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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", "" ] ]
quant-ph/9907104
Gernot Alber
G. Alber
Entanglement and the linearity of quantum mechanics
Proceedings of the X International Symposium on Theoretical Electrical Engineering, ISTET 99, Magdeburg
null
null
null
quant-ph
null
Optimal universal entanglement processes are discussed which entangle two quantum systems in an optimal way for all possible initial states. It is demonstrated that the linear character of quantum theory which enforces the peaceful coexistence of quantum mechanics and relativity imposes severe restrictions on the structure of the resulting optimally entangled states. Depending on the dimension of the one-particle Hilbert space such a universal process generates either a pure Bell state or mixed entangled states. In the limit of very large dimensions of the one-particle Hilbert space the von-Neumann entropy of the optimally entangled state differs from the one of the maximally mixed two-particle state by one bit only.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 14:26:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Alber", "G.", "" ] ]
quant-ph/9907105
Astrid Lambrecht
Astrid Lambrecht and Serge Reynaud
Casimir force between metallic mirrors
10 pages, 10 figures, uses RevTeX, in v2 minor misprints corrected, two references updated
Eur.Phys.J. D8 (2000) 309-318
10.1007/s100530050041
null
quant-ph
null
We study the influence of finite conductivity of metals on the Casimir effect. We put the emphasis on explicit theoretical evaluations which can help comparing experimental results with theory. The reduction of the Casimir force is evaluated for plane metallic plates. The reduction of the Casimir energy in the same configuration is also calculated. It can be used to infer the reduction of the force in the plane-sphere geometry through the `proximity theorem'. Frequency dependent dielectric response functions of the metals are represented either by the simple plasma model or, more accurately, by using the optical data known for the metals used in recent experiments, that is Al, Au and Cu. In the two latter cases, the results obtained here differ significantly from those published recently.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 14:33:18 GMT" }, { "version": "v2", "created": "Wed, 22 Sep 1999 12:09:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Lambrecht", "Astrid", "" ], [ "Reynaud", "Serge", "" ] ]
quant-ph/9907106
Gernot Alber
G. Alber and O. Zobay
Semiclassical interferences and catastrophes in the ionization of Rydberg atoms by half-cycle pulses
null
Phys. Rev. A 59, R3174 (1999)
10.1103/PhysRevA.59.R3174
null
quant-ph
null
A multi-dimensional semiclassical description of excitation of a Rydberg electron by half-cycle pulses is developed and applied to the study of energy- and angle-resolved ionization spectra. Characteristic novel phenomena observable in these spectra such as interference oscillations and semiclassical glory and rainbow scattering are discussed and related to the underlying classical dynamics of the Rydberg electron. Modifications to the predictions of the impulse approximation are examined that arise due to finite pulse durations.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 14:45:43 GMT" } ]
2009-10-31T00:00:00
[ [ "Alber", "G.", "" ], [ "Zobay", "O.", "" ] ]
quant-ph/9907107
Gernot Alber
O. Zobay and G. Alber
Excitation of weakly bound Rydberg electrons by half-cycle pulses
Submitted to Phys. Rev. A
null
10.1103/PhysRevA.60.1314
null
quant-ph
null
The interaction of a weakly bound Rydberg electron with an electromagnetic half-cycle pulse (HCP) is described with the help of a multidimensional semiclassical treatment. This approach relates the quantum evolution of the electron to its underlying classical dynamics. The method is nonperturbative and is valid for arbitrary spatial and temporal shapes of the applied HCP. On the basis of this approach angle- and energy-resolved spectra resulting from the ionization of Rydberg atoms by HCPs are analyzed. The different types of spectra obtainable in the sudden-impact approximation are characterized in terms of the appearing semiclassical scattering phenomena. Typical modifications of the spectra originating from finite pulse effects are discussed.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 14:50:09 GMT" } ]
2009-10-31T00:00:00
[ [ "Zobay", "O.", "" ], [ "Alber", "G.", "" ] ]
quant-ph/9907108
Gernot Alber
G. Alber
Destruction of quantum coherence and wave packet dynamic
to be published in `The Physics and Chemistry of Wave Packets', edited by J. A. Yeazell and T. Uzer (Wiley, N. Y.)
