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quant-ph/0604058
A. M. Fedotov
A.M. Fedotov, Yu.E. Lozovik, N.B. Narozhny, and A.N. Petrosyan
Dynamical Casimir Effect in a one-dimensional uniformly contracting cavity
13 pages, 4 figures
Phys. Rev. A 74, 013806 (2006)
10.1103/PhysRevA.74.013806
null
quant-ph
null
We consider particle creation (the Dynamical Casimir effect) in a uniformly contracting ideal one-dimensional cavity non-perturbatively. The exact expression for the energy spectrum of created particles is obtained and its dependence on parameters of the problem is discussed. Unexpectedly, the number of created particles depends on the duration of the cavity contracting non-monotonously. This is explained by quantum interference of the events of particle creation which are taking place only at the moments of acceleration and deceleration of a boundary, while stable particle states exist (and thus no particles are created) at the time of contracting.
[ { "version": "v1", "created": "Sun, 9 Apr 2006 16:36:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Fedotov", "A. M.", "" ], [ "Lozovik", "Yu. E.", "" ], [ "Narozhny", "N. B.", "" ], [ "Petrosyan", "A. N.", "" ] ]
quant-ph/0604059
Bin Shang
Bin Shang
Query complexity for searching multiple marked states from an unsorted database
4 pages,4 figures,twocolumn
null
10.1088/0253-6102/48/2/013
null
quant-ph
null
An important and usual problem is to search all states we want from a database with a large number of states. In such, recall is vital. Grover's original quantum search algorithm has been generalized to the case of multiple solutions, but no one has calculated the query complexity in this case. We will use a generalized algorithm with higher precision to solve such a search problem that we should find all marked states and show that the practical query complexity increases with the number of marked states. In the end we will introduce an algorithm for the problem on a ``duality computer'' and show its advantage over other algorithms.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 11:39:37 GMT" } ]
2015-06-26T00:00:00
[ [ "Shang", "Bin", "" ] ]
quant-ph/0604060
Fu-Guo Deng
Fu-Guo Deng, Xi-Han Li, Pan Chen, Chun-Yan Li, and Hong-Yu Zhou
Fake-signal-and-cheating attack on quantum secret sharing
5 page, no figure
null
null
null
quant-ph
null
We present a fake-signal-and-cheating attack strategy for the dishonest agent in quantum secret sharing (QSS) to steal the information of the other agents' fully and freely. It is found that almost all the QSS protocols existing, such as the two famous QSS protocols, the Hillery-Bu$\check{z}$ek-Berthiaume [Phys. Rev. A \textbf{59}, 1829 (1999)] and the Karlsson-Koashi-Imoto [Phys. Rev. A \textbf{59}, 162 (1999)], can be eavesdropped freely if the process for the eavesdropping check is accomplished with the cooperation of the dishonest agent. He can sends a fake signal to the other agents after intercepting the original photons and storing them. His action can be hidden with entanglement swapping and cheating when the photons are chosen as the samples for checking eavesdropping. Finally, we present a possible improvement of these QSS protocols' security with decoy photons.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 11:10:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Deng", "Fu-Guo", "" ], [ "Li", "Xi-Han", "" ], [ "Chen", "Pan", "" ], [ "Li", "Chun-Yan", "" ], [ "Zhou", "Hong-Yu", "" ] ]
quant-ph/0604061
Harumichi Nishimura
Masahito Hayashi, Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Shigeru Yamashita
(4,1)-Quantum Random Access Coding Does Not Exist
8pages, 3figures
New J. Phys 8 (2006) 129
10.1088/1367-2630/8/8/129
null
quant-ph
null
An (n,1,p)-Quantum Random Access (QRA) coding, introduced by Ambainis, Nayak, Ta-shma and Vazirani in ACM Symp. on Theory of Computing 1999, is the following communication system: The sender which has n-bit information encodes his/her information into one qubit, which is sent to the receiver. The receiver can recover any one bit of the original n bits correctly with probability at least p, through a certain decoding process based on positive operator-valued measures. Actually, Ambainis et al. shows the existence of a (2,1,0.85)-QRA coding and also proves the impossibility of its classical counterpart. Chuang immediately extends it to a (3,1,0.79)-QRA coding and whether or not a (4,1,p)-QRA coding such that p > 1/2 exists has been open since then. This paper gives a negative answer to this open question.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 03:23:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Hayashi", "Masahito", "" ], [ "Iwama", "Kazuo", "" ], [ "Nishimura", "Harumichi", "" ], [ "Raymond", "Rudy", "" ], [ "Yamashita", "Shigeru", "" ] ]
quant-ph/0604062
Dafa Li
D. Li, X.Li, H. Huang, X. Li
Fixed-point Quantum Search for Different Phase Shifts
8 pages
Phys. Lett. A 362, 260-264 (2007)
10.1016/j.physleta.2006.10.030
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Grover recently presented the fixed-point search algorithm. In this letter, we study the fixed-point search algorithm obtained by replacing equal phase shifts of $\pi /3$ by different phase shifts.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 03:40:11 GMT" }, { "version": "v2", "created": "Tue, 18 Jul 2006 08:59:19 GMT" }, { "version": "v3", "created": "Fri, 18 Aug 2006 08:32:14 GMT" }, { "version": "v4", "created": "Mon, 21 Dec 2009 08:39:15 GMT" } ]
2012-05-08T00:00:00
[ [ "Li", "D.", "" ], [ "Li", "X.", "" ], [ "Huang", "H.", "" ], [ "Li", "X.", "" ] ]
quant-ph/0604063
S. Javad Akhtarshenas
S. Javad Akhtarshenas
Canonical Coset Parameterization and the Bures Metric of the Three-level Quantum Systems
12 pages, 1 figure, typos fixed, references added
J. Math. Phys., Vol. 48, 012102 (2007)
null
null
quant-ph
null
An explicit parameterization for the state space of an $n$-level density matrix is given. The parameterization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of two- and three-level quantum systems.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 05:45:08 GMT" }, { "version": "v2", "created": "Sun, 14 Jan 2007 16:20:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Akhtarshenas", "S. Javad", "" ] ]
quant-ph/0604064
Carlo Rovelli
Matteo Smerlak, Carlo Rovelli
Relational EPR
Revised, published version
Found.Phys.37:427-445,2007
10.1007/s10701-007-9105-0
null
quant-ph gr-qc physics.hist-ph
null
We study the EPR-type correlations from the perspective of the relational interpretation of quantum mechanics. We argue that these correlations do not entail any form of 'non-locality', when viewed in the context of this interpretation. The abandonment of strict Einstein realism implied by the relational stance permits to reconcile quantum mechanics, completeness, (operationally defined) separability, and locality.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 08:47:06 GMT" }, { "version": "v2", "created": "Thu, 8 Feb 2007 23:18:19 GMT" }, { "version": "v3", "created": "Sun, 4 Mar 2007 16:20:04 GMT" } ]
2013-05-07T00:00:00
[ [ "Smerlak", "Matteo", "" ], [ "Rovelli", "Carlo", "" ] ]
quant-ph/0604065
Ralf Schutzhold
Ralf Sch\"utzhold, Gernot Schaller, Dietrich Habs
Signatures of the Unruh effect from electrons accelerated by ultra-strong laser fields
4 pages, 1 figure
Phys.Rev.Lett. 97 (2006) 121302; Erratum-ibid. 97 (2006) 139902
10.1103/PhysRevLett.97.121302
null
quant-ph
null
We calculate the radiation resulting from the Unruh effect for strongly accelerated electrons and show that the photons are created in pairs whose polarizations are maximally entangled. Apart from the photon statistics, this quantum radiation can further be discriminated from the classical (Larmor) radiation via the different spectral and angular distributions. The signatures of the Unruh effect become significant if the external electromagnetic field accelerating the electrons is not too far below the Schwinger limit and might be observable with future facilities. Finally, the corrections due to the birefringent nature of the QED vacuum at such ultra-high fields are discussed. PACS: 04.62.+v, 12.20.Fv, 41.60.-m, 42.25.Lc.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 10:04:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Schützhold", "Ralf", "" ], [ "Schaller", "Gernot", "" ], [ "Habs", "Dietrich", "" ] ]
quant-ph/0604066
Farhan Saif
Farhan Saif
Classical and Quantum Chaos in Atom Optics
105 pages, 14 figures
Physics Reports 419, 207 (2005); Physics Reports 425, 369 (2006)
10.1016/j.physrep.2005.12.004
null
quant-ph nlin.CD
null
The interaction of an atom with an electromagnetic field is discussed in the presence of a time periodic external modulating force. It is explained that a control on atom by electromagnetic fields helps to design the quantum analog of classical optical systems. In these atom optical systems chaos may appear at the onset of external fields. The classical and quantum chaotic dynamics is discussed, in particular in an atom optics Fermi accelerator. It is found that the quantum dynamics exhibits dynamical localization and quantum recurrences.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 12:06:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Saif", "Farhan", "" ] ]
quant-ph/0604067
Dario Tamascelli
Diego de Falco and Dario Tamascelli
Speed and entropy of an interacting continuous time quantum walk
25 pages, 14 figures
J. Phys. A: Math. Gen. 39 (2006) 5873-5895
10.1088/0305-4470/39/20/016
null
quant-ph
null
We present some dynamic and entropic considerations about the evolution of a continuous time quantum walk implementing the clock of an autonomous machine. On a simple model, we study in quite explicit terms the Lindblad evolution of the clocked subsystem, relating the evolution of its entropy to the spreading of the wave packet of the clock. We explore possible ways of reducing the generation of entropy in the clocked subsystem, as it amounts to a deficit in the probability of finding the target state of the computation. We are thus lead to examine the benefits of abandoning some classical prejudice about how a clocking mechanism should operate.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 14:05:36 GMT" }, { "version": "v2", "created": "Thu, 27 Apr 2006 08:21:20 GMT" } ]
2009-11-13T00:00:00
[ [ "de Falco", "Diego", "" ], [ "Tamascelli", "Dario", "" ] ]
quant-ph/0604068
Haba Zbigniew
Z. Haba
Bounds on the heat kernel of the Schroedinger operator in a random electromagnetic field
some technical improvements, new references, to appear in Journ.Phys.A
null
10.1088/0305-4470/39/31/019
null
quant-ph math-ph math.MP
null
We obtain lower and upper bounds on the heat kernel and Green functions of the Schroedinger operator in a random Gaussian magnetic field and a fixed scalar potential. We apply stochastic Feynman-Kac representation, diamagnetic upper bounds and the Jensen inequality for the lower bound. We show that if the covariance of the electromagnetic (vector) potential is increasing at large distances then the lower bound is decreasing exponentially fast for large distances and a large time.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 14:29:34 GMT" }, { "version": "v2", "created": "Mon, 19 Jun 2006 12:01:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Haba", "Z.", "" ] ]
quant-ph/0604069
Elena Rufeil
E. Rufeil Fiori and H. M. Pastawski
Survival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse
4 pages, 3 figures. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press
null
10.1590/S0103-97332006000600012
null
quant-ph
null
The evolution of a surface excitation in a two dimentional model is analyzed. I) It starts quadratically up to a spreading time t_{S}. II) It follows an exponential behavior governed by a self-consistent Fermi Golden Rule. III) At longer times, the exponential is overrun by an inverse power law describing return processes governed by quantum diffusion. At this last transition time t_{R} a survival collapse becomes possible, bringing the survival probability down by several orders of magnitude. We identify this strongly destructive interference as an antiresonance in the time domain.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 18:37:22 GMT" } ]
2015-06-26T00:00:00
[ [ "Fiori", "E. Rufeil", "" ], [ "Pastawski", "H. M.", "" ] ]
quant-ph/0604070
Tzvetan Metodi
Darshan D. Thaker (1), Tzvetan S. Metodi (1), Andrew W. Cross (3), Isaac L. Chuang (3), Frederic T. Chong (2) ((1) University of California at Davis, (2) University of California at Santa Barbara, (3) Massachusetts Institute of Technology)
Quantum Memory Hierarchies: Efficient Designs to Match Available Parallelism in Quantum Computing
12 pages, 8 figures, To appear in the International Symposium on Computer Architecture (ISCA-33), Boston, MA, 2006
null
null
null
quant-ph
null
The assumption of maximum parallelism support for the successful realization of scalable quantum computers has led to homogeneous, ``sea-of-qubits'' architectures. The resulting architectures overcome the primary challenges of reliability and scalability at the cost of physically unacceptable system area. We find that by exploiting the natural serialization at both the application and the physical microarchitecture level of a quantum computer, we can reduce the area requirement while improving performance. In particular we present a scalable quantum architecture design that employs specialization of the system into memory and computational regions, each individually optimized to match hardware support to the available parallelism. Through careful application and system analysis, we find that our new architecture can yield up to a factor of thirteen savings in area due to specialization. In addition, by providing a memory hierarchy design for quantum computers, we can increase time performance by a factor of eight. This result brings us closer to the realization of a quantum processor that can solve meaningful problems.
