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quant-ph/0607039
Graeme Smith
Graeme Smith, John A. Smolin and Andreas Winter
The quantum capacity with symmetric side channels
10 pages, 4 figures
IEEE Trans. Info. Theory 54, 9, 4208-4217 (2008)
10.1109/TIT.2008.928269
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present an upper bound for the quantum channel capacity that is both additive and convex. Our bound can be interpreted as the capacity of a channel for high-fidelity quantum communication when assisted by a family of channels that have no capacity on their own. This family of assistance channels, which we call symmetric side channels, consists of all channels mapping symmetrically to their output and environment. The bound seems to be quite tight, and for degradable quantum channels it coincides with the unassisted channel capacity. Using this symmetric side channel capacity, we find new upper bounds on the capacity of the depolarizing channel. We also briefly indicate an analogous notion for distilling entanglement using the same class of (one-way) channels, yielding one of the few entanglement measures that is monotonic under local operations with one-way classical communication (1-LOCC), but not under the more general class of local operations with classical communication (LOCC).
[ { "version": "v1", "created": "Wed, 5 Jul 2006 21:43:39 GMT" }, { "version": "v2", "created": "Fri, 7 Jul 2006 00:45:33 GMT" }, { "version": "v3", "created": "Thu, 28 Aug 2008 15:12:37 GMT" } ]
2008-08-28T00:00:00
[ [ "Smith", "Graeme", "" ], [ "Smolin", "John A.", "" ], [ "Winter", "Andreas", "" ] ]
quant-ph/0607040
A. D. Alhaidari
A. D. Alhaidari
Representation reduction and solution space contraction in quasi-exactly solvable systems
25 pages, 4 figures (2 in color)
J. Phys. A: Math. Theor. 40 (2007) 6305-6328
10.1088/1751-8113/40/24/004
null
quant-ph
null
In quasi-exactly solvable problems partial analytic solution (energy spectrum and associated wavefunctions) are obtained if some potential parameters are assigned specific values. We introduce a new class in which exact solutions are obtained at a given energy for a special set of values of the potential parameters. To obtain a larger solution space one varies the energy over a discrete set (the spectrum). A unified treatment that includes the standard as well as the new class of quasi-exactly solvable problems is presented and few examples (some of which are new) are given. The solution space is spanned by discrete square integrable basis functions in which the matrix representation of the Hamiltonian is tridiagonal. Imposing quasi-exact solvability constraints result in a complete reduction of the representation into the direct sum of a finite and infinite component. The finite is real and exactly solvable, whereas the infinite is complex and associated with zero norm states. Consequently, the whole physical space contracts to a finite dimensional subspace with normalizable states.
[ { "version": "v1", "created": "Wed, 5 Jul 2006 22:21:11 GMT" } ]
2007-06-13T00:00:00
[ [ "Alhaidari", "A. D.", "" ] ]
quant-ph/0607041
Yu Tong
Yu Tong, Ruibao Tao
Non-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model
7 pages, 1 figure
null
10.1142/S0217984907013353
null
quant-ph
null
We study a 2-qubit nuclear spin system for realizing an arbitrary geometric quantum phase gate by means of non-adiabatic operation. A single magnetic pulse with multi harmonic frequencies is applied to manipulate the quantum states of 2-qubit instantly. Using resonant transition approximation, the time dependent Hamiltonian of two nuclear spins can be solved analytically. The time evolution of the wave function is obtained without adiabatic approximation. The parameters of magnetic pulse, such as the frequency, amplitude, phase of each harmonic part as well as the time duration of the pulse, are determined for achieving an arbitrary non-adiabatic geometric phase gate. The derivation of non-adiabatic geometric controlled phase gates and A-A phase are also addressed.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 03:09:48 GMT" }, { "version": "v2", "created": "Wed, 6 Sep 2006 09:12:56 GMT" }, { "version": "v3", "created": "Sat, 16 Dec 2006 09:13:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Tong", "Yu", "" ], [ "Tao", "Ruibao", "" ] ]
quant-ph/0607042
Xiaoyu Chen
Xiao-yu Chen
The condition for entanglement enhanced information transmission of Pauli memory channel
5 pages
null
10.1016/j.physleta.2006.09.026
null
quant-ph
null
The sufficient condition of entanglement enhanced classical capacity is given for Pauli memory channel with arbitrary channel parameters. In some special case the condition is also necessary but fail to be necessary in general. The theory of majorization and perturbation are used in the proving.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 03:25:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Xiao-yu", "" ] ]
quant-ph/0607043
Zheng-Yuan Xue
Zheng-Yuan Xue, Gang Zhang, Ping Dong, You-Min Yi, Zhuo-Liang Cao
Quantum controlled phase gate and cluster states generation via two superconducting quantum interference devices in a cavity
4 pages, resumitted
Eur. Phys. J. B 52, 333 (2006).
10.1140/epjb/e2006-00297-3
null
quant-ph
null
A scheme for implementing 2-qubit quantum controlled phase gate (QCPG) is proposed with two superconducting quantum interference devices (SQUIDs) in a cavity. The gate operations are realized within the two lower flux states of the SQUIDs by using a quantized cavity field and classical microwave pulses. Our scheme is achieved without any type of measurement, does not use the cavity mode as the data bus and only requires a very short resonant interaction of the SQUID-cavity system. As an application of the QCPG operation, we also propose a scheme for generating the cluster states of many SQUIDs.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 13:16:21 GMT" } ]
2011-11-09T00:00:00
[ [ "Xue", "Zheng-Yuan", "" ], [ "Zhang", "Gang", "" ], [ "Dong", "Ping", "" ], [ "Yi", "You-Min", "" ], [ "Cao", "Zhuo-Liang", "" ] ]
quant-ph/0607044
Elias Gyftopoulos
Elias P. Gyftopoulos
Thermodynamic and Quantum Thermodynamic Analyses of Brownian Movement
null
null
null
null
quant-ph
null
Thermodynamic and quantum thermodynamic analyses of Brownian movement of a solvent and a colloid passing through neutral thermodynamic equilibrium states only. It is shown that Brownian motors and E. coli do not represent Brownian movement.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 14:59:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Gyftopoulos", "Elias P.", "" ] ]
quant-ph/0607045
Oleksandr Zhmudskyy O
K. S. Karplyuk and O. O. Zhmudskyy
Hypercomplex Dirac Equation and Electrodynamics of Non-Conserved Charges
10 pages
null
null
null
quant-ph
null
It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits into two subsystems. Equations containing tensor, scalar and pseudoscalar fields coincide with Maxwell equations complemented by scalar and pseudoscalar fields. This system describes the electrodynamics of non-conserved charges. The scalar and pseudoscalar fields are generated only by the non-conserved charges - electric and hypothetical magnetic. The influence of these fields on the charged particles is very unusual - it causes a change of their rest mass. This allows us to give a new look at the Wigner paradox and mechanism of mass renormalization.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 19:05:20 GMT" }, { "version": "v2", "created": "Tue, 11 Jul 2006 16:38:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Karplyuk", "K. S.", "" ], [ "Zhmudskyy", "O. O.", "" ] ]
quant-ph/0607046
Samuel J. Lomonaco jr
Samuel J. Lomonaco Jr., Louis H. Kauffman
Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit
34 pages, 8 figures
null
null
null
quant-ph
null
One of the most promising and versatile approaches to creating new quantum algorithms is based on the quantum hidden subgroup (QHS) paradigm, originally suggested by Alexei Kitaev. This class of quantum algorithms encompasses the Deutsch-Jozsa, Simon, Shor algorithms, and many more. In this paper, our strategy for finding new quantum algorithms is to decompose Shor's quantum factoring algorithm into its basic primitives, then to generalize these primitives, and finally to show how to reassemble them into new QHS algorithms. Taking an "alphabetic building blocks approach," we use these primitives to form an "algorithmic toolkit" for the creation of new quantum algorithms, such as wandering Shor algorithms, continuous Shor algorithms, the quantum circle algorithm, the dual Shor algorithm, a QHS algorithm for Feynman integrals, free QHS algorithms, and more. Toward the end of this paper, we show how Grover's algorithm is most surprisingly "almost" a QHS algorithm, and how this result suggests the possibility of an even more complete "algorithmic tookit" beyond the QHS algorithms.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 18:50:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Lomonaco", "Samuel J.", "Jr." ], [ "Kauffman", "Louis H.", "" ] ]
quant-ph/0607047
David DiVincenzo
David P. DiVincenzo and Panos Aliferis
Effective fault-tolerant quantum computation with slow measurements
9 pages, 11 figures. v2: small changes and reference additions
Phys. Rev. Lett. 98 (2007) 220501
10.1103/PhysRevLett.98.020501
null
quant-ph
null
How important is fast measurement for fault-tolerant quantum computation? Using a combination of existing and new ideas, we argue that measurement times as long as even 1,000 gate times or more have a very minimal effect on the quantum accuracy threshold. This shows that slow measurement, which appears to be unavoidable in many implementations of quantum computing, poses no essential obstacle to scalability.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 18:57:45 GMT" }, { "version": "v2", "created": "Thu, 3 Aug 2006 15:00:53 GMT" } ]
2007-10-09T00:00:00
[ [ "DiVincenzo", "David P.", "" ], [ "Aliferis", "Panos", "" ] ]
quant-ph/0607048
Michael Uleysky
V.Yu. Argonov and S.V. Prants
Nonlinear coherent dynamics of an atom in an optical lattice
null
V.Yu. Argonov and S.V. Prants. Nonlinear coherent dynamics of an atom in an optical lattice. Journal of Russian Laser Research. V.27 N4 (2006) 360-378.
null
null
quant-ph nlin.CD
null
We consider a simple model of lossless interaction between a two-level single atom and a standing-wave single-mode laser field which creates a one-dimensional optical lattice. Internal dynamics of the atom is governed by the laser field which is treated to be classical with a large number of photons. Center-of-mass classical atomic motion is governed by the optical potential and the internal atomic degree of freedom. The resulting Hamilton-Schr\"odinger equations of motion are a five-dimensional nonlinear dynamical system with two integrals of motion. The main focus of the paper is chaotic atomic motion that may be quantified strictly by positive values of the maximal Lyapunov exponent. It is shown that atom, depending on the value of its total energy, can either oscillate chaotically in a well of the optical potential or fly ballistically with weak chaotic oscillations of its momentum or wander in the optical lattice changing the direction of motion in a chaotic way. In the regime of chaotic wandering atomic motion is shown to have fractal properties. We find a useful tool to visualize complicated atomic motion -- Poincar\'e mapping of atomic trajectories in an effective three-dimensional phase space onto planes of atomic internal variables and momentum. We find common features with typical non-hyperbolic Hamiltonian systems -- chains of resonant islands of different sizes embedded in a stochastic sea, stochastic layers, bifurcations, and so on. The phenomenon of sticking of atomic trajectories to boundaries of regular islands, that should have a great influence to atomic transport in optical lattices, is found and demonstrated numerically.