null
null
null
quant-ph
null
The main aim of this article is to discuss characteristic physical phenomena which govern the destruction of quantum coherence of material wave packets.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 15:38:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Alber", "G.", "" ] ]
quant-ph/9907109
Oliver Cohen
Oliver Cohen
Counterfactual entanglement and nonlocal correlations in separable states
null
Phys. Rev. A, volume 60, page 80 (1999)
10.1103/PhysRevA.60.80
null
quant-ph
null
It is shown that the outcomes of measurements on systems in separable mixed states can be partitioned, via subsequent measurements on a disentangled extraneous system, into subensembles that display the statistics of entangled states. This motivates the introduction of the concept of "counterfactual" entanglement, which can be associated with all separable mixed states including those that are factorable. This type of entanglement gives rise to a new kind of postselection-induced Bell inequality violation. The significance of counterfactual entanglement, and its physical implications, are assessed.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 21:48:35 GMT" } ]
2016-09-08T00:00:00
[ [ "Cohen", "Oliver", "" ] ]
quant-ph/9907110
Oliver Cohen
Oliver Cohen
Quantifying nonorthogonality
Accepted for publication in Phys. Rev. A
null
10.1103/PhysRevA.60.4349
null
quant-ph
null
An exploratory approach to the possibility of analyzing nonorthogonality as a quantifiable property is presented. Three different measures for the nonorthogonality of pure states are introduced, and one of these measures is extended to single-particle density matrices using methods that are similar to recently introduced techniques for quantifying entanglement. Several interesting special cases are considered. It is pointed out that a measure of nonorthogonality can meaningfully be associated with a single mixed quantum state. It is then shown how nonorthogonality can be unlocked with classical information; this analysis reveals interesting inequalities and points to a number of connections between nonorthogonality and entanglement.
[ { "version": "v1", "created": "Fri, 30 Jul 1999 22:00:15 GMT" } ]
2009-10-31T00:00:00
[ [ "Cohen", "Oliver", "" ] ]
quant-ph/9908001
GuangCan Guo
Chuan-Wei Zhang, Chuan-Feng Li, Guang-Can Guo (University of Science and Technology of China)
General Strategies for Discrimination of Quantum States
8 Pages, No Figure, REVTeX
Phys. Lett. A 261 (1999) 25.
10.1016/S0375-9601(99)00566-6
null
quant-ph
null
We derive general discrimination of quantum states chosen from a certain set, given initial $M$ copies of each state, and obtain the matrix inequality, which describe the bound between the maximum probability of correctly determining and that of error. The former works are special cases of our results.
[ { "version": "v1", "created": "Sat, 31 Jul 1999 07:52:55 GMT" } ]
2009-10-31T00:00:00
[ [ "Zhang", "Chuan-Wei", "", "University of Science\n and Technology of China" ], [ "Li", "Chuan-Feng", "", "University of Science\n and Technology of China" ], [ "Guo", "Guang-Can", "", "University of Science\n and Technology of China" ] ]
quant-ph/9908002
GuangCan Guo
Chuan-Wei Zhang, Chuan-Feng Li, Guang-Can Guo
Realization of Probabilistic Identification and Clone of Quantum-States II Multiparticles System
18 Pages, 3 Figures, ReVTeX
null
null
null
quant-ph
null
We realize the probabilistic cloning and identifying linear independent quantum states of multi-particles system, given prior probability, with universal quantum logic gates using the method of unitary representation. Our result is universal for separate state and entanglement. We also provide the realization in the condition given $M$ initial copies for each state.
[ { "version": "v1", "created": "Sat, 31 Jul 1999 08:39:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhang", "Chuan-Wei", "" ], [ "Li", "Chuan-Feng", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/9908003
GuangCan Guo
Chuan-Wei Zhang, Chuan-Feng Li, and Guang-Can Guo (University of Science and Technology of China)
Quantum Clone and States Estimation for n-state System
4 Pages, No Figure
Phys. Lett. A 271 (2000) 31
10.1016/S0375-9601(00)00352-2
null
quant-ph
null
We derive a lower bound for the optimal fidelity for deterministic cloning a set of n pure states. In connection with states estimation, we obtain a lower bound about average maximum correct states estimation probability.