[ { "version": "v1", "created": "Mon, 10 Apr 2006 20:36:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Thaker", "Darshan D.", "" ], [ "Metodi", "Tzvetan S.", "" ], [ "Cross", "Andrew W.", "" ], [ "Chuang", "Isaac L.", "" ], [ "Chong", "Frederic T.", "" ] ]
quant-ph/0604071
Ruixue Xu
Ping Han, Rui-Xue Xu, Baiqing Li, Jian Xu, Ping Cui, Yan Mo, YiJing Yan
Kinetics and thermodynamics of electron transfer in Debye solvents: An analytical and nonperturbative reduced density matrix theory
8 pages, 5 figures. J. Phys. Chem. B, accepted
null
null
null
quant-ph
null
A nonperturbative electron transfer rate theory is developed based on the reduced density matrix dynamics, which can be evaluated readily for the Debye solvent model without further approximation. Not only does it recover for reaction rates the celebrated Marcus' inversion and Kramers' turnover behaviors, the present theory also predicts for reaction thermodynamics, such as equilibrium Gibbs free-energy and entropy, some interesting solvent-dependent features that are calling for experimental verification. Moreover, a continued fraction Green's function formalism is also constructed, which can be used together with Dyson equation technique, for efficient evaluation of nonperturbative reduced density matrix dynamics.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 04:42:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Han", "Ping", "" ], [ "Xu", "Rui-Xue", "" ], [ "Li", "Baiqing", "" ], [ "Xu", "Jian", "" ], [ "Cui", "Ping", "" ], [ "Mo", "Yan", "" ], [ "Yan", "YiJing", "" ] ]
quant-ph/0604072
Gilles Brassard
Gilles Brassard
Brief History of Quantum Cryptography: A Personal Perspective
14 pages, no figures
Proceedings of IEEE Information Theory Workshop on Theory and Practice in Information Theoretic Security, Awaji Island, Japan, pp. 19-23, October 2005
10.1109/ITWTPI.2005.1543949
null
quant-ph
null
Quantum cryptography is the only approach to privacy ever proposed that allows two parties (who do not share a long secret key ahead of time) to communicate with provably perfect secrecy under the nose of an eavesdropper endowed with unlimited computational power and whose technology is limited by nothing but the fundamental laws of nature. This essay provides a personal historical perspective on the field. For the sake of liveliness, the style is purposely that of a spontaneous after-dinner speech.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 14:21:25 GMT" } ]
2016-11-18T00:00:00
[ [ "Brassard", "Gilles", "" ] ]
quant-ph/0604073
Ramazan Sever
Sameer M. Ikhdair and Ramazan Sever
Bound energy for the exponential-cosine-screened Coulomb potential
18 pages
J. Math. Chem. 41, 329(2007)
null
null
quant-ph
null
An alternative approximation scheme has been used in solving the Schrodinger equation for the exponential-cosine-screened Coulomb potential. The bound state energ\i es for various eigenstates and the corresponding wave functions are obtained analytically up to the second perturbation term.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 08:04:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0604074
Klaus Hornberger
Klaus Hornberger
Thermal limitation of far-field matter-wave interference
8 pages, 2 figures; published version
Phys. Rev. A 73, 052102 (2006)
10.1103/PhysRevA.73.052102
null
quant-ph
null
We assess the effect of the heat radiation emitted by mesoscopic particles on their ability to show interference in a double slit arrangement. The analysis is based on a stationary, phase-space based description of matter wave interference in the presence of momentum-exchange mediated decoherence.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 09:17:16 GMT" }, { "version": "v2", "created": "Wed, 10 May 2006 16:50:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Hornberger", "Klaus", "" ] ]
quant-ph/0604075
Mikhail Krivoruchenko
M. I. Krivoruchenko (Moscow, ITEP & Tubingen U.) and Amand Faessler (Tubingen U.)
Weyl's symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics
27 pages REVTeX, 6 EPS Figures. New references added. Accepted for publication to JMP
J.Math.Phys.48:052107,2007
10.1063/1.2735816
null
quant-ph cond-mat.stat-mech hep-th math-ph math.AP math.CA math.DS math.MP
null
The knowledge of quantum phase flow induced under the Weyl's association rule by the evolution of Heisenberg operators of canonical coordinates and momenta allows to find the evolution of symbols of generic Heisenberg operators. The quantum phase flow curves obey the quantum Hamilton's equations and play the role of characteristics. At any fixed level of accuracy of semiclassical expansion, quantum characteristics can be constructed by solving a coupled system of first-order ordinary differential equations for quantum trajectories and generalized Jacobi fields. Classical and quantum constraint systems are discussed. The phase-space analytic geometry based on the star-product operation can hardly be visualized. The statement "quantum trajectory belongs to a constraint submanifold" can be changed e.g. to the opposite by a unitary transformation. Some of relations among quantum objects in phase space are, however, left invariant by unitary transformations and support partly geometric relations of belonging and intersection. Quantum phase flow satisfies the star-composition law and preserves hamiltonian and constraint star-functions.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 11:26:56 GMT" }, { "version": "v2", "created": "Thu, 30 Nov 2006 11:07:56 GMT" }, { "version": "v3", "created": "Sat, 12 May 2007 10:58:07 GMT" } ]
2016-09-08T00:00:00
[ [ "Krivoruchenko", "M. I.", "", "Moscow, ITEP & Tubingen U." ], [ "Faessler", "Amand", "", "Tubingen U." ] ]
quant-ph/0604076
Daniela Dragoman
Daniela Dragoman
Evolution Law of Quantum Observables from Classical Hamiltonian in Non-Commutative Phase Space
10 pages, no figures
null
null
null
quant-ph
null
The evolution equations of quantum observables are derived from the classical Hamiltonian equations of motion with the only additional assumption that the phase space is non-commutative. The demonstration of the quantum evolution laws is quite general; it does not rely on any assumption on the operator nature of x and p and is independent of the quantum mechanical formalism.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 10:49:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Dragoman", "Daniela", "" ] ]
quant-ph/0604077
Zhaohui Wei
Zhaohui Wei and Mingsheng Ying
Quantum adiabatic evolutions that can't be used to design efficient algorithms
4 pages, 1 figure
null
null
null
quant-ph
null
Quantum adiabatic computation is a novel paradigm for the design of quantum algorithms, which is usually used to find the minimum of a classical function. In this paper, we show that if the initial hamiltonian of a quantum adiabatic evolution with a interpolation path is too simple, the minimal gap between the ground state and the first excited state of this quantum adiabatic evolution is an inverse exponential distance. Thus quantum adiabatic evolutions of this kind can't be used to design efficient quantum algorithms. Similarly, we show that a quantum adiabatic evolution with a simple final hamiltonian also has a long running time, which suggests that some functions can't be minimized efficiently by any quantum adiabatic evolution with a interpolation path.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 13:30:27 GMT" }, { "version": "v2", "created": "Wed, 12 Apr 2006 15:55:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Wei", "Zhaohui", "" ], [ "Ying", "Mingsheng", "" ] ]
quant-ph/0604078
Ramazan Sever
Sameer M. Ikhdair and Ramazan Sever
Bound states of a more general exponential screened Coulomb potential
14 pages
J. Math. Chem. 41, 343(2007)
null
null
quant-ph
null
An alternative approximation scheme has been used in solving the Schrodinger equation to the more general case of exponential screened Coulomb potential, V(r)=-(a/r)\[1+(1+br)e^{-2br}]. The bound state energies of the 1s, $2s, and 3s-states, together with the ground state wave function are obtained analytically upto the second perturbation term.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 13:35:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0604079
Simon Kochen
John Conway, Simon Kochen
The Free Will Theorem
31 pages, 6figures
null
10.1007/s10701-006-9068-6
null
quant-ph
null
On the basis of three physical axioms, we prove that if the choice of a particular type of spin 1 experiment is not a function of the information accessible to the experimenters, then its outcome is equally not a function of the information accessible to the particles. We show that this result is robust, and deduce that neither hidden variable theories nor mechanisms of the GRW type for wave function collapse can be made relativistic. We also establish the consistency of our axioms and discuss the philosophical implications.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 14:06:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Conway", "John", "" ], [ "Kochen", "Simon", "" ] ]
quant-ph/0604080
Doyeol (David) Ahn
Doyeol Ahn
Effects of Hawking radiation and Wigner rotation on fermion entanglement
version 3
null
null
null
quant-ph
null
In this work, we report that the Hawking radiation effect on fermions is fundamentally different from the case of scalar particles. Intrinsic properties of fermions (exclusion principle and spin) affect strongly the interaction of fermions with both Hawking radiation and metric of the spacetime. In particular we have found the following: first, while the fermion vacuum state seen by the Rindler observer is an entangled state in which the right and left Rindler wedge states appear in correlated pairs as in the case of the scalar particles, the entanglement disappears in the excited state due to the exclusion principle; second, the spin of the fermion experiences the Winger rotation under a uniform acceleration; and third, the quantum information of fermions encoded in spin (entangled state is composed of different spin states but with the same mode function) is dissipated not by the Hawking radiation but by the Wigner rotation as the pair approaches the event horizon.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 16:57:17 GMT" }, { "version": "v2", "created": "Thu, 7 Sep 2006 04:27:23 GMT" }, { "version": "v3", "created": "Wed, 27 Sep 2006 04:19:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Ahn", "Doyeol", "" ] ]
quant-ph/0604081
Stephan Goetzinger
S. Gotzinger, L. de S. Menezes, A. Mazzei, O. Benson, S. Kuhn, V. Sandoghdar
Controlled photon transfer between two individual nanoemitters via shared high-Q modes of a microsphere resonator
accepted for publication in Nano Letters
null
10.1021/nl060306p
null
quant-ph
null
We realize controlled cavity-mediated photon transfer between two single nanoparticles over a distance of several tens of micrometers. First, we show how a single nanoscopic emitter attached to a near-field probe can be coupled to high-Q whispering-gallery modes of a silica microsphere at will. Then we demonstrate transfer of energy between this and a second nanoparticle deposited on the sphere surface. We estimate the photon transfer efficiency to be about six orders of magnitude higher than that via free space propagation at comparable separations.
