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quant-ph/9907003
Noah Linden
Noah Linden, Eriks Kupce, Ray Freeman
NMR Quantum Logic Gates for Homonuclear Spin Systems
11 pages LaTeX plus 6 figs
null
10.1016/S0009-2614(99)00829-5
null
quant-ph
null
If NMR systems are to be used as practical quantum computers, the number of coupled spins will need to be so large that it is not feasible to rely on purely heteronuclear spin systems. The implementation of a quantum logic gate imposes certain constraints on the motion of those spins not directly involved in that gate, the so-called "spectator" spins; they must be returned to their initial states at the end of the sequence. As a result, a homonuclear spin system where there is appreciable coupling between every pair of spins would seem to require a refocusing scheme that doubles in complexity and duration for every additional spectator spin. Fortunately, for the more realistic practical case where long-range spin-spin couplings can be neglected, simpler refocusing schemes can be devised where the overall duration of the sequence remains constant and the number of soft pulses increases only linearly with the number of spectator spins. These ideas are tested experimentally on a six qubit system: the six coupled protons of inosine.
[ { "version": "v1", "created": "Thu, 1 Jul 1999 15:23:24 GMT" } ]
2009-10-31T00:00:00
[ [ "Linden", "Noah", "" ], [ "Kupce", "Eriks", "" ], [ "Freeman", "Ray", "" ] ]
quant-ph/9907004
Jerry Finkelstein
J. Finkelstein (LBNL and SJSU)
Quantum Probability from Decision Theory?
LaTeX, 5 pages, no figures
null
null
SJSU/TP-99-20
quant-ph
null
Deutsch has recently (in quant-ph/9906015) offered a justification, based only on the non-probabilistic axioms of quantum theory and of classical decision theory, for the use of the standard quantum probability rules. In this note, this justification is examined.
[ { "version": "v1", "created": "Thu, 1 Jul 1999 18:37:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Finkelstein", "J.", "", "LBNL and SJSU" ] ]
quant-ph/9907005
Armen G. Grigoryan
A.S.Gevorkyan, A.A.Udalov
Randomly Walking 1D Quantum Harmonic Oscillator. Averaged Transition Probabilities
LaTeX, SPROCL.STY required, presented on 3rd Int. Workshop "Quantum Systems: New Trends & Methods" (Minsk, Belarus)
null
null
null
quant-ph
null
One-dimensional problem for quantum harmonic oscillator with "regular+random" frequency subjected to the external "regular+random" force is considered. Averaged transition probabilities are found.
[ { "version": "v1", "created": "Thu, 1 Jul 1999 19:40:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Gevorkyan", "A. S.", "" ], [ "Udalov", "A. A.", "" ] ]
quant-ph/9907006
Nicolas Gisin
Andr\'e Stefanov, Nicolas Gisin, Olivier Guinnard, Laurent Guinnard, Hugo Zbinden
Optical Quantum Random Number Generator
3 pages + 1 figure
J. Modern Optics, 47, 595-598, 2000
10.1080/09500340008233380
null
quant-ph
null
A physical random number generator based on the intrinsic randomness of quantum mechanics is described. The random events are realized by the choice of single photons between the two outputs of a beamsplitter. We present a simple device, which minimizes the impact of the photon counters' noise, dead-time and after pulses.
[ { "version": "v1", "created": "Fri, 2 Jul 1999 08:21:02 GMT" } ]
2015-06-26T00:00:00
[ [ "Stefanov", "André", "" ], [ "Gisin", "Nicolas", "" ], [ "Guinnard", "Olivier", "" ], [ "Guinnard", "Laurent", "" ], [ "Zbinden", "Hugo", "" ] ]
quant-ph/9907007
Richard Jozsa
Graeme Mitchison and Richard Jozsa
Counterfactual Computation
19 pages. LaTex, 2 figures. Revised version has some new sections and expanded explanations
Proc.Roy.Soc.Lond. A457 (2001) 1175-1194
10.1098/rspa.2000.0714
null
quant-ph
null
Suppose that we are given a quantum computer programmed ready to perform a computation if it is switched on. Counterfactual computation is a process by which the result of the computation may be learnt without actually running the computer. Such processes are possible within quantum physics and to achieve this effect, a computer embodying the possibility of running the computation must be available, even though the computation is, in fact, not run. We study the possibilities and limitations of general protocols for the counterfactual computation of decision problems (where the result r is either 0 or 1). If p(r) denotes the probability of learning the result r ``for free'' in a protocol then one might hope to design a protocol which simultaneously has large p(0) and p(1). However we prove that p(0)+p(1) never exceeds 1 in any protocol and we derive further constraints on p(0) and p(1) in terms of N, the number of times that the computer is not run. In particular we show that any protocol with p(0)+p(1)=1-epsilon must have N tending to infinity as epsilon tends to 0. These general results are illustrated with some explicit protocols for counterfactual computation. We show that "interaction-free" measurements can be regarded as counterfactual computations, and our results then imply that N must be large if the probability of interaction is to be close to zero. Finally, we consider some ways in which our formulation of counterfactual computation can be generalised.
[ { "version": "v1", "created": "Fri, 2 Jul 1999 14:52:18 GMT" }, { "version": "v2", "created": "Wed, 25 Oct 2000 15:41:51 GMT" } ]
2015-06-26T00:00:00
[ [ "Mitchison", "Graeme", "" ], [ "Jozsa", "Richard", "" ] ]
quant-ph/9907008
Fred Cooper
Carl Bender, Fred Cooper, Peter Meisinger and Van M. Savage
Variational Ansatz for PT-Symmetric Quantum Mechanics
9 pages -- one postscript figure
Phys.Lett. A259 (1999) 224-231
10.1016/S0375-9601(99)00468-5
LA-UR-99-3026
quant-ph
null
A variational calculation of the energy levels of a class of PT-invariant quantum mechanical models described by the non-Hermitian Hamiltonian H= p^2 - (ix)^N with N positive and x complex is presented. Excellent agreement is obtained for the ground state and low lying excited state energy levels and wave functions. We use an energy functional with a three parameter class of PT-symmetric trial wave functions in obtaining our results.
[ { "version": "v1", "created": "Fri, 2 Jul 1999 20:20:04 GMT" } ]
2009-10-31T00:00:00
[ [ "Bender", "Carl", "" ], [ "Cooper", "Fred", "" ], [ "Meisinger", "Peter", "" ], [ "Savage", "Van M.", "" ] ]
quant-ph/9907009
Max Tegmark
Max Tegmark
The importance of quantum decoherence in brain processes
Minor changes to match accepted PRE version. 15 pages with 5 figs included. Color figures and links at http://www.physics.upenn.edu/~max/brain.html or from [email protected]. Physical Review E, in press
Phys.Rev.E61:4194-4206,2000
10.1103/PhysRevE.61.4194
null
quant-ph cond-mat.dis-nn cs.NE physics.bio-ph q-bio
null
Based on a calculation of neural decoherence rates, we argue that that the degrees of freedom of the human brain that relate to cognitive processes should be thought of as a classical rather than quantum system, i.e., that there is nothing fundamentally wrong with the current classical approach to neural network simulations. We find that the decoherence timescales ~10^{-13}-10^{-20} seconds are typically much shorter than the relevant dynamical timescales (~0.001-0.1 seconds), both for regular neuron firing and for kink-like polarization excitations in microtubules. This conclusion disagrees with suggestions by Penrose and others that the brain acts as a quantum computer, and that quantum coherence is related to consciousness in a fundamental way.
[ { "version": "v1", "created": "Mon, 5 Jul 1999 10:33:19 GMT" }, { "version": "v2", "created": "Wed, 10 Nov 1999 01:45:08 GMT" } ]
2009-10-07T00:00:00
[ [ "Tegmark", "Max", "" ] ]
quant-ph/9907010
Dipankar Home
Somshubhro Bandyopadhyay
Qubit assisted Conclusive Teleportation
4 pages, Latex, revised version. Title and abstarct changed, some minor changes in the text
null
null
null
quant-ph
null
We present an optimal method for teleporting an unknown qubit using any pure entangled state.
[ { "version": "v1", "created": "Sun, 4 Jul 1999 06:09:25 GMT" }, { "version": "v2", "created": "Thu, 8 Jul 1999 08:20:56 GMT" }, { "version": "v3", "created": "Thu, 4 Nov 1999 14:31:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Bandyopadhyay", "Somshubhro", "" ] ]
quant-ph/9907011
Miroljub Dugic
Miroljub Dugic (Faculty of Science, Kragujevac, YU)
Quantum mechanical modeling of the CNOT (XOR) gate
A short version. PlainTex, 28 pages, no figures
null
null
null
quant-ph
null
We consider the CNOT quantum gate as a physical action, i.e. as unitary in time evolution of the two-qubit system. This points to the modeling of the interaction Hamiltonian of the two-qubit system which would correspond to the CNOT transformation; the analysis naturally generalizes to the Toffoli gate. Despite nonuniqueness of the model of the interaction Hamiltonian, the analysis distinguishes that the interaction Hamiltonian does not posses any global (rotational) symmetry. This forces us to conclude that the direct (non-mediated) interaction in the two-qubit system does not suffice for implementing the CNOT gate. I.e., so as to be able succesfully to implement the CNOT transformation, a mediator (i.e. an external physical system interacting with both of the qubits) is required.
[ { "version": "v1", "created": "Sat, 3 Jul 1999 13:09:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Dugic", "Miroljub", "", "Faculty of Science, Kragujevac, YU" ] ]
quant-ph/9907012
Richard Shurtleff
Richard Shurtleff
Rotation Representations and e, $pi$, p Masses
14 pages, 3 figures, Latex
null
null
null
quant-ph hep-ph
null
Mass is proportional to phase gain per unit time; for e, $\pi$, and p the quantum frequencies are 0.124, 32.6, and 227 Zhz, respectively. By explaining how these particles acquire phase at different rates, we explain why these particles have different masses. Any free particle spin 1/2 wave function is a sum of plane waves with spin parallel to velocity. Each plane wave, a pair of 2-component rotation eigenvectors, can be associated with a 2x2 matrix representation of rotations in a Euclidean space without disturbing the plane wave's space-time properties. In a space with more than four dimensions, only rotations in a 4d subspace can be represented. So far all is well known. Now consider that unrepresented rotations do not have eigenvectors, do not make plane waves, and do not contribute phase. The particles e, $\pi,$ and p are assigned rotations in a 4d subspace of 16d, rotations in an 8d subspace of 12d, and rotations in a 12d subspace of 12d, respectively. The electron 4d subspace, assumed to be as likely to align with any one 4d subspace as with any other, produces phase when aligned with the represented 4d subspace in 16d. Similarly, we calculate the likelihood that a 4d subspace of the pion's 8d space aligns with the represented 4d subspace in 12d. The represented 4d subspace is contained in the proton's 12d space, so the proton always acquires phase. By the relationship between mass and phase, the resulting particle phase ratios are the particle mass ratios and these are coincident with the measured mass ratios, within about one percent. 1999 PACS number(s): 03.65.Fd Keywords:Algebraic methods; particle masses; rotation group
[ { "version": "v1", "created": "Mon, 5 Jul 1999 12:26:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Shurtleff", "Richard", "" ] ]
quant-ph/9907013
Y. Ben-Aryeh
Y. Ben-Aryeh
Heterodyne Detection of Gravitational Waves in a Michelson Interferometer with a Vibrating Mirror
null
null
null
null
quant-ph
null
A new heterodyne detection method is suggested for detecting gravitational waves in a Michelson Interferometer. The method is based on interference between phase changes which are induced by a vibrating mirror with phase changes which are due to the gravitational waves. The advantage of using a second order correlation function in the present analysis is discussed.
[ { "version": "v1", "created": "Sun, 4 Jul 1999 14:27:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Ben-Aryeh", "Y.", "" ] ]
quant-ph/9907014
Demosthenes Ellinas
Demosthenes Ellinas and Panagiotis Maniadis
q-Symmetries in DNLS-AL chains and exact solutions of quantum dimers
Latex, 19pp, 4 figures. Submitted for publication
Int.J.Mod.Phys. B13 (1999) 3087-3106
10.1142/S0217979299002873
null
quant-ph cond-mat nlin.SI
null
Dynamical symmetries of Hamiltonians quantized models of discrete non-linear Schroedinger chain (DNLS) and of Ablowitz-Ladik chain (AL) are studied. It is shown that for $n$-sites the dynamical algebra of DNLS Hamilton operator is given by the $su(n)$ algebra, while the respective symmetry for the AL case is the quantum algebra su_q(n). The q-deformation of the dynamical symmetry in the AL model is due to the non-canonical oscillator-like structure of the raising and lowering operators at each site. Invariants of motions are found in terms of Casimir central elements of su(n) and su_q(n) algebra generators, for the DNLS and QAL cases respectively. Utilizing the representation theory of the symmetry algebras we specialize to the $n=2$ quantum dimer case and formulate the eigenvalue problem of each dimer as a non-linear (q)-spin model. Analytic investigations of the ensuing three-term non-linear recurrence relations are carried out and the respective orthonormal and complete eigenvector bases are determined. The quantum manifestation of the classical self-trapping in the QDNLS-dimer and its absence in the QAL-dimer, is analysed by studying the asymptotic attraction and repulsion respectively, of the energy levels versus the strength of non-linearity. Our treatment predicts for the QDNLS-dimer, a phase-transition like behaviour in the rate of change of the logarithm of eigenenergy differences, for values of the non-linearity parameter near the classical bifurcation point.