[ { "version": "v1", "created": "Thu, 6 Jul 2006 23:22:46 GMT" } ]
2011-11-09T00:00:00
[ [ "Argonov", "V. Yu.", "" ], [ "Prants", "S. V.", "" ] ]
quant-ph/0607049
Roberto Floreanini
F. Benatti and R. Floreanini
Asymptotic Entanglement of Two Independent Systems in a Common Bath
10 pages, LaTeX
null
null
null
quant-ph cond-mat.other hep-th
null
Two, non-interacting systems immersed in a common bath and evolving with a Markovian, completely positive dynamics can become initially entangled via a purely noisy mechanism. Remarkably, for certain, phenomenologically relevant environments, the quantum correlations can persist even in the asymptotic long-time regime.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 08:24:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Benatti", "F.", "" ], [ "Floreanini", "R.", "" ] ]
quant-ph/0607050
Marko Znidaric
Thomas Gorin, Tomaz Prosen, Thomas H. Seligman and Marko Znidaric
Dynamics of Loschmidt echoes and fidelity decay
Review article with some original results in integrable systems and random matrix models; 133 pages, 53 figures
Phys. Rep. 435, 33-156 (2006)
10.1016/j.physrep.2006.09.003
null
quant-ph
null
Fidelity serves as a benchmark for the relieability in quantum information processes, and has recently atracted much interest as a measure of the susceptibility of dynamics to perturbations. A rich variety of regimes for fidelity decay have emerged. The purpose of the present review is to describe these regimes, to give the theory that supports them, and to show some important applications and experiments. While we mention several approaches we use time correlation functions as a backbone for the discussion. Vanicek's uniform approach to semiclassics and random matrix theory provides an important alternative or complementary aspects. Other methods will be mentioned as we go along. Recent experiments in micro-wave cavities and in elastodynamic systems as well as suggestions for experiments in quantum optics shall be discussed.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 09:42:44 GMT" }, { "version": "v2", "created": "Thu, 14 Sep 2006 11:34:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Gorin", "Thomas", "" ], [ "Prosen", "Tomaz", "" ], [ "Seligman", "Thomas H.", "" ], [ "Znidaric", "Marko", "" ] ]
quant-ph/0607051
Alexander Holevo
A. S. Holevo
One-mode quantum Gaussian channels
12 pages, classification improved, typos corrected, reference added
Problems of Information Transmission, v.43, 1-11, 2007
null
null
quant-ph
null
A classification of one-mode Gaussian channels is given up to canonical unitary equivalence. A complementary to the quantum channel with additive classical Gaussian noise is described providing an example of one-mode Gaussian channel which is neither degradable nor anti-degradable.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 09:46:48 GMT" }, { "version": "v2", "created": "Sun, 16 Jul 2006 18:00:51 GMT" } ]
2010-12-30T00:00:00
[ [ "Holevo", "A. S.", "" ] ]
quant-ph/0607052
Guido Zambra
G. Zambra and M. G. A. Paris
Reconstruction of photon statistics using low performance photon counters
8 pages, 3 figures
Phys. Rev. A 74, 063830 (2006).
10.1103/PhysRevA.74.063830
null
quant-ph
null
The output of a photodetector consists of a current pulse whose charge has the statistical distribution of the actual photon numbers convolved with a Bernoulli distribution. Photodetectors are characterized by a nonunit quantum efficiency, i.e. not all the photons lead to a charge, and by a finite resolution, i.e. a different number of detected photons leads to a discriminable values of the charge only up to a maximum value. We present a detailed comparison, based on Monte Carlo simulated experiments and real data, among the performances of detectors with different upper limits of counting capability. In our scheme the inversion of Bernoulli convolution is performed by maximum-likelihood methods assisted by measurements taken at different quantum efficiencies. We show that detectors that are only able to discriminate between zero, one and more than one detected photons are generally enough to provide a reliable reconstruction of the photon statistics for single-peaked distributions, while detectors with higher resolution limits do not lead to further improvements. In addition, we demonstrate that, for semiclassical states, even on/off detectors are enough to provide a good reconstruction. Finally, we show that a reliable reconstruction of multi-peaked distributions requires either higher quantum efficiency or better capability in discriminating high number of detected photons.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 11:22:31 GMT" } ]
2015-06-26T00:00:00
[ [ "Zambra", "G.", "" ], [ "Paris", "M. G. A.", "" ] ]
quant-ph/0607053
Ujjwal Sen
Sibylle Braungardt, Aditi Sen De, Ujjwal Sen, Maciej Lewenstein
Error-Resistant Distributed Quantum Computation in Trapped Ion Chain
10 pages, 7 figures, RevTeX4; v2: another noise model analysed, published version
Phys. Rev. A 76, 042307 (2007)
10.1103/PhysRevA.76.042307
null
quant-ph cond-mat.dis-nn
null
We consider experimentally feasible chains of trapped ions with pseudo-spin 1/2, and find models that can potentially be used to implement error-resistant quantum computation. Similar in spirit to classical neural networks, the error-resistance of the system is achieved by encoding the qubits distributed over the whole system. We therefore call our system a ''quantum neural network'', and present a ''quantum neural network model of quantum computation''. Qubits are encoded in a few quasi-degenerated low energy levels of the whole system, separated by a large gap from the excited states, and large energy barriers between themselves. We investigate protocols for implementing a universal set of quantum logic gates in the system, by adiabatic passage of a few low-lying energy levels of the whole system. Naturally appearing and potentially dangerous distributed noise in the system leaves the fidelity of the computation virtually unchanged, if it is not too strong. The computation is also naturally resilient to local perturbations of the spins.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 13:03:28 GMT" }, { "version": "v2", "created": "Fri, 4 Jan 2008 16:22:42 GMT" } ]
2009-10-20T00:00:00
[ [ "Braungardt", "Sibylle", "" ], [ "De", "Aditi Sen", "" ], [ "Sen", "Ujjwal", "" ], [ "Lewenstein", "Maciej", "" ] ]
quant-ph/0607054
Thomas Coudreau
Thomas Coudreau (MPQ), Fr\'ed\'eric Grosshans (LPQM), Samuel Guibal (MPQ), Luca Guidoni (MPQ)
Feasibility of a quantum memory for continuous variables based on trapped ions
v2, typos corrected
null
null
null
quant-ph
null
We propose to use a large cloud of cold trapped ions as a medium for quantum optics and quantum information experiments. Contrary to most recent realizations of qubit manipulation based on a small number of trapped and cooled ions, we study the case of traps containing a macroscopic number of ions. We consider in particular the implementation of a quantum memory for quantum information stored in continuous variables and study the impact of the relevant physical parameters on the expected performances of the system.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 13:20:23 GMT" }, { "version": "v2", "created": "Sat, 8 Jul 2006 08:45:17 GMT" } ]
2016-08-16T00:00:00
[ [ "Coudreau", "Thomas", "", "MPQ" ], [ "Grosshans", "Frédéric", "", "LPQM" ], [ "Guibal", "Samuel", "", "MPQ" ], [ "Guidoni", "Luca", "", "MPQ" ] ]
quant-ph/0607055
John Chiaverini
K. Vant, J. Chiaverini, W. Lybarger, and D. J. Berkeland
Photoionization of strontium for trapped-ion quantum information processing
7 pages, 3 figures, RevTeX4
null
null
LA-UR-06-4610
quant-ph
null
We report a demonstration of simple and effective loading of strontium ions into a linear radio frequency Paul trap using photoionization. The ionization pathway is 5s2 1S0 -- 5s5p 1P1 -- 5p2 1D2, and the 5p2 1D2 final state is auto-ionizing. Both transitions are driven using diode lasers: a grating-stabilized 922 nm diode doubled in a single pass through potassium niobate to 461 nm and a bare diode at 405 nm. Using this technique, we have reduced the background pressure during the ion loading process by a factor of 2 compared to the conventional technique of electron bombardment. Initial ion temperatures are low enough that the ions immediately form crystals. It is also possible to observe the trapping region with a CCD camera during ion creation, allowing specific ion number loading with high probability.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 16:23:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Vant", "K.", "" ], [ "Chiaverini", "J.", "" ], [ "Lybarger", "W.", "" ], [ "Berkeland", "D. J.", "" ] ]
quant-ph/0607056
Chi-Hang Fred Fung
Chi-Hang Fred Fung and Hoi-Kwong Lo
Security proof of a three-state quantum key distribution protocol without rotational symmetry
10 pages, 3 figures, 2 columns
Physical Review A 74, 042342 (2006)
10.1103/PhysRevA.74.042342
null
quant-ph
null
Standard security proofs of quantum key distribution (QKD) protocols often rely on symmetry arguments. In this paper, we prove the security of a three-state protocol that does not possess rotational symmetry. The three-state QKD protocol we consider involves three qubit states, where the first two states, |0_z> and |1_z>, can contribute to key generation and the third state, |+>=(|0_z>+|1_z>)/\sqrt{2}, is for channel estimation. This protocol has been proposed and implemented experimentally in some frequency-based QKD systems where the three states can be prepared easily. Thus, by founding on the security of this three-state protocol, we prove that these QKD schemes are, in fact, unconditionally secure against any attacks allowed by quantum mechanics. The main task in our proof is to upper bound the phase error rate of the qubits given the bit error rates observed. Unconditional security can then be proved not only for the ideal case of a single-photon source and perfect detectors, but also for the realistic case of a phase-randomized weak coherent light source and imperfect threshold detectors. Our result on the phase error rate upper bound is independent of the loss in the channel. Also, we compare the three-state protocol with the BB84 protocol. For the single-photon source case, our result proves that the BB84 protocol strictly tolerates a higher quantum bit error rate than the three-state protocol; while for the coherent-source case, the BB84 protocol achieves a higher key generation rate and secure distance than the three-state protocol when a decoy-state method is used.
