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quant-ph/0603137
Tobias J. Osborne
Tobias J. Osborne
The ground state of a class of noncritical 1D quantum spin systems can be approximated efficiently
9 pages, 1 eps figure, minor changes
Phys. Rev. A 75, 042306 (2007)
10.1103/PhysRevA.75.042306
null
quant-ph
null
We study families H_n of 1D quantum spin systems, where n is the number of spins, which have a spectral gap \Delta E between the ground-state and first-excited state energy that scales, asymptotically, as a constant in n. We show that if the ground state |\Omega_m> of the hamiltonian H_m on m spins, where m is an O(1) constant, is locally the same as the ground state |\Omega_n>, for arbitrarily large n, then an arbitrarily good approximation to the ground state of H_n can be stored efficiently for all n. We formulate a conjecture that, if true, would imply our result applies to all noncritical 1D spin systems. We also include an appendix on quasi-adiabatic evolutions.
[ { "version": "v1", "created": "Wed, 15 Mar 2006 15:31:43 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 10:45:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Osborne", "Tobias J.", "" ] ]
quant-ph/0603138
Markus A. Cirone
E. Charron, M. A. Cirone, A. Negretti, J. Schmiedmayer, T. Calarco
Theoretical analysis of the implementation of a quantum phase gate with neutral atoms on atom chips
9 pages, 5 color figures
Phys. Rev. A 74, 012308 (2006)
10.1103/PhysRevA.74.012308
null
quant-ph
null
We present a detailed, realistic analysis of the implementation of a proposal for a quantum phase gate based on atomic vibrational states, specializing it to neutral rubidium atoms on atom chips. We show how to create a double--well potential with static currents on the atom chips, using for all relevant parameters values that are achieved with present technology. The potential barrier between the two wells can be modified by varying the currents in order to realize a quantum phase gate for qubit states encoded in the atomic external degree of freedom. The gate performance is analyzed through numerical simulations; the operation time is ~10 ms with a performance fidelity above 99.9%. For storage of the state between the operations the qubit state can be transferred efficiently via Raman transitions to two hyperfine states, where its decoherence is strongly inhibited. In addition we discuss the limits imposed by the proximity of the surface to the gate fidelity.
[ { "version": "v1", "created": "Wed, 15 Mar 2006 15:59:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Charron", "E.", "" ], [ "Cirone", "M. A.", "" ], [ "Negretti", "A.", "" ], [ "Schmiedmayer", "J.", "" ], [ "Calarco", "T.", "" ] ]
quant-ph/0603139
Mohamad Ali Jafarizadeh
M. A. Jafarizadeh, S. Salimi
Investigation of Continuous-Time Quantum Walk Via Modules of Bose-Mesner and Terwilliger Algebras
44 pages, 4 figures
null
10.1088/0305-4470/39/42/007
null
quant-ph
null
The continuous-time quantum walk on the underlying graphs of association schemes have been studied, via the algebraic combinatorics structures of association schemes, namely semi-simple modules of their Bose-Mesner and (reference state dependent) Terwilliger algebras. By choosing the (walk) starting site as a reference state, the Terwilliger algebra connected with this choice turns the graph into the metric space, hence stratifies the graph into a (d+1) disjoint union of strata, where the amplitudes of observing the continuous-time quantum walk on all sites belonging to a given stratum are the same. In graphs of association schemes with known spectrum, the transition amplitudes and average probabilities are given in terms of dual eigenvalues of association schemes. As most of association schemes arise from finite groups, hence the continuous-time walk on generic group association schemes have been studied in great details, where the transition amplitudes are given in terms of characters of groups. Further investigated examples are the walk on graphs of association schemes of symmetric $S_n$, Dihedral $D_{2m}$ and cyclic groups. Also, following Ref.\cite{js}, the spectral distributions connected to the highest irreducible representations of Terwilliger algebras of some rather important graphs, namely distance regular graphs, have been presented. Then using spectral distribution, the amplitudes of continuous-time quantum walk on graphs such as cycle graph $C_n$, Johnson and normal subgroup graphs have been evaluated. {\bf Keywords: Continuous-time quantum walk, Association scheme, Bose-Mesner algebra, Terwilliger algebra, Spectral distribution, Distance regular graph.} {\bf PACs Index: 03.65.Ud}
[ { "version": "v1", "created": "Wed, 15 Mar 2006 16:08:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Jafarizadeh", "M. A.", "" ], [ "Salimi", "S.", "" ] ]
quant-ph/0603140
Samuel J. Lomonaco jr
Samuel J. Lomonaco, Jr. and Louis H. Kauffman
Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm ?
null
null
null
null
quant-ph
null
The arguments given in this paper suggest that Grover's and Shor's algorithms are more closely related than one might at first expect. Specifically, we show that Grover's algorithm can be viewed as a quantum algorithm which solves a non-abelian hidden subgroup problem (HSP). But we then go on to show that the standard non-abelian quantum hidden subgroup (QHS) algorithm can not find a solution to this particular HSP. This leaves open the question as to whether or not there is some modification of the standard non-abelian QHS algorithm which is equivalent to Grover's algorithm.
[ { "version": "v1", "created": "Wed, 15 Mar 2006 19:30:29 GMT" } ]
2012-08-27T00:00:00
[ [ "Lomonaco,", "Samuel J.", "Jr." ], [ "Kauffman", "Louis H.", "" ] ]
quant-ph/0603141
Bryan C. Jacobs
B.C. Jacobs, T.B. Pittman, and J.D. Franson
Single Photon Source Using Laser Pulses and Two-Photon Absorption
null
null
10.1103/PhysRevA.74.010303
null
quant-ph
null
We have previously shown that two-photon absorption (TPA) and the quantum Zeno effect can be used to make deterministic quantum logic devices from an otherwise linear optical system. Here we show that this type of quantum Zeno gate can be used with additional two-photon absorbing media and weak laser pulses to make a heralded single photon source. A source of this kind is expected to have a number of practical advantages that make it well suited for large scale quantum information processing applications.
[ { "version": "v1", "created": "Wed, 15 Mar 2006 22:23:28 GMT" }, { "version": "v2", "created": "Fri, 17 Mar 2006 23:19:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Jacobs", "B. C.", "" ], [ "Pittman", "T. B.", "" ], [ "Franson", "J. D.", "" ] ]
quant-ph/0603142
Robert Clark
Kenneth R. Brown, Robert J. Clark, Jaroslaw Labaziewicz, Philip Richerme, David R. Leibrandt, and Isaac L. Chuang
Electron impact ionization loading of a surface electrode ion trap
4 pages, 5 eps figures. Shift in focus, minor corrections
null
10.1103/PhysRevA.75.015401
null
quant-ph
null
We demonstrate a method for loading surface electrode ion traps by electron impact ionization. The method relies on the property of surface electrode geometries that the trap depth can be increased at the cost of more micromotion. By introducing a buffer gas, we can counteract the rf heating assocated with the micromotion and benefit from the larger trap depth. After an initial loading of the trap, standard compensation techniques can be used to cancel the stray fields resulting from charged dielectric and allow for the loading of the trap at ultra-high vacuum.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 00:34:34 GMT" }, { "version": "v2", "created": "Thu, 16 Mar 2006 22:26:55 GMT" }, { "version": "v3", "created": "Fri, 21 Apr 2006 00:55:14 GMT" }, { "version": "v4", "created": "Thu, 29 Jun 2006 16:46:52 GMT" } ]
2013-05-29T00:00:00
[ [ "Brown", "Kenneth R.", "" ], [ "Clark", "Robert J.", "" ], [ "Labaziewicz", "Jaroslaw", "" ], [ "Richerme", "Philip", "" ], [ "Leibrandt", "David R.", "" ], [ "Chuang", "Isaac L.", "" ] ]
quant-ph/0603143
Hoshang Heydari
Hoshang Heydari
Generating set for general multipartite entangled states
5 pages
Proceedings of the 8th International Conference on Quantum Communication, Measurement and Computing, Edited by O. Hirota, J. H. Shapiro, and M. Sasaki, (NICT Press, Japan, 2007), pp.311-314
null
null
quant-ph
null
We propose a entanglement generating set for a general multipartite state based on the of concurrence. In particular, we show that concurrence for general multipartite states can be constructed by different classes of local operators which are defined by complement of positive operator valued measure on quantum phases. The entanglement generating set consists of different classes of entanglement that are detected by these classes of operators and contributes to the degree of entanglement for a general multipartite state.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 05:29:26 GMT" }, { "version": "v2", "created": "Wed, 22 Aug 2007 08:52:16 GMT" } ]
2007-08-22T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
quant-ph/0603144
Jian Wang
Jian Wang, Quan Zhang, Chao-jing Tang
Quantum secure communication scheme with W state
Comments are welcome
Commun. Theor. Phys., 2007, 48(4):637-640
10.1088/0253-6102/48/4/013
null
quant-ph
null
Recently, Cao et al. proposed a new quantum secure direct communication scheme using W state. In their scheme, the error rate introduced by an eavesdropper who takes intercept-resend attack, is only 8.3%. Actually, their scheme is just a quantum key distribution scheme because the communication parties first create a shared key and then encrypt the secret message using one-time pad. We then present a quantum secure communication scheme using three-qubit W state. In our scheme, the error rate is raised to 25% and it is not necessary for the present scheme to use alternative measurement or Bell basis measurement. We also show our scheme is unconditionally secure.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 08:01:59 GMT" } ]
2015-06-26T00:00:00
[ [ "Wang", "Jian", "" ], [ "Zhang", "Quan", "" ], [ "Tang", "Chao-jing", "" ] ]
quant-ph/0603145
Chil-Min Kim
Yun Jin Choi, Young-Jai Park, Chil-Min Kim, and Jaewan Kim
Multipartite Quantum Secret Sharing using Not-So-Weak Qubits
4 pages, 3 figures, an author is added
null
10.3938/jkps.51.4
null
quant-ph
null
We propose a new quantum secret sharing scheme using a single non-entangled qubit. In the scheme, by transmitting a qubit to the next party sequentially, a sender can securely transmit a secret message to $N$ receivers who could only decode the message cooperatively after randomly shuffling the polarization of the qubit. We explain this quantum secret sharing scheme into the one between a sender and two receivers, and generalize the scheme between a sender and $N$ receivers. Since our scheme is capable of using a faint coherent pulse as a qubit, it is experimentally feasible within current technology.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 09:30:04 GMT" }, { "version": "v2", "created": "Wed, 7 Feb 2007 08:36:34 GMT" }, { "version": "v3", "created": "Sat, 10 Feb 2007 07:40:22 GMT" } ]
2015-06-26T00:00:00
[ [ "Choi", "Yun Jin", "" ], [ "Park", "Young-Jai", "" ], [ "Kim", "Chil-Min", "" ], [ "Kim", "Jaewan", "" ] ]
quant-ph/0603146
Ian Durham
I. T. Durham
Sir Arthur Eddington and the Foundations of Modern Physics
Doctoral dissertation, School of Mathematics, University of St. Andrews, April 2005 (external examiner: S.R.D. French, University of Leeds); 289 pages; includes photographs; **12.5 MB file**
null
null
null
quant-ph gr-qc physics.hist-ph
null
This doctoral dissertation presents an in-depth analysis of the first six chapters of Eddington's Fundamental Theory, sometimes referred to as his 'statistical' theory, in the context of discoveries and advancements made since its original publication in 1946. In particular, the analysis is focused on being in the context of the foundations of quantum mechanics and quantum field theory. The results of the analysis illuminate a number of novel methods and techniques that, though not always correct, may prove to be enlightening and even useful for future research in quantum foundations.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 15:06:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Durham", "I. T.", "" ] ]
quant-ph/0603147
S. Wallentowitz
D. Ivanov and S. Wallentowitz
Test of the quantumness of atom-atom correlations in a bosonic gas
null
Europhys. Lett. 73, 499 (2006)
10.1209/epl/i2005-10435-1
null
quant-ph
null
It is shown how the quantumness of atom-atom correlations in a trapped bosonic gas can be made observable. Application of continuous feedback control of the center of mass of the atomic cloud is shown to generate oscillations of the spatial extension of the cloud, whose amplitude can be directly used as a characterization of atom-atom correlations. Feedback parameters can be chosen such that the violation of a Schwarz inequality for atom-atom correlations can be tested at noise levels much higher than the standard quantum limit.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 16:10:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Ivanov", "D.", "" ], [ "Wallentowitz", "S.", "" ] ]
quant-ph/0603148
Martina Avellino
M. Avellino, A.J. Fisher, S. Bose
Quantum Communication in Spin Systems With Long-Range Interactions
15 pages, 8 eps figures, updated references, corrected text and corrected figs. 1, 4 and 5
PHYSICAL REVIEW A 74, 012321 (2006)
10.1103/PhysRevA.74.012321
null
quant-ph
null
We calculate the fidelity of transmission of a single qubit between distant sites on semi-infinite and finite chains of spins coupled via the magnetic dipole interaction. We show that such systems often perform better than their Heisenberg nearest-neighbour coupled counterparts, and that fidelities closely approaching unity can be attained between the ends of finite chains without any special engineering of the system, although state transfer becomes slow in long chains. We discuss possible optimization methods, and find that, for any length, the best compromise between the quality and the speed of the communication is obtained in a nearly uniform chain of 4 spins.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 16:14:12 GMT" }, { "version": "v2", "created": "Wed, 21 Jun 2006 10:35:28 GMT" }, { "version": "v3", "created": "Thu, 29 Jun 2006 16:38:57 GMT" }, { "version": "v4", "created": "Tue, 11 Jul 2006 14:23:51 GMT" }, { "version": "v5", "created": "Wed, 2 Aug 2006 16:24:56 GMT" }, { "version": "v6", "created": "Thu, 29 Nov 2007 13:47:39 GMT" } ]
2007-11-29T00:00:00
[ [ "Avellino", "M.", "" ], [ "Fisher", "A. J.", "" ], [ "Bose", "S.", "" ] ]
quant-ph/0603149
Adam Miranowicz
Adam Miranowicz and Wieslaw Leonski
Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers
11 pages, 12 figures, to appear in J. Phys. B
J. Phys. B 39, 1683-1700 (2006)
10.1088/0953-4075/39/7/011
null
quant-ph
null
Schemes for optical-state truncation of two cavity modes are analysed. The systems, referred to as the nonlinear quantum scissors devices, comprise two coupled nonlinear oscillators (Kerr nonlinear coupler) with one or two of them pumped by external classical fields. It is shown that the quantum evolution of the pumped couplers can be closed in a two-qubit Hilbert space spanned by vacuum and single-photon states only. Thus, the pumped couplers can behave as a two-qubit system. Analysis of time evolution of the quantum entanglement shows that Bell states can be generated. A possible implementation of the couplers is suggested in a pumped double-ring cavity with resonantly enhanced Kerr nonlinearities in an electromagnetically-induced transparency scheme. The fragility of the generated states and their entanglement due to the standard dissipation and phase damping are discussed by numerically solving two types of master equations.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 18:39:20 GMT" } ]
2009-08-03T00:00:00
[ [ "Miranowicz", "Adam", "" ], [ "Leonski", "Wieslaw", "" ] ]
quant-ph/0603150
Ilya Fushman
Ilya Fushman and Jelena Vuckovic
Analysis of a Quantum Nondemolition Measurement Scheme Based on Kerr Nonlinearity in Photonic Crystal Waveguides
null
null
10.1364/OE.15.005559
null
quant-ph physics.optics
null
We discuss the feasibility of a quantum nondemolition measurement (QND) of photon number based on cross phase modulation due to the Kerr effect in Photonic Crystal Waveguides (PCWs). In particular, we derive the equations for two modes propagating in PCWs and their coupling by a third order nonlinearity. The reduced group velocity and small cross-sectional area of the PCW lead to an enhancement of the interaction relative to bulk materials. We show that in principle, such experiments may be feasible with current photonic technologies, although they are limited by material properties. Our analysis of the propagation equations is sufficiently general to be applicable to the study of soliton formation, all-optical switching and can be extended to processes involving other orders of the nonlinearity.
