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quant-ph/9804006
Matteo Buzzacchi
M. Buzzacchi, E. Del Giudice, G. Preparata
Sonoluminescence Unveiled ?
LaTeX, 3 postscript figures
null
null
null
quant-ph
null
The widening phenomenology of Single Bubble Sonoluminescence (SBSL) is shown to be in good agreement with a new approach to condensed matter, based on the QED coherent interactions. Some remarkable properties of SBSL are shown to emerge from the electromagnetic release of part of the latent heat of the water's vapour-liquid phase transition occurring at the bubble surface after it becomes supersonic.
[ { "version": "v1", "created": "Thu, 2 Apr 1998 08:16:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Buzzacchi", "M.", "" ], [ "Del Giudice", "E.", "" ], [ "Preparata", "G.", "" ] ]
quant-ph/9804007
Carlos Cabrillo
C. Cabrillo, J. L. Roldan, P. Garcia-Fernandez
Quantum noise reduction in singly resonant sub/second harmonic generation
3 two column pages, two figures
null
null
null
quant-ph physics.optics
null
We study the quantum noise in the harmonic mode of a singly resonant frequency doubler simultaneously driven in both modes. This simple extension of the frequency doubler greatly improves its performance as a bright squeezed light source. Specifically, for parameters corresponding to reported experiments, 80 % of noise suppression is easily achieved, the phase of the corresponding squeezed quadrature can be freely and easily chosen, and the output power is nearly doubled.
[ { "version": "v1", "created": "Thu, 2 Apr 1998 09:50:49 GMT" } ]
2016-09-08T00:00:00
[ [ "Cabrillo", "C.", "" ], [ "Roldan", "J. L.", "" ], [ "Garcia-Fernandez", "P.", "" ] ]
quant-ph/9804008
Andrew Gray
Andrew Gray
A Design for a Quantum Time Machine
This paper has been withdrawn
null
null
null
quant-ph
null
This paper has been retracted, for obvious reasons.
[ { "version": "v1", "created": "Thu, 2 Apr 1998 18:51:30 GMT" }, { "version": "v2", "created": "Sun, 8 Aug 2004 18:25:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Gray", "Andrew", "" ] ]
quant-ph/9804009
John Klauder
John R. Klauder (University of Florida)
Metrical Quantization
13 pages, LaTeX, no figures, to appear in Born X Proceedings
null
10.1007/BFb0105343
null
quant-ph hep-th math-ph math.MP
null
Canonical quantization may be approached from several different starting points. The usual approaches involve promotion of c-numbers to q-numbers, or path integral constructs, each of which generally succeeds only in Cartesian coordinates. All quantization schemes that lead to Hilbert space vectors and Weyl operators---even those that eschew Cartesian coordinates---implicitly contain a metric on a flat phase space. This feature is demonstrated by studying the classical and quantum ``aggregations'', namely, the set of all facts and properties resident in all classical and quantum theories, respectively. Metrical quantization is an approach that elevates the flat phase space metric inherent in any canonical quantization to the level of a postulate. Far from being an unwanted structure, the flat phase space metric carries essential physical information. It is shown how the metric, when employed within a continuous-time regularization scheme, gives rise to an unambiguous quantization procedure that automatically leads to a canonical coherent state representation. Although attention in this paper is confined to canonical quantization we note that alternative, nonflat metrics may also be used, and they generally give rise to qualitatively different, noncanonical quantization schemes.
[ { "version": "v1", "created": "Thu, 2 Apr 1998 22:10:42 GMT" } ]
2009-10-31T00:00:00
[ [ "Klauder", "John R.", "", "University of Florida" ] ]
quant-ph/9804010
David Meyer
David A. Meyer (University of California/San Diego)
Quantum strategies
8 pages, plain TeX, 1 figure
Phys.Rev.Lett. 82 (1999) 1052-1055
10.1103/PhysRevLett.82.1052
null
quant-ph
null
We consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). We introduce these basic ideas in the context of a simple example, closely related to the traditional Matching Pennies game. While not every two-person zero-sum finite game has an equilibrium in the set of pure strategies, von Neumann showed that there is always an equilibrium at which each player follows a mixed strategy. A mixed strategy deviating from the equilibrium strategy cannot increase a player's expected payoff. We show, however, that in our example a player who implements a quantum strategy can increase his expected payoff, and explain the relation to efficient quantum algorithms. We prove that in general a quantum strategy is always at least as good as a classical one, and furthermore that when both players use quantum strategies there need not be any equilibrium, but if both are allowed mixed quantum strategies there must be.
[ { "version": "v1", "created": "Fri, 3 Apr 1998 00:22:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Meyer", "David A.", "", "University of California/San Diego" ] ]
quant-ph/9804011
Paolo-Zanardi
Paolo Zanardi (1) ((1) Institute for Scientific Interchange Foundation, Villa Gualino, and Unit\`a INFM, Politecnico di Torino)
Quantum Cloning in $d$ dimensions
8 pages LaTeX, no figures
Phys.Rev. A58 (1998) 3484
10.1103/PhysRevA.58.3484
null
quant-ph
null
The quantum state space $\cal S$ over a $d$-dimensional Hilbert space is represented as a convex subset of a $D-1$-dimensional sphere $S_{D-1}\subset {\bf{R}}^D$, where $D=d^2-1.$ Quantum tranformations (CP-maps) are then associated with the affine transformations of ${\bf{R}}^D,$ and $N\mapsto M$ {\it cloners} induce polynomial mappings. In this geometrical setting it is shown that an optimal cloner can be chosen covariant and induces a map between reduced density matrices given by a simple contraction of the associated $D$-dimensional Bloch vectors.
[ { "version": "v1", "created": "Fri, 3 Apr 1998 07:04:39 GMT" }, { "version": "v2", "created": "Thu, 19 Nov 1998 17:34:32 GMT" }, { "version": "v3", "created": "Fri, 20 Nov 1998 09:13:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Zanardi", "Paolo", "" ] ]
quant-ph/9804012
Ariel Caticha
Ariel Caticha
Consistency, Amplitudes and Probabilities in Quantum Theory
23 pages, 3 figures (old version did not include the figures)
Phys.Rev. A57 (1998) 1572
10.1103/PhysRevA.57.1572
null
quant-ph cond-mat.stat-mech gr-qc
null
Quantum theory is formulated as the only consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if there are two different ways to compute an amplitude the two answers must agree. This constraint is expressed in the form of functional equations the solution of which leads to the usual sum and product rules for amplitudes. A consequence is that the Schrodinger equation must be linear: non-linear variants of quantum mechanics are inconsistent. The physical interpretation of the theory is given in terms of a single natural rule. This rule, which does not itself involve probabilities, is used to obtain a proof of Born's statistical postulate. Thus, consistency leads to indeterminism. PACS: 03.65.Bz, 03.65.Ca.
[ { "version": "v1", "created": "Fri, 3 Apr 1998 21:35:45 GMT" }, { "version": "v2", "created": "Sat, 4 Apr 1998 17:23:28 GMT" } ]
2016-09-08T00:00:00
[ [ "Caticha", "Ariel", "" ] ]
quant-ph/9804013
null
Guang-jiong Ni (Department of Physics, Fudan University and Shanghai, P. R. China)
To Enjoy the Morning Flower in the Evening -- Where is the Subtlety of Quantum Mechanics?
14 pages, LaTex, no figure
null
null
null
quant-ph
null
Why does the $i=\sqrt{-1}$ appear essentially in the quantum mechanics? Why are there operators and noncommutativity (the uncertainty relation) in the quantum mechanics? Why are these two aspects closely related and indivisible? In probing these problems, a new point of view is proposed tentatively.
[ { "version": "v1", "created": "Sun, 5 Apr 1998 09:08:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Ni", "Guang-jiong", "", "Department of Physics, Fudan University and Shanghai,\n P. R. China" ] ]
quant-ph/9804014
Hao
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Optimal quantum codes for preventing collective amplitude damping
14 pages, Latex
null
10.1103/PhysRevA.58.3491
null
quant-ph
null
Collective decoherence is possible if the departure between quantum bits is smaller than the effective wave length of the noise field. Collectivity in the decoherence helps us to devise more efficient quantum codes. We present a class of optimal quantum codes for preventing collective amplitude damping to a reservoir at zero temperature. It is shown that two qubits are enough to protect one bit quantum information, and approximately $L+ 1/2 \log_2((\pi L)/2)$ qubits are enough to protect $L$ qubit information when $L$ is large. For preventing collective amplitude damping, these codes are much more efficient than the previously-discovered quantum error correcting or avoiding codes.
[ { "version": "v1", "created": "Mon, 6 Apr 1998 09:59:46 GMT" } ]
2009-10-31T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9804015
Irene Marzoli
I. Marzoli (1), I. Bialynicki-Birula (2), O. M. Friesch (1), A. E. Kaplan (3)and W. P. Schleich (1) ((1) Universitaet Ulm, Ulm, Germany, (2) Center for Theoretical Physics, Warsaw, Poland, (3) The Johns Hopkins University, Baltimore, USA)
The Particle in the box: Intermode traces in the propagator
10 pages, 2 figures. It will appear in the Proc. of the PRL Golden Jubilee Conference on Nonlinear Dynamics and Computational Physics (Narosa Publishing House, New Delhi)
null
null
null
quant-ph
null
Characteristic structures such as canals and ridges --intermode traces-- emerge in the spacetime representation of the probability distribution of a particle in a one-dimensional box. We show that the corresponding propagator already contains these structures. We relate their visibility to the factorization property of the initial wave packet.
[ { "version": "v1", "created": "Mon, 6 Apr 1998 15:20:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Marzoli", "I.", "" ], [ "Bialynicki-Birula", "I.", "" ], [ "Friesch", "O. M.", "" ], [ "Kaplan", "A. E.", "" ], [ "Schleich", "and W. P.", "" ] ]
quant-ph/9804016
Paolo-Zanardi
Paolo Zanardi (1 and 2) and Fausto Rossi (1 and 3) ((1) Istituto Nazionale per la Fisica della Materia (INFM) (2) Institute for Scientific Interchange Foundation (ISI), and Unit\`a INFM, Politecnico di Torino (3) Dipartimento di Fisica, Universit\`a di Modena)
Quantum Information in Semiconductors: Noiseless Encoding in a Quantum-Dot Array
5 pages LaTeX, 3 encapsulated postscript figures. Final version accepted by PRL
Phys.Rev.Lett. 81 (1998) 4572-4575
10.1103/PhysRevLett.81.4752
null
quant-ph cond-mat
null
A potential implementation of quantum-computation schemes in semiconductor-based structures is proposed. In particular, an array of quantum dots is shown to be an ideal quantum register for a noiseless information encoding. In addition to the suppression of phase-breaking processes in quantum dots due to the well-known phonon bottleneck, we show that a proper quantum encoding allows to realise a decoherence-free evolution on a time-scale long compared to the femtosecond scale of modern ultrafast laser technology. This result might open the way to the realization of semiconductor-based quantum processors.
[ { "version": "v1", "created": "Mon, 6 Apr 1998 17:15:22 GMT" }, { "version": "v2", "created": "Fri, 20 Nov 1998 08:49:09 GMT" } ]
2009-10-31T00:00:00
[ [ "Zanardi", "Paolo", "", "1 and 2" ], [ "Rossi", "Fausto", "", "1 and 3" ] ]
quant-ph/9804017
Jozef Skvarcek
Mark Hillery and Jozef Skvarcek
Field Oscillations in a Micromaser with Injected Atomic Coherence
8 pages, 4 PostScript figures, LaTex2e document
null
10.1080/09500349808230664
Physics-HC-CUNY-98-04
quant-ph
null
The electric field in a lossless, regularly-pumped micromaser with injected atomic coherence can undergo a period 2 oscillations in the steady state. The field changes its value after a single atom passes through the micromaser cavity, but returns to its original value after a second atom travels through. We give a simple explanation for this phenomenon in terms of tangent and cotangent states. We also examine the effect of cavity damping on this steady state.
[ { "version": "v1", "created": "Mon, 6 Apr 1998 17:38:16 GMT" } ]
2015-06-26T00:00:00
[ [ "Hillery", "Mark", "" ], [ "Skvarcek", "Jozef", "" ] ]
quant-ph/9804018
Ady Stern
Yakir Aharonov (Tel-Aviv and South Carolina) Benni Reznik (Los Alamos) and Ady Stern (Weizmann)
Quantum limitations on superluminal propagation
RevTeX 4 pages
Phys.Rev.Lett. 81 (1998) 2190-2193
10.1103/PhysRevLett.81.2190
null
quant-ph cond-mat gr-qc hep-th
null
Unstable systems such as media with inverted atomic population have been shown to allow the propagation of analytic wavepackets with group velocity faster than that of light, without violating causality. We illuminate the important role played by unstable modes in this propagation, and show that the quantum fluctuations of these modes, and their unitary time evolution, impose severe restrictions on the observation of superluminal phenomena.
