id
stringlengths
9
16
submitter
stringlengths
1
64
authors
stringlengths
3
62.8k
title
stringlengths
1
382
comments
stringlengths
1
1.15k
journal-ref
stringlengths
1
557
doi
stringlengths
7
153
report-no
stringlengths
1
509
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
timestamp[s]date
2007-05-23 00:00:00
2025-04-04 00:00:00
authors_parsed
sequencelengths
1
2.83k
quant-ph/9801041
Daniel S. Abrams
Daniel S. Abrams (1), Seth Lloyd (2) ( (1) Dept. of Physics, MIT, (2) Dept. of Mechanical Engineering, MIT)
Nonlinear quantum mechanics implies polynomial-time solution for NP-complete and #P problems
10 pages, no figures, submitted to Phys. Rev. Lett
Phys.Rev.Lett. 81 (1998) 3992-3995
10.1103/PhysRevLett.81.3992
null
quant-ph
null
If quantum states exhibit small nonlinearities during time evolution, then quantum computers can be used to solve NP-complete problems in polynomial time. We provide algorithms that solve NP-complete and #P oracle problems by exploiting nonlinear quantum logic gates. It is argued that virtually any deterministic nonlinear quantum theory will include such gates, and the method is explicitly demonstrated using the Weinberg model of nonlinear quantum mechanics.
[ { "version": "v1", "created": "Wed, 21 Jan 1998 00:34:54 GMT" } ]
2009-10-31T00:00:00
[ [ "Abrams", "Daniel S.", "" ], [ "Lloyd", "Seth", "" ] ]
quant-ph/9801042
Kurt Jacobs
K. Jacobs and P. L. Knight
Linear quantum trajectories: Applications to continuous projection measurements
Revtex, 10 pages, 1 eps figure. v2: corrections to the operator disentangling relation in appendix B
Phys.Rev. A 57, 2301 (1998)
10.1103/PhysRevA.57.2301
null
quant-ph
null
We present a method for obtaining evolution operators for linear quantum trajectories. We apply this to a number of physical examples of varying mathematical complexity, in which the quantum trajectories describe the continuous projection measurement of physical observables. Using this method we calculate the average conditional uncertainty for the measured observables, being a central quantity of interest in these measurement processes.
[ { "version": "v1", "created": "Wed, 21 Jan 1998 15:34:46 GMT" }, { "version": "v2", "created": "Tue, 22 May 2007 16:57:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Jacobs", "K.", "" ], [ "Knight", "P. L.", "" ] ]
quant-ph/9801043
null
J. G. Muga, R. Sala and J. P. Palao
The time of arrival concept in quantum mechanics
17 pages, to appear in Superlattices and Microstructures, Vol. 24, No. 4, 1998
Superlattices Microstruct. 23:833,1998
10.1006/spmi.1997.0544
ULL-FIS-980102
quant-ph
null
The concept and the formalization of the arrival time in quantum mechanics are discussed. Different approaches based on trajectories, quantization rules, time operators, phase space techniques, renewal equations or operational procedures are reviewed or proposed. Open questions and loose ends are pointed out.
[ { "version": "v1", "created": "Wed, 21 Jan 1998 15:29:12 GMT" } ]
2011-08-17T00:00:00
[ [ "Muga", "J. G.", "" ], [ "Sala", "R.", "" ], [ "Palao", "J. P.", "" ] ]
quant-ph/9801044
W. A. Hofer
W. A. Hofer (TU-Wien)
A dynamic model of atoms: structure, internal interactions and photon emissions of hydrogen
12 pages (RevTeX) and 2 figures (eps). Paper updated and references added. for related papers see http://cmmp.phys.ucl.ac.uk/~wah/qed/papers.html
null
null
null
quant-ph
null
The standard solution of the Schroedinger equation for the hydrogen atom is analyzed. Comparing with the recently established internal properties of electrons it is found, that these solutions cannot be seen as physically valid states of the electron wave. The paper therefore proposes a new model of hydrogen based on internal properties of electrons. The ground state of the hydrogen system (T=0) is an inertial aggregation within the atomic shell, the calculation yields an atomic radius of 0.330 nm. Electron proton interaction within the atom are treated with a causal and deterministic model, the resonance frequency of the hydrogen system of $ 6.57 \times 10^{15} Hz $ is referred to elastic deformations of its nucleus, resonance levels are a result of boundary conditions for radial electron waves and photon interactions due to nuclear oscillations. Spectral emissions of excited atoms can be referred to a decay of the state of motion of the coupled electron-proton system. The framework developed is essentially deterministic, microphysical processes analyzed are referred to material characteristics of particles involved. Statistical effects are referred to interactions with the atomic environment, the results derived are compatible with the second and third principle of thermodynamics.
[ { "version": "v1", "created": "Thu, 22 Jan 1998 12:31:54 GMT" }, { "version": "v2", "created": "Thu, 8 Jun 2000 11:08:36 GMT" } ]
2009-09-25T00:00:00
[ [ "Hofer", "W. A.", "", "TU-Wien" ] ]
quant-ph/9801045
G. A. Koganov
Gennady A. Koganov and Reuben Shuker
Non-linear properties of strongly pumped lasers
10 pages, 4 figures Submitted to Phys. Rev. A
null
null
BGU-qo-98/1
quant-ph
null
Bloch equations for the atomic population and the polarization/coherence and the equation of motion for the photon number in a laser are solved in steady state as a function of the pump rate. Two level atom and two modes of three levels atom are investigated. Close to threshold the usual linear dependence of the intensity on the pump rate in found for all cases. However, far above threshold strongly nonlinear dependence is encountered. In the cases for which the pump connects the lower lasing state to one of the excited states the character of the non-linearity differs crucially from the cases when the pump in not related directly to the lower lasing state. Non-monotonic dependence of laser intensity upon the pump rate is predicted. Detailed discussion of the nonlinear behavior is presented, including saturation and depletion effects.
[ { "version": "v1", "created": "Thu, 22 Jan 1998 14:14:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Koganov", "Gennady A.", "" ], [ "Shuker", "Reuben", "" ] ]
quant-ph/9801046
Glenn Moy
G.M. Moy, J.J. Hope, C.M. Savage
The Born and Markov approximations for atom lasers
10 pages, 3 figures. (2 new figues). Exact solutions have been included in section II. Sections IV and V have been expanded. A new section discussing the effects of gravity has been included
null
10.1103/PhysRevA.59.667
null
quant-ph
null
We discuss the use of the Born and Markov approximations in describing the dynamics of an atom laser. In particular, we investigate the applicability of the quantum optical Born-Markov master equation for describing output coupling. We derive conditions based on the atomic reservoir, and atom dispersion relations for when the Born-Markov approximations are valid and discuss parameter regimes where these approximations fail in our atom laser model. Differences between the standard optical laser model and the atom laser are due to a combination of factors, including the parameter regimes in which a typical atom laser would operate, the different reservoir state which is appropriate for atoms, and the different dispersion relations between atoms and photons. We present results based on an exact method in the regimes in which the Born-Markov approximation fails. The exact solutions in some experimentally relavent parameter regimes give non-exponential loss of atoms from a cavity.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 00:40:57 GMT" }, { "version": "v2", "created": "Mon, 21 Sep 1998 04:29:40 GMT" } ]
2009-10-31T00:00:00
[ [ "Moy", "G. M.", "" ], [ "Hope", "J. J.", "" ], [ "Savage", "C. M.", "" ] ]
quant-ph/9801047
Andre Martin
Andre Martin
Stability of Three- and Four-Body Coulomb Systems
latex file, 15 pages, 8 figures
null
null
CERN-TH/98-23
quant-ph
null
We discuss the stability of three- and four-particle system interacting by pure Coulomb interactions, as a function of the masses and charges of the particles. We present a certain number of general properties which allow to answer a certain number of questions without or with less numerical calculations.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 09:52:47 GMT" } ]
2009-09-25T00:00:00
[ [ "Martin", "Andre", "" ] ]
quant-ph/9801048
Tamas Kiss
U. Leonhardt, T. Kiss, and P. Piwnicki
Quantum back-action of optical observations on Bose condensates
11 pages RevTex, 2 ps figures, revised. European Physical Journal D (in press)
null
10.1007/s100530050585
null
quant-ph
null
Impressive pictures of moving Bose-Einstein condensates have been taken using phase-contrast imaging M. R. Andrews et al., Science 273, 84 (1996). We calculate the quantum backaction of this measurement technique. We find that phase-contrast imaging is not a quantum nondemolition measurement of the atomic density. Instead, the condensate gets gradually depleted at a rate that is proportional to the light intensity and to the inverse cube of the optical wave length. The fewer atoms are condensed the higher is the required intensity to see a picture, and, consequently, the higher is the induced backaction. To describe the quantum physics of phase-contrast imaging we put forward a new approach to quantum-optical propagation. We develop an effective field theory of paraxial optics in a fully quantized atomic medium.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 12:56:29 GMT" }, { "version": "v2", "created": "Wed, 1 Jul 1998 14:45:51 GMT" }, { "version": "v3", "created": "Fri, 25 Sep 1998 10:04:27 GMT" }, { "version": "v4", "created": "Tue, 25 May 1999 11:28:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Leonhardt", "U.", "" ], [ "Kiss", "T.", "" ], [ "Piwnicki", "P.", "" ] ]
quant-ph/9801049
Astrid Lambrecht
A. Lambrecht, J.M. Courty, S. Reynaud, E. Giacobino
Cold atoms: A new medium for quantum optics
6 pages, 6 figures, LaTeX
Appl.Phys. B60 (1995) 129-134
10.1007/BF01135854
null
quant-ph
null
Laser-cooled and trapped cesium atoms have been used as a nonlinear medium in a nearly resonant cavity. A study of the semiclassical dynamics of the system was performed, showing bistability and instabilities. In the quantum domain, squeezing in a probe beam having interacted with this system was demonstrated.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 16:26:09 GMT" } ]
2015-06-26T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Courty", "J. M.", "" ], [ "Reynaud", "S.", "" ], [ "Giacobino", "E.", "" ] ]
quant-ph/9801050
Astrid Lambrecht
A. Lambrecht, E. Giacobino and S. Reynaud
Atomic number fluctuations in a falling cold atom cloud
21 pages, LaTeX
Quant.Semiclass.Opt. 8 (1996) 457-472
10.1088/1355-5111/8/3/009
null
quant-ph
null
We evaluate the effective number of atoms in experiments where a probe laser beam with a Gaussian profile passes through an atomic medium consisting of a cold atom cloud released from a magneto-optical trap. Considering the case where the initial distribution is a Gaussian function of position and velocity, we give a quantitative description of the time variation of the effective atom number while the cloud is exploding and falling. We discuss the two cases where the effective number is defined from the linear and nonlinear phase shifts, respectively. We also evaluate the fluctuations of the effective atom number by calculating their correlation functions and the associated noise spectra. Finally we estimate the effect of these fluctuations on experiments where the probe beam passes through a cavity containing the atomic cloud.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 16:36:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Giacobino", "E.", "" ], [ "Reynaud", "S.", "" ] ]
quant-ph/9801051
Astrid Lambrecht
A. Lambrecht, T. Coudreau, A.M. Steinberg and E. Giacobino
Squeezing with cold atoms
9 pages, 4 figures, LaTeX
Europhys.Lett. 36 (1996) 93-98
10.1209/epl/i1996-00192-1
null
quant-ph
null
Cold atoms from a magneto-optic trap have been used as a nonlinear medium in a nearly resonant cavity. Squeezing in a probe beam passing through the cavity was demonstrated. The measured noise reduction is 40% for free atoms and 20% for weakly trapped atoms.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 15:46:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Coudreau", "T.", "" ], [ "Steinberg", "A. M.", "" ], [ "Giacobino", "E.", "" ] ]
quant-ph/9801052
Astrid Lambrecht
A. Lambrecht, J.M. Courty and S. Reynaud
Transverse effects on squeezing with atoms
25 pages, 1 figure, LaTeX
J.Phys.(France) 6 (1996) 1133-1151
null
null
quant-ph
null
We evaluate the squeezing of a probe beam with a transverse Gaussian profile interacting with an ensemble of two-level atoms in a cavity. We use the linear input-output formalism where the effect of atoms is described by susceptibility and noise functions. The transverse structure is accounted for by averaging atomic functions over the intensity profile. The results of the plane-wave and Gaussian-wave theories are compared. When large squeezing is predicted we find the prediction of the plane-wave model not to be reliable outside the Kerr domain. We give an estimate of the squeezing degradation due to the Gaussian transverse structure.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 16:13:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Courty", "J. M.", "" ], [ "Reynaud", "S.", "" ] ]
quant-ph/9801053
Astrid Lambrecht
J.M. Courty and A. Lambrecht
Transverse-mode coupling in a Kerr medium
11 pages, 6 figures, LaTeX
Phys.Rev. A54 (1996) 5243-5252
10.1103/PhysRevA.54.5243
null
quant-ph
null
We analyze nonlinear transverse mode coupling in a Kerr medium placed in an optical cavity and its influence on bistability and different kinds of quantum noise reduction. Even for an input beam that is perfectly matched to a cavity mode, the nonlinear coupling produces an excess noise in the fluctuations of the output beam. Intensity squeezing seems to be particularly robust with respect to mode coupling, while quadrature squeezing is more sensitive. However, it is possible to find a mode the quadrature squeezing of which is not affected by the coupling.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 17:03:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Courty", "J. M.", "" ], [ "Lambrecht", "A.", "" ] ]
quant-ph/9801054
Astrid Lambrecht
A. Lambrecht, E. Giacobino, J.M. Courty
Optical nonlinear dynamics with cold atoms in a cavity
6 pages, 7 figures, LaTeX
Opt.Commun. 115 (1995) 199-206
10.1016/0030-4018(94)00493-E
null
quant-ph
null
This paper presents the nonlinear dynamics of laser cooled and trapped cesium atoms placed inside an optical cavity and interacting with a probe light beam slightly detuned from the 6S1/2(F=4) to 6P3/2(F=5) transition. The system exhibits very strong bistability and instabilities. The origin of the latter is found to be a competition between optical pumping and non-linearities due to saturation of the optical transition.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 17:46:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Giacobino", "E.", "" ], [ "Courty", "J. M.", "" ] ]
quant-ph/9801055
Astrid Lambrecht
A. Lambrecht, M.-T. Jaekel, S. Reynaud
The Casimir force for passive mirrors
12 pages, 2 figures, LaTeX
Phys.Lett. A225 (1997) 188-194
10.1016/S0375-9601(96)00885-7
null
quant-ph
null
We show that the Casimir force between mirrors with arbitrary frequency dependent reflectivities obeys bounds due to causality and passivity properties. The force is always smaller than the Casimir force between two perfectly reflecting mirrors. For narrow-band mirrors in particular, the force is found to decrease with the mirrors bandwidth.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 17:57:31 GMT" } ]
2009-10-31T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Jaekel", "M. -T.", "" ], [ "Reynaud", "S.", "" ] ]
quant-ph/9801056
Henry Stapp
Henry P. Stapp (Lawrence Berkeley National Laboratory)
Comments on Unruh's Paper
Comments on quant-ph/9710032, 6 pages
null
null
LBNL- 41288
quant-ph
null
Unruh has commented upon my recent proof that certain predictions of quantum theory are incompatible with the assertion that no influence of any kind acts backward in time in any Lorentz frame. Unruh fails to make a necessary distinction between statements that assert the existence of values, and statements that assert the existence merely of correlations between possible values. Consequently his argument fails to show that my proof involves a tacit or hidden reality assumption that is alien to quantum theory.