[ { "version": "v1", "created": "Sat, 8 Jul 2006 16:48:20 GMT" }, { "version": "v2", "created": "Tue, 1 Aug 2006 13:57:25 GMT" }, { "version": "v3", "created": "Wed, 20 Sep 2006 11:59:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Fung", "Chi-Hang Fred", "" ], [ "Lo", "Hoi-Kwong", "" ] ]
quant-ph/0607057
Travis Norsen
Travis Norsen
Against `Realism'
Revised version, forthcoming in Foundations of Physics
Foundations of Physics, Vol. 37 No. 3, 311-340 (March 2007)
10.1007/s10701-007-9104-1
null
quant-ph
null
We examine the prevalent use of the phrase ``local realism'' in the context of Bell's Theorem and associated experiments, with a focus on the question: what exactly is the `realism' in `local realism' supposed to mean? Carefully surveying several possible meanings, we argue that all of them are flawed in one way or another as attempts to point out a second premise (in addition to locality) on which the Bell inequalities rest, and (hence) which might be rejected in the face of empirical data violating the inequalities. We thus suggest that the phrase `local realism' should be banned from future discussions of these issues, and urge physicists to revisit the foundational questions behind Bell's Theorem.
[ { "version": "v1", "created": "Fri, 7 Jul 2006 20:07:42 GMT" }, { "version": "v2", "created": "Thu, 16 Nov 2006 16:14:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Norsen", "Travis", "" ] ]
quant-ph/0607058
Tao Qin
Meisheng Zhao, Tao Qin and Yongde Zhang
The fidelity of general bosonic channels with pure state input
3 pages, comments welcome
null
10.1142/S0217984907013808
null
quant-ph
null
We first derive for the general form of the fidelity for various bosonic channels. Thereby we give the fidelity of different quantum bosonic channel, possibly with product input and entangled input respectively, as examples. The properties of the fidelity are carefully examined.
[ { "version": "v1", "created": "Sat, 8 Jul 2006 08:34:21 GMT" }, { "version": "v2", "created": "Fri, 19 Jan 2007 23:46:05 GMT" }, { "version": "v3", "created": "Tue, 23 Jan 2007 11:54:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhao", "Meisheng", "" ], [ "Qin", "Tao", "" ], [ "Zhang", "Yongde", "" ] ]
quant-ph/0607059
Cosmo Lupo
C. Lupo, V. I. Man'ko, G. Marmo
Bell's inequalities in the tomographic representation
11 pages, comments and references added
J.Phys. A39 (2006) 12515-12524
10.1088/0305-4470/39/40/016
null
quant-ph
null
The tomographic approach to quantum mechanics is revisited as a direct tool to investigate violation of Bell-like inequalities. Since quantum tomograms are well defined probability distributions, the tomographic approach is emphasized to be the most natural one to compare the predictions of classical and quantum theory. Examples of inequalities for two qubits an two qutrits are considered in the tomographic probability representation of spin states.
[ { "version": "v1", "created": "Sat, 8 Jul 2006 13:44:36 GMT" }, { "version": "v2", "created": "Fri, 22 Sep 2006 13:46:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Lupo", "C.", "" ], [ "Man'ko", "V. I.", "" ], [ "Marmo", "G.", "" ] ]
quant-ph/0607060
Sebastien Louis Mr
Sebastien G.R. Louis, Kae Nemoto, W.J. Munro and T.P. Spiller
The efficiencies of generating cluster states with weak non-linearities
21 pages, to appear in special issue of New J. Phys. on "Measurement-Based Quantum Information Processing"
New J. Phys. 9, 193 (2007)
10.1088/1367-2630/9/6/193
null
quant-ph
null
We propose a scalable approach to building cluster states of matter qubits using coherent states of light. Recent work on the subject relies on the use of single photonic qubits in the measurement process. These schemes can be made robust to detector loss, spontaneous emission and cavity mismatching but as a consequence the overhead costs grow rapidly, in particular when considering single photon loss. In contrast, our approach uses continuous variables and highly efficient homodyne measurements. We present a two-qubit scheme, with a simple bucket measurement system yielding an entangling operation with success probability 1/2. Then we extend this to a three-qubit interaction, increasing this probability to 3/4. We discuss the important issues of the overhead cost and the time scaling. This leads to a "no-measurement" approach to building cluster states, making use of geometric phases in phase space.
[ { "version": "v1", "created": "Mon, 10 Jul 2006 13:10:22 GMT" }, { "version": "v2", "created": "Mon, 16 Apr 2007 02:18:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Louis", "Sebastien G. R.", "" ], [ "Nemoto", "Kae", "" ], [ "Munro", "W. J.", "" ], [ "Spiller", "T. P.", "" ] ]
quant-ph/0607061
Caterina-Eloisa Mora
M. Piani, C. Mora
Class of PPT bound entangled states associated to almost any set of pure entangled states
12 pages, 3 figures. To appear in Phys. Rev. A
Phys. Rev. A 75, 012305 (2007)
10.1103/PhysRevA.75.012305
null
quant-ph
null
We analyze a class of entangled states for bipartite $d \otimes d$ systems, with $d$ non-prime. The entanglement of such states is revealed by the construction of canonically associated entanglement witnesses. The structure of the states is very simple and similar to the one of isotropic states: they are a mixture of a separable and a pure entangled state whose supports are orthogonal. Despite such simple structure, in an opportune interval of the mixing parameter their entanglement is not revealed by partial transposition nor by the realignment criterion, i.e. by any permutational criterion in the bipartite setting. In the range in which the states are Positive under Partial Transposition (PPT), they are not distillable; on the other hand, the states in the considered class are provably distillable as soon as they are Nonpositive under Partial Transposition (NPT). The states are associated to any set of more than two pure states. The analysis is extended to the multipartite setting. By an opportune selection of the set of multipartite pure states, it is possible to construct mixed states which are PPT with respect to any choice of bipartite cuts and nevertheless exhibit genuine multipartite entanglement. Finally, we show that every $k$-positive but not completely positive map is associated to a family of nondecomposable maps.
[ { "version": "v1", "created": "Mon, 10 Jul 2006 13:50:16 GMT" }, { "version": "v2", "created": "Mon, 13 Nov 2006 18:05:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Piani", "M.", "" ], [ "Mora", "C.", "" ] ]
quant-ph/0607062
Tomasz Paterek
Tomasz Paterek
Measurements on Composite Qudits
10 pages, 2 figures. Published version
Phys. Lett. A 367, 57 (2007)
10.1016/j.physleta.2007.05.082
null
quant-ph
null
We study measurements of the unitary generalization of Pauli operators. First, an analytical (constructive) solution to the eigenproblem of these operators is presented. Next, in the case of two subsystems, the Schmidt form of the eigenvectors is derived to identify measurements which are easy to implement. These results are utilized to show that quantum cryptography with two bases, when operating on a two-component qudit, can be realized with measurements on individual subsystems, assisted with classical communication. We also discuss feasible devices which perform tomography of polarisation-path qudits.
[ { "version": "v1", "created": "Mon, 10 Jul 2006 16:15:33 GMT" }, { "version": "v2", "created": "Fri, 24 Aug 2007 10:18:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Paterek", "Tomasz", "" ] ]
quant-ph/0607063
Richard A. Mould
Richard A Mould
A Foundation Theory of Quantum Mechanics
22 pages, 4 figures,Trieste/Losinj Conference, 5-9 Sept. 2005
null
10.1063/1.2219367
null
quant-ph
null
The nRules are empirical regularities that were discovered in macroscopic situations where the outcome is known. When they are projected theoretically into the microscopic domain they predict a novel ontology including the frequent collapse of an atomic wave function, thereby defining an nRule based foundation theory. Future experiments can potentially discriminate between this and other foundation theories of (non-relativistic) quantum mechanics. Important features of the nRules are: (1) they introduce probability through probability current rather than the Born rule, (2) they are valid independent of size (micro or macroscopic), (3) they apply to individual trials, not just to ensembles of trials. (4) they allow all observers to be continuously included in the system without ambiguity, (5) they account for the collapse of the wave function without introducing new or using old physical constants, and (6) in dense environments they provide a high frequency of stochastic localizations of quantum mechanical objects. Key words: measurement, stochastic choice, state reduction.
[ { "version": "v1", "created": "Mon, 10 Jul 2006 17:28:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Mould", "Richard A", "" ] ]
quant-ph/0607064
Bernhard Breid
B. M. Breid, D. Witthaut and H. J. Korsch
Manipulation of matter waves using Bloch and Bloch-Zener oscillations
null
New J. Phys. 9 (2007) 62
10.1088/1367-2630/9/3/062
null
quant-ph
null
We present theoretical and numerical results on the dynamics of ultracold atoms in an accelerated single- and double-periodic optical lattice. In the single-periodic potential Bloch oscillations can be used to generate fast directed transport with very little dispersion. The dynamics in the double-periodic system is dominated by Bloch-Zener oscillations, i.e. the interplay of Bloch oscillations and Zener tunneling between the subbands. Apart from directed transport, the latter system permits various interesting applications, such as widely tunable matter wave beam splitters and Mach-Zehnder interferometry. As an application, a method for efficient probing of small nonlinear mean-field interactions is suggested.