[ { "version": "v1", "created": "Thu, 16 Mar 2006 22:30:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Fushman", "Ilya", "" ], [ "Vuckovic", "Jelena", "" ] ]
quant-ph/0603151
Mario Ziman
Mario Ziman
Notes on optimality of direct characterisation of quantum dynamics
3 pages
null
null
null
quant-ph
null
We argue that the claimed optimality of a new process tomography method suggested in [quant-ph/0601033] and [quant-ph/0601034] is based on not completely fair comparison that does not take into account the available information in an equal way. We also argue that the method is not a new process tomography scheme, but rather represents an interesting modification of ancilla assisted process tomography method. In our opinion these modifications require deeper understanding and further investigation.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 01:14:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Ziman", "Mario", "" ] ]
quant-ph/0603152
Lan Zhou
Lan Zhou, F. M. Hu, Jing Lu, C. P. Sun
Electromagnetic manipulation for anti-Zeno effect in an engineered quantum tunneling process
6 pages, 5 figures
null
10.1103/PhysRevA.74.032102
null
quant-ph
null
We investigate the quantum Zeno and anti-Zeno effects for the irreversible quantum tunneling from a quantum dot to a ring array of quantum dots. By modeling the total system with the Anderson-Fano-Lee model, it is found that the transition from the quantum Zeno effect to quantum anti-Zeno effect can happen as the magnetic flux and the gate voltage were adjusted.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 07:36:44 GMT" }, { "version": "v2", "created": "Fri, 1 Sep 2006 10:51:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhou", "Lan", "" ], [ "Hu", "F. M.", "" ], [ "Lu", "Jing", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0603153
Dominique Delande
Guillaume Labeyrie (INLN), Dominique Delande (LKB - Jussieu), Robin Kaiser (INLN), Christian Miniatura (INLN)
Light transport in cold atoms and thermal decoherence
4 pages - submitted to Physical Review Letters
Physical Review Letters 97 (07/07/2006) 013004
10.1103/PhysRevLett.97.013004
null
quant-ph cond-mat.other
null
By using the coherent backscattering interference effect, we investigate experimentally and theoretically how coherent transport of light inside a cold atomic vapour is affected by the residual motion of atomic scatterers. As the temperature of the atomic cloud increases, the interference contrast dramatically decreases emphazising the role of motion-induced decoherence for resonant scatterers even in the sub-Doppler regime of temperature. We derive analytical expressions for the corresponding coherence time.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 12:32:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Labeyrie", "Guillaume", "", "INLN" ], [ "Delande", "Dominique", "", "LKB - Jussieu" ], [ "Kaiser", "Robin", "", "INLN" ], [ "Miniatura", "Christian", "", "INLN" ] ]
quant-ph/0603154
Chi-Yee Cheung
Chi-Yee Cheung
Secure Quantum Bit Commitment Using Unstable Particles
4 pages, 0 figure, REVTEX 4; protocol modified
null
null
null
quant-ph
null
Using unstable particles which decay by emitting neutrinos, we propose a quantum bit commitment protocol that is humanly impossible to break. Neutrinos carry away quantum information, but their interaction with matter is so weak that it would take an astronomically-sized machine just to catch them, not to mention performing controlled unitary operations on them. As a result quantum information is lost, and cheating is not possible even if the participants had access to the most powerful quantum computers that could ever be built. Therefore, for all practical purposes, our new protocol is as good as unconditionally secure.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 16:12:32 GMT" }, { "version": "v2", "created": "Wed, 22 Mar 2006 10:23:41 GMT" }, { "version": "v3", "created": "Tue, 28 Mar 2006 12:03:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Cheung", "Chi-Yee", "" ] ]
quant-ph/0603155
Dmitry Arbatsky
D. A. Arbatsky
The certainty principle II: Proof of the uncertainty principle
One paper, in Russian and in English, no figures
null
null
null
quant-ph
null
A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 16:03:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Arbatsky", "D. A.", "" ] ]
quant-ph/0603156
C.M. Chandrashekar
C.M. Chandrashekar
Implementing the one-dimensional quantum (Hadamard) walk using a Bose-Einstein Condensate
7 pages, 3 figures
Phys. Rev. A . 74, 032307 (2006)
10.1103/PhysRevA.74.032307
null
quant-ph
null
We propose a scheme to implement the simplest and best-studied version of quantum random walk, the discrete Hadamard walk, in one dimension using coherent macroscopic sample of ultracold atoms, Bose-Einstein condensate (BEC). Implementation of quantum walk using BEC gives access to the familiar quantum phenomena on a macroscopic scale. This paper uses rf pulse to implement Hadamard operation (rotation) and stimulated Raman transition technique as unitary shift operator. The scheme suggests implementation of Hadamard operation and unitary shift operator while the BEC is trapped in long Rayleigh range optical dipole trap. The Hadamard rotation and a unitary shift operator on BEC prepared in one of the internal state followed by a bit flip operation, implements one step of the Hadamard walk. To realize a sizable number of steps, the process is iterated without resorting to intermediate measurement. With current dipole trap technology it should be possible to implement enough steps to experimentally highlight the discrete quantum random walk using a BEC leading to further exploration of quantum random walks and its applications.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 17:10:59 GMT" }, { "version": "v2", "created": "Fri, 30 Jun 2006 12:04:40 GMT" }, { "version": "v3", "created": "Mon, 24 Jul 2006 05:43:46 GMT" }, { "version": "v4", "created": "Tue, 12 Sep 2006 04:24:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Chandrashekar", "C. M.", "" ] ]
quant-ph/0603157
Daniel Kuan Li Oi
Daniel K. L. Oi and Johan Aberg
Fidelity and Coherence Measures from Interference
4 pages, 4 Figures
null
10.1103/PhysRevLett.97.220404
null
quant-ph
null
By utilizing single particle interferometry, the fidelity or coherence of a pair of quantum states is identified with their capacity for interference. We consider processes acting on the internal degree of freedom (e.g., spin or polarization) of the interfering particle, preparing it in states \rho_{A} or \rho_{B} in the respective path of the interferometer. The maximal visibility depends on the choice of interferometer, as well as the locality or non-locality of the preparations, but otherwise depends only on the states \rho_{A} and \rho_{B} and not the individual preparation processes themselves. This allows us to define interferometric measures which probe locality and correlation properties of spatially or temporally separated processes, and can be used to differentiate between processes that cannot be distinguished by direct process tomography using only the internal state of the particle.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 17:46:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Oi", "Daniel K. L.", "" ], [ "Aberg", "Johan", "" ] ]
quant-ph/0603158
Deborah Watson
M. Dunn, D.K. Watson and J.G. Loeser
N Identical Particles Under Quantum Confinement: A Many-Body Dimensional Perturbation Theory Approach II, The Lowest-Order Wave Function I
52 pages
null
null
null
quant-ph
null
In this paper we continue our development of a dimensional perturbation theory (DPT) treatment of N identical particles under quantum confinement. DPT is a beyond-mean-field method which is applicable to both weakly and strongly-interacting systems and can be used to connect both limits. In a previous paper we developed the formalism for low-order energies and excitation frequencies. This formalism has been applied to atoms, Bose-Einstein condensates and quantum dots. One major advantage of the method is that N appears as a parameter in the analytical expressions for the energy and so results for N up to a few thousand are easy to obtain. Other properties however, are also of interest, for example the density profile in the case of a BEC,and larger N results are desirable as well. The latter case requires us to go to higher orders in DPT. These calculations require as input zeroth-order wave functions and this paper, along with a subsequent paper, addresses this issue.
[ { "version": "v1", "created": "Fri, 17 Mar 2006 20:32:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Dunn", "M.", "" ], [ "Watson", "D. K.", "" ], [ "Loeser", "J. G.", "" ] ]
quant-ph/0603159
Fumiko Yamaguchi
Fumiko Yamaguchi and Yoshihisa Yamamoto
A naturally error suppressing quantum memory
null
null
null
null
quant-ph
null
We propose a method to construct quantum storage wherein the phase error due to decoherence is naturally suppressed without constant error detection and correction. As an example, we describe a quantum memory made of two physical qubits encoded in the ground state of a two-qubit phase-error detecting code. Such a system can be simulated by introducing a coupling between the two physical qubits. This method is effective for physical systems in which the $T_1$ decay process is negligible but coherence is limited by the $T_2$ decay process. We take trapped ions as a possible example to apply the natural suppression method and show that the $T_2$ decay time due to slow ambient fluctuating fields at the physical qubits can be lengthened as much as $10^4$.
[ { "version": "v1", "created": "Sat, 18 Mar 2006 00:19:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Yamaguchi", "Fumiko", "" ], [ "Yamamoto", "Yoshihisa", "" ] ]
quant-ph/0603160
Mile Gu
Michael A. Nielsen, Mark R. Dowling, Mile Gu and Andrew C. Doherty
Optimal control, geometry, and quantum computing
7 Pages Added Full Names to Authors
null
10.1103/PhysRevA.73.062323
null
quant-ph
null
We prove upper and lower bounds relating the quantum gate complexity of a unitary operation, U, to the optimal control cost associated to the synthesis of U. These bounds apply for any optimal control problem, and can be used to show that the quantum gate complexity is essentially equivalent to the optimal control cost for a wide range of problems, including time-optimal control and finding minimal distances on certain Riemannian, subriemannian, and Finslerian manifolds. These results generalize the results of Nielsen, Dowling, Gu, and Doherty, Science 311, 1133-1135 (2006), which showed that the gate complexity can be related to distances on a Riemannian manifold
[ { "version": "v1", "created": "Sun, 19 Mar 2006 02:13:05 GMT" }, { "version": "v2", "created": "Tue, 21 Mar 2006 16:34:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Nielsen", "Michael A.", "" ], [ "Dowling", "Mark R.", "" ], [ "Gu", "Mile", "" ], [ "Doherty", "Andrew C.", "" ] ]
quant-ph/0603161
Mile Gu
Michael A. Nielsen, Mark R. Dowling, Mile Gu and Andrew C. Doherty
Quantum Computation as Geometry
13 Pages, 1 Figure
M. A. Nielsen, M. Dowling, M. Gu, A. Doherty, Science 311, 1133 (2006)
10.1126/science.1121541
null
quant-ph
null
Quantum computers hold great promise, but it remains a challenge to find efficient quantum circuits that solve interesting computational problems. We show that finding optimal quantum circuits is essentially equivalent to finding the shortest path between two points in a certain curved geometry. By recasting the problem of finding quantum circuits as a geometric problem, we open up the possibility of using the mathematical techniques of Riemannian geometry to suggest new quantum algorithms, or to prove limitations on the power of quantum computers.