[ { "version": "v1", "created": "Fri, 23 Jan 1998 23:44:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Stapp", "Henry P.", "", "Lawrence Berkeley National Laboratory" ] ]
quant-ph/9801057
N. David Mermin
N. David Mermin
What is quantum mechanics trying to tell us?
37 pages, no figures. This is the published version of the lecture notes that expand on my earlier ``Ithaca interpretation of quantum mechanics'', quant-ph/9609013. ``Wootters' theorem'' has become the SSC theorem, an earlier citation has been added, and a joke about Talmudic scholarship has been dropped at the request of a referee
American Journal of Physics 66, 753-767 (1998)
10.1119/1.18955
null
quant-ph
null
I explore whether it is possible to make sense of the quantum mechanical description of physical reality by taking the proper subject of physics to be correlation and only correlation, and by separating the problem of understanding the nature of quantum mechanics from the hard problem of understanding the nature of objective probability in individual systems, and the even harder problem of understanding the nature of conscious awareness. The resulting perspective on quantum mechanics is supported by some elementary but insufficiently emphasized theorems. Whether or not it is adequate as a new Weltanschauung, this point of view toward quantum mechanics provides a different perspective from which to teach the subject or explain its peculiar character to people in other fields.
[ { "version": "v1", "created": "Sun, 25 Jan 1998 16:30:37 GMT" }, { "version": "v2", "created": "Wed, 2 Sep 1998 19:21:54 GMT" } ]
2009-10-31T00:00:00
[ [ "Mermin", "N. David", "" ] ]
quant-ph/9801058
Ron S. Rubin
Ron Rubin and Nathan Salwen
A Parity-Conserving Canonical Quantization for the Baker's Map
23 pages
null
null
null
quant-ph
null
We present here a complete description of the quantization of the baker's map. The method we use is quite different from that used in Balazs and Voros [BV] and Saraceno [S]. We use as the quantum algebra of observables the operators generated by {exp(2 Pi ix),exp (2 Pi ip)} and construct a unitary propagator such that as Planck's constant tends to zero,the classical dynamics is returned. For Planck's constant satisfying the integrality condition 1/N with N even, and for periodic boundary conditions for the wave functions on the torus, we show that the dynamics can be reduced to the dynamics on an N-dimensional Hilbert space, and the unitary N by N matrix propagator is the same as given in [BV] except for a small correction of order Planck's constant. This correction is is shown to preserve the symmetry x->1-x and p->1-p of the classical map for periodic boundary conditions.
[ { "version": "v1", "created": "Sun, 25 Jan 1998 23:59:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Rubin", "Ron", "" ], [ "Salwen", "Nathan", "" ] ]
quant-ph/9801059
Konrad Banaszek
Konrad Banaszek (Uniwersytet Warszawski)
Statistical uncertainty in quantum optical photodetection measurements
18 pages REVTeX, 7 figures included using epsf. Few minor corrections made, clarified conclusions
J.Mod.Opt. 46 (1999) 675-692
10.1080/09500349908231294
null
quant-ph physics.optics
null
We present a complete statistical analysis of quantum optical measurement schemes based on photodetection. Statistical distributions of quantum observables determined from a finite number of experimental runs are characterized with the help of the generating function, which we derive using the exact statistical description of raw experimental outcomes. We use the developed formalism to point out that the statistical uncertainty results in substantial limitations of the determined information on the quantum state: though a family of observables characterizing the quantum state can be safely evaluated from experimental data, its further use to obtain the expectation value of some operators generates exploding statistical errors. These issues are discussed using the example of phase-insensitive measurements of a single light mode. We study reconstruction of the photon number distribution from photon counting and random phase homodyne detection. We show that utilization of the reconstructed distribution to evaluate a simple well-behaved observable, namely the parity operator, encounters difficulties due to accumulation of statistical errors. As the parity operator yields the Wigner function at the phase space origin, this example also demonstrates that transformation between various experimentally determined representations of the quantum state is a quite delicate matter.
[ { "version": "v1", "created": "Mon, 26 Jan 1998 07:59:35 GMT" }, { "version": "v2", "created": "Mon, 23 Mar 1998 20:31:26 GMT" } ]
2015-06-26T00:00:00
[ [ "Banaszek", "Konrad", "", "Uniwersytet Warszawski" ] ]
quant-ph/9801060
Svozil Karl
Karl Svozil
First International Conference on Unconventional Models of Computation UMC'98. An Unconventional Review
latex, no figures, to be published in Bulletin of the European Association of Theoretical Computer Sciences
null
null
null
quant-ph
null
Review of the First International Conference on Unconventional Models of Computation UMC'98, Auckland, New Zealand, 5-9 January, 1998
[ { "version": "v1", "created": "Mon, 26 Jan 1998 11:05:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Svozil", "Karl", "" ] ]
quant-ph/9801061
Antoine Suarez
Antoine Suarez (Center for Quantum Philosophy, Zurich)
Does Quantum Mechanics imply influences acting backward in time in impact series experiments?
9 pages Latex, 1 eps figure
null
null
null
quant-ph
null
A real two-particle experiment is proposed in which one of the particles undergoes two successive impacts on beam-splitters. It is shown that the standard quantum mechanical superposition principle implies the possibility of influences acting backward in time ("retrocausation"), in striking contrast with the principle of causality. It is argued that nonlocality and retrocausation are not necessarily entangled.
[ { "version": "v1", "created": "Mon, 26 Jan 1998 17:13:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Suarez", "Antoine", "", "Center for Quantum Philosophy, Zurich" ] ]
quant-ph/9801062
null
Vladimir S. Mashkevich (Institute of Physics, Kiev)
Comment on ``Quantum Entanglement and the Nonexistence of Superluminal Signals''
3 pages, LATEX 2.09
null
null
null
quant-ph
null
We argue that the claim given in quant-ph/9801014 is untenable. The fallacy in the proof is a misinterpretation of the no-cloning theorem, which does not allow quantum jumps, specifically measurements.
[ { "version": "v1", "created": "Tue, 27 Jan 1998 09:36:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Mashkevich", "Vladimir S.", "", "Institute of Physics, Kiev" ] ]
quant-ph/9801063
Giacomo Mauro D'Ariano
Giacomo M. D'Ariano and Prem Kumar (Department of Electrical and Computer Engineering Northwestern University, Evanston, IL, USA)
A quantum-mechanical study of optical regenerators based on nonlinear-loop mirrors
420KB tar file, including 5 eps figures. To appear on IEEE Photonics Technology Letters
IEEE Photonics Tech.Lett. 10 (1998) 699-701
10.1109/68.669331
null
quant-ph
null
We present a quantum-mechanical analysis of a nonlinear interferometer that achieves optical switching via cross-phase modulation resulting from the Kerr effect. We show how it performs as a very precise optical regenerator, highly improving the transmitted bit-error rate in the presence of loss.
[ { "version": "v1", "created": "Tue, 27 Jan 1998 10:23:14 GMT" } ]
2009-10-31T00:00:00
[ [ "D'Ariano", "Giacomo M.", "", "Department of Electrical and\n Computer Engineering Northwestern University, Evanston, IL, USA" ], [ "Kumar", "Prem", "", "Department of Electrical and\n Computer Engineering Northwestern University, Evanston, IL, USA" ] ]
quant-ph/9801064
Stephen Choi
S. Choi, S. A. Morgan, and K. Burnett
Phenomenological damping in trapped atomic Bose-Einstein condensates
5 pages including 2 figures. To appear in Phys. Rev. A as a Brief Report
null
10.1103/PhysRevA.57.4057
null
quant-ph
null
The method of phenomenological damping developed by Pitaevskii for superfluidity near the $\lambda$ point is simulated numerically for the case of a dilute, alkali, inhomogeneous Bose-condensed gas near absolute zero. We study several features of this method in describing the damping of excitations in a Bose-Einstein condensate. In addition, we show that the method may be employed to obtain numerically accurate ground states for a variety of trap potentials.
[ { "version": "v1", "created": "Wed, 28 Jan 1998 11:31:26 GMT" } ]
2009-10-31T00:00:00
[ [ "Choi", "S.", "" ], [ "Morgan", "S. A.", "" ], [ "Burnett", "K.", "" ] ]
quant-ph/9801065
Giacomo Mauro D'Ariano
G. M. D'Ariano, C. Macchiavello, and L. Maccone (Dipartimento di Fisica "A. Volta", Universita' di Pavia, Italy)
Noise, errors and information in quantum amplification
20 pages, 4 eps figures, 41K gzipped tar file
Int.J.Mod.Phys. B11 (1997) 3385
10.1142/S0217979297001660
null
quant-ph
null
We analyze and compare the characterization of a quantum device in terms of noise, transmitted bit-error-rate (BER) and mutual information, showing how the noise description is meaningful only for Gaussian channels. After reviewing the description of a quantum communication channel, we study the insertion of an amplifier. We focus attention on the case of direct detection, where the linear amplifier has a 3 decibels noise figure, which is usually considered an unsurpassable limit, referred to as the standard quantum limit (SQL). Both noise and BER could be reduced using an ideal amplifier, which is feasible in principle. However, just a reduction of noise beyond the SQL does not generally correspond to an improvement of the BER or of the mutual information. This is the case of a laser amplifier, where saturation can greatly reduce the noise figure, although there is no corresponding improvement of the BER. Such mechanism is illustrated on the basis of Monte Carlo simulations.
[ { "version": "v1", "created": "Wed, 28 Jan 1998 18:21:33 GMT" } ]
2015-06-26T00:00:00
[ [ "D'Ariano", "G. M.", "", "Dipartimento di\n Fisica \"A. Volta\", Universita' di Pavia, Italy" ], [ "Macchiavello", "C.", "", "Dipartimento di\n Fisica \"A. Volta\", Universita' di Pavia, Italy" ], [ "Maccone", "L.", "", "Dipartimento di\n Fisica \"A. Volta\", Universita' di Pavia, Italy" ] ]
quant-ph/9801066
Dr. Daniel A. Lidar
David Biron (1), Ofer Biham (1), Eli Biham (2), Markus Grassl (3) and Daniel A. Lidar (4) ((1) Racah Institute of Physics, The Hebrew University, Israel, (2) Computer Science Department, Technion, Israel, (3) Institut fur Algorithmen und Kognitive Systeme, Universitat Karlsruhe, Germany, (4) Department of Chemistry, University of California, Berkeley, USA)
Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution
8 pages, llncs style. To be published in the proceedings of the 1st NASA International Conference on Quantum Computing and Quantum Communications
"Quantum Computing & Quantum Communications; First NASA International Conference; selected papers, QCQC'98", C.P. Williams (ed.), Lecture Notes in Computer Science vol. 1509, pp. 140-147 (Springer, 1998).
null
null
quant-ph
null
Grover's algorithm for quantum searching of a database is generalized to deal with arbitrary initial amplitude distributions. First order linear difference equations are found for the time evolution of the amplitudes of the r marked and N-r unmarked states. These equations are solved exactly. An expression for the optimal measurement time T \sim O(\sqrt{N/r}) is derived which is shown to depend only on the initial average amplitudes of the marked and unmarked states. A bound on the probability of measuring a marked state is derived, which depends only on the standard deviation of the initial amplitude distributions of the marked or unmarked states.