[ { "version": "v1", "created": "Tue, 7 Apr 1998 11:26:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Aharonov", "Yakir", "", "Tel-Aviv and South Carolina" ], [ "Reznik", "Benni", "", "Los Alamos" ], [ "Stern", "Ady", "", "Weizmann" ] ]
quant-ph/9804019
Comman area for Thpd
Arun Kumar Pati (Theory Phys Div., B.A.R.C., Mumbai, India)
Observability of relative phases of macroscopic quantum states
Latex file, no figures, 12 pages, submitted to Phys. Lett.A
null
null
null
quant-ph
null
After a measurement, to observe the relative phases of macroscopically distinguishable states we have to ``undo'' a quantum measurement. We generalise an earlier model of Peres from two state to N-state quantum system undergoing measurement process and discuss the issue of observing relative phases of different branches. We derive an inequality which is satisfied by the relative phases of macroscopically distinguishable states and consequently any desired relative phases can not be observed in interference setups. The principle of macroscopic complementarity is invoked that might be at ease with the macroscopic world. We illustrate the idea of limit on phase observability in Stern-Gerlach measurements and the implications are discussed.
[ { "version": "v1", "created": "Wed, 8 Apr 1998 06:44:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Pati", "Arun Kumar", "", "Theory Phys Div., B.A.R.C., Mumbai, India" ] ]
quant-ph/9804020
I. Rotter
C. Jung, M. Mueller and I. Rotter
Phase transitions in open quantum systems
28 pages, 22 Postscript figures
Phys.Rev. E60 (1999) 114-131
10.1103/PhysRevE.60.114
null
quant-ph
null
We consider the behaviour of open quantum systems in dependence on the coupling to one decay channel by introducing the coupling parameter $\alpha$ being proportional to the average degree of overlapping. Under critical conditions, a reorganization of the spectrum takes place which creates a bifurcation of the time scales with respect to the lifetimes of the resonance states. We derive analytically the conditions under which the reorganization process can be understood as a second-order phase transition and illustrate our results by numerical investigations. The conditions are fulfilled e.g. for a picket fence with equal coupling of the states to the continuum. Energy dependencies within the system are included. We consider also the generic case of an unfolded Gaussian Orthogonal Ensemble. In all these cases, the reorganization of the spectrum occurs at the critical value $\alpha_{crit}$ of the control parameter globally over the whole energy range of the spectrum. All states act cooperatively.
[ { "version": "v1", "created": "Wed, 8 Apr 1998 10:44:41 GMT" } ]
2009-10-31T00:00:00
[ [ "Jung", "C.", "" ], [ "Mueller", "M.", "" ], [ "Rotter", "I.", "" ] ]
quant-ph/9804021
Giacomo Mauro D'Ariano
G.M.D'Ariano, C. Macchiavello, L.Maccone (Dipartimento di Fisica ``A. Volta'', Pavia, Italy)
Quantum tomography of mesoscopic superpositions of radiation states
Submitted to Phys. Rev. Lett.; 4 pages including 6 ps figures
Phys.Rev.A59:1816,1999
10.1103/PhysRevA.59.1816
null
quant-ph
null
We show the feasibility of a tomographic reconstruction of Schr\"{o}dinger cat states generated according to the scheme proposed by S. Song, C.M. Caves and B. Yurke [Phys. Rev. A 41, 5261 (1990)]. We present a technique that tolerates realistic values for quantum efficiency at photodetectors. The measurement can be achieved by a standard experimental setup.
[ { "version": "v1", "created": "Wed, 8 Apr 1998 18:09:07 GMT" } ]
2011-05-12T00:00:00
[ [ "D'Ariano", "G. M.", "", "Dipartimento di Fisica ``A.\n Volta'', Pavia, Italy" ], [ "Macchiavello", "C.", "", "Dipartimento di Fisica ``A.\n Volta'', Pavia, Italy" ], [ "Maccone", "L.", "", "Dipartimento di Fisica ``A.\n Volta'', Pavia, Italy" ] ]
quant-ph/9804022
Carsten Henkel
Carsten Henkel and Jean-Yves Courtois (Institut d'Optique, Orsay, France)
Recoil and momentum diffusion of an atom close to a vacuum-dielectric interface
submitted to European Physical Journal D (26 pages, 8 figures, uses epsf.sty)
Eur. Phys. J. D 3 (1998) 129-153
10.1007/s100530050157
null
quant-ph
null
We derive the quantum-mechanical master equation (generalized optical Bloch equation) for an atom in the vicinity of a flat dielectric surface. This equation gives access to the semiclassical radiation pressure force and the atomic momentum diffusion tensor, that are expressed in terms of the vacuum field correlation function (electromagnetic field susceptibility). It is demonstrated that the atomic center-of-mass motion provides a nonlocal probe of the electromagnetic vacuum fluctuations. We show in particular that in a circularly polarized evanescent wave, the radiation pressure force experienced by the atoms is not colinear with the evanescent wave's propagation vector. In a linearly polarized evanescent wave, the recoil per fluorescence cycle leads to a net magnetization for a Jg = 1/2 ground state atom.
[ { "version": "v1", "created": "Thu, 9 Apr 1998 10:22:19 GMT" } ]
2021-08-06T00:00:00
[ [ "Henkel", "Carsten", "", "Institut d'Optique, Orsay,\n France" ], [ "Courtois", "Jean-Yves", "", "Institut d'Optique, Orsay,\n France" ] ]
quant-ph/9804023
David Meyer
David A. Meyer (University of California/San Diego)
Decoherence in the Dirac equation
8 pages, plain TeX, 6 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages)
null
null
null
quant-ph
null
A Dirac particle is represented by a unitarily evolving state vector in a Hilbert space which factors as $H_{spin} \otimes H_{position}$. Motivated by the similarity to simple models of decoherence consisting of a two state system coupled to an environment, we investigate the occurence of decoherence in the Dirac equation upon tracing over position. We conclude that the physics of this mathematically exact model for decoherence is closely related to Zitterbewegung.
[ { "version": "v1", "created": "Thu, 9 Apr 1998 19:12:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Meyer", "David A.", "", "University of California/San Diego" ] ]
quant-ph/9804024
Karol Zyczkowski
Karol Zyczkowski (Krakow), Pawel Horodecki (Gdansk), Anna Sanpera and Maciej Lewenstein (Saclay)
On the volume of the set of mixed entangled states
10 pages in LaTex - RevTex + 4 figures in eps. submitted to Phys. Rev. A
Phys.Rev. A58 (1998) 883
10.1103/PhysRevA.58.883
null
quant-ph
null
A natural measure in the space of density matrices describing N-dimensional quantum systems is proposed. We study the probability P that a quantum state chosen randomly with respect to the natural measure is not entangled (is separable). We find analytical lower and upper bounds for this quantity. Numerical calculations give P = 0.632 for N=4 and P=0.384 for N=6, and indicate that P decreases exponentially with N. Analysis of a conditional measure of separability under the condition of fixed purity shows a clear dualism between purity and separability: entanglement is typical for pure states, while separability is connected with quantum mixtures. In particular, states of sufficiently low purity are necessarily separable.
[ { "version": "v1", "created": "Thu, 9 Apr 1998 21:17:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Zyczkowski", "Karol", "", "Krakow" ], [ "Horodecki", "Pawel", "", "Gdansk" ], [ "Sanpera", "Anna", "", "Saclay" ], [ "Lewenstein", "Maciej", "", "Saclay" ] ]
quant-ph/9804025
Phil Gossett
Phil Gossett
NP in BQP with Nonlinearity
8 pages, no figures, several bugs fixed, added GR nonlinearity mechanism
null
null
SGI-98-5433-1c
quant-ph
null
If one modifies the laws of Quantum Mechanics to allow nonlinear evolution of quantum states, this paper shows that NP-complete problems would be efficiently solvable in polynomial time with bounded probability (NP in BQP). With that (admittedly very unlikely) assumption, this is demonstrated by describing a polynomially large network of quantum gates that solves the 3SAT problem with bounded probability in polynomial time. As in a previous paper by Abrams and Lloyd (but by a somewhat simpler argument), allowing nonlinearity in the laws of Quantum Mechanics would prove the "weak Church-Turing thesis" to be false. General Relativity is suggested as a possible mechanism to supply the necessary nonlinearity.
[ { "version": "v1", "created": "Thu, 9 Apr 1998 21:46:29 GMT" }, { "version": "v2", "created": "Mon, 13 Apr 1998 16:12:36 GMT" }, { "version": "v3", "created": "Mon, 27 Apr 1998 17:41:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Gossett", "Phil", "" ] ]
quant-ph/9804026
Akira Shimizu
Akira Shimizu and Kazuko Fujita (University of Tokyo)
First-kind measurements, non-demolition measurements, and conservation laws
7 pages including 1 figure. A typo (of the book version and the previous quant-ph version) in Eq. (9) has been fixed. Figure 1 has been included in the manuscript. Style parameters have been adjusted to fit both the A4 and US letter papers
Quantum Control and Measurement, H. Ezawa and Y. Murayama, eds., North-Holland, Amsterdam (1993) pp. 191-196
null
null
quant-ph
null
A general discussion is given for first-kind (FK) and quantum non-demolition (QND) measurements. The general conditions for these measurements are derived, including the most general one (called the weak condition), an intermediate one, and the strongest one. The weak condition indicates that we can realize a FK or QND measuring apparatus of wide classes of observables by allowing the apparatus to have a finite response range. A recently-proposed QND photodetector using an electron interferometer is an example of such apparatus.
[ { "version": "v1", "created": "Sat, 11 Apr 1998 05:31:22 GMT" }, { "version": "v2", "created": "Mon, 7 Jun 1999 09:51:23 GMT" }, { "version": "v3", "created": "Tue, 8 Jun 1999 01:19:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Shimizu", "Akira", "", "University of Tokyo" ], [ "Fujita", "Kazuko", "", "University of Tokyo" ] ]
quant-ph/9804027
Akira Shimizu
Akira Shimizu
Quantum Measurement and Fluctuations in Nanostructures
14 pages, 2 figures
Nanostructures and Quantum Effects, eds. H. Sakaki and H. Noge (Springer Verlag, Heidelberg, 1994) 35-47
null
null
quant-ph cond-mat.mes-hall physics.optics
null
Measurement and fluctuations are closely related to each other in quantum mechanics. This fact is explicitly demonstrated in the case of a quantum non-demolition photodetector which is composed of a double quantum-wire electron interferometer.
[ { "version": "v1", "created": "Sat, 11 Apr 1998 06:26:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Shimizu", "Akira", "" ] ]
quant-ph/9804028
Akira Shimizu
Akira Shimizu, Teruaki Okushima and Kazuki Koshino
Quantum Optics in Dispersive and Absorptive Media
8 pages, 3 figures Proc. 6th NEC Symposium on Fundamental Approaches to New Material Phases (Karuizawa, Japan 1996)
Mater.Sci.Eng.B48:66-70,1997
null
null
quant-ph cond-mat.mtrl-sci physics.optics
null
Using microscopic models in which both photons and excitons are treated as microscopic degrees of freedom, we discuss polaritons of two cases: One is the case when excitonic parameters are time dependent. The time dependence causes creation of polaritons from a "false vacuum." % We present the creation spectra of both % the lower- and upper-branch polaritons. It is shown that both the creation sepctra and the creation efficiency are much different from the results of the previous studies. The other is polaritons in absorptive and inhomogeneous cavities. A polariton in such a system cannot be viewed as a back and forth oscillation between a photon state and an exciton state.
[ { "version": "v1", "created": "Sat, 11 Apr 1998 07:37:49 GMT" } ]
2011-04-15T00:00:00
[ [ "Shimizu", "Akira", "" ], [ "Okushima", "Teruaki", "" ], [ "Koshino", "Kazuki", "" ] ]
quant-ph/9804029
Akira Shimizu
Akira Shimizu and Masamichi Yamanishi
Photon-energy dissipation caused by an external electric circuit in "virtual" photo-excitation processes
4 pages, 1 fugure
Phys.Rev.Lett. 72 (1994) 3343-3346
10.1103/PhysRevLett.72.3343
null
quant-ph cond-mat.mtrl-sci physics.optics
null
We consider generation of an electrical pulse by an optical pulse in the ``virtual excitation'' regime. The electronic system, which is any electro-optic material including a quantum well structure biased by a dc electric field, is assumed to be coupled to an external circuit. It is found that the photon frequency is subject to an extra red shift in addition to the usual self-phase modulation, whereas the photon number is conserved. The Joule energy consumed in the external circuit is supplied only from the extra red shift.
[ { "version": "v1", "created": "Sat, 11 Apr 1998 10:29:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Shimizu", "Akira", "" ], [ "Yamanishi", "Masamichi", "" ] ]
quant-ph/9804030
Carbonell
M. Mangin-Brinet, J. Carbonell and C. Gignoux
Exact boundary conditions at finite distance for the time-dependent Schrodinger equation
Latex.tar.gz file, 20 pages, 9 figures
null
10.1103/PhysRevA.57.3245
null
quant-ph
null
Exact boundary conditions at finite distance for the solutions of the time-dependent Schrodinger equation are derived. A numerical scheme based on Crank-Nicholson method is proposed to illustrate its applicability in several examples.
[ { "version": "v1", "created": "Sat, 11 Apr 1998 15:17:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Mangin-Brinet", "M.", "" ], [ "Carbonell", "J.", "" ], [ "Gignoux", "C.", "" ] ]
quant-ph/9804031
Asher Peres
Asher Peres and Daniel Terno
Optimal distinction between non-orthogonal quantum states
9 pages LaTeX, one PostScript figure on separate page
J.Phys.A31:7105-7112,1998
10.1088/0305-4470/31/34/013
null
quant-ph
null
Given a finite set of linearly independent quantum states, an observer who examines a single quantum system may sometimes identify its state with certainty. However, unless these quantum states are orthogonal, there is a finite probability of failure. A complete solution is given to the problem of optimal distinction of three states, having arbitrary prior probabilities and arbitrary detection values. A generalization to more than three states is outlined.