[ { "version": "v1", "created": "Sun, 19 Mar 2006 02:36:28 GMT" }, { "version": "v2", "created": "Tue, 21 Mar 2006 16:50:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Nielsen", "Michael A.", "" ], [ "Dowling", "Mark R.", "" ], [ "Gu", "Mile", "" ], [ "Doherty", "Andrew C.", "" ] ]
quant-ph/0603162
Satoshi Ishizaka
Satoshi Ishizaka
Strong monotonicity in mixed-state entanglement manipulation
6 pages and 1 figure. A brief discussion about the connection to asymptotic distillability was added
Phys. Rev. A 73, 062308 (2006)
10.1103/PhysRevA.73.062308
null
quant-ph
null
A strong entanglement monotone, which never increases under local operations and classical communications (LOCC), restricts quantum entanglement manipulation more strongly than the usual monotone since the usual one does not increase on average under LOCC. We propose new strong monotones in mixed-state entanglement manipulation under LOCC. These are related to the decomposability and 1-positivity of an operator constructed from a quantum state, and reveal geometrical characteristics of entangled states. These are lower bounded by the negativity or generalized robustness of entanglement.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 07:04:14 GMT" }, { "version": "v2", "created": "Tue, 9 May 2006 04:38:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Ishizaka", "Satoshi", "" ] ]
quant-ph/0603163
Richard Jozsa
Richard Jozsa
On the simulation of quantum circuits
12 pages, latex
null
null
null
quant-ph
null
We consider recent works on the simulation of quantum circuits using the formalism of matrix product states and the formalism of contracting tensor networks. We provide simplified direct proofs of many of these results, extending an explicit class of efficiently simulable circuits (log depth circuits with 2-qubit gates of limited range) to the following: let C be any poly sized quantum circuit (generally of poly depth too) on n qubits comprising 1- and 2- qubit gates and 1-qubit measurements (with 2-qubit gates acting on arbitrary pairs of qubit lines). For each qubit line j let D_j be the number of 2-qubit gates that touch or cross the line j i.e. the number of 2-qubit gates that are applied to qubits i,k with i \leq j \leq k. Let D=max_j D_j. Then the quantum process can be classically simulated in time n poly(2^D). Thus if D=O(log n) then C may be efficiently classically simulated.
[ { "version": "v1", "created": "Sun, 19 Mar 2006 12:18:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Jozsa", "Richard", "" ] ]
quant-ph/0603164
Lajos Di\'osi
Lajos Diosi
Continuous Wave Function Collapse in Quantum-Electrodynamics?
Invited talk at Conf. "On the present status of quantum mechanics", 7-9 September, 2005, Mali Losinj, Croatia
null
10.1063/1.2219358
null
quant-ph
null
Time-continuous wavefunction collapse mechanisms n o t restricted to markovian approximation have been found only a few years ago, and have left many issues open. The results apply formally to the standard relativistic quantum-electrodynamics. I present a generalized Schrodinger equation driven by a certain complex stochastic field. The equation reproduces the e x a c t dynamics of the interacting fermions in QED. The state of the fermions appears to collapse continuously, due to their interaction with the photonic degrees of freedom. Even the formal study is instructive for the foundations of quantum mechanics and of field theory as well.
[ { "version": "v1", "created": "Sun, 19 Mar 2006 14:29:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Diosi", "Lajos", "" ] ]
quant-ph/0603165
Olimpia Lombardi
Mario Castagnino
The equilibrium limit of the Casati-Prosen model
6 pages, no figures
null
10.1016/j.physleta.2006.04.024
null
quant-ph
null
An alternative explanation of the decoherence in the Casati-Prosen model is presented. It is based on the Self Induced Decoherence formalism extended to non-integrable systems.
[ { "version": "v1", "created": "Sun, 19 Mar 2006 20:28:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Castagnino", "Mario", "" ] ]
quant-ph/0603166
Mario Ziman
Mario Ziman
Quantum process tomography: the role of initial correlations
7 pages, comments welcome, references added
null
null
null
quant-ph
null
We address the problem of quantum process tomography with the preparators producing states correlated with the environmental degrees of freedom that play role in the system-environment interactions. We discuss the physical situations, in which the dynamics is described by nonlinear, or noncompletely positive transformations. In particular, we show that arbitrary mapping $\varrho_{\rm in}\to\varrho_{\rm out}$ can be realized by using appropriate set of preparators and applying the unitary operation SWAP. The experimental ``realization'' of perfect NOT operation is presented. We address the problem of the verification of the compatibility of the preparator devices with the estimating process. The evolution map describing the dynamics in arbitrary time interval is known not to be completely positive, but still linear. The tomography and general properties of these maps are discussed.
[ { "version": "v1", "created": "Sun, 19 Mar 2006 23:56:53 GMT" }, { "version": "v2", "created": "Fri, 24 Mar 2006 00:12:34 GMT" }, { "version": "v3", "created": "Fri, 1 Sep 2006 15:32:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Ziman", "Mario", "" ] ]
quant-ph/0603167
Fabio Antonio Bovino
F.A. Bovino, M. Giardina, K. Svozil and V. Vedral
Spatial Orientation using Quantum Telepathy
null
null
null
null
quant-ph
null
We implemented the protocol of entanglement assisted orientation in the space proposed by Brukner et al (quant-ph/0603167). We used min-max principle to evaluate the optimal entangled state and the optimal direction of polarization measurements which violate the classical bound.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 19:39:58 GMT" }, { "version": "v2", "created": "Wed, 29 Mar 2006 11:08:32 GMT" }, { "version": "v3", "created": "Mon, 10 Apr 2006 23:48:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Bovino", "F. A.", "" ], [ "Giardina", "M.", "" ], [ "Svozil", "K.", "" ], [ "Vedral", "V.", "" ] ]
quant-ph/0603168
Giulio Chiribella
G. Chiribella and G. M. D'Ariano
Extremal covariant measurements
11 pages, no figures
J. Math. Phys. 47, 092107 (2006)
10.1063/1.2349481
null
quant-ph
null
We characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally non-transitive. In this case the POVM density is made of multiple orbits of positive operators, and, in the case of extremal measurements, we provide a bound for the number of orbits and for the rank of POVM elements. Two relevant applications are considered, concerning state discrimination with mutually unbiased bases and the maximization of the mutual information.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 11:02:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Chiribella", "G.", "" ], [ "D'Ariano", "G. M.", "" ] ]
quant-ph/0603169
Kordian A. Smolinski
P. Caban, J. Rembielinski, K. A. Smolinski, Z. Walczak, M. Wlodarczyk
An open quantum system approach to EPR correlations in K0-K0 system
14 pp. no figs
Phys.Lett. A357 (2006) 6-11
10.1016/j.physleta.2006.04.102
null
quant-ph
null
We find the time evolution of the system of two non-interacting unstable particles, distinguishable as well as identical ones, in arbitrary reference frame having only the Kraus operators governing the evolution of its components in the rest frame. We than calculate in the rigorous way Einstein-Podolsky-Rosen quantum correlation functions for K0-K0 system in the singlet state taking into account CP-violation and decoherence and show that the results are exactly the same despite the fact we treat kaons as distinguishable or identical particles which means that the statistics of the particles plays no role, at least in considered cases.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 12:59:57 GMT" } ]
2010-04-05T00:00:00
[ [ "Caban", "P.", "" ], [ "Rembielinski", "J.", "" ], [ "Smolinski", "K. A.", "" ], [ "Walczak", "Z.", "" ], [ "Wlodarczyk", "M.", "" ] ]
quant-ph/0603170
Thomas Curtright
Thomas Curtright, Luca Mezincescu, and David Schuster
Supersymmetric Biorthogonal Quantum Systems
Changes are made to conform to the published version. In particular, some errors are corrected on pp 12-13
J.Math.Phys.48:092108,2007
10.1063/1.2191367
null
quant-ph hep-th math-ph math.MP
null
We discuss supersymmetric biorthogonal systems, with emphasis given to the periodic solutions that occur at spectral singularities of PT symmetric models. For these periodic solutions, the dual functions are associated polynomials that obey inhomogeneous equations. We construct in detail some explicit examples for the supersymmetric pairs of potentials V_{+/-}(z) = -U(z)^2 +/- z(d/(dz))U(z) where U(z) = \sum_{k>0}u_{k}z^{k}. In particular, we consider the cases generated by U(z) = z and z/(1-z). We also briefly consider the effects of magnetic vector potentials on the partition functions of these systems.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 14:25:10 GMT" }, { "version": "v2", "created": "Sun, 26 Aug 2007 22:18:33 GMT" } ]
2008-11-26T00:00:00
[ [ "Curtright", "Thomas", "" ], [ "Mezincescu", "Luca", "" ], [ "Schuster", "David", "" ] ]
quant-ph/0603171
Luca Marinatto
GianCarlo Ghirardi and Luca Marinatto
Hardy's criterion of nonlocality for mixed states
7 pages, RevTex
Phys. Rev. A 73, 032102 (2006)
10.1103/PhysRevA.73.032102
null
quant-ph
null
We generalize Hardy's proof of nonlocality to the case of bipartite mixed statistical operators, and we exhibit a necessary condition which has to be satisfied by any given mixed state $\sigma$ in order that a local and realistic hidden variable model exists which accounts for the quantum mechanical predictions implied by $\sigma$. Failure of this condition will imply both the impossibility of any local explanation of certain joint probability distributions in terms of hidden variables and the nonseparability of the considered mixed statistical operator. Our result can be also used to determine the maximum amount of noise, arising from imperfect experimental implementations of the original Hardy's proof of nonlocality, in presence of which it is still possible to put into evidence the nonlocal features of certain mixed states.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 15:56:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghirardi", "GianCarlo", "" ], [ "Marinatto", "Luca", "" ] ]
quant-ph/0603172
Sandro Sozzo
Claudio Garola and Sandro Sozzo
On the Notion of Proposition in Classical and Quantum Mechanics
22 pages. To appear in "The Foundations of Quantum Mechanics: Historical Analysis and Open Questions-Cesena 2004", C. Garola, A. Rossi and S. Sozzo Eds., World Scientific, Singapore, 2006
null
null
null
quant-ph
null
The term proposition usually denotes in quantum mechanics (QM) an element of (standard) quantum logic (QL). Within the orthodox interpretation of QM the propositions of QL cannot be associated with sentences of a language stating properties of individual samples of a physical system, since properties are nonobjective in QM. This makes the interpretation of propositions problematical. The difficulty can be removed by adopting the objective interpretation of QM proposed by one of the authors (semantic realism, or SR, interpretation). In this case, a unified perspective can be adopted for QM and classical mechanics (CM), and a simple first order predicate calculus L(x) with Tarskian semantics can be constructed such that one can associate a physical proposition (i.e., a set of physical states) with every sentence of L(x). The set $P^{f}$ of all physical propositions is partially ordered and contains a subset $P^{f}_{T}$ of testable physical propositions whose order structure depends on the criteria of testability established by the physical theory. In particular, $P^{f}_{T}$ turns out to be a Boolean lattice in CM, while it can be identified with QL in QM. Hence the propositions of QL can be associated with sentences of L(x), or also with the sentences of a suitable quantum language $L_{TQ}(x)$, and the structure of QL characterizes the notion of testability in QM. One can then show that the notion of quantum truth does not conflict with the classical notion of truth within this perspective. Furthermore, the interpretation of QL propounded here proves to be equivalent to a previous pragmatic interpretation worked out by one of the authors, and can be embodied within a more general perspective which considers states as first order predicates of a broader language with a Kripkean semantics.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 16:09:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Garola", "Claudio", "" ], [ "Sozzo", "Sandro", "" ] ]
quant-ph/0603173
Julia Kempe
Dmytro Gavinsky, Julia Kempe, Ronald de Wolf
Strengths and Weaknesses of Quantum Fingerprinting
13 pages, no figures, to appear in CCC'06
Proc. 21st CCC (Complexity), p. 288-295 (2006)
null
null
quant-ph cs.CC
null
We study the power of quantum fingerprints in the simultaneous message passing (SMP) setting of communication complexity. Yao recently showed how to simulate, with exponential overhead, classical shared-randomness SMP protocols by means of quantum SMP protocols without shared randomness ($Q^\parallel$-protocols). Our first result is to extend Yao's simulation to the strongest possible model: every many-round quantum protocol with unlimited shared entanglement can be simulated, with exponential overhead, by $Q^\parallel$-protocols. We apply our technique to obtain an efficient $Q^\parallel$-protocol for a function which cannot be efficiently solved through more restricted simulations. Second, we tightly characterize the power of the quantum fingerprinting technique by making a connection to arrangements of homogeneous halfspaces with maximal margin. These arrangements have been well studied in computational learning theory, and we use some strong results obtained in this area to exhibit weaknesses of quantum fingerprinting. In particular, this implies that for almost all functions, quantum fingerprinting protocols are exponentially worse than classical deterministic SMP protocols.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 16:13:53 GMT" } ]
2022-03-29T00:00:00
[ [ "Gavinsky", "Dmytro", "" ], [ "Kempe", "Julia", "" ], [ "de Wolf", "Ronald", "" ] ]
quant-ph/0603174
Jaromir Fiurasek
Lucie Bartuskova, Antonin Cernoch, Radim Filip, Jaromir Fiurasek, Jan Soubusta, Miloslav Dusek
Optical implementation of the encoding of two qubits to a single qutrit
6 pages, 3 figures, RevTeX 4
Phys. Rev. A 74, 022325 (2006).