[ { "version": "v1", "created": "Tue, 11 Apr 2006 23:37:54 GMT" } ]
2015-06-26T00:00:00
[ [ "Gotzinger", "S.", "" ], [ "Menezes", "L. de S.", "" ], [ "Mazzei", "A.", "" ], [ "Benson", "O.", "" ], [ "Kuhn", "S.", "" ], [ "Sandoghdar", "V.", "" ] ]
quant-ph/0604082
Angel S. Sanz
A. S. Sanz, H. Han, and P. Brumer
Aspects of quantum coherence in the optical Bloch equations
18 pages, 6 figures; to appear in J Chem Phys
J. Chem. Phys. 124, 214106 (2006)
10.1063/1.2200703
null
quant-ph
null
Aspects of coherence and decoherence are analyzed within the optical Bloch equations. By rewriting the analytic solution in an alternate form, we are able to emphasize a number of unusual features: (a) despite the Markovian nature of the bath, coherence at long times can be retained; (b) the long-time asymptotic degree of coherence in the system is intertwined with the asymptotic difference in level populations; (c) the traditional population-relaxation and decoherence times, $T_1$ and $T_2$, lose their meaning when the system is in the presence of an external field, and are replaced by more general overall timescales; (d) increasing the field strength, quantified by the Rabi frequency, $\Omega$, increases the rate of decoherence rather than reducing it, as one might expect; and (e) maximum asymptotic coherence is reached when the system parameters satisfy $\Omega^2 = 1/(T_1 T_2)$.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 08:08:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Sanz", "A. S.", "" ], [ "Han", "H.", "" ], [ "Brumer", "P.", "" ] ]
quant-ph/0604083
Zeqian Chen
Zeqian Chen
Wave equations for determining energy-level gaps of quantum systems
3 pages
null
null
null
quant-ph
null
An differential equation for wave functions is proposed, which is equivalent to Schr\"{o}dinger's wave equation and can be used to determine energy-level gaps of quantum systems. Contrary to Schr\"{o}dinger's wave equation, this equation is on `bipartite' wave functions. It is shown that those `bipartite' wave functions satisfy all the basic properties of Schr\"{o}dinger's wave functions. Further, it is argued that `bipartite' wave functions can present a mathematical expression of wave-particle duality. This provides an alternative approach to the mathematical formalism of quantum mechanics.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 08:09:20 GMT" }, { "version": "v2", "created": "Sun, 16 Apr 2006 07:46:43 GMT" }, { "version": "v3", "created": "Sun, 10 Sep 2006 02:56:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Chen", "Zeqian", "" ] ]
quant-ph/0604084
Armando Perez
C. Navarrete-Benlloch, A. Perez and Eugenio Roldan
Nonlinear optical Galton board
8 pages, 8 figures
Physical Review A 75, 062333 (2007)
10.1103/PhysRevA.75.062333
null
quant-ph
null
We generalize the concept of optical Galton board (OGB), first proposed by Bouwmeester et al. {[}Phys. Rev. A \textbf{61}, 013410 (2000)], by introducing the possibility of nonlinear self--phase modulation on the wavefunction during the walker evolution. If the original Galton board illustrates classical diffusion, the OGB, which can be understood as a grid of Landau--Zener crossings, illustrates the influence of interference on diffusion, and is closely connected with the quantum walk. Our nonlinear generalization of the OGB shows new phenomena, the most striking of which is the formation of non-dispersive pulses in the field distribution (soliton--like structures). These exhibit a variety of dynamical behaviors, including ballistic motion, dynamical localization, non--elastic collisions and chaotic behavior, in the sense that the dynamics is very sensitive to the nonlinearity strength.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 08:27:38 GMT" }, { "version": "v2", "created": "Mon, 9 Jul 2007 15:15:35 GMT" } ]
2007-07-31T00:00:00
[ [ "Navarrete-Benlloch", "C.", "" ], [ "Perez", "A.", "" ], [ "Roldan", "Eugenio", "" ] ]
quant-ph/0604085
Daowen Qiu
Lvzhou Li, Daowen Qiu
A Polynomial-Time Algorithm for the Equivalence between Quantum Sequential Machines
22 pages; some results have been added, while some proofs have been abbreviated
null
null
null
quant-ph
null
Quantum sequential machines (QSMs) are a quantum version of stochastic sequential machines (SSMs). Recently, we showed that two QSMs M_1 and M_2 with n_1 and n_2 states, respectively, are equivalent iff they are (n_1+n_2)^2--equivalent (Theoretical Computer Science 358 (2006) 65-74). However, using this result to check the equivalence likely needs exponential expected time. In this paper, we consider the time complexity of deciding the equivalence between QSMs and related problems. The main results are as follows: (1) We present a polynomial-time algorithm for deciding the equivalence between QSMs, and, if two QSMs are not equivalent, this algorithm will produce an input-output pair with length not more than (n_1+n_2)^2. (2) We improve the bound for the equivalence between QSMs from (n_1+n_2)^2 to n_1^2+n_2^2-1, by employing Moore and Crutchfield's method (Theoretical Computer Science 237 (2000) 275-306). (3) We give that two MO-1QFAs with n_1 and n_2 states, respectively, are equivalent iff they are (n_1+n_2)^2--equivalent, and further obtain a polynomial-time algorithm for deciding the equivalence between two MO-1QFAs. (4) We provide a counterexample showing that Koshiba's method to solve the problem of deciding the equivalence between MM-1QFAs may be not valid, and thus the problem is left open again.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 10:08:18 GMT" }, { "version": "v2", "created": "Mon, 30 Oct 2006 09:02:05 GMT" } ]
2016-09-08T00:00:00
[ [ "Li", "Lvzhou", "" ], [ "Qiu", "Daowen", "" ] ]
quant-ph/0604086
Hiroo Azuma
Hiroo Azuma
Quantum computation with Kerr-nonlinear photonic crystals
20 pages, Latex2e, 4 eps figures; v2: minor corrections; v3: a new section added; v4: Sec. 4 is totally rewritten; v5: one section is removed; v6: minor corrections
J. Phys. D: Appl. Phys. 41 (2008) 025102
10.1088/0022-3727/41/2/025102
null
quant-ph
null
In this paper, we consider a method for implementing a quantum logic gate with photons whose wave function propagates in a one-dimensional Kerr-nonlinear photonic crystal. The photonic crystal causes the incident photons to undergo Bragg reflection by its periodic structure of dielectric materials and forms the photonic band structure, namely, the light dispersion relation. This dispersion relation reduces the group velocity of the wave function of the photons, so that it enhances nonlinear interaction of the photons. (Because variation of the group velocity against the wave vector is very steep, we have to tune up the wavelength of injected photons precisely, however.) If the photonic crystal includes layers of a Kerr medium, we can rotate the phase of the wave function of the incident photons by a large angle efficiently. We show that we can construct the nonlinear sign-shift (NS) gate proposed by Knill, Laflamme, and Milburn (KLM) by this method. Thus, we can construct the conditional sign-flip gate for two qubits, which is crucial for quantum computation. Our NS gate works with probability unity in principle while KLM's original one is a nondeterministic gate conditioned on the detection of an auxiliary photon.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 14:42:45 GMT" }, { "version": "v2", "created": "Thu, 13 Apr 2006 02:37:06 GMT" }, { "version": "v3", "created": "Wed, 12 Jul 2006 06:06:17 GMT" }, { "version": "v4", "created": "Sat, 2 Sep 2006 04:13:18 GMT" }, { "version": "v5", "created": "Sat, 24 Nov 2007 11:37:18 GMT" }, { "version": "v6", "created": "Sat, 22 Dec 2007 00:22:40 GMT" } ]
2011-11-09T00:00:00
[ [ "Azuma", "Hiroo", "" ] ]
quant-ph/0604087
Daniela Dragoman
Daniela Dragoman
On the Quantum-Classical Character of the Quantum Wavefunction of Material Particles
21 pages, no figures
null
null
null
quant-ph
null
We show that the quantum wavefunction, interpreted as the probability density of finding a single non-localized quantum particle, which evolves according to classical laws of motion, is an intermediate description of a material quantum particle between the quantum and classical realms. Accordingly, classical and quantum mechanics should not be treated separately, a unified description in terms of the Wigner distribution function being possible. Although defined on classical phase space coordinates, the Wigner distribution function accommodates the nonlocalization property of quantum systems, and leads to both the Schrodinger equation for the quantum wavefunction and to the definition of position and momentum operators.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 15:56:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Dragoman", "Daniela", "" ] ]
quant-ph/0604088
Tam\'as V\'ertesi
T. V\'ertesi
Relative information encoded in the degree of entanglement to discriminate bipartite states
10 pages, no figures. Accepted in Physics Letters A
null
10.1016/j.physleta.2006.04.031
null
quant-ph
null
It has been recently shown (Bartlett et al. 2003) that information encoded into relative degrees of freedom enables communication without a common reference frame using entangled bipartite states. In this case the relative information stored in the two-qubit system is shared between the polarization degrees of freedom and the degree of entanglement. In the present article a specific state discrimination problem is envisioned where the degree of entanglement carries the only relative parameter, so that certain maximally entangled states are perfectly distinguishable, while discrimination of product states is impossible.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 17:37:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Vértesi", "T.", "" ] ]
quant-ph/0604089
J. Maurice Rojas
J. Maurice Rojas
A Number Theoretic Interpolation Between Quantum and Classical Complexity Classes
14 pages, no figures
null
null
null
quant-ph math.NT
null
We reveal a natural algebraic problem whose complexity appears to interpolate between the well-known complexity classes BQP and NP: (*) Decide whether a univariate polynomial with exactly m monomial terms has a p-adic rational root. In particular, we show that while (*) is doable in quantum randomized polynomial time when m=2 (and no classical randomized polynomial time algorithm is known), (*) is nearly NP-hard for general m: Under a plausible hypothesis involving primes in arithmetic progression (implied by the Generalized Riemann Hypothesis for certain cyclotomic fields), a randomized polynomial time algorithm for (*) would imply the widely disbelieved inclusion NP \subseteq BPP. This type of quantum/classical interpolation phenomenon appears to new.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 16:40:38 GMT" }, { "version": "v2", "created": "Wed, 12 Apr 2006 20:03:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Rojas", "J. Maurice", "" ] ]
quant-ph/0604090
Barbara M. Terhal
Krysta M. Svore, David P. DiVincenzo and Barbara M. Terhal
Noise Threshold for a Fault-Tolerant Two-Dimensional Lattice Architecture
20 pages, 11 figures. v2 has some small changes and a link to a website with supplementary material. v3: Corrects earlier error in fault tolerant T gate construction. Describes different strategy for non-Clifford fault tolerance
Quant. Inf. Comp. Vol. 7, No. 4, pp. 297-318 (2007)
null
null
quant-ph
null
We consider a model of quantum computation in which the set of operations is limited to nearest-neighbor interactions on a 2D lattice. We model movement of qubits with noisy SWAP operations. For this architecture we design a fault-tolerant coding scheme using the concatenated [[7,1,3]] Steane code. Our scheme is potentially applicable to ion-trap and solid-state quantum technologies. We calculate a lower bound on the noise threshold for our local model using a detailed failure probability analysis. We obtain a threshold of 1.85 x 10^-5 for the local setting, where memory error rates are one-tenth of the failure rates of gates, measurement, and preparation steps. For the analogous nonlocal setting, we obtain a noise threshold of 3.61 x 10^-5. Our results thus show that the additional SWAP operations required to move qubits in the local model affect the noise threshold only moderately.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 18:54:04 GMT" }, { "version": "v2", "created": "Fri, 26 May 2006 14:22:00 GMT" }, { "version": "v3", "created": "Fri, 3 Nov 2006 19:04:50 GMT" } ]
2008-10-17T00:00:00
[ [ "Svore", "Krysta M.", "" ], [ "DiVincenzo", "David P.", "" ], [ "Terhal", "Barbara M.", "" ] ]
quant-ph/0604091
Denes Petz
Anna Jencova and Denes Petz
Sufficiency in quantum statistical inference. A survey with examples
23 pages
J. Infinite Dimensional Analysis and Quantum Probability, 9(2006), 331-352.
null
null
quant-ph
null
This paper attempts to give an overview about sufficiency in the setting of quantum statistics. The basic concepts are treated paralelly to the the measure theoretic case. It turns out that several classical examples and results have a non-commutative analogue. Some of the results are presented without proof (but with exact references) and the presentation is intended to be self-contained. The main examples discussed in the paper are related the Weyl algebra and to the exponential family of states. The characterization of sufficiency in terms of quantum Fisher information is a new result.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 20:12:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Jencova", "Anna", "" ], [ "Petz", "Denes", "" ] ]
quant-ph/0604092
Henrique Boschi-Filho
P. F. Borges, H. Boschi-Filho and A. N. Vaidya
Scattering and Bound State Green's Functions on a Plane via so(2,1) Lie Algebra
21 Latex pages. Typos corrected. Results unchanged. Version to appear in JMP
J.Math.Phys. 47 (2006) 112103
10.1063/1.2363259
null
quant-ph hep-th
null
We calculate the Green's functions for the particle-vortex system, for two anyons on a plane with and without a harmonic regulator and in a uniform magnetic field. These Green's functions which describe scattering or bound states (depending on the specific potential in each case) are obtained exactly using an algebraic method related to the SO(2,1) Lie group. From these Green's functions we obtain the corresponding wave functions and for the bound states we also find the energy spectra.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 20:24:24 GMT" }, { "version": "v2", "created": "Fri, 11 Aug 2006 19:35:12 GMT" }, { "version": "v3", "created": "Tue, 17 Oct 2006 18:42:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Borges", "P. F.", "" ], [ "Boschi-Filho", "H.", "" ], [ "Vaidya", "A. N.", "" ] ]
quant-ph/0604093
Yuri Golubev
T.Golubeva and Yu.Golubev (V. A. Fock Physics Institute, St.-Petersburg, Russia)
Induced photon statistics in three-level lasers
13 pages, 2 figures, RevTeX4. Submitted to Phys. Rev. A
Physical Review A 75, 023815 ?2007?
10.1103/PhysRevA.75.023815
null
quant-ph
null
The statistical properties of three-level lasing are investigated theoretically. It is assumed that the three-level medium is coherently excited by another laser with an arbitrary photon statistics. It is proved that, under the specific conditions, the photon statistics of the three-level laser duplicate the photon statistics of the exciting laser. We call this phenomenon an induced photon statistics. We suggest to use this to analyze the statistical properties of a laser involved into a feedback process. Applying this laser for the coherent pump of a three-level laser, we can follow its photon statistics by means of direct following the three-level generation. In accordance with [H. M. Wiseman and G. J. Milburn, Phys. Rev. A, 49, 1350-1366 (1994)], we conclude that the feedback in itself is unable to generate the non-classical manifestation in the laser field.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 21:05:09 GMT" } ]
2015-06-26T00:00:00
[ [ "Golubeva", "T.", "", "V. A. Fock Physics Institute,\n St.-Petersburg, Russia" ], [ "Golubev", "Yu.", "", "V. A. Fock Physics Institute,\n St.-Petersburg, Russia" ] ]
quant-ph/0604094
Xiongfeng Ma
Xiongfeng Ma, Chi-Hang Fred Fung, Fr\'ed\'eric Dupuis, Kai Chen, Kiyoshi Tamaki and Hoi-Kwong Lo
Decoy state quantum key distribution with two-way classical post-processing
null
PHYSICAL REVIEW A 74, 032330 (2006)
10.1103/PhysRevA.74.032330
null
quant-ph
null
Decoy states have recently been proposed as a useful method for substantially improving the performance of quantum key distribution protocols when a coherent state source is used. Previously, data post-processing schemes based on one-way classical communications were considered for use with decoy states. In this paper, we develop two data post-processing schemes for the decoy-state method using two-way classical communications. Our numerical simulation (using parameters from a specific QKD experiment as an example) results show that our scheme is able to extend the maximal secure distance from 142km (using only one-way classical communications with decoy states) to 181km. The second scheme is able to achieve a 10% greater key generation rate in the whole regime of distances.
