", "created": "Wed, 29 Nov 2000 20:28:56 GMT" }, { "version": "v9", "created": "Mon, 9 Apr 2001 16:17:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Dima", "M.", "" ] ]
quant-ph/9912046
Mikhail Lukin
M.D.Lukin, S.F.Yelin and M.Fleischhauer
Entanglement of Atomic Ensembles by Trapping Correlated Photon States
null
null
10.1103/PhysRevLett.84.4232
null
quant-ph
null
We describe a general technique that allows for an ideal transfer of quantum correlations between light fields and metastable states of matter. The technique is based on trapping quantum states of photons in coherently driven atomic media, in which the group velocity is adiabatically reduced to zero. We discuss possible applications such as quantum state memories, generation of squeezed atomic states, preparation of entangled atomic ensembles and quantum information processing.
[ { "version": "v1", "created": "Fri, 10 Dec 1999 01:00:20 GMT" } ]
2009-10-31T00:00:00
[ [ "Lukin", "M. D.", "" ], [ "Yelin", "S. F.", "" ], [ "Fleischhauer", "M.", "" ] ]
quant-ph/9912047
null
Alexander R. Kessel and Vladimir L. Ermakov
Multiqubit Spin
7 pages, PostScript, no figures; translation of Pis'ma Zh. Eksp. Teor. Fiz. 70, No. 1, pp. 59-63, 10 July 1999; (Submitted 29 April 1999; resubmitted 2 June 1999)
JETP Letters 70 (1999) 61-65
10.1134/1.568130
null
quant-ph
null
It is proposed that the state space of a quantum object with a complicated discrete spectrum can be used as a basis for multiqubit recording and processing of information in a quantum computer. As an example, nuclear spin 3/2 is considered. The possibilities of writing and reading two quantum bits of information, preparation of the initial state, implementation of the "rotation" and "controlled negation" operations, which are sufficient for constructing any algorithms, are demonstrated.
[ { "version": "v1", "created": "Fri, 10 Dec 1999 12:34:35 GMT" } ]
2009-10-31T00:00:00
[ [ "Kessel", "Alexander R.", "" ], [ "Ermakov", "Vladimir L.", "" ] ]
quant-ph/9912048
Martin Bojowald
Martin Bojowald and Thomas Strobl
Symplectic Cuts and Projection Quantization
12 pages, v2: additional examples and a new reference to related work
Int.J.Mod.Phys. D12 (2003) 713-725
10.1142/S0218271803002810
PITHA 99/35, FSUJ-TPI-12/99, ESI 802
quant-ph gr-qc hep-th math.SG
null
The recently proposed projection quantization, which is a method to quantize particular subspaces of systems with known quantum theory, is shown to yield a genuine quantization in several cases. This may be inferred from exact results established within symplectic cutting.
[ { "version": "v1", "created": "Fri, 10 Dec 1999 14:12:51 GMT" }, { "version": "v2", "created": "Wed, 7 Jun 2000 08:47:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Bojowald", "Martin", "" ], [ "Strobl", "Thomas", "" ] ]
quant-ph/9912049
Taksu Cheon de Caracorum
Taksu Cheon (Kochi Tech) and T. Shigehara (Saitama U)
Continuous Spectra of Generalized Kronig-Penney Model
LaTeX 6 Pages (include 7 eps figures, use a personal sty file) For related articles, see also http://www.mech.kochi-tech.ac.jp/cheon/
Journal of the Physical Society of Japan 73 (2004) 2986-2990
10.1143/JPSJ.73.2986
null
quant-ph cond-mat
null
The standard Kronig-Penney model with periodic $\delta$ potentials is extended to the cases with generalized contact interactions. The eigen equation which determines the dispersion relation for one-dimensional periodic array of the generalized contact interactions is deduced with the transfer matrix formalism. Numerical results are presented which reveal unexpected band spectra with broader band gap in higher energy region for generic model with generalized contact interaction.