10.1103/PhysRevA.74.022325
null
quant-ph
null
We have devised an optical scheme for the recently proposed protocol for encoding two qubits into one qutrit. In this protocol, Alice encodes an arbitrary pure product state of two qubits into a state of one qutrit. Bob can then restore error-free any of the two encoded qubit states but not both of them simultaneously. We have successfully realized this scheme experimentally using spatial-mode encoding. Each qubit (qutrit) was represented by a single photon that could propagate through two (three) separate fibers. We theoretically propose two generalizations of the original protocol. We have found a probabilistic operation that enables to retrieve both qubits simultaneously with the average fidelity above 90% and we have proposed extension of the original encoding transformation to encode N qubits into one (N+1)-dimensional system.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 16:49:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Bartuskova", "Lucie", "" ], [ "Cernoch", "Antonin", "" ], [ "Filip", "Radim", "" ], [ "Fiurasek", "Jaromir", "" ], [ "Soubusta", "Jan", "" ], [ "Dusek", "Miloslav", "" ] ]
quant-ph/0603175
Sabine Jansen
Sabine Jansen, Mary-Beth Ruskai, Ruedi Seiler
Bounds for the adiabatic approximation with applications to quantum computation
15 pages, one figure. Two comments added in Secs. 2 and 5
J. Math. Phys. 48, 102111 (2007)
10.1063/1.2798382
null
quant-ph
null
We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of interest in quantum computing.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 17:07:32 GMT" }, { "version": "v2", "created": "Fri, 31 Mar 2006 17:07:41 GMT" }, { "version": "v3", "created": "Thu, 8 Nov 2007 18:46:44 GMT" } ]
2007-11-08T00:00:00
[ [ "Jansen", "Sabine", "" ], [ "Ruskai", "Mary-Beth", "" ], [ "Seiler", "Ruedi", "" ] ]
quant-ph/0603176
R. de la Madrid
R. de la Madrid
The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part I
34 pages, 1 figure
J. Phys. A: Math. Gen. 39 (2006) 3949-3979
10.1088/0305-4470/39/15/008
null
quant-ph hep-th math-ph math.MP
null
We exemplify the way the rigged Hilbert space deals with the Lippmann-Schwinger equation by way of the spherical shell potential. We explicitly construct the Lippmann-Schwinger bras and kets along with their energy representation, their time evolution and the rigged Hilbert spaces to which they belong. It will be concluded that the natural setting for the solutions of the Lippmann-Schwinger equation--and therefore for scattering theory--is the rigged Hilbert space rather than just the Hilbert space.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 20:12:45 GMT" } ]
2009-11-13T00:00:00
[ [ "de la Madrid", "R.", "" ] ]
quant-ph/0603177
R. de la Madrid
R. de la Madrid
The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets
32 pages, 3 figures
J. Phys. A: Math. Gen. 39 (2006) 3981-4009
10.1088/0305-4470/39/15/009
null
quant-ph hep-th math-ph math.MP
null
The analytic continuation of the Lippmann-Schwinger bras and kets is obtained and characterized. It is shown that the natural mathematical setting for the analytic continuation of the solutions of the Lippmann-Schwinger equation is the rigged Hilbert space rather than just the Hilbert space. It is also argued that this analytic continuation entails the imposition of a time asymmetric boundary condition upon the group time evolution, resulting into a semigroup time evolution. Physically, the semigroup time evolution is simply a (retarded or advanced) propagator.
[ { "version": "v1", "created": "Mon, 20 Mar 2006 20:13:26 GMT" } ]
2009-11-13T00:00:00
[ [ "de la Madrid", "R.", "" ] ]
quant-ph/0603178
Chengming Bai
Cheng-Ming Bai, Mo-Lin Ge, Kang Xue, Hong-Biao Zhang
Yangian and Applications
33pages, 1 figure
null
null
null
quant-ph
null
In this paper, the Yangian relations are tremendously simplified for Yangians associated to SU(2), SU(3), SO(5) and SO(6) based on RTT relations that much benefit the realization of Yangian in physics. The physical meaning and some applications of Yangian have been shown.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 01:45:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Bai", "Cheng-Ming", "" ], [ "Ge", "Mo-Lin", "" ], [ "Xue", "Kang", "" ], [ "Zhang", "Hong-Biao", "" ] ]
quant-ph/0603179
Man-Hong Yung
Man-Hong Yung
Quantum Speed Limit for Perfect State Transfer in One Dimension
5 pages, no figure; improved version
Phys. Rev. A 74, 030303(R) (2006)
10.1103/PhysRevA.74.030303
null
quant-ph
null
The basic idea of spin chain engineering for perfect quantum state transfer (QST) is to find a set of coupling constants in the Hamiltonian, such that a particular state initially encoded on one site will evolve freely to the opposite site without any dynamical controls. The minimal possible evolution time represents a speed limit for QST. We prove that the optimal solution is the one simulating the precession of a spin in a static magnetic field. We also argue that, at least for solid-state systems where interactions are local, it is more realistic to characterize the computation power by the couplings than the initial energy.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 02:18:25 GMT" }, { "version": "v2", "created": "Tue, 2 May 2006 04:23:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Yung", "Man-Hong", "" ] ]
quant-ph/0603180
Fabiano Sutter de Oliveira
Fabiano Sutter de Oliveira
Factorization of large numbers and the suggestion of an algorithm
9 pages, 1 figure
null
null
null
quant-ph
null
In this paper, we intend to present a new algorithm to factorize large numbers. According to the algorithm proposed here, we prove that there is a common factor between p and q. With this procedure, the time of factorization considerably decreases. The algorithm is based on a graphic representation and, when the corresponding graph is drawn, coordinate pairs will originate two straight lines that intercept one another. These coordinate pairs are formed by prime numbers in the x-axis, and factors in the y-axis, including the factor in common.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 03:30:13 GMT" } ]
2007-05-23T00:00:00
[ [ "de Oliveira", "Fabiano Sutter", "" ] ]
quant-ph/0603181
Mehmet Ko\c{c}ak
B. Gonul
A search on the Klein-Gordon equation
8 pages, no figures
CHIN. PHYS.LETT. 23 (2006) 2640
10.1088/0256-307X/23/10/005
null
quant-ph
null
The s-wave Klein-Gordon equation for the bound states is separated in two parts to see clearly the relativistic contributions to the solution in the non-relativistic limit. The reliability of the model is discussed with the specifically chosen two examples.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 09:46:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Gonul", "B.", "" ] ]
quant-ph/0603182
Andrea Aiello
A. Aiello, G. Puentes, D. Voigt, and J. P. Woerdman
Maximally entangled mixed states made easy
6 pages, 3 figures
null
null
null
quant-ph
null
We show that it is possible to achieve maximally entangled mixed states of two qubits from the singlet state via the action of local non-trace-preserving quantum channels. Moreover, we present a simple, feasible linear optical implementation of one of such channels.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 12:14:24 GMT" }, { "version": "v2", "created": "Thu, 6 Apr 2006 08:36:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Aiello", "A.", "" ], [ "Puentes", "G.", "" ], [ "Voigt", "D.", "" ], [ "Woerdman", "J. P.", "" ] ]
quant-ph/0603183
Diogenes Galetti
D. Galetti
Quantum description of spin tunneling in magnetic molecules: a new view
26 pages, 7 figures, submitted to Physica A
null
null
null
quant-ph
null
Starting from a phenomenological Hamiltonian originally written in terms of angular momentum operators we derive a new quantum angle-based Hamiltonian that allows for a discussion on the quantum spin tunneling. The study of the applicability of the present approach, carried out in calculations with a soluble quasi-spin model, shows that we are allowed to use our method in the description of physical systems such as the Mn12-acetate molecule, as well as the octanuclear iron cluster, Fe8, in a reliable way. With the present description the interpretation of the spin tunneling is seen to be direct, the spectra and energy barriers of those systems are obtained, and it is shown that they agree with the experimental ones.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 14:37:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Galetti", "D.", "" ] ]
quant-ph/0603184
Igor Jex
J. Novotny, G. Alber, I. Jex
Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs
14 pages, 2 figures
null
10.1103/PhysRevA.73.062311
null
quant-ph
null
The structure of all completely positive quantum operations is investigated which transform pure two-qubit input states of a given degree of entanglement in a covariant way. Special cases thereof are quantum NOT operations which transform entangled pure two-qubit input states of a given degree of entanglement into orthogonal states in an optimal way. Based on our general analysis all covariant optimal two-qubit quantum NOT operations are determined. In particular, it is demonstrated that only in the case of maximally entangled input states these quantum NOT operations can be performed perfectly.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 16:51:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Novotny", "J.", "" ], [ "Alber", "G.", "" ], [ "Jex", "I.", "" ] ]
quant-ph/0603185
Thomas Salzburger
Thomas Salzburger Helmut Ritsch
Lasing and cooling in a hot cavity
11 pages, 6 figures
null
10.1103/PhysRevA.74.033806
null
quant-ph
null
We present a microscopic laser model for many atoms coupled to a single cavity mode, including the light forces resulting from atom-field momentum exchange. Within a semiclassical description, we solve the equations for atomic motion and internal dynamics to obtain analytic expressions for the optical potential and friction force seen by each atom. When optical gain is maximum at frequencies where the light field extracts kinetic energy from the atomic motion, the dynamics combines optical lasing and motional cooling. From the corresponding momentum diffusion coefficient we predict sub-Doppler temperatures in the stationary state. This generalizes the theory of cavity enhanced laser cooling to active cavity systems. We identify the gain induced reduction of the effective resonator linewidth as key origin for the faster cooling and lower temperatures, which implys that a bad cavity with a gain medium can replace a high-Q cavity. In addition, this shows the importance of light forces for gas lasers in the low-temperature limit, where atoms can arrange in a periodic pattern maximizing gain and counteracting spatial hole burning. Ultimately, in the low temperature limit, such a setup should allow to combine optical lasing and atom lasing in single device.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 19:17:15 GMT" } ]
2007-12-18T00:00:00
[ [ "Ritsch", "Thomas Salzburger Helmut", "" ] ]
quant-ph/0603186
Mattias Marklund
M. Marklund, B. Eliasson, P. K. Shukla, L. Stenflo, M. E. Dieckmann, and M. Parviainen
Electrostatic pair creation and recombination in quantum plasmas
4 pages, 3 figures, to appear in JETP Letters
JETP Lett. 83, 313, 2006
10.1134/S0021364006080030
null
quant-ph
null
The collective production of electron-positron pairs by electrostatic waves in quantum plasmas is investigated. In particular, a semi-classical governing set of equation for a self-consistent treatment of pair creation by the Schwinger mechanism in a quantum plasma is derived.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 20:19:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Marklund", "M.", "" ], [ "Eliasson", "B.", "" ], [ "Shukla", "P. K.", "" ], [ "Stenflo", "L.", "" ], [ "Dieckmann", "M. E.", "" ], [ "Parviainen", "M.", "" ] ]
quant-ph/0603187
Pavel Yu. Moshin
B.L. Voronov, D.M. Gitman, I.V. Tyutin
Self-adjoint differential operators assosiated with self-adjoint differential expressions
91 pages
null
null
Publicacao IFUSP-1619/2006
quant-ph hep-th math-ph math.MP
null
Considerable attention has been recently focused on quantum-mechanical systems with boundaries and/or singular potentials for which the construction of physical observables as self-adjoint (s.a.) operators is a nontrivial problem. We present a comparative review of various methods of specifying ordinary s.a. differential operators generated by formally s.a. differential expressions based on the general theory of s.a. extensions of symmetric operators. The exposition is untraditional and is based on the concept of asymmetry forms generated by adjoint operators. The main attention is given to a specification of s.a. extensions by s.a. boundary conditions. All the methods are illustrated by examples of quantum-mechanical observables like momentum and Hamiltonian. In addition to the conventional methods, we propose a possible alternative way of specifying s.a. differential operators by explicit s.a. boundary conditions that generally have an asymptotic form for singular boundaries. A comparative advantage of the method is that it allows avoiding an evaluation of deficient subspaces and deficiency indices. The effectiveness of the method is illustrated by a number of examples of quantum-mechanical observables.
