id
stringlengths
9
16
submitter
stringlengths
1
64
authors
stringlengths
3
62.8k
title
stringlengths
1
382
comments
stringlengths
1
1.15k
journal-ref
stringlengths
1
557
doi
stringlengths
7
153
report-no
stringlengths
1
509
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
timestamp[s]date
2007-05-23 00:00:00
2025-04-04 00:00:00
authors_parsed
listlengths
1
2.83k
quant-ph/0611058
Arvind
Geetu Narang and Arvind
Simulating a single qubit channel using a mixed state environment
Published version with minor changes
Phys. Rev. A 75, 032305 (2007)
10.1103/PhysRevA.75.032305
null
quant-ph
null
We analyze the class of single qubit channels with the environment modeled by a one-qubit mixed state. The set of affine transformations for this class of channels is computed analytically, employing the canonical form for the two-qubit unitary operator. We demonstrate that, 3/8 of the generalized depolarizing channels can be simulated by the one-qubit mixed state environment by explicitly obtaining the shape of the volume occupied by this class of channels within the tetrahedron representing the generalized depolarizing channels. Further, as a special case, we show that the two-Pauli Channel cannot be simulated by a one-qubit mixed state environment.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 05:31:36 GMT" }, { "version": "v2", "created": "Tue, 6 Mar 2007 06:51:24 GMT" } ]
2013-05-29T00:00:00
[ [ "Narang", "Geetu", "" ], [ "Arvind", "", "" ] ]
quant-ph/0611059
Yi Zhao
Yi Zhao, Bing Qi, and Hoi-Kwong Lo (Center for Quantum Information and Quantum Control, CQIQC, University of Toronto)
Experimental quantum key distribution with active phase randomization
3 pages, 3 figures, RevTEX
Appl. Phys. Lett., 90 (4), 044106 (2007)
10.1063/1.2432296
null
quant-ph
null
Phase randomization is an important assumption made in many security proofs of practical quantum key distribution (QKD) systems. Here, we present the first experimental demonstration of QKD with reliable active phase randomization. One key contribution is a polarization-insensitive phase modulator, which we added to a commercial phase-coding QKD system to randomize the global phase of each bit. We also proposed a simple but useful method to verify experimentally that the phase is indeed randomized. Our result shows very low QBER (<1%). We expect this active phase randomization process to be a standard part in future QKD set-ups due to its significance and feasibility.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 05:56:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhao", "Yi", "", "Center for Quantum Information and\n Quantum Control, CQIQC, University of Toronto" ], [ "Qi", "Bing", "", "Center for Quantum Information and\n Quantum Control, CQIQC, University of Toronto" ], [ "Lo", "Hoi-Kwong", "", "Center for Quantum Information and\n Quantum Control, CQIQC, University of Toronto" ] ]
quant-ph/0611060
Arpita Maitra
Arpita Maitra
Some Possibility and Impossibility Results related to Discrete Fourier type transforms in Quantum Information
This paper has been revised a lot in further works. The duly revised and published version is available at http://iopscience.iop.org/0256-307X/29/3/030303/
null
null
null
quant-ph
null
Very recently the most general ensemble of qubits are identified using the notion of linearity; any of these qubits gets accepted by a Hadamard gate to generate the equal superposition of the qubit and its orthogonal. Towards more generalization, we investigate the possibility and impossibility results related to Discrete Fourier Transform (DFT) type of operations for a more general set up of qutrits.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 06:53:23 GMT" }, { "version": "v2", "created": "Sun, 26 Aug 2012 10:36:42 GMT" } ]
2012-08-28T00:00:00
[ [ "Maitra", "Arpita", "" ] ]
quant-ph/0611061
Afshin Shafiee Dr.
Afshin Shafiee and Majid Karimi
On the relationship between entropy and information
15 pages, 2 figures. The content of paper is improved throughly in the second version
null
10.4006/1.3153419
null
quant-ph
null
In this paper, we analyze the relationship between entropy and information in the context of the mixing process of two identical ideal gases. We will argue that entropy has a special information-based feature that is enfolded in the statistical entropy, but the second law does not include it directly. Therefore, in some given processes in thermodynamics where there is no matter and energy interaction between the system and environment, the state of the system may go towards a situation of lower probability to increase observer's information in environment. This is a kind of an information-based interaction in which the total entropy is not constrained by the second law.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 08:32:36 GMT" }, { "version": "v2", "created": "Mon, 10 Sep 2007 14:16:28 GMT" } ]
2015-06-26T00:00:00
[ [ "Shafiee", "Afshin", "" ], [ "Karimi", "Majid", "" ] ]
quant-ph/0611062
Roland Doll
Roland Doll and Gert-Ludwig Ingold
Lissajous curves and semiclassical theory: The two-dimensional harmonic oscillator
9 pages, 3 figures; to appear in Am. J. Phys
Am. J. Phys. 75, 208 (2007)
10.1119/1.2402157
null
quant-ph
null
The semiclassical treatment of the two-dimensional harmonic oscillator provides an instructive example of the relation between classical motion and the quantum mechanical energy spectrum. We extend previous work on the anisotropic oscillator with incommensurate frequencies and the isotropic oscillator to the case with commensurate frequencies for which the Lissajous curves appear as classical periodic orbits. Because of the three different scenarios depending on the ratio of its frequencies, the two-dimensional harmonic oscillator offers a unique way to explicitly analyze the role of symmetries in classical and quantum mechanics.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 11:54:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Doll", "Roland", "" ], [ "Ingold", "Gert-Ludwig", "" ] ]
quant-ph/0611063
Metod Saniga
Metod Saniga (ASTRINSTSAV), Michel Planat (FEMTO-ST), Petr Pracna (JH-Inst)
Projective Ring Line Encompassing Two-Qubits
8 pages, three tables; Version 2 - a few typos and one discrepancy corrected; Version 3: substantial extension of the paper - two-qubits are generalized quadrangles of order two; Version 4: self-dual picture completed; Version 5: intriguing triality found -- three kinds of geometric hyperplanes within GQ and three distinguished subsets of Pauli operators
Theoretical and Mathematical Physics 155, 3 (2008) 905-913
10.1007/s11232-008-0076-x
null
quant-ph
null
The projective line over the (non-commutative) ring of two-by-two matrices with coefficients in GF(2) is found to fully accommodate the algebra of 15 operators - generalized Pauli matrices - characterizing two-qubit systems. The relevant sub-configuration consists of 15 points each of which is either simultaneously distant or simultaneously neighbor to (any) two given distant points of the line. The operators can be identified with the points in such a one-to-one manner that their commutation relations are exactly reproduced by the underlying geometry of the points, with the ring geometrical notions of neighbor/distant answering, respectively, to the operational ones of commuting/non-commuting. This remarkable configuration can be viewed in two principally different ways accounting, respectively, for the basic 9+6 and 10+5 factorizations of the algebra of the observables. First, as a disjoint union of the projective line over GF(2) x GF(2) (the "Mermin" part) and two lines over GF(4) passing through the two selected points, the latter omitted. Second, as the generalized quadrangle of order two, with its ovoids and/or spreads standing for (maximum) sets of five mutually non-commuting operators and/or groups of five maximally commuting subsets of three operators each. These findings open up rather unexpected vistas for an algebraic geometrical modelling of finite-dimensional quantum systems and give their numerous applications a wholly new perspective.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 12:33:33 GMT" }, { "version": "v2", "created": "Mon, 13 Nov 2006 14:11:35 GMT" }, { "version": "v3", "created": "Tue, 5 Dec 2006 13:45:02 GMT" }, { "version": "v4", "created": "Mon, 11 Dec 2006 13:19:35 GMT" }, { "version": "v5", "created": "Thu, 28 Dec 2006 19:48:56 GMT" } ]
2008-06-26T00:00:00
[ [ "Saniga", "Metod", "", "ASTRINSTSAV" ], [ "Planat", "Michel", "", "FEMTO-ST" ], [ "Pracna", "Petr", "", "JH-Inst" ] ]
quant-ph/0611064
Irina Dobrovolska
I. V. Dobrovolska, R. S. Tutik
Perturbation theory for sextic doubly anharmonic oscillator
null
null
null
null
quant-ph
null
A simple method for the calculation of higher orders of the logarithmic perturbation theory for bound states of the spherical anharmonic oscillator is developed. The structure of the perturbation series for energy eigenvalues of the sextic doubly anharmonic oscillator is investigated. The recursion technique for deriving renormalized perturbation expansions is offered.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 19:28:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Dobrovolska", "I. V.", "" ], [ "Tutik", "R. S.", "" ] ]
quant-ph/0611065
Ramazan Sever
Sameer M. Ikhdair and Ramazan Sever
Exact Polynomial Solutions of the Mie-Type Potential in the N-Dimensional Schrodinger Equation
10 pages
J. Mol. Struc(Theochem) 855, 13(2008)
null
null
quant-ph
null
The polynomial solution of the N-dimensional space Schrodinger equation for a special case of Mie potential is obtained for any arbitrary $% l-state. The exact bound-state energy eigenvalues and the corresponding eigenfunctions are calculated for diatomic molecular systems in the Mie-type potential. Keywords: Mie potential, Schrodinger equation, Eigenvalue, Eigenfunction, Diatomic molecules
[ { "version": "v1", "created": "Mon, 6 Nov 2006 13:42:59 GMT" } ]
2008-07-15T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0611066
Candadi Sukumar Dr.
C. V. Sukumar
Sum rules for Confining Potentials
16 pages. Some typographical mistakes are corrected in the latest version
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using the Green's function associated with the one-dimensional Schroedinger equation it is possible to establish a hierarchy of sum rules involving the eigenvalues of confining potentials which have only a boundstate spectrum. For some potentials the sum rules could lead to divergences. It is shown that when this happens it is possible to examine the separate sum rules satisfied by the even and odd eigenstates of a symmetric confining potential and by subtraction cancel the divergences exactly and produce a new sum rule which is free of divergences. The procedure is illustrated by considering symmetric power law potentials and the use of several examples. One of the examples considered shows that the zeros of the Airy function and its derivative obey a sum rule and this sum rule is verified. It is also shown how the procedure may be generalised to establish sum rules for arbitrary symmetric confining potentials.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 15:03:21 GMT" }, { "version": "v2", "created": "Thu, 18 Oct 2012 19:49:58 GMT" }, { "version": "v3", "created": "Mon, 22 Oct 2012 19:43:30 GMT" }, { "version": "v4", "created": "Thu, 13 Sep 2018 12:19:27 GMT" } ]
2018-09-14T00:00:00
[ [ "Sukumar", "C. V.", "" ] ]
quant-ph/0611067
Kurt Jacobs
Kurt Jacobs, Daniel A. Steck
A Straightforward Introduction to Continuous Quantum Measurement
24 pages, 3 eps figues. To appear in Contemporary Physics
Contemporary Physics 47, 279 (2006)
10.1080/00107510601101934
null
quant-ph
null
We present a pedagogical treatment of the formalism of continuous quantum measurement. Our aim is to show the reader how the equations describing such measurements are derived and manipulated in a direct manner. We also give elementary background material for those new to measurement theory, and describe further various aspects of continuous measurements that should be helpful to those wanting to use such measurements in applications. Specifically, we use the simple and direct approach of generalized measurements to derive the stochastic master equation describing the continuous measurements of observables, give a tutorial on stochastic calculus, treat multiple observers and inefficient detection, examine a general form of the measurement master equation, and show how the master equation leads to information gain and disturbance. To conclude, we give a detailed treatment of imaging the resonance fluorescence from a single atom as a concrete example of how a continuous position measurement arises in a physical system.