[ { "version": "v1", "created": "Mon, 10 Jul 2006 18:46:31 GMT" } ]
2008-08-12T00:00:00
[ [ "Breid", "B. M.", "" ], [ "Witthaut", "D.", "" ], [ "Korsch", "H. J.", "" ] ]
quant-ph/0607065
Rodney Van Meter
Rodney Doyle Van Meter III
Architecture of a Quantum Multicomputer Optimized for Shor's Factoring Algorithm
Ph.D. thesis, Keio University: 256 pages, 57 figures and 60,000+ words in 103 files. Get the PDF file if you can, the PostScript is big
null
null
null
quant-ph
null
The quantum multicomputer consists of a large number of small nodes and a qubus interconnect for creating entangled state between the nodes. The primary metric chosen is the performance of such a system on Shor's algorithm for factoring large numbers: specifically, the quantum modular exponentiation step that is the computational bottleneck. This dissertation introduces a number of optimizations for the modular exponentiation. My algorithms reduce the latency, or circuit depth, to complete the modular exponentiation of an n-bit number from O(n^3) to O(n log^2 n) or O(n^2 log n), depending on architecture. Calculations show that these algorithms are one million times and thirteen thousand times faster, when factoring a 6,000-bit number, depending on architecture. Extending to the quantum multicomputer, five different qubus interconnect topologies are considered, and two forms of carry-ripple adder are found to be the fastest for a wide range of performance parameters. The links in the quantum multicomputer are serial; parallel links would provide only very modest improvements in system reliability and performance. Two levels of the Steane [[23,1,7]] error correction code will adequately protect our data for factoring a 1,024-bit number even when the qubit teleportation failure rate is one percent.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 06:26:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Meter", "Rodney Doyle Van", "III" ] ]
quant-ph/0607066
Cem Y
C. Yuce
Free electron in a laser field: The nonrelativistic solution
null
Phys. Rev. A 74, 062106 (2006)
10.1103/PhysRevA.74.062106
null
quant-ph
null
Schrodinger equation for a charged particle interacting with the plane wave electromagnetic field is solved exactly. The exact analytic solution and the perturbative solution up to second order are compared.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 06:47:37 GMT" }, { "version": "v2", "created": "Wed, 18 Oct 2006 08:23:16 GMT" }, { "version": "v3", "created": "Thu, 30 Nov 2006 09:31:03 GMT" }, { "version": "v4", "created": "Mon, 11 Dec 2006 12:40:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Yuce", "C.", "" ] ]
quant-ph/0607067
Satyabrata Adhikari
Satyabrata Adhikari, B.S.Choudhury
Broadcasting of three qubit entanglement via local copying and entanglement swapping
18 pages, 4 figures, Accepted in Physical Review A
Phys. Rev. A 74, 032323 (2006)
10.1103/PhysRevA.74.032323
null
quant-ph
null
In this work,We investigate the problem of secretly broadcasting of three-qubit entangled state between two distant partners. The interesting feature of this problem is that starting from two particle entangled state shared between two distant partners we find that the action of local cloner on the qubits and the measurement on the machine state vector generates three-qubit entanglement between them. The broadcasting of entanglement is made secret by sending the measurement result secretly using cryptographic scheme based on orthogonal states. Further we show that this idea can be extended to generate three particle entangled state between three distant partners.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 07:56:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Adhikari", "Satyabrata", "" ], [ "Choudhury", "B. S.", "" ] ]
quant-ph/0607068
Sylvain Gigan
S. Gigan, H. R. Boehm, M. Paternostro, F. Blaser, G. Langer, J. B. Hertzberg, K. Schwab, D. Baeuerle, M. Aspelmeyer, A. Zeilinger
Self-cooling of a micro-mirror by radiation pressure
11 pages, 9 figures, minor corrections
Nature 444, 67 - 70 (02 Nov 2006)
10.1038/nature05273
null
quant-ph cond-mat.mtrl-sci
null
We demonstrate passive feedback cooling of a mechanical resonator based on radiation pressure forces and assisted by photothermal forces in a high-finesse optical cavity. The resonator is a free-standing high-reflectance micro-mirror (of mass m=400ng and mechanical quality factor Q=10^4) that is used as back-mirror in a detuned Fabry-Perot cavity of optical finesse F=500. We observe an increased damping in the dynamics of the mechanical oscillator by a factor of 30 and a corresponding cooling of the oscillator modes below 10 K starting from room temperature. This effect is an important ingredient for recently proposed schemes to prepare quantum entanglement of macroscopic mechanical oscillators.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 09:54:34 GMT" }, { "version": "v2", "created": "Wed, 8 Nov 2006 14:20:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Gigan", "S.", "" ], [ "Boehm", "H. R.", "" ], [ "Paternostro", "M.", "" ], [ "Blaser", "F.", "" ], [ "Langer", "G.", "" ], [ "Hertzberg", "J. B.", "" ], [ "Schwab", "K.", "" ], [ "Baeuerle", "D.", "" ], [ "Aspelmeyer", "M.", "" ], [ "Zeilinger", "A.", "" ] ]
quant-ph/0607069
Libby Heaney
L. Heaney, J. Anders, V. Vedral
Spatial Entanglement of a Free Bosonic Field
5 pages, 4 figures, extended version of the paper from 5 to 8 pages. We have included a more detailed discussion and added new results that support our original conclusions
null
null
null
quant-ph
null
In this paper we discuss the entanglement properties of a thermal non-relativistic free bosonic field. We demonstrate how to formally construct spatial modes in order to use a continuous variable separability criterion and show that the construction of the modes plays a significant role in the way the entanglement manifests itself. For instance the presence of entanglement depends on the shape of the modes and their separation. The temperature of the gas is another crucial factor and for one choice of modes we show that entanglement can be found at arbitrarily high temperatures as long as we can zoom in on suitably small regions in space. Moreover, we show that the entanglement here is useful as it can be extracted to a pair of localised systems.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 10:29:53 GMT" }, { "version": "v2", "created": "Tue, 25 Jul 2006 12:45:16 GMT" }, { "version": "v3", "created": "Fri, 1 Jun 2007 13:33:17 GMT" } ]
2007-06-13T00:00:00
[ [ "Heaney", "L.", "" ], [ "Anders", "J.", "" ], [ "Vedral", "V.", "" ] ]
quant-ph/0607070
Michael M. Wolf
Michael M. Wolf, David Perez-Garcia
Quantum Capacities of Channels with small Environment
null
Phys. Rev. A 75, 012303 (2007)
10.1103/PhysRevA.75.012303
null
quant-ph
null
We investigate the quantum capacity of noisy quantum channels which can be represented by coupling a system to an effectively small environment. A capacity formula is derived for all cases where both system and environment are two-dimensional--including all extremal qubit channels. Similarly, for channels acting on higher dimensional systems we show that the capacity can be determined if the channel arises from a sufficiently small coupling to a qubit environment. Extensions to instances of channels with larger environment are provided and it is shown that bounds on the capacity with unconstrained environment can be obtained from decompositions into channels with small environment.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 11:46:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Wolf", "Michael M.", "" ], [ "Perez-Garcia", "David", "" ] ]
quant-ph/0607071
Roberto Floreanini
F. Benatti and R. Floreanini
Tests of Complete Positivity in Fiber Optics
10 pages, LaTeX
null
null
null
quant-ph cond-mat.other hep-th
null
We consider the propagation of polarized photons in optical fibers under the action of randomly generated noise. In such situation, the change in time of the photon polarization can be described by a quantum dynamical semigroup. We show that the hierarchy among the decay constants of the polarization density matrix elements as prescribed by complete positivity can be experimentally probed using standard laboratory set-ups.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 12:53:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Benatti", "F.", "" ], [ "Floreanini", "R.", "" ] ]
quant-ph/0607072
Artem Dudarev
A.M. Dudarev, M.G. Raizen, Qian Niu
Quantum Many-Body Culling
null
null
null
null
quant-ph
null
We propose a method to produce a definite number of ground-state atoms by adiabatic reduction of the depth of a potential well that confines a degenerate Bose gas with repulsive interactions. Using a variety of methods, we map out the maximum number of particles that can be supported by the well as a function of the well depth and interaction strength, covering the limiting case of a Tonks gas as well as the mean-field regime. We also estimate the time scales for adiabaticity and discuss the recent observation of atomic number squeezing (Chuu et al., Phys. Rev. Lett. {\bf 95}, 260403 (2005)).
[ { "version": "v1", "created": "Tue, 11 Jul 2006 14:23:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Dudarev", "A. M.", "" ], [ "Raizen", "M. G.", "" ], [ "Niu", "Qian", "" ] ]
quant-ph/0607073
Ferenc Sz\"oll\H{o}si
M\'at\'e Matolcsi, J\'ulia R\'effy and Ferenc Sz\"oll\H{o}si
Constructions of complex Hadamard matrices via tiling Abelian groups
15 pages
null
null
null
quant-ph
null
Applications in quantum information theory and quantum tomography have raised current interest in complex Hadamard matrices. In this note we investigate the connection between tiling Abelian groups and constructions of complex Hadamard matrices. First, we recover a recent very general construction of complex Hadamard matrices due to Dita via a natural tiling construction. Then we find some necessary conditions for any given complex Hadamard matrix to be equivalent to a Dita-type matrix. Finally, using another tiling construction, due to Szabo, we arrive at new parametric families of complex Hadamard matrices of order 8, 12 and 16, and we use our necessary conditions to prove that these families do not arise with Dita's construction. These new families complement the recent catalogue of complex Hadamard matrices of small order.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 18:25:30 GMT" }, { "version": "v2", "created": "Thu, 5 Oct 2006 09:54:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Matolcsi", "Máté", "" ], [ "Réffy", "Júlia", "" ], [ "Szöllősi", "Ferenc", "" ] ]
quant-ph/0607074
Simone Severini
Toufik Mansour, Matthias Schork and Simone Severini
Noncrossing normal ordering for functions of boson operators
16 pages, 10 figures
null
10.1007/s10773-007-9508-x
null
quant-ph math-ph math.CO math.MP
null
Normally ordered forms of functions of boson operators are important in many contexts in particular concerning Quantum Field Theory and Quantum Optics. Beginning with the seminal work of Katriel [Lett. Nuovo Cimento, 10(13):565--567, 1974], in the last few years, normally ordered forms have been shown to have a rich combinatorial structure, mainly in virtue of a link with the theory of partitions. In this paper, we attempt to enrich this link. By considering linear representations of noncrossing partitions, we define the notion of noncrossing normal ordering. Given the growing interest in noncrossing partitions, because of their many unexpected connections (like, for example, with free probability), noncrossing normal ordering appears to be an intriguing notion. We explicitly give the noncrossing normally ordered form of the functions (a^{r}(a^{\dag})^{s})^{n}) and (a^{r}+(a^{\dag})^{s})^{n}, plus various special cases. We are able to establish for the first time bijections between noncrossing contractions of these functions, k-ary trees and sets of lattice paths.