[ { "version": "v1", "created": "Sun, 12 Apr 1998 07:22:03 GMT" } ]
2009-09-25T00:00:00
[ [ "Peres", "Asher", "" ], [ "Terno", "Daniel", "" ] ]
quant-ph/9804032
Boris F. Samsonov
Vladislav G. Bagrov, Boris F. Samsonov and L. A. Shekoyan
N-order Darboux transformation and a spectral problem on semiaxis
null
null
null
null
quant-ph
null
N-order Darboux transformation operator is defined on the basis of a general notion of transformation operators. Factorisation properties of this operator are studied. The Darboux transformation operator technique is applied to construct and investigate potentials with bound states at arbitrary energies for the spectral problem on semiaxis.
[ { "version": "v1", "created": "Mon, 13 Apr 1998 04:50:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Bagrov", "Vladislav G.", "" ], [ "Samsonov", "Boris F.", "" ], [ "Shekoyan", "L. A.", "" ] ]
quant-ph/9804033
Andrea Nemes Salgueiro
K. Fonseca Romero (1), M. C. Nemes (2), J. G. Peixoto de Faria (2), A. N. Salgueiro (1), A. F. R. de Toledo Piza (1) ((1) Instituto de Fisica, Universidade de Sao Paulo (USP); (2) Departamento de Fisica, Univesidade federal de Minas Gerais (UFMG), Brazil)
Decoherence of mesoscopic states of cavity fields
quantum physics
null
10.1103/PhysRevA.58.3205
1305
quant-ph
null
We show that two-atom correlation measurements of the type involved in a recent experimental study of the evolution of a mesoscopic superposition state prepared in a definite mode of a high-Q cavity can be used to determine the eigenvalues of the reduced density matrix of the field, provided the assumed dynamical conditions are actually fulfilled to experimental accuracy. These conditions involve i) a purely dispersive coupling of the field to the Rydberg atoms used to manipulate and to monitor the cavity field, and ii) the effective absence of correlations in the ground state of the system consisting of the cavity coupled to the ``reservoir'' which accounts for the decoherence and damping processes. A microscopic calculation at zero temperature is performed and compared to master equation results.
[ { "version": "v1", "created": "Tue, 14 Apr 1998 19:37:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Romero", "K. Fonseca", "" ], [ "Nemes", "M. C.", "" ], [ "de Faria", "J. G. Peixoto", "" ], [ "Salgueiro", "A. N.", "" ], [ "Piza", "A. F. R. de Toledo", "" ] ]
quant-ph/9804034
Cristopher Moore
Cristopher Moore and Martin Nilsson
Some Notes on Parallel Quantum Computation
null
null
null
null
quant-ph
null
We exhibit some simple gadgets useful in designing shallow parallel circuits for quantum algorithms. We prove that any quantum circuit composed entirely of controlled-not gates or of diagonal gates can be parallelized to logarithmic depth, while circuits composed of both cannot. Finally, while we note the Quantum Fourier Transform can be parallelized to linear depth, we exhibit a simple quantum circuit related to it that we believe cannot be parallelized to less than linear depth, and therefore might be used to prove that QNC < QP.
[ { "version": "v1", "created": "Tue, 14 Apr 1998 20:10:45 GMT" }, { "version": "v2", "created": "Wed, 29 Apr 1998 17:41:14 GMT" } ]
2009-09-25T00:00:00
[ [ "Moore", "Cristopher", "" ], [ "Nilsson", "Martin", "" ] ]
quant-ph/9804035
James Anglin
J.R. Anglin and W.H. Zurek
Winding up by a quench: vortices in the wake of rapid Bose-Einstein condensation
4 pages, 2 figures; misprint corrected
Phys.Rev.Lett. 83 (1999) 1707-1710
10.1103/PhysRevLett.83.1707
wbq-1
quant-ph cond-mat hep-ph
null
A second order phase transition induced by a rapid quench can lock out topological defects with densities far exceeding their equilibrium expectation values. We use quantum kinetic theory to show that this mechanism, originally postulated in the cosmological context, and analysed so far only on the mean field classical level, should allow spontaneous generation of vortex lines in trapped Bose-Einstein condensates of simple topology, or of winding number in toroidal condensates.
[ { "version": "v1", "created": "Tue, 14 Apr 1998 23:51:28 GMT" }, { "version": "v2", "created": "Thu, 30 Apr 1998 18:09:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Anglin", "J. R.", "" ], [ "Zurek", "W. H.", "" ] ]
quant-ph/9804036
Shigeru Furuichi
Shigeru Furuichi, Masanori Ohya and Hiroki Suyari
Quantum mutual entropy for Jaynes-Cummings model
RevTeX, 4 pages with a figure(eps file), submitted to Physical Review Letters
Rept.Math.Phys.44:81-86,1999
10.1016/S0034-4877(99)80147-5
null
quant-ph
null
The dynamics of an atom on the Jaynes-Cummings model has been studied by an atomic inversion, von Neumann entropy and so on. In this letter, we will treat the Jaynes-Cummings model as a problem in non-equilibrium statistical mechanics and apply quantum mutual entropy to study the irreversible dynamics of a state for the atom on this model.
[ { "version": "v1", "created": "Wed, 15 Apr 1998 03:48:34 GMT" } ]
2011-04-15T00:00:00
[ [ "Furuichi", "Shigeru", "" ], [ "Ohya", "Masanori", "" ], [ "Suyari", "Hiroki", "" ] ]
quant-ph/9804037
Dr A. K. Kapoor
A.K.Kapoor and Pankaj Sharan
Hamiltonian path integral quantization in polar coordinates
15 pages, latex, no figures
null
null
null
quant-ph
null
Using a scheme proposed earlier we set up Hamiltonian path integral quantization for a particle in two dimensions in plane polar coordinates.This scheme uses the classical Hamiltonian, without any $O(\hbar^2)$ terms, in the polar varivables. We show that the propagator satisfies the correct Schr\"{o}dinger equation.
[ { "version": "v1", "created": "Wed, 15 Apr 1998 10:37:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Kapoor", "A. K.", "" ], [ "Sharan", "Pankaj", "" ] ]
quant-ph/9804038
Kevin M. Obenland
Kevin M. Obenland and Alvin M. Despain
Simulating the Effect of Decoherence and Inaccuracies on a Quantum Computer
12 pages, Presented at the 1st NASA conference on Quantum Computing and Quantum Communication
null
null
null
quant-ph
null
A Quantum Computer is a new type of computer which can solve problems such as factoring and database search very efficiently. The usefulness of a quantum computer is limited by the effect of two different types of errors, decoherence and inaccuracies. In this paper we show the results of simulations of a quantum computer which consider both decoherence and inaccuracies. We simulate circuits which factor the numbers 15, 21, 35, and 57 as well as circuits which use database search to solve the circuit satisfaction problem. Our simulations show that the error rate per gate is on the order of 10^-6 for a trapped ion quantum computer whose noise is kept below pi/4096 per gate and with a decoherence rate of 10^-6. This is an important bound because previous studies have shown that a quantum computer can factor more efficiently than a classical computer if the error rate is of order 10^-6.
[ { "version": "v1", "created": "Thu, 16 Apr 1998 02:31:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Obenland", "Kevin M.", "" ], [ "Despain", "Alvin M.", "" ] ]
quant-ph/9804039
Kevin M. Obenland
Kevin M. Obenland and Alvin M. Despain
A Parallel Quantum Computer Simulator
22 pages, Presented at High Performance Computing 1998
null
null
null
quant-ph
null
A Quantum Computer is a new type of computer which can efficiently solve complex problems such as prime factorization. A quantum computer threatens the security of public key encryption systems because these systems rely on the fact that prime factorization is computationally difficult. Errors limit the effectiveness of quantum computers. Because of the exponential nature of quantum com puters, simulating the effect of errors on them requires a vast amount of processing and memory resources. In this paper we describe a parallel simulator which accesses the feasibility of quantum computers. We also derive and validate an analytical model of execution time for the simulator, which shows that parallel quantum computer simulation is very scalable.
[ { "version": "v1", "created": "Thu, 16 Apr 1998 02:40:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Obenland", "Kevin M.", "" ], [ "Despain", "Alvin M.", "" ] ]
quant-ph/9804040
Luigi Foschini
Luigi Foschini
On the logic of quantum physics and the concept of the time
21 pages, no figures. Revised version, merged with quant-ph/9901013. Title is changed
null
null
null
quant-ph
null
The logic--linguistic structure of quantum physics is analysed. The role of formal systems and interpretations in the representation of nature is investigated. The problems of decidability, completeness, and consistency can affect quantum physics in different ways. Bohr's complementarity is of great interest,because it is a contradictory proposition. We shall see that the flowing of time prevents the birth of contradictions in nature, because it makes a cut between two different, but complementary aspects of the reality.
[ { "version": "v1", "created": "Thu, 16 Apr 1998 15:10:54 GMT" }, { "version": "v2", "created": "Tue, 5 May 1998 10:31:18 GMT" }, { "version": "v3", "created": "Tue, 21 Jul 1998 14:05:44 GMT" }, { "version": "v4", "created": "Sun, 16 Dec 2001 10:54:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Foschini", "Luigi", "" ] ]
quant-ph/9804041
Jose L. Mateos
G. Garcia-Calderon, J. L. Mateos and M. Moshinsky (Instituto de Fisica, UNAM, Mexico)
Reply to the Comment on "Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities"
1 page, RevTex file, to appear in Phys. Rev. Lett
Phys.Rev.Lett. 80 (1998) 4354
10.1103/PhysRevLett.80.4354
IFUNAM-SC98-04
quant-ph
null
In our paper [Phys. Rev. Lett. 74, 337 (1995)], we derived an exact expression for the survival and nonescape probabilities as an expansion in terms of resonant states. It was shown that these quantities exhibit at long times a different behavior. Although both decay as a power law, they have different exponents. In this paper we show that, contrary to the claim in the Comment of R. M. Cavalcanti (quant-ph/9704023), the nonescape probability decay for long times as an inverse power law.
[ { "version": "v1", "created": "Fri, 17 Apr 1998 00:08:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Garcia-Calderon", "G.", "", "Instituto de\n Fisica, UNAM, Mexico" ], [ "Mateos", "J. L.", "", "Instituto de\n Fisica, UNAM, Mexico" ], [ "Moshinsky", "M.", "", "Instituto de\n Fisica, UNAM, Mexico" ] ]
quant-ph/9804042
Matrasulov Davron
D.Matrasulov
Wave Functions and Energy Terms of the SCHR\"Odinger Equation with Two-Center Coulomb Plus Harmonic Oscillator Potential
4 pages, no figures, LaTeX, submitted to PRL
null
10.1007/BF02557178
null
quant-ph
null
Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter separations. Asymptotical expansions for energy term and wave function are obtained in the analytical form.
[ { "version": "v1", "created": "Fri, 17 Apr 1998 05:27:53 GMT" } ]
2009-10-31T00:00:00
[ [ "Matrasulov", "D.", "" ] ]
quant-ph/9804043
Ashwin Nayak
Andris Ambainis, Ashwin Nayak, Amnon Ta-Shma, Umesh Vazirani
Dense Quantum Coding and a Lower Bound for 1-way Quantum Automata
12 pages, 3 figures. Defines random access codes, gives upper and lower bounds for the number of bits required for such (possibly quantum) codes. Derives the size lower bound for quantum finite automata of the earlier version of the paper using these results
null
null
null
quant-ph cs.CC
null
We consider the possibility of encoding m classical bits into much fewer n quantum bits so that an arbitrary bit from the original m bits can be recovered with a good probability, and we show that non-trivial quantum encodings exist that have no classical counterparts. On the other hand, we show that quantum encodings cannot be much more succint as compared to classical encodings, and we provide a lower bound on such quantum encodings. Finally, using this lower bound, we prove an exponential lower bound on the size of 1-way quantum finite automata for a family of languages accepted by linear sized deterministic finite automata.
[ { "version": "v1", "created": "Sat, 18 Apr 1998 00:39:22 GMT" }, { "version": "v2", "created": "Wed, 25 Nov 1998 03:06:13 GMT" } ]
2019-08-17T00:00:00
[ [ "Ambainis", "Andris", "" ], [ "Nayak", "Ashwin", "" ], [ "Ta-Shma", "Amnon", "" ], [ "Vazirani", "Umesh", "" ] ]
quant-ph/9804044
Valerio Scarani
Valerio Scarani (EPF Lausanne)
Quantum Computing
10 pages, 0 figures; didactic review; Am.J.Phys. 66, Nov. 98, 956-960, with updated references
null
10.1119/1.19005
VS-97-02
quant-ph
null
The main features of quantum computing are described in the framework of spin resonance methods. Stress is put on the fact that quantum computing is in itself nothing but a re-interpretation (fruitful indeed) of well-known concepts. The role of the two basic operations, one-spin rotation and controlled-NOT gates, is analyzed, and some exercises are proposed.
