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quant-ph/9911016
Marcin Michalski
Marcin Michalski
Faster Than Light Communication
This paper has been withdrawn by the author, due a crucial error in the main idea
null
null
null
quant-ph
null
This paper has been withdrawn by the author, due a crucial error in the main idea.
[ { "version": "v1", "created": "Thu, 4 Nov 1999 23:45:12 GMT" }, { "version": "v2", "created": "Thu, 11 Nov 1999 18:35:20 GMT" }, { "version": "v3", "created": "Tue, 16 Nov 1999 14:22:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Michalski", "Marcin", "" ] ]
quant-ph/9911017
Robert J. C. Spreeuw
R.J.C. Spreeuw, D. Voigt, B.T. Wolschrijn and H.B. van Linden van den Heuvell
Creating a low-dimensional quantum gas using dark states in an inelastic evanescent-wave mirror
8 pages, 4 figures
Phys. Rev. A 61, 053604 (2000)
10.1103/PhysRevA.61.053604
null
quant-ph
null
We discuss an experimental scheme to create a low-dimensional gas of ultracold atoms, based on inelastic bouncing on an evanescent-wave mirror. Close to the turning point of the mirror, the atoms are transferred into an optical dipole trap. This scheme can compress the phase-space density and can ultimately yield an optically-driven atom laser. An important issue is the suppression of photon scattering due to ``cross-talk'' between the mirror potential and the trapping potential. We propose that for alkali atoms the photon scattering rate can be suppressed by several orders of magnitude if the atoms are decoupled from the evanescent-wave light. We discuss how such dark states can be achieved by making use of circularly-polarized evanescent waves.
[ { "version": "v1", "created": "Fri, 5 Nov 1999 11:00:00 GMT" }, { "version": "v2", "created": "Thu, 23 Dec 1999 14:33:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Spreeuw", "R. J. C.", "" ], [ "Voigt", "D.", "" ], [ "Wolschrijn", "B. T.", "" ], [ "Heuvell", "H. B. van Linden van den", "" ] ]
quant-ph/9911018
Jaroslav Rehacek
J. Rehacek, J. Perina, P. Facchi, S. Pascazio, and L. Mista
Quantum Zeno effect in a probed downconversion process
11 pages, 4 figures
Phys. Rev. A 62, 013804 (2000)
10.1103/PhysRevA.62.013804
null
quant-ph
null
The distorsion of a spontaneous downconvertion process caused by an auxiliary mode coupled to the idler wave is analyzed. In general, a strong coupling with the auxiliary mode tends to hinder the downconversion in the nonlinear medium. On the other hand, provided that the evolution is disturbed by the presence of a phase mismatch, the coupling may increase the speed of downconversion. These effects are interpreted as being manifestations of quantum Zeno or anti-Zeno effects, respectively, and they are understood by using the dressed modes picture of the device. The possibility of using the coupling as a nontrivial phase--matching technique is pointed out.
[ { "version": "v1", "created": "Fri, 5 Nov 1999 13:14:04 GMT" }, { "version": "v2", "created": "Sun, 30 Jan 2000 14:08:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Rehacek", "J.", "" ], [ "Perina", "J.", "" ], [ "Facchi", "P.", "" ], [ "Pascazio", "S.", "" ], [ "Mista", "L.", "" ] ]
quant-ph/9911019
Fumiaki Morikoshi
Fumiaki Morikoshi
Recovery of entanglement lost in entanglement manipulation
4 pages, 2 figures, REVTeX; minor corrections
Phys. Rev. Lett. 84, 3189 (2000)
10.1103/PhysRevLett.84.3189
EPHOU-99-013
quant-ph
null
When an entangled state is transformed into another one with probability one by local operations and classical communication, the quantity of entanglement decreases. This letter shows that entanglement lost in the manipulation can be partially recovered by an auxiliary entangled pair. As an application, a maximally entangled pair can be obtained from two partially entangled pairs with probability one. Finally, this recovery scheme reveals a fundamental property of entanglement relevant to the existence of incomparable states.
[ { "version": "v1", "created": "Fri, 5 Nov 1999 16:49:04 GMT" }, { "version": "v2", "created": "Mon, 27 Mar 2000 06:59:53 GMT" } ]
2009-10-31T00:00:00
[ [ "Morikoshi", "Fumiaki", "" ] ]
quant-ph/9911020
Chris Isham
J. Hamilton, C.J. Isham and J. Butterfield
A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category
Latex2e
null
null
Imperial/TP/99-0/5
quant-ph
null
We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory, and of related issues such as the Kochen-Specker theorem. This extension has two main parts: the use of von Neumann algebras as a base category (Section 2); and the relation of our generalized valuations to (i) the assignment to quantities of intervals of real numbers, and (ii) the idea of a subobject of the coarse-graining presheaf (Section 3).
[ { "version": "v1", "created": "Fri, 5 Nov 1999 18:06:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Hamilton", "J.", "" ], [ "Isham", "C. J.", "" ], [ "Butterfield", "J.", "" ] ]
quant-ph/9911021
David Marcus Appleby
D.M. Appleby
Optimal Measurements of Spin Direction
16 pages, AMS-latex. A few typographical errors corrected
Int. J. Theor. Phys. 39, 2231 (2000)
null
QMW-PH-99-18
quant-ph
null
The accuracy of a measurement of the spin direction of a spin-s particle is characterised, for arbitrary half-integral s. The disturbance caused by the measurement is also characterised. The approach is based on that taken in several previous papers concerning joint measurements of position and momentum. As in those papers, a distinction is made between the errors of retrodiction and prediction. Retrodictive and predictive error relationships are derived. The POVM describing the outcome of a maximally accurate measurement process is investigated. It is shown that, if the measurement is retrodictively optimal, then the distribution of measured values is given by the initial state SU(2) Q-function. If the measurement is predictively optimal, then the distribution of measured values is related to the final state SU(2) P-function. The general form of the unitary evolution operator producing an optimal measurement is characterised.
[ { "version": "v1", "created": "Fri, 5 Nov 1999 23:01:49 GMT" }, { "version": "v2", "created": "Sun, 23 Jan 2000 21:07:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Appleby", "D. M.", "" ] ]
quant-ph/9911022
Adan Cabello
Adan Cabello
Kochen-Specker theorem and experimental test on hidden variables
4 pages, 1 figure. To appear in Int. J. Mod. Phys. A
Int. J. Mod. Phys. A 15 (2000) 2813
10.1142/S0217751X00002020
null
quant-ph
null
A recent proposal to experimentally test quantum mechanics against noncontextual hidden-variable theories [Phys. Rev. Lett. 80, 1797 (1998)] is shown to be related with the smallest proof of the Kochen-Specker theorem currently known [Phys. Lett. A 212, 183 (1996)]. This proof contains eighteen yes-no questions about a four-dimensional physical system, combined in nine mutually incompatible tests. When these tests are considered as tests about a two-part two-state system, then quantum mechanics and non-contextual hidden variables make the same predictions for eight of them, but make different predictions for the ninth. Therefore, this ninth test would allow us to discriminate between quantum mechanics and noncontextual hidden-variable theories in a (gedanken) single run experiment.
[ { "version": "v1", "created": "Sat, 6 Nov 1999 15:58:09 GMT" } ]
2016-12-21T00:00:00
[ [ "Cabello", "Adan", "" ] ]
quant-ph/9911023
Adan Cabello
Adan Cabello
Nonlocality without inequalities has not been proved for maximally entangled states
7 pages, 2 figures. To appear in Phys. Rev. A
Phys. Rev. A 61 (2000) 022119
10.1103/PhysRevA.61.022119
null
quant-ph
null
Two approaches to extend Hardy's proof of nonlocality without inequalities to maximally entangled states of bipartite two-level systems are shown to fail. On one hand, it is shown that Wu and co-workers' proof [Phys. Rev. A 53, R1927 (1996)] uses an effective state which is not maximally entangled. On the other hand, it is demonstrated that Hardy's proof cannot be generalized by the replacement of one of the four von Neumann measurements involved in the original proof by a generalized measurement to unambiguously discriminate between non-orthogonal states.
[ { "version": "v1", "created": "Sat, 6 Nov 1999 16:02:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Cabello", "Adan", "" ] ]
quant-ph/9911024
Adan Cabello
Adan Cabello
Comment on "Non-contextual hidden variables and physical measurements"
2 pages
null
null
null
quant-ph
null
Kent's conclusion that ``non-contextual hidden variable theories cannot be excluded by theoretical arguments of the Kochen-Specker type once the imprecision in real world experiments is taken into account'' [Phys. Rev. Lett. 83, 3755 (1999)], is criticized. The Kochen-Specker theorem just points out that it is impossible even conceive a hidden variable model in which the outcomes of all measurements are pre-determined; it does not matter if these measurements are performed or not, or even if these measurements can be achieved only with finite precision.
[ { "version": "v1", "created": "Sat, 6 Nov 1999 16:04:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Cabello", "Adan", "" ] ]
quant-ph/9911025
Adan Cabello
Adan Cabello
Quantum key distribution without alternative measurements
REVTeX, 5 pages, 2 figures. Published version with some comments
Phys. Rev. A 61 (2000) 052312
10.1103/PhysRevA.61.052312
null
quant-ph
null
Entanglement swapping between Einstein-Podolsky-Rosen (EPR) pairs can be used to generate the same sequence of random bits in two remote places. A quantum key distribution protocol based on this idea is described. The scheme exhibits the following features. (a) It does not require that Alice and Bob choose between alternative measurements, therefore improving the rate of generated bits by transmitted qubit. (b) It allows Alice and Bob to generate a key of arbitrary length using a single quantum system (three EPR pairs), instead of a long sequence of them. (c) Detecting Eve requires the comparison of fewer bits. (d) Entanglement is an essential ingredient. The scheme assumes reliable measurements of the Bell operator.
[ { "version": "v1", "created": "Sat, 6 Nov 1999 16:08:40 GMT" }, { "version": "v2", "created": "Tue, 3 Oct 2000 20:18:14 GMT" } ]
2009-10-31T00:00:00
[ [ "Cabello", "Adan", "" ] ]
quant-ph/9911026
Mikhail Sergeenko
U.P. Sukhatme and M.N. Sergeenko
Semiclassical Approximation for Periodic Potentials
8 pages, 1 table
null
null
UICHEP-TH/99-8
quant-ph
null
We derive the semiclassical WKB quantization condition for obtaining the energy band edges of periodic potentials. The derivation is based on an approach which is much simpler than the usual method of interpolating with linear potentials in the regions of the classical turning points. The band structure of several periodic potentials is computed using our semiclassical quantization condition.
[ { "version": "v1", "created": "Sat, 6 Nov 1999 21:35:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Sukhatme", "U. P.", "" ], [ "Sergeenko", "M. N.", "" ] ]
quant-ph/9911027
Dagomir Kaszlikowski
Marek Zukowski, Dagomir Kaszlikowski and Emilio Santos
Irrelevance of photon events distinguishability in a class of Bell experiments
RevTex, 4 pages, 1 figure
Phys. Rev. A, R2614 (1999)
10.1103/PhysRevA.60.R2614
null
quant-ph
null
We show that the possibility of distinguishing between single and two photon detection events, usually not met in the actual experiments, is not a necessary requirement for the proof that the experiments of Alley and Shih [Phys. Rev. Lett. 61, 2921 (1988)], and Ou and Mandel [Phys. Rev. Lett. 61, 50 (1988)], are modulo fair sampling assumption, valid tests of local realism. We also give the critical parameters for the experiments to be unconditional tests of local realism, and show that some other interesting phenomena (involving bosonic type particle indistinguishability) can be observed during such tests.
[ { "version": "v1", "created": "Mon, 8 Nov 1999 15:29:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Zukowski", "Marek", "" ], [ "Kaszlikowski", "Dagomir", "" ], [ "Santos", "Emilio", "" ] ]
quant-ph/9911028
Dagomir Kaszlikowski
Marek Zukowski and Dagomir Kaszlikowski
Faster than light Bell telephone of Michalski transmits only noise
RevTex, 1 page
null
null
null
quant-ph
null
Motivated by pedagogical reasons we pinpoint the mistake in the recent claim, in quant-ph/9911016, that faster than light communication is possible.