[ { "version": "v1", "created": "Tue, 11 Jul 2006 21:54:16 GMT" }, { "version": "v2", "created": "Tue, 3 Apr 2007 00:51:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Mansour", "Toufik", "" ], [ "Schork", "Matthias", "" ], [ "Severini", "Simone", "" ] ]
quant-ph/0607075
Wei-Qin Zhao
R. Friedberg, T. D. Lee and W. Q. Zhao
Iterative Solutions for Low Lying Excited States of a Class of Schroedinger Equation
14 pages, 4 figures
null
10.1088/1009-1963/15/9/001
null
quant-ph
null
The convergent iterative procedure for solving the groundstate Schroedinger equation is extended to derive the excitation energy and the wave function of the low-lying excited states. The method is applied to the one-dimensional quartic potential problem. The results show that the iterative solution converges rapidly when the coupling $g$ is not too small.
[ { "version": "v1", "created": "Wed, 12 Jul 2006 01:41:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Friedberg", "R.", "" ], [ "Lee", "T. D.", "" ], [ "Zhao", "W. Q.", "" ] ]
quant-ph/0607076
Vladimir Privman
Vladimir Privman, Dmitry Solenov, Denis Tolkunov
Onset of Entanglement and Noise Cross-Correlations in Two-Qubit System Interacting with Common Bosonic Bath
4 pages in LaTeX, with EPS figures
Proc. Conf. ICSICT-2006, Part 2, Pages 1054-1057, edited by T.-A. Tang, G.-P. Ru and Y.-L. Jiang (IEEE Press, Piscataway, NJ, 2006)
10.1109/ICSICT.2006.306659
null
quant-ph
null
We summarize our recent results for the induced exchange interaction due to thermal bosonic environment (bath) which also generates quantum noise. Our focus here is on the onset of the interaction. We demonstrate that the induced interaction can be used to manipulate and create entanglement over time scales sufficiently large for controlling the two-qubit system for quantum computing applications, though ultimately the noise effects will dominate.
[ { "version": "v1", "created": "Wed, 12 Jul 2006 04:10:09 GMT" } ]
2010-09-22T00:00:00
[ [ "Privman", "Vladimir", "" ], [ "Solenov", "Dmitry", "" ], [ "Tolkunov", "Denis", "" ] ]
quant-ph/0607077
Rustem Shakhmuratov
R. N. Shakhmuratov, J. Odeurs, and Paul Mandel
A single photon emitted by a single particle in free space vacuum modes and its resonant interaction with two- and three-level absorbers
28 pages, 7 figures
null
10.1103/PhysRevA.75.013808
null
quant-ph
null
We consider the time-delayed coincidence counting of two photons emitted in a cascade by a single particle (atom, molecule, nucleus, etc). The time-dependence of the probability amplitude of the second photon in the cascade has a sharply rising leading edge due to the detection of the first photon, as results from causality. If a macroscopic ensemble of resonant two-level absorbers is placed in the path of the second photon between the radiation source and the detector, the photon absorption does not follow Beer's law due to the time-asymmetric shape of the photon. For very short delay times almost no absorption takes place, even in an optically dense medium. We analyze the propagation of such a second photon in a thick resonant three-level absorber if a narrow electromagnetically induced transparency (EIT) window is present at the center of the absorption line. It is shown that the EIT medium can change the asymmetric time dependence of the photon probability amplitude to a bell shape (EIT filtering). This bell-shaped photon interacts much more efficiently with an other ensemble of two-level absorbers chosen, for example, to store this photon and the information it carries.
[ { "version": "v1", "created": "Wed, 12 Jul 2006 10:38:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Shakhmuratov", "R. N.", "" ], [ "Odeurs", "J.", "" ], [ "Mandel", "Paul", "" ] ]
quant-ph/0607078
Archan S. Majumdar
Biplab Ghosh, A. S. Majumdar, N. Nayak
Environment assisted entanglement enhancement
4 pages, Revtex, 1 eps figure; minor changes to match with published version
Phys. Rev. A 74, 052315 (2006)
10.1103/PhysRevA.74.052315
null
quant-ph
null
We consider dissipative atom-cavity systems and show that their collective dynamics leads to the maximization of entanglement for intermediate values of the cavity leakage parameter $\kappa$. We discuss possible ways the reservoir influences entanglement. We first consider the entanglement of a single two-level atom with a microwave cavity that is coupled to another cavity. We show that the atom-cavity entanglement can be made to increase with cavity leakage. We next show that the entanglement between two atoms passing successively through a cavity can be maximised for intermediate values of $\kappa$. We finally consider the micromaser where the increase of two-atom entanglement for stronger cavity-environment coupling is demonstrated for experimentally attainable values of the micromaser parameters.
[ { "version": "v1", "created": "Wed, 12 Jul 2006 12:01:44 GMT" }, { "version": "v2", "created": "Fri, 22 Dec 2006 09:30:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghosh", "Biplab", "" ], [ "Majumdar", "A. S.", "" ], [ "Nayak", "N.", "" ] ]
quant-ph/0607079
Adolfo del Campo
A. del Campo, J. G. Muga
Exact propagators for atom-laser interactions
13 pages, 6 figures
J. Phys. A, 39, 14079 (2006) (extended)
10.1088/0305-4470/39/45/017
null
quant-ph cond-mat.other math-ph math.MP
null
A class of exact propagators describing the interaction of an $N$-level atom with a set of on-resonance $\delta$-lasers is obtained by means of the Laplace transform method. State-selective mirrors are described in the limit of strong lasers. The ladder, V and $\Lambda$ configurations for a three-level atom are discussed. For the two level case, the transient effects arising as result of the interaction between both a semi-infinite beam and a wavepacket with the on-resonance laser are examined.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 08:14:20 GMT" } ]
2009-11-13T00:00:00
[ [ "del Campo", "A.", "" ], [ "Muga", "J. G.", "" ] ]
quant-ph/0607080
Oliver Gloeckl
O. Gl\"ockl, U. L. Andersen, R. Filip, W. P. Bowen, G. Leuchs
Squeezed state purification with linear optics and feed forward
4 pages, 3 figures
Phys. Rev. Lett. 97, 053601 (2006)
10.1103/PhysRevLett.97.053601
null
quant-ph
null
A scheme for optimal and deterministic linear optical purification of mixed squeezed Gaussian states is proposed and experimentally demonstrated. The scheme requires only linear optical elements and homodyne detectors, and allows the balance between purification efficacy and squeezing degradation to be controlled. One particular choice of parameters gave a ten-fold reduction of the thermal noise with a corresponding squeezing degradation of only 11%. We prove optimality of the protocol, and show that it can be used to enhance the performance of quantum informational protocols such as dense coding and entanglement generation.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 11:15:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Glöckl", "O.", "" ], [ "Andersen", "U. L.", "" ], [ "Filip", "R.", "" ], [ "Bowen", "W. P.", "" ], [ "Leuchs", "G.", "" ] ]
quant-ph/0607081
Ingunn Kathrine Wehus
H. Alnes, K. Olaussen, F. Ravndal and I. K. Wehus
Electromagnetic Casimir energy with extra dimensions
16 pages, typos corrected, published version
Phys.Rev.D74:105017,2006
10.1103/PhysRevD.74.105017
null
quant-ph hep-ph hep-th
null
We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can be mapped upon the corresponding problem with a massless, scalar field satisfying respectively Dirichlet or Neumann boundary conditions. The pressure between the plates is constant while the energy density is found to diverge at the boundaries when there are extra dimensions. This can be related to the fact that Maxwell theory is then no longer conformally invariant. A similar behavior is known for the scalar field where a constant energy density consistent with the pressure can be obtained by improving the energy-momentum tensor with the Huggins term. This is not possible for the Maxwell field. However, the change in the energy-momentum tensor with distance between boundaries is finite in all cases.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 11:35:19 GMT" }, { "version": "v2", "created": "Fri, 6 Oct 2006 17:45:33 GMT" }, { "version": "v3", "created": "Fri, 6 Jul 2007 23:58:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Alnes", "H.", "" ], [ "Olaussen", "K.", "" ], [ "Ravndal", "F.", "" ], [ "Wehus", "I. K.", "" ] ]
quant-ph/0607082
Kiyoshi Tamaki
Kiyoshi Tamaki, Norbert L\"utkenhaus, Masato Koashi, Jamie Batuwantudawe
Unconditional security of the Bennett 1992 quantum key-distribution scheme with strong reference pulse
More detailed presentation and a bit modified security proof
Phys. Rev. A 80 032302 (2009)
10.1103/PhysRevA.80.032302
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove the unconditional security of the original Bennett 1992 protocol with strong reference pulse. We show that we may place a projection onto suitably defined qubit spaces before the receiver, which makes the analysis as simple as qubit-based protocols. Unlike the single-photon-based qubits, the qubits identified in this scheme are almost surely detected by the receiver even after a lossy channel. This leads to the key generation rate that is proportional to the channel transmission rate for proper choices of experimental parameters.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 12:56:19 GMT" }, { "version": "v2", "created": "Thu, 3 Sep 2009 02:48:22 GMT" } ]
2013-05-29T00:00:00
[ [ "Tamaki", "Kiyoshi", "" ], [ "Lütkenhaus", "Norbert", "" ], [ "Koashi", "Masato", "" ], [ "Batuwantudawe", "Jamie", "" ] ]
quant-ph/0607083
Todd Pittman
T.B. Pittman and J.D. Franson
Generation of Entangled Photon Holes using Quantum Interference
4 pages, color figures, submitted to Phys. Rev. A
Phys. Rev. A 74, 041801R (2006)
10.1103/PhysRevA.74.041801
null
quant-ph
null
In addition to photon pairs entangled in polarization or other variables, quantum mechanics also allows optical beams that are entangled through the absence of the photons themselves. These correlated absences, or ``entangled photon holes'', can lead to counter-intuitive nonlocal effects analogous to those of the more familiar entangled photon pairs. Here we report an experimental observation of photon holes generated using quantum interference effects to suppress the probability that two photons in a weak laser pulse will separate at an optical beam splitter.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 14:48:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Pittman", "T. B.", "" ], [ "Franson", "J. D.", "" ] ]
quant-ph/0607084
Rafa{\l} Demkowicz-Dobrza\'nski
Rafal Demkowicz-Dobrzanski, Andreas Buchleitner, Marek Kus, Florian Mintert
Evaluable multipartite entanglement measures: are multipartite concurrences entanglement monotones?