[ { "version": "v1", "created": "Tue, 21 Mar 2006 21:24:39 GMT" }, { "version": "v2", "created": "Thu, 23 Mar 2006 22:15:07 GMT" } ]
2007-05-23T00:00:00
[ [ "Voronov", "B. L.", "" ], [ "Gitman", "D. M.", "" ], [ "Tyutin", "I. V.", "" ] ]
quant-ph/0603188
Farhan Saif
Shahid Iqbal, Qurat-ul-Ann and Farhan Saif
Quantum Recurrences in Driven Power-law Potentials
null
null
10.1016/j.physleta.2006.03.046
null
quant-ph
null
The recurrence phenomena of an initially well localized wave packet are studied in periodically driven power-law potentials. For our general study we divide the potentials in two kinds, namely tightly binding and loosely binding potentials. In the presence of an external periodically modulating force, these potentials may exhibit classical and quantum chaos. The dynamics of a quantum wave packet in the modulated potentials displays recurrences at various time scales. We develop general analytical relations for these times and discuss their parametric dependence.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 01:20:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Iqbal", "Shahid", "" ], [ "Qurat-ul-Ann", "", "" ], [ "Saif", "Farhan", "" ] ]
quant-ph/0603189
Dominic William Berry
Dominic W. Berry and Howard M. Wiseman
Adaptive phase measurements for narrowband squeezed beams
13 pages, 7 figures
Phys. Rev. A 73, 063824 (2006)
10.1103/PhysRevA.73.063824
null
quant-ph
null
We have previously [Phys. Rev. A 65, 043803 (2002)] analyzed adaptive measurements for estimating the continuously varying phase of a coherent beam, and a broadband squeezed beam. A real squeezed beam must have finite photon flux N and hence can be significantly squeezed only over a limited frequency range. In this paper we analyze adaptive phase measurements of this type for a realistic model of a squeezed beam. We show that, provided it is possible to suitably choose the parameters of the beam, a mean-square phase uncertainty scaling as (N/kappa)^{-5/8} is possible, where kappa is the linewidth of the beam resulting from the fluctuating phase. This is an improvement over the (N/kappa)^{-1/2} scaling found previously for coherent beams. In the experimentally realistic case where there is a limit on the maximum squeezing possible, the variance will be reduced below that for coherent beams, though the scaling is unchanged.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 07:17:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Berry", "Dominic W.", "" ], [ "Wiseman", "Howard M.", "" ] ]
quant-ph/0603190
Nan-yow Chen
Zheng-Yao Su
A Scheme of Cartan Decomposition for su(N)
An extension of the talk in Annual Conf. PSROC 2006
null
null
null
quant-ph
null
A scheme to perform the Cartan decomposition for the Lie algebra su(N) of arbitrary finite dimensions is introduced. The schme is based on two algebraic structures, the conjugate partition and the quotient algebra, that are easily generated by a Cartan subalgebra and generally exist in su(N). In particular, the Lie algebras su(2^p) and every su(2^{p-1} < N < 2^p) share the isomorphic structure of the quotient algebra. This structure enables an efficient algorithm for the recursive and exhaustive construction of Cartan decompositions. Further with the scheme, a unitary transformation in SU(N) can be recursively decomposed into a product of certain designated operators, e.g., local and nonlocal gates. Such a recursive decomposition of a transformation implies an evolution path on the manifold of the group.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 10:53:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Su", "Zheng-Yao", "" ] ]
quant-ph/0603191
Pascal Degiovanni
Tristan Meunier (KI-NANO), Arnaud Le Diffon (Phys-ENS), Cl\'ement Rueff (Phys-ENS), Pascal Degiovanni (Phys-ENS), Jean-Michel Raimond (LKB - Lhomond)
Entanglement and decoherence of N atoms and a mesoscopic field in a cavity
13 figures
Physical Review A 74 (2006) 033802
10.1103/PhysRevA.74.033802
null
quant-ph cond-mat.mes-hall
null
We investigate the behavior of N atoms resonantly coupled to a single electromagnetic field mode sustained by a high quality cavity, containing a mesoscopic coherent field. We show with a simple effective hamiltonian model that the strong coupling between the cavity and the atoms produces an atom-field entangled state, involving N+1 nearly-coherent components slowly rotating at different paces in the phase plane. The periodic overlap of these components results in a complex collapse and revival pattern for the Rabi oscillation. We study the influence of decoherence due to the finite cavity quality factor. We propose a simple analytical model, based on the Monte Carlo approach to relaxation. We compare its predictions with exact calculations and show that these interesting effects could realistically be observed on a two or three atoms sample in a 15 photons field with circular Rydberg atoms and superconducting cavities.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 13:09:01 GMT" }, { "version": "v2", "created": "Mon, 11 Sep 2006 09:04:31 GMT" } ]
2016-08-16T00:00:00
[ [ "Meunier", "Tristan", "", "KI-NANO" ], [ "Diffon", "Arnaud Le", "", "Phys-ENS" ], [ "Rueff", "Clément", "", "Phys-ENS" ], [ "Degiovanni", "Pascal", "", "Phys-ENS" ], [ "Raimond", "Jean-Michel", "", "LKB -\n Lhomond" ] ]
quant-ph/0603192
Matthias Staudt U.
Matthias U. Staudt, Sara R. Hastings-Simon, Mikael Afzelius, Didier Jaccard, Wolfgang Tittel, Nicolas Gisin
Investigations of Optical Coherence Properties in an Erbium-doped Silicate Fiber for Quantum State Storage
null
Optics Communications 266 (2006) 720-726
10.1016/j.optcom.2006.05.007
null
quant-ph
null
We studied optical coherence properties of the 1.53 $\mu$m telecommunication transition in an Er$^{3+}$-doped silicate optical fiber through spectral holeburning and photon echoes. We find decoherence times of up to 3.8 $\mu$s at a magnetic field of 2.2 Tesla and a temperature of 150 mK. A strong magnetic-field dependent optical dephasing was observed and is believed to arise from an interaction between the electronic Er$^{3+}$ spin and the magnetic moment of tunneling modes in the glass. Furthermore, we observed fine-structure in the Erbium holeburning spectrum originating from superhyperfine interaction with $^{27}$Al host nuclei. Our results show that Er$^{3+}$-doped silicate fibers are promising material candidates for quantum state storage.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 13:57:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Staudt", "Matthias U.", "" ], [ "Hastings-Simon", "Sara R.", "" ], [ "Afzelius", "Mikael", "" ], [ "Jaccard", "Didier", "" ], [ "Tittel", "Wolfgang", "" ], [ "Gisin", "Nicolas", "" ] ]
quant-ph/0603193
Stefan Yoshi Buhmann
Stefan Yoshi Buhmann, Hassan Safari, Dirk-Gunnar Welsch, and Ho Trung Dung
Microscopic origin of Casimir-Polder forces
10 pages, 0 figures
Open Systems and Information Dynamics 13 (4), 427 (2006)
10.1007/s11080-006-9024-0
null
quant-ph
null
We establish a general relation between dispersion forces. First, based on QED in causal media, leading-order perturbation theory is used to express both the single-atom Casimir-Polder and the two-atom van der Waals potentials in terms of the atomic polarizabilities and the Green tensor for the body-assisted electromagnetic field. Endowed with this geometry-independent framework, we then employ the Born expansion of the Green tensor together with the Clausius-Mosotti relation to prove that the macroscopic Casimir-Polder potential of an atom in the presence of dielectric bodies is due to an infinite sum of its microscopic many-atom van der Waals interactions with the atoms comprising the bodies. This theorem holds for inhomogeneous, dispersing, and absorbing bodies of arbitrary shapes and arbitrary atomic composition on an arbitrary background of additional magnetodielectric bodies.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 13:45:36 GMT" }, { "version": "v2", "created": "Tue, 12 Jun 2007 08:12:34 GMT" } ]
2007-06-12T00:00:00
[ [ "Buhmann", "Stefan Yoshi", "" ], [ "Safari", "Hassan", "" ], [ "Welsch", "Dirk-Gunnar", "" ], [ "Dung", "Ho Trung", "" ] ]
quant-ph/0603194
Sara Hastings-Simon
Sara R. Hastings-Simon, Matthias U. Staudt, Mikael Afzelius, Pascal Baldi, Didier Jaccard, Wolfgang Tittel, Nicolas Gisin
Controlled Stark shifts in Er$^{3+}$-doped crystalline and amorphous waveguides for quantum state storage
4 pages, 2 figures v2. typo in formula corrected
null
10.1016/j.optcom.2006.05.003
null
quant-ph
null
We present measurements of the linear Stark effect on the $^{4}$I$_{15/2} \to$ $^{4}$I$_{13/2}$ transition in an Er$^{3+}$-doped proton-exchanged LiNbO$_{3}$ crystalline waveguide and an Er$^{3+}$-doped silicate fiber. The measurements were made using spectral hole burning techniques at temperatures below 4 K. We measured an effective Stark coefficient $(\Delta\mu_{e}\chi)/(h)=25\pm1$kHz/Vcm$^{-1}$ in the crystalline waveguide and $(\bar{\Delta\mu_{e}}\chi)/(h)=15\pm1$kHz/Vcm$^{-1}$ in the silicate fiber. These results confirm the potential of Erbium doped waveguides for quantum state storage based on controlled reversible inhomogeneous broadening.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 13:46:34 GMT" }, { "version": "v2", "created": "Wed, 29 Mar 2006 08:15:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Hastings-Simon", "Sara R.", "" ], [ "Staudt", "Matthias U.", "" ], [ "Afzelius", "Mikael", "" ], [ "Baldi", "Pascal", "" ], [ "Jaccard", "Didier", "" ], [ "Tittel", "Wolfgang", "" ], [ "Gisin", "Nicolas", "" ] ]
quant-ph/0603195
Daniel Segal
J.R. Castrejon-Pita, H. Ohadi, D.R. Crick, D.F.A. Winters, D.M. Segal and R.C. Thompson
Novel designs for Penning ion traps
11 pages, 10 figures
null
null
null
quant-ph
null
We present a number of alternative designs for Penning ion traps suitable for quantum information processing (QIP) applications with atomic ions. The first trap design is a simple array of long straight wires which allows easy optical access. A prototype of this trap has been built to trap Ca+ and a simple electronic detection scheme has been employed to demonstrate the operation of the trap. Another trap design consists of a conducting plate with a hole in it situated above a continuous conducting plane. The final trap design is based on an array of pad electrodes. Although this trap design lacks the open geometry of the traps described above, the pad design may prove useful in a hybrid scheme in which information processing and qubit storage take place in different types of trap. The behaviour of the pad traps is simulated numerically and techniques for moving ions rapidly between traps are discussed. Future experiments with these various designs are discussed. All of the designs lend themselves to the construction of multiple trap arrays, as required for scalable ion trap QIP.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 14:50:14 GMT" } ]
2022-04-26T00:00:00
[ [ "Castrejon-Pita", "J. R.", "" ], [ "Ohadi", "H.", "" ], [ "Crick", "D. R.", "" ], [ "Winters", "D. F. A.", "" ], [ "Segal", "D. M.", "" ], [ "Thompson", "R. C.", "" ] ]
quant-ph/0603196
Luca Marinatto
GianCarlo Ghirardi and Luca Marinatto
Greenberger-Horne-Zeilinger argument of nonlocality without inequalities for mixed states
8 pages, RevTex; added references, corrected typos
Physical Review A 74, 1 (2006)
10.1103/PhysRevA.74.022101
null
quant-ph
null
We generalize the Greenberger-Horne-Zeilinger nonlocality without inequalities argument to cover the case of arbitrary mixed statistical operators associated to three-qubits quantum systems. More precisely, we determine the radius of a ball (in the trace distance topology) surrounding the pure GHZ state and containing arbitrary mixed statistical operators which cannot be described by any local and realistic hidden variable model and which are, as a consequence, noncompletely separable. As a practical application, we focus on certain one-parameter classes of mixed states which are commonly considered in the experimental realization of the original GHZ argument and which result from imperfect preparations of the pure GHZ state. In these cases we determine for which values of the parameter controlling the noise a nonlocality argument can still be exhibited, despite the mixedness of the considered states. Moreover, the effect of the imperfect nature of measurement processes is discussed.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 15:14:39 GMT" }, { "version": "v2", "created": "Wed, 19 Jul 2006 13:15:02 GMT" }, { "version": "v3", "created": "Tue, 8 Aug 2006 14:31:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghirardi", "GianCarlo", "" ], [ "Marinatto", "Luca", "" ] ]
quant-ph/0603197
Aurelien Dantan
Aurelien Dantan (LCFIO), Jean Cviklinski (LKB - Jussieu), Elisabeth Giacobino (LKB - Jussieu), Michel Pinard (LKB - Jussieu)
Spin-Squeezing and Light Entanglement in Coherent Population Trapping
4 pages, 5 figures
Physical Review Letters 97 (2006) 023605
10.1103/PhysRevLett.97.023605
null
quant-ph
null
We show that high squeezing and entanglement can be generated at the output of a cavity containing atoms interacting with two fields in a Coherent Population Trapping situation, on account of a non-linear Faraday effect experienced by the fields close to a dark-state resonance in a cavity. Moreover, the cavity provides a feedback mechanism allowing to reduce the quantum fluctuations of the ground state spin, resulting in strong steady state spin-squeezing.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 16:35:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Dantan", "Aurelien", "", "LCFIO" ], [ "Cviklinski", "Jean", "", "LKB - Jussieu" ], [ "Giacobino", "Elisabeth", "", "LKB - Jussieu" ], [ "Pinard", "Michel", "", "LKB - Jussieu" ] ]
quant-ph/0603198
Gennadiy Burlak
G.Burlak, A.Klimov
Asymmetrical two-atom entanglement in a coated microsphere
null
null
10.1016/j.physleta.2006.08.004
null
quant-ph
null
We study evolution of entanglement of two two-level atoms placed inside a multilayered microsphere. We show that due to inhomogeneity of the field modes this entanglement essentially depends on the atomic positions (asymmetrical entanglement) and also on the detuning between the atomic transitions and field frequencies. The robust and complete entanglement can be achieved even in the resonant case when the atoms have different effective coupling constants, and it can be extended in time if the detuning is large enough. We study analytically the lossless case and estimate numerically the effect of dissipative processes.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 18:43:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Burlak", "G.", "" ], [ "Klimov", "A.", "" ] ]
quant-ph/0603199
Lawrence Ioannou
Lawrence M. Ioannou
Computational complexity of the quantum separability problem
null
Quantum Information and Computation, Vol. 7, No. 4 (2007) 335-370
null
null
quant-ph cs.CC
null
Ever since entanglement was identified as a computational and cryptographic resource, researchers have sought efficient ways to tell whether a given density matrix represents an unentangled, or separable, state. This paper gives the first systematic and comprehensive treatment of this (bipartite) quantum separability problem, focusing on its deterministic (as opposed to randomized) computational complexity. First, I review the one-sided tests for separability, paying particular attention to the semidefinite programming methods. Then, I discuss various ways of formulating the quantum separability problem, from exact to approximate formulations, the latter of which are the paper's main focus. I then give a thorough treatment of the problem's relationship with the complexity classes NP, NP-complete, and co-NP. I also discuss extensions of Gurvits' NP-hardness result to strong NP-hardness of certain related problems. A major open question is whether the NP-contained formulation (QSEP) of the quantum separability problem is Karp-NP-complete; QSEP may be the first natural example of a problem that is Turing-NP-complete but not Karp-NP-complete. Finally, I survey all the proposed (deterministic) algorithms for the quantum separability problem, including the bounded search for symmetric extensions (via semidefinite programming), based on the recent quantum de Finetti theorem; and the entanglement-witness search (via interior-point algorithms and global optimization). These two algorithms have the lowest complexity, with the latter being the best under advice of asymptotically optimal point-coverings of the sphere.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 18:54:54 GMT" }, { "version": "v2", "created": "Mon, 27 Mar 2006 17:44:43 GMT" }, { "version": "v3", "created": "Tue, 28 Mar 2006 10:02:20 GMT" }, { "version": "v4", "created": "Tue, 18 Jul 2006 10:06:50 GMT" }, { "version": "v5", "created": "Fri, 21 Jul 2006 15:09:55 GMT" }, { "version": "v6", "created": "Thu, 18 Jan 2007 16:42:31 GMT" }, { "version": "v7", "created": "Wed, 31 Jan 2007 13:20:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Ioannou", "Lawrence M.", "" ] ]