[ { "version": "v1", "created": "Wed, 12 Apr 2006 21:41:38 GMT" } ]
2016-08-16T00:00:00
[ [ "Ma", "Xiongfeng", "" ], [ "Fung", "Chi-Hang Fred", "" ], [ "Dupuis", "Frédéric", "" ], [ "Chen", "Kai", "" ], [ "Tamaki", "Kiyoshi", "" ], [ "Lo", "Hoi-Kwong", "" ] ]
quant-ph/0604095
Ramazan Sever
Sameer M. Ikhdair and Ramazan Sever
Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials
12 pages
null
null
null
quant-ph
null
The analytical solutions of the N-dimensional Schrodinger equation with position-dependent mass for a general class of central potentials is obtained via the series expansion method. The position-dependent mass is expanded in series about origin. As a special case, the analytical bound-state series solutions and the recursion relation of the linear-plus-Coulomb (Cornell) potential with the decaying position-dependent mass m=m_{0}e^{-\lambda r} are also found.
[ { "version": "v1", "created": "Thu, 13 Apr 2006 08:22:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0604096
Gen Kimura
Gen Kimura, Hajime Tanaka and Masanao Ozawa
Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels
REVTeX4, 4 pages
Phys. Rev. A 73, 050301(R) (2006).
10.1103/PhysRevA.73.050301
null
quant-ph
null
The Mean King's problem with mutually unbiased bases is reconsidered for arbitrary d-level systems. Hayashi, Horibe and Hashimoto [Phys. Rev. A 71, 052331 (2005)] related the problem to the existence of a maximal set of d-1 mutually orthogonal Latin squares, in their restricted setting that allows only measurements of projection-valued measures. However, we then cannot find a solution to the problem when e.g., d=6 or d=10. In contrast to their result, we show that the King's problem always has a solution for arbitrary levels if we also allow positive operator-valued measures. In constructing the solution, we use orthogonal arrays in combinatorial design theory.
[ { "version": "v1", "created": "Thu, 13 Apr 2006 10:03:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Kimura", "Gen", "" ], [ "Tanaka", "Hajime", "" ], [ "Ozawa", "Masanao", "" ] ]
quant-ph/0604097
Yong Li
Yong Li, Z. D. Wang, and C. P. Sun
Quantum criticality in a generalized Dicke model
6 pages, 3 figures
Phys. Rev. A 74, 023815 (2006)
10.1103/PhysRevA.74.023815
null
quant-ph
null
We employ a generalized Dicke model to study theoretically the quantum criticality of an extended two-level atomic ensemble interacting with a single-mode quantized light field. Effective Hamiltonians are derived and diagonalized to investigate numerically their eigenfrequencies for different quantum phases in the system. Based on the analysis of the eigenfrequencies, an intriguing quantum-phase transition from a normal phase to a superradiant phase is revealed clearly, which is quite different from that observed with a standard Dicke model.
[ { "version": "v1", "created": "Thu, 13 Apr 2006 12:47:03 GMT" }, { "version": "v2", "created": "Mon, 1 Oct 2007 11:39:31 GMT" } ]
2007-10-01T00:00:00
[ [ "Li", "Yong", "" ], [ "Wang", "Z. D.", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0604098
Vahid Karimipour
F. Ghahhari, V. Karimipour and R. Shahrokhshahi
Dynamics of entanglement of bosonic modes on symmetric graphs
14 pages, 11 figures, Accepted for publication in Physics Letters A
Phys. Lett. A 363 (2007) 271-276.
10.1016/j.physleta.2006.11.013
null
quant-ph
null
We investigate the dynamics of an initially disentangled Gaussian state on a general finite symmetric graph. As concrete examples we obtain properties of this dynamics on mean field graphs of arbitrary sizes. In the same way that chains can be used for transmitting entanglement by their natural dynamics, these graphs can be used to store entanglement. We also consider two kinds of regular polyhedron which show interesting features of entanglement sharing.
[ { "version": "v1", "created": "Thu, 13 Apr 2006 13:30:48 GMT" }, { "version": "v2", "created": "Thu, 23 Nov 2006 04:32:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghahhari", "F.", "" ], [ "Karimipour", "V.", "" ], [ "Shahrokhshahi", "R.", "" ] ]
quant-ph/0604099
Z. D. Wang
Xiaoguang Wang and Z. D. Wang
Thermal Entanglement in Ferrimagnetic Chains
4 pages, 3 figures
Phys. Rev. A73, 064302(2006)
10.1103/PhysRevA.73.064302
null
quant-ph
null
A formula to evaluate the entanglement in an one-dimensional ferrimagnetic system is derived. Based on the formula, we find that the thermal entanglement in a small size spin-1/2 and spin-s ferrimagnetic chain is rather robust against temperature, and the threshold temperature may be arbitrarily high when s is sufficiently large. This intriguing result answers unambiguously a fundamental question: ``can entanglement and quantum behavior in physical systems survive at arbitrary high temperatures?"
[ { "version": "v1", "created": "Thu, 13 Apr 2006 14:27:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Xiaoguang", "" ], [ "Wang", "Z. D.", "" ] ]
quant-ph/0604100
Efstratios Manousakis
Efstratios Manousakis
Founding quantum theory on the basis of consciousness
41 pages, 3 figures. To be published in Foundations of Physics, Vol 36 (6) (June 2006), published online at http://dx.doi.org/10.1007/s10701-006-9049-9
Found. Phys. 36(6), 795 (2006)
10.1007/s10701-006-9049-9
null
quant-ph
null
In the present work, quantum theory is founded on the framework of consciousness, in contrast to earlier suggestions that consciousness might be understood starting from quantum theory. The notion of streams of consciousness, usually restricted to conscious beings, is extended to the notion of a Universal/Global stream of conscious flow of ordered events. The streams of conscious events which we experience constitute sub-streams of the Universal stream. Our postulated ontological character of consciousness also consists of an operator which acts on a state of potential consciousness to create or modify the likelihoods for later events to occur and become part of the Universal conscious flow. A generalized process of measurement-perception is introduced, where the operation of consciousness brings into existence, from a state of potentiality, the event in consciousness. This is mathematically represented by (a) an operator acting on the state of potential-consciousness before an actual event arises in consciousness and (b) the reflecting of the result of this operation back onto the state of potential-consciousness for comparison in order for the event to arise in consciousness. Beginning from our postulated ontology that consciousness is primary and from the most elementary conscious contents, such as perception of periodic change and motion, quantum theory follows naturally as the description of the conscious experience.
[ { "version": "v1", "created": "Thu, 13 Apr 2006 14:57:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Manousakis", "Efstratios", "" ] ]
quant-ph/0604101
Kimikazu Kato
Kimikazu Kato, Mayumi Oto, Hiroshi Imai and Keiko Imai
Voronoi Diagrams for Pure 1-qubit Quantum States
7 pages, 2 figures. Talk presented at "International Symposium on Voronoi Diagrams in Science and Engineering 2005"
null
null
null
quant-ph
null
1-qubit quantum states form a space called the three-dimensional Bloch ball. To compute Holevo capacity, Voronoi diagrams in the Bloch ball with respect to the quantum divergence have been used as a powerful tool. These diagrams basically treat mixed quantum states corresponding to points in the interior of the Bloch ball. Due to the existence of logarithm in the quantum divergence, the diagrams are not defined on pure quantum states corresponding to points on the two-dimensional sphere. This paper first defines the Voronoi diagrams for pure quantum states on the Bloch sphere by the Fubini-Study distance and the Bures distance. We also introduce other Voronoi diagrams on the sphere obtained by taking a limit of Voronoi diagrams for mixed quantum states by the quantum divergences in the Bloch ball. These diagrams are shown to be equivalent to the ordinary Voronoi diagram on the sphere.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 02:00:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Kato", "Kimikazu", "" ], [ "Oto", "Mayumi", "" ], [ "Imai", "Hiroshi", "" ], [ "Imai", "Keiko", "" ] ]
quant-ph/0604102
Andreas Klappenecker
Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli
On Quantum and Classical BCH Codes
17 pages, LaTeX
null
null
null
quant-ph
null
Classical BCH codes that contain their (Euclidean or Hermitian) dual codes can be used to construct quantum stabilizer codes; this correspondence studies the properties of such codes. It is shown that a BCH code of length n can contain its dual code only if its designed distance d=O(sqrt(n)), and the converse is proved in the case of narrow-sense codes. Furthermore, the dimension of narrow-sense BCH codes with small design distance is completely determined, and - consequently - the bounds on their minimum distance are improved. These results make it possible to determine the parameters of quantum BCH codes in terms of their design parameters.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 05:09:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Aly", "Salah A.", "" ], [ "Klappenecker", "Andreas", "" ], [ "Sarvepalli", "Pradeep Kiran", "" ] ]
quant-ph/0604103
Fu Jian
Jian Fu
A novel interferometer to beat the standard quantum limit using optical transverse modes in multimode waveguide
9 pages, 3 figures,some errors corrected
null
null
null
quant-ph
null
We propose a novel interferometer by using optical transverse modes in multimode waveguide that can beat the standard quantum limit. In the scheme, the classical simulation of $N$-partical quantum entangled states is generated by using $N$ independent classical fields and linear optical elements. Similar to the quantum-enhanced measurements, the classical simulation can also achieve $\sqrt{N}$ enhancement over the precision of the measurement $N$ times for independent fields. Due to only using classical fields and linear optical elements, the scheme can be realized much more easily.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 05:50:18 GMT" }, { "version": "v2", "created": "Tue, 2 May 2006 08:45:26 GMT" }, { "version": "v3", "created": "Wed, 3 May 2006 06:52:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Fu", "Jian", "" ] ]
quant-ph/0604104
Manas Patra
Manas Patra
Projective invariant measures and approximation of quantum circuits
17 pages
null
null
null
quant-ph
null
In this paper we introduce a projective invarinat measure on the special unitary group. It is directly related to transition probabilities. It has some interesting connection with convex geometry. Applications to approximation of quantum circuits and entanglement are given.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 07:22:03 GMT" }, { "version": "v2", "created": "Sat, 15 Apr 2006 05:31:58 GMT" }, { "version": "v3", "created": "Tue, 18 Apr 2006 15:02:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Patra", "Manas", "" ] ]
quant-ph/0604105
Manas Patra
Manas Patra
Estimating Information Gain in Measurements in Suboptimal Bases for Quantum State Tomography
13 pages
null
null
null
quant-ph
null
It is known that mutually unbiased bases, whenever they exist, are optimal in an information theoretic sense for the determination of unknown state of a quantum ensemble. These bases may not exist in most dimensions and some suboptimal choices have to be made. The present paper deals with estimates of the information loss in suboptimal choice of bases. The information is calculated directly in terms of transition probabilities. I give estimates for the information content of measurement in some approximate MUBs proposed recently.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 07:31:47 GMT" }, { "version": "v2", "created": "Tue, 18 Apr 2006 15:09:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Patra", "Manas", "" ] ]
quant-ph/0604106
Omar Mustafa
Omar Mustafa and S. Habib Mazharimousavi
$\eta$-weak-Pseudo-Hermiticity generators and exact solvability
8 pages, no figures, to appear in Phys. Lett. A
Phys.Lett. A357 (2006) 295-297
10.1016/j.physleta.2006.06.027
null
quant-ph
null
Exact solvability of some non-Hermitian $\eta$-weak-pseudo-Hermitian Hamiltonians is explored as a byproduct of $\eta$-weak-pseudo-Hermiticity generators. A class of V_{eff}(x)=V(x)+iW(x) potentials is considered, where the imaginary part W(x) is used as an $\eta$-weak-pseudo-Hermiticity generator to obtain exactly solvable $\eta$-weak-pseudo-Hermitian Hamiltonian models.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 09:35:36 GMT" }, { "version": "v2", "created": "Sun, 4 Jun 2006 11:33:04 GMT" }, { "version": "v3", "created": "Mon, 12 Jun 2006 12:02:54 GMT" }, { "version": "v4", "created": "Tue, 13 Jun 2006 09:43:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Mustafa", "Omar", "" ], [ "Mazharimousavi", "S. Habib", "" ] ]
quant-ph/0604107
Graeme Smith
Graeme Smith and John A. Smolin
Degenerate Quantum Codes for Pauli Channels
Introduction changed to give more motivation and background. Figure 1 replaced
Phys. Rev. Lett. 98, 030501 (2007)
10.1103/PhysRevLett.98.030501
null
quant-ph
null
A striking feature of quantum error correcting codes is that they can sometimes be used to correct more errors than they can uniquely identify. Such degenerate codes have long been known, but have remained poorly understood. We provide a heuristic for designing degenerate quantum codes for high noise rates, which is applied to generate codes that can be used to communicate over almost any Pauli channel at rates that are impossible for a nondegenerate code. The gap between nondegenerate and degenerate code performance is quite large, in contrast to the tiny magnitude of the only previous demonstration of this effect. We also identify a channel for which none of our codes outperform the best nondegenerate code and show that it is nevertheless quite unlike any channel for which nondegenerate codes are known to be optimal.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 20:05:58 GMT" }, { "version": "v2", "created": "Sat, 23 Dec 2006 15:57:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Smith", "Graeme", "" ], [ "Smolin", "John A.", "" ] ]
quant-ph/0604108
Hong Shen
Xiao-Feng Qian, Z. Song
Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
7 pages, no figures, publication version, to appear in PRA
Phys. Rev. A 74, 022302 (2006)
10.1103/PhysRevA.74.022302
null
quant-ph
null
The concepts of concurrence and mode concurrence are the measures of entanglement for spin-1/2 and spinless fermion systems respectively. Based on the Jordan-Wigner transformation, any spin-1/2 system is always associated with a fermion system (called counterpart system). The comparison of concurrence and mode concurrence can be made with the aid of the Marshall's sign rule for the ground states of spin-1/2 $XXZ$ and spinless fermion chain systems. We observe that there exists an inequality between concurrence and mode concurrence for the ground states of the two corresponding systems. The spin-1/2 XY chain system and its spinless fermion counterpart as a realistic example is discussed to demonstrate the analytical results.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 22:15:03 GMT" }, { "version": "v2", "created": "Thu, 6 Jul 2006 02:18:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Qian", "Xiao-Feng", "" ], [ "Song", "Z.", "" ] ]
quant-ph/0604109
Remigiusz Augusiak
Remigiusz Augusiak, Maciej Demianowicz, Pawel Horodecki
Universal observable detecting all two-qubit entanglement and determinant based separability tests
5 pages, RevTeX, one figure replaced by another, tight bounds on negativity and concurrence added, function proved to be a monotone under the pure LOCC, list of authors put in alphabetical order
Physical Review A 77, 030301(R) (2008)
10.1103/PhysRevA.77.030301
null
quant-ph
null
We construct a single observable measurement of which mean value on four copies of an {\it unknown} two-qubit state is sufficient for unambiguous decision whether the state is separable or entangled. In other words, there exists a universal collective entanglement witness detecting all two-qubit entanglement. The test is directly linked to a function which characterizes to some extent the entanglement quantitatively. This function is an entanglement monotone under so--called local pure operations and classical communication (pLOCC) which preserve local dimensions. Moreover it provides tight upper and lower bounds for negativity and concurrence. Elementary quantum computing device estimating unknown two-qubit entanglement is designed.