[ { "version": "v1", "created": "Fri, 10 Dec 1999 17:40:55 GMT" }, { "version": "v2", "created": "Sat, 11 Dec 1999 01:46:34 GMT" }, { "version": "v3", "created": "Wed, 26 Apr 2006 07:02:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Cheon", "Taksu", "", "Kochi Tech" ], [ "Shigehara", "T.", "", "Saitama U" ] ]
quant-ph/9912050
Ennio Gozzi
A.A.Abrikosov (jr.), E.Gozzi
Quantization and Time
4 pages,Latex,uses espcrc2.sty. Talk by E.G at the QG99, Villasimius (Sardinia, Italy) 13-17 September 99
Nucl.Phys.Proc.Suppl. 66 (2000) 369
10.1016/S0920-5632(00)00804-5
null
quant-ph gr-qc
null
Starting from a functional formulation of classical mechanics, we show how to perform its quantization by freezing to zero two Grassmannian partners of time.
[ { "version": "v1", "created": "Fri, 10 Dec 1999 20:37:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Abrikosov", "A. A.", "", "jr." ], [ "Gozzi", "E.", "" ] ]
quant-ph/9912051
Helmut Kroger
C.Q. Huang, H. Kr\"oger, X.Q. Luo and K.J.M. Moriarty
Monte Carlo Hamiltonian from Stochastic Basis
revised version, new figures. Text (LaTeX), 4 Figs. (eps), style file
Phys.Lett. A299 (2002) 483-493
10.1016/S0375-9601(02)00750-8
null
quant-ph hep-lat
null
In order to extend the recently proposed Monte Carlo Hamiltonian to many-body systems, we suggest to concept of a stochastic basis. We apply it to the chain of $N_s=9$ coupled anharmonic oscillators. We compute the spectrum of excited states in a finite energy window and thermodynamical observables free energy, average energy, entropy and specific heat in a finite temperature window. Comparing the results of the Monte Carlo Hamiltonian with standard Lagrangian lattice calculations, we find good agreement. However, the Monte Carlo Hamiltonian results show less fluctuations under variation of temperature.
[ { "version": "v1", "created": "Fri, 10 Dec 1999 22:10:30 GMT" }, { "version": "v2", "created": "Tue, 8 Jan 2002 14:26:33 GMT" } ]
2016-08-15T00:00:00
[ [ "Huang", "C. Q.", "" ], [ "Kröger", "H.", "" ], [ "Luo", "X. Q.", "" ], [ "Moriarty", "K. J. M.", "" ] ]
quant-ph/9912052
Jonathan P. Dowling
Agedi N. Boto, Pieter Kok, Daniel S. Abrams, Samuel L. Braunstein, Colin P. Williams, and Jonathan P. Dowling
Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
9 pages, 2 figures
Phys. Rev. Lett. 85, 2733 (2000)
10.1103/PhysRevLett.85.2733
null
quant-ph
null
Classical, interferometric, optical lithography is diffraction limited to writing features of a size lambda/2 or greater, where lambda is the optical wavelength. Using nonclassical photon number states, entangled N at a time, we show that it is possible to write features of minimum size lambda/(2N) in an N-photon absorbing substrate. This result surpasses the usual classical diffraction limit by a factor of N. Since the number of features that can be etched on a two-dimensional surface scales inversely as the square of the feature size, this allows one to write a factor of N^2 more elements on a semiconductor chip. A factor of N = 2 can be achieved easily with entangled photon pairs generated from optical parametric downconversion. It is shown how to write arbitrary 2D patterns by using this method.