[ { "version": "v1", "created": "Mon, 20 Apr 1998 07:27:35 GMT" }, { "version": "v2", "created": "Tue, 6 Oct 1998 07:04:59 GMT" } ]
2009-10-31T00:00:00
[ [ "Scarani", "Valerio", "", "EPF Lausanne" ] ]
quant-ph/9804045
Nicolas Gisin
N. Gisin and H. Bechmann-Pasquinucci
Bell inequality, Bell states and maximally entangled states for n qubits
8 pages, no figure
Phys.Lett. A246 (1998) 1-6
10.1016/S0375-9601(98)00516-7
null
quant-ph
null
First, we present a Bell type inequality for n qubits, assuming that m out of the n qubits are independent. Quantum mechanics violates this inequality by a ratio that increases exponentially with m. Hence an experiment on n qubits violating of this inequality sets a lower bound on the number m of entangled qubits. Next, we propose a definition of maximally entangled states of n qubits. For this purpose we study 5 different criteria. Four of these criteria are found compatible. For any number n of qubits, they determine an orthogonal basis consisting of maximally entangled states generalizing the Bell states.
[ { "version": "v1", "created": "Mon, 20 Apr 1998 09:18:42 GMT" } ]
2009-10-31T00:00:00
[ [ "Gisin", "N.", "" ], [ "Bechmann-Pasquinucci", "H.", "" ] ]
quant-ph/9804046
null
M. Daoud, Y. Hassouni and M. Kibler
On Generalized Super-Coherent States
9 pages, Latex file. Submitted for publication to Yadernaya Fizika (Russian Journal of Nuclear Physics)
Phys.Atom.Nucl.61:1821-1824,1998; Yad.Fiz.61:1935-1938,1998
null
null
quant-ph hep-th math-ph math.MP math.QA
null
A set of operators, the so-called k-fermion operators, that interpolate between boson and fermion operators are introduced through the consideration of an algebra arising from two non-commuting quon algebras. The deformation parameters q and 1/q for these quon algebras are roots of unity with q to the power k being equal to 1. The case k = 2 corresponds to fermions and the case k going to infinity to bosons. Generalized coherent states (connected to the k-fermionic states) and super-coherent states (involving a k-fermionic sector and a purely bosonic sector) are investigated.
[ { "version": "v1", "created": "Mon, 20 Apr 1998 12:45:55 GMT" } ]
2011-04-15T00:00:00
[ [ "Daoud", "M.", "" ], [ "Hassouni", "Y.", "" ], [ "Kibler", "M.", "" ] ]
quant-ph/9804047
Subhash Kak
Subhash Kak
Quantum Information in a Distributed Apparatus
10 pages
Found.Phys.28:1005-1012,1998
10.1023/A:1018877532212
ECE 96-12
quant-ph
null
We investigate the information provided about a specified distributed apparatus of n units in the measurement of a quantum state. It is shown that, in contrast to such measurement of a classical state, which is bounded by log (n+1) bits, the information in a quantum measurement is bounded by 3.7 x n^(1/2) bits. This means that the use of quantum apparatus offers an exponential advantage over classical apparatus.
[ { "version": "v1", "created": "Mon, 20 Apr 1998 16:13:47 GMT" } ]
2014-11-18T00:00:00
[ [ "Kak", "Subhash", "" ] ]
quant-ph/9804048
Daniel F. V. James
Daniel F. V. James (Los Alamos National Laboratory)
The theory of heating of the quantum ground state of trapped ions
9 pages, 2 figures
Phys.Rev.Lett. 81 (1998) 317-320
10.1103/PhysRevLett.81.317
LA-UR 98-654
quant-ph
null
Using a displacement operator formalism, I analyse the depopulation of the vibrational ground state of trapped ions. Two heating times, one characterizing short time behaviour, the other long time behaviour are found. The short time behaviour is analyzed both for single and multiple ions, and a formula for the relative heating rates of different modes is derived. The possibility of correction of heating via the quantum Zeno effect, and the exploitation of the suppression of heating of higher modes to reduce errors in quantum computation is considered.
[ { "version": "v1", "created": "Mon, 20 Apr 1998 17:56:59 GMT" } ]
2009-10-31T00:00:00
[ [ "James", "Daniel F. V.", "", "Los Alamos National Laboratory" ] ]
quant-ph/9804049
John Klauder
John R. Klauder and Sergei V. Shabanov
An Introduction to Coordinate-free Quantization and its Application to Constrained Systems
12 pages, LaTeX, no figures
null
null
null
quant-ph hep-th math-ph math.MP
null
Canonical quantization entails using Cartesian coordinates, and Cartesian coordinates exist only in flat spaces. This situation can either be questioned or accepted. In this paper we offer a brief and introductory overview of how a flat phase space metric can be incorporated into a covariant, coordinate-free quantization procedure involving a continuous-time (Wiener measure) regularization of traditional phase space path integrals. Additionally we show how such procedures can be extended to incorporate systems with constraints and illustrate that extension for special systems.
[ { "version": "v1", "created": "Tue, 21 Apr 1998 17:30:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Klauder", "John R.", "" ], [ "Shabanov", "Sergei V.", "" ] ]
quant-ph/9804050
Konrad Banaszek
Konrad Banaszek (Uniwersytet Warszawski)
Reconstruction of photon distribution with positivity constraints
6 pages, LaTeX. Submitted to Special Issue of Acta Physica Slovaca on Quantum Optics and Quantum Information
Acta Phys.Slov. 48 (1998) 185-190
null
null
quant-ph
null
An iterative algorithm for reconstructing the photon distribution from the random phase homodyne statistics is discussed. This method, derived from the maximum-likelihood approach, yields a positive definite estimate for the photon distribution with bounded statistical errors even if numerical compensation for the detector imperfection is applied.
[ { "version": "v1", "created": "Wed, 22 Apr 1998 12:28:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Banaszek", "Konrad", "", "Uniwersytet Warszawski" ] ]
quant-ph/9804051
Hiroshi Fujisaki
Hiroshi Fujisaki and Akira Shimizu
Quantum Langevin equations for semiconductor light-emitting devices and the photon statistics at a low-injection level
10 pages, 8 figures
Phys.Rev. A57 (1998) 3074
10.1103/PhysRevA.57.3074
null
quant-ph
null
From the microscopic quantum Langevin equations (QLEs) we derive the effective semiconductor QLEs and the associated noise correlations which are valid at a low-injection level and in real devices. Applying the semiconductor QLEs to semiconductor light-emitting devices (LEDs), we obtain a new formula for the Fano factor of photons which gives the photon-number statistics as a function of the pump statistics and several parameters of LEDs. Key ingredients are non-radiative processes, carrier-number dependence of the radiative and non-radiative lifetimes, and multimodeness of LEDs. The formula is applicable to the actual cases where the quantum efficiency $\eta$ differs from the differential quantum efficiency $\eta_{d}$, whereas previous theories implicitly assumed $\eta = \eta_{d}$. It is also applicable to the cases when photons in each mode of the cavity are emitted and/or detected inhomogeneously. When $\eta_{d} < \eta$ at a running point, in particular, our formula predicts that even a Poissonian pump can produce sub-Poissonian light. This mechanism for generation of sub-Poissonian light is completely different from those of previous theories, which assumed sub-Poissonian statistics for the current injected into the active layers of LEDs. Our results agree with recent experiments. We also discuss frequency dependence of the photon statistics.
[ { "version": "v1", "created": "Wed, 22 Apr 1998 12:32:42 GMT" } ]
2009-10-31T00:00:00
[ [ "Fujisaki", "Hiroshi", "" ], [ "Shimizu", "Akira", "" ] ]
quant-ph/9804052
M. Czachor
Sergei B. Leble and Marek Czachor (Politechnika Gdanska)
Darboux-integrable nonlinear Liouville-von Neumann equation
Explicit examples added (harmonic oscillator, two spin-1/2 particles, matrix Hamiltonians,...)
Phys.Rev. E58 (1998) 7091-7100
10.1103/PhysRevE.58.7091
null
quant-ph math-ph math.MP nlin.SI solv-int
null
A new form of a binary Darboux transformation is used to generate analytical solutions of a nonlinear Liouville-von Neumann equation. General theory is illustrated by explicit examples.
[ { "version": "v1", "created": "Wed, 22 Apr 1998 13:58:21 GMT" }, { "version": "v2", "created": "Mon, 4 May 1998 10:35:59 GMT" }, { "version": "v3", "created": "Fri, 12 Jun 1998 09:05:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Leble", "Sergei B.", "", "Politechnika Gdanska" ], [ "Czachor", "Marek", "", "Politechnika Gdanska" ] ]
quant-ph/9804053
David DiVincenzo
Charles H. Bennett (1), David P. DiVincenzo (1), Christopher A. Fuchs (2), Tal Mor (3), Eric Rains (4), Peter W. Shor (4), John A. Smolin (1), William K. Wootters (5) ((1) IBM, (2) Cal Tech, (3) U. Montreal, (4) AT&T, (5) Williams)
Quantum Nonlocality without Entanglement
27 pages, Latex, 6 ps figures. To be submitted to Phys. Rev. A. Version 2: 30 pages, many small revisions and extensions, author added. Version 3: Proof in Appendix D corrected, many small changes; final version for Phys. Rev. A Version 4: Report of Popescu conjecture modified
null
10.1103/PhysRevA.59.1070
null
quant-ph cond-mat.mes-hall
null
We exhibit an orthogonal set of product states of two three-state particles that nevertheless cannot be reliably distinguished by a pair of separated observers ignorant of which of the states has been presented to them, even if the observers are allowed any sequence of local operations and classical communication between the separate observers. It is proved that there is a finite gap between the mutual information obtainable by a joint measurement on these states and a measurement in which only local actions are permitted. This result implies the existence of separable superoperators that cannot be implemented locally. A set of states are found involving three two-state particles which also appear to be nonmeasurable locally. These and other multipartite states are classified according to the entropy and entanglement costs of preparing and measuring them by local operations.
[ { "version": "v1", "created": "Wed, 22 Apr 1998 14:14:39 GMT" }, { "version": "v2", "created": "Wed, 17 Jun 1998 14:52:38 GMT" }, { "version": "v3", "created": "Mon, 28 Sep 1998 13:10:35 GMT" }, { "version": "v4", "created": "Mon, 2 Nov 1998 17:02:40 GMT" } ]
2009-10-31T00:00:00
[ [ "Bennett", "Charles H.", "" ], [ "DiVincenzo", "David P.", "" ], [ "Fuchs", "Christopher A.", "" ], [ "Mor", "Tal", "" ], [ "Rains", "Eric", "" ], [ "Shor", "Peter W.", "" ], [ "Smolin", "John A.", "" ], [ "Wootters", "William K.", "" ] ]
quant-ph/9804054
Hans Thomas Elze
Hans-Thomas Elze
The Functional Derivation of Master Equations
10 pages; LaTex. - Contribution to the workshop Hadron Physics VI, March 1998, Florianopolis (Brazil); proceedings, E. Ferreira et al., eds. (World Scientific). Replaced by slightly modified published version
Mod. Phys. Lett. A, Vol. 14, No. 32 (1999) pp. 2259-2267
10.1142/S0217732399002340
null
quant-ph gr-qc nucl-th
null
Master equations describe the quantum dynamics of open systems interacting with an environment. They play an increasingly important role in understanding the emergence of semiclassical behavior and the generation of entropy, both being related to quantum decoherence. Presently we derive the exact master equation for a homogeneous scalar Higgs or inflaton like field coupled to an environment field represented by an infinite set of harmonic oscillators. Our aim is to demonstrate a derivation directly from the path integral representation of the density matrix propagator. Applications and generalizations of this result are discussed.
[ { "version": "v1", "created": "Wed, 22 Apr 1998 17:29:46 GMT" }, { "version": "v2", "created": "Thu, 30 Apr 1998 18:40:09 GMT" }, { "version": "v3", "created": "Mon, 10 Jan 2000 20:35:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Elze", "Hans-Thomas", "" ] ]
quant-ph/9804055
Larry Ford
L.H. Ford
Casimir Force between a Dielectric Sphere and a Wall: A Model for Amplification of Vacuum Fluctuations
18pp, LaTex, 7 figures, uses epsf. Several minor errors corrected, additional comments added in the final two sections, and references updated
Phys. Rev. A, 58 (1998) 4279
10.1103/PhysRevA.58.4279
null
quant-ph cond-mat hep-th
null
The interaction between a polarizable particle and a reflecting wall is examined. A macroscopic approach is adopted in which the averaged force is computed from the Maxwell stress tensor. The particular case of a perfectly reflecting wall and a sphere with a dielectric function given by the Drude model is examined in detail. It is found that the force can be expressed as the sum of a monotonically decaying function of position and of an oscillatory piece. At large separations, the oscillatory piece is the dominant contribution, and is much larger than the Casimir-Polder interaction that arises in the limit that the sphere is a perfect conductor. It is argued that this enhancement of the force can be interpreted in terms of the frequency spectrum of vacuum fluctuations. In the limit of a perfectly conducting sphere, there are cancellations between different parts of the spectrum which no longer occur as completely in the case of a sphere with frequency dependent polarizability. Estimates of the magnitude of the oscillatory component of the force suggest that it may be large enough to be observable.