7 pages, 1 figure, minor changes - clarity of proofs improved
Phys. Rev. A 74, 052303 (2006)
10.1103/PhysRevA.74.052303
null
quant-ph
null
We discuss the monotonicity under local operations and classical communication (LOCC) of systematically constructed quantities aiming at quantification of entanglement properties of multipartite quantum systems. The so-called generalized multipartite concurrences can qualify as legitimate entanglement measures if they are monotonous under LOCC. In the paper we give a necessary and sufficient criterion for their monotonicity.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 18:33:05 GMT" }, { "version": "v2", "created": "Fri, 4 Aug 2006 07:48:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Demkowicz-Dobrzanski", "Rafal", "" ], [ "Buchleitner", "Andreas", "" ], [ "Kus", "Marek", "" ], [ "Mintert", "Florian", "" ] ]
quant-ph/0607085
Klaus Hornberger
Klaus Hornberger
Master equation for a quantum particle in a gas
5 pages; published version
Phys. Rev. Lett. 97, 060601 (2006)
10.1103/PhysRevLett.97.060601
null
quant-ph
null
The equation for the quantum motion of a Brownian particle in a gaseous environment is derived by means of S-matrix theory. This quantum version of the linear Boltzmann equation accounts non-perturbatively for the quantum effects of the scattering dynamics and describes decoherence and dissipation in a unified framework. As a completely positive master equation it incorporates both the known equation for an infinitely massive Brownian particle and the classical linear Boltzmann equation as limiting cases.
[ { "version": "v1", "created": "Thu, 13 Jul 2006 20:01:16 GMT" }, { "version": "v2", "created": "Tue, 5 Sep 2006 20:00:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Hornberger", "Klaus", "" ] ]
quant-ph/0607086
Daniel A. Lidar
Kaveh Khodjasteh and Daniel A. Lidar (USC)
Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
17 pages, including 2 figures. v2: added a section on decoupling spins in GaAs quantum dots, and some other improvements and additions
Phys. Rev. A. 75, 062310 (2007)
10.1103/PhysRevA.75.062310
null
quant-ph
null
Dynamical decoupling can be used to preserve arbitrary quantum states despite undesired interactions with the environment, using control Hamiltonians affecting the system only. We present a system-independent analysis of dynamical decoupling based on leading order decoupling error estimates, valid for bounded-strength environments. Using as a key tool a renormalization transformation of the effective system-bath coupling Hamiltonian, we delineate the reliability domain of dynamical decoupling used for quantum state preservation, in a general setting for a single qubit. We specifically analyze and compare two deterministic dynamical decoupling schemes -- periodic and concatenated -- and distinguish between two limiting cases of fast versus slow environments. We prove that concatenated decoupling outperforms periodic decoupling over a wide range of parameters. These results are obtained for both ``ideal'' (zero-width) and realistic (finite-width) pulses This work extends and generalizes our earlier work, Phys. Rev. Lett. 95, 180501 (2005).
[ { "version": "v1", "created": "Thu, 13 Jul 2006 20:42:16 GMT" }, { "version": "v2", "created": "Thu, 15 Mar 2007 05:03:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Khodjasteh", "Kaveh", "", "USC" ], [ "Lidar", "Daniel A.", "", "USC" ] ]
quant-ph/0607087
Paulina Marian
Paulina Marian and Tudor A. Marian
Continuous-variable teleportation in the characteristic-function description
12 pages
Physical Review A 74, 042306 (2006)
10.1103/PhysRevA.74.042306
null
quant-ph
null
We give a description of the continuous-variable teleportation protocol in terms of the characteristic functions of the quantum states involved. The Braunstein--Kimble protocol is written for an unbalanced homodyne measurement and arbitrary input and resource states. We show that the output of the protocol is a superposition between the input one-mode field and a classical one induced by measurement and classical communication. We choose to describe the input state distortion through teleportation by the average photon number of the measurement-induced field. Only in the case of symmetric resource states we find a relation between the optimal added noise and the minimal EPR correlations used to define inseparability.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 00:09:49 GMT" }, { "version": "v2", "created": "Tue, 26 Sep 2006 09:23:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Marian", "Paulina", "" ], [ "Marian", "Tudor A.", "" ] ]
quant-ph/0607088
Gabriel A. Durkin
Gabriel A. Durkin and Jonathan P. Dowling
Local and Global Distinguishability in Quantum Interferometry
4 pages, in submission, minor revisions
null
10.1103/PhysRevLett.99.070801
null
quant-ph
null
A statistical distinguishability based on relative entropy characterises the fitness of quantum states for phase estimation. This criterion is employed in the context of a Mach-Zehnder interferometer and used to interpolate between two regimes, of local and global phase distinguishability. The scaling of distinguishability in these regimes with photon number is explored for various quantum states. It emerges that local distinguishability is dependent on a discrepancy between quantum and classical rotational energy. Our analysis demonstrates that the Heisenberg limit is the true upper limit for local phase sensitivity. Only the `NOON' states share this bound, but other states exhibit a better trade-off when comparing local and global phase regimes.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 03:38:20 GMT" }, { "version": "v2", "created": "Wed, 20 Dec 2006 00:45:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Durkin", "Gabriel A.", "" ], [ "Dowling", "Jonathan P.", "" ] ]
quant-ph/0607089
Li Yang
Li Yang and Bao Li
Unconditionally Secure Quantum Bit Commitment Protocols Based on Correlation Immune Boolean Function
null
null
null
null
quant-ph
null
A class of quantum protocols of bit commitment is constructed based on the nonorthogonal states coding and the correlation immunity of some Boolean functions. The binding condition of these protocols is guaranteed mainly by the law of causality and the concealing condition is guaranteed by the indistinguishability between nonorthogonal quantum states and the correlation immunity of Boolean functions. We also give out an oblivious transfer protocol based on two-nonorthogonal states coding and build a bit commitment protocol on top of it. The relationship between these protocols and the well known no-go theorem is also discussed in details.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 17:48:38 GMT" }, { "version": "v2", "created": "Tue, 18 Jul 2006 14:44:15 GMT" }, { "version": "v3", "created": "Wed, 19 Jul 2006 11:34:18 GMT" }, { "version": "v4", "created": "Thu, 20 Jul 2006 15:39:09 GMT" }, { "version": "v5", "created": "Fri, 21 Jul 2006 19:25:11 GMT" }, { "version": "v6", "created": "Thu, 10 Aug 2006 23:05:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Yang", "Li", "" ], [ "Li", "Bao", "" ] ]
quant-ph/0607090
XiLi Zhang Dr.
X.L. Zhang, M. Feng, K.L. Gao
Efficient generation of entangled photons by cavity QED
7 pages, 3 figures, to appear in J. Phys. B
J. Phys. B: At. Mol. Opt. Phys. 39 (2006) 3211?C3219
10.1088/0953-4075/39/16/006
null
quant-ph
null
A potential scheme is proposed to generate complete sets of entangled photons in the context of cavity quantum electrodynamics (QED). The scheme includes twice interactions of atoms with cavities, in which the first interaction is made in two-mode optical cavities and the second one exists in a microwave cavity. In the optical cavities the atoms are resonant with the cavity modes, while the detuned interaction of the atoms with a single-mode of the microwave cavity is driven by a classical field. We show that our scheme is carried out with higher efficiency than previeous schemes, and is close to the reach of current technique.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 06:50:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Zhang", "X. L.", "" ], [ "Feng", "M.", "" ], [ "Gao", "K. L.", "" ] ]
quant-ph/0607091
Nobuyuki Takei
Nobuyuki Takei, Noriyuki Lee, Daiki Moriyama, J. S. Neergaard-Nielsen and Akira Furusawa
Time domain Einstein-Podolsky-Rosen correlation
4 pages, 4 figures
Phys. Rev. A 74, 060101(R) (2006).
10.1103/PhysRevA.74.060101
null
quant-ph
null
We experimentally demonstrate creation and characterization of Einstein-Podolsky-Rosen (EPR) correlation between optical beams in the time domain. The correlated beams are created with two independent continuous-wave optical parametric oscillators and a half beam splitter. We define temporal modes using a square temporal filter with duration $T$ and make time-resolved measurement on the generated state. We observe the correlations between the relevant conjugate variables in time domain which correspond to the EPR correlation. Our scheme is extendable to continuous variable quantum teleportation of a non-Gaussian state defined in the time domain such as a Schr\"odinger cat-like state.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 08:31:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Takei", "Nobuyuki", "" ], [ "Lee", "Noriyuki", "" ], [ "Moriyama", "Daiki", "" ], [ "Neergaard-Nielsen", "J. S.", "" ], [ "Furusawa", "Akira", "" ] ]
quant-ph/0607092
Jozef Ko\v{s}\'ik
Jozef Kosik, Vladimir Buzek, Mark Hillery
Quantum walks with random phase shifts
to appear in Phys. Rev. A (10 pages, 5 figures)
null
10.1103/PhysRevA.74.022310
null
quant-ph
null
We investigate quantum walks in multiple dimensions with different quantum coins. We augment the model by assuming that at each step the amplitudes of the coin state are multiplied by random phases. This model enables us to study in detail the role of decoherence in quantum walks and to investigate the quantum-to-classical transition. We also provide classical analogues of the quantum random walks studied. Interestingly enough, it turns out that the classical counterparts of some quantum random walks are classical random walks with a memory and biased coin. In addition random phase shifts "simplify" the dynamics (the cross interference terms of different paths vanish on average) and enable us to give a compact formula for the dispersion of such walks.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 10:08:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Kosik", "Jozef", "" ], [ "Buzek", "Vladimir", "" ], [ "Hillery", "Mark", "" ] ]
quant-ph/0607093
Geraldo A. Barbosa
Geraldo A. Barbosa
Fundamentals for immediate implementation of a quantum secured Internet
8 pages and 6 figures. A typo in the eigenvalues in version V1 was corrected and a few short comments added
null
null
null
quant-ph
null
This work shows how a secure Internet for users A and B can be implemented through a fast key distribution system that uses physical noise to encrypt information transmitted in deterministic form. Starting from a shared secret random sequence between them, long sequences of fresh random bits can be shared in a secure way and not involving a third party. The shared decrypted random bits -encrypted by noise at the source- are subsequently utilized for one-time-pad data encryption. The physical generated protection is not susceptible to advances in computation or mathematics. In particular, it does not depend on the difficulty of factoring numbers in primes. Also, there is no use of Linear Feed Back Shift Registers. The attacker has free access to the communication channels and may acquire arbitrary number of copies of the transmitted signal without lowering the security level. No intrusion detection method is needed.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 12:02:39 GMT" }, { "version": "v2", "created": "Wed, 16 Aug 2006 23:04:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Barbosa", "Geraldo A.", "" ] ]
quant-ph/0607094
Michael M. Wolf
Christina V. Kraus, Michael M. Wolf, J. Ignacio Cirac
Quantum simulations under translational symmetry
9 pages, 2 figures, references added, minor changes
Phys. Rev. A 75, 022303 (2007)
10.1103/PhysRevA.75.022303
null
quant-ph
null
We investigate the power of quantum systems for the simulation of Hamiltonian time evolutions on a cubic lattice under the constraint of translational invariance. Given a set of translationally invariant local Hamiltonians and short range interactions we determine time evolutions which can and those that can not be simulated. Whereas for general spin systems no finite universal set of generating interactions is shown to exist, universality turns out to be generic for quadratic bosonic and fermionic nearest-neighbor interactions when supplemented by all translationally invariant on-site Hamiltonians.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 12:16:57 GMT" }, { "version": "v2", "created": "Wed, 6 Dec 2006 12:55:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Kraus", "Christina V.", "" ], [ "Wolf", "Michael M.", "" ], [ "Cirac", "J. Ignacio", "" ] ]
quant-ph/0607095
Alexandre Matzkin
A. Matzkin
Can Bohmian trajectories account for quantum recurrences having classical periodicities?