[ { "version": "v1", "created": "Mon, 5 Jul 1999 11:22:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Ellinas", "Demosthenes", "" ], [ "Maniadis", "Panagiotis", "" ] ]
quant-ph/9907015
Svozil Karl
Karl Svozil
"Haunted" quantum contextuality
null
null
null
null
quant-ph
null
Two entangled particles in threedimensional Hilbert space (per particle) are considered in an EPR-type arrangement. On each side the Kochen-Specker observables $\{J_1^2,J_2^2,J_3^2\}$ and $\{\bar J_1^2, \bar J_2^2,J_3^2\}$ with $[J_1^2,\bar J_1^2]\neq 0$ are measured. The outcomes of measurements of $J_3^2$ (via $J_1^2,J_2^2$) and $J_3^2$ (via $\bar J_1^2,\bar J_2^2$) are compared. Although formally $J_3^2$ is associated with the same projection operator, a strong form of quantum contextuality states that an outcome depends on the complete disposition of the measurement apparatus, in particular whether $J_1^2$ or $\bar J_1^2$ is measured alongside. It is argued that in this case it is impossible to measure contextuality directly, a necessary condition being a non-operational counterfactuality of the argument.
[ { "version": "v1", "created": "Mon, 5 Jul 1999 11:50:24 GMT" }, { "version": "v2", "created": "Wed, 4 Aug 1999 19:15:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Svozil", "Karl", "" ] ]
quant-ph/9907016
Pieter Kok
Pieter Kok, Samuel L. Braunstein
Comment on `Experimental Entanglement Swapping: Entangling Photons That Never Interacted'
1 page, REVTeX, 1 figure
null
null
null
quant-ph
null
We comment on the experimental realisation of entanglement swapping by Pan et al. [Phys. Rev. Lett. 80, 3891 (1998)].
[ { "version": "v1", "created": "Mon, 5 Jul 1999 12:02:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Kok", "Pieter", "" ], [ "Braunstein", "Samuel L.", "" ] ]
quant-ph/9907017
Afshin Shafiee
A. Shafiee and M. Golshani
Single-particle Bell-type Inequality
14 pages, 1 figure, Latex file, To appear in Annales de la Fondation Louis de Broglie
Annales Fond.Broglie 28 (2003) 105
null
null
quant-ph
null
It is generally believed that Bell's inequality holds for the case of entangled states, including two correlated particles or special states of a single particle. Here, we derive a single-particle Bell's inequality for two correlated spin states at two successive times, appealing to the statistical independence condition in an ideal experiment, for a locally causal hidden variables theory. We show that regardless of the locality assumption, the inequality can be violated by some quantum predictions.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 06:21:30 GMT" }, { "version": "v2", "created": "Sun, 6 Feb 2000 06:34:49 GMT" }, { "version": "v3", "created": "Mon, 18 Mar 2002 06:28:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Shafiee", "A.", "" ], [ "Golshani", "M.", "" ] ]
quant-ph/9907018
Holger F. Hofmann
Holger F. Hofmann
Information and noise in quantum measurement
16 pages, short comment added in II.B., final version for publication in Phys. Rev. A
Phys.Rev.A62:022103,2000
10.1103/PhysRevA.62.022103
null
quant-ph
null
Even though measurement results obtained in the real world are generally both noisy and continuous, quantum measurement theory tends to emphasize the ideal limit of perfect precision and quantized measurement results. In this article, a more general concept of noisy measurements is applied to investigate the role of quantum noise in the measurement process. In particular, it is shown that the effects of quantum noise can be separated from the effects of information obtained in the measurement. However, quantum noise is required to ``cover up'' negative probabilities arising as the quantum limit is approached. These negative probabilities represent fundamental quantum mechanical correlations between the measured variable and the variables affected by quantum noise.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 09:22:52 GMT" }, { "version": "v2", "created": "Tue, 30 Nov 1999 06:15:46 GMT" }, { "version": "v3", "created": "Fri, 18 Feb 2000 05:47:26 GMT" }, { "version": "v4", "created": "Thu, 30 Mar 2000 04:55:06 GMT" } ]
2008-12-18T00:00:00
[ [ "Hofmann", "Holger F.", "" ] ]
quant-ph/9907019
Peter Loeber
Peter Loeber
Quantum Channels and Simultaneous ID Coding
15 pages
null
null
null
quant-ph
null
This paper is on identification of classical information by the use of quantum channels. We focus on simultaneous ID codes which use measurements being useful to identify an arbitrary message. We give a direct and a converse part of the appropriate coding theorem.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 10:02:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Loeber", "Peter", "" ] ]
quant-ph/9907020
Alberto Carlini
A. Carlini and A. Hosoya
Quantum Probabilistic Subroutines and Problems in Number Theory
9 pages, RevTex, revised version, accepted for publication on PRA: improvement in use of memory space for quantum primality test algorithm further clarified and typos in the notation corrected
null
10.1103/PhysRevA.62.032312
TIT/HEP-426/COSMO-94
quant-ph
null
We present a quantum version of the classical probabilistic algorithms $\grave{a}$ la Rabin. The quantum algorithm is based on the essential use of Grover's operator for the quantum search of a database and of Shor's Fourier transform for extracting the periodicity of a function, and their combined use in the counting algorithm originally introduced by Brassard et al. One of the main features of our quantum probabilistic algorithm is its full unitarity and reversibility, which would make its use possible as part of larger and more complicated networks in quantum computers. As an example of this we describe polynomial time algorithms for studying some important problems in number theory, such as the test of the primality of an integer, the so called 'prime number theorem' and Hardy and Littlewood's conjecture about the asymptotic number of representations of an even integer as a sum of two primes.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 09:59:54 GMT" }, { "version": "v2", "created": "Mon, 7 Feb 2000 09:21:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Carlini", "A.", "" ], [ "Hosoya", "A.", "" ] ]
quant-ph/9907021
Jens Eisert
J. Eisert, T. Felbinger, P. Papadopoulos, M. B. Plenio, M. Wilkens
Classical information and distillable entanglement
5 pages (RevTeX), 1 figure; typos corrected
Phys. Rev. Lett. 84, 1611 (2000)
10.1103/PhysRevLett.84.1611
null
quant-ph
null
We establish a quantitative connection between the amount of lost classical information about a quantum state and the concomitant loss of entanglement. Using methods that have been developed for the optimal purification of mixed states we find a class of mixed states with known distillable entanglement. These results can be used to determine the quantum capacity of a quantum channel which randomizes the order of transmitted signals.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 16:53:29 GMT" }, { "version": "v2", "created": "Thu, 8 Jul 1999 15:09:49 GMT" } ]
2013-09-03T00:00:00
[ [ "Eisert", "J.", "" ], [ "Felbinger", "T.", "" ], [ "Papadopoulos", "P.", "" ], [ "Plenio", "M. B.", "" ], [ "Wilkens", "M.", "" ] ]
quant-ph/9907022
Dr. Arun Kumar Pati
Arun K. Pati
Minimum cbits for remote preperation and measurement of a qubit
Latex, 7 pages, minor changes, references added
Phys.Rev. A63 (2000) 014320
10.1103/PhysRevA.63.014302
null
quant-ph
null
We show that a qubit chosen from equatorial or polar great circles on a Bloch spehere can be remotely prepared with one cbit from Alice to Bob if they share one ebit of entanglement. Also we show that any single particle measurement on an arbitrary qubit can be remotely simulated with one ebit of shared entanglement and communication of one cbit.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 19:40:52 GMT" }, { "version": "v2", "created": "Tue, 20 Jun 2000 12:02:09 GMT" }, { "version": "v3", "created": "Thu, 27 Jul 2000 11:35:13 GMT" } ]
2012-11-20T00:00:00
[ [ "Pati", "Arun K.", "" ] ]
quant-ph/9907023
A. Perez-Lorenzana
Merced Montesinos and Abdel P\'erez-Lorenzana
Exact solutions of n-level systems and gauge theories
LaTeX file, 5 pages, published version
Phys.Rev. A60 (1999) 2554
10.1103/PhysRevA.60.2554
UMD-PP-00-001
quant-ph
null
We find a relationship between unitary transformations of the dynamics of quantum systems with time-dependent Hamiltonians and gauge theories. In particular, we show that the nonrelativistic dynamics of spin-$\frac12$ particles in a magnetic field $B^i (t)$ can be formulated in a natural way as an SU(2) gauge theory, with the magnetic field $B^i(t)$ playing the role of the gauge potential A^i. The present approach can also be applied to systems of n levels with time-dependent potentials, U(n) being the gauge group. This geometric interpretation provides a powerful method to find exact solutions of the Schr\"odinger equation. The root of the present approach rests in the Hermiticity property of the Hamiltonian operators involved. In addition, the relationship with true gauge symmetries of n-level quantum systems is discussed.
[ { "version": "v1", "created": "Tue, 6 Jul 1999 20:13:26 GMT" }, { "version": "v2", "created": "Fri, 17 Sep 1999 19:08:37 GMT" } ]
2009-10-31T00:00:00
[ [ "Montesinos", "Merced", "" ], [ "Pérez-Lorenzana", "Abdel", "" ] ]
quant-ph/9907024
Jerry Finkelstein
H. Barnum, C. M. Caves, J. Finkelstein, C. A. Fuchs and R. Schack
Quantum Probability from Decision Theory?
LaTeX, 8 pages, no figures
Proc.Roy.Soc.Lond. A456 (2000) 1175-1182
10.1098/rspa.2000.0557
SJSU/TP-99-21
quant-ph
null
In a recent paper (quant-ph/9906015), Deutsch claims to derive the "probabilistic predictions of quantum theory" from the "non-probabilistic axioms of quantum theory" and the "non-probabilistic part of classical decision theory." We show that his derivation fails because it includes hidden probabilistic assumptions.
[ { "version": "v1", "created": "Wed, 7 Jul 1999 20:33:47 GMT" } ]
2009-10-31T00:00:00
[ [ "Barnum", "H.", "" ], [ "Caves", "C. M.", "" ], [ "Finkelstein", "J.", "" ], [ "Fuchs", "C. A.", "" ], [ "Schack", "R.", "" ] ]
quant-ph/9907025
Abel Camacho Quintana
A. Camacho (Astrophysikalisches Institut Potsdam)
Aharonov-Bohm Effect and Coordinate Transformations
11 pages, 1 figure, accepted in Mod. Phys. Letts. A
Mod.Phys.Lett. A14 (1999) 1445
10.1142/S0217732399001541
null
quant-ph gr-qc
null
Resorting to a Gedankenexperiment which is very similar to the famous Aharonov-Bohm proposal it will be shown that, in the case of a Minkowskian spacetime, we may use a nonrelativistic quantum particle and a noninertial coordinate system and obtain geometric information of regions that are, to this particle, forbidden. This shows that the outcome of a nonrelativistic quantum process is determined not only by the features of geometry at those points at which the process takes place, but also by geometric parameters of regions in which the quantum system can not enter. From this fact we could claim that geometry at the quantum level plays a non-local role. Indeed, the measurement outputs of some nonrelativistic quantum experiments are determined not only by the geometry of the region in which the experiment takes place, but also by the geometric properties of spacetime volumes which are, in some way, forbidden in the experiment.
[ { "version": "v1", "created": "Wed, 7 Jul 1999 21:08:03 GMT" } ]
2009-10-31T00:00:00
[ [ "Camacho", "A.", "", "Astrophysikalisches Institut Potsdam" ] ]
quant-ph/9907026
Thomas Konrad
J. Audretsch, Th. Konrad, M. Mensky
Approximate real time visualization of a Rabi transition by means of continuous fuzzy measurement
17 pages, 6 figures
null
null
null
quant-ph
null
Continuous weak or fuzzy measurement of the Rabi oscillation of a two level atom subjected to a $\pi-$pulse of a resonant light field is simulated numerically. We thereby address the question whether it is possible to measure characteristic features of the motion of the state of a single quantum system in real time. We compare two schemes of continuous measurement: continuous measurement with constant fuzziness and with fuzziness changing in the course of the measurement. Because the sensitivity of the Rabi atom to the influence of the measurement depends on the state of the atom, it is possible to optimize the continuous fuzzy measurement by varying its fuzziness.
[ { "version": "v1", "created": "Thu, 8 Jul 1999 08:22:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Audretsch", "J.", "" ], [ "Konrad", "Th.", "" ], [ "Mensky", "M.", "" ] ]
quant-ph/9907027
Tuck Choy
T.C. Choy and Debra Ziegeler
The meaning of 'counterfactual' statements and non-locality in quantum mechanics
10 pages, No figures, submitted to American Journal of Physics Apr 1999
null
null
null
quant-ph physics.hist-ph
null
Recent discussions by Mermin [1] and Stapp [2] in this journal on non-locality and counterfactuality are shown to contain linguistic problems that require verification. As such they can at most provide us with two subjective choices for the meaning of 'counterfactual statements' in quantum mechanics. We shall show that the word 'counterfactual' is in fact inappropriate here and should be replaced by the word 'hypothetical'. Mermin's choice imposes a strictly contextual meaning based upon an interpretation of counterfactuality which he used to refute, without proof as we shall see, Stapp's logical proof [3] of non-locality in quantum theory. In linguistic theory both authors' choices of meaning: counterfactual versus hypothetical are equally acceptable and therefore some of the issues they discussed lie outside the domain of physics. The issues they discussed are further confused by the fact that in his reply Stapp [2] seems to have adopted Mermin's counterfactual interpretation against his own original [3] hypothetical interpretation. In the rest of this paper we shall adopt the hypothetical sense of Stapp's original statements but we modify his crucial statement LOC2 appropriately, then following his argumentations, we shall show that there is no conflict between relativity and quantum mechanics. We suggest that this should be the natural (pragmatic) choice of meaning in defining the predictions of events in the Hardy experiment.