[ { "version": "v1", "created": "Fri, 14 Apr 2006 22:51:04 GMT" }, { "version": "v2", "created": "Mon, 29 Oct 2007 17:25:28 GMT" } ]
2015-06-26T00:00:00
[ [ "Augusiak", "Remigiusz", "" ], [ "Demianowicz", "Maciej", "" ], [ "Horodecki", "Pawel", "" ] ]
quant-ph/0604110
Jalani Kanem
J.F. Kanem, S. Maneshi, M. Partlow, M. Spanner and A.M. Steinberg
Observation of high-order quantum resonances in the kicked rotor
null
Phys.Rev.Lett. 98, 083004 (2007)
10.1103/PhysRevLett.98.083004
null
quant-ph
null
Quantum resonances in the kicked rotor are characterized by a dramatically increased energy absorption rate, in stark contrast to the momentum localization generally observed. These resonances occur when the scaled Planck's constant hbar=(r/s)*4pi, for any integers r and s. However only the hbar=r*2pi resonances are easily observable. We have observed high-order quantum resonances (s>2) utilizing a sample of low temperature, non-condensed atoms and a pulsed optical standing wave. Resonances are observed for hbar=(r/16)*4pi r=2-6. Quantum numerical simulations suggest that our observation of high-order resonances indicates a larger coherence length than expected from an initially thermal atomic sample.
[ { "version": "v1", "created": "Sat, 15 Apr 2006 23:12:16 GMT" } ]
2015-06-26T00:00:00
[ [ "Kanem", "J. F.", "" ], [ "Maneshi", "S.", "" ], [ "Partlow", "M.", "" ], [ "Spanner", "M.", "" ], [ "Steinberg", "A. M.", "" ] ]
quant-ph/0604111
Arul Lakshminarayan
Krishnendu Maity and Arul Lakshminarayan
Quantum chaos in the spectrum of operators used in Shor's algorithm
Title and paper modified to include interesting additional possibilities. Principal results unaffected. Accepted for publication in Phys. Rev. E as Rapid Comm
Phys. Rev. E. vol. 74, 035203(R) (2006).
10.1103/PhysRevE.74.035203
IITM/PH/TH/2006/5
quant-ph nlin.CD
null
We provide compelling evidence for the presence of quantum chaos in the unitary part of Shor's factoring algorithm. In particular we analyze the spectrum of this part after proper desymmetrization and show that the fluctuations of the eigenangles as well as the distribution of the eigenvector components follow the CUE ensemble of random matrices, of relevance to quantized chaotic systems that violate time-reversal symmetry. However, as the algorithm tracks the evolution of a single state, it is possible to employ other operators, in particular it is possible that the generic quantum chaos found above becomes of a nongeneric kind such as is found in the quantum cat maps, and in toy models of the quantum bakers map.
[ { "version": "v1", "created": "Sun, 16 Apr 2006 05:59:47 GMT" }, { "version": "v2", "created": "Mon, 28 Aug 2006 07:48:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Maity", "Krishnendu", "" ], [ "Lakshminarayan", "Arul", "" ] ]
quant-ph/0604112
Yasushi Kondo Dr.
Yasushi Kondo, Mikio Nakahara, and Shogo Tanimura
Artificial Decoherence and its Suppression in NMR Quantum Computer
Article presented at QIT13 workshop in November 24, 2005 V1 did not create a correct PS or PDF file in the acXiv system. 6 figures
null
null
null
quant-ph
null
Liquid-state NMR quantum computer has demonstrated the possibility of quantum computation and supported its development. Using NMR quantum computer techniques, we observed phase decoherence under two kinds of artificial noise fields; one a noise with a long period, and the other with shorter random period. The first one models decoherence in a quantum channel while the second one models transverse relaxation. We demonstrated that the bang-bang control suppresses decoherence in both cases.
[ { "version": "v1", "created": "Sun, 16 Apr 2006 13:03:01 GMT" }, { "version": "v2", "created": "Tue, 18 Apr 2006 02:07:48 GMT" } ]
2007-05-23T00:00:00
[ [ "Kondo", "Yasushi", "" ], [ "Nakahara", "Mikio", "" ], [ "Tanimura", "Shogo", "" ] ]
quant-ph/0604113
Yaron Bromberg
Barak Dayan, Yaron Bromberg, Itai Afek, and Yaron Silberberg
Spectral Polarization and Spectral Phase Control of Time and Energy Entangled Photons
5 pages, 3 figures
Phys. Rev. A. 75, 043804 (2007)
10.1103/PhysRevA.75.043804
null
quant-ph
null
We demonstrate a scheme to spectrally manipulate a collinear, continuous stream of time and energy entangled photons to generate beamlike, bandwidth-limited fuxes of polarization-entangled photons with nearly-degenerate wavelengths. Utilizing an ultrashort-pulse shaper to control the spectral phase and polarization of the photon pairs, we tailor the shape of the Hong-Ou-Mandel interference pattern, demonstrating the rules that govern the dependence of this interference pattern on the spectral phases of the photons. We then use the pulse shaper to generate all four polarization Bell states. The singlet state generated by this scheme forms a very robust decoherence-free subspace, extremely suitable for long distance fiber-optics based quantum communication.
[ { "version": "v1", "created": "Sun, 16 Apr 2006 17:30:33 GMT" }, { "version": "v2", "created": "Thu, 5 Apr 2007 04:51:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Dayan", "Barak", "" ], [ "Bromberg", "Yaron", "" ], [ "Afek", "Itai", "" ], [ "Silberberg", "Yaron", "" ] ]
quant-ph/0604114
Masoud Mohseni
M. Mohseni and D. A. Lidar
Reply to M. Ziman's "Notes on optimality of direct characterization of quantum dynamics"
null
null
null
null
quant-ph
null
Recently M. Ziman [quant-ph/0603151] criticized our approach for quantifying the required physical resources in the theory of Direct Characterization of Quantum Dynamics (DCQD) [quant-ph/0601033, quant-ph/0601034] in comparison to other quantum process tomography (QPT) schemes. Here we argue that Ziman's comments regarding optimality, quantumness, and the novelty of DCQD are inaccurate. Specifically, we demonstrate that DCQD is optimal with respect to both the required number of experimental configurations and the number of possible outcomes over all known QPT schemes in the 2^{2n} dimensional Hilbert space of n system and n ancilla qubits. Moreover, we show DCQD is more efficient than all known QPT schemes in the sense of overall required number of quantum operations. Furthermore, we argue that DCQD is a new method for characterizing quantum dynamics and cannot be considered merely as a subclass of previously known QPT schemes.
[ { "version": "v1", "created": "Sun, 16 Apr 2006 22:36:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Mohseni", "M.", "" ], [ "Lidar", "D. A.", "" ] ]
quant-ph/0604115
Kazuyuki Fujii
Kazuyuki Fujii and Hiroshi Oike
How to Calculate the Exponential of Matrices
Latex ; 15 pages ; 1 figure. The result is not new unfortunately, while the method is elementary and new. Since the formula is very convenient, it may be worth recording
Far East Journal of Mathematical Education, 9(2012) 39-55
null
null
quant-ph math-ph math.MP
null
How to calculate the exponential of matrices in an explicit manner is one of fundamental problems in almost all subjects in Science. Especially in Mathematical Physics or Quantum Optics many problems are reduced to this calculation by making use of some approximations whether they are appropriate or not. However, it is in general not easy. In this paper we give a very useful formula which is both elementary and getting on with computer.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 01:11:10 GMT" } ]
2012-07-27T00:00:00
[ [ "Fujii", "Kazuyuki", "" ], [ "Oike", "Hiroshi", "" ] ]
quant-ph/0604116
Kazuya Yuasa
Kazuya Yuasa
Derivation of Master Equations in the Presence of Initial Correlations with Reservoir: Projection Method Revisited
10 pages; Contribution to the Proceedings of TQMFA05, Palermo, 2005
null
null
null
quant-ph
null
We discuss the derivation of master equations in the presence of initial correlations with the reservoir. In van Hove's limit, the total system behaves as if it started from a factorized initial condition. A proper choice of Nakajima-Zwanzig's projection operator is crucial and the reservoir should be endowed with the mixing property.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 03:53:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Yuasa", "Kazuya", "" ] ]
quant-ph/0604117
Thomas Durt
Thomas Durt
Tomography of one and two qubit states and factorisation of the Wigner distribution in prime power dimensions
24 pages
null
null
null
quant-ph
null
We study different techniques that allow us to gain complete knowledge about an unknown quantum state, e.g. to perform full tomography of this state. We focus on two apparently simple cases, full tomography of one and two qubit systems. We analyze and compare those techniques according to two figures of merit. Our first criterion is the minimisation of the redundancy of the data acquired during the tomographic process. In the case of two-qubits tomography, we also analyze this process from the point of view of factorisability, so to say we analyze the possibility to realise the tomographic process through local operations and classical communications between local observers. This brings us naturally to study the possibility to factorize the (discrete) Wigner distribution of a composite system into the product of local Wigner distributions. The discrete Heisenberg-Weyl group is an essential ingredient of our approach. Possible extensions of our results to higher dimensions are discussed in the last section and in the conclusions.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 06:32:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Durt", "Thomas", "" ] ]
quant-ph/0604118
Quesne Christiane
C. Quesne, V. M. Tkachuk
Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator
20 pages, no figure, some very small changes, published version
J.Phys.A39:10909-10922,2006
10.1088/0305-4470/39/34/021
ULB/229/CQ/06/2
quant-ph hep-th math-ph math.MP math.QA
null
The $D$-dimensional $(\beta, \beta')$-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a ($D+1$)-dimensional quantized space-time. In the D=3 and $\beta=0$ case, the latter reproduces Snyder algebra. The deformed Poincar\'e transformations leaving the algebra invariant are identified. It is shown that there exists a nonzero minimal uncertainty in position (minimal length). The Dirac oscillator in a 1+1-dimensional space-time described by such an algebra is studied in the case where $\beta'=0$. Extending supersymmetric quantum mechanical and shape-invariance methods to energy-dependent Hamiltonians provides exact bound-state energies and wavefunctions. Physically acceptable states exist for $\beta < 1/(m^2 c^2)$. A new interesting outcome is that, in contrast with the conventional Dirac oscillator, the energy spectrum is bounded.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 12:47:13 GMT" }, { "version": "v2", "created": "Wed, 9 Aug 2006 11:59:39 GMT" } ]
2011-07-19T00:00:00
[ [ "Quesne", "C.", "" ], [ "Tkachuk", "V. M.", "" ] ]
quant-ph/0604119
Paolo Amore Dr
Paolo Amore, Francisco M. Fernandez
Application of the Asymptotic Iteration Method to a Perturbed Coulomb Model
9 pages, 2 figures, 1 table
Journal of Physics A 39, 10491-10497 (2006)
10.1088/0305-4470/39/33/016
null
quant-ph
null
We show that the asymptotic iteration method converges and yields accurate energies for a perturbed Coulomb model. We also discuss alternative perturbation approaches to that model.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 15:09:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Amore", "Paolo", "" ], [ "Fernandez", "Francisco M.", "" ] ]
quant-ph/0604120
Gour Pati
M.S. Shahriar, P. Pradhan, G.S. Pati, V. Gopal, and K. Salit
Light-Shift Imbalance Induced Blockade of Collective Excitations Beyond the Lowest Order
6 pages, 5 figures
null
10.1016/j.optcom.2007.05.057
null
quant-ph
null
Current proposals focusing on neutral atoms for quantum computing are mostly based on using single atoms as quantum bits (qubits), while using cavity induced coupling or dipole-dipole interaction for two-qubit operations. An alternative approach is to use atomic ensembles as qubits. However, when an atomic ensemble is excited, by a laser beam matched to a two-level transition (or a Raman transition) for example, it leads to a cascade of many states as more and more photons are absorbed^1. In order to make use of an ensemble as a qubit, it is necessary to disrupt this cascade, and restrict the excitation to the absorption (and emission) of a single photon only. Here, we show how this can be achieved by using a new type of blockade mechanism, based on the light-shift imbalance (LSI) in a Raman transition. We describe first a simple example illustrating the concept of light shift imbalanced induced blockade (LSIIB) using a multi-level structure in a single atom, and show verifications of the analytic prediction using numerical simulations. We then extend this model to show how a blockade can be realized by using LSI in the excitation of an ensemble. Specifically, we show how the LSIIB process enables one to treat the ensemble as a two level atom that undergoes fully deterministic Rabi oscillations between two collective quantum states, while suppressing excitations of higher order collective states.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 16:13:58 GMT" }, { "version": "v2", "created": "Tue, 18 Apr 2006 02:54:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Shahriar", "M. S.", "" ], [ "Pradhan", "P.", "" ], [ "Pati", "G. S.", "" ], [ "Gopal", "V.", "" ], [ "Salit", "K.", "" ] ]
quant-ph/0604121
Gour Pati
M.S. Shahriar, G.S. Pati, and K. Salit
Quantum Communication and Computing With Atomic Ensembles Using Light-Shift Imbalance Induced Blockade
16 pages, 9 figures. Accepted in Phys. Rev. A
null
10.1103/PhysRevA.75.022323
null
quant-ph
null