[ { "version": "v1", "created": "Sun, 7 Nov 1999 15:52:28 GMT" }, { "version": "v2", "created": "Mon, 15 Nov 1999 15:44:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Zukowski", "Marek", "" ], [ "Kaszlikowski", "Dagomir", "" ] ]
quant-ph/9911029
Dae-Yup
Dae-Yup Song
Geometric Phase, Hannay's Angle, and an Exact Action Variable
Submitted to Phys. Rev. Lett. (revised version)
Physical Review Letters 85 (2000) 1141-1145
10.1103/PhysRevLett.85.1141
null
quant-ph
null
Canonical structure of a generalized time-periodic harmonic oscillator is studied by finding the exact action variable (invariant). Hannay's angle is defined if closed curves of constant action variables return to the same curves in phase space after a time evolution. The condition for the existence of Hannay's angle turns out to be identical to that for the existence of a complete set of (quasi)periodic wave functions. Hannay's angle is calculated, and it is shown that Berry's relation of semiclassical origin on geometric phase and Hannay's angle is exact for the cases considered.
[ { "version": "v1", "created": "Mon, 8 Nov 1999 03:15:15 GMT" }, { "version": "v2", "created": "Thu, 16 Dec 1999 09:06:20 GMT" }, { "version": "v3", "created": "Fri, 25 Aug 2000 09:55:36 GMT" } ]
2009-10-31T00:00:00
[ [ "Song", "Dae-Yup", "" ] ]
quant-ph/9911030
Dae-Yup
JeongHyeong Park and Dae-Yup Song
Geometric phases in the simple harmonic and perturbative Mathieu's oscillator systems
Submitted to J. Phys. A: Math. and Gen. (21 Oct. 1999)
null
null
null
quant-ph
null
Geometric phases of simple harmonic oscillator system are studied. Complete sets of "eigenfunctions" are constructed, which depend on the way of choosing classical solutions. For an eigenfunction, two different motions of the probability distribution function (pulsation of the width and oscillation of the center) contribute to the geometric phase which can be given in terms of the parameters of classical solutions. The geometric phase for a general wave function is also given. If a wave function has a parity under the inversion of space coordinate, then the geometric phase can be defined under the evolution of half of the period of classical motions. For the driven case, geometric phases are given in terms of Fourier coefficients of the external force. The oscillator systems whose classical equation of motion is Mathieu's equation are perturbatively studied, and the first term of nonvanishing geometric phase is calculated.
[ { "version": "v1", "created": "Mon, 8 Nov 1999 03:23:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Park", "JeongHyeong", "" ], [ "Song", "Dae-Yup", "" ] ]
quant-ph/9911031
Carlo Presilla
Matteo Beccaria, Carlo Presilla, Gian Fabrizio De Angelis, Giovanni Jona Lasinio
Evolution of fermionic systems as an expectation over Poisson processes
4 pages, contribution to the proceedings of tenth International Conference on Recent Progress in Many-Body Theories, Seattle, 1999
Int.J.Mod.Phys.B15:1740-1743,2001
10.1142/S0217979201006276
null
quant-ph cond-mat hep-lat math-ph math.MP
null
We derive an exact probabilistic representation for the evolution of a Hubbard model with site- and spin-dependent hopping coefficients and site-dependent interactions in terms of an associated stochastic dynamics of a collection of Poisson processes.
[ { "version": "v1", "created": "Mon, 8 Nov 1999 13:13:38 GMT" } ]
2011-04-15T00:00:00
[ [ "Beccaria", "Matteo", "" ], [ "Presilla", "Carlo", "" ], [ "De Angelis", "Gian Fabrizio", "" ], [ "Lasinio", "Giovanni Jona", "" ] ]
quant-ph/9911032
null
G. Brida, M.Genovese and C. Novero
An application of two photon entangled states to quantum metrology
to be published in Journ. of Mod. Opt. As proceeding of "Entanglement and Decoherence", Gargnano, September 1999
Jour. Mod. Opt. 47 (2000) 2099
10.1080/09500340008235132
IEN october 1999
quant-ph physics.optics
null
Besides many interesting application to the study of foundations of quantum mechanics, entangled state are now assuming a large relevance for some practical application. In particular, we discuss most recent results obtained in our laboratory on the use of two photons entangled states produced in parametric down conversion for absolute quantum efficiency calibration of photodetectors, in photon counting regime.
[ { "version": "v1", "created": "Mon, 8 Nov 1999 15:47:10 GMT" } ]
2015-06-26T00:00:00
[ [ "Brida", "G.", "" ], [ "Genovese", "M.", "" ], [ "Novero", "C.", "" ] ]
quant-ph/9911033
Slobodan Prvanovic
S. Prvanovic and Z. Maric, Belgrade, Serbia
An Operator Formulation of Classical Mechanics and Semiclassical Limit
5 pages, no figures
null
null
null
quant-ph
null
The generalized h-dependent operator algebra is defined ($0\leq h \leq h_o$). For h= h_o it becomes equivalent to the quantum mechanical algebra of observables and for h=0 it is equivalent to the classical one. We show this by proposing how the main features of both mechanics can be defined in operator form.
[ { "version": "v1", "created": "Mon, 8 Nov 1999 15:15:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Prvanovic", "S.", "" ], [ "Maric", "Z.", "" ], [ "Belgrade", "", "" ], [ "Serbia", "", "" ] ]
quant-ph/9911034
Anil K. Patnaik
Anil K. Patnaik and G. S. Agarwal (Physical Research Laboratory, Ahmedabad, India)
Controlling Magneto-Optical Rotation via Atomic COherences
5 pages, 3 figures, style files included
Frontiers of Laser Physics and Quantum Optics, Eds. Z. Xu, S. Xie, S.-Y. Zhu and M. O. Scully, pg. 403-407 (Springer, Berlin, 2000)
null
null
quant-ph
null
An isotropic medium, having magnetic sublevels, when subjected to a magnetic field or an electromagnetic field can induce anisotropy in the medium; and as a result the plane of polarization of the probe field can rotate. Therefore the rotation due to the magnetic field alone, can be {\em controlled efficiently} with use of a coherent field. We show, using a control field, significant enhancement of the magneto-optical rotation and demonstrate the possibility of realizing {\em magneto-optical switch}.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 06:54:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Patnaik", "Anil K.", "", "Physical Research Laboratory,\n Ahmedabad, India" ], [ "Agarwal", "G. S.", "", "Physical Research Laboratory,\n Ahmedabad, India" ] ]
quant-ph/9911035
Yoshihiro Nambu
Y. Nambu, A. Tomita, Y. Chiba-Kohno and K. Nakamura (Fundamental Res. Labs., NEC Corporation, Japan)
Quantum Key Distribution using Two Coherent States of Light and their Superposition
20 pages, 4 figures, RevTeX, submitted to PRA, Revised 2000/2/23
Phys. Rev. A62, 012312 (2000)
10.1103/PhysRevA.62.012312
PRDG-43599
quant-ph
null
Quantum mechanical complementarity ensures the security of the key-distribution scheme reported by Brassard and Bennet in 1984 (BB84), but does not prohibit use of multi-photons as a signal carrier. We describe a novel BB84 scheme in which two nearly orthogonal coherent states carry the key, and the superposition of these states (cat states) protects the communication channel from eavesdropping. Information leakage to eavesdroppers can be determined from the visibility of the interferential fringes in the distribution of the outcome when a certain quadrature component is measured through homodyne detection. The effect of channel loss and detector inefficiency is discussed.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 09:14:00 GMT" }, { "version": "v2", "created": "Wed, 23 Feb 2000 08:53:30 GMT" } ]
2009-10-31T00:00:00
[ [ "Nambu", "Y.", "", "Fundamental Res.\n Labs., NEC Corporation, Japan" ], [ "Tomita", "A.", "", "Fundamental Res.\n Labs., NEC Corporation, Japan" ], [ "Chiba-Kohno", "Y.", "", "Fundamental Res.\n Labs., NEC Corporation, Japan" ], [ "Nakamura", "K.", "", "Fundamental Res.\n Labs., NEC Corporation, Japan" ] ]
quant-ph/9911036
Matteo G. A. Paris
MGA Paris, M Plenio, D Jonathan, S Bose and GM D'Ariano
Optical Bell Measurement by Fock Filtering
8 pages, 2 figures
Physics Letters A 273 (2000) 153-158
10.1016/S0375-9601(00)00477-1
null
quant-ph
null
We describe a nonlinear interferometric setup to perform a complete optical Bell measurement, i.e. to unambigously discriminate the four polarization entangled EPR-Bell photon pairs. The scheme is robust against detector inefficiency.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 10:47:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Paris", "MGA", "" ], [ "Plenio", "M", "" ], [ "Jonathan", "D", "" ], [ "Bose", "S", "" ], [ "D'Ariano", "GM", "" ] ]
quant-ph/9911037
Anthony Hams
H. De Raedt, A.H. Hams, K. Michielsen, S. Miyashita, K. Saito
Quantum Statistical Mechanics on a Quantum Computer
6 pages, 2 figures, PTPTEX (included)
null
null
null
quant-ph
null
We describe a quantum algorithm to compute the density of states and thermal equilibrium properties of quantum many-body systems. We present results obtained by running this algorithm on a software implementation of a 21-qubit quantum computer for the case of an antiferromagnetic Heisenberg model on triangular lattices of different size.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 14:33:52 GMT" } ]
2007-05-23T00:00:00
[ [ "De Raedt", "H.", "" ], [ "Hams", "A. H.", "" ], [ "Michielsen", "K.", "" ], [ "Miyashita", "S.", "" ], [ "Saito", "K.", "" ] ]
quant-ph/9911038
Anthony Hams
H. De Raedt, A.H. Hams, K. Michielsen, S. Miyashita, K.Saito
Quantum Spin Dynamics and Quantum Computation
6 pages, 4 figures ; Minor errors corrected and figures updated
null
null
null
quant-ph
null
We describe a simulation method for a quantum spin model of a generic, general purpose quantum computer. The use of this quantum computer simulator is illustrated through several implementations of Grover's database search algorithm. Some preliminary results on the stability of quantum algorithms are presented.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 14:44:50 GMT" }, { "version": "v2", "created": "Fri, 14 Jan 2000 13:59:21 GMT" } ]
2007-05-23T00:00:00
[ [ "De Raedt", "H.", "" ], [ "Hams", "A. H.", "" ], [ "Michielsen", "K.", "" ], [ "Miyashita", "S.", "" ], [ "Saito", "K.", "" ] ]
quant-ph/9911039
Dagomir Kaszlikowski
Marek Zukowski and Dagomir Kaszlikowski
Greenberger-Horne-Zeilinger paradoxes with symmetric multiport beam splitters
RevTex, 8 pages
Phys. Rev. A 59, 3200 (1999)
10.1103/PhysRevA.59.3200
null
quant-ph
null
In a gedankenexperiment N particles in a generalized GHZ-type beam entangled state (each particle can be in one of M beams) are fed into N symmetric 2M-port beam splitters (spatially separated). Correlation functions for such a process (using the Bell numbers value assignment approach) reveal a remarkable symmetry. For N=M+1 greater or equal to 4 a series of GHZ paradoxes are shown.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 15:17:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Zukowski", "Marek", "" ], [ "Kaszlikowski", "Dagomir", "" ] ]
quant-ph/9911040
Svozil Karl
Hans Havlicek, Guenther Krenn, Johann Summhammer and Karl Svozil
Coloring the rational quantum sphere and the Kochen-Specker theorem
9 pages, 1 figure
J. Phys. A: Math. Gen. 34(14), 3071-3077 (13 April 2001)
null
null
quant-ph
null
We review and extend recent findings of Godsil and Zaks, who published a constructive coloring of the rational unit sphere with the property that for any orthogonal tripod formed by rays extending from the origin of the points of the sphere, exactly one ray is red, white and black. They also showed that any consistent coloring of the real sphere requires an additional color. We discuss some of the consequences for the Kochen-Specker theorem.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 16:24:12 GMT" }, { "version": "v2", "created": "Mon, 11 Jun 2001 08:31:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Havlicek", "Hans", "" ], [ "Krenn", "Guenther", "" ], [ "Summhammer", "Johann", "" ], [ "Svozil", "Karl", "" ] ]
quant-ph/9911041
Anthony Hams
Hans De Raedt, Anthony Hams, Kristel Michielsen, Koen De Raedt
Quantum Computer Emulator
28 pages, 4, figures, see also http://rugth30.phys.rug.nl/compphys/qce.htm ; figures updated, instructions changed
null
10.1016/S0010-4655(00)00132-6
null
quant-ph
null
We describe a quantum computer emulator for a generic, general purpose quantum computer. This emulator consists of a simulator of the physical realization of the quantum computer and a graphical user interface to program and control the simulator. We illustrate the use of the quantum computer emulator through various implementations of the Deutsch-Jozsa and Grover's database search algorithm.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 16:47:03 GMT" }, { "version": "v2", "created": "Wed, 29 Mar 2000 10:09:44 GMT" } ]
2009-10-31T00:00:00
[ [ "De Raedt", "Hans", "" ], [ "Hams", "Anthony", "" ], [ "Michielsen", "Kristel", "" ], [ "De Raedt", "Koen", "" ] ]
quant-ph/9911042
Christiane Koch
Christiane Koch and Bernd Esser
Spin-Boson Hamiltonian and Optical Absorption of Molecular Dimers
15 pages, revTeX, 8 figures, accepted for publication in Phys. Rev. A
Phys. Rev. A 61, 022508 (2000)
10.1103/PhysRevA.61.022508
null
quant-ph
null
An analysis of the eigenstates of a symmetry-broken spin-boson Hamiltonian is performed by computing Bloch and Husimi projections. The eigenstate analysis is combined with the calculation of absorption bands of asymmetric dimer configurations constituted by monomers with nonidentical excitation energies and optical transition matrix elements. Absorption bands with regular and irregular fine structures are obtained and related to the transition from the coexistence to a mixing of adiabatic branches in the spectrum. It is shown that correlations between spin states allow for an interpolation between absorption bands for different optical asymmetries.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 17:12:17 GMT" } ]
2012-04-20T00:00:00
[ [ "Koch", "Christiane", "" ], [ "Esser", "Bernd", "" ] ]
quant-ph/9911043
Lucien Hardy
Lucien Hardy (The Perimeter Institute) and Adrian Kent (Centre for Quantum Computation, University of Cambridge)
Cheat Sensitive Quantum Bit Commitment
Final version: a slightly shortened version of this will appear in PRL. Minor corrections from last version
Phys. Rev. Lett. 92, 157901 (2004).