[ { "version": "v1", "created": "Mon, 6 Nov 2006 22:22:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Jacobs", "Kurt", "" ], [ "Steck", "Daniel A.", "" ] ]
quant-ph/0611068
Ratna Koley
Ratna Koley, Sayan Kar
Exact bound states in volcano potentials
10 pages, 6 figures, to appear in Phys. Lett. A
Phys.Lett.A363:369-373,2007
10.1016/j.physleta.2006.11.031
null
quant-ph hep-th
null
Quantum mechanics in a one--parameter family of volcano potentials is investigated. After a discussion on their construction and classical mechanics, we obtain exact, normalisable bound states for specific values of the energy. The nature of the wave functions and probability densities, as well as some curious features of the solutions are highlighted.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 04:37:24 GMT" }, { "version": "v2", "created": "Mon, 4 Dec 2006 09:37:26 GMT" } ]
2008-11-26T00:00:00
[ [ "Koley", "Ratna", "" ], [ "Kar", "Sayan", "" ] ]
quant-ph/0611069
Milos V. Lokajicek
Milos V. Lokajicek
Physical theory of the twentieth century and contemporary philosophy
12 pages
null
10.2478/v10005-007-0012-0
null
quant-ph
null
It has been shown that the criticism of Pauli as well as of Susskind and Glogover may be avoided if the standard quantum-mechanical mathematical model has been suitably extended. There is not more any reason for Einstein's citicism, either, if in addition to some new results concerning Bell's inequalities and Belifante's argument are taken into account. The ensemble interpretation of quantum mechanics (or the hidden-variable theory) should be preferred, which is also supported by the already published results of experiments with three polarizers. Greater space in the text has been devoted also to the discussion of epistemological problems and some philosophical consequences.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 11:10:34 GMT" }, { "version": "v2", "created": "Thu, 9 Nov 2006 08:49:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Lokajicek", "Milos V.", "" ] ]
quant-ph/0611070
Giulio Chiribella
F. Buscemi, G. Chiribella, and G. M. D'Ariano
Quantum erasure of decoherence
10 pages, 1 figure
Open Sys. & Information Dyn. 14, 53 (2007)
10.1007/s11080-007-9028-4
null
quant-ph
null
We consider the classical algebra of observables that are diagonal in a given orthonormal basis, and define a complete decoherence process as a completely positive map that asymptotically converts any quantum observable into a diagonal one, while preserving the elements of the classical algebra. For quantum systems in dimension two and three any decoherence process can be undone by collecting classical information from the environment and using such an information to restore the initial system state. As a relevant example, we illustrate the quantum eraser of Scully et al. [Nature 351, 111 (1991)] as an example of environment-assisted correction. Moreover, we present the generalization of the eraser setup for d-dimensional systems, showing that any von Neumann measurement on a system can be undone by a complementary measurement on the environment.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 10:12:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Buscemi", "F.", "" ], [ "Chiribella", "G.", "" ], [ "D'Ariano", "G. M.", "" ] ]
quant-ph/0611071
Joerg Evers
M. Kiffner, J. Evers, and C. H. Keitel
Breakdown of the few-level approximation in collective systems
null
Phys. Rev. A 76, 013807 (2007)
10.1103/PhysRevA.76.013807
null
quant-ph
null
The validity of the few-level approximation in dipole-dipole interacting collective systems is discussed. As example system, we study the archetype case of two dipole-dipole interacting atoms, each modelled by two complete sets of angular momentum multiplets. We establish the breakdown of the few-level approximation by first proving the intuitive result that the dipole-dipole induced energy shifts between collective two-atom states depend on the length of the vector connecting the atoms, but not on its orientation, if complete and degenerate multiplets are considered. A careful analysis of our findings reveals that the simplification of the atomic level scheme by artificially omitting Zeeman sublevels in a few-level approximation generally leads to incorrect predictions. We find that this breakdown can be traced back to the dipole-dipole coupling of transitions with orthogonal dipole moments. Our interpretation enables us to identify special geometries in which partial few-level approximations to two- or three-level systems are valid.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 11:06:23 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2007 12:39:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Kiffner", "M.", "" ], [ "Evers", "J.", "" ], [ "Keitel", "C. H.", "" ] ]
quant-ph/0611072
Sandro Sozzo
Claudio Garola, Sandro Sozzo
On the Physical Interpretation of Partial Traces: Two Nonstandard Viewpoints
Revised Introduction. Minor changes in the abstract and in Secs. 2-5
Theoretical and Mathematical Physics, 152(2): 1087-1098 (2007)
10.1007/s11232-007-0093-1
null
quant-ph
null
Mixed states are introduced in physics in order to express our ignorance about the actual state of a physical system and are represented in standard quantum mechanics (QM) by density operators. Such operators also appear if one considers a (pure) entangled state of a compound system $\Omega$ and performs partial traces on the projection operator representing it. Yet, they do not represent mixed states (or proper mixtures) of the subsystems in this case, but improper mixtures, since the coefficients in the convex sums expressing them never bear the ignorance interpretation. Hence, one cannot attribute states to the subsystems of a compound physical system in QM (subentity problem). We discuss here two alternative proposals that can be worked out within the Brussels and Lecce approaches. We firstly summarize the general framework provided by the former, which suggests that improper mixtures could be considered as new pure states. Then, we show that improper mixtures can be considered as true (yet nonpure) states also according to the latter. The two proposals seem to be compatible notwithstanding their different terminologies.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 14:32:23 GMT" }, { "version": "v2", "created": "Fri, 24 Nov 2006 12:15:15 GMT" } ]
2014-11-13T00:00:00
[ [ "Garola", "Claudio", "" ], [ "Sozzo", "Sandro", "" ] ]
quant-ph/0611073
Kristian Rymann Hansen
Kristian Rymann Hansen and Klaus Molmer
Stationary light pulses in ultra cold atomic gasses
4 pages, 3 figures
null
null
null
quant-ph
null
We present a theoretical treatment of electromagnetically induced transparency and light storage using standing wave coupling fields in a medium comprised of stationary atoms, such as an ultra cold atomic gas or a solid state medium. We show that it is possible to create stationary pulses of light which have a qualitatively different behavior than in the case of a thermal gas medium, offering greater potential for quantum information processing applications.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 14:41:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Hansen", "Kristian Rymann", "" ], [ "Molmer", "Klaus", "" ] ]
quant-ph/0611074
Marcin Wie\'sniak
Marcin Wiesniak, Marek Zukowski
Analysis of critical parameters in the scheme of Bj\"ork, Jonsson, and S\'anchez-Soto
7 pages, 3 figures
null
null
null
quant-ph
null
Bj\"ork, Jonsson, and S\'anchez-Soto describe an interesting (gedanken-)experiment which demonstrates that single photons can indeed lead to effects which have no local realistic description. %It is one of few cases where the experimental falsification of the conjecture of local realism has been done with use of the CH inequality, rather that the CHSH inequality. We study the critical values of parameters of some possible features of a non-perfect realisation of the experiment (especially photon loss, which could be looked at as the detection efficiency), that need to be satisfied so that the experiment can be considered as a valid test of quantum mechanics versus local realism. Interestingly, the scheme turns out to be robust against photon loss.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 15:47:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Wiesniak", "Marcin", "" ], [ "Zukowski", "Marek", "" ] ]
quant-ph/0611075
Simone Severini
Lieven Clarisse, Sibasish Ghosh, Simone Severini, Anthony Sudbery
The disentangling power of unitaries
2 pages; Addendum to quant-ph/0502040
null
10.1016/j.physleta.2007.02.001
null
quant-ph
null
We define the disentangling power of a unitary operator in a similar way as the entangling power defined by Zanardi, Zalka and Faoro [PRA, 62, 030301]. A general formula is derived and it is shown that both quantities are directly proportional. All results concerning the entangling power can simply be translated into similar statements for the disentangling power. In particular, the disentangling power is maximal for certain permutations derived from orthogonal latin squares. These permutations can therefore be interpreted as those that distort entanglement in a maximal way.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 16:09:15 GMT" }, { "version": "v2", "created": "Thu, 9 Nov 2006 18:14:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Clarisse", "Lieven", "" ], [ "Ghosh", "Sibasish", "" ], [ "Severini", "Simone", "" ], [ "Sudbery", "Anthony", "" ] ]
quant-ph/0611076
Olaf Dreyer
Olaf Dreyer
Classicality in Quantum Mechanics
Converence talk presented at DICE 2006 in Piombino. To be published in the Journal of Physics: Conference Series
J.Phys.Conf.Ser.67:012051,2007
10.1088/1742-6596/67/1/012051
null
quant-ph
null
In this article we propose a solution to the measurement problem in quantum mechanics. We point out that the measurement problem can be traced to an a priori notion of classicality in the formulation of quantum mechanics. If this notion of classicality is dropped and instead classicality is defined in purely quantum mechanical terms the measurement problem can be avoided. We give such a definition of classicality. It identifies classicality as a property of large quantum system. We show how the probabilistic nature of quantum mechanics is a result of this notion of classicality. We also comment on what the implications of this view are for the search of a quantum theory of gravity.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 17:24:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Dreyer", "Olaf", "" ] ]
quant-ph/0611077
Dimitris Tsomokos Dr
D.I. Tsomokos, M.J. Hartmann, S.F. Huelga, M.B. Plenio
Entanglement dynamics in chains of qubits with noise and disorder
17 pages, 9 figures (replaced with published version: updated references, minor changes and typos)
New Journal of Physics 9, 79 (2007)
10.1088/1367-2630/9/3/079
null
quant-ph cond-mat.other
null
The entanglement dynamics of arrays of qubits is analysed in the presence of some general sources of noise and disorder. In particular, we consider linear chains of Josephson qubits in experimentally realistic conditions. Electromagnetic and other (spin or boson) fluctuations due to the background circuitry and surrounding substrate, finite temperature in the external environment, and disorder in the initial preparation and the control parameters are embedded into our model. We show that the amount of disorder that is typically present in current experiments does not affect the entanglement dynamics significantly, while the presence of noise can have a drastic influence on the generation and propagation of entanglement. We examine under which circumstances the system exhibits steady-state entanglement for both short (N < 10) and long (N > 30) chains and show that, remarkably, there are parameter regimes where the steady-state entanglement is strictly non-monotonic as a function of the noise strength. We also present optimized schemes for entanglement verification and quantification based on simple correlation measurements that are experimentally more economic than state tomography.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 17:45:31 GMT" }, { "version": "v2", "created": "Sat, 31 Mar 2007 07:22:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Tsomokos", "D. I.", "" ], [ "Hartmann", "M. J.", "" ], [ "Huelga", "S. F.", "" ], [ "Plenio", "M. B.", "" ] ]
quant-ph/0611078
Vivian Franca V. V. Franca
V. V. Fran\c{c}a and G. A. Prataviera
Stability and entanglement in optical-atomic amplification of trapped atoms: the role of atomic collisions
6 pages, 4 figures, accepted by PRA
Phys. Rev. A 75, 043604 (2007)
10.1103/PhysRevA.75.043604
null
quant-ph cond-mat.other cond-mat.stat-mech physics.atom-ph
null
Atomic collisions are included in an interacting system of optical fields and trapped atoms allowing field amplification. We study the effects of collisions on the system stability. Also a study of the degree of entanglement between atomic and optical fields is made. We found that, for an atomic field initially in a vacuum state and optical field in a coherent state, the degree of entanglement does not depend on the optical field intensity or phase. We show that in conditions of exponential instability the system presents at long times two distinct stationary degree of entanglement with collisions affecting only one of them.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 17:47:43 GMT" }, { "version": "v2", "created": "Wed, 21 Mar 2007 19:13:15 GMT" } ]
2008-06-17T00:00:00
[ [ "França", "V. V.", "" ], [ "Prataviera", "G. A.", "" ] ]
quant-ph/0611079
Cosmo Lupo
Cosmo Lupo, Paolo Aniello, Mario Napolitano, Giuseppe Florio
Robustness against parametric noise of non ideal holonomic gates
8 pages, 8 figures, several changes made, accepted for publication on Phys. Rev. A
Phys. Rev. A 76, 012309 (2007)
10.1103/PhysRevA.76.012309
null
quant-ph
null
Holonomic gates for quantum computation are commonly considered to be robust against certain kinds of parametric noise, the very motivation of this robustness being the geometric character of the transformation achieved in the adiabatic limit. On the other hand, the effects of decoherence are expected to become more and more relevant when the adiabatic limit is approached. Starting from the system described by Florio et al. [Phys. Rev. A 73, 022327 (2006)], here we discuss the behavior of non ideal holonomic gates at finite operational time, i.e., far before the adiabatic limit is reached. We have considered several models of parametric noise and studied the robustness of finite time gates. The obtained results suggest that the finite time gates present some effects of cancellation of the perturbations introduced by the noise which mimic the geometrical cancellation effect of standard holonomic gates. Nevertheless, a careful analysis of the results leads to the conclusion that these effects are related to a dynamical instead of geometrical feature.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 18:50:54 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 17:08:30 GMT" } ]
2007-07-19T00:00:00
[ [ "Lupo", "Cosmo", "" ], [ "Aniello", "Paolo", "" ], [ "Napolitano", "Mario", "" ], [ "Florio", "Giuseppe", "" ] ]
quant-ph/0611080
Robin Blume-Kohout
Robin Blume-Kohout
Optimal, reliable estimation of quantum states
RevTeX; 14 pages, 2 embedded figures. Comments enthusiastically welcomed!
New J. Phys. 12, 043034 (2010)
10.1088/1367-2630/12/4/043034
null
quant-ph
null
Accurately inferring the state of a quantum device from the results of measurements is a crucial task in building quantum information processing hardware. The predominant state estimation procedure, maximum likelihood estimation (MLE), generally reports an estimate with zero eigenvalues. These cannot be justified. Furthermore, the MLE estimate is incompatible with error bars, so conclusions drawn from it are suspect. I propose an alternative procedure, Bayesian mean estimation (BME). BME never yields zero eigenvalues, its eigenvalues provide a bound on their own uncertainties, and it is the most accurate procedure possible. I show how to implement BME numerically, and how to obtain natural error bars that are compatible with the estimate. Finally, I briefly discuss the differences between Bayesian and frequentist estimation techniques.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 21:03:31 GMT" } ]
2010-05-04T00:00:00
[ [ "Blume-Kohout", "Robin", "" ] ]
quant-ph/0611081
Somshubhro Bandyopadhyay
Somshubhro Bandyopadhyay, Vwani Roychowdhury
Superadditivity of distillable entanglement From Quantum Teleportation
4 pages, 4 figures
Phys. Rev. A 72, 060303(R) (2005)
10.1103/PhysRevA.72.060303
null
quant-ph
null
We show that the phenomenon of superadditivity of distillable entanglement observed in multipartite quantum systems results from the consideration of states created during the execution of the standard end-to-end quantum teleportation protocol (and a few additional local operations and classical communication (LOCC) steps) on a linear chain of singlets. Some of these intermediate states are tensor products of bound-entangled (BE) states, and hence, by construction possess distillable entanglement, which can be unlocked by simply completing the rest of the LOCC operations required by the underlying teleportation protocol. We use this systematic approach to construct both new and known examples of superactivation of bound entanglement, and first examples of activation of BE states using other BE states. A surprising outcome is the construction of noiseless quantum relay channels with no distillable entanglement between any two parties, except for that between the two end nodes.