[ { "version": "v1", "created": "Wed, 22 Apr 1998 20:16:22 GMT" }, { "version": "v2", "created": "Thu, 22 Oct 1998 19:59:14 GMT" } ]
2009-10-31T00:00:00
[ [ "Ford", "L. H.", "" ] ]
quant-ph/9804056
Larry Ford
L.H. Ford and N.F. Svaiter
Vacuum Energy Density near Fluctuating Boundaries
16pp, LaTex, 3 figures, uses epsf, Three references added and several misprints corrected
Phys.Rev. D58 (1998) 065007
10.1103/PhysRevD.58.065007
CBPF-NF/007/98
quant-ph gr-qc hep-th
null
The imposition of boundary conditions upon a quantized field can lead to singular energy densities on the boundary. We treat the boundaries as quantum mechanical objects with a nonzero position uncertainty, and show that the singular energy density is removed. This treatment also resolves a long standing paradox concerning the total energy of the minimally coupled and conformally coupled scalar fields.
[ { "version": "v1", "created": "Thu, 23 Apr 1998 01:11:25 GMT" }, { "version": "v2", "created": "Tue, 2 Jun 1998 21:41:48 GMT" } ]
2009-10-31T00:00:00
[ [ "Ford", "L. H.", "" ], [ "Svaiter", "N. F.", "" ] ]
quant-ph/9804057
Comman area for Thpd
Arun Kumar Pati (Theory Division, BARC, Mumbai, India)
Adiabatic Berry Phase and Hannay Angle for Open Paths
Latex, no figures, 24 pages, submitted to Ann. Phys
Annals Phys.270:178-197,1998
10.1006/aphy.1998.5850
null
quant-ph
null
We obtain the adiabatic Berry phase by defining a generalised gauge potential whose line integral gives the phase holonomy for arbitrary evolutions of parameters. Keeping in mind that for classical integrable systems it is hardly clear how to obtain open-path Hannay angle, we establish a connection between the open-path Berry phase and Hannay angle by using the parametrised coherent state approach. Using the semiclassical wavefunction we analyse the open-path Berry phase and obtain the open-path Hannay angle. Further, by expressing the adiabatic Berry phase in terms of the commutator of instantaneous projectors with its differential and using Wigner representation of operators we obtain the Poisson bracket between distribution function and its differential. This enables us to talk about the classical limit of the phase holonomy which yields the angle holonomy for open-paths. An operational definition of Hannay angle is provided based on the idea of classical limit of quantum mechanical inner product. A probable application of the open-path Berry phase and Hannay angle to wave-packet revival phenomena is also pointed out.
[ { "version": "v1", "created": "Thu, 23 Apr 1998 11:00:32 GMT" } ]
2011-07-19T00:00:00
[ [ "Pati", "Arun Kumar", "", "Theory Division, BARC, Mumbai, India" ] ]
quant-ph/9804058
Tamas Geszti
Tam\'as Geszti (Budapest)
Interaction-free measurement and forward scattering
4 pages in RevTex + 1 figure in eps; submitted to Phys. Rev. A since 09Jan98; now updated
null
10.1103/PhysRevA.58.4206
null
quant-ph
null
Interaction-free measurement is shown to arise from the forward-scattered wave accompanying absorption: a "quantum silhouette" of the absorber. Accordingly, the process is not free of interaction. For a perfect absorber the forward-scattered wave is locked both in amplitude and in phase. For an imperfect one it has a nontrivial phase of dynamical origin (``colored silhouette"), measurable by interferometry. Other examples of quantum silhouettes, all controlled by unitarity, are briefly discussed.
[ { "version": "v1", "created": "Thu, 23 Apr 1998 13:35:33 GMT" } ]
2009-10-31T00:00:00
[ [ "Geszti", "Tamás", "", "Budapest" ] ]
quant-ph/9804059
Kracklauer
A. F. Kracklauer
Skirting Hidden-Variable No-Go Theorems
5 pages, RevTeX This revision includes one major conceptual addition to Section IV: a novel semiclassical model of the EPR experiment. In addition, many typos, glitches and expository defects were corrected
null
null
20-4-98
quant-ph
null
It is observed that the proofs of hidden-variable no-go theorems depend on the `projection postulate,' which is seen to be contradictory with respect to spin operators in directions orthogonal to the magnetic field direction. In this light it is argued that it is less costly to abandon the projection postulate than to abandon locality and this in turn renders Hidden-Variable No-Go Theorems evadible. To buttress this point, a local realist model of the EPR experiment which ignores the constraints of the projection postulate is presented.
[ { "version": "v1", "created": "Fri, 24 Apr 1998 13:50:15 GMT" }, { "version": "v2", "created": "Fri, 2 Oct 1998 00:50:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Kracklauer", "A. F.", "" ] ]
quant-ph/9804060
Leonard J. Schulman
Leonard J. Schulman, Umesh Vazirani
Scalable NMR Quantum Computation
16 pages, no figures. An updated "extended abstract" of this paper appears in Proc. 31'st ACM STOC (Symp. Theory of Computing), 322-329, 1999
null
null
null
quant-ph
null
Nuclear magnetic resonance offers an appealing prospect for implementation of quantum computers, because of the long coherence times associated with nuclear spins, and extensive laboratory experience in manipulating the spins with radio frequency pulses. Existing proposals, however, suffer from a signal-to-noise ratio that decays exponentially in the number of qubits in the quantum computer. This places a severe limit on the size of the computations that can be performed by such a computer; estimates of that limit are well within the range in which a conventional computer taking exponentially more steps would still be practical. We give an NMR implementation in which the signal-to-noise ratio depends only on features of NMR technology, not the size of the computer. This provides a means for NMR computation techniques to scale to sizes at which the exponential speedup enables quantum computation to solve problems beyond the capabilities of classical computers.
[ { "version": "v1", "created": "Fri, 24 Apr 1998 21:44:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Schulman", "Leonard J.", "" ], [ "Vazirani", "Umesh", "" ] ]
quant-ph/9804061
Michael Kleckner
M. Kleckner, A. Ron (Technion - Israel Institute of Technology)
Evanescent Waves are Not Superluminal
9 pages, 3 figures
null
null
null
quant-ph
null
It is demonstrated that an electromagnetic pulse, which is made to tunnel trough a barrier, would not be photo-detected before an identical pulse, which travels the same distance in vacuum.
[ { "version": "v1", "created": "Sun, 26 Apr 1998 10:44:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Kleckner", "M.", "", "Technion - Israel Institute of Technology" ], [ "Ron", "A.", "", "Technion - Israel Institute of Technology" ] ]
quant-ph/9804062
Bozhidar Zakhariev Iliev
Bozhidar Z. Iliev (Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria)
Fibre bundle formulation of nonrelativistic quantum mechanics. II. Equations of motion and observables
19 standard (11pt, A4) LaTeX 2e pages. The packages AMS-LaTeX and amsfonts are required. New material, references and comments are added. Minor style chages. Continuation of quan-ph/9803083 and quan-ph/9803084. For continuation of the series see http://www.inrne.bas.bg/mathmod/bozhome/
J.Phys.A34:4919-4934,2001
10.1088/0305-4470/34/23/309
null
quant-ph gr-qc hep-th
null
We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the modern trends in theoretical physics and potentially admits new generalizations in different directions. In it a pure state of some quantum system is described by a state section (along paths) of a (Hilbert) fibre bundle. Its evolution is determined through the bundle (analogue of the) Schr\"odinger equation. Now the dynamical variables and the density operator are described via bundle morphisms (along paths). The mentioned quantities are connected by a number of relations derived in this work. In the second part of this investigation we derive several forms of the bundle (analogue of the) Schr\"odinger equation governing the time evolution of state sections. We prove that up to a constant the matrix-bundle Hamiltonian, entering in the bundle analogue of the matrix form of the conventional Schr\"odinger equation, coincides with the matrix of coefficients of the evolution transport. This allows to interpret the Hamiltonian as a gauge field. Here we also apply the bundle approach to the description of observables. It is shown that to any observable there corresponds a unique Hermitian bundle morphism (along paths) and vice versa.
[ { "version": "v1", "created": "Sun, 26 Apr 1998 11:56:47 GMT" }, { "version": "v2", "created": "Wed, 21 Oct 1998 16:52:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Iliev", "Bozhidar Z.", "", "Institute for Nuclear Research and Nuclear Energy,\n Bulgarian Academy of Sciences, Sofia, Bulgaria" ] ]
quant-ph/9804063
Mireille Calvet
B. d'Espagnat
Reply to Aharonov and Anandan's "Meaning of the Density Matrix"
Latex, 13 pages, no figures
null
null
LPTHE Orsay 98-28
quant-ph
null
Aharonov and Anandan's claim that the notion of ``proper mixture'' is improper is shown to be unjustified. The point is made that if a purely operationalist standpoint is taken the three difficulties these authors describe relatively to the conventional interpretation of density matrices in fact vanish. It is noted that nevertheless it is very difficult for us to do without any form of realism, in particular when the quantum measurement problem is considered, and it is stressed that the proper mixture notion comes in precisely at this level. The more general question of the real bearing of Aharonov and Anandan's ideas on the interpretation of quantum mechanics problem is considered.
[ { "version": "v1", "created": "Mon, 27 Apr 1998 08:54:17 GMT" } ]
2007-05-23T00:00:00
[ [ "d'Espagnat", "B.", "" ] ]
quant-ph/9804064
Hao
Lu-Ming Duan and Guang-Can Guo (University of Science and Technology of China)
Probabilistic cloning and identification of linearly independent quantum states
Extension of quant-ph/9705018, 12pages, latex, to appear in Phys. Rev. Lett
Phys.Rev.Lett. 80 (1998) 4999-5002
10.1103/PhysRevLett.80.4999
null
quant-ph
null
We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly chosen from a certain set $\$=\left\{\left| \Psi_1\right> ,\left| \Psi_2\right> ,... ,\left| \Psi_n\right> \right\} $ can be probabilistically cloned if and only if $% \left| \Psi_1\right>$, $\left| \Psi_2\right>$, $... ,$ and $\left| \Psi_n\right>$ are linearly-independent. We derive the best possible cloning efficiencies. Probabilistic cloning has close connection with the problem of identification of a set of states, which is a type of $n+1$ outcome measurement on $n$ linearly independent states. The optimal efficiencies for this type of measurement are obtained.
[ { "version": "v1", "created": "Mon, 27 Apr 1998 10:03:09 GMT" } ]
2009-10-31T00:00:00
[ [ "Duan", "Lu-Ming", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9804065
Stewart E. Barnes
S. E. Barnes
Efficient quantum computing on low temperature spin ensembles
8 pages no figures
null
null
null
quant-ph
null
A new scheme is proposed which will permit electron spin resonance pulse techniques to be used to realize a quantum computer with a 100 qbits, or more. The computation is performed on effective pure states which correspond to off-diagonal blocks of the density matrix. Described is a scheme which very efficiently performs the preparation stage and which permits ``pseudo-projective measurement'' to be made on the output. With such measurements all members of the ensemble remain coherent.
[ { "version": "v1", "created": "Mon, 27 Apr 1998 20:44:22 GMT" }, { "version": "v2", "created": "Sun, 24 May 1998 15:43:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Barnes", "S. E.", "" ] ]
quant-ph/9804066
Ashwin Nayak
Ashwin Nayak, Felix Wu
The quantum query complexity of approximating the median and related statistics
20 pages. Preliminary draft. Extends results of previous version to several other problems, and gives some new upper bounds
null
null
null
quant-ph cs.CC
null
Let X = (x_0,...,x_{n-1})$ be a sequence of n numbers. For \epsilon > 0, we say that x_i is an \epsilon-approximate median if the number of elements strictly less than x_i, and the number of elements strictly greater than x_i are each less than (1+\epsilon)n/2. We consider the quantum query complexity of computing an \epsilon-approximate median, given the sequence X as an oracle. We prove a lower bound of \Omega(\min{{1/\epsilon},n}) queries for any quantum algorithm that computes an \epsilon-approximate median with any constant probability greater than 1/2. We also show how an \epsilon-approximate median may be computed with O({1/\epsilon}\log({1\/\epsilon}) \log\log({1/\epsilon})) oracle queries, which represents an improvement over an earlier algorithm due to Grover. Thus, the lower bound we obtain is essentially optimal. The upper and the lower bound both hold in the comparison tree model as well. Our lower bound result is an application of the polynomial paradigm recently introduced to quantum complexity theory by Beals et al. The main ingredient in the proof is a polynomial degree lower bound for real multilinear polynomials that ``approximate'' symmetric partial boolean functions. The degree bound extends a result of Paturi and also immediately yields lower bounds for the problems of approximating the kth-smallest element, approximating the mean of a sequence of numbers, and that of approximately counting the number of ones of a boolean function. All bounds obtained come within polylogarithmic factors of the optimal (as we show by presenting algorithms where no such optimal or near optimal algorithms were known), thus demonstrating the power of the polynomial method.