[ { "version": "v1", "created": "Sat, 31 Jul 1999 08:57:22 GMT" }, { "version": "v2", "created": "Wed, 4 Aug 1999 02:55:18 GMT" }, { "version": "v3", "created": "Sat, 22 Jan 2000 08:35:45 GMT" }, { "version": "v4", "created": "Wed, 14 Jun 2000 08:54:58 GMT" } ]
2009-10-31T00:00:00
[ [ "Zhang", "Chuan-Wei", "", "University of\n Science and Technology of China" ], [ "Li", "Chuan-Feng", "", "University of\n Science and Technology of China" ], [ "Guo", "Guang-Can", "", "University of\n Science and Technology of China" ] ]
quant-ph/9908004
Sougato Bose
S. Bose, P. L. Knight, M. B. Plenio, V. Vedral
Proposal for teleportation of an atomic state via cavity decay
Version to appear in PRL (Dec). Small changes including title
null
10.1103/PhysRevLett.83.5158
null
quant-ph
null
We show how the state of an atom trapped in a cavity can be teleported to a second atom trapped in a distant cavity simply by detecting photon decays from the cavities. This is a rare example of a decay mechanism playing a constructive role in quantum information processing. The scheme is comparatively easy to implement, requiring only the ability to trap a single three level atom in a cavity.
[ { "version": "v1", "created": "Sun, 1 Aug 1999 16:07:21 GMT" }, { "version": "v2", "created": "Mon, 6 Dec 1999 02:31:01 GMT" } ]
2009-10-31T00:00:00
[ [ "Bose", "S.", "" ], [ "Knight", "P. L.", "" ], [ "Plenio", "M. B.", "" ], [ "Vedral", "V.", "" ] ]
quant-ph/9908005
JeongHyeong Park
JeongHyeong Park and Dae-Yup Song
Berry phase in the simple harmonic oscillator
LaTex, 1 figure
null
null
null
quant-ph
null
Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined under evolution of the half of period of the classical motions, as well as under evolution of the period. The Berry phases do {\em not} depend on the mass or angular frequency of the oscillator. The driven harmonic oscillator is also considered, and the Berry phase is given in terms of Fourier coefficients of the external force and parameters which determine the representation.
[ { "version": "v1", "created": "Sun, 1 Aug 1999 16:39:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Park", "JeongHyeong", "" ], [ "Song", "Dae-Yup", "" ] ]
quant-ph/9908006
Benni Reznik
Alonso Botero and Benni Reznik
Quantum Communication Protocol Employing Weak Measurements
5 pages, Revtex, 1 figure. A second protocol is added, where by a similar set of weak measurement Alice can send, instead of receiving, a message to Bob. The security question for the latter protocol is discussed
Phys. Rev. A 61, 050301 (R), (2000).
10.1103/PhysRevA.61.050301
null
quant-ph
null
We propose a communication protocol exploiting correlations between two events with a definite time-ordering: a) the outcome of a {\em weak measurement} on a spin, and b) the outcome of a subsequent ordinary measurement on the spin. In our protocol, Alice, first generates a "code" by performing weak measurements on a sample of N spins. The sample is sent to Bob, who later performs a post-selection by measuring the spin along either of two certain directions. The results of the post-selection define the "key', which he then broadcasts publicly. Using both her previously generated code and this key, Alice is able to infer the {\em direction} chosen by Bob in the post-selection. Alternatively, if Alice broadcasts publicly her code, Bob is able to infer from the code and the key the direction chosen by Alice for her weak measurement. Two possible experimental realizations of the protocols are briefly mentioned.
[ { "version": "v1", "created": "Sun, 1 Aug 1999 23:49:09 GMT" }, { "version": "v2", "created": "Mon, 27 Sep 1999 08:48:05 GMT" } ]
2009-10-31T00:00:00
[ [ "Botero", "Alonso", "" ], [ "Reznik", "Benni", "" ] ]
quant-ph/9908007
Jun Ye
J. Ye, D. W. Vernooy, H. J. Kimble
Trapping of single atoms in cavity QED
4 pages, 4 figures
null
10.1103/PhysRevLett.83.4987
null
quant-ph
null
By integrating the techniques of laser cooling and trapping with those of cavity quantum electrodynamics (QED), single Cesium atoms have been trapped within the mode of a small, high finesse optical cavity in a regime of strong coupling. The observed lifetime for individual atoms trapped within the cavity mode is $\tau \approx 28$ms, and is limited by fluctuations of light forces arising from the far-detuned intracavity field. This initial realization of trapped atoms in cavity QED should enable diverse protocols in quantum information science.