[ { "version": "v1", "created": "Thu, 8 Jul 1999 11:50:27 GMT" } ]
2011-08-08T00:00:00
[ [ "Choy", "T. C.", "" ], [ "Ziegeler", "Debra", "" ] ]
quant-ph/9907028
Guglielmo Tino
G.M. Tino (University of Napoli, Italy)
Testing the symmetrization postulate of quantum mechanics and the spin-statistics connection
Latex, 14 pages, no figures
Fortsch.Phys.48:537-543,2000
10.1002/(SICI)1521-3978(200005)48:5/7<537::AID-PROP537>3.0.CO;2-C
DSF-23-99
quant-ph
null
Recent experimental tests of the symmetrization postulate of quantum mechanics are discussed. It is shown that in a strict sense these experiments cannot test the validity of the symmetrization postulate, but in most cases do test the spin-statistics connection. An experiment is proposed that would allow to search for possible violations of the symmetrization postulate.
[ { "version": "v1", "created": "Thu, 8 Jul 1999 13:05:06 GMT" } ]
2017-04-26T00:00:00
[ [ "Tino", "G. M.", "", "University of Napoli, Italy" ] ]
quant-ph/9907029
Dipankar Home
Somshubhro Bandyopadhyay and Dipankar Home
Barrier Perturbation Induced Superarrivals and Nonlocality in a Time-Evolving Wave Packet
latex, 6 figures
null
null
null
quant-ph
null
We compute the time evolving probability of a Gaussian wave packet to be reflected from a rectangular potential barrier which is perturbed by reducing its height. A time interval is found during which this probability of reflection is enhanced (superarrivals) compared to the unperturbed case. Such a time evolving reflection probability implies that the effect of perturbation propagates across the wave packet faster than its group velocity - a curious form of nonlocality.
[ { "version": "v1", "created": "Thu, 8 Jul 1999 13:16:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Bandyopadhyay", "Somshubhro", "" ], [ "Home", "Dipankar", "" ] ]
quant-ph/9907030
Dipankar Home
Sayandeb Basu, Somshubhro Bandyopadhyay, Guruprasad Kar and Dipankar Home
Bell's inequality for a single spin 1/2 particle and quantum contextuality
Latex, 7 pages, 2 Figs. published version with a note added to the proof
Phys. Lett. A Vol. 279 issue 5-6 pp. 281-286
10.1016/S0375-9601(00)00747-7
null
quant-ph
null
We argue that for a \emph{single particle} Bell's inequality is a consequence of noncontextuality and is \emph{incompatible} with statistical predictions of quantum mechanics. Thus noncontextual models can be empirically falsified, \emph{independent} of locality condition. For this an appropriate entanglement between \emph{disjoint} Hilbert spaces pertaining to translational and spin degrees of freedom of a single spin-1/2 particle is invoked
[ { "version": "v1", "created": "Thu, 8 Jul 1999 13:59:18 GMT" }, { "version": "v2", "created": "Tue, 18 Apr 2000 04:46:34 GMT" }, { "version": "v3", "created": "Sun, 18 Mar 2001 07:51:53 GMT" } ]
2015-06-26T00:00:00
[ [ "Basu", "Sayandeb", "" ], [ "Bandyopadhyay", "Somshubhro", "" ], [ "Kar", "Guruprasad", "" ], [ "Home", "Dipankar", "" ] ]
quant-ph/9907031
Habatwa Vincent Mweene
Habatwa Vincent Mweene (Physics Department, University of Zambia)
Alternative Forms of Generalized Vectors and Operators for Spin 1/2
LaTeX, 14 pages.Replaced after thorough revision of notation and improvement to some sections
null
null
UNZAPHYS-004
quant-ph
null
The forms of the generalized quantities that we have recently introduced are dependent on the phase of the probability amplitudes for spin-projection measurements. In this paper, we show explicitly that changing the phase gives different forms for both the spin vectors and spin operators. Therefore, there are as many forms of these quantities as there are different choices of phase.
[ { "version": "v1", "created": "Thu, 8 Jul 1999 17:23:18 GMT" }, { "version": "v2", "created": "Sat, 1 Jul 2000 00:28:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Mweene", "Habatwa Vincent", "", "Physics Department, University of Zambia" ] ]
quant-ph/9907032
Michael Fleischhauer
M. Fleischhauer, M. D. Lukin, A. B. Matsko, and M. O. Scully
Threshold and linewidth of a mirrorless parametric oscillator
revised version to appear in Phys.Rev.Lett., contains discussion on threshold conditions and operation on few-photon level
null
10.1103/PhysRevLett.84.3558
null
quant-ph
null
We analyze the above-threshold behavior of a mirrorless parametric oscillator based on resonantly enhanced four wave mixing in a coherently driven dense atomic vapor. It is shown that, in the ideal limit, an arbitrary small flux of pump photons is sufficient to reach the oscillator threshold. We demonstrate that due to the large group-velocity delays associated with coherent media, an extremely narrow oscillator linewidth is possible, making a narrow-band source of non-classical radiation feasible.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 08:09:12 GMT" }, { "version": "v2", "created": "Wed, 9 Feb 2000 08:36:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Fleischhauer", "M.", "" ], [ "Lukin", "M. D.", "" ], [ "Matsko", "A. B.", "" ], [ "Scully", "M. O.", "" ] ]
quant-ph/9907033
Habatwa Vincent Mweene
Habatwa Vincent Mweene (Physics Department, University of Zambia)
Spin Description and Calculation in the Lande' Interpretation of Quantum Mechanics
LaTeX, 15 pages.Replaced after thorough revision of notation and improvement to some sections
null
null
UNZAPHYS-005
quant-ph
null
We explain the connection between the generalized spin quantities we have recently introduced and standard forms. We show how the calculation of various quantities of interest using these new forms is done. Focusing attention on expectation values, we find that in every case, the standard results can be obtained as special cases arising from the new generalized results.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 10:33:50 GMT" }, { "version": "v2", "created": "Sat, 1 Jul 2000 00:04:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Mweene", "Habatwa Vincent", "", "Physics Department, University of Zambia" ] ]
quant-ph/9907034
A. Heidmann
A. Heidmann, P.F. Cohadon, M. Pinard
Thermal noise of a plano-convex mirror
5 pages, 5 figures, RevTeX
Phys.Lett. A263 (1999) 27-32
10.1016/S0375-9601(99)00704-5
null
quant-ph
null
We study theoretically the internal thermal noise of a mirror coated on a plano-convex substrate. The comparison with a cylindrical mirror of the same mass shows that the effect on a light beam can be reduced by a factor 10, improving the sensitivity of high-precision optical experiments such as gravitational-wave interferometers.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 13:10:16 GMT" }, { "version": "v2", "created": "Wed, 23 Feb 2000 17:21:58 GMT" } ]
2009-10-31T00:00:00
[ [ "Heidmann", "A.", "" ], [ "Cohadon", "P. F.", "" ], [ "Pinard", "M.", "" ] ]
quant-ph/9907035
Paul Vitanyi
Paul Vitanyi (CWI & University of Amsterdam)
Three Approaches to the Quantitative Definition of Information in an Individual Pure Quantum State
8 pages, LaTeX
In: Proc. 15th IEEE Conf. Computational Complexity, 2000
null
null
quant-ph
null
In analogy of classical Kolmogorov complexity we develop a theory of the algorithmic information in bits contained in any one of continuously many pure quantum states: quantum Kolmogorov complexity. Classical Kolmogorov complexity coincides with the new quantum Kolmogorov complexity restricted to the classical domain. Quantum Kolmogorov complexity is upper bounded and can be effectively approximated from above. With high probability a quantum object is incompressible. There are two alternative approaches possible: to define the complexity as the length of the shortest qubit program that effectively describes the object, and to use classical descriptions with computable real parameters.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 14:02:18 GMT" }, { "version": "v2", "created": "Thu, 22 Jul 1999 16:04:08 GMT" }, { "version": "v3", "created": "Thu, 4 May 2000 16:27:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Vitanyi", "Paul", "", "CWI & University of Amsterdam" ] ]
quant-ph/9907036
Daniel R. Terno
Tal Mor and Daniel R. Terno
Sufficient conditions for a disentanglement
3 pages, REVTEX, no figures
Phys.Rev.A60:4341,1999
10.1103/PhysRevA.60.4341
null
quant-ph
null
We consider a disentanglement process in which local properties of an entangled state are preserved, while the entanglement between the subsystems is erased. Sufficient conditions for a perfect disentanglement (into product states and into separable states) are derived, and connections to the conditions for perfect cloning and for perfect broadcasting are observed.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 16:19:31 GMT" } ]
2008-12-18T00:00:00
[ [ "Mor", "Tal", "" ], [ "Terno", "Daniel R.", "" ] ]
quant-ph/9907037
Yeranuhi Hakobyan
E. G. Kalnins, W. Miller Jr, Ye. M. Hakobyan, G. S. Pogosyan
Superintegrability on the two dimensional hyperboloid II
18 pages, LaTex; 1 figure (eps)
J.Math.Phys. 40 (1999) 2291-2306
10.1063/1.532864
Preprint JINR E2-98-229
quant-ph hep-th math-ph math.MP
null
This work is devoted to the investigation of the quantum mechanical systems on the two dimensional hyperboloid which admit separation of variables in at least two coordinate systems. Here we consider two potentials introduced in a paper of C.P.Boyer, E.G.Kalnins and P.Winternitz, which haven't yet been studied. We give an example of an interbasis expansion and work out the structure of the quadratic algebra generated by the integrals of motion.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 19:51:17 GMT" } ]
2015-06-26T00:00:00
[ [ "Kalnins", "E. G.", "" ], [ "Miller", "W.", "Jr" ], [ "Hakobyan", "Ye. M.", "" ], [ "Pogosyan", "G. S.", "" ] ]
quant-ph/9907038
Mladen Pavicic
Mladen Pavicic
Event-ready entanglement preparation
10 pages, LaTeX, 4 figures, Author's URL http://m3k.grad.hr/pavicic
in "Quantum Interferometry," Proceedings of the Adriatico Workshop, Trieste, March 1996. F. De Martini, G. Denardo, and Y. Shih (eds.), (VCH, New York, 1996), pp. 193-204
null
null
quant-ph
null
We present an experiment which prepare entanglement between photons that nowhere interacted and whose paths nowhere crossed. The experiment puts together two photons from two (non-maximal) singlet-like photon pairs and make them interfere at an asymmetrical beam splitter. As a result one finds polarization correlations between the other companion photons from the pairs whose paths nowhere crossed each other even when no polarization measurements have been carried out on the former photons. The latter set of photons that nowhere interacted are therefore event-ready prepared by their pair-companion photons. The result reveals nonlocality as a property of selection which can even be a preselection. It also reveals that one can predict spin-correlated behaviour of photons in space and at beam splitters by controlling a no-spin observable. [From the Book of Abstracts as appeared at the Workshop.]
[ { "version": "v1", "created": "Fri, 9 Jul 1999 21:06:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Pavicic", "Mladen", "" ] ]
quant-ph/9907039
Mladen Pavicic
Mladen Pavicic
A method for reaching detection efficiencies necessary for optical loophole-free Bell experiments
RevTeX, 20 pages, 2figures, Author's URL http://m3k.grad.hr/pavicic
Opt.Commun. 142 (1997) 308-314
10.1016/S0030-4018(97)00285-X
null
quant-ph
null
A method for preparing a loophole-free four-photon Bell experiments which requires a detection efficiency of 67% is proposed. It enables realistic detection efficiencies of 75% at a visibility of 85%. Two type-II crystals each down convert one correlated photon pair and we entangle one photon from one pair with one photon from the other pair on a highly transparent beam splitter. The entanglement selects two other conjugate photons into a Bell state. Wide solid angles for the conjugate photons then enable us to collect close to 100% of them. The cases when both photon pairs come from only one of the two crystals are successfully taken into account. Hardy's equalities are discussed.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 22:22:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Pavicic", "Mladen", "" ] ]
quant-ph/9907040
Mladen Pavicic
Mladen Pavicic
Resonance energy-exchange-free detection and "welcher Weg" experiment
RevTeX, 14 pages, 3 figures, see http://m3k.grad.hr/pavicic for Author's web site
Phys.Lett. A223 (1996) 241-245
10.1016/S0375-9601(96)00751-7
null
quant-ph
null
It is shown that a monolithic total-internal-reflection resonator can be used for energy-exchange-free detections of objects without recoils. Related energy-exchange-free detection of "welcher Weg" is discussed and an experiment with an atom interferometer is proposed. The obtained results are in agreement with quantum theory.