[ { "version": "v1", "created": "Wed, 28 Jan 1998 19:22:47 GMT" }, { "version": "v2", "created": "Mon, 11 May 1998 22:41:00 GMT" } ]
2016-09-08T00:00:00
[ [ "Biron", "David", "" ], [ "Biham", "Ofer", "" ], [ "Biham", "Eli", "" ], [ "Grassl", "Markus", "" ], [ "Lidar", "Daniel A.", "" ] ]
quant-ph/9801067
Matteo G. A. Paris
A. V. Chizhov, V. De Renzi and M. G. A. Paris
A two-step optimized measurement for the phase-shift
Latex 5 figs -- More info at http://enterprise.pv.infn.it/~paris
Phys.Lett. A237 (1998) 201
10.1016/S0375-9601(97)00852-9
null
quant-ph
null
A two-step detection strategy is suggested for the precise measurement of the optical phase-shift. In the first step an unsharp, however, unbiased joint measurement of the phase and photon number is performed by heterodyning the signal field. Information coming from this step is then used for suitable squeezing of the probe mode to obtain a sharp phase distribution. Application to squeezed states leads to a phase sensitivity scaling as $\Delta\phi\simeq N^{-1}$ relative to the total number of photons impinged into the apparatus. Numerical simulations of the whole detection strategy are also also presented.
[ { "version": "v1", "created": "Thu, 29 Jan 1998 13:45:36 GMT" } ]
2009-10-31T00:00:00
[ [ "Chizhov", "A. V.", "" ], [ "De Renzi", "V.", "" ], [ "Paris", "M. G. A.", "" ] ]
quant-ph/9801068
Matteo G. A. Paris
Matteo G. A. Paris (Quantum Optics Group -- University of Pavia)
Quantum Binary Decision for Driven Harmonic Oscillator
Latex 5 figs -- More info at http://enterprise.pv.infn.it/~paris
Int.J.Mod.Phys. B11 (1997) 3419-3432
10.1142/S0217979297001684
null
quant-ph
null
We address the problem of determining whether or not a harmonic oscillator has been perturbed by an external force. Quantum detection and estimation theory has been used in devising optimum measurement schemes. Detection probability has been evaluated for different initial state preparations of oscillator. The corresponding lower bounds on minimum detectable perturbation intensity has been evaluated and a general bound for random phase perturbation has been also induced.
[ { "version": "v1", "created": "Thu, 29 Jan 1998 13:50:44 GMT" } ]
2015-06-26T00:00:00
[ [ "Paris", "Matteo G. A.", "", "Quantum Optics Group -- University of Pavia" ] ]
quant-ph/9801069
Michal Horodecki
Michal Horodecki, Pawel Horodecki and Ryszard Horodecki
Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
RevTeX, 4 pages
Phys.Rev.Lett. 80 (1998) 5239-5242
10.1103/PhysRevLett.80.5239
null
quant-ph
null
It is shown that if a mixed state can be distilled to the singlet form, it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies that there are two qualitatively different types of entanglement: ``free'' entanglement which is distillable, and ``bound'' entanglement which cannot be brought to the singlet form useful for quantum communication purposes. Possible physical meaning of the result is discussed.
[ { "version": "v1", "created": "Thu, 29 Jan 1998 21:50:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Horodecki", "Michal", "" ], [ "Horodecki", "Pawel", "" ], [ "Horodecki", "Ryszard", "" ] ]
quant-ph/9801070
Karin Muench-Berndl
D. Duerr, S. Goldstein, K. Muench-Berndl, N. Zanghi
Hypersurface Bohm-Dirac models
17 pages, 3 figures, RevTex. Completely revised version
Phys.Rev. A60 (1999) 2729-2736
10.1103/PhysRevA.60.2729
null
quant-ph
null
We define a class of Lorentz invariant Bohmian quantum models for N entangled but noninteracting Dirac particles. Lorentz invariance is achieved for these models through the incorporation of an additional dynamical space-time structure provided by a foliation of space-time. These models can be regarded as the extension of Bohm's model for N Dirac particles, corresponding to the foliation into the equal-time hyperplanes for a distinguished Lorentz frame, to more general foliations. As with Bohm's model, there exists for these models an equivariant measure on the leaves of the foliation. This makes possible a simple statistical analysis of position correlations analogous to the equilibrium analysis for (the nonrelativistic) Bohmian mechanics.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 09:28:30 GMT" }, { "version": "v2", "created": "Fri, 28 May 1999 14:27:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Duerr", "D.", "" ], [ "Goldstein", "S.", "" ], [ "Muench-Berndl", "K.", "" ], [ "Zanghi", "N.", "" ] ]
quant-ph/9801071
Marc Jaekel
Marc-Thierry Jaekel (Laboratoire de Physique The'orique de l'Ecole Normale Supe'rieure), Astrid Lambrecht and Serge Reynaud (Laboratoire Kastler-Brossel)
Relativity of Motion in Vacuum
6 pages, Contribution for "Vacuum", eds E. Gunzig and S. Diner
null
null
LPTENS 97/61A
quant-ph gr-qc
null
The existence of vacuum fluctuations leads to reconsider the question of relativity of motion. The present article is devoted to this aim with a main line which can be formulated as follows: ``The principle of relativity of motion is directly related to symmetries of quantum vacuum''. Keeping close to this statement, we discuss the controversial relation between vacuum and motion. We introduce the question of relativity of motion in its historical development before coming to the results obtained more recently.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 10:17:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Jaekel", "Marc-Thierry", "", "Laboratoire de Physique The'orique de l'Ecole\n Normale Supe'rieure" ], [ "Lambrecht", "Astrid", "", "Laboratoire\n Kastler-Brossel" ], [ "Reynaud", "Serge", "", "Laboratoire\n Kastler-Brossel" ] ]
quant-ph/9801072
Marc Jaekel
Marc-Thierry Jaekel (Laboratoire de Physique The'orique de l'Ecole Normale Supe'rieure) and Serge Reynaud (Laboratoire Kastler-Brossel)
Quantum Langevin Equations and Stability
12 pages
J.Phys.I(France) 3 (1993) 339-352
10.1051/jp1:1993135
LPTENS 92/12
quant-ph
null
Different quantum Langevin equations obtained by coupling a particle to a field are examined. Instabilities or violations of causality affect the motion of a point charge linearly coupled to the electromagnetic field. In contrast, coupling a scatterer with a reflection cut-off to radiation pressure leads to stable and causal motions. The radiative reaction force exerted on a scatterer, and hence its quasistatic mass, depend on the field state. Explicit expressions for a particle scattering a thermal field in a two dimensional space-time are given.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 10:18:33 GMT" } ]
2023-04-14T00:00:00
[ [ "Jaekel", "Marc-Thierry", "", "Laboratoire de Physique The'orique de l'Ecole\n Normale Supe'rieure" ], [ "Reynaud", "Serge", "", "Laboratoire Kastler-Brossel" ] ]
quant-ph/9801073
Marc Jaekel
Marc-Thierry Jaekel (Laboratoire de Physique The'orique de l'Ecole Normale Supe'rieure) and Serge Reynaud (Laboratoire Kastler-Brossel)
Quantum Fluctuations of Mass for a Mirror in Vacuum
6 pages
Phys.Lett. A180 (1993) 9-14
10.1016/0375-9601(93)90486-J
LPTENS 93/21
quant-ph
null
A mirror in vacuum is coupled to fluctuating quantum fields. As a result, its energy-momentum and mass fluctuate. We compute the correlation spectra of force and mass fluctuations for a mirror at rest in vacuum (of a scalar field in a two-dimensional space-time). The obtained expressions agree with a mass correction equal to a vacuum energy stored by the mirror. We introduce a Lagrangian model which consistently describes a scalar field coupled to a scatterer, with inertial mass being a quantum variable.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 10:19:42 GMT" } ]
2009-10-31T00:00:00
[ [ "Jaekel", "Marc-Thierry", "", "Laboratoire de Physique The'orique de l'Ecole\n Normale Supe'rieure" ], [ "Reynaud", "Serge", "", "Laboratoire Kastler-Brossel" ] ]
quant-ph/9801074
Marc Jaekel
Marc-Thierry Jaekel (Laboratoire de Physique The'orique de l'Ecole Normale Supe'rieure) and Serge Reynaud (Laboratoire Kastler-Brossel)
Gravitational Quantum Limit for Length Measurements
6 pages
Phys.Lett. A185 (1994) 143-148
10.1016/0375-9601(94)90838-9
LPTENS 93/44
quant-ph gr-qc
null
We discuss a limit for sensitivity of length measurements which is due to the effect of vacuum fluctuations of gravitational field. This limit is associated with irreducible quantum fluctuations of geodesic distances and it is characterized by a noise spectrum with an order of magnitude mainly determined by Planck length. The gravitational vacuum fluctuations may (in an analysis restricted to questions of principle and when the measurement strategy is optimized) dominate fluctuations added by the measurement apparatus if macroscopic masses, i.e. masses larger than Planck mass, are used.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 10:20:17 GMT" } ]
2009-10-31T00:00:00
[ [ "Jaekel", "Marc-Thierry", "", "Laboratoire de Physique The'orique de l'Ecole\n Normale Supe'rieure" ], [ "Reynaud", "Serge", "", "Laboratoire Kastler-Brossel" ] ]
quant-ph/9801075
Mayburov S. N.
S.Mayburov
Quantum Reference Frames and Relativistic Time Operator
14 pages, Latex, Talk given at 'Uncertain Reality' Simposium, New Delhi, January 1998. To appear in Proceedings. Version 2 - 04.02.98 : Some Comments are added. Equation (21) corrected
null
null
null
quant-ph gr-qc
null
Aharonov-Kaufherr model of quantum space-time which accounts Reference Frames (RF) quantum effects is considered in Relativistic Quantum Mechanics framework. For RF connected with some macroscopic object its free quantum motion - wave packet smearing results in additional uncertainty of test particle coordinate. Due to the same effects the use of Galilean or Lorentz transformations for this RFs becomes incorrect and the special quantum space-time transformations are introduced. In particular for any RF the proper time becomes the operator in other RF. This time operator calculated solving relativistic Heisenberg equations for some quantum clocks models. Generalized Klein- Gordon equation proposed which depends on both the particle and RF masses.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 14:32:23 GMT" }, { "version": "v2", "created": "Wed, 4 Feb 1998 13:41:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Mayburov", "S.", "" ] ]
quant-ph/9801076
S. Popescu
N. Linden, S. Popescu, A. Sudbery
Non-local properties of multi-particle density matrices
13 pages RevTeX
Phys.Rev.Lett.83:243-247,1999
10.1103/PhysRevLett.83.243
null
quant-ph
null
As far as entanglement is concerned, two density matrices of $n$ particles are equivalent if they are on the same orbit of the group of local unitary transformations, $U(d_1)\times...\times U(d_n)$ (where the Hilbert space of particle $r$ has dimension $d_r$). We show that for $n$ greater than or equal to two, the number of independent parameters needed to specify an $n$-particle density matrix up to equivalence is $\Pi_r d_r^2 - \sum_r d_r^2 + n - 1$. For $n$ spin-${1\over 2}$ particles we also show how to characterise generic orbits, both by giving an explicit parametrisation of the orbits and by finding a finite set of polynomial invariants which separate the orbits.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 15:03:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Linden", "N.", "" ], [ "Popescu", "S.", "" ], [ "Sudbery", "A.", "" ] ]
quant-ph/9801077
Marek Ozana
M.Ozana, A.L.Shelankov
Squeezed States of a Particle in Magnetic Field
RevTex, 12 pages, 4 Postscript figures, submitted to Physics of the Solid State; added references
Solid State Phys. 40 (1998) 1276
10.1134/1.1130543
null
quant-ph
null
For a charged particle in a homogeneous magnetic field, we construct stationary squeezed states which are eigenfunctions of the Hamiltonian and the non-Hermitian operator $\hat{X}_{\Phi} = \hat{X} \cos \Phi + \hat{Y} \sin \Phi$, $\hat{X}$ and $\hat{Y}$ being the coordinates of the Larmor circle center and $\Phi$ is a complex parameter. In the family of the squeezed states, the quantum uncertainty in the Larmor circle position is minimal. The wave functions of the squeezed states in the coordinate representation are found and their properties are discussed. Also, for arbitrary gauge of the vector potential we derive the symmetry operators of translations and rotations.