[ { "version": "v1", "created": "Mon, 2 Aug 1999 00:49:45 GMT" } ]
2009-10-31T00:00:00
[ [ "Ye", "J.", "" ], [ "Vernooy", "D. W.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/9908008
Erich Joos
Erich Joos
Elements of Environmental Decoherence
Latex, 16 pages. To be published in the proceedings of the Bielefeld conference on ``Decoherence: Theoretical, Experimental, and Conceptual Problems", edited by P. Blanchard, D. Giulini, E. Joos, C. Kiefer, and I.-O. Stamatescu (Springer 1999)
null
null
null
quant-ph
null
In this contribution I give a brief introduction to the essential concepts and mechanisms of decoherence by the environment. The emphasis will be not so much on technical details but rather on conceptual issues and the impact on the interpretation problem of quantum theory.
[ { "version": "v1", "created": "Mon, 2 Aug 1999 12:26:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Joos", "Erich", "" ] ]
quant-ph/9908009
Dagomir Kaszlikowski
Dagomir Kaszlikowski, Marek Zukowski
Bell theorem involving all possible local measurements
null
null
10.1103/PhysRevA.61.022114
null
quant-ph
null
The Bell theorem for a pair of two-state systems in a singlet state is formulated for the entire range of measurement settings.
[ { "version": "v1", "created": "Mon, 2 Aug 1999 16:44:35 GMT" } ]
2009-10-31T00:00:00
[ [ "Kaszlikowski", "Dagomir", "" ], [ "Zukowski", "Marek", "" ] ]
quant-ph/9908010
Daniel Gottesman
Daniel Gottesman and Isaac L. Chuang
Quantum Teleportation is a Universal Computational Primitive
6 pages, REVTeX, 6 epsf figures
Nature 402, 390-393 (1999)
10.1038/46503
null
quant-ph
null
We present a method to create a variety of interesting gates by teleporting quantum bits through special entangled states. This allows, for instance, the construction of a quantum computer based on just single qubit operations, Bell measurements, and GHZ states. We also present straightforward constructions of a wide variety of fault-tolerant quantum gates.
[ { "version": "v1", "created": "Mon, 2 Aug 1999 21:36:39 GMT" } ]
2009-10-31T00:00:00
[ [ "Gottesman", "Daniel", "" ], [ "Chuang", "Isaac L.", "" ] ]
quant-ph/9908011
Ole Steuernagel
Ole Steuernagel
Uncertainty is complementary to Complementarity
3 pages, 2 figures
null
null
null
quant-ph
null
For any ideal two-path interferometer it is shown that the wave-particle duality of quantum mechanics implies Heisenberg's uncertainty relation and vice versa. It is conjectured that complementarity and uncertainty are two aspects of the same general principle.
[ { "version": "v1", "created": "Tue, 3 Aug 1999 12:55:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Steuernagel", "Ole", "" ] ]
quant-ph/9908012
Ching-Hua Tseng
C. H. Tseng, S. Somaroo, Y. Sharf, E. Knill, R. Laflamme, T. F. Havel, D. G. Cory
Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
5 pages, 1 figure
null
10.1103/PhysRevA.61.012302
null
quant-ph
null
Extensions of average Hamiltonian theory to quantum computation permit the design of arbitrary Hamiltonians, allowing rotations throughout a large Hilbert space. In this way, the kinematics and dynamics of any quantum system may be simulated by a quantum computer. A basis mapping between the systems dictates the average Hamiltonian in the quantum computer needed to implement the desired Hamiltonian in the simulated system. The flexibility of the procedure is illustrated with NMR on 13-C labelled Alanine by creating the non-physical Hamiltonian ZZZ corresponding to a three body interaction.
[ { "version": "v1", "created": "Tue, 3 Aug 1999 13:40:33 GMT" } ]
2009-10-31T00:00:00
[ [ "Tseng", "C. H.", "" ], [ "Somaroo", "S.", "" ], [ "Sharf", "Y.", "" ], [ "Knill", "E.", "" ], [ "Laflamme", "R.", "" ], [ "Havel", "T. F.", "" ], [ "Cory", "D. G.", "" ] ]
quant-ph/9908013
Abel Camacho Quintana
A. Camacho (Astrophysikalisches Institut Potsdam)
Measurement-induced interference in an inhomogeneous gravitational field
15 pages, accepted in Physics Letters A
Phys.Lett. A262 (1999) 110-120
10.1016/S0375-9601(99)00565-4
null
quant-ph gr-qc
null
A very interesting quantum mechanical effect is the emergence of gravity-induced interference, which has already been detected. This effect also shows us that gravity is at the quantum level not a purely geometric effect, the mass of the employed particles appears explicitly in the interference expression. In this work we will generalize some previous results. It will be shown that the introduction of a second order approximation in the propagator of a particle, immersed in the Earth's gravitational field, and whose coordinates are being continuously monitored, allows us to include, in the corresponding complex oscillator, a frequency which now depends on the geometry of the source of the gravitational field, a fact that is absent in the case of a homogeneous field. Using this propagator we will analyze the interference pattern of two particle beams whose coordinates are being continuously monitored. We will compare our results againt the case of a homogeneous field, and also against the measurement ouputs of the Colella, Overhauser, and Werner experiment, and find that the difference in the dependence upon the geometry of the source of the gravitational field could render detectable differences in their respective measurement outputs.