[ { "version": "v1", "created": "Tue, 7 Nov 2006 21:43:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Bandyopadhyay", "Somshubhro", "" ], [ "Roychowdhury", "Vwani", "" ] ]
quant-ph/0611082
Constantin Bachas
C.P. Bachas
Comment on the sign of the Casimir force
13 pages, 1 figure, Latex file. Several points clarified and expanded, two references added.
J.Phys.A40:9089-9096,2007
10.1088/1751-8113/40/30/028
null
quant-ph hep-th
null
I show that reflection positivity implies that the force between any mirror pair of charge-conjugate probes of the quantum vacuum is attractive. This generalizes a recent theorem of Kenneth and Klich to interacting quantum fields, to arbitrary semiclassical bodies, and to quantized probes with non-overlapping wavefunctions. I also prove that the torques on charge-conjugate probes tend always to rotate them into a mirror-symmetric position.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 09:21:56 GMT" }, { "version": "v2", "created": "Mon, 11 Dec 2006 17:56:01 GMT" }, { "version": "v3", "created": "Tue, 3 Apr 2007 18:02:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Bachas", "C. P.", "" ] ]
quant-ph/0611083
Marcin Wie\'sniak
Marcin Wiesniak, Piotr Badziag, Marek Zukowski
Explicit form of correlation function three-settings tight Bell inequalities for three qubits
8 pages, no figures,
null
10.1103/PhysRevA.76.012110
null
quant-ph
null
We present a method to derive explicit forms of tight correlation function Bell inequalities for three systems and dichotomic observables, which involve three settings for each observer. We also give sufficient conditions for quantum predictions to satisfy the new inequalities.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 15:27:15 GMT" }, { "version": "v2", "created": "Thu, 3 May 2007 19:13:00 GMT" }, { "version": "v3", "created": "Fri, 7 Mar 2008 05:16:03 GMT" } ]
2008-03-07T00:00:00
[ [ "Wiesniak", "Marcin", "" ], [ "Badziag", "Piotr", "" ], [ "Zukowski", "Marek", "" ] ]
quant-ph/0611084
Joerg Evers
M. Kiffner, J. Evers, and C. H. Keitel
Coherent control in a decoherence-free subspace of a collective multi-level system
15 pages, 11 figures
Phys. Rev. A 75, 032313 (2007)
10.1103/PhysRevA.75.032313
null
quant-ph
null
Decoherence-free subspaces (DFS) in systems of dipole-dipole interacting multi-level atoms are investigated theoretically. It is shown that the collective state space of two dipole-dipole interacting four-level atoms contains a four-dimensional DFS. We describe a method that allows to populate the antisymmetric states of the DFS by means of a laser field, without the need of a field gradient between the two atoms. We identify these antisymmetric states as long-lived entangled states. Further, we show that any single-qubit operation between two states of the DFS can be induced by means of a microwave field. Typical operation times of these qubit rotations can be significantly shorter than for a nuclear spin system.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 12:28:31 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2007 12:26:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Kiffner", "M.", "" ], [ "Evers", "J.", "" ], [ "Keitel", "C. H.", "" ] ]
quant-ph/0611085
Yao Cheng
Yao Cheng, Bing Xia, Chuanxiang Tang, Yinong Liu, Qingxiu Jin
Generation of Long-Lived Isomeric States via Bremsstrahlung Irradiation
ICAME 05 conference report
Hyperfine Interactions Vol.167, 833-838(2006)
10.1007/s10751-006-9368-4
null
quant-ph physics.atom-ph
null
A method to generate long-lived isomeric states effectively for Mossbauer applications is reported. We demonstrate that this method is better and easier to provide highly sensitive Mossbauer effect of long-lived isomers (>1ms) such as 103Rh. Excitation of (gamma,gamma) process by synchrotron radiation is painful due mainly to their limited linewidth. Instead,(gamma,gamma') process of bremsstrahlung excitation is applied to create these long-lived isomers. Isomers of 45Sc, 107Ag, 109Ag, and 103Rh have been generated from this method. Among them, 103Rh is the only one that we have obtained the gravitational effect at room temperature.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 13:22:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Cheng", "Yao", "" ], [ "Xia", "Bing", "" ], [ "Tang", "Chuanxiang", "" ], [ "Liu", "Yinong", "" ], [ "Jin", "Qingxiu", "" ] ]
quant-ph/0611086
Marek Zukowski
Marek Zukowski
All tight multipartite Bell correlation inequalities for three dichotomic observables per observer
10 pages, RevTeX
null
null
null
quant-ph
null
A derivation of the full set of Bell inequalities involving correlation functions, for two parties, with binary observables, and three possible local settings. The procedure can be extended straightforwardly to multiparty correlations.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 14:40:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Zukowski", "Marek", "" ] ]
quant-ph/0611087
Ulrike Herzog
Ulrike Herzog
Optimum unambiguous discrimination of two mixed states and application to a class of similar states
8 pages, changes in title and presentation
null
10.1103/PhysRevA.75.052309
null
quant-ph
null
We study the measurement for the unambiguous discrimination of two mixed quantum states that are described by density operators $\rho_1$ and $\rho_2$ of rank d, the supports of which jointly span a 2d-dimensional Hilbert space. Based on two conditions for the optimum measurement operators, and on a canonical representation for the density operators of the states, two equations are derived that allow the explicit construction of the optimum measurement, provided that the expression for the fidelity of the states has a specific simple form. For this case the problem is mathematically equivalent to distinguishing pairs of pure states, even when the density operators are not diagonal in the canonical representation. The equations are applied to the optimum unambiguous discrimination of two mixed states that are similar states, given by $\rho_2= U\rho_1 U^{\dag}$, and that belong to the class where the unitary operator U can be decomposed into multiple rotations in the d mutually orthogonal two-dimensional subspaces determined by the canonical representation.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 16:26:09 GMT" }, { "version": "v2", "created": "Tue, 14 Nov 2006 20:47:53 GMT" }, { "version": "v3", "created": "Mon, 12 Mar 2007 17:52:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Herzog", "Ulrike", "" ] ]
quant-ph/0611088
Hui Jing
Hui Jing and Jing Cheng
Quantum superchemistry in an output coupler of coherent matter waves
3 figures, accepted by Phys.Rev.A (submitted to prl in July, transferred to pra in Sep. and accepted in Nov.)
null
10.1103/PhysRevA.74.063607
null
quant-ph
null
We investigate the quantum superchemistry or Bose-enhanced atom-molecule conversions in a coherent output coupler of matter waves, as a simple generalization of the two-color photo-association. The stimulated effects of molecular output step and atomic revivals are exhibited by steering the rf output couplings. The quantum noise-induced molecular damping occurs near a total conversion in a levitation trap. This suggests a feasible two-trap scheme to make a stable coherent molecular beam.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 17:39:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Jing", "Hui", "" ], [ "Cheng", "Jing", "" ] ]
quant-ph/0611089
Romain All\'eaume
Rex A. C. Medeiros (UCG Brazil), Francisco M. De Assis (UCG Brazil)
Quantum Zero-error Capacity
Published in the International Journal of Quantum Informaton
null
null
null
quant-ph
null
We define here a new kind of quantum channel capacity by extending the concept of zero-error capacity for a noisy quantum channel. The necessary requirement for which a quantum channel has zero-error capacity greater than zero is given. Finally, we point out some directions on how to calculate the zero-error capacity of such channels.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 17:47:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Medeiros", "Rex A. C.", "", "UCG Brazil" ], [ "De Assis", "Francisco M.", "", "UCG Brazil" ] ]
quant-ph/0611090
Miguel Orszag
D.Mundarain, M.Orszag
Decoherence Free Subspace and entanglement by interaction with a common squeezed bath
4 pages, 1 figure
null
10.1103/PhysRevA.75.040303
null
quant-ph
null
In this work we find explicitly the decoherence free subspace (DFS) for a two two-level system in a common squeezed vacuum bath. We also find an orthogonal basis for the DFS composed of a symmetrical and an antisymmetrical (under particle permutation) entangled state. For any initial symmetrical state, the master equation has one stationary state which is the symmetrical entangled decoherence free state. In this way, one can generate entanglement via common squeezed bath of the two systems. If the initial state does not have a definite parity, the stationary state depends strongly on the initial conditions of the system and it has a statistical mixture of states which belong to the DFS. We also study the effect of the coupling between the two-level systems on the DFS.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 17:56:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Mundarain", "D.", "" ], [ "Orszag", "M.", "" ] ]
quant-ph/0611091
Dan Solomon
Dan Solomon
On the existence of negative energy states in QED in the temporal gauge
9 pages
null
null
null
quant-ph
null
It is generally assumed that the vacuum state is the quantum state with the lowest energy. However, it has been shown that this is not the case for a Dirac-Maxwell field in the temporal gauge. In this paper we will present another proof, different from that presented in previous work, which shows that the vacuum state is not the minimum energy state for a Dirac-Maxwell field in the temporal gauge.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 18:03:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Solomon", "Dan", "" ] ]
quant-ph/0611092
Monika Pogorzelska
Monika Pogorzelska and Robert Alicki
Linear dynamical entropy and free-independence for quantized maps on the torus
7 pages, 5 figures
null
10.1088/1751-8113/40/13/006
null
quant-ph
null
We study the relations between the averaged linear entropy production in periodically measured quantum systems and ergodic properties of their classical counterparts. Quantized linear automorphisms of the torus, both classically chaotic and regular ones, are used as examples. Numerical calculations show different entropy production regimes depending on the relation between the Kolmogorov-Sinai entropy and the measurement entropy. The hypothesis of free independence relations between the dynamics and measurement proposed to explain the initial constant and maximal entropy production is tested numerically for those models.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 18:04:18 GMT" } ]
2015-06-26T00:00:00
[ [ "Pogorzelska", "Monika", "" ], [ "Alicki", "Robert", "" ] ]
quant-ph/0611093
Christine Muschik
Christine A. Muschik, Ines de Vega, Diego Porras, J. Ignacio Cirac
Quantum processing photonic states in optical lattices
4 pages, 4 figures
Phys. Rev. Lett. 100, 063601 (2008)
10.1103/PhysRevLett.100.063601
null
quant-ph
null
The mapping of photonic states to collective excitations of atomic ensembles is a powerful tool which finds a useful application in the realization of quantum memories and quantum repeaters. In this work we show that cold atoms in optical lattices can be used to perform an entangling unitary operation on the transferred atomic excitations. After the release of the quantum atomic state, our protocol results in a deterministic two qubit gate for photons. The proposed scheme is feasible with current experimental techniques and robust against the dominant sources of noise.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 19:31:09 GMT" }, { "version": "v2", "created": "Thu, 9 Nov 2006 19:33:32 GMT" }, { "version": "v3", "created": "Mon, 27 Nov 2006 15:32:38 GMT" }, { "version": "v4", "created": "Wed, 31 Jan 2007 13:57:27 GMT" } ]
2013-05-29T00:00:00
[ [ "Muschik", "Christine A.", "" ], [ "de Vega", "Ines", "" ], [ "Porras", "Diego", "" ], [ "Cirac", "J. Ignacio", "" ] ]
quant-ph/0611094
Giacomo Mauro D'Ariano
Giacomo Mauro D'Ariano
Operational Axioms for Quantum Mechanics
New improvements have been made. Work presented at the conference "Foundations of Probability and Physics-4, Quantum Theory: Reconsideration of Foundations-3" held on 4-9 June at the International Centre for Mathematical Modelling in Physics, Engineering and Cognitive Sciences, Vaxjo University, Sweden. Also contains an errata to "How to Derive the Hilbert-Space Formulation of Quantum Mechanics From Purely Operational Axioms", quant-ph/0603011
null
null
null
quant-ph
null
The mathematical formulation of Quantum Mechanics in terms of complex Hilbert space is derived for finite dimensions, starting from a general definition of "physical experiment" and from five simple Postulates concerning "experimental accessibility and simplicity". For the infinite dimensional case, on the other hand, a C*-algebra representation of physical transformations is derived, starting from just four of the five Postulates via a Gelfand-Naimark-Segal (GNS) construction. The present paper simplifies and sharpens the previous derivation in version 1. The main ingredient of the axiomatization is the postulated existence of "faithful states" that allows one to calibrate the experimental apparatus. Such notion is at the basis of the operational definitions of the scalar product and of the "transposed" of a physical transformation. What is new in the present paper with respect to quant-ph/0603011 is the operational deduction of an involution corresponding to the "complex-conjugation" for effects, whose extension to transformations allows to define the "adjoint" of a transformation when the extension is composition-preserving.