[ { "version": "v1", "created": "Wed, 29 Apr 1998 02:00:07 GMT" }, { "version": "v2", "created": "Sun, 15 Nov 1998 01:36:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Nayak", "Ashwin", "" ], [ "Wu", "Felix", "" ] ]
quant-ph/9804067
Boris F. Samsonov
Vladislav G. Bagrov and Boris F. Samsonov
Supercoherent States of Calogero-Sutherland Oscillator
Talk at the International Workshop on Quantum Systems: New Trends and Methods 3-7 june 1996. See Proceedings book published by World-Scientific Singapore 1997, P.15-25
null
null
null
quant-ph
null
Supersymmetric quantum mechanical model of Calogero-Sutherlend singular oscillator is constructed. Supercoherent states are defined with the help of supergroup displacement operator. They are proper states of a fermionic annihilation operator. Their coordinate and superholomorphic representations are considered. The supermeasure on superunit disc which realizes the resolution of the unity is calculated. The cases of exact and spontaneously broken supersymmetry are treated separately. As an example the supersymmetric partners of the input Hamiltonian expressed in terms of elementary functions are given.
[ { "version": "v1", "created": "Wed, 29 Apr 1998 05:28:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Bagrov", "Vladislav G.", "" ], [ "Samsonov", "Boris F.", "" ] ]
quant-ph/9804068
Kirill Alekseev
Kirill N. Alekseev, Natasha V. Alekseeva, Jan Perina
1/N-expansion and nonclassical state generation in higher-order anharmonic oscillators
Paper is withdrawn. See quant-ph/9812019
null
null
null
quant-ph physics.optics
null
Paper is withdrawn
[ { "version": "v1", "created": "Wed, 29 Apr 1998 08:18:59 GMT" }, { "version": "v2", "created": "Thu, 9 Dec 1999 11:42:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Alekseev", "Kirill N.", "" ], [ "Alekseeva", "Natasha V.", "" ], [ "Perina", "Jan", "" ] ]
quant-ph/9804069
Antoine Suarez
Olivier Costa de Beauregard (Fondation Louis de Broglie, Paris)
Timelike Nonseparability and Retrocausation
3 pages Latex
null
null
null
quant-ph
null
Renewed interest in the quantum zigzagging causality model is highlighted by an ingenious proposal by Suarez (quant-ph/9801061) to test the timelike aspect of nonseparability. Taking advantage of a work by Froehner I argue that the Dirac representation of a state, has the Bayesian-like connotation of best estimate given the Hilbert frame chosen. As a measurement perturbs uncontrollably a system it is (Hoekzema's wording) a retroparation. My bet is that Suarez' sources and sinks of paired particles operating inside the coherence length of the laser beam will evidence retrocausation.
[ { "version": "v1", "created": "Wed, 29 Apr 1998 09:37:29 GMT" } ]
2007-05-23T00:00:00
[ [ "de Beauregard", "Olivier Costa", "", "Fondation Louis de Broglie, Paris" ] ]
quant-ph/9804070
Wang Zhen
Zhen Wang (Physics Department, LiaoNing Normal University, P. R. China)
Calculation of Planetary Precession from Quantum-corrected Newton's Gravitation Law
LaTex, 4 pages
null
null
LNU-98-04
quant-ph
null
With consideration of quantization of space, we relate Newton's gravitation with the Second Law of thermodynamics. This leads to a correction to its original form, which takes into consideration the role of classical measurement. Our calculation shows this corrected form of gravitation can give explanation for planetary precession.
[ { "version": "v1", "created": "Wed, 29 Apr 1998 11:14:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Zhen", "", "Physics Department, LiaoNing Normal University, P. R.\n China" ] ]
quant-ph/9804071
Sigmund Kohler
Sigmund Kohler, Ralf Utermann, Peter Hanggi and Thomas Dittrich
Coherent and incoherent chaotic tunneling near singlet-doublet crossings
23 pages LaTeX, including 22 figures; corrected typos, minor changes
Phys.Rev. E58 (1998) 7219
10.1103/PhysRevE.58.7219
9376257903
quant-ph chao-dyn nlin.CD
null
In the spectrum of systems showing chaos-assisted tunneling, three-state crossings are formed when a chaotic singlet intersects a tunnel doublet. We study the dissipative quantum dynamics in the vicinity of such crossings. A harmonically driven double well coupled to a bath serves as a model. Markov and rotating-wave approximations are introduced with respect to the Floquet spectrum of the time-dependent central system. The resulting master equation is integrated numerically. We find various types of transient tunneling, determined by the relation of the level width to the inherent energy scales of the crossing. The decay of coherent tunneling can be significantly retarded or accelerated. Modifications of the quantum asymptotic state by the crossing are also studied. The comparison with a simple three-state model shows that in contrast to the undamped case, the participation of states outside the crossing cannot be neglected in the presence of dissipation.
[ { "version": "v1", "created": "Wed, 29 Apr 1998 16:09:27 GMT" }, { "version": "v2", "created": "Wed, 30 Sep 1998 09:33:18 GMT" } ]
2009-10-31T00:00:00
[ [ "Kohler", "Sigmund", "" ], [ "Utermann", "Ralf", "" ], [ "Hanggi", "Peter", "" ], [ "Dittrich", "Thomas", "" ] ]
quant-ph/9804072
Yeranuhy Hakobyan
Ye.M.Hakobyan, G.S.Pogosyan, A.N.Sissakian
On a Generalized D-Dimensional Oscillator: Interbasis Expansions
12 pages, LaTex
Phys. Atom. Nucl. 61 (1998) 1762-1767; Yad.Fiz. 61 (1998) 1873-1878
null
null
quant-ph hep-th math-ph math.MP
null
This article deals with nonrelativistic study of a D-dimensional superintegrable system, which generalizes the ordinary isotropic oscillator system. The coefficients for the expansion between the hyperspherical and Cartesian bases (transition matrix), and vice-versa, are found in terms of the SU(2) Clebsch--Gordan coefficients analytically continued to real values of their arguments. The diagram method, which allow one to construct a transition matrix for arbitrary dimension, is developed.
[ { "version": "v1", "created": "Thu, 30 Apr 1998 10:38:27 GMT" }, { "version": "v2", "created": "Thu, 8 Jul 1999 17:16:03 GMT" }, { "version": "v3", "created": "Fri, 9 Jul 1999 19:32:44 GMT" } ]
2014-11-18T00:00:00
[ [ "Hakobyan", "Ye. M.", "" ], [ "Pogosyan", "G. S.", "" ], [ "Sissakian", "A. N.", "" ] ]
quant-ph/9804073
Heinz Rupertsberger
Heinz Rupertsberger
Bohm`s Interpretation of Quantum Mechanics and the Reconstruction of the Probability Distribution
7 pages, 1 figure, uses epsfig
null
null
UWThPH-1998-20
quant-ph
null
Within Bohm`s interpretation of quantum mechanics particles follow classical trajectories that are determined by the full solution of the time dependent Schroedinger equation. If this interpretation is consistent it must be possible to determine the probability distribution at time t from the probability distribution at time t=0 by using these trajectories. In this paper it is shown that this is the case indeed.
[ { "version": "v1", "created": "Thu, 30 Apr 1998 12:11:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Rupertsberger", "Heinz", "" ] ]
quant-ph/9804074
Paolo Bellomo
Paolo Bellomo and C. R. Stroud, Jr
Dispersion of Klauder's temporally stable coherent states for the hydrogen atom
6 pages, 2 figures
J.Phys. A31 (1998) L445
10.1088/0305-4470/31/24/001
RTC-04-98
quant-ph
null
We study the dispersion of the "temporally stable" coherent states for the hydrogen atom introduced by Klauder. These are states which under temporal evolution by the hydrogen atom Hamiltonian retain their coherence properties. We show that in the hydrogen atom such wave packets do not move quasi-classically; i.e., they do not follow with no or little dispersion the Keplerian orbits of the classical electron. The poor quantum-classical correspondence does not improve in the semiclassical limit.
[ { "version": "v1", "created": "Thu, 30 Apr 1998 14:11:27 GMT" } ]
2012-08-27T00:00:00
[ [ "Bellomo", "Paolo", "" ], [ "Stroud,", "C. R.", "Jr" ] ]
quant-ph/9804075
Martin Plenio
Martin B. Plenio and Vlatko Vedral
Entanglement in Quantum Information Theory
Introductory article for Contemporary Physics, 46 pages in preprint format
Contemp.Phys. 39 (1998) 431-466
10.1080/001075198181766
null
quant-ph
null
Quantum mechanics has many counter-intuitive consequences which contradict our intuition which is based on classical physics. Here we discuss a special aspect of quantum mechanics, namely the possibility of entanglement between two or more particles. We will establish the basic properties of entanglement using quantum state teleportation. These principles will then allow us to formulate quantitative measures of entanglement. Finally we will show that the same general principles can also be used to prove seemingly difficult questions regarding entanglement dynamics very easily. This will be used to motivate the hope that we can construct a thermodynamics of entanglement.
[ { "version": "v1", "created": "Thu, 30 Apr 1998 17:38:15 GMT" }, { "version": "v2", "created": "Fri, 22 May 1998 16:35:53 GMT" } ]
2009-10-31T00:00:00
[ [ "Plenio", "Martin B.", "" ], [ "Vedral", "Vlatko", "" ] ]
quant-ph/9804076
Boris A. Kupershmidt
Boris A. Kupershmidt
Hamiltonian Formalism in Quantum Mechanics
null
J. Nonlinear Math. Phys. 5 (1998), no. 2, 162-180
10.2991/jnmp.1998.5.2.8
JNMP 4/2002 (Article)
quant-ph
null
Heisenberg motion equations in Quantum mechanics can be put into the Hamilton form. The difference between the commutator and its principal part, the Poisson bracket, can be accounted for exactly. Canonical transformations in Quantum mechanics are not, or at least not what they appear to be; their properties are formulated in a series of Conjectures.
[ { "version": "v1", "created": "Wed, 1 Apr 1998 00:00:00 GMT" } ]
2015-06-26T00:00:00
[ [ "Kupershmidt", "Boris A.", "" ] ]
quant-ph/9805001
Serge Massar
N. Linden, S. Massar, S. Popescu
Purifying noisy entanglement requires collective measurements
5 pages, Latex
Phys.Rev.Lett. 81 (1998) 3279-3282
10.1103/PhysRevLett.81.3279
THU - 98/18
quant-ph
null
Known entanglement purification protocols for mixed states use collective measurements on several copies of the state in order to increase the entanglement of some of them. We address the question of whether it is possible to purify the entanglement of a state by processing each copy separately. While this is possible for pure states, we show that this is impossible, in general, for mixed states. The importance of this result both conceptually and for experimental realization of purification is discussed. We also give explicit invariants of an entangled state of two qubits under local actions and classical communication.
[ { "version": "v1", "created": "Fri, 1 May 1998 12:01:12 GMT" } ]
2009-10-31T00:00:00
[ [ "Linden", "N.", "" ], [ "Massar", "S.", "" ], [ "Popescu", "S.", "" ] ]
quant-ph/9805002
Subhash Kak
Subhash Kak (Louisiana State University)
The Initialization Problem in Quantum Computing
12 pages (the final version as it was published)
Foundations of Physics, vol 29, 1999, pages 267-279
null
null
quant-ph
null
The problem of initializing phase in a quantum computing system is considered. The initialization of phases is a problem when the system is initially present in an entangled state and also in the application of the quantum gate transformations since each gate will introduce phase uncertainty. The accumulation of these random phases will reduce the effectiveness of the recently proposed quantum computing schemes. The paper also presents general observations on the nonlocal nature of quantum errors and the expected performance of the proposed quantum error-correction codes that are based on the assumption that the errors are either bit-flip or phase-flip or both. It is argued that these codes cannot directly solve the initialization problem of quantum computing.
[ { "version": "v1", "created": "Fri, 1 May 1998 15:11:11 GMT" }, { "version": "v2", "created": "Tue, 25 Jun 2002 20:53:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Kak", "Subhash", "", "Louisiana State University" ] ]
quant-ph/9805003
Steven J. van Enk
S.J. van Enk, H.J. Kimble, J.I. Cirac, P. Zoller
Quantum Communication with Phantom Photons
6 pages RevTex, 4 eps figures included. Revised calculation with more details about mode structure calculation and the introduction of losses
null
10.1103/PhysRevA.59.2659
null
quant-ph
null
We show that quantum information may be transferred between atoms in different locations by using ``phantom photons'': the atoms are coupled through electromagnetic fields, but the corresponding field modes do not have to be fully populated. In the case where atoms are placed inside optical cavities, errors in quantum information processing due to photon absorption inside the cavity are diminished in this way. This effect persists up to intercavity distances of about a meter for the current levels of cavity losses, and may be useful for distributed quantum computing.
[ { "version": "v1", "created": "Fri, 1 May 1998 17:35:14 GMT" }, { "version": "v2", "created": "Mon, 16 Nov 1998 22:22:53 GMT" } ]
2009-10-31T00:00:00
[ [ "van Enk", "S. J.", "" ], [ "Kimble", "H. J.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9805004
Renato Fedele
R. Fedele, V.I. Man'ko
Wigner transform and quantum-like corrections for charged-particle beam transport
LaTex [sprocl] 3 pages, to be published in Proceedings of the 5th Wigner Symposium (Vienna, 25-29 August, 1997)
null
null
null
quant-ph
null
It is shown that charged-particle beam transport in the paraxial approximation can be effectively described with a quantum-like picture in semiclassical approximation. In particular, the classical Liouville equation can be suitably replaced by a von Neuman-like equation. Relevant remarks concerning the standard classical description of the beam transport are given.