[ { "version": "v1", "created": "Fri, 9 Jul 1999 23:31:00 GMT" } ]
2009-10-31T00:00:00
[ [ "Pavicic", "Mladen", "" ] ]
quant-ph/9907041
Jinhyoung Lee
Jinhyoung Lee and M. S. Kim
Entanglement Teleportation via Werner States
4pages, 3figures
Phys.Rev.Lett.84:4236,2000
10.1103/PhysRevLett.84.4236
null
quant-ph
null
Transfer of entanglement and information is studied for quantum teleportation of an unknown entangled state through noisy quantum channels. We find that the quantum entanglement of the unknown state can be lost during the teleportation even when the channel is quantum correlated. We introduce a fundamental parameter of correlation information which dissipates linearly during the teleportation through the noisy channel. Analyzing the transfer of correlation information, we show that the purity of the initial state is important in determining the entanglement of the replica state.
[ { "version": "v1", "created": "Sat, 10 Jul 1999 06:33:41 GMT" }, { "version": "v2", "created": "Fri, 25 Feb 2000 09:02:55 GMT" } ]
2009-01-23T00:00:00
[ [ "Lee", "Jinhyoung", "" ], [ "Kim", "M. S.", "" ] ]
quant-ph/9907042
Dominik Janzing
Dominik Janzing and Thomas Beth
Fragility of a class of highly entangled states of many quantum-bits
9 Pages, RevTex
Phys.Rev.A61:052308,2000
10.1103/PhysRevA.61.052308
null
quant-ph
null
We consider a Quantum Computer with n quantum-bits (`qubits'), where each qubit is coupled independently to an environment affecting the state in a dephasing or depolarizing way. For mixed states we suggest a quantification for the property of showing {\it quantum} uncertainty on the macroscopic level. We illustrate in which sense a large parameter can be seen as an indicator for large entanglement and give hypersurfaces enclosing the set of separable states. Using methods of the classical theory of maximum likelihood estimation we prove that this parameter is decreasing with 1/\sqrt{n} for all those states which have been exposed to the environment. Furthermore we consider a Quantum Computer with perfect 1-qubit gates and 2-qubit gates with depolarizing error and show that any state which can be obtained from a separable initial state lies inbetween a family of pairs of certain hypersurfaces parallel to those enclosing the separable ones.
[ { "version": "v1", "created": "Sat, 10 Jul 1999 13:04:40 GMT" } ]
2008-12-18T00:00:00
[ [ "Janzing", "Dominik", "" ], [ "Beth", "Thomas", "" ] ]
quant-ph/9907043
Radu Ionicioiu
Radu Ionicioiu, Gehan Amaratunga, Florin Udrea (University of Cambridge, UK)
Ballistic Single-Electron Quputer
5 pages, LaTeX, 3 figures, uses epsf
null
null
null
quant-ph cond-mat
null
We propose a new solid state implementation of a quantum computer (quputer) using ballistic single electrons as flying qubits in 1D nanowires. We use a single electron pump (SEP) to prepare the initial state and a single electron transistor (SET) to measure the final state. Single qubit gates are implemented using quantum dots as phase shifters and electron waveguide couplers as beam splitters. A Coulomb coupler acts as a 2-qubit gate, using a mutual phase modulation effect. Since the electron phase coherence length in GaAs/AlGaAs heterostructures is of the order of 30$\mu$m, several gates (tens) can be implemented before the system decoheres.
[ { "version": "v1", "created": "Sun, 11 Jul 1999 00:25:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Ionicioiu", "Radu", "", "University of\n Cambridge, UK" ], [ "Amaratunga", "Gehan", "", "University of\n Cambridge, UK" ], [ "Udrea", "Florin", "", "University of\n Cambridge, UK" ] ]
quant-ph/9907044
Gov Shahar
S. Gov (1), S. Shtrikman (1+2), H. Thomas (3) ((1) The Dept. of Electronics, Weizmann Institute of Science, Rehovot, Israel (2) The Dept. of Physics, University of California, San Diego, CA, USA (3) The Department of Physics and Astronomy, University of Basel, Basel, Switzerland)
Magnetic trapping of neutral particles: Classical and Quantum-mechanical study of a Ioffe-Pritchard type trap
25 pages + 1 EPS figure
null
10.1063/1.372444
null
quant-ph
null
Recently, we developed a method for calculating the lifetime of a particle inside a magnetic trap with respect to spin flips, as a first step in our efforts to understand the quantum-mechanics of magnetic traps. The 1D toy model that was used in this study was physically unrealistic because the magnetic field was not curl-free. Here, we study, both classically and quantum-mechanically, the problem of a neutral particle with spin S, mass m and magnetic moment mu, moving in 3D in an inhomogeneous magnetic field corresponding to traps of the Ioffe-Pritchard, `clover-leaf' and `baseball' type. Defining by omega_p, omega_z and omega_r the precessional, the axial and the lateral vibrational frequencies, respectively, of the particle in the adiabatic potential, we find classically the region in the $(\omega_{r}% (omega_r -- omega_z) plane where the particle is trapped. Quantum-mechanically, we study the problem of a spin-one particle in the same field. Treating omega_r / omega_p and omega_z / omega_p as small parameters for the perturbation from the adiabatic Hamiltonian, we derive a closed-form expression for the transition rate 1/T_{esc} of the particle from its trapped ground-state. We find that in the extreme cases, the expression for 1/T_{esc} is dominated by the largest of the two frequencies omega_r and omega_z.
[ { "version": "v1", "created": "Mon, 12 Jul 1999 06:47:56 GMT" } ]
2009-10-31T00:00:00
[ [ "Gov", "S.", "", "1+2" ], [ "Shtrikman", "S.", "", "1+2" ], [ "Thomas", "H.", "" ] ]
quant-ph/9907045
Krutitsky
K.V.Krutitsky, F.Burgbacher and J.Audretsch
Microscopic theory of the interaction of ultracold dense Bose and Fermi gases with electromagnetic field
6 pages, RevTeX, invited talk at the 8TH International Workshop on Laser Physics
Laser Physics 10(1), 15-20 (2000)
null
null
quant-ph
null
We present the rigorous microscopic quantum theory of the interaction of ultracold Bose and Fermi gases with the electromagnetic field of vacuum and laser photons. The main attention has been paid to the consistent consideration of dynamical dipole-dipole interactions. The theory developed is shown to be consistent with the general principles of the canonical quantization of electromagnetic field in a medium. Starting from the first principles of QED we have derived the general system of Maxwell-Bloch equations for atomic creation and annihilation operators and the propagation equation for the laser field which can be used for the self-consistent analysis of various linear and nonlinear phenomena in atom optics at high densities of the atomic system. All known equations which are used for the description of the behaviour of an ultracold atomic ensemble in a radiation field can be obtained from our general system of equations in a low-density limit.
[ { "version": "v1", "created": "Mon, 12 Jul 1999 07:48:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Krutitsky", "K. V.", "" ], [ "Burgbacher", "F.", "" ], [ "Audretsch", "J.", "" ] ]
quant-ph/9907046
Antonio Vidiella-Barranco
H. Moya-Cessa, S.M. Dutra, A. Vidiella-Barranco and J.A. Roversi (Universidade Estadual de Campinas, Brazil)
Quantum state reconstruction in the presence of dissipation
null
J.Mod.Opt. 46 (1999) 555
10.1080/09500349908231283
null
quant-ph
null
We propose a realistic scheme to determine the quantum state of a single mode cavity field even after it has started to decay due to the coupling with an environment. Although dissipation destroys quantum coherences, we show that at zero temperature enough information about the initial state remains, in an observable quantity, to allow the reconstruction of its Wigner function.
[ { "version": "v1", "created": "Mon, 12 Jul 1999 17:45:36 GMT" } ]
2015-06-26T00:00:00
[ [ "Moya-Cessa", "H.", "", "Universidade Estadual de Campinas, Brazil" ], [ "Dutra", "S. M.", "", "Universidade Estadual de Campinas, Brazil" ], [ "Vidiella-Barranco", "A.", "", "Universidade Estadual de Campinas, Brazil" ], [ "Roversi", "J. A.", "", "Universidade Estadual de Campinas, Brazil" ] ]
quant-ph/9907047
William K. Wootters
Valerie Coffman, Joydip Kundu, and William K. Wootters
Distributed Entanglement
13 pages LaTeX; references added, derivation of Eq. (11) simplified
Phys.Rev.A61:052306,2000
10.1103/PhysRevA.61.052306
null
quant-ph
null
Consider three qubits A, B, and C which may be entangled with each other. We show that there is a trade-off between A's entanglement with B and its entanglement with C. This relation is expressed in terms of a measure of entanglement called the "tangle," which is related to the entanglement of formation. Specifically, we show that the tangle between A and B, plus the tangle between A and C, cannot be greater than the tangle between A and the pair BC. This inequality is as strong as it could be, in the sense that for any values of the tangles satisfying the corresponding equality, one can find a quantum state consistent with those values. Further exploration of this result leads to a definition of the "three-way tangle" of the system, which is invariant under permutations of the qubits.
[ { "version": "v1", "created": "Tue, 13 Jul 1999 07:38:38 GMT" }, { "version": "v2", "created": "Sat, 24 Jul 1999 07:01:01 GMT" } ]
2008-12-18T00:00:00
[ [ "Coffman", "Valerie", "" ], [ "Kundu", "Joydip", "" ], [ "Wootters", "William K.", "" ] ]
quant-ph/9907048
Tomas Opatrny
T. Opatrny, G. Kurizki, and D.-G. Welsch
Continuous-variable teleportation improvement by photon subtraction via conditional measurement
7 pages REVTeX, 7 figures
Phys.Rev. A61 (2000) 032302
10.1103/PhysRevA.61.032302
null
quant-ph
null
We show that the recently proposed scheme of teleportation of continuous variables [S.L. Braunstein and H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998)] can be improved by a conditional measurement in the preparation of the entangled state shared by the sender and the recipient. The conditional measurement subtracts photons from the original entangled two-mode squeezed vacuum, by transmitting each mode through a low-reflectivity beam splitter and performing a joint photon-number measurement on the reflected beams. In this way the degree of entanglement of the shared state is increased and so is the fidelity of the teleported state.
[ { "version": "v1", "created": "Tue, 13 Jul 1999 13:28:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Opatrny", "T.", "" ], [ "Kurizki", "G.", "" ], [ "Welsch", "D. -G.", "" ] ]
quant-ph/9907049
Andrew Scott Parkins
A.S. Parkins, H.J. Kimble
A position-momentum EPR state of distantly-separated trapped atoms
5 pages, 2 figures, submitted to Phys. Rev. A
null
10.1103/PhysRevA.61.052104
null
quant-ph
null
We propose a scheme for preparing an EPR state in position and momentum of a pair of distantly-separated trapped atoms. The scheme utilizes the entangled light fields output from a nondegenerate optical parametric amplifier. Quantum state exchange between these fields and the motional states of the trapped atoms is accomplished via interactions in cavity QED.
[ { "version": "v1", "created": "Tue, 13 Jul 1999 22:07:36 GMT" } ]
2009-10-31T00:00:00
[ [ "Parkins", "A. S.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/9907050
Ghirardi Giancarlo,
Angelo Bassi, GianCarlo Ghirardi
More about Dynamical Reduction and the Enumeration Principle
23 pages, Latex, to appear in Brit. J. Phil. Sci
Brit. Journ. Phil. Sci. 50, 719 (1999).
null
null
quant-ph
null
In view of the arguments put forward by Clifton and Monton [1999] in a recent preprint, we reconsider the alleged conflict of dynamical reduction models with the enumeration principle. We prove that our original analysis of such a problem is correct, that the GRW model does not meet any difficulty and that the reasoning of the above authors is inappropriate since it does not take into account the correct interpretation of the dynamical reduction theories.
[ { "version": "v1", "created": "Wed, 14 Jul 1999 15:13:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Bassi", "Angelo", "" ], [ "Ghirardi", "GianCarlo", "" ] ]
quant-ph/9907051
null
B. Carazza (Dipartimento di Fisica, Parma, Italy)
Decoherence within a simple Model for the Environment
13 pages, LaTex, no figures. To appear on Found. Phys. Letts
Found.Phys.Lett. 12 (1999) 485-495
null
null
quant-ph
null
This article examines the decoherence of a macroscopic body using a simple model of the environment and following the evolution of the pure state for the whole system. We found that decoherence occurs for very general initial conditions and were able to confirm a number of widely accepted features of the process.
[ { "version": "v1", "created": "Wed, 14 Jul 1999 16:27:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Carazza", "B.", "", "Dipartimento di Fisica, Parma, Italy" ] ]
quant-ph/9907052
A. M. Lisewski
A.M. Lisewski
Can all neurobiological processes be described by classical physics?
null
null
null
null
quant-ph
null
We discuss results recently given in an article by M. Tegmark (quant-ph/9907009) where he argues that neurons can be described appropriately by pure classical physics. This letter is dedicated to the question if this is really the case when the role of dissipation and noise -- the two concurrent phenomena present in these biological structures -- is taken into account. We argue that dissipation and noise might well be of quantum origin and give also a possible reason why neural dynamics is not classical.