[ { "version": "v1", "created": "Wed, 8 Nov 2006 21:04:20 GMT" }, { "version": "v2", "created": "Tue, 5 Dec 2006 02:49:14 GMT" }, { "version": "v3", "created": "Fri, 8 Dec 2006 07:12:07 GMT" } ]
2007-05-23T00:00:00
[ [ "D'Ariano", "Giacomo Mauro", "" ] ]
quant-ph/0611095
Xiang-Fa Zhou
Xiang-Fa Zhou, Yong-Sheng Zhang, Guang-Can Guo
Unambiguous discrimination of mixed states: A description based on system-ancilla coupling
6 pages, 1 table, added some examples
Phys. Rev. A 75, 052314 (2007)
10.1103/PhysRevA.75.052314
null
quant-ph
null
We propose a general description on the unambiguous discrimination of mixed states according to the system-environment coupling, and present a procedure to reduce this to a standard semidefinite programming problem. In the two states case, we introduce the canonical vectors and partly simplify the problem to the case of discrimination between pairs of canonical vectors. By considering the positivity of the two by two matrices, we obtain a series of new upper bounds of the total success probability which depends on both the prior probabilities and specific state structures.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 02:55:08 GMT" }, { "version": "v2", "created": "Fri, 11 May 2007 00:58:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhou", "Xiang-Fa", "" ], [ "Zhang", "Yong-Sheng", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0611096
Xiang-Fa Zhou
Xiang-Fa Zhou, Qing Lin, Yong-Sheng Zhang, Guang-Can Guo
Physical accessible transformations on a finite number of quantum states
7 pages
null
10.1103/PhysRevA.75.012321
null
quant-ph
null
We consider to treat the usual probabilistic cloning, state separation, unambiguous state discrimination, \emph{etc} in a uniform framework. All these transformations can be regarded as special examples of generalized completely positive trace non-increasing maps on a finite number of input states. From the system-ancilla model we construct the corresponding unitary implementation of pure $\to$ pure, pure $\to$ mixed, mixed $\to$ pure, and mixed $\to$ mixed states transformations in the whole system and obtain the necessary and sufficient conditions on the existence of the desired maps. We expect our work will be helpful to explore what we can do on a finite set of input states.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 03:25:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhou", "Xiang-Fa", "" ], [ "Lin", "Qing", "" ], [ "Zhang", "Yong-Sheng", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0611097
Mikio Kozuma
Daisuke Akamatsu, Yoshihiko Yokoi, Manabu Arikawa, Satoshi Nagatsuka, Takahito Tanimura, Akira Furusawa and Mikio Kozuma
Ultraslow Propagation of Squeezed Vacuum Pulses with Electromagnetically Induced Transparency
null
Physical Review Letters 99, 153602 (2007)
10.1103/PhysRevLett.99.153602
null
quant-ph
null
We have succeeded in observing ultraslow propagation of squeezed vacuum pulses with electromagnetically induced transparency. Squeezed vacuum pulses (probe lights) were incident on a laser cooled 87Rb gas together with an intense coherent light (control light). A homodyne method sensitive to the vacuum state was employed for detecting the probe pulse passing through the gas. A delay of 3.1us was observed for the probe pulse having a temporal width of 10 us.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 04:08:21 GMT" }, { "version": "v2", "created": "Fri, 25 May 2007 14:01:04 GMT" }, { "version": "v3", "created": "Thu, 16 Aug 2007 02:43:01 GMT" }, { "version": "v4", "created": "Sun, 27 Jan 2008 12:08:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Akamatsu", "Daisuke", "" ], [ "Yokoi", "Yoshihiko", "" ], [ "Arikawa", "Manabu", "" ], [ "Nagatsuka", "Satoshi", "" ], [ "Tanimura", "Takahito", "" ], [ "Furusawa", "Akira", "" ], [ "Kozuma", "Mikio", "" ] ]
quant-ph/0611098
Menachem Tsindlekht
Mark E. Perel'man
Near field in quantum electrodynamics: Green functions, Lorentz condition, "nonlocality in the small", frustrated total reflection
21 pages
null
10.1002/andp.200610240
null
quant-ph
null
Investigation of near field of QED requires the refuse from an averaging of the Lorentz condition that smooths out some field peculiarities. Instead of it Schwinger decomposition of the 4-potential with the Bogoliubov method of interaction switching in time and in space regions is considered. At such approach near field is describable by the part of covariant Green function of QED, the fast-damping Schwinger function formed by longitudinal and scalar components of A&#956; none restricted by light cone. This description reveals possibility of superluminal phenomena within the near field zone as a "nonlocality in the small". Some specification of Bogoliubov method allows, as examples, descriptions of near fields of point-like charge and at FTIR phenomena. Precisely such possibilities of nonlocal interactions are revealed in the common QED expressions for the Van-der-Waals and Casimir interactions and in the F\"{o}rster law. Key words: Lorentz condition, near field, propagators, superluminal, FTIR. PACS: 03.30.+p, 12.20.-m, 13.40.-f, 68.37.Uv.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 13:37:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Perel'man", "Mark E.", "" ] ]
quant-ph/0611099
Mark Oxborrow
Mark Oxborrow
Traceable 2D finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators
10 pages, 8 figures, submitted to IEEE Microwave Theory and Techniques. Last revision March 19 2007. This paper is a significantly abridged/revised version of quant-ph/0607156
null
10.1109/TMTT.2007.897850
null
quant-ph
null
This paper explains how a popular, commercially-available software package for solving partial-differential-equations (PDEs), as based on the finite-element method (FEM), can be configured to calculate, efficiently, the frequencies and fields of the whispering-gallery (WG) modes of axisymmetric dielectric resonators. The approach is traceable; it exploits the PDE-solver's ability to accept the definition of solutions to Maxwell's equations in so-called `weak form'. Associated expressions and methods for estimating a WG mode's volume, filling factor(s) and, in the case of closed(open) resonators, its wall(radiation) loss, are provided. As no transverse approximation is imposed, the approach remains accurate even for quasi-transverse magnetic/electric modes of low, finite azimuthal mode order. The approach's generality and utility are demonstrated by modeling several non-trivial structures: (i) two different optical microcavities [one toroidal made of silica, the other an AlGaAs microdisk]; (ii) a 3rd-order sapphire:air Bragg cavity; (iii) two different cryogenic sapphire WG-mode resonators; both (ii) and (iii) operate in the microwave X-band. By fitting one of (iii) to a set of measured resonance frequencies, the dielectric constants of sapphire at liquid-helium temperature have been estimated.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 20:37:35 GMT" }, { "version": "v2", "created": "Mon, 19 Mar 2007 16:53:42 GMT" } ]
2015-06-26T00:00:00
[ [ "Oxborrow", "Mark", "" ] ]
quant-ph/0611100
Qing Xu
M. B. Costa e Silva, Q. Xu, S. Agnolini, P. Gallion, F. J. Mendieta
Homodyne QPSK Detection for Quantum Key Distribution
3 pages, 4 figures, COTA/OSA Conference, Whistler, British Columbia, Canada, June 2006 2006
COTA/OSA Conference Proceeding 2006
null
null
quant-ph
null
We present a QKD system with fainted pulses using self-homodyne coherent detection in optical fibers at 1543nm. BB84 protocol key is encoded in the optical phase using a twoelectrode Mach-Zehnder modulator, producing a QPSK modulation.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 14:06:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Silva", "M. B. Costa e", "" ], [ "Xu", "Q.", "" ], [ "Agnolini", "S.", "" ], [ "Gallion", "P.", "" ], [ "Mendieta", "F. J.", "" ] ]
quant-ph/0611101
Astrid Lambrecht
A. Lambrecht, V.V. Nesvizhevsky, R. Onofrio, and S. Reynaud
Development of a high sensitivity torsional balance for the study of the Casimir force in the 1-10 micrometer range
10 pages, 2 figures
Class. Quantum Grav. 22, 5397 (2005)
10.1088/0264-9381/22/24/012
null
quant-ph
null
We discuss a proposal to measure the Casimir force in the parallel plate configuration in the $1-10\mu$m range via a high-sensitivity torsional balance. This will allow to measure the thermal contribution to the Casimir force therefore discriminating between the various approaches discussed so far. The accurate control of the Casimir force in this range of distances is also required to improve the limits to the existence of non-Newtonian forces in the micrometer range predicted by unification models of fundamental interactions.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 14:14:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Nesvizhevsky", "V. V.", "" ], [ "Onofrio", "R.", "" ], [ "Reynaud", "S.", "" ] ]
quant-ph/0611102
Qing Xu Mr.
M. B. Costa e Silva, Q. Xu, S. Agnolini, S. Guilley, J-L. Danger, P. Gallion, F. J. Mendieta
Integrating a QPSK Quantum Key Distribution Link
2 pages, 4 figures, European Conference on Optical Communication 2006
ECOC 2006 Proceeding
null
null
quant-ph
null
We present the integration of the optical and electronic subsystems of a BB84-QKD fiber link. A highspeed FPGA MODEM generates the random QPSK sequences for a fiber-optic delayed self-homodyne scheme using APD detectors.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 15:04:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Silva", "M. B. Costa e", "" ], [ "Xu", "Q.", "" ], [ "Agnolini", "S.", "" ], [ "Guilley", "S.", "" ], [ "Danger", "J-L.", "" ], [ "Gallion", "P.", "" ], [ "Mendieta", "F. J.", "" ] ]
quant-ph/0611103
Astrid Lambrecht
A. Lambrecht, P. A. Maia Neto, and S. Reynaud
The Casimir effect within scattering theory
15 pages, 12 figures
New Journal of Physics 8, 243 (2006)
10.1088/1367-2630/8/10/243
null
quant-ph
null
We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision and pertinence of the description of experimental conditions. Due to an imperfect knowledge of the optical properties of real mirrors used in the experiment, the effect of imperfect reflection remains a source of uncertainty in theory-experiment comparisons. For the same reason, the temperature dependence of the Casimir force between dissipative mirrors remains a matter of debate. We also emphasize that real mirrors do not obey exactly the assumption of specular reflection, which is used in nearly all calculations of material and temperature corrections. This difficulty may be solved by using a more general scattering formalism accounting for non-specular reflection with wavevectors and field polarizations mixed. This general formalism has already been fruitfully used for evaluating the effect of roughness on the Casimir force as well as the lateral Casimir force appearing between corrugated surfaces. The commonly used `proximity force approximation' turns out to lead to inaccuracies in the description of these two effects.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 16:43:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Lambrecht", "A.", "" ], [ "Neto", "P. A. Maia", "" ], [ "Reynaud", "S.", "" ] ]
quant-ph/0611104
Claudia Eberlein
Claudia Eberlein and Robert Zietal
Force on a neutral atom near conducting microstructures
7 pages, 5 figures
Phys. Rev. A 75, 032516 (2007)
10.1103/PhysRevA.75.032516
null
quant-ph
null
We derive the non-retarded energy shift of a neutral atom for two different geometries. For an atom close to a cylindrical wire we find an integral representation for the energy shift, give asymptotic expressions, and interpolate numerically. For an atom close to a semi-infinite halfplane we determine the exact Green's function of the Laplace equation and use it derive the exact energy shift for an arbitrary position of the atom. These results can be used to estimate the energy shift of an atom close to etched microstructures that protrude from substrates.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 18:13:34 GMT" } ]
2009-12-07T00:00:00
[ [ "Eberlein", "Claudia", "" ], [ "Zietal", "Robert", "" ] ]
quant-ph/0611105
Daejin Shin
Daejin Shin, Ming-Chak Ho, and J. Shumway
Ab-initio path integral techniques for molecules
9 pages, 6 figures
null
null
null
quant-ph
null
Path integral Monte Carlo with Green's function analysis allows the sampling of quantum mechanical properties of molecules at finite temperature. While a high-precision computation of the energy of the Born-Oppenheimer surface from path integral Monte Carlo is quite costly, we can extract many properties without explicitly calculating the electronic energies. We demonstrate how physically relevant quantities, such as bond-length, vibrational spectra, and polarizabilities of molecules may be sampled directly from the path integral simulation using Matsubura (temperature) Green's functions (imaginary-time correlation functions). These calculations on the hydrogen molecule are a proof-of-concept, designed to motivate new work on fixed-node path-integral calculations for molecules.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 20:14:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Shin", "Daejin", "" ], [ "Ho", "Ming-Chak", "" ], [ "Shumway", "J.", "" ] ]
quant-ph/0611106
Michael Nathanson
M. Nathanson, M.B. Ruskai
Pauli Diagonal Channels Constant on Axes
null
J. Phys. A: Math. Theor. 40 (2007) 8171-8204.
10.1088/1751-8113/40/28/S22
null
quant-ph
null
We define and study the properties of channels which are analogous to unital qubit channels in several ways. A full treatment can be given only when the dimension d is a prime power, in which case each of the (d+1) mutually unbiased bases (MUB) defines an axis. Along each axis the channel looks like a depolarizing channel, but the degree of depolarization depends on the axis. When d is not a prime power, some of our results still hold, particularly in the case of channels with one symmetry axis. We describe the convex structure of this class of channels and the subclass of entanglement breaking channels. We find new bound entangled states for d = 3. For these channels, we show that the multiplicativity conjecture for maximal output p-norm holds for p=2. We also find channels with behavior not exhibited by unital qubit channels, including two pairs of orthogonal bases with equal output entropy in the absence of symmetry. This provides new numerical evidence for the additivity of minimal output entropy.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 21:12:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Nathanson", "M.", "" ], [ "Ruskai", "M. B.", "" ] ]
quant-ph/0611107
Kamil Br\'adler
K. Bradler
Optimal and covariant single-copy LOCC transformation between two two-qubit states
10 pages, minor corrections, accepted for publication in Physics Letters A
null
10.1016/j.physleta.2007.01.067
null
quant-ph
null
Given two two-qubit pure states characterized by their Schmidt numbers we investigate an optimal strategy to convert the states between themselves with respect to their local unitary invariance. We discuss the efficiency of this transformation and its connection to LOCC convertibility properties between two single-copy quantum states. As an illustration of the investigated transformations we present a communication protocol where in spite of all expectations a shared maximally entangled pair between two participants is the worst quantum resource.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 22:37:01 GMT" }, { "version": "v2", "created": "Sat, 11 Nov 2006 19:28:03 GMT" }, { "version": "v3", "created": "Tue, 23 Jan 2007 02:03:25 GMT" } ]
2015-06-26T00:00:00
[ [ "Bradler", "K.", "" ] ]
quant-ph/0611108
John Morton
John J. L. Morton, Alexei M. Tyryshkin, Arzhang Ardavan, Kyriakos Porfyrakis, S. A. Lyon and G. Andrew D. Briggs
Environmental effects on electron spin relaxation in N@C60
7 pages, 6 figures
null
10.1103/PhysRevB.76.085418
null
quant-ph
null
We examine environmental effects of surrounding nuclear spins on the electron spin relaxation of the N@C60 molecule (which consists of a nitrogen atom at the centre of a fullerene cage). Using dilute solutions of N@C60 in regular and deuterated toluene, we observe and model the effect of translational diffusion of nuclear spins of the solvent molecules on the N@C60 electron spin relaxation times. We also study spin relaxation in frozen solutions of N@C60 in CS2, to which small quantities of a glassing agent, S2Cl2 are added. At low temperatures, spin relaxation is caused by spectral diffusion of surrounding nuclear 35Cl and 37Cl spins in the S2Cl2, but nevertheless, at 20 K, T2 times as long as 0.23 ms are observed.