10.1103/PhysRevLett.92.157901
null
quant-ph cs.CR
null
We define cheat sensitive cryptographic protocols between mistrustful parties as protocols which guarantee that, if either cheats, the other has some nonzero probability of detecting the cheating. We give an example of an unconditionally secure cheat sensitive non-relativistic bit commitment protocol which uses quantum information to implement a task which is classically impossible; we also describe a simple relativistic protocol.
[ { "version": "v1", "created": "Tue, 9 Nov 1999 22:53:16 GMT" }, { "version": "v2", "created": "Wed, 10 Nov 1999 20:02:33 GMT" }, { "version": "v3", "created": "Mon, 26 Jun 2000 15:26:05 GMT" }, { "version": "v4", "created": "Wed, 2 Jul 2003 12:33:31 GMT" }, { "version": "v5", "created": "Wed, 3 Mar 2004 18:59:50 GMT" } ]
2009-10-31T00:00:00
[ [ "Hardy", "Lucien", "", "The Perimeter Institute" ], [ "Kent", "Adrian", "", "Centre for\n Quantum Computation, University of Cambridge" ] ]
quant-ph/9911044
Duer Wolfgang
W. D\"ur and J. I. Cirac
Classification of multi-qubit mixed states: separability and distillability properties
12 pages, 2 figures
Phys. Rev. A 61, 042314 (2000)
10.1103/PhysRevA.61.042314
null
quant-ph
null
We give a complete, hierarchic classification for arbitrary multi-qubit mixed states based on the separability properties of certain partitions. We introduce a family of N-qubit states to which any arbitrary state can be depolarized. This family can be viewed as the generalization of Werner states to multi-qubit systems. We fully classify those states with respect to their separability and distillability properties. This provides sufficient conditions for nonseparability and distillability for arbitrary states.
[ { "version": "v1", "created": "Wed, 10 Nov 1999 11:18:51 GMT" } ]
2009-10-31T00:00:00
[ [ "Dür", "W.", "" ], [ "Cirac", "J. I.", "" ] ]
quant-ph/9911045
Dagomir Kaszlikowski
Marek Zukowski and Dagomir Kaszlikowski
Entanglement swapping with PDC sources
RevTex, 5 pages, 1 figure
acta physica slovaca vol. 49 No. 4, 621-626
null
null
quant-ph
null
We show that the possibility of distinguishing between single and two photon detection events is not a necessary requirement for the proof that recent operational realization of entanglement swapping cannot find a local realistic description. We propose a simple modification of the experiment, which gives a richer set of interesting phenomena.
[ { "version": "v1", "created": "Wed, 10 Nov 1999 16:42:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Zukowski", "Marek", "" ], [ "Kaszlikowski", "Dagomir", "" ] ]
quant-ph/9911046
Alexander Gersten
A. Gersten
Orthogonality and Boundary Conditions in Quantum Mechanics
10 pages, LaTex
Found. Phys. Lett. 11, 251-4 (1998)
null
null
quant-ph
null
One-dimensional particle states are constructed according to orthogonality conditions, without requiring boundary conditions. Free particle states are constructed using Dirac's delta function orthogonality conditions. The states (doublets) depend on two quantum numbers: energy and parity. With the aid of projection operators the particles are confined to a constrained region, in a way similar to the action of an infinite well potential. From the resulting overcomplete basis only the mutually orthogonal states are selected. Four solutions are found, corresponding to different non-commuting Hamiltonians. Their energy eigenstates are labeled with the main quantum number n and parity "+" or "-". The energy eigenvalues are functions of n only. The four cases correspond to different boundary conditions: (I) the wave function vanishes on the boundary, (II) the derivative of the wavefunction vanishes on the boundary,(III) periodic (symmetric) boundary conditions, (IV) periodic (antisymmetric)boundary conditions . Among the four cases, only solution (III) forms a complete basis in the sense that any function in the constrained region, can be expanded with it. By extending the boundaries of the constrained region to infinity, only solution (III) converges uniformly to the free particle states. Orthogonality seems to be a more basic requirement than boundary conditions. By using projection operators, confinement of the particle to a definite region can be achieved in a conceptually simple and unambiguous way, and physical operators can be written so that they act only in the confined region.
[ { "version": "v1", "created": "Wed, 10 Nov 1999 22:11:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Gersten", "A.", "" ] ]
quant-ph/9911047
Alexander Gersten
A. Gersten
Incomplete Delta Functions
11 pages, LaTex
Found. Phys. Lett. 11, 165-178 (1998)
null
null
quant-ph
null
By applying projection operators to state vectors of coordinates we obtain subspaces in which these states are no longer normalized according to Dirac's delta function but normalized according to what we call "incomplete delta functions". We show that this class of functions satisfy identities similar to those satisfied by the Dirac delta function. The incomplete delta functions may be employed advantageously in projected subspaces and in the link between functions defined on the whole space and the projected subspace. We apply a similar procedure to finite dimensional vector spaces for which we define incomplete Kronecker deltas. Dispersion relations for the momenta are obtained and ''sums over poles'' are defined and obtained with the aid of differences of incomplete delta functions.
[ { "version": "v1", "created": "Wed, 10 Nov 1999 22:28:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Gersten", "A.", "" ] ]
quant-ph/9911048
Volodymyr Tkachuk
V. M. Tkachuk and P. Roy
Motion of a spin 1/2 particle in shape invariant scalar and magnetic fields
14 pages
null
10.1088/0305-4470/33/22/317
null
quant-ph
null
We study the motion of a spin 1/2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.
[ { "version": "v1", "created": "Thu, 11 Nov 1999 15:48:50 GMT" } ]
2009-10-31T00:00:00
[ [ "Tkachuk", "V. M.", "" ], [ "Roy", "P.", "" ] ]
quant-ph/9911049
Alexander Gersten
A. Gersten
Maxwell equations as the one-photon quantum equation
9 pages, LaTex
Found. Phys. Lett. 12, 291-8 (1999)
null
null
quant-ph
null
Maxwell equations (Faraday and Ampere-Maxwell laws) can be presented as a three component equation in a way similar to the two component neutrino equation. However, in this case, the electric and magnetic Gauss's laws can not be derived from first principles. We have shown how all Maxwell equations can be derived simultaneously from first principles, similar to those which have been used to derive the Dirac relativistic electron equation. We have also shown that equations for massless particles, derived by Dirac in 1936, lead to the same result. The complex wave function, being a linear combination of the electric and magnetic fields, is a locally measurable and well understood quantity. Therefore Maxwell equations should be used as a guideline for proper interpretations of quantum theories.
[ { "version": "v1", "created": "Thu, 11 Nov 1999 17:58:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Gersten", "A.", "" ] ]
quant-ph/9911050
Stephen A. Fulling
S. A. Fulling
A Possible New Quantum Algorithm: Arithmetic with Large Integers via the Chinese Remainder Theorem
4 pages; plain TeX with vanilla.sty and pictex.tex macros
null
null
null
quant-ph
null
Residue arithmetic is an elegant and convenient way of computing with integers that exceed the natural word size of a computer. The algorithms are highly parallel and hence naturally adapted to quantum computation. The process differs from most quantum algorithms currently under discussion in that the output would presumably be obtained by classical superposition of the output of many identical quantum systems, instead of by arranging for constructive interference in the wave function of a single quantum computer.
[ { "version": "v1", "created": "Thu, 11 Nov 1999 20:05:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Fulling", "S. A.", "" ] ]
quant-ph/9911051
Stephen A. Fulling
S. A. Fulling
Large Numbers, the Chinese Remainder Theorem, and the Circle of Fifths
9 pages; Plain TeX with vanilla.sty and pictex.tex macros
Phys. Rev. Applied 13, 024016 (2020)
10.1103/PhysRevApplied.13.024016
null
quant-ph
null
This is a pedagogical article cited in the foregoing research note, quant-ph/9911050
[ { "version": "v1", "created": "Thu, 11 Nov 1999 20:12:50 GMT" } ]
2020-02-12T00:00:00
[ [ "Fulling", "S. A.", "" ] ]
quant-ph/9911052
Brian C. Hall
Brian C. Hall
Coherent states, Yang-Mills theory, and reduction
null
null
null
null
quant-ph hep-th math-ph math.MP
null
This paper explains some of the ideas behind a prior joint work of the author with Bruce Driver on the canonical quantization of Yang-Mills theory on a spacetime cylinder. The idea is that the generalized Segal-Bargmann transform for a compact group can be obtained from the ordinary Segal-Bargmann transform by imposing gauge symmetry.
[ { "version": "v1", "created": "Thu, 11 Nov 1999 20:55:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Hall", "Brian C.", "" ] ]
quant-ph/9911053
Jae-Seung Lee
Jae-Seung Lee, Yongwook Chung, Jaehyun Kim, Soonchil Lee
A Practical Method of Constructing Quantum Combinational Logic Circuits
REVTeX, 10 pages, 3 figures
null
null
null
quant-ph
null
We describe a practical method of constructing quantum combinational logic circuits with basic quantum logic gates such as NOT and general $n$-bit Toffoli gates. This method is useful to find the quantum circuits for evaluating logic functions in the form most appropriate for implementation on a given quantum computer. The rules to get the most efficient circuit are utilized best with the aid of a Karnaugh map. It is explained which rules of using a Karnaugh map are changed due to the difference between the quantum and classical logic circuits.
[ { "version": "v1", "created": "Fri, 12 Nov 1999 06:13:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Lee", "Jae-Seung", "" ], [ "Chung", "Yongwook", "" ], [ "Kim", "Jaehyun", "" ], [ "Lee", "Soonchil", "" ] ]
quant-ph/9911054
Norbert Luetkenhaus
Gilles Brassard, Norbert L\"utkenhaus, Tal Mor, and Barry C. Sanders
Security Aspects of Practical Quantum Cryptography
5 pages, uses multicol
Phys. Rev. Lett. Vol 85, 1330-1333 (2000).
10.1103/PhysRevLett.85.1330
null
quant-ph
null
The use of quantum bits (qubits) in cryptography holds the promise of secure cryptographic quantum key distribution schemes. Unfortunately, the implemented schemes can be totally insecure. We provide a thorough investigation of security issues for practical quantum key distribution, taking into account channel losses, a realistic detection process, and modifications of the ``qubits'' sent from the sender to the receiver. We first show that even quantum key distribution with perfect qubits cannot be achieved over long distances when fixed channel losses and fixed dark count errors are taken into account. Then we show that existing experimental schemes (based on ``weak-pulse'') are usually totally insecure. Finally we show that parametric downconversion offers enhanced performance compared to its weak coherent pulse counterpart.