null
Phys. Lett. A 361, 294 (2007).
10.1016/j.physleta.2006.09.052
null
quant-ph
null
Quantum systems in specific regimes display recurrences at the period of the periodic orbits of the corresponding classical system. We investigate the excited hydrogen atom in a magnetic field -- a prototypical system of 'quantum chaos' -- from the point of view of the de Broglie Bohm (BB) interpretation of quantum mechanics. The trajectories predicted by BB theory are computed and contrasted with the time evolution of the wavefunction, which shows pronounced features at times matching the period of closed orbits of the classical hydrogen in a magnetic field problem. Individual BB trajectories do not possess these periodicities and cannot account for the quantum recurrences. These recurrences can however be explained by BB theory by considering the ensemble of trajectories compatible with an initial statistical distribution, although none of the trajectories of the ensemble are periodic, rendering unclear the dynamical origin of the classical periodicities.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 12:27:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Matzkin", "A.", "" ] ]
quant-ph/0607096
Dr. Paul J. Werbos
Paul J. Werbos
Specification of the Q Hypothesis: An Alternative Mathematical Foundation for Physics
New brief appendix explains in simpler terms what Q and P hypotheses are, and why current empirical data appears to support the P hypothesis over both the Q hypothesis and the current standard model of physics, with reference to two new papers
null
null
null
quant-ph nucl-th
null
Mathematical tools related to coherence theory and classical-quantum equivalence, due to Wigner and Glauber, are essential to modern, practical and empirical understanding of electromagnetics in areas like quantum optics and nanoelectronics. This paper specifies how an extension of these same tools (especially Glauber's "Q" mapping) can be applied to strong nuclear forces as well, and provides a "bottom-up" approach to axiomatic unification of physics, grounded in empirical reality (dice included). The Q hypothesis also has implications for quantum measurement and quantum information technology. The basic hypothesis is that density matrices across all of quantum field theory can be "decoded" or mapped usefully into probability distributions for "classical" fields, by using a generalization of Glauber's Q mapping, which does the same for electromagnetics.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 13:22:29 GMT" }, { "version": "v2", "created": "Wed, 9 Aug 2006 16:04:10 GMT" }, { "version": "v3", "created": "Fri, 25 Apr 2008 12:16:10 GMT" } ]
2008-04-25T00:00:00
[ [ "Werbos", "Paul J.", "" ] ]
quant-ph/0607097
Nikolai Chuprikov
N L Chuprikov and O V Spiridonova
A new type of solution of the Schr\"odinger equation on a self-similar fractal potential
Latex, 4 pages, 7 eps-figures; the old figures are renewed and new ones are added
J. Phys. A: Math. Gen. 39 (2006) L559-L562
10.1088/0305-4470/39/37/L01
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Scattering a quantum particle by a self-similar fractal potential on a Cantor set is investigated. We present a new type of solution of the functional equation for the transfer matrix of this potential, which was derived earlier from the Schr\"odinger equation.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 14:12:42 GMT" }, { "version": "v2", "created": "Fri, 8 Sep 2006 03:25:00 GMT" }, { "version": "v3", "created": "Fri, 4 Jul 2008 09:25:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Chuprikov", "N L", "" ], [ "Spiridonova", "O V", "" ] ]
quant-ph/0607098
Volker Hannstein
Volker Hannstein, Gerhard C. Hegerfeldt
How to measure the wave-function absolute squared of a moving particle by using mirrors
4 pages, 5 figures
EPL, 77(2007) 60003
10.1209/0295-5075/77/60003
null
quant-ph
null
We consider a slow particle with wave function $\psi_t(\vec{x})$, moving freely in some direction. A mirror is briefly switched on around a time $T$ and its position is scanned. It is shown that the measured reflection probability then allows the determination of $|\psi_T(\vec{x})|^2$. Experimentally available atomic mirrors should make this method applicable to the center-of-mass wave function of atoms with velocities in the cm/s range.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 14:43:47 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2007 18:56:22 GMT" } ]
2007-06-19T00:00:00
[ [ "Hannstein", "Volker", "" ], [ "Hegerfeldt", "Gerhard C.", "" ] ]
quant-ph/0607099
Guang Wu
Guang Wu, Jie Chen, Yao Li, Lilin Xu and Heping Zeng
Prevent eavesdropping with bright reference pulses for practical quantum key distribution
18 pages, 3 figures
Phys. Rev. A 74, 062323 (2006)
10.1103/PhysRevA.74.062323
null
quant-ph
null
We analyze the application of bright reference pulses to prevent the photon-number-splitting attack in weak-pulse quantum key distribution. Under the optimal eavesdropping strategy as far as we know, the optimal parameters of bright reference and signal pulses can ensure a secure transmission distance up to 146 km. To realize the quantum key distribution scenario with up-present techniques, we present an experimentally feasible scheme to create a large splitting ratio between bright reference and signal pulses, and to switch the bright reference pulses away from signal pulses to avoid the after-pulse disturbance.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 15:17:16 GMT" }, { "version": "v2", "created": "Wed, 13 Sep 2006 04:37:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Wu", "Guang", "" ], [ "Chen", "Jie", "" ], [ "Li", "Yao", "" ], [ "Xu", "Lilin", "" ], [ "Zeng", "Heping", "" ] ]
quant-ph/0607100
Juan C. Agudelo
Juan C. Agudelo and Walter Carnielli
Quantum Computation via Paraconsistent Computation
null
null
null
null
quant-ph
null
We present an original model of paraconsistent Turing machines (PTMs), a generalization of the classical Turing machines model of computation using a paraconsistent logic. Next, we briefl y describe the standard models of quantum computation: quantum Turing machines and quantum circuits, and revise quantum algorithms to solve the so-called Deutsch's problem and Deutsch-Jozsa problem. Then, we show the potentialities of the PTMs model of computation simulating the presented quantum algorithms via paraconsistent algorithms. This way, we show that PTMs can resolve some problems in exponentially less time than any classical deterministic Turing machine. Finally, We show that it is not possible to simulate all characteristics (in particular entangled states) of quantum computation by the particular model of PTMs here presented, therefore we open the possibility of constructing a new model of PTMs by which it is feasible to simulate such states.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 18:47:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Agudelo", "Juan C.", "" ], [ "Carnielli", "Walter", "" ] ]
quant-ph/0607101
Onur Hosten
Onur Hosten, Matthew T. Rakher, Julio T. Barreiro, Nicholas A. Peters, and Paul Kwiat
Counterfactual computation revisited
12 Pages, 8 Figures, 4 Tables in total. Mitchison and Jozsa responded to our article and the current form includes a reply (5 pages) to them. The text is unchanged otherwise. We provide two abstracts: one for the original aricle, one for the updates
null
null
null
quant-ph
null
Mitchison and Jozsa recently suggested that the "chained-Zeno" counterfactual computation protocol recently proposed by Hosten et al. is counterfactual for only one output of the computer. This claim was based on the existing abstract algebraic definition of counterfactual computation, and indeed according to this definition, their argument is correct. However, a more general definition (physically adequate) for counterfactual computation is implicitly assumed by Hosten et. al. Here we explain in detail why the protocol is counterfactual and how the "history tracking" method of the existing description inadequately represents the physics underlying the protocol. Consequently, we propose a modified definition of counterfactual computation. Finally, we comment on one of the most interesting aspects of the error-correcting protocol.
[ { "version": "v1", "created": "Fri, 14 Jul 2006 20:36:30 GMT" }, { "version": "v2", "created": "Sun, 6 Aug 2006 23:15:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Hosten", "Onur", "" ], [ "Rakher", "Matthew T.", "" ], [ "Barreiro", "Julio T.", "" ], [ "Peters", "Nicholas A.", "" ], [ "Kwiat", "Paul", "" ] ]
quant-ph/0607102
Kurt Jacobs
Kurt Jacobs, Pavel Lougovski and Miles Blencowe
Continous Measurement of the Energy Eigenstates of a Nanomechanical Resonator without a Non-Demolition Probe
4 pages, revtex4, two eps figures. v2: new results, much improved implementation; v4: published version, some terminology changed
Phys. Rev. Lett. 98, 147201 (2007)
10.1103/PhysRevLett.98.147201
null
quant-ph cond-mat.mes-hall
null
We show that it is possible to perform a continuous measurement that continually projects a nano-resonator into its energy eigenstates by employing a linear coupling with a two-state system. This technique makes it possible to perform a measurement that exposes the quantum nature of the resonator by coupling it to a Cooper-pair Box and a superconducting transmission-line resonator.