[ { "version": "v1", "created": "Thu, 15 Jul 1999 08:42:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Lisewski", "A. M.", "" ] ]
quant-ph/9907053
Thorsten Koehler
R. E. Grisenti, W. Schoellkopf, J. P. Toennies, G. C. Hegerfeldt, and T. Koehler
Determination of Atom-Surface van der Waals Potentials from Transmission-Grating Diffraction Intensities
4 pages Revtex + 3 figures. Physical Review Letters (in press)
Phys.Rev.Lett. 83 (1999) 1755-1758
10.1103/PhysRevLett.83.1755
null
quant-ph
null
Molecular beams of rare gas atoms and D_2 have been diffracted from 100 nm period SiN_x transmission gratings. The relative intensities of the diffraction peaks out to the 8th order depend on the diffracting particle and are interpreted in terms of effective slit widths. These differences have been analyzed by a new theory which accounts for the long-range van der Waals -C_3/l^3 interaction of the particles with the walls of the grating bars. The values of the C_3 constant for two different gratings are in good agreement and the results exhibit the expected linear dependence on the dipole polarizability.
[ { "version": "v1", "created": "Thu, 15 Jul 1999 12:19:22 GMT" } ]
2016-09-08T00:00:00
[ [ "Grisenti", "R. E.", "" ], [ "Schoellkopf", "W.", "" ], [ "Toennies", "J. P.", "" ], [ "Hegerfeldt", "G. C.", "" ], [ "Koehler", "T.", "" ] ]
quant-ph/9907054
Miloslav Znojil
Miloslav Znojil
Bound states in the Kratzer plus polynomial potentials and their new exact tractability via nonlinear algebraic equations
24 pages incl. 4 tables, submitted to J. Math. Chem
J.Math.Chem. 26 (1999) 157-172
null
null
quant-ph
null
Schroedinger equation with potentials of the Kratzer plus polynomial type (say, quartic V(r) = A r^4 +B r^3 + C r^2+D r + F/r + G/r^2 etc) is considered. A new method of exact construction of some of its bound states is then proposed. it is based on the Taylor series terminated rigorously after N+1 terms at specific couplings and energies. This enables us to find the exact, complete and compact unperturbed solution of the Magyari's N+2 coupled and nonlinear algebraic conditions of the termination in the strong-coupling regime with G \to \infty. Next, at G < \infty, we adapt the Rayleigh-Schroedinger perturbation theory and define the bound states via an innovated, triple perturbation series. In tests we show that all the correction terms appear in integer arithmetics and remain, therefore, exact.
[ { "version": "v1", "created": "Thu, 15 Jul 1999 13:08:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Znojil", "Miloslav", "" ] ]
quant-ph/9907055
Michael G. Moore
G.A. Prataviera, E. V. Goldstein, and P. Meystre
Mutual coherence of optical and matter waves
null
null
10.1103/PhysRevA.60.4846
null
quant-ph
null
We propose a scheme to measure the cross-correlations and mutual coherence of optical and matter fields. It relies on the combination of a matter-wave detector operating by photoionization of the atoms and a traditional absorption photodetector. We show that the double-detection signal is sensitive to cross-correlation functions of light and matter waves.
[ { "version": "v1", "created": "Thu, 15 Jul 1999 20:24:51 GMT" } ]
2009-10-31T00:00:00
[ [ "Prataviera", "G. A.", "" ], [ "Goldstein", "E. V.", "" ], [ "Meystre", "P.", "" ] ]
quant-ph/9907056
Howard N. Barnum
Howard Barnum, Herbert J. Bernstein, Lee Spector
A quantum circuit for OR
4 pages + 2 postscript figures. Version 3 restores the figures to Version 2, which changed the title, abstract, introduction and concluding paragraph, order of material, and emphasis from Version 1. No change in technical content
null
null
null
quant-ph
null
We give the first quantum circuit for computing $f(0)$ OR $f(1)$ more reliably than is classically possible with a single evaluation of the function. OR therefore joins XOR (i.e. parity, $f(0) \oplus f(1)$) to give the full set of logical connectives (up to relabeling of inputs and outputs) for which there is quantum speedup. The XOR algorithm is of fundamental importance in quantum computation; our OR algorithm (found with the aid of genetic programming), may represent a new quantum computational effect, also useful as a ``subroutine''.
[ { "version": "v1", "created": "Fri, 16 Jul 1999 15:00:38 GMT" }, { "version": "v2", "created": "Thu, 30 Sep 1999 21:02:54 GMT" }, { "version": "v3", "created": "Fri, 8 Oct 1999 16:26:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Barnum", "Howard", "" ], [ "Bernstein", "Herbert J.", "" ], [ "Spector", "Lee", "" ] ]
quant-ph/9907057
Massimiliano F. Sacchi
G. M. D'Ariano, M. F. Sacchi, H. P. Yuen
On the correspondence between classical and quantum measurements on a bosonic field
RevTex. 17 pages. 1 eps figure. To appear on Mod. Phys. Lett. B
Int.J.Mod.Phys. B13 (1999) 3069-3086
10.1142/S0217979299002861
null
quant-ph
null
We study the correspondence between classical and quantum measurements on a harmonic oscillator that describes a one-mode bosonic field. We connect the quantum measurement of an observable of the field with the possibility of amplifying the observable ideally through a quantum amplifier. The ``classical'' measurement corresponds to the joint measurement of the position $q$ and momentum $p$ of the harmonic oscillator, with following evaluation of a function $f$ of the outcome $\alpha=q+ip$. For the electromagnetic field the joint measurement is achieved by a heterodyne detector. The quantum measurement of an observable $\hat O$ is obtained by preamplifying the heterodyne detector through an ideal amplifier of $\hat O$, and rescaling the outcome by the gain $g$. We give a general criterion which states when this preamplified heterodyne detection scheme approaches the ideal quantum measurement of $\hat O$ in the limit of infinite gain. We show that this criterion is satisfied and the ideal measurement is achieved for the case of the photon number operator and for the quadrature. For both operators the method is robust to nonunit quantum efficiency of the heterodyne detector. On the other hand, we show that the preamplified heterodyne detection scheme does not work for arbitrary observable of the field. As a counterexample, we prove that the simple quadratic function of the field $\hat K=i(a^{\dag 2}-a^2)/2$ has no corresponding polynomial function $f(\alpha,\bar \alpha)$---including the obvious choice $f=\hbox{Im}(\alpha^2)$---that allows the measurement of $\hat K$ through the preamplified heterodyne measurement scheme.
[ { "version": "v1", "created": "Fri, 16 Jul 1999 16:06:31 GMT" } ]
2009-10-31T00:00:00
[ [ "D'Ariano", "G. M.", "" ], [ "Sacchi", "M. F.", "" ], [ "Yuen", "H. P.", "" ] ]
quant-ph/9907058
C. Y. Chen
C.Y.Chen
Transition probability and preferential gauge
7 pages, O figure
null
null
null
quant-ph
null
This paper is concerned with whether or not the preferential gauge can ensure the uniqueness and correctness of results obtained from the standard time-dependent perturbation theory, in which the transition probability is formulated in terms of matrix elements of Hamiltonian.
[ { "version": "v1", "created": "Sat, 17 Jul 1999 02:22:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "C. Y.", "" ] ]
quant-ph/9907059
M. Czachor
Marek Czachor, Heinz-Dietrich Doebner, Monika Syty, and Krzysztof Wasylka
Von Neumann equations with time-dependent Hamiltonians and supersymmetric quantum mechanics
revtex, 3 eps files
Phys.Rev.E61:3325-3329,2000
10.1103/PhysRevE.61.3325
null
quant-ph
null
Starting with a time-independent Hamiltonian $h$ and an appropriately chosen solution of the von Neumann equation $i\dot\rho(t)=[ h,\rho(t)]$ we construct its binary-Darboux partner $h_1(t)$ and an exact scattering solution of $i\dot\rho_1(t)=[h_1(t),\rho_1(t)]$ where $h_1(t)$ is time-dependent and not isospectral to $h$. The method is analogous to supersymmetric quantum mechanics but is based on a different version of a Darboux transformation. We illustrate the technique by the example where $h$ corresponds to a 1-D harmonic oscillator. The resulting $h_1(t)$ represents a scattering of a soliton-like pulse on a three-level system.
[ { "version": "v1", "created": "Sat, 17 Jul 1999 15:02:46 GMT" } ]
2008-12-18T00:00:00
[ [ "Czachor", "Marek", "" ], [ "Doebner", "Heinz-Dietrich", "" ], [ "Syty", "Monika", "" ], [ "Wasylka", "Krzysztof", "" ] ]
quant-ph/9907060
Afshin Shafiee
Afshin Shafiee and Mehdi Golshani
The Possibility of Factorizable Contextual Hidden Variable Theories
10 pages, no figure
null
null
null
quant-ph
null
Considering an extended type of Bohm's version of EPR thought experiment, we derive Bell's inequality for the case of factorizable contextual hidden variable theories which are consistent with the predictions of quantum theory. Usually factorizability is associated with non-contextuality. Here, we show that factorizability is consistent with contextuality, even for the ordinary Bohm's version of EPR thought experiment.
[ { "version": "v1", "created": "Tue, 20 Jul 1999 08:19:31 GMT" }, { "version": "v2", "created": "Mon, 20 Sep 1999 07:19:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Shafiee", "Afshin", "" ], [ "Golshani", "Mehdi", "" ] ]
quant-ph/9907061
Thomas Durt
Thomas Durt
Comment on ``A local hidden variable model of quantum correlations exploiting the detection loophole''
2 pages
null
null
null
quant-ph
null
We study in this short comment the analogies and the differences that exist between several local hidden variable models.
[ { "version": "v1", "created": "Tue, 20 Jul 1999 09:36:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Durt", "Thomas", "" ] ]
quant-ph/9907062
Dae-Yup
Dae-Yup Song
Periodic Hamiltonian and Berry's phase in harmonic oscillators
11 pages, no figure, Phys. Rev. A (in press, as a Brief Reprt) An equality added in Eq.(16)
Phys.Rev.A61:024102,2000
10.1103/PhysRevA.61.024102
null
quant-ph
null
For a time-dependent $\tau$-periodic harmonic oscillator of two linearly independent homogeneous solutions of classical equation of motion which are bounded all over the time (stable), it is shown, there is a representation of states cyclic up to multiplicative constants under $\tau$-evolution or $2\tau$-evolution depending on the model. The set of the wave functions is complete. Berry's phase which could depend on the choice of representation can be defined under the $\tau$- or $2\tau$-evolution in this representation. If a homogeneous solution diverges as the time goes to infinity, it is shown that, Berry's phase can not be defined in any representation considered. Berry's phase for the driven harmonic oscillator is also considered. For the cases where Berry's phase can be defined, the phase is given in terms of solutions of the classical equation of motion.
[ { "version": "v1", "created": "Tue, 20 Jul 1999 10:06:28 GMT" }, { "version": "v2", "created": "Tue, 21 Sep 1999 07:55:30 GMT" }, { "version": "v3", "created": "Wed, 20 Oct 1999 08:49:56 GMT" } ]
2008-12-18T00:00:00
[ [ "Song", "Dae-Yup", "" ] ]
quant-ph/9907063
Lieven Vandersypen
Costantino S. Yannoni (1), Mark H. Sherwood (1), Lieven M.K. Vandersypen (1 and 2), Dolores C. Miller (1), Mark G. Kubinec (3), Isaac L. Chuang (1) ((1) IBM Almaden Research Center (2) Solid State and Photonics Laboratory, Stanford University (3) College of Chemistry, UC Berkeley)
Nuclear Magnetic Resonance Quantum Computing Using Liquid Crystal Solvents
Minor changes. Published in Appl. Phys. Lett. v.75, no.22, 29 Nov 1999, p.3563-3565
null
10.1063/1.125389
null
quant-ph
null
Liquid crystals offer several advantages as solvents for molecules used for nuclear magnetic resonance quantum computing (NMRQC). The dipolar coupling between nuclear spins manifest in the NMR spectra of molecules oriented by a liquid crystal permits a significant increase in clock frequency, while short spin-lattice relaxation times permit fast recycling of algorithms, and save time in calibration and signal-enhancement experiments. Furthermore, the use of liquid crystal solvents offers scalability in the form of an expanded library of spin-bearing molecules suitable for NMRQC. These ideas are demonstrated with the successful execution of a 2-qubit Grover search using a molecule ($^{13}$C$^{1}$HCl$_3$) oriented in a liquid crystal and a clock speed eight times greater than in an isotropic solvent. Perhaps more importantly, five times as many logic operations can be executed within the coherence time using the liquid crystal solvent.
[ { "version": "v1", "created": "Wed, 21 Jul 1999 00:57:33 GMT" }, { "version": "v2", "created": "Sun, 12 Dec 1999 05:35:31 GMT" } ]
2009-10-31T00:00:00
[ [ "Yannoni", "Costantino S.", "", "1 and 2" ], [ "Sherwood", "Mark H.", "", "1 and 2" ], [ "Vandersypen", "Lieven M. K.", "", "1 and 2" ], [ "Miller", "Dolores C.", "" ], [ "Kubinec", "Mark G.", "" ], [ "Chuang", "Isaac L.", "" ] ]
quant-ph/9907064
Gennadiy Filippov
G.M. Filippov
Interaction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field
29 pages, no figures
J.Exp.Theor.Phys. 86 (1998) 459; Zh.Eksp.Teor.Fiz. 113 (1998) 841-864
10.1134/1.558491
null
quant-ph
null
The work examines the effect of multiple photon emission on the quantum mechanical state of an electron emitting synchrotron radiation and on the intensity of that radiation. Calculations are done with the variant of perturbation theory based on the use of extended coherent states. A general formula is derived for the number of emitted photons, which allows for taking into account their mutual interaction. A model problem is used to demonstrate the absence of the infrared catastrophe in the modified perturbation theory. Finally, the electron density matrix is calculated, and the analysis of this matrix makes it possible to conclude that the degree of the elecron's spatial localization increases with the passage of time if the electron is being accelerated.