[ { "version": "v1", "created": "Fri, 30 Jan 1998 20:06:12 GMT" }, { "version": "v2", "created": "Sat, 7 Feb 1998 18:27:47 GMT" } ]
2009-10-31T00:00:00
[ [ "Ozana", "M.", "" ], [ "Shelankov", "A. L.", "" ] ]
quant-ph/9802001
Waldemar Puszkarz
Waldemar Puszkarz
Energy Ambiguity in Nonlinear Quantum Mechanics
Slightly extended, new references added, Latex, 15 pages
null
null
null
quant-ph
null
We observe that in nonlinear quantum mechanics, unlike in the linear theory, there exists, in general, a difference between the energy functional defined within the Lagrangian formulation as an appropriate conserved component of the canonical energy-momentum tensor and the energy functional defined as the expectation value of the corresponding nonlinear Hamiltonian operator. Some examples of such ambiguity are presented for a particularly simple model and some known modifications. However, we point out that there exist a class of nonlinear modifications of the Schr\"{o}dinger equation where this difference does not occur, which makes them more consistent in a manner similar to that of the linear Schr\"{o}dinger equation. It is found that necessary but not sufficient a condition for such modifications is the homogeneity of the modified Schr\"{o}dinger equation or its underlying Lagrangian density which is assumed to be ``bilinear'' in the wave function in some rather general sense. Yet, it is only for a particular form of this density that the ambiguity in question does not arise. A salient feature of this form is the presence of phase functionals. The present paper thus introduces a new class of modifications characterized by this desirable and rare property.
[ { "version": "v1", "created": "Tue, 3 Feb 1998 00:36:10 GMT" }, { "version": "v2", "created": "Wed, 4 Feb 1998 12:03:23 GMT" }, { "version": "v3", "created": "Mon, 9 Feb 1998 04:09:47 GMT" }, { "version": "v4", "created": "Wed, 3 Mar 1999 03:22:40 GMT" }, { "version": "v5", "created": "Fri, 12 Mar 1999 11:14:48 GMT" }, { "version": "v6", "created": "Mon, 17 May 1999 05:40:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Puszkarz", "Waldemar", "" ] ]
quant-ph/9802002
Yurij N. Morokov
Yu. N. Morokov
Long beating wavelength in the Schwarz-Hora effect
3 pages, RevTex
Phys.Rev.A56:5162,1997
10.1103/PhysRevA.56.5162
null
quant-ph
null
Thirty years ago, H.Schwarz has attempted to modulate an electron beam with optical frequency. When a 50-keV electron beam crossed a thin crystalline dielectric film illuminated with laser light, electrons produced the electron-diffraction pattern not only at a fluorescent target but also at a nonfluorescent target. In the latter case the pattern was of the same color as the laser light (the Schwarz-Hora effect). This effect was discussed extensively in the early 1970s. However, since 1972 no reports on the results of further attempts to repeat those experiments in other groups have appeared, while the failures of the initial such attempts have been explained by Schwarz. The analysis of the literature shows there are several unresolved up to now contradictions between the theory and the Schwarz experiments. In this work we consider the interpretation of the long-wavelength spatial beating of the Schwarz-Hora radiation. A more accurate expression for the spatial period has been obtained, taking into account the mode structure of the laser field within the dielectric film. It is shown that the discrepancy of more than 10% between the experimental and theoretical results for the spatial period cannot be reduced by using the existing quantum models that consider a collimated electron beam.
[ { "version": "v1", "created": "Sun, 1 Feb 1998 07:23:23 GMT" } ]
2008-12-18T00:00:00
[ [ "Morokov", "Yu. N.", "" ] ]
quant-ph/9802003
Piotr Garbaczewski
P. Garbaczewski
Schroedinger's interpolation problem and its probabilistic solutions
Tex file, J. Tch. Phys. 38, 205-209, (1997)
J.Tech.Phys. 38 (1997) 205-209
null
null
quant-ph cond-mat
null
Probablistic solutions of the so called Schr\"{o}dinger boundary data problem provide for a unique Markovian interpolation between any two strictly positive probability densities designed to form the input-output statistics data for a certain dynamical process taking place in a finite-time interval. The key problem is to select the jointly continuous in all variables positive semigroup kernel, appropriate for the phenomenological (physical) situation.
[ { "version": "v1", "created": "Mon, 2 Feb 1998 10:52:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Garbaczewski", "P.", "" ] ]
quant-ph/9802004
Piotr Garbaczewski
P. Garbaczewski
Schroedinger's interpolation problem through Feynman-Kac kernels
Latex file, Acta Phys. Polon. B 27, 617-642, (1996)
Acta Phys.Polon. B27 (1996) 617-642
null
null
quant-ph
null
We discuss the so-called Schr{\"o}dinger problem of deducing the microscopic (basically stochastic) evolution that is consistent with given positive boundary probability densities for a process covering a finite fixed time interval. The sought for dynamics may preserve the probability measure or induce its evolution, and is known to be uniquely reproducible, if the Markov property is required. Feynman-Kac type kernels are the principal ingredients of the solution and determine the transition probability density of the corresponding stochastic process. The result applies to a large variety of nonequilibrium statistical physics and quantum situations.
[ { "version": "v1", "created": "Mon, 2 Feb 1998 10:52:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Garbaczewski", "P.", "" ] ]
quant-ph/9802005
Piotr Garbaczewski
Ph. Blanchard, P. Garbaczewski
Natural boundaries for the Smoluchowski equation and affiliated diffusion processes
Latex file, Phys. Rev. E 49, 3815-3824, (1994)
Phys.Rev.E49:3815-3824,1994
10.1103/PhysRevE.49.3815
null
quant-ph cond-mat
null
The Schr\"{o}dinger problem of deducing the microscopic dynamics from the input-output statistics data is known to admit a solution in terms of Markov diffusions. The uniqueness of solution is found linked to the natural boundaries respected by the underlying random motion. By choosing a reference Smoluchowski diffusion process, we automatically fix the Feynman-Kac potential and the field of local accelerations it induces. We generate the family of affiliated diffusions with the same local dynamics, but different inaccessible boundaries on finite, semi-infinite and infinite domains. For each diffusion process a unique Feynman-Kac kernel is obtained by the constrained (Dirichlet boundary data) Wiener path integration.As a by-product of the discussion, we give an overview of the problem of inaccessible boundaries for the diffusion and bring together (sometimes viewed from unexpected angles) results which are little known, and dispersed in publications from scarcely communicating areas of mathematics and physics.
[ { "version": "v1", "created": "Mon, 2 Feb 1998 11:36:34 GMT" } ]
2008-12-18T00:00:00
[ [ "Blanchard", "Ph.", "" ], [ "Garbaczewski", "P.", "" ] ]
quant-ph/9802006
Paul Busch
P. Busch
Remarks on unsharp quantum observables, objectification, and modal interpretations
12 pages, LaTeX, Contribution to the Workshop "The Modal Interpretation of Quantum Mechanics", Utrecht, 1996
"The Modal Interpretation of Quantum Mechanics", eds. D.Dieks, P.E. Vermaas, Kluwer, Dordrecht, 1998, pp. 279-288.
null
null
quant-ph
null
This paper addresses the question whether a variant of a modal interpretation is conceivable that could accommodate property ascriptions associated with nonorthogonal resolutions of the unity and nonorthogonal families of relative states as they occur in imperfect or genuinely unsharp measurements. I will review a recent formulation of the quantum measurement problem in the form of an insolubility theorem that incorporates the case of unsharp object observables as well as certain types of unsharp pointers. In addition to demonstrating the necessity for some modification of quantum mechanics, this allows me to specify the logical position of the modal interpretations as a resolution to the measurement problem and to indicate why I think their current versions are not yet capable of dealing adequately with unsharp quantum observables. The technical tools that will have been explained along this line of reasoning will finally serve to make precise the notion of (unsharp) value ascription that I would find desirable for a modal interpretation to ascertain.
[ { "version": "v1", "created": "Mon, 2 Feb 1998 16:32:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Busch", "P.", "" ] ]
quant-ph/9802007
Daniel Gottesman
Daniel Gottesman
Fault-Tolerant Quantum Computation with Higher-Dimensional Systems
12 pages, LaTeX w/ llncs style, to be presented at the 1st NASA International Conference on Quantum Computing and Quantum Communications
Chaos Solitons Fractals 10:1749-1758,1999
10.1016/S0960-0779(98)00218-5
LA-UR 98-270
quant-ph
null
Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider a quantum computer made up of d-dimensional systems. There is a straightforward generalization of the class of stabilizer codes to d-dimensional systems, and I will discuss the theory of fault-tolerant computation using such codes. I prove that universal fault-tolerant computation is possible with any higher-dimensional stabilizer code for prime d.
[ { "version": "v1", "created": "Mon, 2 Feb 1998 23:02:38 GMT" } ]
2010-05-27T00:00:00
[ [ "Gottesman", "Daniel", "" ] ]
quant-ph/9802008
Taksu Cheon de Caracorum
Takaomi Shigehara (Saitama U), Hiroshi Mizoguchi (Saitama U), Taketoshi Mishima (Saitama U), Taksu Cheon (Kochi Tech)
Chaos Induced by Quantization
ReVTeX 7pg with inlet figures
IEICE Trans.Fund.Elec.Comm.Comp.Sci. E81-A (1998) 1762-1768
null
null
quant-ph chao-dyn cond-mat nlin.CD
null
In this paper, we show that two-dimensional billiards with point interactions inside exhibit a chaotic nature in the microscopic world, although their classical counterpart is non-chaotic. After deriving the transition matrix of the system by using the self-adjoint extension theory of functional analysis, we deduce the general condition for the appearance of chaos. The prediction is confirmed by numerically examining the statistical properties of energy spectrum of rectangular billiards with multiple point interactions inside. The dependence of the level statistics on the strength as well as the number of the scatterers is displayed. KEYWORDS: wave chaos, quantum mechanics, pseudointegrable billiard, point interaction, functional analysis
[ { "version": "v1", "created": "Tue, 3 Feb 1998 06:45:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Shigehara", "Takaomi", "", "Saitama U" ], [ "Mizoguchi", "Hiroshi", "", "Saitama U" ], [ "Mishima", "Taketoshi", "", "Saitama U" ], [ "Cheon", "Taksu", "", "Kochi Tech" ] ]
quant-ph/9802009
Chau Hoi Fung
H. F. Chau
Quantum Convolutional Error Correction Codes
To be reported in the 1st NASA Conf. on Quantum Comp., uses llncs.sty, 12 pages
null
null
HKUPHYS-HFC-013
quant-ph
null
I report two general methods to construct quantum convolutional codes for quantum registers with internal $N$ states. Using one of these methods, I construct a quantum convolutional code of rate 1/4 which is able to correct one general quantum error for every eight consecutive quantum registers.
[ { "version": "v1", "created": "Tue, 3 Feb 1998 10:11:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Chau", "H. F.", "" ] ]
quant-ph/9802010
Fabian Wagner
Michael L.G. Redhead, Fabian Wagner
Unified Treatment of EPR and Bell Arguments in Algebraic Quantum Field Theory
12 Pages, LaTex, to appear in Found.Phys.Letters
Found.Phys.Lett. 11 (1998) 111-125
null
DAMTP-98-8
quant-ph
null
A conjecture concerning vacuum correlations in axiomatic quantum field theory is proved. It is shown that this result can be applied both in the context of EPR-type experiments and Bell-type experiments.
[ { "version": "v1", "created": "Tue, 3 Feb 1998 11:08:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Redhead", "Michael L. G.", "" ], [ "Wagner", "Fabian", "" ] ]
quant-ph/9802011
Paul Busch
P. Busch
Can `unsharp objectification' solve the quantum measurement problem?
8 pages, LaTeX, Contribution to the Quantum Structures Conference, Berlin, 1996
Int.J.Theor.Phys. 37 (1998) 241-247
null
null
quant-ph
null
The quantum measurement problem is formulated in the form of an insolubility theorem that states the impossibility of obtaining, for all available object preparations, a mixture of states of the compound object and apparatus system that would represent definite pointer positions. A proof is given that comprises arbitrary object observables, whether sharp or unsharp, and besides sharp pointer observables a certain class of unsharp pointers, namely, those allowing for the property of pointer value definiteness. A recent result of H. Stein is applied to allow for the possibility that a given measurement may not be applicable to all possible object states but only to a subset of them. The question is raised whether the statement of the insolubility theorem remains true for genuinely unsharp observables. This gives rise to a precise notion of unsharp objectification.
[ { "version": "v1", "created": "Tue, 3 Feb 1998 12:07:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Busch", "P.", "" ] ]
quant-ph/9802012
Papp Zoltan
G. L\'evai, B. K\'onya and Z. Papp
Unified treatment of the Coulomb and harmonic oscillator potentials in $D$ dimensions
18 pages, 3 ps figures, revtex
J.Math.Phys. 39 (1998) 5811-5823
10.1063/1.532595
null
quant-ph
null
Quantum mechanical models and practical calculations often rely on some exactly solvable models like the Coulomb and the harmonic oscillator potentials. The $D$ dimensional generalized Coulomb potential contains these potentials as limiting cases, thus it establishes a continuous link between the Coulomb and harmonic oscillator potentials in various dimensions. We present results which are necessary for the utilization of this potential as a model and practical reference problem for quantum mechanical calculations. We define a Hilbert space basis, the generalized Coulomb-Sturmian basis, and calculate the Green's operator on this basis and also present an SU(1,1) algebra associated with it. We formulate the problem for the one-dimensional case too, and point out that the complications arising due to the singularity of the one-dimensional Coulomb problem can be avoided with the use of the generalized Coulomb potential.