quant-ph/0603200
Gondran Alexandre
Michel Gondran and Alexandre Gondran
A Crucial Experiment To Test The Broglie-Bohm Trajectories For Indistinguishable Particles
5 pages, 5 figures, submitted to Physical Review A
null
null
null
quant-ph
null
The standard quantum theory has not taken into account the size of quantum particles, the latter being implicitly treated as material points. The recent interference experiments of Zeilinger [3] with large molecules like fullerenes and the thought experiments of Bozic et al [7] with asymmetrical Young slits make it possible today to take into account the particle size. We present here a complete study of this phenomenon where our simulations show differences between the particles density after the slits and the modulus square of the wave function. Then we propose a crucial experiment that allows us to reconsider the wave-particle duality and to test the existence of the Broglie-Bohm trajectories for indistinguishable particles.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 21:22:20 GMT" }, { "version": "v2", "created": "Thu, 30 Mar 2006 08:49:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Gondran", "Michel", "" ], [ "Gondran", "Alexandre", "" ] ]
quant-ph/0603201
Marek Zukowski
Marek Zukowski
On tight multiparty Bell inequalities for many settings
to be published in Quant. Inf. Proc., an extended version will be given soon
null
null
null
quant-ph
null
A derivation method is given which leads to a series of tight Bell inequalities for experiments involving N parties, with binary observables, and three possible local settings. The approach can be generalized to more settings. Ramifications are presented.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 21:34:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Zukowski", "Marek", "" ] ]
quant-ph/0603202
Olaf Dreyer
Olaf Dreyer
Emergent Probabilities in Quantum Mechanics
null
null
null
null
quant-ph hep-th
null
The transition from the quantum to the classical is governed by randomizing devices (RD), i.e., dynamical systems that are very sensitive to the environment. We show that, in the presence of RDs, the usual arguments based on the linearity of quantum mechanics that lead to the measurement problem do not apply. RDs are the source of probabilities in quantum mechanics. Hence, the reason for probabilities in quantum mechanics is the same as the reason for probabilities in other parts of physics, namely our ignorance of the state of the environment. This should not be confused with decoherence. The environment here plays several, equally important roles: it is the dump for energy and entropy of the RD, it puts the RD close to its transition point and it is the reason for probabilities in quantum mechanics. We show that, even though the state of the environment is unknown, the probabilities can be calculated and are given by the Born rule. We then discuss what this view of quantum mechanics means for the search of a quantum theory of gravity.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 21:40:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Dreyer", "Olaf", "" ] ]
quant-ph/0603203
Alexander E. Meyerovich
A. E. Meyerovich (University of Rhode Island), V. V. Nesvizhevsky (ILL, Grenoble)
Gravitational quantum states of neutrons in a rough waveguide
48 pages, 14 figures
null
10.1103/PhysRevA.73.063616
null
quant-ph
null
A theory of gravitational quantum states of ultracold neutrons in waveguides with absorbing/scattering walls is presented. The theory covers recent experiments in which the ultracold neutrons were beamed between a mirror and a rough scatterer/absorber. The analysis is based on a recently developed theory of quantum transport along random rough walls which is modified in order to include leaky (absorbing) interfaces and, more importantly, the low-amplitude high-aperture roughness. The calculations are focused on a regime when the direct transitions into the continuous spectrum above the absorption threshold dominate the depletion of neutrons from the gravitational states and are more efficient than the processes involving the intermediate states. The theoretical results for the neutron count are sensitive to the correlation radius (lateral size) of surface inhomogeneities and to the ratio of the particle energy to the absorption threshold in a weak roughness limit. The main impediment for observation of the higher gravitational states is the "overhang" of the particle wave functions which can be overcome only by use scatterers with strong roughness. In general, the strong roughness with high amplitude is preferable if one wants just to detect the individual gravitational states, while the strong roughness experiments with small amplitude and high aperture are preferable for the quantitative analysis of the data. We also discuss the ways to further improve the accuracy of calculations and to optimize the experimental regime.
[ { "version": "v1", "created": "Wed, 22 Mar 2006 22:38:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Meyerovich", "A. E.", "", "University of Rhode Island" ], [ "Nesvizhevsky", "V. V.", "", "ILL, Grenoble" ] ]
quant-ph/0603204
Dafa Li
D. Li, J. P. Chen, X. Li, H. Huang, X. Li
Performance of Equal Phase-Shift Search for One Iteration
10 pages, 4 figures
EPJD (European physical journal D) vol. 45, (2007) pp.335-340
10.1140/epjd/e2007-00247-9
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Grover presented the phase-shift search by replacing the selective inversions by selective phase shifts of $\pi /3$. In this paper, we investigate the phase-shift search with general equal phase shifts. We show that for small uncertainties, the failure probability of the Phase-$\pi /3$ search is smaller than the general phase-shift search and for large uncertainties, the success probability of the large phase-shift search is larger than the Phase-$\pi /3$ search. Therefore, the large phase-shift search is suitable for large-size of databases.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 03:35:48 GMT" }, { "version": "v2", "created": "Sat, 6 Jan 2007 04:01:07 GMT" }, { "version": "v3", "created": "Wed, 16 Dec 2009 02:36:54 GMT" } ]
2009-12-16T00:00:00
[ [ "Li", "D.", "" ], [ "Chen", "J. P.", "" ], [ "Li", "X.", "" ], [ "Huang", "H.", "" ], [ "Li", "X.", "" ] ]
quant-ph/0603205
Ramazan Sever
Sameer M. Ikhdair and Ramazan Sever
A perturbative treatment for the bound states of the Hellmann potential
25 pages
THEOCHEM 809, 103 (2007)
null
null
quant-ph
null
A new approximation formalism is applied to study the bound states of the Hellmann potential, which represents the superposition of the attractive Coulomb potential $-a/r$ and the Yukawa potential $b\exp (-\delta r)/r$ of arbitrary strength $b$ and screening parameter $\delta $. Although the analytic expressions for the energy eigenvalues $E_{n,l\text{}}$ yield quite accurate results for a wide range of $n,\ell $ in the limit of very weak screening, the results become gradually worse as the strength $b$ and the screening coefficient $\delta $ increase. This is because that the expansion parameter is not sufficiently small enough to guarantee the convergence of the expansion series for the energy levels.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 09:12:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0603206
Metod Saniga
Metod Saniga (ASTRINSTSAV), Michel Planat (FCEMTO), Milan Minarovjech (ASTRINSTSAV)
The Projective Line Over the Finite Quotient Ring GF(2)[$x$]/$< x^{3} - x>$ and Quantum Entanglement II. The Mermin "Magic" Square/Pentagram
6 pages, 5 figures
Theoretical and Mathematical Physics 151 (2007) 625-631
10.1007/s11232-007-0049-5
null
quant-ph math-ph math.MP
null
In 1993, Mermin (Rev. Mod. Phys. 65, 803--815) gave lucid and strikingly simple proofs of the Bell-Kochen-Specker (BKS) theorem in Hilbert spaces of dimensions four and eight by making use of what has since been referred to as the Mermin(-Peres) "magic square" and the Mermin pentagram, respectively. The former is a $3 \times 3$ array of nine observables commuting pairwise in each row and column and arranged so that their product properties contradict those of the assigned eigenvalues. The latter is a set of ten observables arranged in five groups of four lying along five edges of the pentagram and characterized by similar contradiction. An interesting one-to-one correspondence between the operators of the Mermin-Peres square and the points of the projective line over the product ring ${\rm GF}(2) \otimes \rm{GF}(2)$ is established. Under this mapping, the concept "mutually commuting" translates into "mutually distant" and the distinguishing character of the third column's observables has its counterpart in the distinguished properties of the coordinates of the corresponding points, whose entries are both either zero-divisors, or units. The ten operators of the Mermin pentagram answer to a specific subset of points of the line over GF(2)[$x$]/$<x^{3} - x>$. The situation here is, however, more intricate as there are two different configurations that seem to serve equally well our purpose. The first one comprises the three distinguished points of the (sub)line over GF(2), their three "Jacobson" counterparts and the four points whose both coordinates are zero-divisors; the other features the neighbourhood of the point ($1, 0$) (or, equivalently, that of ($0, 1$)). Some other ring lines that might be relevant for BKS proofs in higher dimensions are also mentioned.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 10:01:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Saniga", "Metod", "", "ASTRINSTSAV" ], [ "Planat", "Michel", "", "FCEMTO" ], [ "Minarovjech", "Milan", "", "ASTRINSTSAV" ] ]
quant-ph/0603207
Hrvoje Nikolic
H. Nikolic
Many-fingered time Bohmian mechanics
7 pages
null
null
null
quant-ph gr-qc hep-th
null
The many-fingered time (MFT) formulation of many-particle quantum mechanics and quantum field theory is a natural framework that overcomes the problem of "instantaneous collapse" in entangled systems that exhibit nonlocalities. The corresponding Bohmian interpretation can also be formulated in terms of MFT beables, which alleviates the problem of instantaneous action at a distance by using an ontology that differs from that in the standard Bohmian interpretation. The appearance of usual single-time particle-positions and fields is recovered by quantum measurements.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 11:17:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Nikolic", "H.", "" ] ]
quant-ph/0603208
Johannes Kofler
Johannes Kofler and Caslav Brukner
Entanglement distribution revealed by macroscopic observations
4 pages, 2 figures, revised and published version
Phys. Rev. A 74, 050304(R) (2006)
10.1103/PhysRevA.74.050304
null
quant-ph
null
What can we learn about entanglement between individual particles in macroscopic samples by observing only the collective properties of the ensembles? Using only a few experimentally feasible collective properties, we establish an entanglement measure between two samples of spin-1/2 particles (as representatives of two-dimensional quantum systems). This is a tight lower bound for the average entanglement between all pairs of spins in general and is equal to the average entanglement for a certain class of systems. We compute the entanglement measures for explicit examples and show how to generalize the method to more than two samples and multi-partite entanglement.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 13:11:45 GMT" }, { "version": "v2", "created": "Fri, 17 Nov 2006 10:38:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Kofler", "Johannes", "" ], [ "Brukner", "Caslav", "" ] ]
quant-ph/0603209
Pramod Joag
Ali Ahanj and Pramod Joag
Communication cost of simulating quantum correlations in a class of integer spin singlet states
6 pages no figures sequential to quant-ph/0603053
null
null
null
quant-ph
null
We give a classical protocol to exactly simulate quantum correlations implied by a spin $s$ singlet state for the infinite sequence of \textit{integer} spin $s={1,4,13,...}$ satisfying $(2s+1)=3^{n}$,where $n$ is a positive integer.The required amount of communication is found to increase as $log_{3}d^{2}$ where $d=2s+1$ is the dimension of the spin $s$ Hilbert space.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 14:59:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Ahanj", "Ali", "" ], [ "Joag", "Pramod", "" ] ]
quant-ph/0603210
Bin Shang
Bin Shang
A summary on two new algorithms for Grover's unsorted database search problem
2 pages. LaTex revtex4. APS twocolumn
null
null
null
quant-ph
null
In this summary we discuss two new algorithms for Grover's unsorted database search problem that claimed to have reached exponential speedup over Grover's original algorithm. One is in the quantum setting with "power queries" that allow for exponential reduction in the number of queries over Grover's original algorithm with "bit queries". The other is to use "dubit queries" on a duality computer - a new computing model uses a quantum system's wave-particle duality, which is able to achieve even greater computing power and better capability than existent quantum computers we have been discussing. We discuss the shortages and difficulties of both schemes as well.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 15:59:02 GMT" }, { "version": "v2", "created": "Sat, 8 Apr 2006 06:56:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Shang", "Bin", "" ] ]
quant-ph/0603211
Hernando Efrain Caicedo Ortiz
H. E. Caicedo-Ortiz and S. T. Perez-Merchancano
Exchange Energy in Coupled Quantum Dots
4 pages, 4 figures, Accepted for publication in Brazilian Journal of Physics
Brazilian Journal of Physics, vol. 36, no. 3B, September, 2006
10.1590/S0103-97332006000600020
null
quant-ph
null
In this work, the exchange energy J for a system of two laterally-coupled quantum dots, each one with an electron, is calculated analytically and in a detailed form, considering them as hydrogen-like atoms, under the Heitler-London approach. The atomic orbitals, associated to each quantum dot, are obtained from translation relations, as functions of the Fock-Darwin states. Our results agree with the reported ones by Burkard, Loss and DiVincenzo in their model of quantum gates based on quantum dots, as well as with some recent experimental reports.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 16:21:33 GMT" }, { "version": "v2", "created": "Fri, 23 Jun 2006 03:00:11 GMT" } ]
2015-06-26T00:00:00
[ [ "Caicedo-Ortiz", "H. E.", "" ], [ "Perez-Merchancano", "S. T.", "" ] ]
quant-ph/0603212
Ra\'ul Oscar Vallejos
Raul O. Vallejos, P. R. del Santoro, and A. M. Ozorio de Almeida
Quantum baker maps with controlled-NOT coupling
8 pages
null
10.1088/0305-4470/39/18/028
null
quant-ph
null
The characteristic stretching and squeezing of chaotic motion is linearized within the finite number of phase space domains which subdivide a classical baker map. Tensor products of such maps are also chaotic, but a more interesting generalized baker map arises if the stacking orders for the factor maps are allowed to interact. These maps are readily quantized, in such a way that the stacking interaction is entirely attributed to primary qubits in each map, if each subsystem has power-of-two Hilbert space dimension. We here study the particular example of two baker maps that interact via a controlled-not interaction. Numerical evidence indicates that the control subspace becomes an ideal Markovian environment for the target map in the limit of large Hilbert space dimension.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 16:52:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Vallejos", "Raul O.", "" ], [ "del Santoro", "P. R.", "" ], [ "de Almeida", "A. M. Ozorio", "" ] ]
quant-ph/0603213
Gustavo Garcia Rigolin
Goren Gordon, Gustavo Rigolin
Generalized Quantum State Sharing
4 pages, 2 figures, RevTex4, Published version
Phys. Rev. A 73, 062316 (2006)
10.1103/PhysRevA.73.062316
null
quant-ph
null
We present two quantum state sharing protocols where the channels are not maximally entangled states. By properly choosing the measurement basis it is possible to achieve unity fidelity transfer of the state if the parties collaborate. We also show that contrary to the protocols where we have maximally entangled channels these protocols are probabilistic. We then compare the efficiency of both protocols and sketch the generalization of the protocols to N parties.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 17:25:06 GMT" }, { "version": "v2", "created": "Tue, 13 Jun 2006 12:30:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Gordon", "Goren", "" ], [ "Rigolin", "Gustavo", "" ] ]
quant-ph/0603214
Mikio Kozuma
Takahito Tanimura, Daisuke Akamatsu, Yoshihiko Yokoi, Akira Furusawa, and Mikio Kozuma
Generation of a squeezed vacuum resonant on Rubidium D_1 line with periodically-poled KTiOPO_4
4 pages, 4 figures
Optics Letters 31, 2344 (2006).