[ { "version": "v1", "created": "Wed, 21 Jul 1999 08:59:45 GMT" } ]
2015-06-26T00:00:00
[ [ "Filippov", "G. M.", "" ] ]
quant-ph/9907065
Levente Horvath
L. Horvath, B. C. Sanders, B. F. Wielinga
Non-simultaneity in two-photon coincidence spectroscopy
10 page, REVTeXs, 9 Postscript figures
null
null
null
quant-ph
null
Photon coincidence spectroscopy relies on detecting multiphoton emissions from the combined atom-cavity system in atomic beam cavity quantum electrodynamics experiments. These multiphoton emissions from the cavity are nearly simultaneous approximately on the cavity lifetime scale. We determine the optimal time for the detection window of photon pairs in two-photon coincidence spectroscopy. If the window time is too short, some photon pairs will not be detected; if the window time is too long, too many nearly coincident independent single photons will be falsely interpreted as being a photon pair. The paper has been submitted to The European Physical Journal D.
[ { "version": "v1", "created": "Wed, 21 Jul 1999 09:05:28 GMT" } ]
2009-09-25T00:00:00
[ [ "Horvath", "L.", "" ], [ "Sanders", "B. C.", "" ], [ "Wielinga", "B. F.", "" ] ]
quant-ph/9907066
Serge Massar
S. Massar and S. Popescu
How much information can be obtained by a quantum measurement?
13 pages
Phys.Rev. A61 (2000) 062303
10.1103/PhysRevA.61.062303
null
quant-ph
null
How much information about an unknown quantum state can be obtained by a measurement? We propose a model independent answer: the information obtained is equal to the minimum entropy of the outputs of the measurement, where the minimum is taken over all measurements which measure the same ``property'' of the state. This minimization is necessary because the measurement outcomes can be redundant, and this redundancy must be eliminated. We show that this minimum entropy is less or equal than the von Neumann entropy of the unknown states. That is a measurement can extract at most one meaningful bit from every qubit carried by the unknown states.
[ { "version": "v1", "created": "Wed, 21 Jul 1999 09:17:44 GMT" } ]
2009-10-31T00:00:00
[ [ "Massar", "S.", "" ], [ "Popescu", "S.", "" ] ]
quant-ph/9907067
Farrokh Vatan
P. Oscar Boykin, Tal Mor, Vwani Roychowdhury, and Farrokh Vatan
Algorithms on Ensemble Quantum Computers
16 pages, 4 figures
null
null
null
quant-ph
null
In ensemble (or bulk) quantum computation, measurements of qubits in an individual computer cannot be performed. Instead, only expectation values can be measured. As a result of this limitation on the model of computation, various important algorithms cannot be processed directly on such computers, and must be modified. We provide modifications of various existing protocols, including algorithms for universal fault--tolerant computation, Shor's factorization algorithm (which can be extended to any algorithm computing an NP function), and some search algorithms to enable processing them on ensemble quantum computers.
[ { "version": "v1", "created": "Wed, 21 Jul 1999 21:31:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Boykin", "P. Oscar", "" ], [ "Mor", "Tal", "" ], [ "Roychowdhury", "Vwani", "" ], [ "Vatan", "Farrokh", "" ] ]
quant-ph/9907068
Gheorghe-Sorin Paraoanu
Gh.-S. Paraoanu and H. Scutaru
Fidelity for Multimode Thermal Squeezed States
5 pages, RevTex, submitted to Phys. Rev. A
null
10.1103/PhysRevA.61.022306
null
quant-ph
null
In the theory of quantum transmission of information the concept of fidelity plays a fundamental role. An important class of channels, which can be experimentally realized in quantum optics, is that of Gaussian quantum channels. In this work we present a general formula for fidelity in the case of two arbitrary Gaussian states. From this formula one can get a previous result (H. Scutaru, J. Phys. A: Mat. Gen {\bf 31}, 3659 (1998)), for the case of a single mode; or, one can apply it to obtain a closed compact expression for multimode thermal states.
[ { "version": "v1", "created": "Wed, 21 Jul 1999 23:59:42 GMT" } ]
2009-10-31T00:00:00
[ [ "Paraoanu", "Gh. -S.", "" ], [ "Scutaru", "H.", "" ] ]
quant-ph/9907069
Francois Gieres
F. Gieres
Mathematical surprises and Dirac's formalism in quantum mechanics
Largely extended and reorganized version, with new title and abstract and with 2 figures added (published version), 54 pages
Rep.Prog.Phys. 63 (2000) 1893
10.1088/0034-4885/63/12/201
LYCEN 9960a
quant-ph cond-mat hep-th math-ph math.MP nucl-th physics.ed-ph
null
By a series of simple examples, we illustrate how the lack of mathematical concern can readily lead to surprising mathematical contradictions in wave mechanics. The basic mathematical notions allowing for a precise formulation of the theory are then summarized and it is shown how they lead to an elucidation and deeper understanding of the aforementioned problems. After stressing the equivalence between wave mechanics and the other formulations of quantum mechanics, i.e. matrix mechanics and Dirac's abstract Hilbert space formulation, we devote the second part of our paper to the latter approach: we discuss the problems and shortcomings of this formalism as well as those of the bra and ket notation introduced by Dirac in this context. In conclusion, we indicate how all of these problems can be solved or at least avoided.
[ { "version": "v1", "created": "Thu, 22 Jul 1999 14:40:49 GMT" }, { "version": "v2", "created": "Fri, 21 Dec 2001 16:45:21 GMT" } ]
2009-10-31T00:00:00
[ [ "Gieres", "F.", "" ] ]
quant-ph/9907070
Francois Gieres
F. Gieres
Formalisme de Dirac et surprises mathematiques en mecanique quantique
40 pages, French version of the preprint LYCEN 9960a
null
null
LYCEN 9960b
quant-ph
null
Differents formalismes sont utilises en mecanique quantique pour la description des etats et des observables : la mecanique ondulatoire, la mecanique matricielle et le formalisme invariant. Nous discutons les problemes et inconvenients du formalisme invariant ainsi que ceux de la notation des bras et kets introduite par Dirac dans ce contexte. Nous indiquons comment tous les problemes peuvent etre resolus ou du moins evites. Une serie d'exemples illustre les points souleves et montre comment l'insouciance mathematique peut aisement conduire a des contradictions mathematiques surprenantes.
[ { "version": "v1", "created": "Thu, 22 Jul 1999 14:59:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Gieres", "F.", "" ] ]
quant-ph/9907071
James P. Clemens
J. P. Clemens and P. R. Rice
Nonclassical effects in a driven atoms/cavity system in the presence of arbitrary driving field and dephasing
8 pages, 10 figures, minor typographical errors corrected, submitted to Phys Rev A
null
10.1103/PhysRevA.61.063810
null
quant-ph
null
We investigate the photon statistics of light transmitted from a driven optical cavity containing one or two atoms interacting with a single mode of the cavity field. We treat arbitrary driving fields with emphasis on departure from previous weak field results. In addition effects of dephasing due to atomic transit through the cavity mode are included using two different models. We find that both models show the nonclassical correlations are quite sensitive to dephasing. The effect of multiple atoms on the system dynamics is investigated by placing two atoms in the cavity mode at different positions, therefore having different coupling strengths.
[ { "version": "v1", "created": "Thu, 22 Jul 1999 21:35:51 GMT" }, { "version": "v2", "created": "Wed, 28 Jul 1999 14:49:04 GMT" } ]
2009-10-31T00:00:00
[ [ "Clemens", "J. P.", "" ], [ "Rice", "P. R.", "" ] ]
quant-ph/9907072
Mladen Pavicic
Mladen Pavicic
Spin correlated interferometry for polarized and unpolarized photons on a beam splitter
RevTeX, 19 pages, 1 ps figure, author web page at http://m3k.grad.hr/pavicic
Phys.Rev.A50:3486-3491,1994
10.1103/PhysRevA.50.3486
null
quant-ph
null
Spin interferometry of the 4th order for independent polarized as well as unpolarized photons arriving simultaneously at a beam splitter and exhibiting spin correlation while leaving it, is formulated and discussed in the quantum approach. Beam splitter is recognized as a source of genuine singlet photon states. Also, typical nonclassical beating between photons taking part in the interference of the 4th order is given a polarization dependent explanation.
[ { "version": "v1", "created": "Thu, 22 Jul 1999 22:03:06 GMT" } ]
2008-12-18T00:00:00
[ [ "Pavicic", "Mladen", "" ] ]
quant-ph/9907073
Timothy C. Ralph
T.C.Ralph
Continuous variable quantum cryptography
8 pages, 3 figures
Phys.Rev. A61 (2000) 010302
10.1103/PhysRevA.61.010302
null
quant-ph
null
We propose a quantum cryptographic scheme in which small phase and amplitude modulations of CW light beams carry the key information. The presence of EPR type correlations provides the quantum protection.
[ { "version": "v1", "created": "Thu, 22 Jul 1999 23:18:42 GMT" } ]
2021-05-26T00:00:00
[ [ "Ralph", "T. C.", "" ] ]
quant-ph/9907074
Doyeol Ahn
D. Ahn, J. H. Oh, K. Kimm, and S. W. Hwang
Time-convolutionless reduced-density-operator theory of a noisy quantum channel: a two-bit quantum gate for quantum information processing
null
null
10.1103/PhysRevA.61.052310
null
quant-ph
null
An exact reduced-density-operator for the output quantum states in time-convolutionless form was derived by solving the quantum Liouville equation which governs the dynamics of a noisy quantum channel by using a projection operator method and both advanced and retarded propagators in time. The formalism developed in this work is general enough to model a noisy quantum channel provided specific forms of the Hamiltonians for the system, reservoir, and the mutual interaction between the system and the reservoir are given. Then, we apply the formulation to model a two-bit quantum gate composed of coupled spin systems in which the Heisenberg coupling is controlled by the tunneling barrier between neighboring quantum dots. Gate Characteristics including the entropy, fidelity, and purity are calculated numerically for both mixed and entangled initial states.
[ { "version": "v1", "created": "Fri, 23 Jul 1999 06:30:02 GMT" } ]
2009-10-31T00:00:00
[ [ "Ahn", "D.", "" ], [ "Oh", "J. H.", "" ], [ "Kimm", "K.", "" ], [ "Hwang", "S. W.", "" ] ]
quant-ph/9907075
Dr. Bindu A. Bambha-
V. SunilKumar, B. A. Bambah, R. Jagannathan, P. K. Panigrahi and V. Srinivasan
Coherent States of Non-Linear Lie algebras: Application in Quantum Optics
10 pages, Latex
null
10.1088/1464-4266/2/2/311
null
quant-ph
null
We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general procedure to map these deformed algebras to appropriate Lie algebras. This is used, for the non compact cases, to obtain the annihilation operator coherent states, by finding the canonical conjugates of these operators. Generalized coherent states, in the Perelomov sense also follow from this construction. This allows us to explicitly construct coherent states associated with various quantum optical systems.
[ { "version": "v1", "created": "Fri, 23 Jul 1999 20:21:37 GMT" } ]
2015-06-26T00:00:00
[ [ "SunilKumar", "V.", "" ], [ "Bambah", "B. A.", "" ], [ "Jagannathan", "R.", "" ], [ "Panigrahi", "P. K.", "" ], [ "Srinivasan", "V.", "" ] ]
quant-ph/9907076
Steve K. Lamoreaux
S.K. Lamoreaux
Experimental Verifications of the Casimir Attractive Force between Solid Bodies
Submitted to Comments on Atomic and Molecular Physics, H.B.G. Casimir 90th Birthday Commemorative Issue; 2 figures
null
null
LA-UR-99-2515
quant-ph
null
A brief review of the recent experimental verifications of the Casimir force between extended bodies is presented. With modern techniques, it now appears feasible to test the force law with 1% precision; I will address the issues relating to the interpretation of experiments at this level of accuracy
[ { "version": "v1", "created": "Fri, 23 Jul 1999 21:02:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Lamoreaux", "S. K.", "" ] ]
quant-ph/9907077
Andreas Winter
Andreas Winter
Coding Theorems of Quantum Information Theory
80 pages, Ph.D. dissertation, Uni Bielefeld
null
null
null
quant-ph
null
Coding theorems and (strong) converses for memoryless quantum communication channels and quantum sources are proved: for the quantum source the coding theorem is reviewed, and the strong converse proven. For classical information transmission via quantum channels we give a new proof of the coding theorem, and prove the strong converse, even under the extended model of nonstationary channels. As a by-product we obtain a new proof of the famous Holevo bound. Then multi-user systems are investigated, and the capacity region for the quantum multiple access channel is determined. The last chapter contains a preliminary discussion of some models of compression of correlated quantum sources, and a proposal for a program to obtain operational meaning for quantum conditional entropy. An appendix features the introduction of a notation and calculus of entropy in quantum systems.