[ { "version": "v1", "created": "Tue, 3 Feb 1998 13:45:35 GMT" } ]
2015-06-26T00:00:00
[ [ "Lévai", "G.", "" ], [ "Kónya", "B.", "" ], [ "Papp", "Z.", "" ] ]
quant-ph/9802013
Gennady Berman
Gennady P. Berman, Gary D. Doolen, Gustavo V. L\'opez, V.I. Tsifrinovich
Generalized Quantum Control-Not Gate in Two-Spin Ising System
8 pages, 4 figures
null
null
null
quant-ph
null
The physical implementation of the quantum Control-Not gate for a two-spin system is investigated numerically. The concept of a generalized quantum Control-Not gate, with arbitrary phase shift, is introduced. It is shown that a resonant $\pi$-pulse provides a simple example of a generalized quantum Control-Not gate.
[ { "version": "v1", "created": "Tue, 3 Feb 1998 22:10:51 GMT" } ]
2009-09-25T00:00:00
[ [ "Berman", "Gennady P.", "" ], [ "Doolen", "Gary D.", "" ], [ "López", "Gustavo V.", "" ], [ "Tsifrinovich", "V. I.", "" ] ]
quant-ph/9802014
S. E. Massen
S.E. Massen and C.P. Panos
Universal property of the information entropy in atoms, nuclei and atomic clusters
3 pages, REVTEX, one figure
Phys.Lett. A246 (1998) 530-533
10.1016/S0375-9601(98)00524-6
THES-TP 98/01
quant-ph
null
The position- and momentum-space information entropies of the electron distributions of atomic clusters are calculated using a Woods-Saxon single particle potential. The same entropies are also calculated for nuclear distributions according to the Skyrme parametrization of the nuclear mean field. It turns out that a similar functional form S=a+b ln N for the entropy as function of the number of particles N holds approximately for atoms, nuclei and atomic clusters. It is conjectured that this is a universal property of a many-fermion system in a mean field. It is also seen that there is an analogy of our expression for S to Boltzmann's thermodynamic entropy S=k ln W.
[ { "version": "v1", "created": "Wed, 4 Feb 1998 13:01:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Massen", "S. E.", "" ], [ "Panos", "C. P.", "" ] ]
quant-ph/9802015
Gennady Berman
Gennady P. Berman, Gary D. Doolen, Gustavo V. Lopez, and Vladimir I. Tsifrinovich
Quantum Entangled States and Quasiclassical Dynamics in Macroscopic Spin Systems
6 pages 2 figures
null
null
null
quant-ph
null
When dealing with macroscopic objects one usually observes quasiclassical phenomena, which can be described in terms of quasiclassical (or classical) equations of motion. Recent development of the theory of quantum computation is based on implementation of the entangled states which do not have a classical analogy. Using a simple example of a paramagnetic spin system we show that the entangled states can be detected in standard macroscopic experiments as a sharp deviation from quasiclassical motion.
[ { "version": "v1", "created": "Thu, 5 Feb 1998 04:09:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Berman", "Gennady P.", "" ], [ "Doolen", "Gary D.", "" ], [ "Lopez", "Gustavo V.", "" ], [ "Tsifrinovich", "Vladimir I.", "" ] ]
quant-ph/9802016
Gennady Berman
Gennady P. Berman, Gary D. Doolen, Gustavo V. Lopez, and Vladimir I. Tsifrinovich
Dynamics of a Quantum Control-Not Gate for an Ensemble of Four-Spin Molecules at Room Temperature
7 pages 3 figures
null
10.1103/PhysRevB.58.11570
null
quant-ph
null
We investigate numerically a single-pulse implementation of a quantum Control-Not (CN) gate for an ensemble of Ising spin systems at room temperature. For an ensemble of four-spin ``molecules'' we simulate the time-evolution of the density matrix, for both digital and superpositional initial conditions. Our numerical calculations confirm the feasibility of implementation of quantum CN gate in this system at finite temperature, using electromagnetic $\pi$-pulse.
[ { "version": "v1", "created": "Thu, 5 Feb 1998 04:53:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Berman", "Gennady P.", "" ], [ "Doolen", "Gary D.", "" ], [ "Lopez", "Gustavo V.", "" ], [ "Tsifrinovich", "Vladimir I.", "" ] ]
quant-ph/9802017
Ramin Golestanian
Ramin Golestanian, and Mehran Kardar
Path Integral Approach to the Dynamic Casimir Effect with Fluctuating Boundaries
RevTeX with 1 ps figure using epsf
Phys.Rev.A58:1713-1722,1998
10.1103/PhysRevA.58.1713
null
quant-ph cond-mat
null
A path integral formulation is developed for the dynamic Casimir effect. It allows us to study arbitrary deformations in space and time of the perfectly reflecting (conducting) boundaries of a cavity. The mechanical response of the intervening vacuum is calculated to linear order in the frequency-wavevector plane, using which a plethora of interesting phenomena can be studied. For a single corrugated plate we find a correction to mass at low frequencies, and an effective shear viscosity at high frequencies that are both anisotropic. The anisotropy is set by the wavevector of the corrugation. For two plates, the mass renormalization is modified by a function of the ratio between the separation of the plates and the wave-length of corrugations. The dissipation rate is not modified for frequencies below the lowest optical mode of the cavity, and there is a resonant dissipation for all frequencies greater than that. In this regime, a divergence in the response function implies that such high frequency deformation modes of the cavity can not be excited by any macroscopic external forces. This phenomenon is intimately related to resonant particle creation. For particular examples of two corrugated plates that are stationary, or moving uniformly in the lateral directions, Josephson-like effects are observed. For capillary waves on the surface of mercury a renormalization to surface tension, and sound velocity is obtained.
[ { "version": "v1", "created": "Thu, 5 Feb 1998 18:31:14 GMT" }, { "version": "v2", "created": "Wed, 2 Dec 1998 23:17:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Golestanian", "Ramin", "" ], [ "Kardar", "Mehran", "" ] ]
quant-ph/9802018
Emanuel Knill
D. G. Cory, W. Mass, M. Price, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, S. S. Somaroo
Experimental Quantum Error Correction
5 pages, three figures
Phys.Rev.Lett. 81 (1998) 2152-2155
10.1103/PhysRevLett.81.2152
null
quant-ph
null
Quantum error correction is required to compensate for the fragility of the state of a quantum computer. We report the first experimental implementations of quantum error correction and confirm the expected state stabilization. In NMR computing, however, a net improvement in the signal-to-noise would require very high polarization. The experiment implemented the 3-bit code for phase errors in liquid state state NMR.
[ { "version": "v1", "created": "Fri, 6 Feb 1998 01:00:26 GMT" } ]
2009-10-31T00:00:00
[ [ "Cory", "D. G.", "" ], [ "Mass", "W.", "" ], [ "Price", "M.", "" ], [ "Knill", "E.", "" ], [ "Laflamme", "R.", "" ], [ "Zurek", "W. H.", "" ], [ "Havel", "T. F.", "" ], [ "Somaroo", "S. S.", "" ] ]
quant-ph/9802019
Paul Slater
Paul B. Slater (University of California)
Volume Elements of Monotone Metrics on the n x n Density Matrices as Densities-of-States for Thermodynamic Purposes. II
15 pages, LaTeX, 7 postscript figures. We retitle and slightly modify the paper. For Part I (the case of partially entangled spin-1/2 particles), see quant-ph/9711010
null
null
null
quant-ph cond-mat
null
We derive explicit expressions for the volume elements of both the minimal and maximal monotone metrics over the (n^{2} - 1)-dimensional convex set of n x n density matrices for the cases n = 3 and 4. We make further progress for the specific n = 3 maximal-monotone case, by taking the limit of a certain ratio of integration results, obtained using an orthogonal set of eight coordinates. By doing so, we find remarkably simple marginal probability distributions based on the corresponding volume element, which we then use for thermodynamic purposes. We, thus, find a spin-1 analogue of the Langevin function. In the fully general n = 4 situation, however, we are impeded in making similar progress by the inability to diagonalize a 3 x 3 Hermitian matrix and thereby obtain an orthogonal set of coordinates to use in the requisite integrations.
[ { "version": "v1", "created": "Fri, 6 Feb 1998 20:19:47 GMT" }, { "version": "v10", "created": "Wed, 5 Aug 1998 21:06:00 GMT" }, { "version": "v11", "created": "Wed, 2 Sep 1998 18:17:22 GMT" }, { "version": "v12", "created": "Thu, 3 Sep 1998 16:06:59 GMT" }, { "version": "v13", "created": "Mon, 7 Dec 1998 21:44:40 GMT" }, { "version": "v2", "created": "Fri, 13 Feb 1998 17:41:30 GMT" }, { "version": "v3", "created": "Tue, 10 Mar 1998 17:53:34 GMT" }, { "version": "v4", "created": "Thu, 26 Mar 1998 22:06:30 GMT" }, { "version": "v5", "created": "Fri, 27 Mar 1998 23:48:04 GMT" }, { "version": "v6", "created": "Mon, 11 May 1998 16:25:17 GMT" }, { "version": "v7", "created": "Thu, 21 May 1998 22:15:02 GMT" }, { "version": "v8", "created": "Fri, 26 Jun 1998 23:19:04 GMT" }, { "version": "v9", "created": "Thu, 2 Jul 1998 15:50:34 GMT" } ]
2009-09-25T00:00:00
[ [ "Slater", "Paul B.", "", "University of California" ] ]
quant-ph/9802020
Carlo Rovelli
Carlo Rovelli
``Incerto tempore, incertisque loci'': Can we compute the exact time at which a quantum measurement happens?
6 pages, revtex
Found.Phys. 28 (1998) 1031-1043
null
null
quant-ph gr-qc
null
Without addressing the measurement problem (i.e. what causes the wave function to ``collapse'', or to ``branch'', or a history to become realized, or a property to actualize), I discuss the problem of the timing of the quantum measurement: assuming that in an appropriate sense a measurement happens, when precisely does it happen? This question can be posed within most interpretations of quantum mechanics. By introducing the operator M, which measures whether or not the quantum measurement has happened, I suggest that, contrary to what is often claimed, quantum mechanics does provide a precise answer to this question, although a somewhat surprising one.
[ { "version": "v1", "created": "Sat, 7 Feb 1998 20:23:06 GMT" }, { "version": "v2", "created": "Tue, 17 Feb 1998 14:42:35 GMT" }, { "version": "v3", "created": "Fri, 13 Mar 1998 20:59:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Rovelli", "Carlo", "" ] ]
quant-ph/9802021
Asher Peres
Asher Peres
Comparing the strengths of various Bell inequalities
This paper has been withdrawn
null
null
null
quant-ph
null
This paper has been withdrawn because it is superseded by quant-ph/9905084 "Bayesian analysis of Bell inequalities.
[ { "version": "v1", "created": "Mon, 9 Feb 1998 08:09:08 GMT" }, { "version": "v2", "created": "Fri, 11 Jun 1999 07:58:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9802022
Masanao Ozawa
Masanao Ozawa (Nagoya University)
On the Concept of Quantum State Reduction: Inconsistency of the Orthodox View
15 pages, LaTeX, 1 Postscript figure
Annals of the Japan Association for Philosophy of Science 11 (2), 107-121 (2003)
10.4288/jafpos1956.11.107
null
quant-ph
null
The argument is re-examined that the program of deriving the rule of state reduction from the Schroedinger equation holding for the object-apparatus composite system falls into a vicious circle or an infinite regress called the von Neumann chain. It is shown that this argument suffers from a serious physical inconsistency concerning the causality between the reading of the outcome and the state reduction. A consistent argument which accomplishes the above program without falling into the circular argument is presented.
[ { "version": "v1", "created": "Mon, 9 Feb 1998 10:05:54 GMT" } ]
2020-06-26T00:00:00
[ [ "Ozawa", "Masanao", "", "Nagoya University" ] ]
quant-ph/9802023
M. Dakna
M. Dakna, G. Breitenbach, J. Mlynek, T. Opatrny, S. Schiller and D.-G. Welsch
Homodyne measurement of exponential phase moments for quantum-phase reconstruction
1 Table and 4 Postscript figures, using Latex
null
null
null
quant-ph
null
We directly sample the exponential moments of the canonical phase for various quantum states from the homodyne output. The method enables us to study the phase properties experimentally, without making the detour via reconstructing the density matrix or the Wigner function and calculating the phase statistics from them. In particular, combing the measurement with a measurement of the photon-number variance, we verify fundamental number-phase uncertainty.
[ { "version": "v1", "created": "Mon, 9 Feb 1998 10:53:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Dakna", "M.", "" ], [ "Breitenbach", "G.", "" ], [ "Mlynek", "J.", "" ], [ "Opatrny", "T.", "" ], [ "Schiller", "S.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/9802024
Paivi Torma
Paivi Torma
Transitions in quantum networks
Revised version: Eq.(7) of the previous version changed, references added; 4 pages, 1 figure
Phys.Rev.Lett. 81 (1998) 2185-2189
10.1103/PhysRevLett.81.2185
null
quant-ph
null
We consider transitions in quantum networks analogous to those in the two-dimensional Ising model. We show that for a network of active components the transition is between the quantum and the classical behaviour of the network, and the critical amplification coincides with the fundamental quantum cloning limit.