10.1364/OL.31.002344
null
quant-ph
null
We report generation of a continuous-wave squeezed vacuum resonant on the Rb D_1 line (795 nm) using periodically poled KTiOPO_4 (PPKTP) crystals. With a frequency doubler and an optical parametric oscillator based on PPKTP crystals, we observed a squeezing level of -2.75 +- 0.14 dB and an anti-squeezing level of +7.00 +- 0.13 dB. This system could be utilized for demonstrating storage and retrieval of the squeezed vacuum, which is important for the ultra-precise measurement of atomic spins as well as quantum information processing.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 18:05:40 GMT" } ]
2015-06-26T00:00:00
[ [ "Tanimura", "Takahito", "" ], [ "Akamatsu", "Daisuke", "" ], [ "Yokoi", "Yoshihiko", "" ], [ "Furusawa", "Akira", "" ], [ "Kozuma", "Mikio", "" ] ]
quant-ph/0603215
Gustavo Garcia Rigolin
Gustavo Rigolin, Thiago R. de Oliveira, Marcos C. de Oliveira
Operational Classification and Quantification of Multipartite Entangled States
14 pages, RevTex4, published version
Phys. Rev. A 74, 022314 (2006)
10.1103/PhysRevA.74.022314
null
quant-ph
null
We formalize and extend an operational multipartite entanglement measure introduced by T. R. Oliveira, G. Rigolin, and M. C. de Oliveira, Phys. Rev. A 73, 010305(R) (2006), through the generalization of global entanglement (GE) [D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273 (2002)]. Contrarily to GE the main feature of this measure lies in the fact that we study the mean linear entropy of all possible partitions of a multipartite system. This allows the construction of an operational multipartite entanglement measure which is able to distinguish among different multipartite entangled states that GE failed to discriminate. Furthermore, it is also maximum at the critical point of the Ising chain in a transverse magnetic field, being thus able to detect a quantum phase transition.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 18:33:57 GMT" }, { "version": "v2", "created": "Tue, 2 May 2006 18:51:12 GMT" }, { "version": "v3", "created": "Mon, 21 Aug 2006 14:42:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Rigolin", "Gustavo", "" ], [ "de Oliveira", "Thiago R.", "" ], [ "de Oliveira", "Marcos C.", "" ] ]
quant-ph/0603216
Jean-Claude Garreau
Julien Chab\'e (PhLAM, CERLA), Hans Lignier (PhLAM, CERLA), Pascal Szriftgiser (PhLAM, CERLA), Jean Claude Garreau (PhLAM, CERLA)
Improving Raman velocimetry of laser-cooled cesium atoms by spin-polarization
12 pages, 6 figures, Elsevier style, to appear in Opt. Commun
Optics Communications 274, 1 (01/06/2007) 254-259
10.1016/j.optcom.2007.02.008
null
quant-ph cond-mat.other physics.atom-ph physics.optics
null
We study the peformances of Raman velocimetry applied to laser-cooled, spin-polarized, cesium atoms. Atoms are optically pumped into the F=4, m=0 ground-state Zeeman sublevel, which is insensitive to magnetic perturbations. High resolution Raman stimulated spectroscopy is shown to produce Fourier-limited lines, allowing, in realistic experimental conditions, atomic velocity selection to one-fiftieth of a recoil velocity.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 18:34:06 GMT" }, { "version": "v2", "created": "Sun, 4 Feb 2007 17:49:16 GMT" } ]
2016-08-16T00:00:00
[ [ "Chabé", "Julien", "", "PhLAM, CERLA" ], [ "Lignier", "Hans", "", "PhLAM, CERLA" ], [ "Szriftgiser", "Pascal", "", "PhLAM, CERLA" ], [ "Garreau", "Jean Claude", "", "PhLAM, CERLA" ] ]
quant-ph/0603217
Hartmut Haeffner
H. Haeffner, W. Haensel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Koerber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. G\"uhne, W. D\"ur, R. Blatt
Scalable multi-particle entanglement of trapped ions
null
Nature 438, 643-646 (2005)
10.1038/nature04279
null
quant-ph
null
Among the various kinds of entangled states, the 'W state' plays an important role as its entanglement is maximally persistent and robust even under particle loss. Such states are central as a resource in quantum information processing and multiparty quantum communication. Here we report the scalable and deterministic generation of four-, five-, six-, seven- and eight-particle entangled states of the W type with trapped ions. We obtain the maximum possible information on these states by performing full characterization via state tomography, using individual control and detection of the ions. A detailed analysis proves that the entanglement is genuine. The availability of such multiparticle entangled states, together with full information in the form of their density matrices, creates a test-bed for theoretical studies of multiparticle entanglement. Independently, -Greenberger-Horne-Zeilinger- entangled states with up to six ions have been created and analysed in Boulder.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 18:41:24 GMT" } ]
2009-09-29T00:00:00
[ [ "Haeffner", "H.", "" ], [ "Haensel", "W.", "" ], [ "Roos", "C. F.", "" ], [ "Benhelm", "J.", "" ], [ "Chek-al-kar", "D.", "" ], [ "Chwalla", "M.", "" ], [ "Koerber", "T.", "" ], [ "Rapol", "U. D.", "" ], [ "Riebe", "M.", "" ], [ "Schmidt", "P. O.", "" ], [ "Becher", "C.", "" ], [ "Gühne", "O.", "" ], [ "Dür", "W.", "" ], [ "Blatt", "R.", "" ] ]
quant-ph/0603218
Martin Weitz
Leon Karpa and Martin Weitz
A Stern-Gerlach experiment for slow light
11 pages, 3 figures. Nature Physics 2, 332 (2006)
null
10.1038/nphys284
null
quant-ph cond-mat.soft physics.atom-ph
null
Electromagnetically induced transparency allows for light transmission through dense atomic media by means of quantum interference. Media exhibiting electromagnetically induced transparency have very interesting properties, such as extremely slow group velocities. Associated with the slow light propagation are quasiparticles, the so-called dark polaritons, which are mixtures of a photonic and an atomic contribution. We here demonstrate that these excitations behave as particles with a nonzero magnetic moment, which is in clear contrast to the properties of a free photon. It is found that light passing through a rubidium gas cell under the conditions of electromagnetically induced transparency is deflected by a small magnetic field gradient. The deflection angle is proportional to the optical propagation time through the cell. The observed beam deflection can be understood by assuming that dark state polaritons have an effective magnetic moment. Our experiment can be described in terms of a Stern-Gerlach experiment for the polaritons.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 19:05:47 GMT" }, { "version": "v2", "created": "Mon, 19 Feb 2007 17:11:28 GMT" } ]
2015-06-26T00:00:00
[ [ "Karpa", "Leon", "" ], [ "Weitz", "Martin", "" ] ]
quant-ph/0603219
J.M. Geremia
JM Geremia
A Deterministic and Nondestructively-Verifiable Photon Number Source
null
null
10.1103/PhysRevLett.97.073601
null
quant-ph
null
We present a deterministic approach based on continuous measurement and real-time quantum feedback control to prepare arbitrary photon number states of a cavity mode. The procedure passively monitors the number state actually achieved in each feedback stabilized measurement trajectory, thus providing a nondestructively verifiable photon source. The feasibility of a possible cavity QED implementation in the many-atom good-cavity coupling regime is analyzed.
[ { "version": "v1", "created": "Thu, 23 Mar 2006 19:35:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Geremia", "JM", "" ] ]
quant-ph/0603220
Xifeng Ren
Xi-Feng Ren, Guo-Ping Guo, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo
Plasmon assisted transmission of high dimensional orbital angular momentum entangled state
7 pages,6 figures
Published in Europhysics Letters, Volume 76, 753, 2006
10.1209/epl/i2006-10359-2
null
quant-ph
null
We present an experimental evidence that high dimensional orbital angular momentum entanglement of a pair of photons can be survived after a photon-plasmon-photon conversion. The information of spatial modes can be coherently transmitted by surface plasmons. This experiment primarily studies the high dimensional entangled systems based on surface plasmon with subwavelength structures. It maybe useful in the investigation of spatial mode properties of surface plasmon assisted transmission through subwavelength hole arrays.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 01:12:44 GMT" }, { "version": "v2", "created": "Thu, 7 Dec 2006 02:07:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Ren", "Xi-Feng", "" ], [ "Guo", "Guo-Ping", "" ], [ "Huang", "Yun-Feng", "" ], [ "Li", "Chuan-Feng", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0603221
Darrick E. Chang
D.E. Chang, A.S. Sorensen, P.R. Hemmer, and M.D. Lukin
Strong coupling of single emitters to surface plasmons
34 pages, 7 figures
null
10.1103/PhysRevB.76.035420
null
quant-ph
null
We propose a method that enables strong, coherent coupling between individual optical emitters and electromagnetic excitations in conducting nano-structures. The excitations are optical plasmons that can be localized to sub-wavelength dimensions. Under realistic conditions, the tight confinement causes optical emission to be almost entirely directed into the propagating plasmon modes via a mechanism analogous to cavity quantum electrodynamics. We first illustrate this result for the case of a nanowire, before considering the optimized geometry of a nanotip. We describe an application of this technique involving efficient single-photon generation on demand, in which the plasmons are efficiently out-coupled to a dielectric waveguide. Finally we analyze the effects of increased scattering due to surface roughness on these nano-structures.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 01:33:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Chang", "D. E.", "" ], [ "Sorensen", "A. S.", "" ], [ "Hemmer", "P. R.", "" ], [ "Lukin", "M. D.", "" ] ]
quant-ph/0603222
Z. D. Wang
Li-Xiang Cen, Z. D. Wang, and S. J. Wang
Scalable solid-state quantum computation in decoherence-free subspaces with trapped ions
4 pages, 1 figure
null
10.1103/PhysRevA.74.032321
null
quant-ph
null
We propose a decoherence-free subspaces (DFS) scheme to realize scalable quantum computation with trapped ions. The spin-dependent Coulomb interaction is exploited, and the universal set of unconventional geometric quantum gates is achieved in encoded subspaces that are immune from decoherence by collective dephasing. The scalability of the scheme for the ion array system is demonstrated, either by an adiabatic way of switching on and off the interactions, or by a fast gate scheme with comprehensive DFS encoding and noise decoupling techniques.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 12:45:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Cen", "Li-Xiang", "" ], [ "Wang", "Z. D.", "" ], [ "Wang", "S. J.", "" ] ]
quant-ph/0603223
Vahid Karimipour
V. Karimipour and L. Memarzadeh
Transition behavior in the capacity of correlated-noisy channels in arbitrary dimensions
11 pages, Latex, 4 figures, Accepted for publication in Physical Review A
Phys. Rev. A 74, 032332 (2006).