[ { "version": "v1", "created": "Sat, 11 Dec 1999 02:03:29 GMT" }, { "version": "v2", "created": "Thu, 4 May 2000 00:06:50 GMT" } ]
2010-04-09T00:00:00
[ [ "Boto", "Agedi N.", "" ], [ "Kok", "Pieter", "" ], [ "Abrams", "Daniel S.", "" ], [ "Braunstein", "Samuel L.", "" ], [ "Williams", "Colin P.", "" ], [ "Dowling", "Jonathan P.", "" ] ]
quant-ph/9912053
P. Oscar Boykin
Eli Biham, Michel Boyer, P. Oscar Boykin, Tal Mor, Vwani Roychowdhury
A Proof of the Security of Quantum Key Distribution
null
null
null
null
quant-ph
null
We prove the security of quantum key distribution against the most general attacks which can be performed on the channel, by an eavesdropper who has unlimited computation abilities, and the full power allowed by the rules of classical and quantum physics. A key created that way can then be used to transmit secure messages in a way that their security is also unaffected in the future.
[ { "version": "v1", "created": "Sat, 11 Dec 1999 04:58:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Biham", "Eli", "" ], [ "Boyer", "Michel", "" ], [ "Boykin", "P. Oscar", "" ], [ "Mor", "Tal", "" ], [ "Roychowdhury", "Vwani", "" ] ]
quant-ph/9912054
Brian C. Hall
Brian C. Hall
Holomorphic Methods in Mathematical Physics
Final version
Contemporary Mathematics, Volume 260, pp. 1-59
null
null
quant-ph math-ph math.MP
null
This set of lecture notes gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations. Later sections describe more advanced topics such as the Segal-Bargmann transform for compact Lie groups and the infinite-dimensional theory.
[ { "version": "v1", "created": "Sat, 11 Dec 1999 20:51:37 GMT" }, { "version": "v2", "created": "Thu, 14 Sep 2000 23:07:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Hall", "Brian C.", "" ] ]
quant-ph/9912055
Michael J. W. Hall
Michael J. W. Hall
Quantum properties of classical Fisher information
16 pages
Physical Review A 62 (2000) 012107 (6pp.)
10.1103/PhysRevA.62.012107
null
quant-ph
null
The Fisher information of a quantum observable is shown to be proportional to both (i) the difference of a quantum and a classical variance, thus providing a measure of nonclassicality; and (ii) the rate of entropy increase under Gaussian diffusion, thus providing a measure of robustness. The joint nonclassicality of position and momentum observables is shown to be complementary to their joint robustness in an exact sense.
[ { "version": "v1", "created": "Mon, 13 Dec 1999 23:30:22 GMT" } ]
2009-10-31T00:00:00
[ [ "Hall", "Michael J. W.", "" ] ]
quant-ph/9912056
Hagen Kleinert
H.Kleinert, A. Chervyakov
Reparametrization Invariance of Perturbatively Defined Path Integrals. II. Integrating Products of Distributions
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/302
Phys.Lett. B47 (2000) 373
10.1016/S0370-2693(00)00199-4
null
quant-ph hep-th
null
We show how to perform integrals over products of distributions in coordinate space such as to reproduce the results of momentum space Feynman integrals in dimensional regularization. This ensures the invariance of path integrals under coordinate transformations. The integrals are uniquely defined by expressing the propagators in 1- epsilon dimensions in terms of modified Bessel functions.
[ { "version": "v1", "created": "Sun, 12 Dec 1999 11:08:35 GMT" }, { "version": "v2", "created": "Thu, 10 Feb 2000 08:18:57 GMT" } ]
2009-10-31T00:00:00
[ [ "Kleinert", "H.", "" ], [ "Chervyakov", "A.", "" ] ]
quant-ph/9912057
Mike York
Michael J. York
Permutation Symmetry For Many Particles
null
null
null
null
quant-ph
null
We consider the implications of the Revised Symmetrization Postulate (see quant-ph/9908078) for states of more than two particles. We show how to create permutation symmetric state vectors and how to derive alternative state vectors that may be asymmetric for any pair by creating asymmetric interdependencies in their state descriptions. Because we can choose any pair to create such an asymmetry, the usual generalized exclusion rules which result, apply simultaneously to any pair. However, we distinguish between simultaneous pairwise exclusion rules and the simultaneous pairwise anti-symmetry of the conventional symmetrization postulate. We show how to construct a variety of state vectors with multiple interdependencies in their state descriptions and various exchange asymmetries - including one which is anti-symmetric under exchange of two bosons - all without violating the spin-statistics theorem. We conjecture that it is possible to construct state vectors for arbitrary mixes of bosons and fermions that emulate the conventional symmetrization postulate in a limited way and give examples. We also prove that it is not possible to define a single state vector that simultaneously obeys the conventional symmetrization postulate in its standard form (in which the exchange phase does not depend on the spins of additional particles that are present) for every pair that can be interchanged.