[ { "version": "v1", "created": "Mon, 9 Feb 1998 14:23:42 GMT" }, { "version": "v2", "created": "Thu, 26 Feb 1998 15:14:46 GMT" } ]
2009-10-31T00:00:00
[ [ "Torma", "Paivi", "" ] ]
quant-ph/9802025
Dominic Mayers
Dominic Mayers
Unconditional security in Quantum Cryptography
Version 5: This is an improved version of the paper that was published in JACM. Previous version: Revtex 18 pages. An appendix which summarizes the notations was added. As in the previous version, the proof uses the POVM model to prove the security of quantum key distribution against all attacks. The proof assumes a noisy channel and an imperfect measuring apparatus
JACM, vol 48, no 3, May 2001, p 351-406
null
null
quant-ph
null
Basic techniques to prove the unconditional security of quantum cryptography are described. They are applied to a quantum key distribution protocol proposed by Bennett and Brassard in 1984. The proof considers a practical variation on the protocol in which the channel is noisy and photons may be lost during the transmission. The initial coding into the channel must be perfect (i.e., exactly as described in the protocol). No restriction is imposed on the detector used at the receiving side of the channel, except that whether or not the received system is detected must be independent of the basis used to measure this system.
[ { "version": "v1", "created": "Tue, 10 Feb 1998 22:11:06 GMT" }, { "version": "v2", "created": "Wed, 11 Feb 1998 02:05:47 GMT" }, { "version": "v3", "created": "Thu, 9 Apr 1998 22:35:25 GMT" }, { "version": "v4", "created": "Tue, 15 Sep 1998 02:59:15 GMT" }, { "version": "v5", "created": "Wed, 29 Sep 2004 01:44:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Mayers", "Dominic", "" ] ]
quant-ph/9802026
Comman area for Thpd
Arun Kumar Pati
Uncertainty, non-locality and Bell's inequality
12 pages, Latex, no figures, Talk presented in International Symposium on ``Uncertain Reality''held at New Delhi, 5-9th Jan. 1998
null
null
null
quant-ph
null
We derive a Bell-like inequality involving all correlations in local observables with uncertainty free states and show that the inequality is violated in quantum mechanics for EPR and GHZ states. If the uncertainties are allowed in local observables then the statistical predictions of hidden variable theory is well respected in quantum world. We argue that the uncertainties play a key role in understanding the non-locality issues in quantum world. Thus we can not rule out the possibility that a local, realistic hidden variable theory with statistical uncertainties in the observables might reproduce all the results of quantum theory.
[ { "version": "v1", "created": "Wed, 11 Feb 1998 04:24:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Pati", "Arun Kumar", "" ] ]
quant-ph/9802027
Dominique Delande
Dominique Delande and Jakub Zakrzewski
Spontaneous emission of non-dispersive Rydberg wave packets
14 pages, 4 figures
null
10.1103/PhysRevA.58.466
null
quant-ph
null
Non dispersive electronic Rydberg wave packets may be created in atoms illuminated by a microwave field of circular polarization. We discuss the spontaneous emission from such states and show that the elastic incoherent component (occuring at the frequency of the driving field) dominates the spectrum in the semiclassical limit, contrary to earlier predictions. We calculate the frequencies of single photon emissions and the associated rates in the "harmonic approximation", i.e. when the wave packet has approximately a Gaussian shape. The results agree well with exact quantum mechanical calculations, which validates the analytical approach.
[ { "version": "v1", "created": "Wed, 11 Feb 1998 15:51:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Delande", "Dominique", "" ], [ "Zakrzewski", "Jakub", "" ] ]
quant-ph/9802028
Alexander Y. Vlasov
Alexander Yu. Vlasov (FCR/IRH, St.-Petersburg, Russia)
Analogue Quantum Computers for Data Analysis
7 pages, standard article LaTeX2e document class
null
null
QCY-VAY12-291297
quant-ph cs.CV
null
Analogue computers use continuous properties of physical system for modeling. In the paper is described possibility of modeling by analogue quantum computers for some model of data analysis. It is analogue associative memory and a formal neural network. A particularity of the models is combination of continuous internal processes with discrete set of output states. The modeling of the system by classical analogue computers was offered long times ago, but now it is not very effectively in comparison with modern digital computers. The application of quantum analogue modelling looks quite possible for modern level of technology and it may be more effective than digital one, because number of element may be about Avogadro number (N=6.0E23).
[ { "version": "v1", "created": "Wed, 11 Feb 1998 16:25:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Vlasov", "Alexander Yu.", "", "FCR/IRH, St.-Petersburg, Russia" ] ]
quant-ph/9802029
Suncp
C.P Sun, H.Zhan, X.F, Liu
On decoherence in quantum algorithm via dynamic models for quantum measurement
12 pages, Revtex
null
null
AMO98-2, ITP-AC
quant-ph
null
The possible effect of environment on the efficiency of a quantum algorithm is considered explicitely. It is illustrated through the example of Shor's prime factorization algorithm that this effect may be disastrous. The influence of environment on quantum computation is probed on the basis of its analogy to the problem of wave function collapse in quantum measurement.Techniques from the Hepp-Colemen approach and its generalization are used to deal with decoherence problems in quantum computation including dynamic mechanism of decoherence, quantum error avoiding tricks and calculation of decoherence time.
[ { "version": "v1", "created": "Wed, 11 Feb 1998 16:34:05 GMT" }, { "version": "v2", "created": "Thu, 19 Feb 1998 11:38:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Sun", "C. P", "" ], [ "Zhan", "H.", "" ], [ "F", "X.", "" ], [ "Liu", "", "" ] ]
quant-ph/9802030
Grosa
V. I. Man'ko, L. Rosa, and P. Vitale
Time-Dependent Invariants and Green's Functions in the Probability Representation of Quantum Mechanics
29 pages, RevTex, 6 eps-figures, to appear on Phys. Rev. A
Phys.Rev. A57 (1998) 3291
10.1103/PhysRevA.57.3291
Napoli Preprint DSF-57/97
quant-ph hep-th
null
In the probability representation of quantum mechanics, quantum states are represented by a classical probability distribution, the marginal distribution function (MDF), whose time dependence is governed by a classical evolution equation. We find and explicitly solve, for a wide class of Hamiltonians, new equations for the Green's function of such an equation, the so-called classical propagator. We elucidate the connection of the classical propagator to the quantum propagator for the density matrix and to the Green's function of the Schr\"odinger equation. Within the new description of quantum mechanics we give a definition of coherence solely in terms of properties of the MDF and we test the new definition recovering well known results. As an application, the forced parametric oscillator is considered . Its classical and quantum propagator are found, together with the MDF for coherent and Fock states.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 09:31:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Man'ko", "V. I.", "" ], [ "Rosa", "L.", "" ], [ "Vitale", "P.", "" ] ]
quant-ph/9802031
Frank Antonsen
Frank Antonsen
Zeta-Functions and Star-Products
LaTeX2e with 2 Postscript figures
null
null
null
quant-ph hep-th math-ph math.MP
null
We use the definition of a star (or Moyal or twisted) product to give a phasespace definition of the $\zeta$-function. This allows us to derive new closed expressions for the coefficients of the heat kernel in an asymptotic expansion for operators of the form $\alpha p^2+v(q)$. For the particular case of the harmonic oscillator we furthermore find a closed form for the Green's function. We also find a relationship between star exponentials, path integrals and Wigner functions, which in a simple example gives a relation between the star exponential of the Chern-Simons action and knot invariants.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 10:03:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Antonsen", "Frank", "" ] ]
quant-ph/9802032
Antoine Suarez
Antoine Suarez (Center for Quantum Philosophy, Zurich)
Quantum mechanical retrocausation? Call for nonlocal causal models!
6 pages Latex, 1 eps figure
null
null
null
quant-ph
null
A new possible version of multisimultaneous causality is proposed, and real experiments allowing us to decide between this view and quantum mechanical retrocausation are further discussed. The interest of testing quantum mechanics against as many nonlocal causal models as possible is stressed.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 10:46:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Suarez", "Antoine", "", "Center for Quantum Philosophy, Zurich" ] ]
quant-ph/9802033
David Vitali
David Vitali and Paolo Tombesi
Decoherence Control for Optical Qubits
To be presented at 1st NASA Conf. on Quantum Computation. 12 pages, uses llncs.sty, 2 figures
Lect.Notes Comput.Sci. 1509 (1999) 402-412
null
DMF-08
quant-ph
null
Photons in cavities have been already used for the realization of simple quantum gates [Q.A. Turchette, Phys. Rev. Lett. 75,4710 (1995)]. We present a method for combatting decoherence in this case.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 13:43:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Vitali", "David", "" ], [ "Tombesi", "Paolo", "" ] ]
quant-ph/9802034
null
Stefano Mancini, David Vitali and Paolo Tombesi (Dip. Matematica e Fisica, Univ. Camerino, Italy)
Optomechanical Cooling of a Macroscopic Oscillator by Homodyne Feedback
9 pages, RevTeX, Figures available from authors, to appear in Phys. Rev. Lett
Phys.Rev.Lett. 80 (1998) 688
10.1103/PhysRevLett.80.688
null
quant-ph
null
We propose a simple optomechanical model in which a mechanical oscillator quadrature could be "cooled" well below its equilibrium temperature by applying a suitable feedback to drive the orthogonal quadrature by means of the homodyne current of the radiation field used to probe its position.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 16:33:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Mancini", "Stefano", "", "Dip. Matematica e\n Fisica, Univ. Camerino, Italy" ], [ "Vitali", "David", "", "Dip. Matematica e\n Fisica, Univ. Camerino, Italy" ], [ "Tombesi", "Paolo", "", "Dip. Matematica e\n Fisica, Univ. Camerino, Italy" ] ]
quant-ph/9802035
Lov K. Grover
Lov K. Grover (Bell Labs, Murray Hill, NJ)
Quantum search on structured problems
To be presented at the 1st NASA QCQC conference in Palm Springs, California, Feb. 17-20, '98. 12 pages, postscript
null
10.1016/S0960-0779(98)00217-3
null
quant-ph
null
This paper shows how a basic property of unitary transformations can be used for meaningful computations. This approach immediately leads to search-type applications, where it improves the number of steps by a square-root - a simple minded search that takes N steps, can be improved to O(sqrt(N)) steps. The quantum search algorithm is one of several immediate consequences of this framework. Several novel search-related applications are presented.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 17:04:28 GMT" } ]
2015-06-26T00:00:00
[ [ "Grover", "Lov K.", "", "Bell Labs, Murray Hill, NJ" ] ]
quant-ph/9802036
Tal Mor
Tal Mor
No-cloning of Orthogonal States in Composite Systems
4 pages, RevTeX, to be published in PRL
Phys.Rev.Lett.80:3137-3140,1998
10.1103/PhysRevLett.80.3137
null
quant-ph
null
The no-cloning principle tells us that non-orthogonal quantum states cannot be cloned, but it does not tell us that orthogonal states can always be cloned. We suggest a situation where the cloning transformations are restricted, leading to a novel type of no-cloning principle. In the case of a composite system made of two subsystems: if the subsystems are only available one after the other then there are various cases when orthogonal states cannot be cloned. Surprising examples are given, which give a radically better insight regarding the basic concepts of quantum cryptography.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 19:30:19 GMT" } ]
2009-01-23T00:00:00
[ [ "Mor", "Tal", "" ] ]
quant-ph/9802037
Emanuel Knill
E. Knill, R. Laflamme
On the Power of One Bit of Quantum Information
5 pages
Phys.Rev.Lett.81:5672-5675,1998
10.1103/PhysRevLett.81.5672
null
quant-ph
null
In standard quantum computation, the initial state is pure and the answer is determined by making a measurement of some of the bits in the computational basis. What can be accomplished if the initial state is a highly mixed state and the answer is determined by measuring the expectation of $\sigma_z$ on the first bit with bounded sensitivity? This is the situation in high temperature ensemble quantum computation. We show that in this model it is possible to perform interesting physics simulations which have no known efficient classical algorithms, even though the model is less powerful then standard quantum computing in the presence of oracles.
[ { "version": "v1", "created": "Thu, 12 Feb 1998 21:25:08 GMT" } ]
2009-01-23T00:00:00
[ [ "Knill", "E.", "" ], [ "Laflamme", "R.", "" ] ]
quant-ph/9802038
Robert Clifton
Jason Zimba (Dept. of Physics, UC Berkeley) and Rob Clifton (Dept. of Philosophy, Univ. of Pittsburgh)
Valuations on Functionally Closed Sets of Quantum Mechanical Observables and Von Neumann's 'No-Hidden-Variables' Theorem
39 Pages, AMS-LaTeX, To Appear in Dennis Dieks and Pieter Vermaas (eds.), The Modal Interpretation of Quantum Mechanics, University of Western Ontario Series in Philosophy of Science, Kluwer Academic Publishers, 1998
null
null
null
quant-ph
null
We apply the machinery of projection lattices and von Neumann algebras to analyze the question of how modal interpretations can (and do) circumvent von Neumann's infamous 'no-hidden-variables' theorem.
[ { "version": "v1", "created": "Fri, 13 Feb 1998 05:21:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Zimba", "Jason", "", "Dept. of Physics, UC Berkeley" ], [ "Clifton", "Rob", "", "Dept. of\n Philosophy, Univ. of Pittsburgh" ] ]
quant-ph/9802039
Masanao Ozawa
Masanao Ozawa (Nagoya University)
Operational Characterization of Simultaneous Measurements in Quantum Mechanics
9 pages, REVTeX
Phys.Lett. A275 (2000) 5-11
10.1016/S0375-9601(00)00489-8
null
quant-ph
null
Quantum mechanics predicts the joint probability distribution of the outcomes of simultaneous measurements of commuting observables, but, in the state of the art, has lacked the operational definition of simultaneous measurements. The question is answered as to when the consecutive applications of measuring apparatuses give a simultaneous measurement of their observables. For this purpose, all the possible state reductions caused by measurements of an observable is also characterized by their operations.