10.1103/PhysRevA.74.032332
null
quant-ph
null
We construct a class of quantum channels in arbitrary dimensions for which entanglement improves the performance of the channel. The channels have correlated noise and when the level of correlation passes a critical value we see a sharp transition in the optimal input states (states which minimize the output entropy) from separable to maximally entangled states. We show that for a subclass of channels with some extra conditions, including the examples which we consider, the states which minimize the output entropy are the ones which maximize the mutual information.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 14:54:50 GMT" }, { "version": "v2", "created": "Thu, 20 Jul 2006 19:49:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Karimipour", "V.", "" ], [ "Memarzadeh", "L.", "" ] ]
quant-ph/0603224
Michael R. Geller
Michael R. Geller, Emily J. Pritchett, Andrew T. Sornborger, and F. K. Wilhelm
Quantum computing with superconductors I: Architectures
NATO ASI book chapter, 24 pages
null
null
null
quant-ph
null
Josephson junctions have demonstrated enormous potential as qubits for scalable quantum computing architectures. Here we discuss the current approaches for making multi-qubit circuits and performing quantum information processing with them.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 15:04:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Geller", "Michael R.", "" ], [ "Pritchett", "Emily J.", "" ], [ "Sornborger", "Andrew T.", "" ], [ "Wilhelm", "F. K.", "" ] ]
quant-ph/0603225
Lucas Lamata
Lucas Lamata, Juan Leon, David Salgado
Spin entanglement loss by local correlation transfer to the momentum
7 pages and 7 figures. Accepted in PRA
Phys. Rev. A 73, 052325 (2006)
10.1103/PhysRevA.73.052325
null
quant-ph
null
We show the decrease of spin-spin entanglement between two s=1/2 fermions or two photons due to local transfer of correlations from the spin to the momentum degree of freedom of one of the two particles. We explicitly show how this phenomenon operates in the case where one of the two fermions (photons) passes through a local homogeneous magnetic field (optically-active medium), losing its spin correlations with the other particle.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 15:40:55 GMT" }, { "version": "v2", "created": "Thu, 1 Jun 2006 08:28:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Lamata", "Lucas", "" ], [ "Leon", "Juan", "" ], [ "Salgado", "David", "" ] ]
quant-ph/0603226
Daniel E. Browne
Dan E. Browne and Hans J. Briegel
One-way Quantum Computation - a tutorial introduction
22 pages, a tutorial book chapter with a number of new methods and observations. Minor errors corrected and a few additional references added
null
null
null
quant-ph
null
In this book chapter, we provide a tutorial introduction to one-way quantum computation and many of the techniques one can use to understand it. The techniques which are described include the stabilizer formalism and the logical Heisenberg picture. We highlight ways in which it is useful to understand one-way computation beyond simple equivalence with the quantum circuit model. We briefly review current proposals of implementations and experimental progress and summarize some recent related theoretical developments. Although the chapter is primarily didactic in focus, we include a number of new methods and observations. These include: a simpler and more compact formulation of one-way quantum computation in the stabilizer formalism; A new way of implementing unitaries diagonal in the computational basis; New results on the family of operations which may be implemented in a single round of measurements; A method for constructing compact one-way patterns by decomposing unitaries in terms of diagonal unitaries and Clifford group transformations.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 18:08:41 GMT" }, { "version": "v2", "created": "Tue, 3 Oct 2006 15:27:56 GMT" } ]
2016-09-08T00:00:00
[ [ "Browne", "Dan E.", "" ], [ "Briegel", "Hans J.", "" ] ]
quant-ph/0603227
Dmitry Kamenev
D. I. Kamenev, G. P. Berman, and V. I. Tsifrinovich
Creation of entanglement in a scalable spin quantum computer with long-range dipole-dipole interaction between qubits
31 pages
null
10.1103/PhysRevA.73.062336
null
quant-ph
null
Creation of entanglement is considered theoretically and numerically in an ensemble of spin chains with dipole-dipole interaction between the spins. The unwanted effect of the long-range dipole interaction is compensated by the optimal choice of the parameters of radio-frequency pulses implementing the protocol. The errors caused by (i) the influence of the environment,(ii) non-selective excitations, (iii) influence of different spin chains on each other, (iv) displacements of qubits from their perfect locations, and (v) fluctuations of the external magnetic field are estimated analytically and calculated numerically. For the perfectly entangled state the z component, M, of the magnetization of the whole system is equal to zero. The errors lead to a finite value of M. If the number of qubits in the system is large, M can be detected experimentally. Using the fact that M depends differently on the parameters of the system for each kind of error, varying these parameters would allow one to experimentally determine the most significant source of errors and to optimize correspondingly the quantum computer design in order to decrease the errors and M. Using our approach one can benchmark the quantum computer, decrease the errors, and prepare the quantum computer for implementation of more complex quantum algorithms.
[ { "version": "v1", "created": "Fri, 24 Mar 2006 21:13:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Kamenev", "D. I.", "" ], [ "Berman", "G. P.", "" ], [ "Tsifrinovich", "V. I.", "" ] ]
quant-ph/0603228
Jian-Ming Cai
Jian-Ming Cai, Zheng-Wei Zhou, Guang-Can Guo
Decoherence effects on the quantum spin channels
Revised version accepted in PRA
Phys. Rev. A. 74, 022328 (2006).
10.1103/PhysRevA.74.022328
null
quant-ph
null
An open ended spin chain can serves as a quantum data bus for the coherent transfer of quantum state information. In this paper, we investigate the efficiency of such quantum spin channels which work in a decoherence environment. Our results show that, the decoherence will significantly reduce the fidelity of quantum communication through the spin channels. Generally speaking, as the distance increases, the decoherence effects become more serious, which will put some constraints on the spin chains for long distance quantum state transfer.
[ { "version": "v1", "created": "Sat, 25 Mar 2006 02:26:33 GMT" }, { "version": "v2", "created": "Wed, 5 Apr 2006 14:21:13 GMT" }, { "version": "v3", "created": "Sun, 11 Jun 2006 23:58:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Cai", "Jian-Ming", "" ], [ "Zhou", "Zheng-Wei", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0603229
Per Kristian Rekdal
Per Kristian Rekdal, Bo-Sture K. Skagerstam, Ulrich Hohenester, Asier Eiguren
Spin Decoherence in Superconducting Atom Chips
4 pages, 2 figures. Physical Review Letters (in press)
null
null
null
quant-ph cond-mat.soft
null
Using a consistent quantum-mechanical treatment for the electromagnetic radiation, we theoretically investigate the magnetic spin-flip scatterings of a neutral two-level atom trapped in the vicinity of a superconducting body. We derive a simple scaling law for the corresponding spin-flip lifetime for such an atom trapped near a superconducting thick slab. For temperatures below the superconducting transition temperature T_c, the lifetime is found to be enhanced by several orders of magnitude in comparison to the case of a normal conducting slab. At zero temperature the spin-flip lifetime is given by the unbounded free-space value.
[ { "version": "v1", "created": "Sat, 25 Mar 2006 18:44:55 GMT" }, { "version": "v2", "created": "Fri, 7 Jul 2006 17:10:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Rekdal", "Per Kristian", "" ], [ "Skagerstam", "Bo-Sture K.", "" ], [ "Hohenester", "Ulrich", "" ], [ "Eiguren", "Asier", "" ] ]
quant-ph/0603230
Andis ChiTung Kwan
Xiangdong Li, Lin Leung, Andis Chi-Tung Kwan, Xiaowen Zhang, Dammika Kahanda, Michael Anshel
Post-Quantum Key Exchange Protocols
11 pages, 2 figures. Submitted to SPIE DSS 2006; v2 citation typos fixed; v3 appendix typos corrected
Proc. of SPIE Vol.6244, 62440N, (2006)
10.1117/12.665685
null
quant-ph
null
If an eavesdropper Eve is equipped with quantum computers, she can easily break the public key exchange protocols used today. In this paper we will discuss the post-quantum Diffie-Hellman key exchange and private key exchange protocols.
[ { "version": "v1", "created": "Sat, 25 Mar 2006 20:44:42 GMT" }, { "version": "v2", "created": "Sun, 4 Jun 2006 22:34:07 GMT" }, { "version": "v3", "created": "Fri, 20 Oct 2006 14:12:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Li", "Xiangdong", "" ], [ "Leung", "Lin", "" ], [ "Kwan", "Andis Chi-Tung", "" ], [ "Zhang", "Xiaowen", "" ], [ "Kahanda", "Dammika", "" ], [ "Anshel", "Michael", "" ] ]
quant-ph/0603231
John Cooper w
John W. Cooper
Deutsch and Jozsa's Algorithm Revisited
7 pages
null
null
null
quant-ph
null
A classical analogue of Deutsch and Jozsa's algorithm is given and its implications on quantum computing is discussed
[ { "version": "v1", "created": "Mon, 27 Mar 2006 18:21:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Cooper", "John W.", "" ] ]
quant-ph/0603232
Mariana Kirchbach
C. B. Compean, M. Kirchbach
The Quantum Mechanics Problem of the Schroedinger Equation with the Trigonometric Rosen-Morse Potential
10 pages, 6 figures
null
null
null
quant-ph
null
We present the quantum mechanics problem of the one-dimensional Schroedinger equation with the trigonometric Rosen-Morse potential. This potential is of possible interest to quark physics in so far as it captures the essentials of the QCD quark-gluon dynamics and (i) interpolates between a Coulomb-like potential (associated with one-gluon exchange) and the infinite wall potential (associated with asymptotic freedom), (ii) reproduces in the intermediary region the linear confinement potential (associated with multi-gluon self-interactions) as established by lattice QCD calculations of hadron properties. Moreover, its exact real solutions given here display a new class of real orthogonal polynomials and thereby interesting mathematical entities in their own.
[ { "version": "v1", "created": "Sun, 26 Mar 2006 18:18:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Compean", "C. B.", "" ], [ "Kirchbach", "M.", "" ] ]
quant-ph/0603233
Yatendra Jain
Yatendra S. Jain
Wave Mechanics of Two Hard Core Quantum Particles in 1-D Box
12 pages, no figure
Central European J. Phys. 2(4) 2004, 709-719
10.2478/BF02475571
null
quant-ph
null
The wave mechanics of two impenetrable hard core particles in 1-D box is analyzed. Each particle in the box behaves like an independent entity represented by a {\it macro-orbital} (a kind of pair waveform). While the expectation value of their interaction, $<V_{HC}(x)>$, vanishes for every state of two particles, the expectation value of their relative separation, $<x>$, satisfies $<x> \ge \lambda/2$ (or $q \ge \pi/d$, with $2d = L$ being the size of the box). The particles in their ground state define a close-packed arrangement of their wave packets (with $<x> = \lambda/2$, phase position separation $\Delta\phi = 2\pi$ and momentum $|q_o| = \pi/d$) and experience a mutual repulsive force ({\it zero point repulsion}) $f_o = h^2/2md^3$ which also tries to expand the box. While the relative dynamics of two particles in their excited states represents usual collisional motion, the same in their ground state becomes collisionless. These results have great significance in determining the correct microscopic understanding of widely different many body systems.
[ { "version": "v1", "created": "Sun, 26 Mar 2006 08:43:28 GMT" } ]
2015-06-26T00:00:00
[ [ "Jain", "Yatendra S.", "" ] ]
quant-ph/0603234
Rainer Plaga
R.Plaga
A fundamental threat to quantum cryptography: gravitational attacks
Eur. Phys. J. D (2006), in print
Eur. Phys. J. D 38, 409-413 (2006)
10.1140/epjd/e2006-00045-y
null
quant-ph
null
An attack on the ``Bennett-Brassard 84''(BB84) quantum key-exchange protocol in which Eve exploits the action of gravitation to infer information about the quantum-mechanical state of the qubit exchanged between Alice and Bob, is described. It is demonstrated that the known laws of physics do not allow to describe the attack. Without making assumptions that are not based on broad consensus, the laws of quantum gravity, unknown up to now, would be needed even for an approximate treatment. Therefore, it is currently not possible to predict with any confidence if information gained in this attack will allow to break BB84. Contrary to previous belief, a proof of the perfect security of BB84 cannot be based on the assumption that the known laws of physics are strictly correct, yet.
[ { "version": "v1", "created": "Sun, 26 Mar 2006 09:05:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Plaga", "R.", "" ] ]
quant-ph/0603235
Eliahu Comay
E. Comay
The Yukawa Lagrangian Density is Inconsistent with the Hamiltonian
7 pages, 1 figure
null
null
2832-2006
quant-ph
null
It is proved that no Hamiltonian exists for the real Klein-Gordon field used in the Yukawa interaction. The experimental side supports this conclusion.
[ { "version": "v1", "created": "Sun, 26 Mar 2006 10:58:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Comay", "E.", "" ] ]
quant-ph/0603236
Jian Wang
Jian Wang, Quan Zhang, Chao-jing Tang
Quantum secure communication protocols based on entanglement swapping
null
null
null
null
quant-ph
null
We present a quantum secure direct communication protocol and a multiparty quantum secret sharing protocol based on Einstein-Podolsky-Rosen pairs and entanglement swapping. The present quantum secure direct communication protocol makes use of the ideal of block transmission. We also point out that the sender can encode his or her secret message without ensuring the security of the quantum channel firstly. In the multiparty quantum secret sharing protocol, the communication parties adopt checking mode or encoding mode with a certain probability. It is not necessary for the protocol to perform local unitary operation. In both the protocols, one party transmits only one photon for each Einstein-Podolsky-Rosen pair to another party and the security for the transmitting photons is ensured by selecting Z-basis or X-basis randomly to measure the sampling photons.
[ { "version": "v1", "created": "Sun, 26 Mar 2006 13:41:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Wang", "Jian", "" ], [ "Zhang", "Quan", "" ], [ "Tang", "Chao-jing", "" ] ]