[ { "version": "v1", "created": "Fri, 12 Nov 1999 08:32:27 GMT" } ]
2009-10-31T00:00:00
[ [ "Brassard", "Gilles", "" ], [ "Lütkenhaus", "Norbert", "" ], [ "Mor", "Tal", "" ], [ "Sanders", "Barry C.", "" ] ]
quant-ph/9911055
Molotkov S.
S.N.Molotkov and S.S.Nazin (Institute of Solid State Physics, Russian Academy of Sciences)
Unconditionally Secure Relativistic Quantum Bit Commitment
12 pages, no figures
null
null
null
quant-ph
null
A new relativistic quantum protocol is proposed allowing to implement the bit commitment scheme. The protocol is based on the idea that in the relativistic case the field propagation to the region of space accessible to measurement requires, contrary to the non-relativistic case, a finite non-zero time which depends on the structure of the particular state of the field. In principle, the secret bit can be stored for arbitrarily long time with the probability arbitrarily close to unit.
[ { "version": "v1", "created": "Fri, 12 Nov 1999 11:15:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Molotkov", "S. N.", "", "Institute of Solid State Physics, Russian\n Academy of Sciences" ], [ "Nazin", "S. S.", "", "Institute of Solid State Physics, Russian\n Academy of Sciences" ] ]
quant-ph/9911056
Dr Dagmar Bruss
Dagmar Bruss and Asher Peres
Construction of quantum states with bound entanglement
5 pages
Phys. Rev. A 61, 30301(R) (2000)
10.1103/PhysRevA.61.030301
null
quant-ph
null
We present a new family of bound-entangled quantum states in 3x3 dimensions. Their density matrix depends on 7 independent parameters and has 4 different non-vanishing eigenvalues.
[ { "version": "v1", "created": "Fri, 12 Nov 1999 13:33:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Bruss", "Dagmar", "" ], [ "Peres", "Asher", "" ] ]
quant-ph/9911057
Barbara M. Terhal
Barbara M. Terhal
Bell Inequalities and the Separability Criterion
16 pages Revtex, typo in equation (14) corrected
Physics Letters A Vol. 271, 319 (2000)
10.1016/S0375-9601(00)00401-1
null
quant-ph
null
We analyze and compare the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities. We show that a violation of a Bell inequality can formally be expressed as a witness for entanglement. We also show how the criterion for separability and a description of the state by a local hidden variable theory, become equivalent when we restrict the set of local hidden variable theories to the domain of quantum mechanics. This analysis sheds light on the essential difference between the two criteria and may help us in understanding whether there exist entangled states for which the statistics of the outcomes of all possible local measurements can be described by a local hidden variable theory.
[ { "version": "v1", "created": "Fri, 12 Nov 1999 17:33:34 GMT" }, { "version": "v2", "created": "Tue, 23 Nov 1999 17:10:09 GMT" }, { "version": "v3", "created": "Fri, 26 May 2000 15:35:03 GMT" }, { "version": "v4", "created": "Mon, 27 Nov 2000 15:55:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Terhal", "Barbara M.", "" ] ]
quant-ph/9911058
Paul Slater
Paul B. Slater (University of California)
Exact Bures Probabilities that Two Quantum Bits are Classically Correlated
Seventeen pages, LaTeX, eleven postscript figures. In this version, subsequent (!) to publication in European Physical Journal B, we correct the (1,1)-entries of the 4 x 4 matrices given in formulas (6) and (7), that is, the numerators should both read v^2 - x^2 - y^2 - z^2, rather than v^2 - x^2 + y^2 + z^2
European Physical Journal B, Oct. 2000, vol. 17 (no.3):471-80
10.1007/s100510070126
null
quant-ph math-ph math.MP physics.data-an
null
In previous studies, we have explored the ansatz that the volume elements of the Bures metrics over quantum systems might serve as prior distributions, in analogy to the (classical) Bayesian role of the volume elements ("Jeffreys' priors") of Fisher information metrics. Continuing this work, we obtain exact Bures probabilities that the members of certain low-dimensional subsets of the fifteen-dimensional convex set of 4 x 4 density matrices are separable or classically correlated. The main analytical tools employed are symbolic integration and a formula of Dittmann (quant-ph/9908044) for Bures metric tensors. This study complements an earlier one (quant-ph/9810026) in which numerical (randomization) --- but not integration --- methods were used to estimate Bures separability probabilities for unrestricted 4 x 4 or 6 x 6 density matrices. The exact values adduced here for pairs of quantum bits (qubits), typically, well exceed the estimate (.1) there, but this disparity may be attributable to our focus on special low-dimensional subsets. Quite remarkably, for the q = 1 and q = 1/2 states inferred using the principle of maximum nonadditive (Tsallis) entropy, the separability probabilities are both equal to 2^{1/2} - 1. For the Werner qubit-qutrit and qutrit-qutrit states, the probabilities are vanishingly small, while in the qubit-qubit case it is 1/4.
[ { "version": "v1", "created": "Fri, 12 Nov 1999 23:00:58 GMT" }, { "version": "v2", "created": "Sun, 14 Nov 1999 23:21:51 GMT" }, { "version": "v3", "created": "Thu, 18 Nov 1999 19:52:32 GMT" }, { "version": "v4", "created": "Fri, 10 Dec 1999 22:22:46 GMT" }, { "version": "v5", "created": "Thu, 24 Feb 2000 20:06:54 GMT" }, { "version": "v6", "created": "Thu, 22 Jun 2000 21:22:21 GMT" }, { "version": "v7", "created": "Thu, 11 Jan 2001 17:18:32 GMT" } ]
2009-10-31T00:00:00
[ [ "Slater", "Paul B.", "", "University of California" ] ]
quant-ph/9911059
Taksu Cheon de Caracorum
T. Shigehara, H. Mizoguchi, T. Mishima (Saitama U) and Taksu Cheon (Kochi Tech)
Generalized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics
LaTeX 4 Pages, Talk to be presented at The 1999 International Symposium on Nonlinear Theory and Its Applications (NOLTA99) Hilton Waikoloa Village, Hawaii, USA, Nov 28 - Dec 2, 1999
null
null
null
quant-ph
null
We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $\delta$ functions. We also discuss the problem within relativistic (Dirac) framework and give the solution for a three parameter family. It gives a physical interpretation for so-called $\epsilon$ potential. It will be also shown that the scattering properties at high energy substantially differ between non-relativistic and relativistic cases.
[ { "version": "v1", "created": "Sat, 13 Nov 1999 07:47:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Shigehara", "T.", "", "Saitama U" ], [ "Mizoguchi", "H.", "", "Saitama U" ], [ "Mishima", "T.", "", "Saitama U" ], [ "Cheon", "Taksu", "", "Kochi Tech" ] ]
quant-ph/9911060
Pavel Exner
Pavel Exner, Vladimir A. Geyler
Berry phase in magnetic systems with point perturbations
LaTeX, 26 pages
J. Geom. Phys. 36 (2000), 178-197
10.1016/S0393-0440(00)00020-6
null
quant-ph cond-mat math-ph math.MP
null
We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state corresponding to an isolated eigenvalue acquires a Berry phase. We derive an expression for it and evaluate it in several examples such as a homogeneous field, a magnetic whisker, a particle confined at a ring or in quantum dots, a parabolic and a zero-range one. We also discuss the behavior of the lowest Landau level in this setting obtaining an explicit example of the Wilczek-Zee phase for an infinitely degenerated eigenvalue.
[ { "version": "v1", "created": "Sat, 13 Nov 1999 11:10:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Exner", "Pavel", "" ], [ "Geyler", "Vladimir A.", "" ] ]
quant-ph/9911061
Victor Flambaum
V.V. Flambaum
Time dynamics in chaotic many-body systems: can chaos destroy a quantum computer?
9 pages, RevTex
null
null
null
quant-ph chao-dyn cond-mat.mes-hall cond-mat.stat-mech nlin.CD nucl-th physics.atom-ph
null
Highly excited many-particle states in quantum systems (nuclei, atoms, quantum dots, spin systems, quantum computers) can be ``chaotic'' superpositions of mean-field basis states (Slater determinants, products of spin or qubit states). This is a result of the very high energy level density of many-body states which can be easily mixed by a residual interaction between particles. We consider the time dynamics of wave functions and increase of entropy in such chaotic systems. As an example we present the time evolution in a closed quantum computer. A time scale for the entropy S(t) increase is t_c =t_0/(n log_2{n}), where t_0 is the qubit ``lifetime'', n is the number of qubits, S(0)=0 and S(t_c)=1. At t << t_c the entropy is small: S= n t^2 J^2 log_2(1/t^2 J^2), where J is the inter-qubit interaction strength. At t > t_c the number of ``wrong'' states increases exponentially as 2^{S(t)} . Therefore, t_c may be interpreted as a maximal time for operation of a quantum computer, since at t > t_c one has to struggle against the second law of thermodynamics. At t >>t_c the system entropy approaches that for chaotic eigenstates.
[ { "version": "v1", "created": "Mon, 15 Nov 1999 02:57:05 GMT" } ]
2016-09-08T00:00:00
[ [ "Flambaum", "V. V.", "" ] ]
quant-ph/9911062
Igor V. Volovich
I.V. Volovich
Atomic Quantum Computer
5 pages, Latex
null
null
null
quant-ph cond-mat.mes-hall physics.atom-ph
null
The current proposals for the realization of quantum computer such as NMR, quantum dots and trapped ions are based on the using of an atom or an ion as one qubit. In these proposals a quantum computer consists from several atoms and the coupling between them provides the coupling between qubits necessary for a quantum gate. We discuss whether a {\it single} atom can be used as a quantum computer. Internal states of the atom serve to hold the quantum information and the spin-orbit and spin-spin interaction provides the coupling between qubits in the atomic quantum computer. In particular one can use the electron spin resonance (ESR) to process the information encoded in the hyperfine splitting of atomic energy levels. By using quantum state engineering one can manipulate the internal states of the natural or artificial (quantum dot) atom to make quantum computations.
[ { "version": "v1", "created": "Sun, 14 Nov 1999 04:23:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Volovich", "I. V.", "" ] ]
quant-ph/9911063
LiXiang Li
Zheng-Wei Zhou and Guang-Can Guo (University of Science and Technology of China)
Disentanglement and Inseparability correlation : in two-qubit system
10 Pages, 2 Figures, REVTeX; to appear in PRA
null
10.1103/PhysRevA.61.032108
null
quant-ph
null
Started from local universal isotropic disentanglement, a threshold inequality on reduction factors is proposed, which is necessary and sufficient for this type of disentanglement processes. Furthermore, we give the conditions realizing ideal disentanglement processes provided that some information on quantum states is known. In addition, based on fully entangled fraction, a concept called inseparability correlation is presented. Some properties on inseparability correlation coefficient are studied.
[ { "version": "v1", "created": "Sun, 14 Nov 1999 13:07:58 GMT" } ]
2009-10-31T00:00:00
[ [ "Zhou", "Zheng-Wei", "", "University of Science and Technology\n of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology\n of China" ] ]
quant-ph/9911064
C. Y. Chen
C.Y. Chen
Time-dependent Perturbation Theory in Quantum Mechanics
13 pages, No figures
null
null
null
quant-ph
null
After revealing difficulties of the standard time-dependent perturbation theory in quantum mechanics mainly from the viewpoint of practical calculation, we propose a new quasi-canonical perturbation theory. In the new theory, the dynamics of physical observables, instead of that of coefficients of wave-function expansion, is formulated so that the gauge-invariance and correspondence principles are observed naturally.
[ { "version": "v1", "created": "Sun, 14 Nov 1999 14:29:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "C. Y.", "" ] ]
quant-ph/9911065
Spohn
Herbert Spohn
Semiclassical limit of the Dirac equation and spin precession
null
null
10.1006/aphy.2000.6039
null
quant-ph
null
We study the Dirac equation with slowly varying external potentials. Using matrix-valued Wigner functions we prove that the electron follows with high precision the classical orbit and that the spin precesses according to the BMT equation with gyromagnetic ratio g=2.