[ { "version": "v1", "created": "Thu, 9 Nov 2006 23:59:14 GMT" }, { "version": "v2", "created": "Sun, 12 Nov 2006 21:22:42 GMT" }, { "version": "v3", "created": "Sun, 15 Apr 2007 18:54:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Morton", "John J. L.", "" ], [ "Tyryshkin", "Alexei M.", "" ], [ "Ardavan", "Arzhang", "" ], [ "Porfyrakis", "Kyriakos", "" ], [ "Lyon", "S. A.", "" ], [ "Briggs", "G. Andrew D.", "" ] ]
quant-ph/0611109
Daniel Van Gent
Robert Desbrandes and Daniel Van Gent
Intercontinental quantum liaisons between entangled electrons in ion traps of thermoluminescent crystals
null
null
null
null
quant-ph
null
The experiments reported in this paper were carried out with space-separated entangled thermoluminescent dosimetry (TLD) crystals in Baton Rouge, Louisiana (USA) and Givarlais (France) at 8,182 km between entangled samples. Samples consisted of doped lithium fluoride TLD's that were simultaneously irradiated in pairs together at one location by Bremsstrahlung radiation generated by a Varian CLINAC unit. One of the paired TLD crystals was then mailed to Baton Rouge and its entangled counterpart remained in Givarlais. The crystal in Baton Rouge (master) was then subjected to thermal stimulation which elicited a measurable light emission response in the counterpart (slave) under a photomultiplier in Givarlais. Highly correlated passive light emissions were observed in the nonheated slave TLD while the master TLD was ramped up in temperature and then allowed to cool to ambient temperature. Maximum correlations in the slave TLD light emissions were observed at the turn around temperature which is the point where the master TLD temperature is allowed to decrease. The experimenter in Girvalais was thus able to determine with high accuracy the point in time at which the master TLD heating oven was turned off (turn around point) without any communication between the experimenters during the heating-cooling phase of the experiment. The implications of these observed results are of great significance for quantum communication technology.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 01:19:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Desbrandes", "Robert", "" ], [ "Van Gent", "Daniel", "" ] ]
quant-ph/0611110
Howard N. Barnum
Howard Barnum
Coordinating quantum agents' perspectives: convex operational theories, quantum information, and quantum foundations
41 pages. Greatly extended version of quant-ph/0304159 with several additional topics discussed--more philosophical material toward the beginning, more technical (but still fairly discursive) material toward the end
null
null
null
quant-ph
null
In this paper, I propose a project of enlisting quantum information science as a source of task-oriented axioms for use in the investigation of operational theories in a general framework capable of encompassing quantum mechanics, classical theory, and more. Whatever else they may be, quantum states of systems are compendia of probabilities for the outcomes of possible operations we may perform on the systems: ``operational theories.'' I discuss appropriate general frameworks for such theories, in which convexity plays a key role. Such frameworks are appropriate for investigating what things look like from an ``inside view,'' i.e. for describing perspectival information that one subsystem of the world can have about another. Understanding how such views can combine, and whether an overall ``geometric'' picture (``outside view'') coordinating them all can be had, even if this picture is very different in nature from the structure of the perspectives within it, is the key to understanding whether we may be able to achieve a unified, ``objective'' physical view in which quantum mechanics is the appropriate description for certain perspectives, or whether quantum mechanics is truly telling us we must go beyond this ``geometric'' conception of physics. The nature of information, its flow and processing, as seen from various operational persepectives, is likely to be key to understanding whether and how such coordination and unification can be achieved.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 00:50:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Barnum", "Howard", "" ] ]
quant-ph/0611111
Francesco Buscemi Dr
Francesco Buscemi
Channel correction via quantum erasure
4 pages RevTex4. Revised version, drastically modified. To appear on PRL
Phys. Rev. Lett. 99, 180501 (2007)
10.1103/PhysRevLett.99.180501
null
quant-ph
null
By exploiting a generalization of recent results on environment-assisted channel correction, we show that, whenever a quantum system undergoes a channel realized as an interaction with a probe, the more efficiently the information about the input state can be erased from the probe, the higher is the corresponding entanglement fidelity of the corrected channel, and vice-versa. The present analysis applies also to channels for which perfect quantum erasure is impossible, thus extending the original quantum eraser arrangement, and naturally embodies a general information-disturbance tradeoff.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 01:23:48 GMT" }, { "version": "v2", "created": "Mon, 10 Sep 2007 06:04:47 GMT" } ]
2007-10-29T00:00:00
[ [ "Buscemi", "Francesco", "" ] ]
quant-ph/0611112
Alexandre Soujaeff
Alexandre Soujaeff (JST-CREST, RIES, Hokkaido University), Shigeki Takeuchi (RIES, Hokkaido University), Keiji Sasaki (RIES, Hokkaido University), Toshio Hasegawa (Mitsubishi Electric Corporation), Mitsuru Matsui (Mitsubishi Electric Corporation)
Heralded single photon source at 1550 nm from pulsed parametric down conversion
8 pages, 1 figure, accepted by Journal of Modern Optics
null
10.1080/09500340600742239
null
quant-ph
null
Heralding of single photon at 1550 nm from pump pulsed non degenerate spontaneous parametric downconversion is demonstrated. P(1) and P(2) of our source are 0.1871 and 2.4 x 10 ^-3 respectively. Triggering of our source is 2.16 x 10^5 trigger.s^-1. This source may be used in QKD system.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 08:16:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Soujaeff", "Alexandre", "", "JST-CREST, RIES, Hokkaido University" ], [ "Takeuchi", "Shigeki", "", "RIES, Hokkaido University" ], [ "Sasaki", "Keiji", "", "RIES, Hokkaido\n University" ], [ "Hasegawa", "Toshio", "", "Mitsubishi Electric Corporation" ], [ "Matsui", "Mitsuru", "", "Mitsubishi Electric Corporation" ] ]
quant-ph/0611113
Stefano Longhi
Stefano Longhi
Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
to appear in Phys. Rev. A (December 2006 issue)
Phys. Rev. A 74, 063826 (2006)
10.1103/PhysRevA.74.063826
null
quant-ph
null
The decay dynamics of the classical electromagnetic field in a leaky optical resonator supporting a single mode coupled to a structured continuum of modes (reservoir) is theoretically investigated, and the issue of threshold condition for lasing in presence of an inverted medium is comprehensively addressed. Specific analytical results are given for a single-mode microcavity resonantly coupled to a coupled resonator optical waveguide (CROW), which supports a band of continuous modes acting as decay channels. For weak coupling, the usual exponential Weisskopf-Wigner (Markovian) decay of the field in the bare resonator is found, and the threshold for lasing increases linearly with the coupling strength. As the coupling between the microcavity and the structured reservoir increases, the field decay in the passive cavity shows non exponential features, and correspondingly the threshold for lasing ceases to increase, reaching a maximum and then starting to decrease as the coupling strength is further increased. A singular behavior for the "laser phase transition", which is a clear signature of strong non-Markovian dynamics, is found at critical values of the coupling between the microcavity and the reservoir.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 08:59:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Longhi", "Stefano", "" ] ]
quant-ph/0611114
Vladimir Manko
Sergio De Nicola Renato Fedele, Margarita A. Man'ko and Vladimir I. Man'ko
New Inequalities for Tomograms in the Probability Representation of Quantum States
10 pages,presented at International Workshop "Nonlinear Physics.Thery and Experiment.IV" (Gallipoli,Lecce,Italy,2006) to be published in Special Issue of "Theoretical and Mathematical Physics"
null
null
null
quant-ph
null
New inequalities for symplectic tomograms of quantum states and their connection with entropic uncertainty relations are discussed within the framework of the probability representation of quantum mechanics.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 09:35:43 GMT" } ]
2016-08-16T00:00:00
[ [ "Fedele", "Sergio De Nicola Renato", "" ], [ "Man'ko", "Margarita A.", "" ], [ "Man'ko", "Vladimir I.", "" ] ]
quant-ph/0611115
Pankaj Agrawal
Arun K. Pati and Pankaj Agrawal
Probabilistic Teleportation of a Qudit
Latex, no figures
null
10.1016/j.physleta.2007.07.016
IP/BBSR/2006-17
quant-ph
null
It is known that if the shared resource is a maximally entangled state then it is possible to teleport an unknown state with unit fidelity and unit probability. However, if the shared resource is a non-maximally entangled state then one has to follow a probabilistic scheme where one can teleport a qubit with unit fidelity and non-unit probability. In this work, we investigate the feasibility of using partially entangled states as a resource for quantum teleportation of a qudit. We also give an expression for the probability of successful teleportation of an unknown qudit.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 12:08:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Pati", "Arun K.", "" ], [ "Agrawal", "Pankaj", "" ] ]
quant-ph/0611116
H. J. Korsch
B. Bahr and H. J. Korsch
Quantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators
29 pages
J.Phys.A40:3959-3985,2007
10.1088/1751-8113/40/14/013
null
quant-ph
null
We discuss some basic tools for an analysis of one-dimensionalquantum systems defined on a cyclic coordinate space. The basic features of the generalized coherent states, the complexifier coherent states are reviewed. These states are then used to define the corresponding (quasi)densities in phase space. The properties of these generalized Husimi distributions are discussed, in particular their zeros.Furthermore, the use of the complexifier coherent states for a semiclassical analysis is demonstrated by deriving a semiclassical coherent state propagator in phase space.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 15:11:27 GMT" }, { "version": "v2", "created": "Wed, 10 Jan 2007 17:07:07 GMT" } ]
2008-11-26T00:00:00
[ [ "Bahr", "B.", "" ], [ "Korsch", "H. J.", "" ] ]
quant-ph/0611117
Anastasia Rodichkina
A.M. Basharov, V.N. Gorbachev, A.A. Rodichkina
Decay and storage of multiparticle entangled states of atoms in collective thermostat
null
Phys.Rev.A 74, 042313 (2006)
10.1103/PhysRevA.74.042313
null
quant-ph
null
We derive a master equation describing the collective decay of two-level atoms inside a single mode cavity in the dispersive limit. By considering atomic decay in the collective thermostat, we found a decoherence-free subspace of the multiparticle entangled states of the W-like class. We present a scheme for writing and storing these states in collective thermostat.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 15:44:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Basharov", "A. M.", "" ], [ "Gorbachev", "V. N.", "" ], [ "Rodichkina", "A. A.", "" ] ]
quant-ph/0611118
Roberto Onofrio
M Brown-Hayes, J.H. Brownell, D.A.R. Dalvit, W.J. Kim, A. Lambrecht, F.C. Lombardo, F.D. Mazzitelli, S.M. Middleman, V.V. Nesvizhevsky, R. Onofrio, and S. Reynaud
Thermal and dissipative effects in Casimir physics
Contribution to QFEXT'06, appeared in special issue of Journal of Physics A
J. Phys. A 39, 6195 (2006)
10.1088/0305-4470/39/21/S10
null
quant-ph
null
We report on current efforts to detect the thermal and dissipative contributions to the Casimir force. For the thermal component, two experiments are in progress at Dartmouth and at the Institute Laue Langevin in Grenoble. The first experiment will seek to detect the Casimir force at the largest explorable distance using a cylinder-plane geometry which offers various advantages with respect to both sphere-plane and parallel-plane geometries. In the second experiment, the Casimir force in the parallel-plane configuration is measured with a dedicated torsional balance, up to 10 micrometers. Parallelism of large surfaces, critical in this configuration, is maintained through the use of inclinometer technology already implemented at Grenoble for the study of gravitationally bound states of ultracold neutrons, For the dissipative component of the Casimir force, we discuss detection techniques based upon the use of hyperfine spectroscopy of ultracold atoms and Rydberg atoms. Although quite challenging, this triad of experimental efforts, if successful, will give us a better knowledge of the interplay between quantum and thermal fluctuations of the electromagnetic field and of the nature of dissipation induced by the motion of objects in a quantum vacuum.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 16:10:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Brown-Hayes", "M", "" ], [ "Brownell", "J. H.", "" ], [ "Dalvit", "D. A. R.", "" ], [ "Kim", "W. J.", "" ], [ "Lambrecht", "A.", "" ], [ "Lombardo", "F. C.", "" ], [ "Mazzitelli", "F. D.", "" ], [ "Middleman", "S. M.", "" ], [ "Nesvizhevsky", "V. V.", "" ], [ "Onofrio", "R.", "" ], [ "Reynaud", "S.", "" ] ]
quant-ph/0611119
Paola Zizzi
Paola Zizzi
Basic Logic and Quantum Entanglement
10 pages, 1 figure,LaTeX. Shorter version for proceedings requirements. Contributed paper at DICE2006, Piombino, Italy
J.Phys.Conf.Ser.67:012045,2007
10.1088/1742-6596/67/1/012045
null
quant-ph hep-th math.LO
null
As it is well known, quantum entanglement is one of the most important features of quantum computing, as it leads to massive quantum parallelism, hence to exponential computational speed-up. In a sense, quantum entanglement is considered as an implicit property of quantum computation itself. But...can it be made explicit? In other words, is it possible to find the connective "entanglement" in a logical sequent calculus for the machine language? And also, is it possible to "teach" the quantum computer to "mimic" the EPR "paradox"? The answer is in the affirmative, if the logical sequent calculus is that of the weakest possible logic, namely Basic logic. A weak logic has few structural rules. But in logic, a weak structure leaves more room for connectives (for example the connective "entanglement"). Furthermore, the absence in Basic logic of the two structural rules of contraction and weakening corresponds to the validity of the no-cloning and no-erase theorems, respectively, in quantum computing.