[ { "version": "v1", "created": "Mon, 13 Dec 1999 04:56:42 GMT" } ]
2011-09-06T00:00:00
[ [ "York", "Michael J.", "" ] ]
quant-ph/9912058
Bassano Vacchini
L.Lanz, O.Melsheimer and B.Vacchini
Subdynamics as a mechanism for objective description
latex, 15 pages. Paper submitted to Proc. Conference "Mysteries, Puzzles And Paradoxes In Quantum Mechanics, Workshop on Entanglement And Decoherence, Palazzo Feltrinelli, Gargnano, Garda Lake, Italy, 20-25 September, 1999
J. Mod. Opt. 47 (2000) 2165-2180
10.1080/09500340008235139
null
quant-ph
null
The relationship between microsystems and macrosystems is considered in the context of quantum field formulation of statistical mechanics: it is argued that problems on foundations of quantum mechanics can be solved relying on this relationship. This discussion requires some improvement of non-equilibrium statistical mechanics that is briefly presented.
[ { "version": "v1", "created": "Mon, 13 Dec 1999 10:19:44 GMT" } ]
2015-06-26T00:00:00
[ [ "Lanz", "L.", "" ], [ "Melsheimer", "O.", "" ], [ "Vacchini", "B.", "" ] ]
quant-ph/9912059
Garnik F. Mkrtchian
T. R. Hovhannisyan, A. G. Markossian and G. F. Mkrtchian (Yerevan State University)
On the theory of the relativistic cross sections for stimulated bremsstrahlung on an arbitrary electrostatic potential in the strong electromagnetic field
Revtex,10 pages,3 figures
null
null
null
quant-ph
null
On the base of relativistic generalized eikonal approximation wave function the multiphoton cross sections of a Dirac particle bremsstrahlung on an arbitrary electrostatic potential and strong laser radiation field are presented. In the limit of the Born approximation the ultimate analytical formulas for arbitrary polarization of electromagnetic wave have been obtained.
[ { "version": "v1", "created": "Mon, 13 Dec 1999 11:54:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Hovhannisyan", "T. R.", "", "Yerevan\n State University" ], [ "Markossian", "A. G.", "", "Yerevan\n State University" ], [ "Mkrtchian", "G. F.", "", "Yerevan\n State University" ] ]
quant-ph/9912060
Andreas Ruschhaupt
Andreas Ruschhaupt
Relativistic Time of Arrival
latex, 13 pages, 6 postscript figures
null
null
null
quant-ph
null
We propose a covariant algorithm for relativistic ideal measurements and for relativistic continuous measurements, its non-relativistic limit results the algorithm of the Event-Enhanced Quantum Theory. Therefore an additional intrinsic parameter, the proper time, is used. As an application we compute the time of arrival of a particle at a detector and find good agreement between the expected values of the time of arrival for weak detectors and the results of the relativistic point-mechanic over a wide range. For very high momentums there is a small probability for a negative time of arrival, so the expected times are a bit smaller than the results of the relativistic mechanics.
[ { "version": "v1", "created": "Mon, 13 Dec 1999 12:29:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Ruschhaupt", "Andreas", "" ] ]