[ { "version": "v1", "created": "Fri, 13 Feb 1998 08:59:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Ozawa", "Masanao", "", "Nagoya University" ] ]
quant-ph/9802040
Richard Cleve
Harry Buhrman (CWI, Amsterdam), Richard Cleve (U of Calgary), Avi Wigderson (Hebrew U)
Quantum vs. Classical Communication and Computation
6 pages, LaTeX w/ ACMconf style, no figures, made changes in notation in order to be consistent with other papers. To appear in Proceedings of the 30th Annual ACM Symposium on Theory of Computing (ACM Press)
null
null
null
quant-ph
null
We present a simple and general simulation technique that transforms any black-box quantum algorithm (a la Grover's database search algorithm) to a quantum communication protocol for a related problem, in a way that fully exploits the quantum parallelism. This allows us to obtain new positive and negative results. The positive results are novel quantum communication protocols that are built from nontrivial quantum algorithms via this simulation. These protocols, combined with (old and new) classical lower bounds, are shown to provide the first asymptotic separation results between the quantum and classical (probabilistic) two-party communication complexity models. In particular, we obtain a quadratic separation for the bounded-error model, and an exponential separation for the zero-error model. The negative results transform known quantum communication lower bounds to computational lower bounds in the black-box model. In particular, we show that the quadratic speed-up achieved by Grover for the OR function is impossible for the PARITY function or the MAJORITY function in the bounded-error model, nor is it possible for the OR function itself in the exact case. This dichotomy naturally suggests a study of bounded-depth predicates (i.e. those in the polynomial hierarchy) between OR and MAJORITY. We present black-box algorithms that achieve near quadratic speed up for all such predicates.
[ { "version": "v1", "created": "Sat, 14 Feb 1998 20:05:21 GMT" }, { "version": "v2", "created": "Thu, 12 Mar 1998 02:42:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Buhrman", "Harry", "", "CWI, Amsterdam" ], [ "Cleve", "Richard", "", "U of Calgary" ], [ "Wigderson", "Avi", "", "Hebrew U" ] ]
quant-ph/9802041
Miroljub Dugic
M. Dugic
On the necessary conditions for the occurrence of the "environment-induced superselection rules"
Plain TeX, 5 pages
null
null
PMF KG-7
quant-ph
null
We briefly summarize the main recently obtained results concerning existence of the (effective) necessary conditions for the occurrence of the "environment-induced superselection rules" (decoherence).
[ { "version": "v1", "created": "Sun, 15 Feb 1998 10:57:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Dugic", "M.", "" ] ]
quant-ph/9802042
Lev Vaidman
L. Vaidman
Time-Symmetrized Counterfactuals in Quantum Theory
Submitted to PSA98
null
null
null
quant-ph
null
Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is considered and a novel time-symmetric definition of quantum counterfactuals is proposed. This definition is applied for analyzing several controversies related to quantum counterfactuals.
[ { "version": "v1", "created": "Sun, 15 Feb 1998 17:48:05 GMT" }, { "version": "v2", "created": "Thu, 19 Feb 1998 13:45:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Vaidman", "L.", "" ] ]
quant-ph/9802043
Tad Hogg
Tad Hogg and Mehmet Yanik
Local Search Methods for Quantum Computers
28 pages, 6 figures, for related papers see http://www.parc.xerox.com/dynamics/www/quantum.html
null
null
null
quant-ph
null
Local search algorithms use the neighborhood relations among search states and often perform well for a variety of NP-hard combinatorial search problems. This paper shows how quantum computers can also use these neighborhood relations. An example of such a local quantum search is evaluated empirically for the satisfiability (SAT) problem and shown to be particularly effective for highly constrained instances. For problems with an intermediate number of constraints, it is somewhat less effective at exploiting problem structure than incremental quantum methods, in spite of the much smaller search space used by the local method.
[ { "version": "v1", "created": "Mon, 16 Feb 1998 18:34:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Hogg", "Tad", "" ], [ "Yanik", "Mehmet", "" ] ]
quant-ph/9802044
Gh.-S. Paraoanu
Gh.-S. Paraoanu, H. Scutaru
Classical states via decoherence
6 pages, LaTeX
Phys.Lett. A238 (1998) 219
10.1016/S0375-9601(97)00925-0
null
quant-ph
null
The initial states which minimize the predictability loss for a damped harmonic oscillator are identified as quasi-free states with a symmetry dictated by the environment's diffusion coefficients. For an isotropic diffusion in phase space, coherent states (or mixtures of coherent states) are selected as the most stable ones.
[ { "version": "v1", "created": "Mon, 16 Feb 1998 21:36:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Paraoanu", "Gh. -S.", "" ], [ "Scutaru", "H.", "" ] ]
quant-ph/9802045
Michael Sipser
E. Farhi (MIT), J. Goldstone (MIT), S. Gutmann (Northeastern), M. Sipser (MIT)
A Limit on the Speed of Quantum Computation in Determining Parity
9 pages, latex
Phys.Rev.Lett.81:5442-5444,1998
10.1103/PhysRevLett.81.5442
MIT-CTP-2716
quant-ph
null
Consider a function f which is defined on the integers from 1 to N and takes the values -1 and +1. The parity of f is the product over all x from 1 to N of f(x). With no further information about f, to classically determine the parity of f requires N calls of the function f. We show that any quantum algorithm capable of determining the parity of f contains at least N/2 applications of the unitary operator which evaluates f. Thus for this problem, quantum computers cannot outperform classical computers.
[ { "version": "v1", "created": "Mon, 16 Feb 1998 23:25:19 GMT" }, { "version": "v2", "created": "Thu, 8 Oct 1998 21:20:54 GMT" } ]
2009-01-23T00:00:00
[ [ "Farhi", "E.", "", "MIT" ], [ "Goldstone", "J.", "", "MIT" ], [ "Gutmann", "S.", "", "Northeastern" ], [ "Sipser", "M.", "", "MIT" ] ]
quant-ph/9802046
Suarez
Bernard d'Espagnat (Laboratory of Theoretical Physics and High Energies, Paris)
Quantum Theory : A Pointer To An Independent Reality
17 pages Latex, minor changes in Version 2. This article presents d'Espagnat's conception of "Veiled Reality". It incorporates also a comment to a contribution in the book edited by A. Driessen and A. Suarez: "Mathematical Undecidability, Quantum Nonlocality, and the Question of the Existence of God", Kluwer Academic Publishers, Dordrecht, The Netherlands, 1997. The submission is made in agreement with Bernard d'Espagnat
null
null
null
quant-ph
null
While philosophy of science is the study of problems of knowledge concerning science in general, there also exists - or should exist - a '' philosophy in science'' directed at finding out in what ways our actual scientific knowledge may validly contribute to the basic philosophical quest. Contrary to philosophy of science, which is a subject for philosophers, philosophy in science calls on the services of physicists. When, in its spirit, quantum theory and Bell's theorem are used as touchstones, the two main traditional philosophical approaches, realism and idealism, are found wanting. A more suitable conception seems to be an intermediate one, in which the mere postulated existence of a holistic and hardly knowable Mind-Independent Reality is found to have an explaining power. Some corrections to comments by Schins of a previous work on the same subject are incorporated.
[ { "version": "v1", "created": "Tue, 17 Feb 1998 06:56:59 GMT" }, { "version": "v2", "created": "Sun, 10 May 1998 14:28:20 GMT" } ]
2007-05-23T00:00:00
[ [ "d'Espagnat", "Bernard", "", "Laboratory of Theoretical Physics and High\n Energies, Paris" ] ]
quant-ph/9802047
Gonzalo Garcia de Polavieja
Gonzalo Garcia de Polavieja
Quantum state sensitivity to initial conditions
1 .tex file and 2 .ps figures. Physical Review A (to appear 1 May)
null
null
null
quant-ph
null
The different time-dependent distances of two arbitrarily close quantum or classical-statistical states to a third fixed state are shown to imply an experimentally relevant notion of state sensitivity to initial conditions. A quantitative classification scheme of quantum states by their sensitivity and instability in state space is given that reduces to the one performed by classical-mechanical Lyapunov exponents in the classical limit
[ { "version": "v1", "created": "Tue, 17 Feb 1998 09:51:25 GMT" } ]
2007-05-23T00:00:00
[ [ "de Polavieja", "Gonzalo Garcia", "" ] ]
quant-ph/9802048
C. H. Oh
Xiang-Bin Wang, C.H. Oh and L.C. Kwek
General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space
To appear in J. Phys. A: Mathematics and General
J.Phys.A31:4329-4336,1998
10.1088/0305-4470/31/18/020
null
quant-ph physics.comp-ph physics.optics
null
In a recent paper [Nieto M M 1996 Quantum and Semiclassical Optics, 8 1061; quant-ph/9605032], the one dimensional squeezed and harmonic oscillator time-displacement operators were reordered in coordinate-momentum space. In this paper, we give a general approach for reordering multi-dimensional exponential quadratic operator(EQO) in coordinate-momentum space. An explicit computational formula is provided and applied to the single mode and double-mode EQO through the squeezed operator and the time displacement operator of the harmonic oscillator.
[ { "version": "v1", "created": "Wed, 18 Feb 1998 03:05:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Wang", "Xiang-Bin", "" ], [ "Oh", "C. H.", "" ], [ "Kwek", "L. C.", "" ] ]
quant-ph/9802049
Ronald de Wolf
Robert Beals (U of Arizona), Harry Buhrman (CWI), Richard Cleve (U of Calgary), Michele Mosca (U of Oxford), Ronald de Wolf (CWI and U of Amsterdam)
Quantum Lower Bounds by Polynomials
10 pages, LaTeX, no figures, final version to appear in FOCS'98
null
null
null
quant-ph cs.CC
null
We examine the number T of queries that a quantum network requires to compute several Boolean functions on {0,1}^N in the black-box model. We show that, in the black-box model, the exponential quantum speed-up obtained for partial functions (i.e. problems involving a promise on the input) by Deutsch and Jozsa and by Simon cannot be obtained for any total function: if a quantum algorithm computes some total Boolean function f with bounded-error using T black-box queries then there is a classical deterministic algorithm that computes f exactly with O(T^6) queries. We also give asymptotically tight characterizations of T for all symmetric f in the exact, zero-error, and bounded-error settings. Finally, we give new precise bounds for AND, OR, and PARITY. Our results are a quantum extension of the so-called polynomial method, which has been successfully applied in classical complexity theory, and also a quantum extension of results by Nisan about a polynomial relationship between randomized and deterministic decision tree complexity.
[ { "version": "v1", "created": "Wed, 18 Feb 1998 17:41:12 GMT" }, { "version": "v2", "created": "Thu, 19 Feb 1998 16:02:23 GMT" }, { "version": "v3", "created": "Wed, 30 Sep 1998 08:07:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Beals", "Robert", "", "U of Arizona" ], [ "Buhrman", "Harry", "", "CWI" ], [ "Cleve", "Richard", "", "U of\n Calgary" ], [ "Mosca", "Michele", "", "U of Oxford" ], [ "de Wolf", "Ronald", "", "CWI and U of\n Amsterdam" ] ]
quant-ph/9802050
A. Khare
Avinash Khare and Uday P. Sukhatme
Exact Solution of a Class of Three-Body Scattering Problems in One dimension
Latex file, no figures, To be Published in Phys. Lett. A
Phys.Lett. A241 (1998) 14-18
10.1016/S0375-9601(98)00090-5
UICHEP-TH/97-11; IOP-BBSR/97-38
quant-ph
null
We present an exact solution of the three-body scattering problem for a one parameter family of one dimensional potentials containing the Calogero and Wolfes potentials as special limiting cases. The result is an interesting nontrivial relationship between the final momenta $p'_i$ and the initial momenta $p_i$ of the three particles. We also discuss another one parameter family of potentials for all of which $p'_i=-p_i~(i=1,2,3)$.
[ { "version": "v1", "created": "Thu, 19 Feb 1998 04:41:13 GMT" } ]
2009-10-31T00:00:00
[ [ "Khare", "Avinash", "" ], [ "Sukhatme", "Uday P.", "" ] ]
quant-ph/9802051
M. Czachor
Marek Czachor
Notes on nonlinear quantum algorithms
one 1/4 changed to 1/2, conclusions unchanged
Acta Phys.Slov. 48 (1998) 157
null
null
quant-ph
null
Recenty Abrams and Lloyd have proposed a fast algorithm that is based on a nonlinear evolution of a state of a quantum computer. They have explicitly used the fact that nonlinear evolutions in Hilbert spaces do not conserve scalar products of states, and applied a description of separated systems taken from Weinberg's nonlinear quantum mechanics. On the other hand it is known that violation of orthogonality combined with the Weinberg-type description generates unphysical, arbitrarily fast influences between noninteracting systems. It was not therefore clear whether the algorithm is fast because arbitrarily fast unphysical effects are involved. In these notes I show that this is not the case. I analyze both algorithms proposed by Abrams and Lloyd on concrete, simple models of nonlinear evolution. The description I choose is known to be free of the unphysical influences (therefore it is not the Weinberg one). I show, in particular, that the correct local formalism allows even to simplify the algorithm.