Recently, we have shown that for conditions under which the so-called light-shift imbalance induced blockade (LSIIB) occurs, the collective excitation of an ensemble of a multi-level atom can be treated as a closed two level system. In this paper, we describe how such a system can be used as a quantum bit (qubit) for quantum communication and quantum computing. Specifically, we show how to realize a C-NOT gate using the collective qubit and an easily accessible ring cavity, via an extension of the so-called Pellizzari scheme. We also describe how multiple, small-scale quantum computers realized using these qubits can be linked effectively for implementing a quantum internet. We describe the details of the energy levels and transitions in 87Rb atom that could be used for implementing these schemes.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 16:46:16 GMT" }, { "version": "v2", "created": "Tue, 18 Apr 2006 02:57:35 GMT" }, { "version": "v3", "created": "Fri, 22 Dec 2006 16:59:18 GMT" } ]
2015-06-26T00:00:00
[ [ "Shahriar", "M. S.", "" ], [ "Pati", "G. S.", "" ], [ "Salit", "K.", "" ] ]
quant-ph/0604122
Stephen Adler
Stephen L. Adler
Notes on the Conway-Kochen Twin Argument
TEX, 6 pages Revised to withdraw my objections to the C-K argument
null
null
null
quant-ph
null
This is a revision of my original posting, in which I raised objections to part of the Conway-Kochen argument. I now agree with them that their recent reply answers my original concerns. In the first part of these notes (identical to the original), I give a reformulation of the part of the Conway-Kochen result that closes the contextuality loophole in the original Kochen-Specker (KS) theorem. In the second part (modified in this revision) I review my concerns connected with the finite time needed to make a measurement, and briefly indicate how Conway and Kochen have reponded to them.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 20:31:49 GMT" }, { "version": "v2", "created": "Mon, 16 Oct 2006 18:02:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Adler", "Stephen L.", "" ] ]
quant-ph/0604123
Guido A. Raggio
M.E. Gabach Clement, and G.A. Raggio
A simple spectral condition implying separability for states of bipartite quantum systems
5 pages Revised 31 May 2006
null
10.1088/0305-4470/39/29/019
null
quant-ph
null
For two qubits and for general bipartite quantum systems, we give a simple spectral condition in terms of the ordered eigenvalues of the density matrix which guarantees that the corresponding state is separable.
[ { "version": "v1", "created": "Mon, 17 Apr 2006 21:15:29 GMT" }, { "version": "v2", "created": "Wed, 31 May 2006 17:40:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Clement", "M. E. Gabach", "" ], [ "Raggio", "G. A.", "" ] ]
quant-ph/0604124
A. F. Kracklauer
A. F. Kracklauer
What's wrong with this rebuttal?
2 pages
Found. Phys. Lett., 19 (6), 625-629 (2006)
10.1007/s10702-006-1016-3
null
quant-ph
null
A recent rebuttal to criticism of Bell's analysis is shown to be defective by fault of failure to consider all hypothetical conditions input into the derivation of Bell Inequalitites.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 00:32:20 GMT" }, { "version": "v2", "created": "Fri, 20 Oct 2006 13:45:39 GMT" } ]
2015-06-26T00:00:00
[ [ "Kracklauer", "A. F.", "" ] ]
quant-ph/0604125
Zhang Zhanjun Dr.
Zhan-jun Zhang
Improving the security of quantum direct communication with authentication
Any suggestion,comment or help is welcome!
null
10.1103/PhysRevA.75.026301
null
quant-ph
null
Two protocols of quantum direct communication with authentication [Phys. Rev. A {\bf 73}, 042305 (2006)] are recently proposed by Lee, Lim and Yang. In this paper we will show that in the two protocols the authenticator Trent should be prevented from knowing the secret message of communication. The first protocol can be eavesdropped by Trent using the the intercept-measure-resend attack, while the second protocol can be eavesdropped by Trent using single-qubit measurement. To fix these leaks, I revise the original versions of the protocols by using the Pauli-Z operation $\sigma_z$ instead of the original bit-flip operation $X$. As a consequence, the protocol securities are improved.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 02:06:10 GMT" }, { "version": "v2", "created": "Wed, 19 Apr 2006 13:55:59 GMT" } ]
2013-05-29T00:00:00
[ [ "Zhang", "Zhan-jun", "" ] ]
quant-ph/0604126
Haret Rosu
Jorge C. Navarro-Munoz, H.C. Rosu, R. Lopez-Sandoval
Genetic algorithm optimization of entanglement
26 pages with 13 figures, based on Chapter 3 of the Master thesis of the first author defended at IPICyT, San Luis Potosi, Mx, on 22nd of February 2006, similar to the published version [Fig. 5 left out but contains the Appendix figure]
Phys. Rev. A 74, 052308 (Nov. 2006)
10.1103/PhysRevA.74.052308
null
quant-ph
null
We present an application of a genetic algorithmic computational method to the optimization of the concurrence measure of entanglement for the cases of one dimensional chains, as well as square and triangular lattices in a simple tight-binding approach in which the hopping of electrons is much stronger than the phonon dissipation
[ { "version": "v1", "created": "Tue, 18 Apr 2006 01:53:49 GMT" }, { "version": "v2", "created": "Mon, 13 Nov 2006 08:37:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Navarro-Munoz", "Jorge C.", "" ], [ "Rosu", "H. C.", "" ], [ "Lopez-Sandoval", "R.", "" ] ]
quant-ph/0604127
Levon Mardoyan G
L.G. Mardoyan and M.G. Petrosyan
4D singular oscillator and generalized MIC-Kepler system
6 pages
Phys.Atom.Nucl.70:572-575,2007
10.1134/S1063778807030180
null
quant-ph hep-th
null
It is shown that the generalized MIC-Kepler system and four-dimensional singular oscillator are dual to each other and the duality transformation is the generalized version of the Kustaanheimo-Stiefel transformation.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 06:38:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Mardoyan", "L. G.", "" ], [ "Petrosyan", "M. G.", "" ] ]
quant-ph/0604128
Zhi-Ming Zhang
Zhi-Ming Zhang
Generating superposition and entanglement of squeezed vacuum states
5 pages, 3 figures
null
null
null
quant-ph
null
We propose a scheme for generating the superposition and the entanglement of squeezed vacuum states of electromagnetical fields. The scheme involves single-photon source, single photon detector, and cross Kerr nonlinearity. The Kerr nonlinearity required for generating the superposition of squeezed vacuum states is 1/2 of that required for generating the superposition of coherent states. The proposal can also be extended to generate the entanglement states between two coherent states and that between one coherent state and one squeezed vacuum state.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 08:46:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhang", "Zhi-Ming", "" ] ]
quant-ph/0604129
Ting Gao
Ting Gao, Feng-Li Yan, Zhi-Xi Wang, You-Cheng Li
Capacity of a simultaneous quantum secure direct communication scheme between the central party and other M parties
3 pages
Chinese Physics Letters, 23 (2006) 2656
10.1088/0256-307X/23/10/009
null
quant-ph
null
We analyze the capacity of a simultaneous quantum secure direct communication scheme between the central party and other $M$ parties via $M+1$-particle GHZ states and swapping quantum entanglement. It is shown that the encoding scheme should be secret if other $M$ parties wants to transmit $M+1$ bit classical messages to the center party secretly. However when the encoding scheme is announced publicly, we prove that the capacity of the scheme in transmitting the secret messages is 2 bits, no matter how big $M$ is.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 12:29:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Gao", "Ting", "" ], [ "Yan", "Feng-Li", "" ], [ "Wang", "Zhi-Xi", "" ], [ "Li", "You-Cheng", "" ] ]
quant-ph/0604130
Mireille Calvet
Roland Omnes
Decoherence and reduction
null
null
null
null
quant-ph
null
A reduction mechanism resulting directly from the basic principles of quantum mechanics is proposed, inseparably from decoherence. A rather consistent theory of this effect is given and the next problems it raises are indicated.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 13:17:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Omnes", "Roland", "" ] ]
quant-ph/0604131
Mark Jones
Mark A G Jones, Kyriakos Porfyrakis, G Andrew D Briggs, Robert A Taylor, Arzhang Ardavan
Direct optical excitation of a fullerene-incarcerated metal ion
null
Chem. Phys. Lett. 428, 303 (2006)
10.1016/j.cplett.2006.06.094
null
quant-ph
null
The endohedral fullerene Er3N@C80 shows characteristic 1.5 micron photoluminescence at cryogenic temperatures associated with radiative relaxation from the crystal-field split Er3+ 4I13/2 manifold to the 4I15/2 manifold. Previous observations of this luminescence were carried out by photoexcitation of the fullerene cage states leading to relaxation via the ionic states. We present direct non-cage-mediated optical interaction with the erbium ion. We have used this interaction to complete a photoluminescence-excitation map of the Er3+ 4I13/2 manifold. This ability to interact directly with the states of an incarcerated ion suggests the possibility of coherently manipulating fullerene qubit states with light.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 13:43:01 GMT" }, { "version": "v2", "created": "Wed, 19 Apr 2006 09:39:46 GMT" }, { "version": "v3", "created": "Thu, 20 Apr 2006 11:51:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Jones", "Mark A G", "" ], [ "Porfyrakis", "Kyriakos", "" ], [ "Briggs", "G Andrew D", "" ], [ "Taylor", "Robert A", "" ], [ "Ardavan", "Arzhang", "" ] ]
quant-ph/0604132
Mankei Tsang
Mankei Tsang
Beating the spatial standard quantum limits via adiabatic soliton expansion
4 pages, 1 figure, v2: omitted the requirement of negative refraction
null
null
null
quant-ph
null
Spatial quantum enhancement effects are studied under a unified framework. It is shown that the multiphoton absorption rate of photons with a quantum-enhanced lithographic resolution is reduced, not enhanced, contrary to popular belief. The use of adiabatic soliton expansion is proposed to beat the standard quantum limit on the optical beam displacement accuracy, as well as to engineer an arbitrary multiphoton interference pattern for quantum lithography. The proposed scheme provides a conceptually simple method that works for an arbitrary number of photons.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 19:00:28 GMT" }, { "version": "v2", "created": "Tue, 9 May 2006 02:15:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Tsang", "Mankei", "" ] ]
quant-ph/0604133
Alan Forrester
Alan Forrester
Decision theory and information propagation in quantum physics
minor corrections, to appear in Studies in the History and Philosophy of Modern Physics, 35 pages
Studies In History and Philosophy of Science Part B: Studies In History and Philosophy of Modern Physics, Vol, 38, No. 4, Dec 2007, 815-831
10.1016/j.shpsb.2007.02.004
null
quant-ph physics.hist-ph
null
In recent papers, Zurek has objected to the decision-theoretic approach of Deutsch and Wallace to deriving the Born rule for quantum probabilities on the grounds that it courts circularity. Deutsch and Wallace assume that the many worlds theory is true and that decoherence gives rise to a preferred basis. However, decoherence arguments use the reduced density matrix, which relies upon the partial trace and hence upon the Born Rule for its validity. Using the Heisenberg Picture and quantum Darwinism - the notion that classical information is quantum information that can proliferate in the environment pioneered by Olliver et al - I show that measurement interactions between two systems only create correlations between a specific set of commuting observables of system 1 and a specific set of commuting observables of system 2. This argument picks out a unique basis in which information flows in the correlations between those sets of commuting observables. I then derive the Born rule for both pure and mixed states and answer some other criticisms of the decision theoretic approach to quantum probability.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 19:00:35 GMT" }, { "version": "v2", "created": "Tue, 24 Oct 2006 19:59:02 GMT" }, { "version": "v3", "created": "Sun, 11 Feb 2007 01:16:58 GMT" }, { "version": "v4", "created": "Wed, 25 Apr 2007 20:11:40 GMT" } ]
2008-11-22T00:00:00
[ [ "Forrester", "Alan", "" ] ]
quant-ph/0604134
Olivier Pfister
Jietai Jing, Sheng Feng, Russell Bloomer, Olivier Pfister
Experimental continuous-variable entanglement from a phase-difference-locked optical parametric oscillator
4 pages, 4 figures, submitted for publication
PRA 74, 041804(R) (2006)
10.1103/PhysRevA.74.041804
null
quant-ph
null
We observed continuous-variable entanglement between the bright beams emitted above threshold by an ultrastable optical parametric oscillator, classically phase-locked at a frequency difference of 161.8273240(5) MHz. The amplitude-difference squeezing is -3 dB and the phase-sum one is -1.35 dB. Besides proving entanglement in a new physical system, the phase-locked OPO, such unprecedented frequency-difference stability paves the way for transferring entanglement between different optical frequencies and densely implementing continuous-variable quantum information in the frequency domain.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 19:55:21 GMT" }, { "version": "v2", "created": "Wed, 19 Apr 2006 16:27:27 GMT" }, { "version": "v3", "created": "Mon, 17 Jul 2006 15:51:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Jing", "Jietai", "" ], [ "Feng", "Sheng", "" ], [ "Bloomer", "Russell", "" ], [ "Pfister", "Olivier", "" ] ]
quant-ph/0604135
Paul Benioff
Paul Benioff (Argonne National Laboratory, Argonne, IL)
Fields of Iterated Quantum Reference Frames based on Gauge Transformations of Rational String States
15 pages, 4 figures
null
null
null
quant-ph gr-qc hep-th
null