[ { "version": "v1", "created": "Sat, 24 Jul 1999 09:27:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Winter", "Andreas", "" ] ]
quant-ph/9907078
Teimuraz Nadareishvili
Ansor A. Khelashvili, George A. Khelashvili, Nikoloz Kiknadze, Temur P. Nadareishvili
On the Abnormal Type Anomalous Solutions of Quasipotential Equations
8 pages, LaTex, no figures
null
null
null
quant-ph
null
It is shown that there exist solutions of the quasipotential equations exhibiting the abnormal type behaviour of the Bethe-Salpeter equation.
[ { "version": "v1", "created": "Sat, 24 Jul 1999 15:09:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Khelashvili", "Ansor A.", "" ], [ "Khelashvili", "George A.", "" ], [ "Kiknadze", "Nikoloz", "" ], [ "Nadareishvili", "Temur P.", "" ] ]
quant-ph/9907079
Alexander Y. Vlasov
Alexander Yu. Vlasov (FRC/IRH)
Quantum Gates and Clifford Algebras
10 pages AMS-LaTeXe, Poster on TMR Network School on Quantum Computation and Quantum Information Theory, Italy, Torino, July 12-23 1999 (v2 with tiny changes and typo corrections)
null
null
null
quant-ph
null
Clifford algebras are used for definition of spinors. Because of using spin-1/2 systems as an adequate model of quantum bit, a relation of the algebras with quantum information science has physical reasons. But there are simple mathematical properties of the algebras those also justifies such applications. First, any complex Clifford algebra with 2n generators, Cl(2n,C), has representation as algebra of all 2^n x 2^n complex matrices and so includes unitary matrix of any quantum n-gate. An arbitrary element of whole algebra corresponds to general form of linear complex transformation. The last property is also useful because linear operators are not necessary should be unitary if they used for description of restriction of some unitary operator to subspace. The second advantage is simple algebraic structure of Cl(2n) that can be expressed via tenzor product of standard "building units" and similar with behavior of composite quantum systems. The compact notation with 2n generators also can be used in software for modeling of simple quantum circuits by modern conventional computers.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 21:59:35 GMT" }, { "version": "v2", "created": "Fri, 30 Jul 1999 15:41:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Vlasov", "Alexander Yu.", "", "FRC/IRH" ] ]
quant-ph/9907080
Arvind
Eqab M. Rabei and Arvind and R. Simon and N. Mukunda
Bargmann Invariants and Geometric Phases - a Generalised Connection
Accepted for publication in Physical Review A
Phys.Rev.A60:3397,1999
10.1103/PhysRevA.60.3397
null
quant-ph
null
We develop the widest possible generalisation of the well-known connection between quantum mechanical Bargmann invariants and geometric phases. The key notion is that of null phase curves in quantum mechanical ray and Hilbert spaces. Examples of such curves are developed. Our generalisation is shown to be essential to properly understand geometric phase results in the cases of coherent states and of Gaussian states. Differential geometric aspects of null phase curves are also briefly explored.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 05:05:00 GMT" } ]
2008-12-18T00:00:00
[ [ "Rabei", "Eqab M.", "" ], [ "Arvind", "", "" ], [ "Simon", "R.", "" ], [ "Mukunda", "N.", "" ] ]
quant-ph/9907081
Peter Loeber
Rudolf Ahlswede and Peter Loeber
Quantum Data Processing
8 pages
null
null
null
quant-ph
null
We prove a data processing inequality for quantum communication channels, which states that processing a received quantum state may never increase the mutual information between input and output states.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 14:22:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Ahlswede", "Rudolf", "" ], [ "Loeber", "Peter", "" ] ]
quant-ph/9907082
Habatwa Vincent Mweene
Habatwa Vincent Mweene (Physics Department, University of Zambia)
New Treatment of Systems of Compounded Angular Momentum
44 pages, LateX. The notation has been thoroughly revised to improve comprehension and to facilitate further development of the theory. Some typographical errors have been corrected
null
null
UNZAPHYS-006
quant-ph
null
The approach to quantum mechanics which we have used to derive the matrix treatment of spin from first principles is now employed to treat systems of compounded angular momentum. A general treatment is first given, which is then applied to the concrete cases of a spin-0 and a spin-1 system obtained by adding the spins of two spin-1/2 systems. Thus the probability amplitudes for measurements on the systems are derived, as well as the matrix vectors and operators corresponding to the systems. The matrix operators and states obtained are different from the standard forms and are much more generalized. The new results are applied to the case of joint measurements on the subsystems of such a system; this is a problem that has been made very topical by the high level of interest in the foundations of quantum mechanics. As a consequence of the insights arising from this treatment, we show that the Clebsch-Gordan coefficients are amenable to generalization, and we give the generalized forms for these cases.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 14:56:28 GMT" }, { "version": "v2", "created": "Mon, 18 Oct 1999 15:14:17 GMT" }, { "version": "v3", "created": "Wed, 15 Mar 2000 08:02:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Mweene", "Habatwa Vincent", "", "Physics Department, University of Zambia" ] ]
quant-ph/9907083
Stefano Mancini
S. Mancini, A. Gatti, L. A. Lugiato
Parametric image amplification in optical cavities
6 pages, 1 figure
Fortsch.Phys. 48 (2000) 665-669
10.1002/(SICI)1521-3978(200005)48:5/7<665::AID-PROP665>3.0.CO;2-4
null
quant-ph
null
We show the possibility of noiseless amplification of an optical image in cavities containing a parametric oscillator. We consider a confocal ring cavity with plane mirrors and compare with the case of planar cavity. In the latter case the system operates with severe spatial limitations, while in the confocal case, there is the possibility of preserving the signal-to-noise ratio while amplifying uniformely the entire image.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 15:21:50 GMT" } ]
2016-10-26T00:00:00
[ [ "Mancini", "S.", "" ], [ "Gatti", "A.", "" ], [ "Lugiato", "L. A.", "" ] ]
quant-ph/9907084
Stefano Mancini
S. Mancini, V. I. Man'ko
Spectrum of light scattered from a deformed Bose-Einstein condensate
10 pages, 2 figures, to appear in Phys. Lett. A
Phys.Lett. A259 (1999) 67-70
10.1016/S0375-9601(99)00400-4
null
quant-ph
null
The spectrum of light scattered from a Bose-Einstein condensate is studied in the limit of particle-number conservation. To this end, a description in terms of deformed bosons is invoked and this leads to a deviation from the usual predict spectrum's shape as soon as the number of particles decreases.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 15:38:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Mancini", "S.", "" ], [ "Man'ko", "V. I.", "" ] ]
quant-ph/9907085
James P. Clemens
J. P. Clemens, P. R. Rice, and L. M. Pedrotti
Output Spectrum of Single-Atom Lasers
11 pages, 20 figures, minor typographical errors corrected
null
null
null
quant-ph
null
We consider a laser composed of a single atom in a microcavity, with a coherent or incoherent pump. We consider both three- and four-level gain schemes, and examine the output spectrum of such lasers. We find that the linewidth generally scales as the inverse of the photon number. For large atom-field coupling, a vacuum-Rabi doublet structure is obtained. In the three-level case, this vacuum-Rabi splitting is apparent only for small intracavity photon numbers, and vanishes for large pumps. In the four-level scheme, the vacuum-Rabi structure appears at a nonzero pump level, and is maintained for large pumps, even when the intracavity photon number is larger than unity. This behavior is explained utilizing the quantum trajectory approach.
[ { "version": "v1", "created": "Mon, 26 Jul 1999 18:30:33 GMT" }, { "version": "v2", "created": "Tue, 27 Jul 1999 21:24:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Clemens", "J. P.", "" ], [ "Rice", "P. R.", "" ], [ "Pedrotti", "L. M.", "" ] ]
quant-ph/9907086
Fabrizio Tamburini
Fabrizio Tamburini, Sergio Ortolani, Antonio Bianchini (Dept. of Astronomy, University of Padua, Italy)
EPR statistical mixture of correlated states with fractional brownian process induced by third party interaction
4 pages, RevteX
null
null
null
quant-ph
null
This paper has been withdrawn by the author(s)
[ { "version": "v1", "created": "Tue, 27 Jul 1999 07:03:08 GMT" }, { "version": "v2", "created": "Thu, 19 Aug 1999 15:01:19 GMT" }, { "version": "v3", "created": "Thu, 25 May 2000 19:56:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Tamburini", "Fabrizio", "", "Dept. of\n Astronomy, University of Padua, Italy" ], [ "Ortolani", "Sergio", "", "Dept. of\n Astronomy, University of Padua, Italy" ], [ "Bianchini", "Antonio", "", "Dept. of\n Astronomy, University of Padua, Italy" ] ]
quant-ph/9907087
Alexander S. Holevo
A. S. Holevo
Reliability function of general classical-quantum channel
15 pages, partially reported at the Workshop on Complexity, Computation and Physics of Information, Cambridge, July 5-23, 1999; to appear in IEEE Trans. on Information Theory. Several corrections suggested by the referees are included
null
10.1109/18.868501
null
quant-ph
null
In information theory the reliability function and its bounds, describing the exponential behavior of the error probability, are the most important quantitative characteristics of the channel performance. From a general point of view, these bounds provide certain measures of distinguishability of a given set of states. In an earlier paper we introduced quantum analogs of the random coding and the expurgation lower bounds for the case of pure signal states. Here we discuss the general case, in particular, we prove the previously conjectured expurgation bound and find the quantum cutoff rate in the case of arbitrary mixed signal states.
[ { "version": "v1", "created": "Tue, 27 Jul 1999 11:36:00 GMT" }, { "version": "v2", "created": "Thu, 20 Jan 2000 08:51:56 GMT" } ]
2016-11-17T00:00:00
[ [ "Holevo", "A. S.", "" ] ]
quant-ph/9907088
Kwek LC
Xiang-Bin Wang, C.H. Oh and L.C. Kwek
On Bures fidelity of displaced squeezed thermal states
10 pages with RevTex required
Phys.Rev.A58:4186,1998
10.1103/PhysRevA.58.4186
null
quant-ph astro-ph
null
Fidelity plays a key role in quantum information and communication theory. Fidelity can be interpreted as the probability that a decoded message possesses the same information content as the message prior to coding and transmission. In this paper, we give a formula of Bures fidelity for displaced squeezed thermal states directly by the displacement and squeezing parameters and birefly discuss how the results can apply to quantum information theory.
[ { "version": "v1", "created": "Tue, 27 Jul 1999 12:45:49 GMT" } ]
2008-12-18T00:00:00
[ [ "Wang", "Xiang-Bin", "" ], [ "Oh", "C. H.", "" ], [ "Kwek", "L. C.", "" ] ]
quant-ph/9907090
Eduard Schmidt
Eduard Schmidt, Ludwig Knoell, and Dirk-Gunnar Welsch
Nonclassical correlations in damped N-solitons
4 pages, RevTeX, 2 PS-figures, contribution to the Sixth International Conference on Squeezed states and Uncertainty relations ICSSUR VI, Naples 24-29 May 1999
null
null
FSU TPI QO-07/99
quant-ph
null
The quantum statistics of damped higher-order optical solitons are analyzed numerically, using cumulant-expansion techniques in Gaussian approximation. A detailed analysis of nonclassical properties in both the time and the frequency domain is given, with special emphasis on the role of absorption. Highly nonclassical broadband spectral correlation is predicted.
[ { "version": "v1", "created": "Tue, 27 Jul 1999 16:14:55 GMT" }, { "version": "v2", "created": "Fri, 30 Jul 1999 21:17:10 GMT" } ]
2009-09-25T00:00:00
[ [ "Schmidt", "Eduard", "" ], [ "Knoell", "Ludwig", "" ], [ "Welsch", "Dirk-Gunnar", "" ] ]
quant-ph/9907091
Massimiliano F. Sacchi
G. M. D'Ariano, L. Maccone, M. F. Sacchi, A. Garuccio
Tomographic test of Bell's inequality
RevTex. 8 pages, 3 ps figures. To appear on J. Opt. B
J.Opt.B1:576,1999
10.1088/1464-4266/1/5/314
null
quant-ph
null
We present a homodyne detection scheme to verify Bell's inequality on correlated optical beams at the output of a nondegenerate parametric amplifier. Our approach is based on tomographic measurement of the joint detection probabilities, which allows high quantum efficiency at detectors. A self-homodyne scheme is suggested to simplify the experimental set-up.
[ { "version": "v1", "created": "Wed, 28 Jul 1999 09:28:49 GMT" } ]
2011-03-28T00:00:00
[ [ "D'Ariano", "G. M.", "" ], [ "Maccone", "L.", "" ], [ "Sacchi", "M. F.", "" ], [ "Garuccio", "A.", "" ] ]
quant-ph/9907092
Ned Lynne Floyd
Edward R. Floyd
Classical Limit of the Trajectory Representation of Quantum Mechanics, Loss of Information and Residual Indeterminacy
12 pages LaTeX 2.09. No figures. Accepted by Int. J. Mod. Phys. A. Minor revisions to conform with galley proofs. Acknowledgements expanded. References updated. Key words: classical limits, trajectory interpretation, Planck's correspondence principle, residual indeterminacy, 't Hooft's information loss and equivalence classes, Heisenberg uncertainty principle. Subj-clas: Quantum Physics; Mathematical Physics
Int.J.Mod.Phys. A15 (2000) 1363-1378
10.1142/S0217751X00000604
null
quant-ph hep-th math-ph math.MP
null
The trajectory representation in the classical limit (\hbar \to 0) manifests a residual indeterminacy. We show that the trajectory representation in the classical limit goes to neither classical mechanics (Planck's correspondence principle) nor statistical mechanics. This residual indeterminacy is contrasted to Heisenberg uncertainty. We discuss the relationship between indeterminacy and 't Hooft's information loss and equivalence classes.