[ { "version": "v1", "created": "Fri, 1 May 1998 17:18:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Fedele", "R.", "" ], [ "Man'ko", "V. I.", "" ] ]
quant-ph/9805005
Ricardo Moritz Cavalcanti
R. M. Cavalcanti
Wave function of a Brownian particle
6 pages, REVTEX. Published version
Phys.Rev. E58 (1998) 6807
10.1103/PhysRevE.58.6807
null
quant-ph cond-mat.stat-mech
null
Using the Caldirola-Kanai Hamiltonian, we study the time evolution of the wave function of a particle whose classical motion is governed by the Langevin equation. We show, in particular, that if the initial wave function is Gaussian, then (i) it remains Gaussian for all times, (ii) its width grows, approaching a finite value when t->infinity, and (iii) its center describes a Brownian motion, and so the uncertainty in the position of the particle grows without limit.
[ { "version": "v1", "created": "Sat, 2 May 1998 03:11:06 GMT" }, { "version": "v2", "created": "Fri, 6 Nov 1998 20:46:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Cavalcanti", "R. M.", "" ] ]
quant-ph/9805006
Wim van Dam
Wim van Dam (U of Oxford, CWI)
Quantum Oracle Interrogation: Getting all information for almost half the price
11 pages LaTeX2e, 1 postscript figure; error analysis added; new section on approximate interrogation added
Proceedings of the 39th Annual IEEE Symposium on Foundations of Computer Science (FOCS), pages 362-367 (1998)
10.1109/SFCS.1998.743486
CQC-040598
quant-ph cs.CC
null
Consider a quantum computer in combination with a binary oracle of domain size N. It is shown how N/2+sqrt(N) calls to the oracle are sufficient to guess the whole content of the oracle (being an N bit string) with probability greater than 95%. This contrasts the power of classical computers which would require N calls to achieve the same task. From this result it follows that any function with the N bits of the oracle as input can be calculated using N/2+sqrt(N) queries if we allow a small probability of error. It is also shown that this error probability can be made arbitrary small by using N/2+O(sqrt(N)) oracle queries. In the second part of the article `approximate interrogation' is considered. This is when only a certain fraction of the N oracle bits are requested. Also for this scenario does the quantum algorithm outperform the classical protocols. An example is given where a quantum procedure with N/10 queries returns a string of which 80% of the bits are correct. Any classical protocol would need 6N/10 queries to establish such a correctness ratio.
[ { "version": "v1", "created": "Mon, 4 May 1998 22:46:43 GMT" }, { "version": "v2", "created": "Wed, 24 Jun 1998 03:29:26 GMT" }, { "version": "v3", "created": "Fri, 11 Sep 1998 18:22:18 GMT" } ]
2007-05-23T00:00:00
[ [ "van Dam", "Wim", "", "U of Oxford, CWI" ] ]
quant-ph/9805007
Constantin Brif
C. Brif, A. Mann and M. Revzen (Technion, Haifa)
Classical properties of generalized coherent states: from phase-space dynamics to Bell's inequality
LaTeX2e, amssymb style, 11 pages, 1 figure. Presented at 2nd Jagna International Workshop ``Mathematical Methods of Quantum Physics'', January 1998, Jagna, Philippines. To be published in a Festschrift for Professor Hiroshi Ezawa (Gordon & Breach, London)
null
null
null
quant-ph
null
We review classical properties of harmonic-oscillator coherent states. Then we discuss which of these classical properties are preserved under the group-theoretic generalization of coherent states. We prove that the generalized coherent states of quantum systems with Lie-group symmetries are the unique Bell states, i.e., the pure quantum states preserving the fundamental classical property of satisfying Bell's inequality upon splitting.
[ { "version": "v1", "created": "Sat, 2 May 1998 11:41:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Brif", "C.", "", "Technion, Haifa" ], [ "Mann", "A.", "", "Technion, Haifa" ], [ "Revzen", "M.", "", "Technion, Haifa" ] ]
quant-ph/9805008
Dr. BG Sidharth
B.G. Sidharth
A New Approach to Locality and Causality
12 pages, TeX
null
null
null
quant-ph
null
In the light of some recent results, it is argued that usual concepts of causality and locality are approximations valid at scales greater than the Compton wavelength and corresponding time scales. It follows that the "spooky" non-locality of Quantum Mechanics is not really so and infact is perfectly consistent with a recently discussed holistic model, which again is corroborated by latest astrophysical and cosmological observations. This approach also provides a rationale for the origin of the metric and points to, what may be called a space time quantization which may be, ultimately, fundamental.
[ { "version": "v1", "created": "Sun, 3 May 1998 12:43:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Sidharth", "B. G.", "" ] ]
quant-ph/9805009
Rabin Banerji
R.Banerjee and S.Ghosh
The Chiral Oscillator and its Applications in Quantum Theory
Latex
J.Phys. A31 (1998) L603-L608
10.1088/0305-4470/31/36/002
null
quant-ph
null
The fundamental importance of the chiral oscillator is elaborated. Its quantum invariants are computed. As an application the Zeeman effect is analysed. We also show that the chiral oscillator is the most basic example of a duality invariant model, simulating the effect of the familiar electric-magnetic duality.
[ { "version": "v1", "created": "Mon, 4 May 1998 10:33:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Banerjee", "R.", "" ], [ "Ghosh", "S.", "" ] ]
quant-ph/9805010
Miguel Navarro
Miguel Navarro
Toward a finite-dimensional formulation of Quantum Field Theory
Latex file, 12 pages
Found.Phys.Lett. 11 (1998) 585-593
null
null
quant-ph
null
Rules of quantization and equations of motion for a finite-dimensional formulation of Quantum Field Theory are proposed which fulfill the following properties: a) both the rules of quantization and the equations of motion are covariant; b) the equations of evolution are second order in derivatives and first order in derivatives of the space-time co-ordinates; and c) these rules of quantization and equations of motion lead to the usual (canonical) rules of quantization and the (Schr\"odinger) equation of motion of Quantum Mechanics in the particular case of mechanical systems. We also comment briefly on further steps to fully develop a satisfactory quantum field theory and the difficuties which may be encountered when doing so.
[ { "version": "v1", "created": "Mon, 4 May 1998 15:07:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Navarro", "Miguel", "" ] ]
quant-ph/9805011
Arkadiusz Jadczyk
Ph. Blanchard, A. Jadczyk, R. Olkiewicz
The Piecewise Deterministic Process Associated to EEQT
22 pages Latex, revtex. Replacement contains a more detailed discussion of the inhomogeneous Markov process and several additional explanations
null
null
null
quant-ph
null
In the framework of Event Enhanced Quantum Theory (EEQT) a probabilistic construction of the piecewise deterministic process associated with a dynamical semigroup is presented. The process generates sample histories of individual systems quantums systems continuously coupled to classical measuring devices; it gives a unique algorithm generating time series of pointer readings in real experiments with quantum systems.
[ { "version": "v1", "created": "Mon, 4 May 1998 15:26:57 GMT" }, { "version": "v2", "created": "Tue, 28 Sep 1999 13:08:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Blanchard", "Ph.", "" ], [ "Jadczyk", "A.", "" ], [ "Olkiewicz", "R.", "" ] ]
quant-ph/9805012
Tabish Qureshi
N.D. Hari Dass (IMSc, Madras, India) and Tabish Qureshi (IGCAR, Kalpakkam, India.)
Critique of Protective Measurements
14 pages RevTex, published version with change in title
Phys.Rev.A59:2590,1999
10.1103/PhysRevA.59.2590
IMSc/98/05/21
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently proposed idea of "protective" measurement of a quantum state is critically examined, and generalized. Earlier criticisms of the idea are discussed and their relevance to the proposal assessed. Several constraints on measuring apparatus required by "protective" measurements are discussed, with emphasis on how they may restrict their experimental feasibility. Though "protective" measurements result in an unchanged system state and a shift of the pointer proportional to the expectation value of the measured observable in the system state, the actual reading of the pointer position gives rise to several subtleties. We propose several schemes for reading pointer position, both when the apparatus is treated as a classical system as well as when its quantum aspects are taken into account, that address these issues. The tiny entanglement which is always present due to deviation from extreme adiabaticity in realistic situations is argued to be the weakest aspect of the proposal. Because of this, one can never perform a protective measurement on a single quantum system with absolute certainty. This clearly precludes an ontological status for the wave function. Several other conceptual issues are also discussed.
[ { "version": "v1", "created": "Mon, 4 May 1998 20:23:00 GMT" }, { "version": "v2", "created": "Mon, 11 May 1998 04:55:04 GMT" }, { "version": "v3", "created": "Mon, 2 Nov 1998 16:02:50 GMT" }, { "version": "v4", "created": "Wed, 4 Nov 1998 05:45:51 GMT" }, { "version": "v5", "created": "Tue, 23 Aug 2011 11:15:56 GMT" } ]
2011-08-24T00:00:00
[ [ "Dass", "N. D. Hari", "", "IMSc, Madras, India" ], [ "Qureshi", "Tabish", "", "IGCAR,\n Kalpakkam, India." ] ]
quant-ph/9805013
Dr. BG Sidharth
B.G. Sidharth
Towards a Unified Description of the Fundamental Interactions
8 pages, TeX
Chaotic Universe,Nova Science,New York,2001
null
null
quant-ph
null
We consider a recent successful model of leptons as Kerr-Newman type Black Holes in a Quantum Mechanical context. The model leads to a cosmology which predicts an ever expanding accelerating universe with decreasing density and to the conclusion that at Compton wavelength scales, electrons would exhibit low dimensionality, both of which conclusions have been verified by several independent experiments and observations very recently. In this preliminary communication we indicate how the above model describes the quarks' fractional charges, handedness and masses (as any fundamental theory should) and could lead to a unified description of the four fundamental interactions.
[ { "version": "v1", "created": "Wed, 6 May 1998 00:49:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Sidharth", "B. G.", "" ] ]
quant-ph/9805014
Sergei Shabanov
Sergei V. Shabanov and John R. Klauder
Path Integral Quantization and Riemannian-Symplectic Manifolds
plain Latex, 9 pages, no figures
Phys.Lett. B435 (1998) 343-349
10.1016/S0370-2693(98)00798-9
null
quant-ph hep-th math-ph math.MP
null
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and countably additive, the phase space manifold should be equipped with a Riemannian structure (metric). A suitable method to calculate the metric is also proposed.
[ { "version": "v1", "created": "Wed, 6 May 1998 15:22:52 GMT" } ]
2009-10-31T00:00:00
[ [ "Shabanov", "Sergei V.", "" ], [ "Klauder", "John R.", "" ] ]
quant-ph/9805015
Robert R. Tucci
Robert R. Tucci
A Rudimentary Quantum Compiler
1 LaTeX file (25 pages), 9 eps files
null
null
null
quant-ph
null
We present a new algorithm for reducing an arbitrary unitary matrix into a sequence of elementary operations (operations such as controlled-nots and qubit rotations). Such a sequence of operations can be used to manipulate an array of quantum bits (i.e., a quantum computer). We report on a C++ program called "Qubiter" that implements our algorithm. Qubiter source code is publicly available.
[ { "version": "v1", "created": "Thu, 7 May 1998 05:06:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Tucci", "Robert R.", "" ] ]
quant-ph/9805016
Robert R. Tucci
Robert R. Tucci
How to Compile A Quantum Bayesian Net
1 LaTeX file (14 pages), 5 eps files
null
null
null
quant-ph
null
We show how to express the information contained in a Quantum Bayesian (QB) net as a product of unitary matrices. If each of these unitary matrices is expressed as a sequence of elementary operations (operations such as controlled-nots and qubit rotations), then the result is a sequence of operations that can be used to run a quantum computer. QB nets have been run entirely on a classical computer, but one expects them to run faster on a quantum computer.
[ { "version": "v1", "created": "Thu, 7 May 1998 05:33:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Tucci", "Robert R.", "" ] ]
quant-ph/9805017
Richard Jozsa
Richard Jozsa, Michal Horodecki, Pawel Horodecki and Ryszard Horodecki
Universal Quantum Information Compression
RevTex 4 pages
Phys.Rev.Lett. 81 (1998) 1714-1717
10.1103/PhysRevLett.81.1714
null
quant-ph
null
Suppose that a quantum source is known to have von Neumann entropy less than or equal to S but is otherwise completely unspecified. We describe a method of universal quantum data compression which will faithfully compress the quantum information of any such source to S qubits per signal (in the limit of large block lengths).
[ { "version": "v1", "created": "Thu, 7 May 1998 07:59:07 GMT" } ]
2009-10-31T00:00:00
[ [ "Jozsa", "Richard", "" ], [ "Horodecki", "Michal", "" ], [ "Horodecki", "Pawel", "" ], [ "Horodecki", "Ryszard", "" ] ]
quant-ph/9805018
Marc-Thierry Jaekel
Philippe Matherat (Ecole Nationale Supe'rieure des Te'le'communications) and Marc-Thierry Jaekel (Laboratoire de Physique The'orique de l'Ecole Normale Supe'rieure)
Logical Dissipation of Automata Implements - Dissipation of Computation
12 pages, 13 figures
T.S.I. 15 (1996) 1079
null
LPTENS 98/17A
quant-ph math.LO
null
As revealed by discussions of principle on energy dissipation by computers, logic imposes constraints on physical systems designed for a logical function. We define a notion of logical dissipation for a finite automaton. We discuss the constraints associated with physical implementation of automata and exhibit the role played by modularity for testability. As a result, practical computers, which are necessarily modular, dissipate proportionally to computation time.