This work is based on a description of quantum reference frames that seems more basic than others in the literature. Here a frame is based on a set of real and of complex numbers and a space time as a 4-tuple of the real numbers. There are many isomorphic frames as there are many isomorphic sets of real numbers. Each frame is suitable for construction of all physical theories as mathematical structures over the real and complex numbers. The organization of the frames into a field of frames is based on the representations of real and complex numbers as Cauchy operators defined on complex rational states of finite qubit strings. The structure of the field is based on noting that the construction of real and complex numbers as Cauchy operators in a frame can be iterated to create new frames coming from a frame. Gauge transformations on the rational string states greatly expand the number of quantum frames as, for each gauge U, there is one frame coming from the original frame. Forward and backward iteration of the construction yields a two way infinite frame field with satisfying properties. There is no background space time and there are no real or complex numbers for the field as a whole. Instead these are relative concepts associated with each frame in the field. Extension to include qukit strings for different k bases, is described as is the problem of reconciling the frame field to the existence of just one frame with one background space time for the observable physical universe.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 20:38:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Benioff", "Paul", "", "Argonne National Laboratory, Argonne, IL" ] ]
quant-ph/0604136
Fernando M. Cucchietti
Fernando Martin Cucchietti, Sonia Fernandez-Vidal, and Juan Pablo Paz
Universal decoherence induced by an environmental quantum phase transition
null
Phys. Rev. A 75, 032337 (2007)
10.1103/PhysRevA.75.032337
LA-UR-06-2517
quant-ph
null
Decoherence induced by coupling a system with an environment may display universal features. Here we demostrate that when the coupling to the system drives a quantum phase transition in the environment, the temporal decay of quantum coherences in the system is Gaussian with a width independent of the system-environment coupling strength. The existence of this effect opens the way for a new type of quantum simulation algorithm, where a single qubit is used to detect a quantum phase transition. We discuss possible implementations of such algorithm and we relate our results to available data on universal decoherence in NMR echo experiments.
[ { "version": "v1", "created": "Tue, 18 Apr 2006 21:05:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Cucchietti", "Fernando Martin", "" ], [ "Fernandez-Vidal", "Sonia", "" ], [ "Paz", "Juan Pablo", "" ] ]
quant-ph/0604137
Alastair Kay
A. Kay
State Transfer and Spin Measurement
4 pages, 2 figures
Phys. Rev. Lett. 98, 010501 (2007)
10.1103/PhysRevLett.98.010501
null
quant-ph
null
We present a Hamiltonian that can be used for amplifying the signal from a quantum state, enabling the measurement of a macroscopic observable to determine the state of a single spin. We prove a general mapping between this Hamiltonian and an exchange Hamiltonian for arbitrary coupling strengths and local magnetic fields. This facilitates the use of existing schemes for perfect state transfer to give perfect amplification. We further prove a link between the evolution of this fixed Hamiltonian and classical Cellular Automata, thereby unifying previous approaches to this amplification task. Finally, we show how to use the new Hamiltonian for perfect state transfer in the, to date, unique scenario where total spin is not conserved during the evolution, and demonstrate that this yields a significantly different response in the presence of decoherence.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 05:30:43 GMT" }, { "version": "v2", "created": "Fri, 21 Apr 2006 01:41:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Kay", "A.", "" ] ]
quant-ph/0604138
Pradyumna Kumar Pathak
P. K. Pathak and G. S. Agarwal
Quantum random walk of two photons in separable and entangled state
null
Phys. Rev. A 75, 032351 (2007)
10.1103/PhysRevA.75.032351
null
quant-ph
null
We discuss quantum random walk of two photons using linear optical elements. We analyze the quantum random walk using photons in a variety of quantum states including entangled states. We find that for photons initially in separable Fock states, the final state is entangled. For polarization entangled photons produced by type II downconverter, we calculate the joint probability of detecting two photons at a given site. We show the remarkable dependence of the two photon detection probability on the quantum nature of the state. In order to understand the quantum random walk, we present exact analytical results for small number of steps like five. We present in details numerical results for a number of cases and supplement the numerical results with asymptotic analytical results.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 06:04:59 GMT" }, { "version": "v2", "created": "Fri, 8 Sep 2006 06:53:09 GMT" }, { "version": "v3", "created": "Wed, 8 Nov 2006 07:55:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Pathak", "P. K.", "" ], [ "Agarwal", "G. S.", "" ] ]
quant-ph/0604139
Pieter Kok
Pieter Kok
Creating large noon states with imperfect phase control
3 pages, 1 figure, more formal derivation of Heisenberg limit
null
null
null
quant-ph
null
Optical noon states (|N,0> + |0,N>) are an important resource for Heisenberg-limited metrology and quantum lithography. The only known methods for creating noon states with arbitrary $N$ via linear optics and projective measurments seem to have a limited range of application due to imperfect phase control. Here, we show that bootstrapping techniques can be used to create high-fidelity noon states of arbitrary size.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 11:00:33 GMT" }, { "version": "v2", "created": "Wed, 5 Jul 2006 09:03:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Kok", "Pieter", "" ] ]
quant-ph/0604140
Peter Rabl
P. Rabl, D. DeMille, J. M. Doyle, M. D. Lukin, R. J. Schoelkopf, and P. Zoller
Hybrid Quantum Processors: molecular ensembles as quantum memory for solid state circuits
null
Phys. Rev. Lett. 97, 033003 (2006)
10.1103/PhysRevLett.97.033003
null
quant-ph cond-mat.supr-con
null
We investigate a hybrid quantum circuit where ensembles of cold polar molecules serve as long-lived quantum memories and optical interfaces for solid state quantum processors. The quantum memory realized by collective spin states (ensemble qubit) is coupled to a high-Q stripline cavity via microwave Raman processes. We show that for convenient trap-surface distances of a few $\mu$m, strong coupling between the cavity and ensemble qubit can be achieved. We discuss basic quantum information protocols, including a swap from the cavity photon bus to the molecular quantum memory, and a deterministic two qubit gate. Finally, we investigate coherence properties of molecular ensemble quantum bits.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 13:09:19 GMT" } ]
2009-12-20T00:00:00
[ [ "Rabl", "P.", "" ], [ "DeMille", "D.", "" ], [ "Doyle", "J. M.", "" ], [ "Lukin", "M. D.", "" ], [ "Schoelkopf", "R. J.", "" ], [ "Zoller", "P.", "" ] ]
quant-ph/0604141
Falk Unger
Harry Buhrman, Richard Cleve, Monique Laurent, Noah Linden, Alexander Schrijver, Falk Unger
New Limits on Fault-Tolerant Quantum Computation
references and typos corrected, 18 pages
null
null
null
quant-ph
null
We show that quantum circuits cannot be made fault-tolerant against a depolarizing noise level of approximately 45%, thereby improving on a previous bound of 50% (due to Razborov). Our precise quantum circuit model enables perfect gates from the Clifford group (CNOT, Hadamard, S, X, Y, Z) and arbitrary additional one-qubit gates that are subject to that much depolarizing noise. We prove that this set of gates cannot be universal for arbitrary (even classical) computation, from which the upper bound on the noise threshold for fault-tolerant quantum computation follows.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 11:42:56 GMT" }, { "version": "v2", "created": "Thu, 20 Apr 2006 10:05:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Buhrman", "Harry", "" ], [ "Cleve", "Richard", "" ], [ "Laurent", "Monique", "" ], [ "Linden", "Noah", "" ], [ "Schrijver", "Alexander", "" ], [ "Unger", "Falk", "" ] ]
quant-ph/0604142
Hans-Thomas Elze
Hans-Thomas Elze
Gauge Symmetry of the Third Kind and Quantum Mechanics as an Infrared Phenomenon
12 pages. To appear in the Festschrift "A Sense of Beauty in Physics" dedicated to Adriano Di Giacomo on occasion of his 70th birthday
Sense of Beauty in Physics: A Volume in Honour of Adriano Di Giacomo, edited by M. D'Elia, K. Konishi, E. Meggiolaro, P. Rossi (Edizioni Plus, Pisa University Press, Pisa, 2006), 275-286
null
null
quant-ph
null
We introduce functional degrees of freedom by a new gauge principle related to the phase of the wave functional. Thereby, quantum mechanical systems are seen as dissipatively embedded part of a nonlinear classical structure producing universal correlations. There are a fundamental length and an entropy/area parameter, besides standard couplings. For states that are sufficiently spread over configuration space, quantum field theory is recovered.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 13:09:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Elze", "Hans-Thomas", "" ] ]
quant-ph/0604143
Ivo Degiovanni
E. Puddu, A. Andreoni, I. P. Degiovanni, M. Bondani, S. Castelletto
Ghost imaging with intense fields from chaotically-seeded parametric downconversion
A slightly revised version will appear on OPT. LETT
null
10.1364/OL.32.001132
null
quant-ph
null
We present the first experimental demonstration of ghost imaging realized with intense beams generated by a parametric downconversion interaction seeded with pseudo-thermal light. As expected, the real image of the object is reconstructed satisfying the thin-lens equation. We show that the experimental visibility of the reconstructed image is in accordance with the theoretically expected one.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 15:34:28 GMT" }, { "version": "v2", "created": "Mon, 25 Sep 2006 12:34:54 GMT" }, { "version": "v3", "created": "Tue, 5 Dec 2006 15:31:29 GMT" }, { "version": "v4", "created": "Tue, 13 Feb 2007 15:47:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Puddu", "E.", "" ], [ "Andreoni", "A.", "" ], [ "Degiovanni", "I. P.", "" ], [ "Bondani", "M.", "" ], [ "Castelletto", "S.", "" ] ]
quant-ph/0604144
Olivier Dulieu
Mireille Aymar (LAC), Olivier Dulieu (LAC), Fernand Spiegelman (LPQ)
Electronic properties of Francium diatomic compounds and prospects for cold molecule formation
null
null
10.1088/0953-4075/39/19/S07
null
quant-ph physics.chem-ph
null
In this work we investigate the possibility to create cold Fr$\_2$, RbFr, and CsFr molecules through photoassociation of cold atoms. Potential curves, permanent and transition dipole moments for the Francium dimer and for the RbFr and RbCs molecules are determined for the first time. The Francium atom is modelled as a one valence electron moving in the field of the Fr$^+$ core, which is described by a new pseudopotential with averaged relativistic effects, and including effective core polarization potential. The molecular calculations are performed for both the ionic species Fr$\_2^+$, RbFr$^+$, CsFr$^+$ and the corresponding neutral, through the CIPSI quantum chemistry package where we used new extended gaussian basis sets for Rb, Cs, and Fr atoms. As no experimental data is available, we discuss our results by comparison with the Rb$\_2$, Cs$\_2$, and RbCs systems. The dipole moment of CsFr reveals an electron transfer yielding a Cs$^+$Fr$^-$ arrangement, while in all other mixed alkali pairs the electron is transferred towards the lighter species. Finally the perturbative treatment of the spin-orbit coupling at large distances predicts that in contrast with Rb$\_2$ and Cs$\_2$, no double-well excited potential should be present in Fr$\_2$, probably preventing an efficient formation of cold dimers via photoassociation of cold Francium atoms.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 15:48:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Aymar", "Mireille", "", "LAC" ], [ "Dulieu", "Olivier", "", "LAC" ], [ "Spiegelman", "Fernand", "", "LPQ" ] ]
quant-ph/0604145
Michael Seevinck
J. Uffink and M. Seevinck
Strengthened Bell inequalities for orthogonal spin directions
v2: Considerably changed, many new and stronger results v3: Published version; To appear in Physics Letters A. Online available from publishers website
Physics Letters A, vol. 372, 1205 (2008)
10.1016/j.physleta.2007.09.033
null
quant-ph
null
We strengthen the bound on the correlations of two spin-1/2 particles (qubits) in separable (non-entangled) states for locally orthogonal spin directions by much tighter bounds than the well-known Bell inequality. This provides a sharper criterion for the experimental distinction between entangled and separable states, and even one which is a necessary and sufficient condition for separability. However, these improved bounds do not apply to local hidden-variable theories, and hence they provide a criterion to test the correlations allowed by local hidden-variable theories against those allowed by separable quantum states. Furthermore, these bounds are stronger than some recent alternative experimentally accessible entanglement criteria. We also address the issue of finding a finite subset of these inequalities that would already form a necessary and sufficient condition for non-entanglement. For mixed state we have not been able to resolve this, but for pure states a set of six inequalities using only three sets of orthogonal observables is shown to be already necessary and sufficient for separability.