[ { "version": "v1", "created": "Wed, 28 Jul 1999 14:56:59 GMT" }, { "version": "v2", "created": "Sat, 27 Nov 1999 05:54:13 GMT" }, { "version": "v3", "created": "Sat, 12 Feb 2000 17:26:57 GMT" } ]
2009-10-31T00:00:00
[ [ "Floyd", "Edward R.", "" ] ]
quant-ph/9907093
James P. Clemens
J. P. Clemens, P. R. Rice, P. K. Rungta, and R. J. Brecha
Two-Level Atom in an Optical Parametric Oscillator: Spectra of Transmitted and Fluorescent Fields in the Weak Driving Field Limit
10 pages, 17 figures, submitted to Phys Rev A
null
10.1103/PhysRevA.62.033802
null
quant-ph
null
We consider the interaction of a two-level atom inside an optical parametric oscillator. In the weak driving field limit, we essentially have an atom-cavity system driven by the occasional pair of correlated photons, or weakly squeezed light. We find that we may have holes, or dips, in the spectrum of the fluorescent and transmitted light. This occurs even in the strong-coupling limit when we find holes in the vacuum-Rabi doublet. Also, spectra with a sub-natural linewidth may occur. These effects disappear for larger driving fields, unlike the spectral narrowing obtained in resonance fluorescence in a squeezed vacuum; here it is important that the squeezing parameter $N$ tends to zero so that the system interacts with only one correlated pair of photons at a time. We show that a previous explanation for spectral narrowing and spectral holes for incoherent scattering is not applicable in the present case, and propose a new explanation. We attribute these anomalous effects to quantum interference in the two-photon scattering of the system.
[ { "version": "v1", "created": "Wed, 28 Jul 1999 19:11:52 GMT" } ]
2009-10-31T00:00:00
[ [ "Clemens", "J. P.", "" ], [ "Rice", "P. R.", "" ], [ "Rungta", "P. K.", "" ], [ "Brecha", "R. J.", "" ] ]
quant-ph/9907094
Jose L. Cereceda
Jose L. Cereceda
A simple proof of the converse of Hardy's theorem
LaTeX, 16 pages + 2 eps figures
null
null
null
quant-ph
null
In this paper we provide a simple proof of the fact that for a system of two spin-1/2 particles, and for a choice of observables, there is a unique state which shows Hardy-type nonlocality. Moreover, an explicit expression for the probability that an ensemble of particle pairs prepared in such a state exhibits a Hardy-type nonlocality contradiction is given in terms of two independent parameters related to the observables involved. Incidentally, a wrong statement expressed in Mermin's proof of the converse [N.D. Mermin, Am. J. Phys. 62, 880 (1994)] is pointed out.
[ { "version": "v1", "created": "Wed, 28 Jul 1999 20:03:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Cereceda", "Jose L.", "" ] ]
quant-ph/9907095
Jean-Michel Courty
Jean-Michel Courty, Serge Reynaud, (Laboratoire Kastler Brossel)
Quantum fluctuations for drag free geodesic motion
4 pages, 1 figure, RevTeX, minor changes
J.Opt.B Quant.Semiclass.Opt. 2 (2000) 90-93
10.1088/1464-4266/2/2/304
null
quant-ph
null
The drag free technique is used to force a proof mass to follow a geodesic motion. The mass is protected from perturbations by a cage, and the motion of the latter is actively controlled to follow the motion of the proof mass. We present a theoretical analysis of the effects of quantum fluctuations for this technique. We show that a perfect drag free operation is in principle possible at the quantum level, in spite of the back action exerted on the mass by the position sensor.
[ { "version": "v1", "created": "Thu, 29 Jul 1999 14:11:04 GMT" }, { "version": "v2", "created": "Tue, 14 Dec 1999 13:46:57 GMT" } ]
2009-10-31T00:00:00
[ [ "Courty", "Jean-Michel", "" ], [ "Reynaud", "Serge", "" ] ]
quant-ph/9907096
Dr. Daniel A. Lidar
Daniel A. Lidar, David Bacon, Julia Kempe and K. Birgitta Whaley
Protecting Quantum Information Encoded in Decoherence Free States Against Exchange Errors
7 pages, no figures. Discussion in section V.A. significantly expanded. Several small changes. Two authors added
Phys. Rev. A Vol. 61(5), p. 52307 (2000)
10.1103/PhysRevA.61.052307
null
quant-ph cond-mat
null
The exchange interaction between identical qubits in a quantum information processor gives rise to unitary two-qubit errors. It is shown here that decoherence free subspaces (DFSs) for collective decoherence undergo Pauli errors under exchange, which however do not take the decoherence free states outside of the DFS. In order to protect DFSs against these errors it is sufficient to employ a recently proposed concatenated DFS-quantum error correcting code scheme [D.A. Lidar, D. Bacon and K.B. Whaley, Phys. Rev. Lett. {\bf 82}, 4556 (1999)].
[ { "version": "v1", "created": "Thu, 29 Jul 1999 19:51:14 GMT" }, { "version": "v2", "created": "Fri, 6 Aug 1999 21:20:20 GMT" }, { "version": "v3", "created": "Thu, 2 Dec 1999 21:28:54 GMT" } ]
2016-09-08T00:00:00
[ [ "Lidar", "Daniel A.", "" ], [ "Bacon", "David", "" ], [ "Kempe", "Julia", "" ], [ "Whaley", "K. Birgitta", "" ] ]
quant-ph/9907097
GuangCan Guo
Chuan-Wei Zhang, Zi-Yang Wang, Chuan-Feng Li, and Guang-Can Guo (University of Science and Technology of China)
Realizing probabilistic identification and cloning of quantum states via universal quantum logic gates
9 Pages, 7 Figures, REVTeX, final version
Phys. Rev. A 61, 062310 (2000)
10.1103/PhysRevA.61.062310
null
quant-ph
null
Probabilistic quantum cloning and identifying machines can be constructed via unitary-reduction processes [Duan and Guo, Phys. Rev. Lett. 80, 4999 (1998)]. Given the cloning (identifying) probabilities, we derive an explicit representation of the unitary evolution and corresponding Hamiltonian to realize probabilistic cloning (identification). The logic networks are obtained by decomposing the unitary representation into universal quantum logic operations. The robustness of the networks is also discussed. Our method is suitable for a $k$-partite system, such as quantum computer, and may be generalized to general state-dependent cloning and identification.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 02:19:16 GMT" }, { "version": "v2", "created": "Sat, 22 Jan 2000 08:34:43 GMT" }, { "version": "v3", "created": "Sun, 28 May 2000 14:16:49 GMT" } ]
2009-10-31T00:00:00
[ [ "Zhang", "Chuan-Wei", "", "University of Science and Technology of China" ], [ "Wang", "Zi-Yang", "", "University of Science and Technology of China" ], [ "Li", "Chuan-Feng", "", "University of Science and Technology of China" ], [ "Guo", "Guang-Can", "", "University of Science and Technology of China" ] ]
quant-ph/9907098
Guifre Vidal Bonafont
Rolf Tarrach and Guifre Vidal
Universality of optimal measurements
Revtex, 5 pages, no figures
Phys. Rev. A 60, R3339 (1999)
10.1103/PhysRevA.60.R3339
null
quant-ph
null
We present optimal and minimal measurements on identical copies of an unknown state of a qubit when the quality of measuring strategies is quantified with the gain of information (Kullback of probability distributions). We also show that the maximal gain of information occurs, among isotropic priors, when the state is known to be pure. Universality of optimal measurements follows from our results: using the fidelity or the gain of information, two different figures of merits, leads to exactly the same conclusions. We finally investigate the optimal capacity of $N$ copies of an unknown state as a quantum channel of information.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 07:47:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Tarrach", "Rolf", "" ], [ "Vidal", "Guifre", "" ] ]
quant-ph/9907099
Sergei Kulik
A.V.Burlakov, M.V.Chekhova, O.A.Karabutova, D.N.Klyshko, and S.P.Kulik
Polarization state of a biphoton: quantum ternary logic
null
null
10.1103/PhysRevA.60.R4209
null
quant-ph
null
Polarization state of biphoton light generated via collinear frequency-degenerate spontaneous parametric down-conversion is considered. A biphoton is described by a three-component polarization vector, its arbitrary transformations relating to the SU(3) group. A subset of such transformations, available with retardation plates, is realized experimentally. In particular, two independent orthogonally polarized beams of type-I biphotons are transformed into a beam of type-II biphotons. Polarized biphotons are suggested as ternary analogs of two-state quantum systems (qubits).
[ { "version": "v1", "created": "Fri, 30 Jul 1999 08:01:19 GMT" } ]
2009-10-31T00:00:00
[ [ "Burlakov", "A. V.", "" ], [ "Chekhova", "M. V.", "" ], [ "Karabutova", "O. A.", "" ], [ "Klyshko", "D. N.", "" ], [ "Kulik", "S. P.", "" ] ]
quant-ph/9907100
Walter T. Strunz
Walter T. Strunz, Lajos Diosi, Nicolas Gisin, and Ting Yu
Quantum trajectories for Brownian motion
4 pages, 3 eps figures
Phys. Rev. Lett. 83, 4909 (1999)
10.1103/PhysRevLett.83.4909
null
quant-ph
null
We present the stochastic Schroedinger equation for the dynamics of a quantum particle coupled to a high temperature environment and apply it the dynamics of a driven, damped, nonlinear quantum oscillator. Apart from an initial slip on the environmental memory time scale, in the mean, our result recovers the solution of the known non-Lindblad quantum Brownian motion master equation. A remarkable feature of our approach is its localization property: individual quantum trajectories remain localized wave packets for all times, even for the classically chaotic system considered here, the localization being stronger the smaller $\hbar$.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 12:10:17 GMT" } ]
2009-10-31T00:00:00
[ [ "Strunz", "Walter T.", "" ], [ "Diosi", "Lajos", "" ], [ "Gisin", "Nicolas", "" ], [ "Yu", "Ting", "" ] ]
quant-ph/9907101
Stefan Weigert
Stefan Weigert
Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin States
Latex2e, 4 pages
J. Opt. B 56 (2004) 489
10.1088/1464-4266/6/12/001
null
quant-ph
null
The expectation values of a hermitean operator A in (2s+1)(2s+1) specific coherent states of a spin are known to determine the operator unambiguously. As shown here, (almost) any other (2s+1)(2s+1) coherent states also provide a basis for self-adjoint operators. This is proven by considering the determinant of the Gram matrix associated with the coherent state projectors as a Hamiltonian of a fictitious classical spin system.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 12:37:15 GMT" } ]
2015-06-26T00:00:00
[ [ "Weigert", "Stefan", "" ] ]
quant-ph/9907102
Lutz Polley
L. Polley
Quantization via hopping amplitudes: Schroedinger equation and free QED
LaTeX2e, 12 pages, no figures
null
null
null
quant-ph
null
Schroedinger's equation with scalar and vector potentials is shown to describe "nothing but" hopping of a quantum particle on a lattice; any spatial variation of the hopping amplitudes acts like an external electric and/or magnetic field. The main point of the argument is the superposition principle for state vectors; Lagrangians, path integrals, or classical Hamiltonians are not (!) required. Analogously, the Hamiltonian of the free electromagnetic field is obtained as a twofold continuum limit of unitary hopping in Z(N) link configuration space, if gauge invariance and C and P symmetries are imposed.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 12:46:02 GMT" }, { "version": "v2", "created": "Fri, 3 Mar 2000 14:48:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Polley", "L.", "" ] ]
quant-ph/9907103
Jiannis Pachos
Jiannis Pachos, Paolo Zanardi and Mario Rasetti
Non-Abelian Berry connections for quantum computation
5 pages, no figures, revtex, minor changes, version accepted by Phys. Rev A (rapid comm.)
Phys.Rev. A61 (2000) 010305
10.1103/PhysRevA.61.010305
null
quant-ph hep-th
null
In the holonomic approach to quantum computation information is encoded in a degenerate eigenspace of a parametric family of Hamiltonians and manipulated by the associated holonomic gates. These are realized in terms of the non-abelian Berry connection and are obtained by driving the control parameters along adiabatic loops. We show how it is possible, for a specific model, to explicitly determine the loops generating any desired logical gate, thus producing a universal set of unitary transformations. In a multi-partite system unitary transformations can be implemented efficiently by sequences of local holonomic gates. Moreover a conceptual scheme for obtaining the required Hamiltonian family, based on frequently repeated pulses, is discussed, together with a possible process whereby the initial state can be prepared and the final one can be measured.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 13:39:28 GMT" }, { "version": "v2", "created": "Thu, 11 Nov 1999 16:10:10 GMT" } ]
2009-10-31T00:00:00
[ [ "Pachos", "Jiannis", "" ], [ "Zanardi", "Paolo", "" ], [ "Rasetti", "Mario", "" ] ]