[ { "version": "v1", "created": "Sun, 14 Nov 1999 16:37:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Spohn", "Herbert", "" ] ]
quant-ph/9911066
Klaus Morawetz
Klaus Morawetz, V\'aclav \v{S}pi\v{c}ka, Pavel Lipavsk\'y
Nonlocal kinetic theory
Proceedings KB99 Workshop, September 20-24 1999, Rostock, Germany
null
10.1142/9789812792754_0054
null
quant-ph
null
The short time behavior of a disturbed system is influenced by off-shell motion and best characterized by the reduced density matrix possessing high energetic tails. We present analytically the formation of correlations due to collisions in an interacting Fermionic system with and without initial correlation. After this short time regime the time evolution is controlled by small gradients. This leads to a nonlocal Boltzmann equation for the quasiparticle distribution and a functional relating the latter one to the reduced density matrix. The nonlocalities are presented as time and space shifts arising from gradient expansion and are leading to virial corrections in the thermodynamical limit.
[ { "version": "v1", "created": "Mon, 15 Nov 1999 08:11:48 GMT" } ]
2016-11-23T00:00:00
[ [ "Morawetz", "Klaus", "" ], [ "Špička", "Václav", "" ], [ "Lipavský", "Pavel", "" ] ]
quant-ph/9911067
Hradil Zdenek
Z. Hradil, J. Summhammer
Quantum theory of incompatible observations
3 pages
null
10.1088/0305-4470/33/42/309
null
quant-ph
null
Maximum likelihood principle is shown to be the best measure for relating the experimental data with the predictions of quantum theory.
[ { "version": "v1", "created": "Mon, 15 Nov 1999 11:58:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Hradil", "Z.", "" ], [ "Summhammer", "J.", "" ] ]
quant-ph/9911068
Hradil Zdenek
Z. Hradil, J. Summhammer, G. Badurek, H. Rauch
Reconstruction of the spin state
4 pages, 1 figure
null
10.1103/PhysRevA.62.014101
null
quant-ph
null
System of 1/2 spin particles is observed repeatedly using Stern-Gerlach apparatuses with rotated orientations. Synthesis of such non-commuting observables is analyzed using maximum likelihood estimation as an example of quantum state reconstruction. Repeated incompatible observations represent a new generalized measurement. This idealized scheme will serve for analysis of future experiments in neutron and quantum optics.
[ { "version": "v1", "created": "Mon, 15 Nov 1999 13:52:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Hradil", "Z.", "" ], [ "Summhammer", "J.", "" ], [ "Badurek", "G.", "" ], [ "Rauch", "H.", "" ] ]
quant-ph/9911069
David Vitali
Stefano Mancini, David Vitali and Paolo Tombesi
Motional Squashed States
8 pages, 2 figures, to appear in the special Issue "Quantum Correlations and Fluctuations" of J. Opt. B
J. Opt. B: Quantum Semiclass. Opt. 2, 190 (2000)
10.1088/1464-4266/2/2/322
null
quant-ph
null
We show that by using a feedback loop it is possible to reduce the fluctuations in one quadrature of the vibrational degree of freedom of a trapped ion below the quantum limit. The stationary state is not a proper squeezed state, but rather a ``squashed'' state, since the uncertainty in the orthogonal quadrature, which is larger than the standard quantum limit, is unaffected by the feedback action.
[ { "version": "v1", "created": "Mon, 15 Nov 1999 14:13:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Mancini", "Stefano", "" ], [ "Vitali", "David", "" ], [ "Tombesi", "Paolo", "" ] ]
quant-ph/9911070
Garnik F. Mkrtchian
H. K. Avetissian, A. G. Markossian and G. F. Mkrtchian (Yerevan State University, Yerevan, Armenia)
Relativistic theory of the above-threshold multiphoton ionization of hydrogen-like atoms in the ultrastrong laser fields
REVTeX, 13 pages
null
null
null
quant-ph
null
The relativistic theory of above-threshold ionization (ATI) of hydrogen-like atoms in ultrastrong radiation fields, taking into account the photoelectron induced rescattering in the continuum spectrum is developed. It is shown that the contribution of the latter in the multiphoton ionization probability even in the Born approximation by Coulomb field is of the order of ATI probability in the scope of Keldysh-Faisal-Reiss ansatz.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 13:36:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Avetissian", "H. K.", "", "Yerevan State\n University, Yerevan, Armenia" ], [ "Markossian", "A. G.", "", "Yerevan State\n University, Yerevan, Armenia" ], [ "Mkrtchian", "G. F.", "", "Yerevan State\n University, Yerevan, Armenia" ] ]
quant-ph/9911071
Hradil Zdenek
Z. Hradil and M. Dusek
Analogy between optimal spin estimation and interferometry
5 pages
null
10.1016/S0030-4018(00)00809-9
null
quant-ph
null
Scheme for optimal spin state estimation is considered in analogy with phase detection in interferometry. Recently reported coherent measurements yielding the average fidelity (N+1)/(N+2) for N particle system corresponds to the standard limit of phase resolution 1/\sqrt{N}. It provides the bound for incoherent measurements when each particle is detected separately and information is used optimally. For specific states, improvement up to the value 1/N is possible in quantum theory. The best results are obtained combining sequentially coherent measurements on fractional groups of particles.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 14:01:47 GMT" } ]
2009-10-31T00:00:00
[ [ "Hradil", "Z.", "" ], [ "Dusek", "M.", "" ] ]
quant-ph/9911072
Jonathan A. Jones
H. K. Cummins and J. A. Jones
Use of composite rotations to correct systematic errors in NMR quantum computation
8 pages RevTex including 7 PostScript figures (18 subfigures)
New J. Phys. 2 6.1-6.12 (2000)
10.1088/1367-2630/2/1/006
JAJQP-99-03
quant-ph
null
We implement an ensemble quantum counting algorithm on three NMR spectrometers with 1H resonance frequencies of 500, 600 and 750 MHz. At higher frequencies, the results deviate markedly from naive theoretical predictions. These systematic errors can be attributed almost entirely to off-resonance effects, which can be substantially corrected for using fully-compensating composite rotation pulse sequences originally developed by Tycko. We also derive an analytic expression for generating such sequences with arbitrary rotation angles.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 15:38:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Cummins", "H. K.", "" ], [ "Jones", "J. A.", "" ] ]
quant-ph/9911073
Dr. Arun Kumar Pati
Arun K. Pati
Existence of the Schmidt decomposition for tripartite systems
Latex prerpint style, 7 pages
null
10.1016/S0375-9601(00)00767-2
null
quant-ph
null
For any bipartite quantum system the Schmidt decomposition allows us to express the state vector in terms of a single sum instead of double sums. We show the existence of the Schmidt decomposition for tripartite system under certain condition. If the partial inner product of a basis (belonging to a Hilbert space of smaller dimension) with the state of the composite system gives a disentangled basis, then the Schmidt decomposition for a tripartite system exists. In this case the reduced density matrix of each of the subsystem has equal spectrum in the Schmidt basis.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 19:14:38 GMT" }, { "version": "v2", "created": "Tue, 11 Jul 2000 13:46:01 GMT" } ]
2009-10-31T00:00:00
[ [ "Pati", "Arun K.", "" ] ]
quant-ph/9911074
Alexander Y. Vlasov
Alexander Yu. Vlasov (FRC/IRH)
Error Correction with Euclidean Qubits
13 pages \LaTeXe + amsmath, typo changes
Quantum Computers & Computing 2 (2001) 68
null
null
quant-ph
null
In classical case there is simplest method of error correction with using three equal bits instead of one. In the paper is shown, how the scheme fails for quantum error correction with complex vector spaces of usual quantum mechanics, but works in real and quaternionic cases. It is discussed also, how to implement the three qubits scheme with using encoding of quaternionic qubit by Majorana spinor. Necessary concepts and formulae from area of quantum error corrections are closely introduced and proved.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 21:25:50 GMT" }, { "version": "v2", "created": "Tue, 23 Nov 1999 19:56:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Vlasov", "Alexander Yu.", "", "FRC/IRH" ] ]
quant-ph/9911075
Mikhail Sergeenko
M. N. Sergeenko
Semiclassical wave equation and exactness of the WKB method
13 pages
Phys. Rev. A 53 (1996) 3798
10.1103/PhysRevA.53.3798
null
quant-ph math-ph math.MP
null
The exactness of the semiclassical method for three-dimensional problems in quantum mechanics is analyzed. The wave equation appropriate in the quasiclassical region is derived. It is shown that application of the standard leading-order WKB quantization condition to this equation reproduces exact energy eigenvalues for all solvable spherically symmetric potentials.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 20:05:52 GMT" } ]
2012-07-02T00:00:00
[ [ "Sergeenko", "M. N.", "" ] ]
quant-ph/9911076
Stuart Mirell
Stuart Mirell, Daniel Mirell
High Efficiency Interaction-free Measurement from Continuous Wave Multi-beam Interference
7 pages, 2 figures
null
null
null
quant-ph
null
A new method for high efficiency interaction-free measurement is presented. Selective transmission of multiple beam interference is used to generate a continuous wave target beam with an irradiance level ~1% that of a reference beam. When the target beam is unobstructed by a potentially interposed object, the resultant measured interference visibility of 0.86 with the reference beam significantly exceeds the classically predicted irradiance-based visibility of 0.17 and provides a methodology for ~100% interaction-free measurement with a continuous wave beam.
[ { "version": "v1", "created": "Tue, 16 Nov 1999 22:59:06 GMT" }, { "version": "v2", "created": "Wed, 17 Nov 1999 04:27:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Mirell", "Stuart", "" ], [ "Mirell", "Daniel", "" ] ]
quant-ph/9911077
Sergei Kozyrev
L. Accardi, S.V. Kozyrev
The stochastic limit of quantum spin systems
11 pages, LaTeX 2.09
null
10.1063/1.1291629
Vlt-394
quant-ph
null
The stochastic limit for the system of spins interacting with a boson field is investigated. In the finite volume an application of the stochastic golden rule shows that in the limit the dynamics of a quantum system is described by a quantum white noise equation that after taking of normal order is equivalent to quantum stochastic differential equation (QSDE). For the quantum Langevin equation the dynamics is well defined and is a quantum flow on the infinite lattice system.
[ { "version": "v1", "created": "Wed, 17 Nov 1999 10:12:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Accardi", "L.", "" ], [ "Kozyrev", "S. V.", "" ] ]
quant-ph/9911078
Accardi
L. Accardi, S. V. Kozyrev
On the structure of Markov flows
22 pages, LaTeX 2.09, proof of Lemma 23 corrected
null
null
Vlt 393
quant-ph
null
A new infinitesimal characterization of completely positive but not necessarily homomorphic Markov flows from a C^*-algebra to bounded operators on the boson Fock space over L^2(R) is given. Contrarily to previous characterizations, based on stochastic differential equations, this characterization is universal, i.e. valid for arbitrary Markov flows. With this result the study of Markov flows is reduced to the study of four C_0-semigroups. This includes the classical case and even in this case it seems to be new. The result is applied to deduce a new existence theorem for Markov flows.
[ { "version": "v1", "created": "Wed, 17 Nov 1999 10:46:18 GMT" }, { "version": "v2", "created": "Thu, 3 Feb 2000 12:25:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Accardi", "L.", "" ], [ "Kozyrev", "S. V.", "" ] ]
quant-ph/9911079
C. King
C. King and M. B. Ruskai
Minimal Entropy of States Emerging from Noisy Quantum Channels
LATEX file; 44 pages, 7 figures; references added, typos corrected; extended discussion of additivity for minimal entropy vs capacity
IEEE Trans. Info. Theory, 47, 192-209 (2001)
null
null
quant-ph
null
In this paper, we consider the minimal entropy of qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trace-preserving (or stochastic) map. We provide strong support for the conjecture that this minimal entropy is additive, namely that the minimum entropy can be achieved when product states are transmitted. Explicitly, we prove that for a tensor product of two unital stochastic maps on qubit states, using an entanglement that involves only states which emerge with minimal entropy cannot decrease the entropy below the minimum achievable using product states. We give a separate argument, based on the geometry of the image of the set of density matrices under stochastic maps, which suggests that the minimal entropy conjecture holds for non-unital as well as for unital maps. We also show that the maximal norm of the output states is multiplicative for most product maps on $n$-qubit states, including all those for which at least one map is unital. For the class of {\it unital} channels on ${\bf C}^2$, we show that additivity of minimal entropy implies that the Holevo capacity of the channel is {\it additive} over two inputs, achievable with orthogonal states, and equal to the Shannon capacity. This implies that superadditivity of the capacity is possible only for non-unital channels.