[ { "version": "v1", "created": "Fri, 10 Nov 2006 16:17:18 GMT" }, { "version": "v2", "created": "Mon, 5 Feb 2007 14:06:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Zizzi", "Paola", "" ] ]
quant-ph/0611120
Bing Qi
Lei-Lei Huang, Bing Qi, Li Qian, Hoi-Kwong Lo
Continuous-Variables Quantum Key Distribution over Standard Telecom Fiber
This paper has been withdrawn
null
null
null
quant-ph
null
This paper has been withdrawn
[ { "version": "v1", "created": "Fri, 10 Nov 2006 16:37:52 GMT" }, { "version": "v2", "created": "Thu, 3 May 2007 14:50:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Huang", "Lei-Lei", "" ], [ "Qi", "Bing", "" ], [ "Qian", "Li", "" ], [ "Lo", "Hoi-Kwong", "" ] ]
quant-ph/0611121
Jan Ivar Korsbakken
Jan Ivar Korsbakken, K. Birgitta Whaley, Jonathan DuBois, J. Ignacio Cirac
A measurement-based measure of the size of macroscopic quantum superpositions
21 pages, 20 figures. Accepted by Phys. Rev. A. Replaced old version with accepted version. Significant changes and improvements, particularly to section on 1-particle measurements
Phys. Rev. A 75, 042106 (2007)
10.1103/PhysRevA.75.042106
null
quant-ph
null
Recent experiments claiming formation of quantum superposition states in near macroscopic sys- tems raise the question of how the sizes of general quantum superposition states in an interacting system are to be quantified. We propose here a measure of size for such superposition states that is based on what measurements can be performed to probe and distinguish the different branches of the state. The measure allows comparison of the effective size for superposition states in very different physical systems. It can be applied to a very general class of superposition states and reproduces known results for near-ideal cases. Comparison with a prior measure based on analy- sis of coherence between branches indicates that significantly smaller effective superposition sizes result from our measurement-based measure. Application to a system of interacting bosons in a double-well trapping potential shows that the effective superposition size is strongly dependent on the relative magnitude of the barrier height and interparticle interaction.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 22:56:52 GMT" }, { "version": "v2", "created": "Tue, 10 Apr 2007 01:37:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Korsbakken", "Jan Ivar", "" ], [ "Whaley", "K. Birgitta", "" ], [ "DuBois", "Jonathan", "" ], [ "Cirac", "J. Ignacio", "" ] ]
quant-ph/0611122
Zhang Chi
Chi Zhang, Guoming Wang, Mingsheng Ying
Discrimination between pure states and mixed states
null
null
10.1103/PhysRevA.75.062306
null
quant-ph
null
In this paper, we discuss the problem of determining whether a quantum system is in a pure state, or in a mixed state. We apply two strategies to settle this problem: the unambiguous discrimination and the maximum confidence discrimination. We also proved that the optimal versions of both strategies are equivalent. The efficiency of the discrimination is also analyzed. This scheme also provides a method to estimate purity of quantum states, and Schmidt numbers of composed systems.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 07:01:31 GMT" }, { "version": "v2", "created": "Fri, 9 Feb 2007 14:11:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Chi", "" ], [ "Wang", "Guoming", "" ], [ "Ying", "Mingsheng", "" ] ]
quant-ph/0611123
Qing Xu Mr.
Q. XU, M.B. Costa e Silva, S. Agnolini, P. Gallion, F.J. Mendieta
Photon Counting and Super Homodyne Detection of Weak QPSK Signals for Quantum Key Distribution
2 pages, 3 figues, EOS Annual Meeting 2006, Topical Meeting on Extreme Optics (QEOD/EPS), Paris, Oct. 2006
EOS 2006 Annual meeting Proceeding
null
null
quant-ph
null
We compare the principles and experimental results of two different QPSK signal detection configurations, photon counting and super homodyning, for applications in fiber-optic Quantum Key Distribution (QKD) systems operating at telecom wavelength, using the BB84 protocol.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 12:21:04 GMT" } ]
2007-05-23T00:00:00
[ [ "XU", "Q.", "" ], [ "Silva", "M. B. Costa e", "" ], [ "Agnolini", "S.", "" ], [ "Gallion", "P.", "" ], [ "Mendieta", "F. J.", "" ] ]
quant-ph/0611124
Hossein Movahhedian
Hossein Movahhedian
Stronger Violation of Local Theories with Equalities
8 pages, RevTeX4
J. Phys. A: Math. Theor. 40 (2007) 2839-2847
10.1088/1751-8113/40/11/018
null
quant-ph
null
Bell type inequalities are used to test local realism against quantum theory.In this paper, we consider a two party system with two settings and two possible outcomes on each side, and derive equalities in local theories which are violated by quantum theory by a factor of 1.522 tolerating 0.586 fraction of white noise admixture which is twice that of the previous results.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 13:58:47 GMT" }, { "version": "v2", "created": "Fri, 1 Dec 2006 14:24:28 GMT" }, { "version": "v3", "created": "Sun, 4 Feb 2007 08:35:05 GMT" }, { "version": "v4", "created": "Fri, 16 Feb 2007 01:14:45 GMT" }, { "version": "v5", "created": "Thu, 1 Mar 2007 03:16:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Movahhedian", "Hossein", "" ] ]
quant-ph/0611125
Subhashish Banerjee
Subhashish Banerjee and R. Ghosh
Structure of propagators for quantum nondemolition systems
7 page, no figures, REVTeX4
null
null
null
quant-ph
null
In the scheme of a quantum nondemolition (QND) measurement, an observable is measured without perturbing its evolution. In the context of studies of decoherence in quantum computing, we examine the `open' quantum system of a two-level atom, or equivalently, a spin-1/2 system, in interaction with quantum reservoirs of either oscillators or spins, under the QND condition of the Hamiltonian of the system commuting with the system-reservoir interaction. The propagators for these QND Hamiltonians are shown to be connected to the squeezing and rotation operators for the two baths, respectively. Squeezing and rotation being both phase space area-preserving canonical transformations, this brings out an interesting analogy between the energy-preserving QND Hamiltonians and the homogeneous linear canonical transformations.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 14:33:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Banerjee", "Subhashish", "" ], [ "Ghosh", "R.", "" ] ]
quant-ph/0611126
Zeqian Chen
Zeqian Chen
Variants of Bell inequalities
8 pages
null
null
null
quant-ph
null
A family of Bell-type inequalities is present, which are constructed directly from the "standard" Bell inequalities involving two dichotomic observables per site. It is shown that the inequalities are violated by all the generalized Greenberger-Horne-Zeilinger states of multiqubits. Remarkably, our new inequalities can provide stronger non-locality tests in a sense that the local reality inequalities are exponentially stronger than the corresponding multipartite separability inequalities. This reveals that the exponential violation of local realism by separable states is an interesting consequence of quantum fluctuation of multipartite systems.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 11:37:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Zeqian", "" ] ]
quant-ph/0611127
Subhashish Banerjee
Subhashish Banerjee and R. Ghosh
Functional integral treatment of some quantum nondemolition systems
16 pages, no figures
J. Phys. A: Math. Theo. 40, 1273 (2007)
10.1088/1751-8113/40/6/006
RRI-TP-1106a
quant-ph
null
In the scheme of a quantum nondemolition (QND) measurement, an observable is measured without perturbing its evolution. In the context of studies of decoherence in quantum computing, we examine the `open' quantum system of a two-level atom, or equivalently, a spin-1/2 system, in interaction with quantum reservoirs of either oscillators or spins, under the QND condition of the Hamiltonian of the system commuting with the system-reservoir interaction. For completeness, we also examine the well-known non-QND spin-Bose problem. For all these many-body systems, we use the methods of functional integration to work out the propagators. The propagators for the QND Hamiltonians are shown to be analogous to the squeezing and rotation operators, respectively, for the two kinds of baths considered. Squeezing and rotation being both phase space area-preserving canonical transformations, this brings out an interesting connection between the energy-preserving QND Hamiltonians and the homogeneous linear canonical transformations.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 14:50:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Banerjee", "Subhashish", "" ], [ "Ghosh", "R.", "" ] ]
quant-ph/0611128
Alex Kuzmich
S.-Y. Lan, S. D. Jenkins, T. Chaneliere, D. N. Matsukevich, C. J. Campbell, R. Zhao, T. A. B. Kennedy, and A. Kuzmich
Dual species matter qubit entangled with light
5 pages, 3 figures
Physical Review Letters 98, 123602 (2007)
10.1103/PhysRevLett.98.123602
null
quant-ph
null
We propose and demonstrate an atomic qubit based on a cold $^{85}$Rb-$^{87}$Rb isotopic mixture, entangled with a frequency-encoded optical qubit. The interface of an atomic qubit with a single spatial light mode, and the ability to independently address the two atomic qubit states, should provide the basic element of an interferometrically robust quantum network.
[ { "version": "v1", "created": "Sat, 11 Nov 2006 18:44:39 GMT" } ]
2015-06-26T00:00:00
[ [ "Lan", "S. -Y.", "" ], [ "Jenkins", "S. D.", "" ], [ "Chaneliere", "T.", "" ], [ "Matsukevich", "D. N.", "" ], [ "Campbell", "C. J.", "" ], [ "Zhao", "R.", "" ], [ "Kennedy", "T. A. B.", "" ], [ "Kuzmich", "A.", "" ] ]
quant-ph/0611129
Kia Manouchehri
K. Manouchehri and J.B. Wang
Continuous-Time Quantum Random Walks Require Discrete Space
19 pages, 9 figures, to appear in J. Phys. A
null
10.1088/1751-8113/40/45/016
null
quant-ph
null
Quantum random walks are shown to have non-intuitive dynamics which makes them an attractive area of study for devising quantum algorithms for long-standing open problems as well as those arising in the field of quantum computing. In the case of continuous-time quantum random walks, such peculiar dynamics can arise from simple evolution operators closely resembling the quantum free-wave propagator. We investigate the divergence of quantum walk dynamics from the free-wave evolution and show that in order for continuous-time quantum walks to display their characteristic propagation, the state space must be discrete. This behavior rules out many continuous quantum systems as possible candidates for implementing continuous-time quantum random walks.
[ { "version": "v1", "created": "Sun, 12 Nov 2006 01:17:08 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 09:33:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Manouchehri", "K.", "" ], [ "Wang", "J. B.", "" ] ]
quant-ph/0611130
Vahid Karimipour
V. Karimipour, L. Memarzadeh
Entanglement and optimal strings of qubits for memory channels
14 pages, 8 figures, latex, accepted for publication in Physical Review A
Phys. Rev. A 74, 062311 (2006)
10.1103/PhysRevA.74.062311
null
quant-ph
null
We investigate the problem of enhancement of mutual information by encoding classical data into entangled input states of arbitrary length and show that while there is a threshold memory or correlation parameter beyond which entangled states outperform the separable states, resulting in a higher mutual information, this memory threshold increases toward unity as the length of the string increases. These observations imply that encoding classical data into entangled states may not enhance the classical capacity of quantum channels.
[ { "version": "v1", "created": "Sun, 12 Nov 2006 04:32:59 GMT" }, { "version": "v2", "created": "Thu, 23 Nov 2006 04:18:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Karimipour", "V.", "" ], [ "Memarzadeh", "L.", "" ] ]
quant-ph/0611131
Klaus Wirthm\"uller
Klaus Wirthm\"uller
Homological invariants of stabilizer states
18 pages, 4 figures
Quantum Inf. Comput. 8, 595 (2008)
null
null
quant-ph
null
We propose a new kind of invariant of multi-party stabilizer states with respect to local Clifford equivalence. These homological invariants are discrete entities defined in terms of the entanglement a state enjoys with respect to arbitrary groupings of the parties, and they may be thought of as reflecting entanglement in a qualitative way. We investigate basic properties of the invariants and link them with known results on the extraction of GHZ states.