[ { "version": "v1", "created": "Tue, 3 Aug 1999 17:04:22 GMT" } ]
2009-10-31T00:00:00
[ [ "Camacho", "A.", "", "Astrophysikalisches Institut Potsdam" ] ]
quant-ph/9908014
Jan Govaerts
Jan Govaerts (Catholic Univ. Louvain) and Victor M. Villanueva (Univ. Michoacan, Mexico)
Topology Classes of Flat U(1) Bundles and Diffeomorphic Covariant Representations of the Heisenberg Algebra
22 pages, no figures, plain LaTeX file; changes only in details of affiliation and financial support
Int.J.Mod.Phys. A15 (2000) 4903-4932
10.1142/S0217751X00002846
null
quant-ph hep-th math-ph math.MP
null
The general construction of self-adjoint configuration space representations of the Heisenberg algebra over an arbitrary manifold is considered. All such inequivalent representations are parametrised in terms of the topology classes of flat U(1) bundles over the configuration space manifold. In the case of Riemannian manifolds, these representations are also manifestly diffeomorphic covariant. The general discussion, illustrated by some simple examples in non relativistic quantum mechanics, is of particular relevance to systems whose configuration space is parametrised by curvilinear coordinates or is not simply connected, which thus include for instance the modular spaces of theories of non abelian gauge fields and gravity.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 09:13:37 GMT" }, { "version": "v2", "created": "Wed, 1 Sep 1999 09:14:02 GMT" } ]
2016-12-28T00:00:00
[ [ "Govaerts", "Jan", "", "Catholic Univ. Louvain" ], [ "Villanueva", "Victor M.", "", "Univ.\n Michoacan, Mexico" ] ]
quant-ph/9908015
Castagnoli Giuseppe
Giuseppe Castagnoli, Dalida Monti, and Alexander Sergienko
Performing Quantum Measurement in Suitably Entangled States Originates the Quantum Computation Speed Up
22 pages, RevTex, 1 PostScript file with figures. Some comments might indicate ineffective communication of the former version. The description of the mechanism of the quantum speed-up should now be clearer. An Overview of a few pages has been provided
null
null
null
quant-ph
null
We provide a justification of the quantum speed-up based on the complementary roles played by the reversible preparation of an entangled state before measurement and by the final measurement action.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 09:56:35 GMT" }, { "version": "v2", "created": "Mon, 14 Feb 2000 13:31:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Castagnoli", "Giuseppe", "" ], [ "Monti", "Dalida", "" ], [ "Sergienko", "Alexander", "" ] ]
quant-ph/9908016
Yeranuhi Hakobyan
Ye. Hakobyan, S. Ter-Antonyan, V. Ter-Antonyan
Quantum Parabolic Sombrero
10 pages, LaTex, 6 figures (eps). accepted in Phys. Lett. A
Phys.Lett. A264 (2000) 434-439
10.1016/S0375-9601(99)00832-4
null
quant-ph hep-th math-ph math.MP
null
We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(\rho,\rho_0)=\mu\omega^2|\rho^2-\rho_0^2|/2$.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 12:52:04 GMT" }, { "version": "v2", "created": "Sat, 27 Nov 1999 11:41:33 GMT" } ]
2009-10-31T00:00:00
[ [ "Hakobyan", "Ye.", "" ], [ "Ter-Antonyan", "S.", "" ], [ "Ter-Antonyan", "V.", "" ] ]
quant-ph/9908017
Dr. Arun Kumar Pati
Arun Kumar Pati
Probabilistic exact cloning and probabilistic no-signalling
Latex file, 6 pages, minor corrections
null
10.1016/S0375-9601(00)00281-4
null
quant-ph
null
We show that non-local resources cannot be used for probabilistic signalling even if one can produce exact clones with the help of a probabilistic quantum cloning machine (PQCM). We show that PQCM cannot help to distinguish two statistical mixtures at a remote location. Thus quantum theory rules out the possibility of sending superluminal signals not only deterministically but also probabilistically. We give a bound on the success probability of producing multiple clones in an entangled system.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 13:17:57 GMT" }, { "version": "v2", "created": "Tue, 17 Aug 1999 11:39:28 GMT" } ]
2009-10-31T00:00:00
[ [ "Pati", "Arun Kumar", "" ] ]
quant-ph/9908018