[ { "version": "v1", "created": "Wed, 17 Nov 1999 17:26:50 GMT" }, { "version": "v2", "created": "Tue, 25 Jan 2000 23:23:02 GMT" }, { "version": "v3", "created": "Wed, 2 Aug 2000 19:01:20 GMT" } ]
2007-05-23T00:00:00
[ [ "King", "C.", "" ], [ "Ruskai", "M. B.", "" ] ]
quant-ph/9911080
Xuedong Hu
Xuedong Hu and S. Das Sarma
Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
22 2-column pages, 11 figures. Published version
Phys. Rev. A 61, 062301 (2000)
10.1103/PhysRevA.61.062301
null
quant-ph cond-mat.mes-hall
null
We study theoretically a double quantum dot hydrogen molecule in the GaAs conduction band as the basic elementary gate for a quantum computer with the electron spins in the dots serving as qubits. Such a two-dot system provides the necessary two-qubit entanglement required for quantum computation. We determine the excitation spectrum of two horizontally coupled quantum dots with two confined electrons, and study its dependence on an external magnetic field. In particular, we focus on the splitting of the lowest singlet and triplet states, the double occupation probability of the lowest states, and the relative energy scales of these states. We point out that at zero magnetic field it is difficult to have both a vanishing double occupation probability for a small error rate and a sizable exchange coupling for fast gating. On the other hand, finite magnetic fields may provide finite exchange coupling for quantum computer operations with small errors. We critically discuss the applicability of the envelope function approach in the current scheme and also the merits of various quantum chemical approaches in dealing with few-electron problems in quantum dots, such as the Hartree-Fock self-consistent field method, the molecular orbital method, the Heisenberg model, and the Hubbard model. We also discuss a number of relevant issues in quantum dot quantum computing in the context of our calculations, such as the required design tolerance, spin decoherence, adiabatic transitions, magnetic field control, and error correction.
[ { "version": "v1", "created": "Wed, 17 Nov 1999 20:33:47 GMT" }, { "version": "v2", "created": "Tue, 8 Feb 2000 00:05:10 GMT" }, { "version": "v3", "created": "Tue, 16 May 2000 22:41:16 GMT" } ]
2009-10-31T00:00:00
[ [ "Hu", "Xuedong", "" ], [ "Sarma", "S. Das", "" ] ]
quant-ph/9911081
Mikhail Sergeenko
M. N. Sergeenko
Relativistic semiclassical wave equation and its solution
12 pages, LaTex
Modern Physics Letters A Vol. 12, No. 37, pp. 2859-2871 (1997)
10.1142/S0217732397002983
null
quant-ph
null
The properties of relativistic particles in the quasiclassical region are investigated. The relativistic semiclassical wave equation appropriate in the quasiclassical region is derived. It is shown that the leading-order WKB quantization rule is the appropriate method to solve the equation obtained.
[ { "version": "v1", "created": "Thu, 18 Nov 1999 17:39:01 GMT" } ]
2016-02-17T00:00:00
[ [ "Sergeenko", "M. N.", "" ] ]
quant-ph/9911082
Ashish Ahuja
Ashish Ahuja, Sanjiv Kapoor
A Quantum Algorithm for finding the Maximum
TeX v3.2, 5 pages
null
null
null
quant-ph
null
This paper describes a quantum algorithm for finding the maximum among N items. The classical method for the same problem takes O(N) steps because we need to compare two numbers in one step. This algorithm takes O(sqrt(N)) steps by exploiting the property of quantum states to exist in a superposition of states and hence performing an operation on a number of elements in one go. A tight upper bound of 6.8(sqrt(N)) for the number of steps needed using this algorithm was found. These steps are the number of queries made to the oracle.
[ { "version": "v1", "created": "Thu, 18 Nov 1999 08:39:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Ahuja", "Ashish", "" ], [ "Kapoor", "Sanjiv", "" ] ]
quant-ph/9911083
Nicola Manini
Nicola Manini and Fabio Pistolesi
Off-Diagonal Geometric Phases
5 pages 2 figures - RevTeX. Revised version including geometrical interpretation
Phys. Rev. Lett. 85, 3067 (2000)
10.1103/PhysRevLett.85.3067
null
quant-ph cond-mat
null
We investigate the adiabatic evolution of a set of non-degenerate eigenstates of a parameterized Hamiltonian. Their relative phase change can be related to geometric measurable quantities that extend the familiar concept of Berry phase to the evolution of more than one state. We present several physical systems where these concepts can be applied, including an experiment on microwave cavities for which off-diagonal phases can be determined from published data.
[ { "version": "v1", "created": "Thu, 18 Nov 1999 14:55:20 GMT" }, { "version": "v2", "created": "Tue, 4 Jul 2000 14:57:05 GMT" } ]
2009-10-31T00:00:00
[ [ "Manini", "Nicola", "" ], [ "Pistolesi", "Fabio", "" ] ]
quant-ph/9911084
Thomas L. Cooper
Thomas L. Cooper
Dynamic Rules for Decoherence
9 pages, 2 figures. [email protected]
null
null
null
quant-ph
null
In orthodox quantum theory, decoherence is presumed to be caused by observation. In this paper, the idea of replacing observation, as the cause of decoherence, with rules derived from the dynamics of the system is addressed. Such rules determine the timing of decoherence and the states in the mixture afterward. For instance, energy conservation during decohenence, for each possible transition, leads to a timing rule. Exponetial decay and ergodic behavior follow directly from the dynamic rules as do Boltzman's postulate of equally probable micro-states and the Pauli rate equations. Ergodic behavior in mesoscopic systems is predicted and those preditions are strikingly similar to behavior observed in at least two laboratories.
[ { "version": "v1", "created": "Thu, 18 Nov 1999 22:37:08 GMT" }, { "version": "v2", "created": "Fri, 31 Dec 1999 22:29:41 GMT" }, { "version": "v3", "created": "Tue, 1 Feb 2000 23:06:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Cooper", "Thomas L.", "" ] ]
quant-ph/9911085
Sergio de Filippo
Sergio De Filippo
Withdrawn paper
Only craziness I am ashamed about
null
null
null
quant-ph nucl-th
null
Only craziness I am ashamed about.
[ { "version": "v1", "created": "Thu, 18 Nov 1999 22:36:18 GMT" }, { "version": "v2", "created": "Wed, 24 Nov 1999 21:27:00 GMT" }, { "version": "v3", "created": "Fri, 3 Dec 1999 21:44:44 GMT" }, { "version": "v4", "created": "Sun, 19 Dec 1999 16:49:26 GMT" }, { "version": "v5", "created": "Mon, 26 Sep 2011 16:42:06 GMT" } ]
2011-09-27T00:00:00
[ [ "De Filippo", "Sergio", "" ] ]
quant-ph/9911086
Anthony Chefles
Anthony Chefles
Deterministic Quantum State Transformations
Minor cosmetic changes
null
10.1016/S0375-9601(00)00291-7
null
quant-ph
null
We derive a necessary condition for the existence of a completely-positive, linear, trace-preserving map which deterministically transforms one finite set of pure quantum states into another. This condition is also sufficient for linearly-independent initial states. We also examine the issue of quantum coherence, that is, when such operations maintain the purity of superpositions. If, in any deterministic transformation from one linearly-independent set to another, even a single, complete superposition of the initial states maintains its purity, the initial and final states are related by a unitary transformation.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 13:39:50 GMT" }, { "version": "v2", "created": "Wed, 8 Dec 1999 17:11:47 GMT" }, { "version": "v3", "created": "Tue, 7 Mar 2000 14:59:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Chefles", "Anthony", "" ] ]
quant-ph/9911087
Alexander Shumovsky
Alexander S. Shumovsky and Alexander A. Klyachko
Radiation of a quantum localized source
4pages
null
null
null
quant-ph
null
New effective operators, describing the photons with given polarization at given position with respect to a source are proposed. These operators can be used to construct the near and intermediate zones quantum optics. It is shown that the use of the conventional plane photons can lead to a wrong results for quantum fluctuations of polarization even in the far zone.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 15:40:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Shumovsky", "Alexander S.", "" ], [ "Klyachko", "Alexander A.", "" ] ]
quant-ph/9911088
Inigo L. Egusquiza
A. D. Baute, I. L. Egusquiza, J. G. Muga and R. Sala-Mayato
Time-of-arrival distributions from position-momentum and energy-time joint measurements
null
Phys. Rev. A 61, 052111 (2000)
10.1103/PhysRevA.61.052111
EHU-FT/9913
quant-ph
null
The position-momentum quasi-distribution obtained from an Arthurs and Kelly joint measurement model is used to obtain indirectly an ``operational'' time-of-arrival (TOA) distribution following a quantization procedure proposed by Kocha\'nski and W\'odkiewicz [Phys. Rev. A 60, 2689 (1999)]. This TOA distribution is not time covariant. The procedure is generalized by using other phase-space quasi-distributions, and sufficient conditions are provided for time covariance that limit the possible phase-space quasi-distributions essentially to the Wigner function, which, however, provides a non-positive TOA quasi-distribution. These problems are remedied with a different quantization procedure which, on the other hand, does not guarantee normalization. Finally an Arthurs and Kelly measurement model for TOA and energy (valid also for arbitrary conjugate variables when one of the variables is bounded from below) is worked out. The marginal TOA distribution so obtained, a distorted version of Kijowski's distribution, is time covariant, positive, and normalized.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 18:47:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Baute", "A. D.", "" ], [ "Egusquiza", "I. L.", "" ], [ "Muga", "J. G.", "" ], [ "Sala-Mayato", "R.", "" ] ]
quant-ph/9911089
Mikhail Sergeenko
M.N. Sergeenko
Quantum fluctuations of the angular momentum and energy of the ground state
5 pages, LaTex
Modern Physics Letters A Vol. 13, No. 01, pp. 33-37 (1998)
10.1142/S0217732398000061
null
quant-ph
null
Quasiclassical solution of the three-dimensional Schredinger's equation is given. The existence of nonzero minimal angular momentum M_0 = \hbar /2 is shown, which corresponds to the quantum fluctuations of the angular momentum and contributes to the energy of the ground state.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 18:22:47 GMT" } ]
2016-02-17T00:00:00
[ [ "Sergeenko", "M. N.", "" ] ]
quant-ph/9911090
Dr. Arun Kumar Pati
Arun Kumar Pati and Samuel L. Braunstein
Impossibility of deleting an unknown quantum state
4 Pages, (Published version Nature, 404 (2000) 164)
Nature, 404: 164 (2000)
10.1038/35004532
null
quant-ph
null
A photon in an arbitrary polarization state cannot be cloned perfectly. But suppose that at our disposal we have several copies of an unknown photon. Is it possible to delete the information content of one or more of these photons by a physical process? Specifically, if two photons are in the same initial polarization state is there a mechanism that produces one photon in the same initial state and the other in some standard polarization state. If this can be done, then one would create a standard blank state onto which one could copy an unknown state approximately, by deterministic cloning or exactly, by probabilistic cloning. This might be useful in quantum computation, where one could store some new information in an already computed state by deleting the old information. Here we show that the linearity of quantum theory does not allow us to delete a copy of an arbitrary quantum state perfectly. Though in a classical computer information can be deleted against a copy, the same task cannot be accomplished with quantum information.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 19:55:36 GMT" }, { "version": "v2", "created": "Mon, 31 Jul 2000 18:01:40 GMT" } ]
2017-05-10T00:00:00
[ [ "Pati", "Arun Kumar", "" ], [ "Braunstein", "Samuel L.", "" ] ]
quant-ph/9911091
Josephine Bolosan
S. Pakvasa, W. Simmons and X. Tata
Relativistic Quantum Computing
8 pages, Latex format, no figures
null
null
UH-511-946-99
quant-ph
null
We present some informal remarks on aspects of relativistic quantum computing.