[ { "version": "v1", "created": "Sun, 12 Nov 2006 14:34:44 GMT" } ]
2008-03-18T00:00:00
[ [ "Wirthmüller", "Klaus", "" ] ]
quant-ph/0611132
Karl Gerd Vollbrecht
K. G. H. Vollbrecht and J. I. Cirac
Delocalized Entanglement of Atoms in optical Lattices
null
Phys. Rev. Lett. 98, 190502 (2007)
10.1103/PhysRevLett.98.190502
null
quant-ph cond-mat.other
null
We show how to detect and quantify entanglement of atoms in optical lattices in terms of correlations functions of the momentum distribution. These distributions can be measured directly in the experiments. We introduce two kinds of entanglement measures related to the position and the spin of the atoms.
[ { "version": "v1", "created": "Sun, 12 Nov 2006 18:21:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Vollbrecht", "K. G. H.", "" ], [ "Cirac", "J. I.", "" ] ]
quant-ph/0611133
Philippe Raynal
Philippe Raynal
Unambiguous State Discrimination of two density matrices in Quantum Information Theory
PhD thesis - August 2006 - 135 pages
null
null
null
quant-ph
null
In this thesis we study the problem of unambiguously discriminating two mixed quantum states. We first present reduction theorems for optimal unambiguous discrimination of two generic density matrices. We show that this problem can be reduced to that of two density matrices that have the same rank $r$ in a 2$r$-dimensional Hilbert space. These reduction theorems also allow us to reduce USD problems to simpler ones for which the solution might be known. As an application, we consider the unambiguous comparison of $n$ linearly independent pure states with a simple symmetry. Moreover, lower bounds on the optimal failure probability have been derived. For two mixed states they are given in terms of the fidelity. Here we give tighter bounds as well as necessary and sufficient conditions for two mixed states to reach these bounds. We also construct the corresponding optimal measurement. With this result, we provide analytical solutions for unambiguously discriminating a class of generic mixed states. This goes beyond known results which are all reducible to some pure state case. We however show that examples exist where the bounds cannot be reached. Next, we derive properties on the rank and the spectrum of an optimal USD measurement. This finally leads to a second class of exact solutions. Indeed we present the optimal failure probability as well as the optimal measurement for unambiguously discriminating any pair of geometrically uniform mixed states in four dimensions. This class of problems includes for example the discrimination of both the basis and the bit value mixed states in the BB84 QKD protocol with coherent states.
[ { "version": "v1", "created": "Sun, 12 Nov 2006 20:37:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Raynal", "Philippe", "" ] ]
quant-ph/0611134
Yonghua Lu
N. Garcia
The One Dimensional Approachissimo Quantum Harmonic Oscillator: The Hilbert-Polya Hamiltonian for the Primes and the Zeros of the Riemann Function
19 pages, 3 figures
null
null
null
quant-ph math-ph math.MP math.NT
null
I have made an ample study of one dimensional quantum oscillators, ranging from logarithmic to exponential potentials. I have found that the eigenvalues of the hamiltonian of the oscillator with the limiting (approachissimo) harmonic potential (~ p(x)2) maps the zeros of the Riemann function height up in the Riemann line. This is the potential created by the field of J(x) that is the Riemann generator of the prime number counting function, p(x), that in turn can be defined by an integral transformation of the Riemann zeta function. This plays the role of the spring strength of the quantum limiting harmonic oscillator. The number theory meaning of this result is that the roots height up of the zeta function are the eigenvalues of a Hamiltonian whose potential is the number of primes squared up to a given x. Therefore this may prove the never published Hilbert-Polya conjecture. The conjecture is true but does not imply the truth of the Riemann hypothesis. We can have complex conjugated zeros off the Riemman line and map them with another hermitic operator and a general expression is given for that. The zeros off the line affect the fluctuation of the eigenvalues but not their mean values.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 09:48:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Garcia", "N.", "" ] ]
quant-ph/0611135
Jan Naudts
Tobias Verhulst and Jan Naudts
Entanglement of a microcanonical ensemble
10 pages
J. Phys. A 40, 2475-2483 (2007)
10.1088/1751-8113/40/10/016
null
quant-ph
null
We replace time-averaged entanglement by ensemble-averaged entanglement and derive a simple expression for the latter. We show how to calculate the ensemble average for a two-spin system and for the Jaynes-Cummings model. In both cases the time-dependent entanglement is known as well so that one can verify that the time average coincides with the ensemble average.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 13:35:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Verhulst", "Tobias", "" ], [ "Naudts", "Jan", "" ] ]
quant-ph/0611136
Lucia Rizzuto
R. Passante, F. Persico, L. Rizzuto
Nonlocal field correlations and dynamical Casimir-Polder forces between one excited- and two ground-state atoms
17 pages, 1 figure, sub. to Phys. Rev. A
null
10.1088/0953-4075/40/10/020
null
quant-ph
null
The problem of nonlocality in the dynamical three-body Casimir-Polder interaction between an initially excited and two ground-state atoms is considered. It is shown that the nonlocal spatial correlations of the field emitted by the excited atom during the initial part of its spontaneous decay may become manifest in the three-body interaction. The observability of this new phenomenon is discussed.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 14:51:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Passante", "R.", "" ], [ "Persico", "F.", "" ], [ "Rizzuto", "L.", "" ] ]
quant-ph/0611137
Julio Gea-Banacloche
Julio Gea-Banacloche and Masanao Ozawa
Minimum-energy pulses for quantum logic cannot be shared
To appear in Phys. Rev. A, Rapid Communications
null
10.1103/PhysRevA.74.060301
null
quant-ph
null
We show that if an electromagnetic energy pulse with average photon number <n> is used to carry out the same quantum logical operation on a set of N atoms, either simultaneously or sequentially, the overall error probability in the worst case scenario (i.e., maximized over all the possible initial atomic states) scales as N^2/<n>. This means that in order to keep the error probability bounded by N\epsilon, with \epsilon ~ 1/<n>, one needs to use N/\epsilon photons, or equivalently N separate "minimum-energy'' pulses: in this sense the pulses cannot, in general, be shared. The origin for this phenomenon is found in atom-field entanglement. These results may have important consequences for quantum logic and, in particular, for large-scale quantum computation.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 15:25:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Gea-Banacloche", "Julio", "" ], [ "Ozawa", "Masanao", "" ] ]
quant-ph/0611138
Jose Geraldo Peixoto de Faria
R. Rossi Jr., M. C. Nemes, J. G. Peixoto de Faria
Atomic detection in microwave cavity experiments: a dynamical model
12 pages, 1 figure
null
10.1103/PhysRevA.75.063819
null
quant-ph
null
We construct a model for the detection of one atom maser in the context of cavity Quantum Electrodynamics (QED) used to study coherence properties of superpositions of electromagnetic modes. Analytic expressions for the atomic ionization are obtained, considering the imperfections of the measurement process due to the probabilistic nature of the interactions between the ionization field and the atoms. Limited efficiency and false counting rates are considered in a dynamical context, and consequent results on the information about the state of the cavity modes are obtained.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 16:14:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Rossi", "R.", "Jr." ], [ "Nemes", "M. C.", "" ], [ "de Faria", "J. G. Peixoto", "" ] ]
quant-ph/0611139
Paul Benioff
Paul Benioff
Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings
24 pages, 5 figures; submitted to proceedings, 3rd Feynman Festival, University of Maryland, 2006
Journal of Physics: Conference Series 70 (2007) 012003
10.1088/1742-6596/70/1/012003
null
quant-ph
null
In this paper fields of quantum reference frames based on gauge transformations of rational string states are described in a way that, hopefully, makes them more understandable than their description in an earlier paper. The approach taken here is based on three main points: (1) There are a large number of different quantum theory representations of natural numbers, integers, and rational numbers as states of qubit strings. (2) For each representation, Cauchy sequences of rational string states give a representation of the real (and complex) numbers. A reference frame is associated to each representation. (3) Each frame contains a representation of all mathematical and physical theories that have the representations of the real and complex numbers as a scalar base for the theories. These points and other aspects of the resulting fields are then discussed and justified in some detail. Also two different methods of relating the frame field to physics are discussed.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 21:06:59 GMT" } ]
2011-11-09T00:00:00
[ [ "Benioff", "Paul", "" ] ]
quant-ph/0611140
Jens Eisert
K. Kieling, T. Rudolph, J. Eisert
Percolation, renormalization, and quantum computing with non-deterministic gates
5 pages, 4 figures, discussion of strategies to deal with further imperfections extended, references updated
Phys. Rev. Lett. 99, 130501 (2007)
10.1103/PhysRevLett.99.130501
null
quant-ph cond-mat.stat-mech
null
We apply a notion of static renormalization to the preparation of entangled states for quantum computing, exploiting ideas from percolation theory. Such a strategy yields a novel way to cope with the randomness of non-deterministic quantum gates. This is most relevant in the context of optical architectures, where probabilistic gates are common, and cold atoms in optical lattices, where hole defects occur. We demonstrate how to efficiently construct cluster states without the need for rerouting, thereby avoiding a massive amount of conditional dynamics; we furthermore show that except for a single layer of gates during the preparation, all subsequent operations can be shifted to the final adapted single qubit measurements. Remarkably, cluster state preparation is achieved using essentially the same scaling in resources as if deterministic gates were available.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 19:18:06 GMT" }, { "version": "v2", "created": "Thu, 17 May 2007 18:23:47 GMT" }, { "version": "v3", "created": "Fri, 20 Jul 2007 10:38:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Kieling", "K.", "" ], [ "Rudolph", "T.", "" ], [ "Eisert", "J.", "" ] ]
quant-ph/0611141
Anil Shaji
Thomas F. Jordan, Anil Shaji, E. C. G. Sudarshan
One qubit almost completely reveals the dynamics of two
6 pages with new and updated material
null
10.1103/PhysRevA.76.012101
null
quant-ph
null
From the time dependence of states of one of them, the dynamics of two interacting qubits is determined to be one of two possibilities that differ only by a change of signs of parameters in the Hamiltonian. The only exception is a simple particular case where several parameters in the Hamiltonian are zero and one of the remaining nonzero parameters has no effect on the time dependence of states of the one qubit. The mean values that describe the initial state of the other qubit and of the correlations between the two qubits also are generally determined to within a change of signs by the time dependence of states of the one qubit, but with many more exceptions. An example demonstrates all the results. Feedback in the equations of motion that allows time dependence in a subsystem to determine the dynamics of the larger system can occur in both classical and quantum mechanics. The role of quantum mechanics here is just to identify qubits as the simplest objects to consider and specify the form that equations of motion for two interacting qubits can take.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 21:33:48 GMT" }, { "version": "v2", "created": "Mon, 21 May 2007 20:09:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Jordan", "Thomas F.", "" ], [ "Shaji", "Anil", "" ], [ "Sudarshan", "E. C. G.", "" ] ]
quant-ph/0611142
Kai Chen
Kai Chen, Sergio Albeverio, and Shao-Ming Fei
Two-Setting Bell Inequalities for Many Qubits
4 pages, no figure
Phys. Rev. A 74, 050101(R) (2006)
10.1103/PhysRevA.74.050101
null
quant-ph
null
We present a family of Bell inequalities involving only two measurement settings of each party for N>2 qubits. Our inequalities include all the standard ones with fewer than N qubits and thus gives a natural generalization. It is shown that all the Greenberger-Horne-Zeilinger states violate the inequalities maximally, with an amount that grows exponentially as 2^{{(N-2)}/2}. The inequalities are also violated by some states that do satisfy all the standard Bell inequalities. Remarkably, our results yield in an efficient and simple way an implementation of nonlocality tests of many qubits favorably within reach of the well-established technology of linear optics.
[ { "version": "v1", "created": "Mon, 13 Nov 2006 22:34:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Kai", "" ], [ "Albeverio", "Sergio", "" ], [ "Fei", "Shao-Ming", "" ] ]
quant-ph/0611143
James P. Crutchfield
Karoline Wiesner and James P. Crutchfield
Infinite Correlation in Measured Quantum Processes
2 pages, 2 figures
null
null
null
quant-ph
null
We show that quantum dynamical systems can exhibit infinite correlations in their behavior when repeatedly measured. We model quantum processes using quantum finite-state generators and take the stochastic language they generate as a representation of their behavior. We analyze two spin-1 quantum systems that differ only in how they are observed. The corresponding language generated has short-range correlation in one case and infinite correlation in the other.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 00:30:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Wiesner", "Karoline", "" ], [ "Crutchfield", "James P.", "" ] ]
quant-ph/0611144
Hoshang Heydari
Hoshang Heydari
Geometrical structure of entangled states and secant variety
7 pages
Quantum Information Processing 7(1) (2008) 43-50
null
null
quant-ph
null
We show that the secant variety of the Segre variety gives useful information about the geometrical structure of an arbitrary multipartite quantum system. In particular, we investigate the relation between arbitrary bipartite and three-partite entangled states and this secant variety. We also discuss the geometry of an arbitrary general multipartite state.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 01:59:51 GMT" } ]
2008-06-05T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
quant-ph/0611145
He Guangqiang
Guangqiang He, Jun Zhu and Guihua Zeng
Deterministic Quantum Key Distribution Using Gaussian-Modulated Squeezed States
7 pages, 4figures
null
10.1088/1009-1963/15/6/025
null
quant-ph
null
A continuous variable ping-pong scheme, which is utilized to generate deterministically private key, is proposed. The proposed scheme is implemented physically by using Gaussian-modulated squeezed states. The deterministic way, i.e., no basis reconciliation between two parties, leads a two-times efficiency comparing to the standard quantum key distribution schemes. Especially, the separate control mode does not need in the proposed scheme so that it is simpler and more available than previous ping-pong schemes. The attacker may be detected easily through the fidelity of the transmitted signal, and may not be successful in the beam splitter attack strategy.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 02:25:32 GMT" } ]
2009-11-13T00:00:00
[ [ "He", "Guangqiang", "" ], [ "Zhu", "Jun", "" ], [ "Zeng", "Guihua", "" ] ]
quant-ph/0611146
Kimikazu Kato
Kimikazu Kato, Mayumi Oto, Hiroshi Imai, Keiko Imai
Voronoi Diagrams and a Numerical Estimation of a Quantum Channel Capacity
Presented at 2nd Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS 2006)
null
null
null
quant-ph
null
We give a new geometric interpretation of quantum pure states. Using Voronoi diagrams, we reinterpret the structure of the space of pure states as a subspace of the quantum state space. In addition to the known coincidence of some Voronoi diagrams for one-qubit pure states, we will show that even for mixed one-qubit states, as far as sites are given as pure states, the Voronoi diagram with respect to some distances -- the divergence, the Bures distance, and the Euclidean distance -- are all the same. As to higher level pure quantum states, for the divergence, the Fubini-Study distance, and the Bures distance, the coincidence of the diagrams still holds, while the coincidence of the diagrams with respect to the divergence and the Euclidean distance no longer holds. That fact has a significant meaning when we try to apply the method used for a numerical estimation of a one-qubit quantum channel capacity to a higher level system.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 04:51:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Kato", "Kimikazu", "" ], [ "Oto", "Mayumi", "" ], [ "Imai", "Hiroshi", "" ], [ "Imai", "Keiko", "" ] ]
quant-ph/0611147
Boris Tsirelson
Boris Tsirelson
How often is the coordinate of a harmonic oscillator positive?