Michael Wilkinson
Michael Wilkinson and Michael A. Morgan
Non-adiabatic transitions in multi-level systems
25 pages RevTeX, 9 figures and 4 tables as Postscipt files
null
10.1103/PhysRevA.61.062104
null
quant-ph
null
In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times $t\to \pm \infty$, the transition probabilities between adiabatic states are exponentially small. They are characterized by an exponent that depends on a phase integral along a path around a set of branch points connecting the energy level surfaces in complex time. Only certain sequences of branch points contribute. We propose that these sequences are determined by a topological rule involving the Stokes lines attached to the branch points. Our hypothesis is supported by theoretical arguments and results of numerical experiments.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 14:20:33 GMT" } ]
2009-10-31T00:00:00
[ [ "Wilkinson", "Michael", "" ], [ "Morgan", "Michael A.", "" ] ]
quant-ph/9908019
Guy Potvin
Guy Potvin (Defense Research Establishment Valcartier)
Dualist interpretation of quantum mechanics
17 pages, no figures, RevTex, corrected typos and Eq. (21) (but does not affect conclusions). Also, discusses some old ideas in greater detail and introduces new ones, references added, DREV website: http://www.drev.dnd.ca/
null
null
null
quant-ph cond-mat.stat-mech
null
An interpretation of quantum mechanics is proposed which augments the stochastic pilot-wave model, introduced by Nelson [E. Nelson, Phys. Rev., 150, 1079 (1966)], with a dual guidance condition. Namely, in addition to the stochastic guidance condition which describes how the wave controls the particle (wave-to-particle guidance condition), we introduce another stochastic guidance condition describing how the particle guides the wave (particle-to-wave guidance condition). We therefore introduce an action-reaction principle in the pilot-wave formulation of quantum mechanics. The particle-to-wave guidance condition takes the form of spontaneous transitions of the wavefunction that are Poisson distributed in time. The wavefunction selected by the transition is influenced by its likelyhood with respect to the particle position, as well as certain conservation constraints. It is shown that the stochastic particle-to-wave guidance condition reproduces certain aspects of the spontaneous localization model of Ghirardi, Rimini and Weber [G. C. Ghirardi, A. Rimini and T. Weber, Phys. Rev. D, 34, 470 (1986)], and of Milburn's intrinsic decoherence model [G. J. Milburn, Phys. Rev. A, 44, 5401 (1991)], while avoiding some of the difficulties associated with them. The macroscopic limit of the dualist interpretation is analyzed for the case of a free body. Possible improvements of this interpretation are discussed.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 16:54:53 GMT" }, { "version": "v2", "created": "Fri, 6 Aug 1999 18:32:09 GMT" }, { "version": "v3", "created": "Wed, 1 Dec 1999 16:04:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Potvin", "Guy", "", "Defense Research Establishment Valcartier" ] ]
quant-ph/9908020
Anil K. Patnaik
Anil K. Patnaik (Physical Research Laboratory, Ahmedabad, India) and G. S. Agarwal (Physical Research Laboratory, Ahmedabad, India and Max-Plank-Institut f\"ur Quantenoptik, Garching, Germany)
Laser Field Induced Birefringence and Enhancement of Magneto-optical Rotation
9 pages including 4 Figures
Optics Commun. vol. 179, pg. 97-106 (2000)
10.1016/S0030-4018(99)00530-1
null
quant-ph
null
An initially isotropic medium, when subjected to either a magnetic field or a coherent field, can induce anisotropy in the medium and can cause the polarization of a probe field to rotate. Therefore the rotation of probe polarization, due to magnetic field alone, can be controlled efficiently with the use of a coherent control field. We demonstrate this enhancement of the magneto-optical rotation (MOR) of a linearly polarized light, by doing detailed calculations on a system with relevant transitions $j=0\leftrightarrow j=1\leftrightarrow j=0$.