[ { "version": "v1", "created": "Wed, 19 Apr 2006 16:46:29 GMT" }, { "version": "v2", "created": "Sat, 7 Jul 2007 17:35:54 GMT" }, { "version": "v3", "created": "Wed, 28 Nov 2007 19:29:48 GMT" } ]
2008-02-22T00:00:00
[ [ "Uffink", "J.", "" ], [ "Seevinck", "M.", "" ] ]
quant-ph/0604146
Yibo Zhao
Yibo Zhao
Generalized Continuous Variables Quantum Key Distribution
null
null
null
null
quant-ph
null
This paper has been withdrawn by the author due to the incorrect argument for the security.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 09:32:05 GMT" }, { "version": "v2", "created": "Wed, 11 Oct 2006 08:53:55 GMT" }, { "version": "v3", "created": "Mon, 26 May 2008 11:10:29 GMT" } ]
2008-05-26T00:00:00
[ [ "Zhao", "Yibo", "" ] ]
quant-ph/0604147
Dafa Li
D. Li, H. Huang, X. Li
The Necessary and Sufficient Conditions of Separability for Multipartite Pure States
Submitted to PRL in Sep. 2004, the paper No is LV9637. Submitted to SIAM on computing, in Jan., 2005, the paper No. is SICOMP 44687. Under reviewing now
Commun. Theor. Phys. 49, 1211-1216 (2008)
10.1088/0253-6102/49/5/29
null
quant-ph
null
In this paper we present the necessary and sufficient conditions of separability for multipartite pure states. These conditions are very simple, and they don't require Schmidt decomposition or tracing out operations. We also give a necessary condition for a local unitary equivalence class for a bipartite system in terms of the determinant of the matrix of amplitudes and explore a variance as a measure of entanglement for multipartite pure states.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 08:37:54 GMT" } ]
2012-05-08T00:00:00
[ [ "Li", "D.", "" ], [ "Huang", "H.", "" ], [ "Li", "X.", "" ] ]
quant-ph/0604148
Franco Ventriglia
V.I. Man'ko, G. Marmo, A. Simoni, E.C.G. Sudarshan, F. Ventriglia
A tomographic setting for quasi-distribution functions
A slightly enlarged version in which contact with the Agarwal-Wolf $\Omega$-operator ordering theory is made
Rept.Math.Phys.61:337-359,2008
10.1016/S0034-4877(08)00016-5
null
quant-ph hep-th math-ph math.MP
null
The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-distribution and photon number tomography are reconsidered in the new setting. New tomographic schemes based on coherent states and nonlinear coherent states of deformed oscillators, including q-oscillators, are suggested. The associated identity decompositions providing Gram-Schmidt operators are explicitly given, and contact with the Agarwal-Wolf $\Omega$-operator ordering theory is made.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 09:16:34 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 14:10:21 GMT" } ]
2009-02-23T00:00:00
[ [ "Man'ko", "V. I.", "" ], [ "Marmo", "G.", "" ], [ "Simoni", "A.", "" ], [ "Sudarshan", "E. C. G.", "" ], [ "Ventriglia", "F.", "" ] ]
quant-ph/0604149
Yuan Feng
Yuan Feng, Runyao Duan, Zhengfeng Ji
Optimal dense coding with arbitrary pure entangled states
5 pages, journal version
Phys. Rev. A 74, 012310 (2006)
10.1103/PhysRevA.74.012310
null
quant-ph
null
We examine dense coding with an arbitrary pure entangled state sharing between the sender and the receiver. Upper bounds on the average success probability in approximate dense coding and on the probability of conclusive results in unambiguous dense coding are derived. We also construct the optimal protocol which saturates the upper bound in each case.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 11:45:43 GMT" }, { "version": "v2", "created": "Thu, 17 Aug 2006 00:32:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Feng", "Yuan", "" ], [ "Duan", "Runyao", "" ], [ "Ji", "Zhengfeng", "" ] ]
quant-ph/0604150
Yair Goldfarb
Yair Goldfarb, Ilan Degani and David J. Tannor
Bohmian Mechanics with Complex Action: A New Trajectory-Based Formulation of Quantum Mechanics
null
null
10.1063/1.2798762
null
quant-ph
null
In recent years there has been a resurgence of interest in Bohmian mechanics as a numerical tool because of its local dynamics, which suggest the possibility of significant computational advantages for the simulation of large quantum systems. However, closer inspection of the Bohmian formulation reveals that the nonlocality of quantum mechanics has not disappeared -- it has simply been swept under the rug into the quantum force. In this paper we present a new formulation of Bohmian mechanics in which the quantum action, S, is taken to be complex. This leads to a single equation for complex S, and ultimately complex x and p but there is a reward for this complexification -- a significantly higher degree of localization. The quantum force in the new approach vanishes for Gaussian wavepacket dynamics, and its effect on barrier tunneling processes is orders of magnitude lower than that of the classical force. We demonstrate tunneling probabilities that are in virtually perfect agreement with the exact quantum mechanics down to 10^{-7} calculated from strictly localized quantum trajectories that do not communicate with their neighbors. The new formulation may have significant implications for fundamental quantum mechanics, ranging from the interpretation of non-locality to measures of quantum complexity.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 13:03:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Goldfarb", "Yair", "" ], [ "Degani", "Ilan", "" ], [ "Tannor", "David J.", "" ] ]
quant-ph/0604151
Gennady Sardanashvily
G.Giachetta, L.Mangiarotti, G.Sardanashvily
Quantization of noncommutative completely integrable Hamiltonian systems
11 pages, accepted for publication in Phys. Lett. A
Physics Letters A, v.362 (2007) 138-142
10.1016/j.physleta.2006.10.011
null
quant-ph math-ph math.MP
null
Integrals of motion of a Hamiltonian system need not be commutative. The classical Mishchenko-Fomenko theorem enables one to quantize a noncommutative completely integrable Hamiltonian system around its invariant submanifold as an abelian completely integrable Hamiltonian system.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 13:11:54 GMT" }, { "version": "v2", "created": "Tue, 3 Oct 2006 17:17:08 GMT" } ]
2015-06-26T00:00:00
[ [ "Giachetta", "G.", "" ], [ "Mangiarotti", "L.", "" ], [ "Sardanashvily", "G.", "" ] ]
quant-ph/0604152
Petr Marek
P. Marek, M. S. Kim, and M. Paternostro
Characterization of the entanglement of two squeezed states
Minor changes, journal reference added
Phys. Rev. A 74, 032311 (2006)
10.1103/PhysRevA.74.032311
null
quant-ph
null
We study a continuous-variable entangled state composed of two states which are squeezed in two opposite quadratures in phase space. Various entanglement conditions are tested for the entangled squeezed state and we study decoherence models for noise, producing a mixed entangled squeezed state. We briefly describe a probabilistic protocol for entanglement swapping based on the use of this class of entangled states and the main features of a general generation scheme.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 13:16:29 GMT" }, { "version": "v2", "created": "Fri, 15 Sep 2006 16:53:16 GMT" } ]
2010-08-05T00:00:00
[ [ "Marek", "P.", "" ], [ "Kim", "M. S.", "" ], [ "Paternostro", "M.", "" ] ]
quant-ph/0604153
Robert Johnson
Robert W. Johnson
Quantum Mechanics associated with a Finite Group
Submitted to Intern. J. Theor. Phys
null
null
null
quant-ph
null
I describe, in the simplified context of finite groups and their representations, a mathematical model for a physical system that contains both its quantum and classical aspects. The physically observable system is associated with the space containing elements fxf for f an element in the regular representation of a given finite group G. The Hermitian portion of fxf is the Wigner distribution of f whose convolution with a test function leads to a mathematical description of the quantum measurement process. Starting with the Jacobi group that is formed from the semidirect product of the Heisenberg group with its automorphism group SL(2,F{N}) for N an odd prime number I show that the classical phase space is the first order term in a series of subspaces of the Hermitian portion of fxf that are stable under SL(2,F{N}). I define a derivative that is analogous to a pseudodifferential operator to enable a treatment that parallels the continuum case. I give a new derivation of the Schrodinger-Weil representation of the Jacobi group. Keywords: quantum mechanics, finite group, metaplectic. PACS: 03.65.Fd; 02.10.De; 03.65.Ta.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 16:03:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Johnson", "Robert W.", "" ] ]
quant-ph/0604154
Leble Sergey
Sergey Leble, Artem Yurov
Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections
5 pages, annual conference of Immanuele Kant State University (former Kaliningrad State University) in 1993
null
null
null
quant-ph
null
The generalized zeta-function is built by a dressing method based on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasiclassical approximation. Quantum corrections to a kink-like solutions of Landau-Ginzburg model are calculated.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 16:42:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Leble", "Sergey", "" ], [ "Yurov", "Artem", "" ] ]
quant-ph/0604155
Alberto Montina
Alberto Montina
A condition for any realistic theory of quantum systems
null
Phys. Rev. Lett. 97, 180401 (2006)
10.1103/PhysRevLett.97.180401
null
quant-ph
null
In quantum physics, the density operator completely describes the state. Instead, in classical physics the mean value of every physical quantity is evaluated by means of a probability distribution. We study the possibility to describe pure quantum states and events with classical probability distributions and conditional probabilities and prove that the distributions can not be quadratic functions of the quantum state. Some examples are considered. Finally, we deal with the exponential complexity problem of quantum physics and introduce the concept of classical dimension for a quantum system.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 19:14:34 GMT" }, { "version": "v2", "created": "Sat, 15 Dec 2007 00:46:13 GMT" } ]
2011-11-09T00:00:00
[ [ "Montina", "Alberto", "" ] ]
quant-ph/0604156
Wesley B. Cardoso
W. B. Cardoso, A.T. Avelar, B. Baseia, and N.G. de Almeida
Teleportation of entangled states without Bell-state measurement
4 pages, 1 figure, published in Phys. Rev. A 72, 045802 (2005)
Phys. Rev. A 72, 045802 (2005)
10.1103/PhysRevA.72.045802
null
quant-ph
null
In a recent paper [Phys. Rev. A 70, 025803 (2004)] we presented a scheme to teleport an entanglement of zero- and one-photon states from a bimodal cavity to another one, with 100% success probability. Here, inspired on recent results in the literature, we have modified our previous proposal to teleport the same entangled state without using Bell-state measurements. For comparison, the time spent, the fidelity, and the success probability for this teleportation are considered.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 19:58:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Cardoso", "W. B.", "" ], [ "Avelar", "A. T.", "" ], [ "Baseia", "B.", "" ], [ "de Almeida", "N. G.", "" ] ]
quant-ph/0604157
Tamas Geszti
J\'ozsef Zsolt Bern\'ad, Lajos Di\'osi, and Tam\'as Geszti
Quest for quantum superpositions of a mirror: high and moderately low temperatures
revised; the published version
Phys. Rev. Lett. {\bf 97,} 250404 (2006)
10.1103/PhysRevLett.97.250404
null
quant-ph
null
The Born-Markov master equation analysis of the vibrating mirror and photon experiment proposed by Marshall, Simon, Penrose and Bouwmeester is completed by including the important issues of temperature and friction. We find that at the level of cooling available to date, visibility revivals are purely classical, and no quantum effect can be detected by the setup, no matter how strong the photon-mirror coupling is. Checking proposals of universal nonenvironmental decoherence is ruled out by dominating thermal decoherence; a conjectured coordinate-diffusion contribution to decoherence may become observable on reaching moderately low temperatures.
[ { "version": "v1", "created": "Thu, 20 Apr 2006 20:14:07 GMT" }, { "version": "v2", "created": "Sat, 23 Dec 2006 17:01:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Bernád", "József Zsolt", "" ], [ "Diósi", "Lajos", "" ], [ "Geszti", "Tamás", "" ] ]