[ { "version": "v1", "created": "Thu, 19 Feb 1998 19:40:10 GMT" }, { "version": "v2", "created": "Mon, 23 Feb 1998 17:49:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Czachor", "Marek", "" ] ]
quant-ph/9802052
Michael J. W. Hall
Michael J. W. Hall
Random quantum correlations and density operator distributions
13 pages, no figures; a new page of additional notes at end draws attention to 3 new references and their relevance
Phys.Lett. A242 (1998) 123-129
10.1016/S0375-9601(98)00190-X
ANU-97-21.10
quant-ph
null
Consider the question: what statistical ensemble corresponds to minimal prior knowledge about a quantum system ? For the case where the system is in fact known to be in a pure state there is an obvious answer, corresponding to the unique unitarily-invariant measure on the Hilbert sphere. However, the problem is open for the general case where states are described by density operators. Here two approaches to the problem are investigated. The first approach assumes that the system is randomly correlated with a second system, where the ensemble of composite systems is described by a random pure state. Results for qubits randomly correlated with other systems are presented, including average entanglement entropies. It is shown that maximum correlation is guaranteed in the limit as one system becomes infinite-dimensional. The second approach relies on choosing a metric on the space of density operators, and generating a corresponding ensemble from the induced volume element. Comparisons between the approaches are made for qubits, for which the second approach (based on the Bures metric) yields the most symmetric, and hence the least informative, ensemble of density operators.
[ { "version": "v1", "created": "Thu, 19 Feb 1998 15:28:59 GMT" }, { "version": "v2", "created": "Fri, 24 Jul 1998 10:51:50 GMT" } ]
2009-10-31T00:00:00
[ [ "Hall", "Michael J. W.", "" ] ]
quant-ph/9802053
Robert W. Spekkens
R. W. Spekkens and J. E. Sipe
Some remarks on the fragmentation of Bose condensates
4 pages, REVTEX, to be published in the proceedings of the Fundamental Problems in Quantum Theory Workshop, University of Maryland Baltimore County, August 4-7, 1997
Prog. Phys. 46, 873 (1998)
10.1002/(SICI)1521-3978(199811)46:6/8<873::AID-PROP873>3.0.CO;2-Q
null
quant-ph
null
We show how fragmentation of a Bose-Einstein condensate can occur given repulsive inter-particle interactions and a non-uniform external potential.
[ { "version": "v1", "created": "Thu, 19 Feb 1998 19:53:26 GMT" } ]
2015-06-26T00:00:00
[ [ "Spekkens", "R. W.", "" ], [ "Sipe", "J. E.", "" ] ]
quant-ph/9802054
Raymond Laflamme
Wojciech H. Zurek
Decoherence, chaos, quantum-classical correspondence, and the algorithmic arrow of time
26 pages in Tex, 3 figures
Phys.Scripta T76:186-198,1998
10.1238/Physica.Topical.076a00186
null
quant-ph
null
The environment -- external or internal degrees of freedom coupled to the system -- can, in effect, monitor some of its observables. As a result, the eigenstates of these observables decohere and behave like classical states: Continuous destruction of superpositions leads to environment-induced superselection (einselection). Here I investigate it in the context of quantum chaos (i. e., quantum dynamics of systems which are classically chaotic).
[ { "version": "v1", "created": "Fri, 20 Feb 1998 00:46:03 GMT" } ]
2011-08-04T00:00:00
[ [ "Zurek", "Wojciech H.", "" ] ]
quant-ph/9802055
G. A. Koganov
Gennady A. Koganov and Reuben Shuker
Threshold and non-linear behavior of lasers of $\Lambda$ and V - configurations
9 pages, 5 figures
null
10.1103/PhysRevA.58.1559
BGU-qo-98/2
quant-ph
null
Dynamic properties of closed three level laser systems are investigated. Two schemes of pumping - $\Lambda$ and V - are considered. It is shown that the non-linear behavior of the photon number as a function of pump both near and far above threshold is crucially different for these two configurations. In particular, it is found that in the high pump regime laser can turn off in a phase-transition-like manner in both $\Lambda$ and V schemes.
[ { "version": "v1", "created": "Fri, 20 Feb 1998 13:25:14 GMT" }, { "version": "v2", "created": "Thu, 19 Mar 1998 17:43:13 GMT" } ]
2009-10-31T00:00:00
[ [ "Koganov", "Gennady A.", "" ], [ "Shuker", "Reuben", "" ] ]
quant-ph/9802056
Allan Widom
A. Widom, Y. N. Srivastava, E. Sassaroli
Acuasal Behavior in Quantum Electrodynamics
LaTeX 13 Pages, Presented at the International Conference on Macroscopic Quantum Coherence, July 1997, Northeastern University, Boston
null
null
MQC-0030
quant-ph
null
Acausal features of quantum electrodynamic processes are discussed. While these processes are not present for the classical electrodynamic theory, in the quantum electrodynamic theory, acausal processes are well known to exist. For example, any Feynman diagram with a ``loop'' in space-time describes a ``particle'' which may move forward in time or backward in time or in space-like directions. The engineering problems involved in experimentally testing such causality violations on a macroscopic scale are explored.
[ { "version": "v1", "created": "Sun, 22 Feb 1998 21:57:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Widom", "A.", "" ], [ "Srivastava", "Y. N.", "" ], [ "Sassaroli", "E.", "" ] ]
quant-ph/9802057
Safonov S. S.
S. S. Safonov (Moscow Institute of Physics and Technology)
Caldirola-Kanai Oscillator in Classical Formulation of Quantum Mechanics
LaTeX, 5 pages, 1 Postscript figure, Contribution to the VIII International Conference on Symmetry Methods in Physics, Dubna 1997, to be published in the Proceedings of the Conference
Phys.Atom.Nucl.63:692-694,2000; Yad.Fiz.63:757-759,2000
10.1134/1.855692
null
quant-ph
null
The quadrature distribution for the quantum damped oscillator is introduced in the framework of the formulation of quantum mechanics based on the tomography scheme. The probability distribution for the coherent and Fock states of the damped oscillator is expressed explicitly in terms of Gaussian and Hermite polynomials, correspondingly.
[ { "version": "v1", "created": "Mon, 23 Feb 1998 08:00:31 GMT" } ]
2011-04-15T00:00:00
[ [ "Safonov", "S. S.", "", "Moscow Institute of Physics and Technology" ] ]
quant-ph/9802058
Andrew Steane
D. Stevens, J. Brochard and A. M. Steane (Clarendon Laboratory, Oxford University)
Simple experimental methods for trapped ion quantum processors
13 pages LaTeX plus 6 PostScript figures. Submitted to Physical Review A
null
10.1103/PhysRevA.58.2750
null
quant-ph
null
Two techniques are described that simplify the experimental requirements for measuring and manipulating quantum information stored in trapped ions. The first is a new technique using electron shelving to measure the populations of the Zeeman sublevels of the ground state, in an ion for which no cycling transition exists from any of these sublevels. The second technique is laser cooling to the vibrational ground state, without the need for a trap operating in the Lamb-Dicke limit. This requires sideband cooling in a sub-recoil regime. We present a thorough analysis of sideband cooling on one or a pair of sidebands simultaneously.
[ { "version": "v1", "created": "Mon, 23 Feb 1998 15:27:27 GMT" } ]
2009-10-31T00:00:00
[ [ "Stevens", "D.", "", "Clarendon Laboratory, Oxford\n University" ], [ "Brochard", "J.", "", "Clarendon Laboratory, Oxford\n University" ], [ "Steane", "A. M.", "", "Clarendon Laboratory, Oxford\n University" ] ]
quant-ph/9802059
M. Czachor
Marek Czachor and Li You
Spatially sequential turn-on of spontaneous emission from an atomic wave packet
to be published in Int.J.Theor.Phys.; revtex, 3 ps figures
Int.J.Theor.Phys. 38 (1999) 277-288
null
null
quant-ph
null
We discuss a simple example demonstrating that spontaneous emission from "space-time-superposed" atomic center-of-mass wave packets is nontrivially and time-dependent modified with respect to the standard dipole-pattern typical of "space-superposed" wave packets. Our approach provides an approximate description of a nonsimultaneous interaction of electromagnetic field with different parts of a wave packet.
[ { "version": "v1", "created": "Mon, 23 Feb 1998 18:28:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Czachor", "Marek", "" ], [ "You", "Li", "" ] ]
quant-ph/9802060
Klaus Gheri
K.M. Gheri, C. Saavedra, P. Toermae, J. I. Cirac, and P. Zoller
Entanglement engineering of one-photon wavepackets using a single-atom source
4 pages, 2 figures
null
10.1103/PhysRevA.58.R2627
null
quant-ph
null
We propose a cavity-QED scheme for the controlled generation of sequences of entangled single-photon wavepackets. A photon is created inside a cavity via an active medium, such as an atom, and decays into the continuum of radiation modes outside the cavity(coupled, for example to an optical fiber). Subsequent wavepackets generated in this way behave as independent logical qubits. This and the possibility of producing maximally entangled multi-qubit states suggest many applications in quantum communication.
[ { "version": "v1", "created": "Tue, 24 Feb 1998 09:42:43 GMT" }, { "version": "v2", "created": "Wed, 25 Feb 1998 08:27:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Gheri", "K. M.", "" ], [ "Saavedra", "C.", "" ], [ "Toermae", "P.", "" ], [ "Cirac", "J. I.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/9802061
Andrew Steane
Andrew M. Steane (Clarendon Laboratory, Oxford University)
Enlargement of Calderbank Shor Steane quantum codes
12 pages. Submitted to IEEE Trans. Inf. Theory. Mistake in proof corrected
IEEE Trans.Info.Theor. 45 (1999) 2492-2495
null
null
quant-ph
null
It is shown that a classical error correcting code C = [n,k,d] which contains its dual, C^{\perp} \subseteq C, and which can be enlarged to C' = [n,k' > k+1, d'], can be converted into a quantum code of parameters [[ n, k+k' - n, min(d, 3d'/2) ]]. This is a generalisation of a previous construction, it enables many new codes of good efficiency to be discovered. Examples based on classical Bose Chaudhuri Hocquenghem (BCH) codes are discussed.
[ { "version": "v1", "created": "Tue, 24 Feb 1998 15:44:11 GMT" }, { "version": "v2", "created": "Tue, 31 Mar 1998 15:01:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Steane", "Andrew M.", "", "Clarendon Laboratory, Oxford University" ] ]
quant-ph/9802062
Andris Ambainis
A. Ambainis, R. Freivalds
1-way quantum finite automata: strengths, weaknesses and generalizations
23 pages LaTeX, 1 figure, to appear at FOCS'98
null
null
null
quant-ph cs.CC
null
We study 1-way quantum finite automata (QFAs). First, we compare them with their classical counterparts. We show that, if an automaton is required to give the correct answer with a large probability (over 0.98), then the power of 1-way QFAs is equal to the power of 1-way reversible automata. However, quantum automata giving the correct answer with smaller probabilities are more powerful than reversible automata. Second, we show that 1-way QFAs can be very space-efficient. Namely, we construct a 1-way QFA which is exponentially smaller than any equivalent classical (even randomized) finite automaton. This construction may be useful for design of other space-efficient quantum algorithms. Third, we consider several generalizations of 1-way QFAs. Here, our goal is to find a model which is more powerful than 1-way QFAs keeping the quantum part as simple as possible.
[ { "version": "v1", "created": "Wed, 25 Feb 1998 00:34:35 GMT" }, { "version": "v2", "created": "Thu, 7 May 1998 02:03:38 GMT" }, { "version": "v3", "created": "Wed, 30 Sep 1998 00:46:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Ambainis", "A.", "" ], [ "Freivalds", "R.", "" ] ]
quant-ph/9802063
Dr N. Mavromatos
N.E. Mavromatos and D.V. Nanopoulos
Quantum Mechanics in Cell Microtubules: Wild Imagination or Realistic Possibility?
33 pages revtex, axodraw.style. Based on a talk given by N.E.M. at the Workshop `Biophysics of the Cytoskeleton', Banff Conference Center, Canada, August 18-22 1997, to appear in `Advances in Structural Biology'
null
null
OUTP-98-15P, ACT-1/98, CTP-7/98
quant-ph cond-mat
null
We focus on potential mechanisms for `energy-loss-free' transport along the cell microtubules, which could be considered as realizations of Fr\"ohlich's ideas on the role of solitons for superconductivity and/or biological matter. In particular, by representing the MT arrangements as `cavities',we present a novel scenario on the formation of macroscopic (or mesoscopic) quantum-coherent states, as a result of the (quantum-electromagnetic) interactions of the MT dimers with the surrounding molecules of the ordered water in the interior of the MT cylinders. We present some generic order of magnitude estimates of the decoherence time in a typical model for MT dynamics. The role of (conjectured) ferroelectric properties of MT arrangements on the above quantum phenomena is emphasized. Based on these considerations, we also present a conjecture on the role of the MT in `holographic' information processing, which resembles the situation encountered in internal source X-ray holography in atomic physics.
[ { "version": "v1", "created": "Wed, 25 Feb 1998 15:01:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Mavromatos", "N. E.", "" ], [ "Nanopoulos", "D. V.", "" ] ]