[ { "version": "v1", "created": "Wed, 4 Aug 1999 18:00:26 GMT" } ]
2016-08-15T00:00:00
[ [ "Patnaik", "Anil K.", "", "Physical Research Laboratory, Ahmedabad, India" ], [ "Agarwal", "G. S.", "", "Physical Research Laboratory, Ahmedabad, India and\n Max-Plank-Institut für Quantenoptik, Garching, Germany" ] ]
quant-ph/9908021
Tetsufumi Tanamoto
Tetsufumi Tanamoto (Toshiba Corporation)
Quantum gates by coupled quantum dots and measurement procedure in Si MOSFET
3 pages, 2 figures, use revtex.sty. 'The Eleventh International Conference on Nonequilibrium Carrier Dynamics in Semiconductors (HCIS-11)',July 19-23, 1999
Physica B 272 (1999) 45
10.1016/S0921-4526(99)00344-0
null
quant-ph
null
We investigated the quantum gates of coupled quantum dots, theoretically, when charging effects can be observed. We have shown that the charged states in the qubits can be observed by the channel current of the MOSFET structure.
[ { "version": "v1", "created": "Thu, 5 Aug 1999 02:18:29 GMT" } ]
2009-10-31T00:00:00
[ [ "Tanamoto", "Tetsufumi", "", "Toshiba Corporation" ] ]
quant-ph/9908022
Alberto Carlini
A. Carlini and A. Hosoya
Carmichael Numbers on a Quantum Computer
7 pages, Latex/REVTEX file
null
null
TIT/HEP-427/COSMO-95
quant-ph
null
We present a quantum probabilistic algorithm which tests with a polynomial computational complexity whether a given composite number is of the Carmichael type. We also suggest a quantum algorithm which could verify a conjecture by Pomerance, Selfridge and Wagstaff concerning the asymptotic distribution of Carmichael numbers smaller than a given integer.
[ { "version": "v1", "created": "Thu, 5 Aug 1999 09:13:22 GMT" } ]
2009-09-25T00:00:00
[ [ "Carlini", "A.", "" ], [ "Hosoya", "A.", "" ] ]
quant-ph/9908023
Mladen Pavicic
Harry Paul and Mladen Pavicic
Nonclassical interaction-free detection of objects in a monolithic total-internal-reflection resonator
RevTeX, 13 pages, 4 ps figures, author's www: http://m3k.grad.hr/pavicic
J. Opt. Soc. Am. B, 14 (1997) 1275-1279
10.1364/JOSAB.14.001275
null
quant-ph
null
We show that with an efficiency exceeding 99% one can use a monolithic total-internal-reflection resonator in order to ascertain the presence of an object without transferring a quantum of energy to it. We also propose an experiment on the probabilistic meaning of the electric field that contains only a very few photons.
[ { "version": "v1", "created": "Thu, 5 Aug 1999 19:48:36 GMT" } ]
2009-10-31T00:00:00
[ [ "Paul", "Harry", "" ], [ "Pavicic", "Mladen", "" ] ]
quant-ph/9908024
Mladen Pavicic
Mladen Pavicic
Spin-correlated interferometry with beam splitters: preselection of spin-correlated photons
RevTeX, 19 pages, 3 ps figures, author's www: http://m3k.grad.hr/pavicic
J. Opt. Soc. Am. B, 12 (1995) 821-828
10.1364/JOSAB.12.000821
null
quant-ph
null
A nonclassical feature of the fourth-order interference at a beam splitter, that genuine photon spin singlets are emitted in predetermined directions even when incident photons are unpolarized, has been used in a proposal for an experiment that imposes quantum spin correlation on truly independent photons. In the experiment, two photons from two such singlets interfere at a beam splitter, and as a result the other two photons - which nowhere interacted and whose paths nowhere crossed - exhibit a 100% correlation in polarization, even when no polarization has been measured in the first two photons. The propsed experiment permits closure of the remaining loopholes in the Bell theorem proof and reveals the quantum nonlocality as a property of selection, and pioneers an experimental procedure for exact preparation of unequal superposition.
[ { "version": "v1", "created": "Thu, 5 Aug 1999 20:56:23 GMT" } ]
2009-10-31T00:00:00
[ [ "Pavicic", "Mladen", "" ] ]