[ { "version": "v1", "created": "Fri, 19 Nov 1999 23:20:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Pakvasa", "S.", "" ], [ "Simmons", "W.", "" ], [ "Tata", "X.", "" ] ]
quant-ph/9911092
Ilki Kim
Ilki Kim, Guenter Mahler
Quantum chaos in small quantum networks
Accepted for publication in JMO (quantum information special issue, Vol 47), 3 figures
null
10.1080/09500340008244035
null
quant-ph
null
We study a 2-spin quantum Turing architecture, in which discrete local rotations \alpha_m of the Turing head spin alternate with quantum controlled NOT-operations. We show that a single chaotic parameter input \alpha_m leads to a chaotic dynamics in the entire Hilbert space. The instability of periodic orbits on the Turing head and `chaos swapping' onto the Turing tape are demonstrated explicitly as well as exponential parameter sensitivity of the Bures metric.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 03:50:02 GMT" } ]
2015-06-26T00:00:00
[ [ "Kim", "Ilki", "" ], [ "Mahler", "Guenter", "" ] ]
quant-ph/9911093
Michael Martin Nieto
Michael Martin Nieto and D. Rodney Truax
Schr\"odinger equations with time-dependent P^2 and X^2 terms
LaTeX, 21 pages including one table. Minor changes noted and suggested by the referee
null
null
LA-UR-99-219
quant-ph
null
We present some general results for the time-dependent mass Hamiltonian problem with H=-{1/2}e^{-2\nu}\partial_{xx} +h^{(2)}(t)e^{2\nu}x^2. This Hamiltonian corresponds to a time-dependent mass (TM) Schr\"odinger equation with the restriction that there are only P^2 and X^2 terms. We give the specific transformations to a different quantum Schr\"odinger(TQ) equation and to a different time-dependent oscillator (TO) equation. For each Schr\"odinger system, we give the Lie algebra of space-time symmetries and (x,t) representations for number states, coherent states, and squeezed states. These general results include earlier work as special cases.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 04:07:05 GMT" }, { "version": "v2", "created": "Tue, 22 Feb 2000 03:38:50 GMT" }, { "version": "v3", "created": "Mon, 21 Jan 2002 04:32:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]
quant-ph/9911094
Michael Martin Nieto
Michael Martin Nieto and D. Rodney Truax
The Schr\"odinger system H=-{1/2}e^{\Upsilon(t-t_o)}\partial_{xx} +\lfrac{1}{2}\omega^2e^{-\Upsilon(t-t_o)}x^2
Latex, 24 pages, including 3 figures and 8 tables. New title and format for journal. Conclusion added
Ann. Phys. 292 (2001) 1
10.1006/aphy.2001.6144
LA-UR-99-482
quant-ph
null
In this paper, we attack the specific time-dependent Hamiltonian problem H=-{1/2}e^{\Upsilon(t-t_o)}\partial_{xx} +\lfrac{1}{2}\omega^2e^{-\Upsilon(t-t_o)}x^2. This corresponds to a time-dependent mass (TM) Schr\"odinger equation. We give the specific transformations to i) the more general quadratic (TQ) Schr\"odinger equation and to ii) a different time-dependent oscillator (TO) equation. For each Schr\"odinger system, we give the Lie algebra of space-time symmetries, the number states, the coherent states, the squeezed-states and the time-dependent <x>, <p>, (\Delta x)^2, (\Delta p)^2, and uncertainty product.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 04:24:51 GMT" }, { "version": "v2", "created": "Tue, 22 Feb 2000 04:04:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]
quant-ph/9911095
Michael Martin Nieto
Michael Martin Nieto and D. Rodney Truax
The Schr\"odinger system H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) \omega^2 (t/t_o)^b x^2
LaTeX, 26 pages, including 3 figures and 13 tables. New title and format for journal. Conclusion added
Ann. Phys. 292 (2001) 23
10.1006/aphy.2001.6145
LA-UR-99-3835
quant-ph
null
We attack the specific time-dependent Hamiltonian problem H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) \omega^2 (t/t_o)^b x^2. This corresponds to a time-dependent mass (TM) Schr\"odinger equation. We give the specific transformations to a different time-dependent quadratic Schr\"odinger equations (TQ) and to a different time-dependent oscillator (TO) equation. For each Schr\"odinger system, we give the Lie algebra of space-time symmetries, the number states, the squeezed-state <x> and <p> (with their classical motion), (\Delta x)^2, (\Delta p)^2, and the uncertainty product.
[ { "version": "v1", "created": "Sat, 20 Nov 1999 04:41:30 GMT" }, { "version": "v2", "created": "Tue, 22 Feb 2000 04:21:51 GMT" }, { "version": "v3", "created": "Mon, 21 Jan 2002 17:39:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]
quant-ph/9911096
Tuck Choy
T.C. Choy
The Van der Waals interaction of the hydrogen molecule - an exact local energy density functional
11 pages, 13 figures and 28 references
Physical Review A vol 62 12506 (2000)
10.1103/PhysRevA.62.012506
null
quant-ph cond-mat.str-el physics.atm-clus physics.chem-ph
null
We verify that the van der Waals interaction and hence all dispersion interactions for the hydrogen molecule given by: W"= -{A/R^6}-{B/R^8}-{C/R^10}- ..., in which R is the internuclear separation, are exactly soluble. The constants A=6.4990267..., B=124.3990835 ... and C=1135.2140398... (in Hartree units) first obtained approximately by Pauling and Beach (PB) [1] using a linear variational method, can be shown to be obtainable to any desired accuracy via our exact solution. In addition we shall show that a local energy density functional can be obtained, whose variational solution rederives the exact solution for this problem. This demonstrates explicitly that a static local density functional theory exists for this system. We conclude with remarks about generalising the method to other hydrogenic systems and also to helium.
[ { "version": "v1", "created": "Mon, 22 Nov 1999 08:42:00 GMT" }, { "version": "v2", "created": "Fri, 26 Nov 1999 03:40:46 GMT" } ]
2011-08-05T00:00:00
[ [ "Choy", "T. C.", "" ] ]
quant-ph/9911097
A. K. Rajagopal
Sumiyoshi Abe (1) and A. K. Rajagopal (2) ((1)College of Science and Technology, Nihon University, Funabashi, Chiba, Japan, (2)Naval Research Laboratory, Washington, D.C.)
Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis
13 pages; This is a thoroughly revised version of the original preprint which has now appearted in print. It also corrects several errors and misstatements in the published version. The main conclusions of the paper however remain intact
Phys. Lett. A272, 341 (2000)
10.1016/S0375-9601(00)00458-8
null
quant-ph cond-mat.stat-mech
null
Given physical systems, counting rule for their statistical mechanical descriptions need not be unique, in general. It is shown that this nonuniqueness leads to the existence of various canonical ensemble theories which equally arise from the definite microcanonical basis. Thus, the Gibbs theorem for canonical ensemble theory is not universal, and the maximum entropy principle is to be appropriately modefied for each physical context.
[ { "version": "v1", "created": "Mon, 22 Nov 1999 12:46:26 GMT" }, { "version": "v2", "created": "Wed, 25 Oct 2000 17:04:22 GMT" } ]
2009-10-31T00:00:00
[ [ "Abe", "Sumiyoshi", "" ], [ "Rajagopal", "A. K.", "" ] ]
quant-ph/9911098
Aurel Bulgac
Aurel Bulgac, Giu Do Dand and Dimitri Kusnezov
Dynamics of Complex Quantum Systems: Dissipation and Kinetic Equations
7 pages, Elsevier style file espcrc2.sty
Physica E9 (2001) 429-435
10.1016/S1386-9477(00)00240-X
null
quant-ph cond-mat.stat-mech nucl-th
null
We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is modeled by means of parametric banded random matrices coupled to the subsystem of interest. We do not assume the weak coupling limit and allow for an independent dynamics of the ``reservoir''. We discuss the reasons for having a new theoretical approach and the new elements introduced by us. The present approach incorporates known limits and previous results, but at the same time includes new cases, previously never derived on a microscopic level. We briefly discuss the kinetic equation and its solution for a particle in the absence of an external field.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 00:22:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Bulgac", "Aurel", "" ], [ "Dand", "Giu Do", "" ], [ "Kusnezov", "Dimitri", "" ] ]
quant-ph/9911099
Alex Moroz
Alexander Moroz
A remark on the isotropic model
3 pages, plain latex. $\eta$ in the LDOS asymptotics near a band-edge is universal in one dimension. For more info on this subject see http://www.amolf.nl/research/photonic_materials_theory/moroz/moroz.html
null
null
null
quant-ph
null
The applicability of the so-called isotropic and anisotropic complete photonic-band-gap (CPBG) models [S. John and J. Wang, Phys. Rev. Lett. {\bf 64}, 2418 (1990)] to capture essential features of the spontaneous emission (SE) of a fluorescent atom or molecule near a band-gap-edge of a CPBG structure is discussed.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 17:05:38 GMT" }, { "version": "v2", "created": "Thu, 10 Feb 2000 15:01:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Moroz", "Alexander", "" ] ]
quant-ph/9911100
David Vitali
R. Bonifacio, S. Olivares, P. Tombesi, and D. Vitali
A model independent approach to non dissipative decoherence
12 pages, 3 figures
Phys. Rev. A 61 053802 (2000)
10.1103/PhysRevA.61.053802
null
quant-ph
null
We consider the case when decoherence is due to the fluctuations of some classical variable or parameter of a system and not to its entanglement with the environment. Under few and quite general assumptions, we derive a model-independent formalism for this non-dissipative decoherence, and we apply it to explain the decoherence observed in some recent experiments in cavity QED and on trapped ions.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 17:38:11 GMT" }, { "version": "v2", "created": "Wed, 24 Nov 1999 12:26:28 GMT" }, { "version": "v3", "created": "Fri, 14 Jan 2000 15:14:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Bonifacio", "R.", "" ], [ "Olivares", "S.", "" ], [ "Tombesi", "P.", "" ], [ "Vitali", "D.", "" ] ]
quant-ph/9911101
Chi-Keung Chow
Chi-Keung Chow and Thomas D. Cohen
Quantum Coins, Dice and Children: Probability and Quantum Statistics
8 pages in REVTeX
Am.J.Phys. 68 (2000) 829-834
10.1119/1.1302821
DOE/ER/40762-187, UMD PP#00-003
quant-ph cond-mat.stat-mech hep-ph nucl-th physics.ed-ph
null
We discuss counterintuitive aspects of probabilities for systems of identical particles obeying quantum statistics. Quantum coins and children (two level systems) and quantum dice (many level systems) are used as examples. It is emphasized that, even in the absence of interactions, (anti)symmetrizations of multi-particle wavefunctions destroy statistical independences and often lead to dramatic departures from our intuitive expectations.
[ { "version": "v1", "created": "Tue, 23 Nov 1999 23:11:25 GMT" }, { "version": "v2", "created": "Mon, 14 Feb 2000 17:18:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Chow", "Chi-Keung", "" ], [ "Cohen", "Thomas D.", "" ] ]
quant-ph/9911102
Akira Shimizu
Akira Shimizu
A Fundamental Limit of Measurement Imposed by the Elementary Interactions
10 pages including 1 figure. Proc. 3rd Tohwa Univ. Int. Conf. Statistical Physics (Fukuoka, Japan, 1999) to be published from AIP
Statistical Physics (ed. M. Tokuyama and H.E. Stanley, AIP 2000) pp. 611-620.
10.1063/1.1291630
null
quant-ph chao-dyn cond-mat.stat-mech nlin.CD
null
Quantum information theory is closely related to quantum measurement theory because one must perform measurement to obtain information on a quantum system. Among many possible limits of quantum measurement, the simplest ones were derived directly from the uncertainty principles. However, such simple limits are not the only limits. I here suggest a new limit which comes from the forms and the strengths of the elementary interactions. Namely, there are only four types of elementary interactions in nature; their forms are determined by the gauge invariance (and symmetry breaking), and their coupling constants (in the low-energy regime) have definite values. I point out that this leads to a new fundamental limit of quantum measurements. Furthermore, this fundamental limit imposes the fundamental limits of getting information on, preparing, and controlling quantum systems.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 06:00:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Shimizu", "Akira", "" ] ]
quant-ph/9911103
Piotr Deuar
P. Deuar and W. J. Munro
Improving Detectors Using Entangling Quantum Copiers
4 pages, 2 figures, REVTeX, to be published in Phys. Rev. A
Phys. Rev A. 61, 10306R, (1999)
10.1103/PhysRevA.61.010306
null
quant-ph
null
We present a detection scheme which using imperfect detectors, and imperfect quantum copying machines (which entangle the copies), allows one to extract more information from an incoming signal, than with the imperfect detectors alone.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 06:29:35 GMT" } ]
2009-10-31T00:00:00
[ [ "Deuar", "P.", "" ], [ "Munro", "W. J.", "" ] ]
quant-ph/9911104
Rajkumar Roychoudhury
B.Bagchi and R.Roychoudhury
A new PT symmetric complex Hamiltonian with a real spectra
null
null
10.1088/0305-4470/33/1/101
null
quant-ph
null
We construct an isospectrum systems in terms of a real and complex potential to show that the underlying PT symmetric Hamiltonian possesses a real spectrum which is shared by its real partner.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 07:26:08 GMT" } ]
2009-10-31T00:00:00
[ [ "Bagchi", "B.", "" ], [ "Roychoudhury", "R.", "" ] ]
quant-ph/9911105
Mayburov S. N.