15 pages
null
null
null
quant-ph math.PR
null
The coordinate of a harmonic oscillator is measured at a time chosen at random among three equiprobable instants: now, after one third of the period, or after two thirds. The (total) probability that the outcome is positive depends on the state of the oscillator. In the classical case the probability varies between 1/3 and 2/3, but in the quantum case -- between 0.29 and 0.71.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 07:08:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Tsirelson", "Boris", "" ] ]
quant-ph/0611148
Joerg Evers
M. Macovei, J. Evers, C. H. Keitel, M. S. Zubairy
Localization of atomic ensembles via superfluorescence
7 pages, 6 figures
Phys. Rev. A 75, 033801 (2007)
10.1103/PhysRevA.75.033801
null
quant-ph
null
The sub-wavelength localization of an ensemble of atoms concentrated to a small volume in space is investigated. The localization relies on the interaction of the ensemble with a standing wave laser field. The light scattered in the interaction of standing wave field and atom ensemble depends on the position of the ensemble relative to the standing wave nodes. This relation can be described by a fluorescence intensity profile, which depends on the standing wave field parameters, the ensemble properties, and which is modified due to collective effects in the ensemble of nearby particles. We demonstrate that the intensity profile can be tailored to suit different localization setups. Finally, we apply these results to two localization schemes. First, we show how to localize an ensemble fixed at a certain position in the standing wave field. Second, we discuss localization of an ensemble passing through the standing wave field.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 09:06:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Macovei", "M.", "" ], [ "Evers", "J.", "" ], [ "Keitel", "C. H.", "" ], [ "Zubairy", "M. S.", "" ] ]
quant-ph/0611149
Omar Mustafa
Omar Mustafa and S.Habib Mazharimousavi
(1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
11 pages, no figures, revised
Int. J. Theor. Phys. 47, 1112 (2008)
10.1007/s10773-007-9539-3
null
quant-ph
null
The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar interactions, is re-emphasized. The signature of the "quasi-parity" on the Dirac particles' spectra is also studied. A Dirac particle with PDM and complexified scalar interactions of the form S(z)=S(x-ib) (an inversely linear plus linear, leading to a PT-symmetric oscillator model), and S(x)=S_{r}(x)+iS_{i}(x) (a PT-symmetric Scarf II model) are considered. Moreover, a first-order intertwining differential operator and an $\eta$-weak-pseudo-Hermiticity generator are presented and a complexified PT-symmetric periodic-type model is used as an illustrative example.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 09:40:52 GMT" }, { "version": "v2", "created": "Sun, 4 Feb 2007 07:51:31 GMT" }, { "version": "v3", "created": "Thu, 12 Apr 2007 09:54:36 GMT" } ]
2008-04-04T00:00:00
[ [ "Mustafa", "Omar", "" ], [ "Mazharimousavi", "S. Habib", "" ] ]
quant-ph/0611150
Dieter Heiss
D.P.Musumbu, H.B.Geyer and W.D.Heiss
Choice of a Metric for the Non-Hermitian Oscillator
to appear in J Phys A
null
null
null
quant-ph
null
The harmonic oscillator Hamiltonian, when augmented by a non-Hermitian $\cal{PT}$-symmetric part, can be transformed into a Hermitian Hamiltonian. This is achieved by introducing a metric which, in general, renders other observables such as the usual momentum or position as non-Hermitian operators. The metric depends on one real parameter, the full range of which is investigated. The explicit functional dependence of the metric and each associated Hamiltonian is given. A specific choice of this parameter determines a specific combination of position and momentum as being an observable; this can be in particular either standard position or momentum, but not both simultaneously. Singularities of the metric are explored and their removability is investigated. The physical significance of these findings is discussed
[ { "version": "v1", "created": "Tue, 14 Nov 2006 10:02:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Musumbu", "D. P.", "" ], [ "Geyer", "H. B.", "" ], [ "Heiss", "W. D.", "" ] ]
quant-ph/0611151
Marcos Curty
Marcos Curty, Tobias Moroder
On single-photon quantum key distribution in the presence of loss
14 pages, 6 figures
Phys. Rev. A 75, 052336 (2007)
10.1103/PhysRevA.75.052336
null
quant-ph
null
We investigate two-way and one-way single-photon quantum key distribution (QKD) protocols in the presence of loss introduced by the quantum channel. Our analysis is based on a simple precondition for secure QKD in each case. In particular, the legitimate users need to prove that there exists no separable state (in the case of two-way QKD), or that there exists no quantum state having a symmetric extension (one-way QKD), that is compatible with the available measurements results. We show that both criteria can be formulated as a convex optimisation problem known as a semidefinite program, which can be efficiently solved. Moreover, we prove that the solution to the dual optimisation corresponds to the evaluation of an optimal witness operator that belongs to the minimal verification set of them for the given two-way (or one-way) QKD protocol. A positive expectation value of this optimal witness operator states that no secret key can be distilled from the available measurements results. We apply such analysis to several well-known single-photon QKD protocols under losses.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 11:18:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Curty", "Marcos", "" ], [ "Moroder", "Tobias", "" ] ]
quant-ph/0611152
Roberto Passante
R. Messina, R. Passante
Casimir-Polder force density between an atom and a conducting wall
5 pages
Phys. Rev. A 75, 042113 (2007)
10.1103/PhysRevA.75.042113
null
quant-ph
null
In this paper we calculate the Casimir-Polder force density (force per unit area acting on the elements of the surface) on a metallic plate placed in front of a neutral atom. To obtain the force density we use the quantum operator associated to the electromagnetic stress tensor. We explicitly show that the integral of this force density over the plate reproduces the total force acting on the plate. This result shows that, although the force is obtained as a sum of surface element-atom contributions, the stress-tensor method includes also nonadditive components of Casimir-Polder forces in the evaluation of the force acting on a macroscopic object.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 11:34:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Messina", "R.", "" ], [ "Passante", "R.", "" ] ]
quant-ph/0611153
Yibo Zhao
Yibo Zhao
Security verification for continuous variable quantum key distribution
withdrawed
null
null
null
quant-ph
null
This paper has been withdrawn by the author
[ { "version": "v1", "created": "Tue, 14 Nov 2006 12:08:27 GMT" }, { "version": "v2", "created": "Wed, 7 May 2008 12:38:05 GMT" } ]
2008-05-07T00:00:00
[ [ "Zhao", "Yibo", "" ] ]
quant-ph/0611154
Chen Xi
Xi Chen and Chun-Fang Li
Physical mechanism of superluminal traversal time: interference between multiple finite wave packets
9 pages, 3 figures, Some comments and suggestions are appreciated
EPL, 82 (2008) 30009
10.1209/0295-5075/82/30009
null
quant-ph
null
The mechanism of superluminal traversal time through a potential well or potential barrier is investigated from the viewpoint of interference between multiple finite wave packets, due to the multiple reflections inside the well or barrier. In the case of potential-well traveling that is classically allowed, each of the successively transmitted constituents is delayed by a subluminal time. When the thickness of the well is much smaller in comparision with a characteristic length of the incident wave packet, the reshaped wave packet in transmission maintains the profile of the incident wave packet. In the case of potential-barrier tunneling that is classically forbidden, though each of the successively transmitted constituents is delayed by a time that is independent of the barrier thickness, the interference between multiple transmitted constituents explains the barrier-thickness dependence of the traversal time for thin barriers and its barrier-thickness independence for thick barriers. This manifests the nature of Hartman effect.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 14:12:08 GMT" } ]
2009-03-30T00:00:00
[ [ "Chen", "Xi", "" ], [ "Li", "Chun-Fang", "" ] ]
quant-ph/0611155
Astrid Lambrecht
I. Pirozhenko, A. Lambrecht, and V. B. Svetovoy
Sample dependence of the Casimir forces
16 pages, 8 figures, uses iopart.sty
NewJ.Phys.8:238,2006
10.1088/1367-2630/8/10/238
null
quant-ph hep-th
null
We have analyzed available optical data for Au in the mid-infrared range which is important for a precise prediction of the Casimir force. Significant variation of the data demonstrates genuine sample dependence of the dielectric function. We demonstrate that the Casimir force is largely determined by the material properties in the low frequency domain and argue that therefore the precise values of the Drude parameters are crucial for an accurate evaluation of the force. These parameters can be estimated by two different methods, either by fitting real and imaginary parts of the dielectric function at low frequencies, or via a Kramers-Kronig analysis based on the imaginary part of the dielectric function in the extended frequency range. Both methods lead to very similar results. We show that the variation of the Casimir force calculated with the use of different optical data can be as large as 5% and at any rate cannot be ignored. To have a reliable prediction of the force with a precision of 1%, one has to measure the optical properties of metallic films used for the force measurement.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 15:31:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Pirozhenko", "I.", "" ], [ "Lambrecht", "A.", "" ], [ "Svetovoy", "V. B.", "" ] ]
quant-ph/0611156
Zeph Landau
Dorit Aharonov, Zeph Landau, Johann Makowsky
The quantum FFT can be classically simulated
12 pages, 3 figures. Added reference to similar results achieved independently by Yoran and Short (quant-ph/0611241)
null
null
null
quant-ph
null
In this note we describe a simple and intriguing observation: the quantum Fourier transform (QFT) over $Z_q$, which is considered the most ``quantum'' part of Shor's algorithm, can in fact be simulated efficiently by classical computers. More precisely, we observe that the QFT can be performed by a circuit of poly-logarithmic path-width, if the circuit is allowed to apply not only unitary gates but also general linear gates. Recalling the results of Markov and Shi [MaSh] and Jozsa [Jo] which provided classical simulations of such circuits in time exponential in the tree-width, this implies the result stated in the title. Classical simulations of the FFT are of course meaningless when applied to classical input strings on which their result is already known; Our observation might be interesting only in the context in which the QFT is used as a subroutine and applied to more interesting superpositions. We discuss the reasons why this idea seems to fail to provide an efficient classical simulation of the entire factoring algorithm. In the course of proving our observation, we provide two alternative proofs of the results of [MaSh,Jo] which we use. One proof is very similar in spirit to that of [MaSh] but is more visual, and is based on a graph parameter which we call the ``bubble width'', tightly related to the path- and tree-width. The other proof is based on connections to the Jones polynomial; It is very short, if one is willing to rely on several known results.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 18:31:23 GMT" }, { "version": "v2", "created": "Mon, 26 Mar 2007 00:18:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Aharonov", "Dorit", "" ], [ "Landau", "Zeph", "" ], [ "Makowsky", "Johann", "" ] ]
quant-ph/0611157
Animesh Datta
Animesh Datta and Guifre Vidal
On the role of entanglement and correlations in mixed-state quantum computation
null
Phys. Rev. A 75, 042310 (2007)
10.1103/PhysRevA.75.042310
null
quant-ph
null
In a quantum computation with pure states, the generation of large amounts of entanglement is known to be necessary for a speedup with respect to classical computations. However, examples of quantum computations with mixed states are known, such as the deterministic computation with one quantum qubit (DQC1) model [Knill and Laflamme, Phys. Rev. Lett. 81, 5672 (1998)], in which entanglement is at most marginally present, and yet a computational speedup is believed to occur. Correlations, and not entanglement, have been identified as a necessary ingredient for mixed-state quantum computation speedups. Here we show that correlations, as measured through the operator Schmidt rank, are indeed present in large amounts in the DQC1 circuit. This provides evidence for the preclusion of efficient classical simulation of DQC1 by means of a whole class of classical simulation algorithms, thereby reinforcing the conjecture that DQC1 leads to a genuine quantum computational speedup.
[ { "version": "v1", "created": "Tue, 14 Nov 2006 21:08:21 GMT" }, { "version": "v2", "created": "Thu, 12 Apr 2007 04:38:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Datta", "Animesh", "" ], [ "Vidal", "Guifre", "" ] ]