[ { "version": "v1", "created": "Thu, 7 May 1998 08:11:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Matherat", "Philippe", "", "Ecole Nationale Supe'rieure des\n Te'le'communications" ], [ "Jaekel", "Marc-Thierry", "", "Laboratoire de Physique\n The'orique de l'Ecole Normale Supe'rieure" ] ]
quant-ph/9805019
Dagmar Bruss
Dagmar Bruss
Optimal eavesdropping in quantum cryptography with six states
4 pages, 1 figure
Phys.Rev.Lett. 81 (1998) 3018-3021
10.1103/PhysRevLett.81.3018
null
quant-ph
null
A generalization of the quantum cryptographic protocol by Bennett and Brassard is discussed, using three conjugate bases, i.e. six states. By calculating the optimal mutual information between sender and eavesdropper it is shown that this scheme is safer against eavesdropping on single qubits than the one based on two conjugate bases. We also address the question for a connection between the maximal classical correlation in a generalized Bell inequality and the intersection of mutual informations between sender/receiver and sender/eavesdropper.
[ { "version": "v1", "created": "Thu, 7 May 1998 09:35:45 GMT" }, { "version": "v2", "created": "Thu, 8 Oct 1998 09:13:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Bruss", "Dagmar", "" ] ]
quant-ph/9805020
Vladimir Buzek
V. Buzek, G. Drobny, R. Derka, G. Adam, H. Wiedemann
Quantum State Reconstruction From Incomplete Data
85 pages, revtex, 15 figures, 9 tables
null
null
null
quant-ph
null
Knowing and guessing, these are two essential epistemological pillars in the theory of quantum-mechanical measurement. As formulated quantum mechanics is a statistical theory. In general, a priori unknown states can be completely determined only when measurements on infinite ensembles of identically prepared quantum systems are performed. But how one can estimate (guess) quantum state when just incomplete data are available (known)? What is the most reliable estimation based on a given measured data? What is the optimal measurement providing only a finite number of identically prepared quantum objects are available? These are some of the questions we address. We present several schemes for a reconstruction of states of quantum systems from measured data: (1) We show how the maximum entropy (MaxEnt) principle can be efficiently used for an estimation of quantum states on incomplete observation levels. (2) We show how Bayesian inference can be used for reconstruction of quantum states when only a finite number of identically prepared systems are measured. (3) We describe the optimal generalized measurement of a finite number of identically prepared quantum systems which results in the estimation of a quantum state with the highest fidelity.
[ { "version": "v1", "created": "Thu, 7 May 1998 13:17:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Buzek", "V.", "" ], [ "Drobny", "G.", "" ], [ "Derka", "R.", "" ], [ "Adam", "G.", "" ], [ "Wiedemann", "H.", "" ] ]
quant-ph/9805021
Antoine Suarez
Antoine Suarez (Center for Quantum Philosophy, Zurich)
Quantum mechanical 'Backward in Time'? Comments, Answers, and the Causal Indistinguishability Condition
16 pages Latex, 1 eps figure. The same content differently arranged has been submitted to Physics Letters A
null
null
null
quant-ph
null
We discuss a number of comments on quant-ph/9801061, and propose to introduce the concept of 'Causal Indistinguishability'. The incompatibility between Quantum Mechanics and Nonlocal Causality appears to be unavoidable: upholding of Quantum Mechanics by experiment would mean to live with influences backward in time, just as we are now living with such faster than light.
[ { "version": "v1", "created": "Thu, 7 May 1998 19:02:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Suarez", "Antoine", "", "Center for Quantum Philosophy, Zurich" ] ]
quant-ph/9805022
Jon Machta
J. Machta
Phase Information in Quantum Oracle Computing
3 pages, latex
null
null
null
quant-ph
null
Computational devices may be supplied with external sources of information (oracles). Quantum oracles may transmit phase information which is available to a quantum computer but not a classical computer. One consequence of this observation is that there is an oracle which is of no assistance to a classical computer but which allows a quantum computer to solve undecidable problems. Thus useful relativized separations between quantum and classical complexity classes must exclude the transmission of phase information from oracle to computer.
[ { "version": "v1", "created": "Thu, 7 May 1998 20:50:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Machta", "J.", "" ] ]
quant-ph/9805023
Stefano Liberati
Matt Visser, S. Liberati, F. Belgiorno, D.W. Sciama
Sonoluminescence: Bogolubov coefficients for the QED vacuum of a time-dependent dielectric bubble
4 pages, RevTeX, 2 figures (.eps file) included with graphics.sty. Major revisions: physical scenario clarified, additional numerical estimates
Phys.Rev.Lett. 83 (1999) 678-681
10.1103/PhysRevLett.83.678
null
quant-ph cond-mat hep-ph hep-th
null
We extend Schwinger's ideas regarding sonoluminescence by explicitly calculating the Bogolubov coefficients relating the QED vacuum states associated with changes in a dielectric bubble. Sudden (non-adiabatic) changes in the refractive index lead to an efficient production of real photons with a broadband spectrum, and a high-frequency cutoff that arises from the asymptotic behaviour of the dielectric constant.
[ { "version": "v1", "created": "Fri, 8 May 1998 17:40:55 GMT" }, { "version": "v2", "created": "Fri, 14 May 1999 20:21:59 GMT" } ]
2009-10-31T00:00:00
[ [ "Visser", "Matt", "" ], [ "Liberati", "S.", "" ], [ "Belgiorno", "F.", "" ], [ "Sciama", "D. W.", "" ] ]
quant-ph/9805024
Nicolas Cerf
Nicolas J. Cerf (Caltech)
Asymmetric quantum cloning machines in any dimension
18 pages RevTeX, 3 Postscript figures; new discussion on no-cloning uncertainty relations, several corrections, added references
J.Mod.Opt. 47 (2000) 187
10.1080/09500340008244036
KRL MAP-224
quant-ph
null
A family of asymmetric cloning machines for $N$-dimensional quantum states is introduced. These machines produce two imperfect copies of a single state that emerge from two distinct Heisenberg channels. The tradeoff between the quality of these copies is shown to result from a complementarity akin to Heisenberg uncertainty principle. A no-cloning inequality is derived for isotropic cloners: if $\pi_a$ and $\pi_b$ are the depolarizing fractions associated with the two copies, the domain in $(\sqrt{\pi_a},\sqrt{\pi_b})$-space located inside a particular ellipse representing close-to-perfect cloning is forbidden. More generally, a no-cloning uncertainty relation is discussed, quantifying the impossibility of copying imposed by quantum mechanics. Finally, an asymmetric Pauli cloning machine is defined that makes two approximate copies of a quantum bit, while the input-to-output operation underlying each copy is a (distinct) Pauli channel. The class of symmetric Pauli cloning machines is shown to provide an upper bound on the quantum capacity of the Pauli channel of probabilities $p_x$, $p_y$ and $p_z$.
[ { "version": "v1", "created": "Fri, 8 May 1998 23:41:37 GMT" }, { "version": "v2", "created": "Mon, 31 Aug 1998 23:15:30 GMT" } ]
2015-06-26T00:00:00
[ [ "Cerf", "Nicolas J.", "", "Caltech" ] ]
quant-ph/9805025
Michael Mueller
Michael Mueller
Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding center motion
24 pages, RevTeX, no figures; shortened version will be published in J.Phys.A
J.Phys.A32:1035-1052,1999
10.1088/0305-4470/32/6/014
null
quant-ph
null
We derive a product rule for gauge invariant Weyl symbols which provides a generalization of the well-known Moyal formula to the case of non-vanishing electromagnetic fields. Applying our result to the guiding center problem we expand the guiding center Hamiltonian into an asymptotic power series with respect to both Planck's constant $\hbar$ and an adiabaticity parameter already present in the classical theory. This expansion is used to determine the influence of quantum mechanical effects on guiding center motion.
[ { "version": "v1", "created": "Sat, 9 May 1998 00:38:26 GMT" }, { "version": "v2", "created": "Fri, 20 Nov 1998 12:49:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Mueller", "Michael", "" ] ]
quant-ph/9805026
Ricardo Moritz Cavalcanti
R. M. Cavalcanti and C. A. A. de Carvalho
Bound states of a spin-1/2 charged particle in a magnetic flux tube
4 pages, REVTEX. Final version, to appear in J. Phys. A: Math. Gen
J.Phys.A31:7061-7063,1998
10.1088/0305-4470/31/34/009
null
quant-ph cond-mat math-ph math.MP
null
We study a spin-1/2 charged particle with gyromagnetic factor g>2 moving in a plane threaded by a magnetic flux tube. We prove that, if the magnetic field (i) has radial symmetry, (ii) has compact support and (iii) does not change sign, there is at least one bound state for each angular momentum l in the interval [0,v], where v (assumed positive) is the total magnetic flux in units of the quantum of flux.
[ { "version": "v1", "created": "Sat, 9 May 1998 00:55:15 GMT" }, { "version": "v2", "created": "Wed, 8 Jul 1998 05:17:33 GMT" } ]
2008-11-26T00:00:00
[ [ "Cavalcanti", "R. M.", "" ], [ "de Carvalho", "C. A. A.", "" ] ]
quant-ph/9805027
Todd Brun
Tarso B.L. Kist, M. Orszag, T.A. Brun, L. Davidovich
Physical interpretation of stochastic Schroedinger equations in cavity QED
12 pages RevTeX 3.0 + 6 figures (GIF format; for higher-resolution postscript images or hardcopies contact the authors.) Submitted to Phys. Rev. A
J. Optics B 1, 251-263 (1999)
10.1088/1464-4266/1/2/009
NSF-ITP-98-056
quant-ph
null
We propose physical interpretations for stochastic methods which have been developed recently to describe the evolution of a quantum system interacting with a reservoir. As opposed to the usual reduced density operator approach, which refers to ensemble averages, these methods deal with the dynamics of single realizations, and involve the solution of stochastic Schr\"odinger equations. These procedures have been shown to be completely equivalent to the master equation approach when ensemble averages are taken over many realizations. We show that these techniques are not only convenient mathematical tools for dissipative systems, but may actually correspond to concrete physical processes, for any temperature of the reservoir. We consider a mode of the electromagnetic field in a cavity interacting with a beam of two- or three-level atoms, the field mode playing the role of a small system and the atomic beam standing for a reservoir at finite temperature, the interaction between them being given by the Jaynes-Cummings model. We show that the evolution of the field states, under continuous monitoring of the state of the atoms which leave the cavity, can be described in terms of either the Monte Carlo Wave-Function (quantum jump) method or a stochastic Schr\"odinger equation, depending on the system configuration. We also show that the Monte Carlo Wave-Function approach leads, for finite temperatures, to localization into jumping Fock states, while the diffusion equation method leads to localization into states with a diffusing average photon number, which for sufficiently small temperatures are close approximations to mildly squeezed states.
[ { "version": "v1", "created": "Mon, 11 May 1998 21:40:18 GMT" } ]
2015-06-26T00:00:00
[ [ "Kist", "Tarso B. L.", "" ], [ "Orszag", "M.", "" ], [ "Brun", "T. A.", "" ], [ "Davidovich", "L.", "" ] ]
quant-ph/9805028
David Marcus Appleby
D. M. Appleby
Retrodictively Optimal Localisations in Phase Space
11 pages, 2 figures. AMS Latex. Replaced with published version
J.Mod.Opt. 46(1999) 813-823
10.1080/09500349908231306
QMW-PH-98-21
quant-ph
null
In a previous paper it was shown that the distribution of measured values for a retrodictively optimal simultaneous measurement of position and momentum is always given by the initial state Husimi function. This result is now generalised to retrodictively optimal simultaneous measurements of an arbitrary pair of rotated quadratures x_theta1 and x_theta2. It is shown, that given any such measurement, it is possible to find another such measurement, informationally equivalent to the first, for which the axes defined by the two quadratures are perpendicular. It is further shown that the distribution of measured values for such a meaurement belongs to the class of generalised Husimi functions most recently discussed by Wuensche and Buzek. The class consists of the subset of Wodkiewicz's operational probability distributions for which the filter reference state is a squeezed vaccuum state.
[ { "version": "v1", "created": "Sun, 10 May 1998 19:00:50 GMT" }, { "version": "v2", "created": "Mon, 22 Nov 1999 23:32:37 GMT" } ]
2015-06-26T00:00:00
[ [ "Appleby", "D. M.", "" ] ]
quant-ph/9805029
Juan J. G. Ripoll
Juan J. G. Ripoll, Victor M. Perez-Garcia
Strong excitations of a Bose--Einstein condensate: Barrier resonances
4 pages, 3 EPS figures
null
null
null
quant-ph
null
We study the dynamics of a forced condensed atom cloud and relate the behavior to a classical Mathieu oscillator in a singular potential. It is found that there are wide resonances which can strongly affect the dynamics even when dissipation is present. The behavior is characteristic of condensed clouds of any shape and has experimental relevance.
[ { "version": "v1", "created": "Sun, 10 May 1998 18:32:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Ripoll", "Juan J. G.", "" ], [ "Perez-Garcia", "Victor M.", "" ] ]