S.Mayburov (Lebedev Inst. of Physics, Moscow, Russia)
Quantum Information, Irreversibility and State Collapse in Some Microscopic Models of Measurement
15 pages, Latex, Talk given at 'Decoherence and entanglement' Conference, Garda, Italy, September 1999, to appear in Proceedings
null
null
null
quant-ph
null
The quantum measurement problem considered for measuring system (MS) model which consist of measured state S (particle), detector D and information processing device O. For spin chains and other O models the state evolution for MS observables measurements studied. It's shown that specific O states structure forbids the measurement of MS interference terms which discriminate pure and mixed S states. It results in the reduction MS Hilbert space to O representation in which MS evolution is irreversible, which in operational formalism corresponds to S state collapse. In radiation decoherence O model Glauber restrictions on QED field observables results in analogous irreversible MS + field evolution. The results interpretation in Quantum Information framework and Rovelli Relational Quantum Mechanics discussed.
[ { "version": "v1", "created": "Wed, 24 Nov 1999 15:42:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Mayburov", "S.", "", "Lebedev Inst. of Physics, Moscow, Russia" ] ]
quant-ph/9911106
Abel Camacho Quintana
Abel Camacho (Astrophysikalishes Institut Potsdam)
Quantum nondemolition measurements of a particle in an inhomogeneous gravitational field
Contribution in honour of Heinz Dehnen's 65 birthday. 3 new references, minor changes. Accepted in General Relativity and Gravitation
Gen.Rel.Grav. 33 (2001) 901-911
10.1023/A:1010264009752
null
quant-ph gr-qc
null
In this work we obtain a family of quantum nondemolition variables for the case of a particle moving in an inhomogeneous gravitational field. Afterwards, we calculate the corresponding propagator, and deduce the probabilitites associated with the possible measurements outputs. The comparison, with the case in which the position is being monitored, will allow us to find the differences with respect to the case of a quantum demolition measuring process.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 13:03:16 GMT" }, { "version": "v2", "created": "Thu, 15 Jun 2000 13:42:34 GMT" } ]
2015-06-26T00:00:00
[ [ "Camacho", "Abel", "", "Astrophysikalishes Institut Potsdam" ] ]
quant-ph/9911107
Andrei Kirilyuk
Andrei P. Kirilyuk
75 Years of Matter Wave: Louis de Broglie and Renaissance of the Causally Complete Knowledge
28 pages, 25 eqs, 47 refs; Dedicated to the 75th Anniversary of matter wave appearance in the Ph.D. thesis defended by Louis de Broglie in Paris 25 November 1924; Reviews a part of the author's book "Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge" (Kyiv, Naukova Dumka, 1997 ; in English), see physics/9806002; new text format, stylistic corrections in v2
null
null
null
quant-ph physics.hist-ph
null
A physically real wave associated with any moving particle and travelling in a surrounding material medium was introduced by Louis de Broglie in a series of short notes in 1923 and in a more complete form in his thesis defended in Paris on the 25th November 1924. This result, recognised by the Nobel Prize in 1929, gave rise to a major direction of "new physics" known today as "quantum mechanics". However, although such notions as "de Broglie wavelength" and "wave-particle duality" form the basis of the standard quantum theory, it actually only takes for granted (postulates) the formula for the particle wavelength and totally ignores the underlying causal, realistic and physically transparent picture of wave-particle dynamics outlined by Louis de Broglie in his thesis and further considerably developed in his later works, in the form of "double solution" and "hidden thermodynamics" theory. A price to pay for such rough deviation from the original de Broglian realism and consistency involves fundamental physics domination by purely abstract and mechanistically simplified schemes of formal symbols and rules that have led to a deep knowledge impasse justly described as "the end of science". However, a new, independent approach of "quantum field mechanics" (quant-ph/9902015, quant-ph/9902016, physics/0401164) created within the "universal science of complexity" (physics/9806002) provides many-sided confirmation and natural completion of de Broglie's "nonlinear wave mechanics", eliminating all its "difficult points" and reconstituting the causally complete, totally consistent and intrinsically unified picture of the real, complex micro-world dynamics directly extendible to all higher levels of unreduced world complexity.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 14:32:15 GMT" }, { "version": "v2", "created": "Thu, 25 Nov 2004 19:42:43 GMT" } ]
2009-09-25T00:00:00
[ [ "Kirilyuk", "Andrei P.", "" ] ]
quant-ph/9911108
null
Victor Novozhilov and Yuri Novozhilov (St.Petersburg State University)
Collective variables and composite fields
12 pages, Latex, to be published in the Proceedings of the Conference "Probability and Irreversibility in Quantum Mechanics", 5-9 July 1999, Fondation des Treilles, France
null
null
null
quant-ph
null
We consider use of collective variables for description of composite fields as collective phenomena due to the strong coupling regime. We discuss two approaches, where identification of collective variables of complex quantum system does not depend on knowledge of other degrees of freedom: (a) collective variables as parameters of group transformations changing the path integral of the system, and (b) collective variables as background fields for quantum system. In the case (a) we briefly present an approach. In the case (b) we consider fermions in an external scalar field, which serves as a collective variable in a nonlinear model for composite scalar field with a finite compositeness scale.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 16:49:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Novozhilov", "Victor", "", "St.Petersburg State University" ], [ "Novozhilov", "Yuri", "", "St.Petersburg State University" ] ]
quant-ph/9911109
Wolfgang Tittel
W. Tittel, J. Brendel, H. Zbinden, and N. Gisin
Quantum Cryptography using entangled photons in energy-time Bell states
4 pages including 2 figures
null
10.1103/PhysRevLett.84.4737
null
quant-ph
null
We present a setup for quantum cryptography based on photon pairs in energy-time Bell states and show its feasability in a laboratory experiment. Our scheme combines the advantages of using photon pairs instead of faint laser pulses and the possibility to preserve energy-time entanglement over long distances. Moreover, using 4-dimensional energy-time states, no fast random change of bases is required in our setup : Nature itself decides whether to measure in the energy or in the time base.
[ { "version": "v1", "created": "Thu, 25 Nov 1999 18:05:00 GMT" } ]
2009-10-31T00:00:00
[ [ "Tittel", "W.", "" ], [ "Brendel", "J.", "" ], [ "Zbinden", "H.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/9911110
Valeri Dvoeglazov
Valeri V. Dvoeglazov (Zacatecas University)
Comment on the "Maxwell Equations as the One-Photon Quantum Equation" by A. Gersten [Found. Phys. Lett. 12, pp. 291-298 (1999)]
ReVTeX style. 10pp., see quant-ph/9911049
J. Phys. A: Math. Gen. 33 (2000) 5011-5016 (revised version)
10.1088/0305-4470/33/28/305
EFUAZ FT-99-78
quant-ph
null
We show that the Gersten derivation of Maxwell equations can be generalized. It actually leads to additional solutions of `S=1 equations'. They follow directly from previous considerations by Majorana, Oppenheimer, Weinberg and Ogievetskii and Polubarinov. Therefore, {\it generalized} Maxwell equations should be used as a guideline for proper interpretations of quantum theories.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 02:39:06 GMT" } ]
2009-10-31T00:00:00
[ [ "Dvoeglazov", "Valeri V.", "", "Zacatecas University" ] ]
quant-ph/9911111
Giovanna Morigi
G. Morigi, G.S. Agarwal
Temperature Variation of Ultra Slow Light in a Cold Gas
12 pages, 4 figures
Phys. Rev. A 62, 013801 (2000)
10.1103/PhysRevA.62.013801
null
quant-ph
null
A model is developed to explain the temperature dependence of the group velocity as observed in the experiments of Hau et al (Nature {\bf397}, 594 (1999)). The group velocity is quite sensitive to the change in the spatial density. The inhomogeneity in the density and its temperature dependence are primarily responsible for the observed behavior.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 09:21:23 GMT" } ]
2010-03-30T00:00:00
[ [ "Morigi", "G.", "" ], [ "Agarwal", "G. S.", "" ] ]
quant-ph/9911112
Igor Bargatin
I. V. Bargatin, B. A. Grishanin, and V. N. Zadkov
Analysis of radiatively stable entanglement in a system of two dipole-interacting three-level atoms
Replaced with the final version; 14 pages, 6 figures; to appear in Phys. Rev. A, vol. 61 (2000)
null
10.1103/PhysRevA.61.052305
null
quant-ph
null
We explore the possibilities of creating radiatively stable entangled states of two three-level dipole-interacting atoms in a $\Lambda$ configuration by means of laser biharmonic continuous driving or pulses. We propose three schemes for generation of entangled states which involve only the lower states of the $\Lambda$ system, not vulnerable to radiative decay. Two of them employ coherent dynamics to achieve entanglement in the system, whereas the third one uses optical pumping, i.e., an essentially incoherent process.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 13:58:11 GMT" }, { "version": "v2", "created": "Sun, 28 Nov 1999 12:58:58 GMT" }, { "version": "v3", "created": "Thu, 16 Mar 2000 10:54:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Bargatin", "I. V.", "" ], [ "Grishanin", "B. A.", "" ], [ "Zadkov", "V. N.", "" ] ]
quant-ph/9911113
Arkadiusz Jadczyk
Ph. Blanchard, A. Jadczyk, A. Ruschhaupt
How Events Come Into Being: EEQT, Particle Tracks, Quantum Chaos, and Tunneling Time
latex, 27 pages, 7 postscript figures. Paper submitted to Proc. Conference "Mysteries, Puzzles And Paradoxes In Quantum Mechanics, Workshop on Entanglement And Decoherence, Palazzo Feltrinelli, Gargnano, Garda Lake, Italy, 20-25 September, 1999
in "Mysteries, Puzzles and Paradoxes in Quantum Mechanics", Rodolfo Bonifacio, Ed., Woodbury, NY: American Institute of Physics, 1999, [AIP Conference Proceedings, no. 461], J. Mod. Opt. 47 (2000), 2247-2263
10.1080/09500340008235146
null
quant-ph chao-dyn nlin.CD
null
In sections 1 and 2 we review Event Enhanced Quantum Theory (EEQT). In section 3 we discuss applications of EEQT to tunneling time, and compare its quantitative predictions with other approaches, in particular with B\"uttiker-Larmor and Bohm trajectory approach. In section 4 we discuss quantum chaos and quantum fractals resulting from simultaneous continuous monitoring of several non-commuting observables. In particular we show self-similar, non-linear, iterated function system-type, patterns arising from quantum jumps and from the associated Markov operator. Concluding remarks pointing to possible future development of EEQT are given in section 5.
[ { "version": "v1", "created": "Fri, 26 Nov 1999 19:43:55 GMT" } ]
2015-06-26T00:00:00
[ [ "Blanchard", "Ph.", "" ], [ "Jadczyk", "A.", "" ], [ "Ruschhaupt", "A.", "" ] ]
quant-ph/9911114
Xiao-Guang Wang
Xiao-Guang Wang
Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space
19 pages, no figures
J.Opt.BQuant.Semiclass.Opt.2:534-540,2000
10.1088/1464-4266/2/4/312
null
quant-ph
null
We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalisms and have the generally deformed oscillator algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states may also have a generally deformed oscillator algebraic structure. Some interesting examples of one-photon and two-photon quantum states are given.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 02:16:39 GMT" }, { "version": "v2", "created": "Sun, 30 Apr 2000 13:54:56 GMT" } ]
2008-11-26T00:00:00
[ [ "Wang", "Xiao-Guang", "" ] ]
quant-ph/9911115
Bassano Vacchini
L. Lanz, B. Vacchini
Time scales in quantum mechanics by a scattering map
10 pages, latex, no figures
Int.J.Theor.Phys. 37 (1998) 545-553
null
null
quant-ph
null
Inside quantum mechanics the problem of decoherence for an isolated, finite system is linked to a coarse-grained description of its dynamics.
[ { "version": "v1", "created": "Mon, 29 Nov 1999 14:10:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Lanz", "L.", "" ], [ "Vacchini", "B.", "" ] ]