[ { "version": "v1", "created": "Sat, 15 Jul 2006 03:35:39 GMT" }, { "version": "v2", "created": "Sat, 30 Sep 2006 04:06:01 GMT" }, { "version": "v3", "created": "Thu, 12 Oct 2006 02:40:48 GMT" }, { "version": "v4", "created": "Tue, 3 Apr 2007 03:15:48 GMT" } ]
2013-05-29T00:00:00
[ [ "Jacobs", "Kurt", "" ], [ "Lougovski", "Pavel", "" ], [ "Blencowe", "Miles", "" ] ]
quant-ph/0607103
Murray Olsen Dr
M.K. Olsen, A.S. Bradley
Tripartite entanglement from interlinked $\chi^{(2)}$ parametric interactions
15 pages, 5 figures
null
10.1103/PhysRevA.74.063809
null
quant-ph
null
We examine the tripartite entanglement properties of an optical system using interlinked $\chi^{(2)}$ interactions, recently studied experimentally in terms of its phase-matching properties by Bondani et al [M. Bondani, A. Allevi, E. Gevinti, A. Agliati, and A. Andreoni, arXiv:quant-ph/0604002.]. We show that the system does produce output modes which are genuinely tripartite entangled and that detection of this entanglement depends crucially on the correlation functions which are measured, with a three-mode Einstein-Podolsky-Rosen inequality being the most sensitive.
[ { "version": "v1", "created": "Sat, 15 Jul 2006 06:21:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Olsen", "M. K.", "" ], [ "Bradley", "A. S.", "" ] ]
quant-ph/0607104
Miloslav Znojil
Miloslav Znojil and Hendrik B. Geyer
Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
13 pages
Physics Letters B 640 (2006) 52 - 56
10.1016/j.physletb.2006.07.028
null
quant-ph
null
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a real spectrum, we construct all the eligible physical metrics and show that none of them admits a factorization CP in terms of an involutive charge operator C. Alternative ways of restricting the physical metric to a unique form are briefly discussed.
[ { "version": "v1", "created": "Sat, 15 Jul 2006 08:46:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Znojil", "Miloslav", "" ], [ "Geyer", "Hendrik B.", "" ] ]
quant-ph/0607105
Enrique Solano
Y. Delgado, L. Lamata, J. Leon, D. Salgado, and E. Solano
Sequential Quantum Cloning
4 pages, no figures. New version with changes. Accepted in Physical Review Letters
Phys. Rev. Lett. 98, 150502 (2007).
10.1103/PhysRevLett.98.150502
null
quant-ph
null
Not all unitary operations upon a set of qubits can be implemented by sequential interactions between each qubit and an ancillary system. We analyze the specific case of sequential quantum cloning 1->M and prove that the minimal dimension D of the ancilla grows linearly with the number of clones M. In particular, we obtain D = 2M for symmetric universal quantum cloning and D = M+1 for symmetric phase-covariant cloning. Furthermore, we provide a recipe for the required ancilla-qubit interactions in each step of the sequential procedure for both cases.
[ { "version": "v1", "created": "Sat, 15 Jul 2006 09:16:14 GMT" }, { "version": "v2", "created": "Thu, 8 Mar 2007 22:20:32 GMT" } ]
2015-06-26T00:00:00
[ [ "Delgado", "Y.", "" ], [ "Lamata", "L.", "" ], [ "Leon", "J.", "" ], [ "Salgado", "D.", "" ], [ "Solano", "E.", "" ] ]
quant-ph/0607106
Eyal Buks
Eyal Buks and M. P. Blencowe
Decoherence and Recoherence in a Vibrating RF SQUID
9 pages, 2 figures
null
10.1103/PhysRevB.74.174504
null
quant-ph cond-mat.mes-hall cond-mat.supr-con
null
We study an RF SQUID, in which a section of the loop is a freely suspended beam that is allowed to oscillate mechanically. The coupling between the RF SQUID and the mechanical resonator originates from the dependence of the total magnetic flux threading the loop on the displacement of the resonator. Motion of the latter affects the visibility of Rabi oscillations between the two lowest energy states of the RF SQUID. We address the feasibility of experimental observation of decoherence and recoherence, namely decay and rise of the visibility, in such a system.
[ { "version": "v1", "created": "Sun, 16 Jul 2006 12:45:47 GMT" }, { "version": "v2", "created": "Thu, 20 Jul 2006 16:36:44 GMT" }, { "version": "v3", "created": "Tue, 19 Sep 2006 06:44:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Buks", "Eyal", "" ], [ "Blencowe", "M. P.", "" ] ]
quant-ph/0607107
Peter Turner
Stephen D. Bartlett, Terry Rudolph, Barry C. Sanders and Peter S. Turner
Degradation of a quantum directional reference frame as a random walk
5 pages, no figures. Comments are welcome. v2: several changes to clarify the key results. v3: journal reference added, acknowledgements and references updated
J. Mod. Opt., 54, 2211 (2007)
10.1080/09500340701289254
null
quant-ph
null
We investigate if the degradation of a quantum directional reference frame through repeated use can be modeled as a classical direction undergoing a random walk on a sphere. We demonstrate that the behaviour of the fidelity for a degrading quantum directional reference frame, defined as the average probability of correctly determining the orientation of a test system, can be fit precisely using such a model. Physically, the mechanism for the random walk is the uncontrollable back-action on the reference frame due to its use in a measurement of the direction of another system. However, we find that the magnitude of the step size of this random walk is not given by our classical model and must be determined from the full quantum description.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 02:18:16 GMT" }, { "version": "v2", "created": "Thu, 12 Oct 2006 23:28:46 GMT" }, { "version": "v3", "created": "Wed, 10 Oct 2007 00:09:18 GMT" } ]
2007-10-10T00:00:00
[ [ "Bartlett", "Stephen D.", "" ], [ "Rudolph", "Terry", "" ], [ "Sanders", "Barry C.", "" ], [ "Turner", "Peter S.", "" ] ]
quant-ph/0607108
Ye Yeo
Ye Yeo
Teleportation with a Mixed State of Four Qubits and the Generalized Singlet Fraction
11 pages
null
10.1103/PhysRevA.74.052305
null
quant-ph
null
Recently, an explicit protocol ${\cal E}_0$ for faithfully teleporting arbitrary two-qubit states using genuine four-qubit entangled states was presented by us [Phys. Rev. Lett. {\bf 96}, 060502 (2006)]. Here, we show that ${\cal E}_0$ with an arbitrary four-qubit mixed state resource $\Xi$ is equivalent to a generalized depolarizing bichannel with probabilities given by the maximally entangled components of the resource. These are defined in terms of our four-qubit entangled states. We define the generalized singlet fraction ${\cal G}[\Xi]$, and illustrate its physical significance with several examples. We argue that in order to teleport arbitrary two-qubit states with average fidelity better than is classically possible, we have to demand that ${\cal G}[\Xi] > 1/2$. In addition, we conjecture that when ${\cal G}[\Xi] < 1/4$ then no entanglement can be teleported. It is shown that to determine the usefulness of $\Xi$ for ${\cal E}_0$, it is necessary to analyze ${\cal G}[\Xi]$.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 09:02:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Yeo", "Ye", "" ] ]
quant-ph/0607109
Stephen Adler
Stephen L. Adler
Normalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check
Tex: 14 pages 7/30/06: revisions to introduction, and references added 9/29/06: further minor revisions and references added
J.Phys. A39 (2006) 14067-14074
10.1088/0305-4470/39/45/015
null
quant-ph hep-ph hep-th math-ph math.MP
null
We show that when the Hornberger--Sipe calculation of collisional decoherence is carried out with the squared delta function a delta of energy instead of a delta of the absolute value of momentum, following a method introduced by Di\'osi, the corrected formula for the decoherence rate is simply obtained. The results of Hornberger and Sipe and of Di\'osi are shown to be in agreement. As an independent cross-check, we calculate the mean squared coordinate diffusion of a hard sphere implied by the corrected decoherence master equation, and show that it agrees precisely with the same quantity as calculated by a classical Brownian motion analysis.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 14:36:09 GMT" }, { "version": "v2", "created": "Mon, 31 Jul 2006 14:56:46 GMT" }, { "version": "v3", "created": "Fri, 29 Sep 2006 17:31:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Adler", "Stephen L.", "" ] ]
quant-ph/0607110
Lajos Di\'osi
Lajos Di\'osi
Notes on Certain Newton Gravity Mechanisms of Wave Function Localisation and Decoherence
8pp LaTex, Submitted to J. Phys. A: Math-Gen, for the special issue ``The Quantum Universe'' in honor of G. C. Ghirardi
J.Phys. A40 (2007) 2989-2995
10.1088/1751-8113/40/12/S07
null
quant-ph
null
Both the additional non-linear term in the Schr\"odinger equation and the additional non-Hamiltonian term in the von Neumann equation, proposed to ensure localisation and decoherence of macro-objects, resp., contain the same Newtonian interaction potential formally. We discuss certain aspects that are common for both equations. In particular, we calculate the enhancement of the proposed localisation and/or decoherence effects, which would take place if one could lower the conventional length-cutoff and resolve the mass density on the interatomic scale.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 15:47:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Diósi", "Lajos", "" ] ]
quant-ph/0607111
P. G. L. Porta Mana
P. G. L. Porta Mana, A. M{\aa}nsson, G. Bj\"ork
`Plausibilities of plausibilities': an approach through circumstances
30 pages, 3 figures. V2: clarified some points and corrected some typos. V3: corrected typos and added references
null
null
null
quant-ph cs.AI
null
Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties. The idea, which can be traced to Laplace and Jaynes, is that the usual inferential reasonings about the probability-like parameters of a statistical model can be conceived as reasonings about equivalence classes of `circumstances' - viz., real or hypothetical pieces of knowledge, like e.g. physical hypotheses, that are useful in assigning a probability and satisfy some additional logical properties - that are uniquely indexed by the probability distributions they lead to.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 17:14:19 GMT" }, { "version": "v2", "created": "Mon, 31 Jul 2006 17:48:45 GMT" }, { "version": "v3", "created": "Sun, 29 Apr 2007 12:09:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Mana", "P. G. L. Porta", "" ], [ "Månsson", "A.", "" ], [ "Björk", "G.", "" ] ]
quant-ph/0607112
Berry Groisman
Berry Groisman
Reliable entanglement transfer between pure quantum states
6 pages, 4 pictures; revised version; to appear in Phys. Rev. A
Phys. Rev. A 74, 042302 (2006)
10.1103/PhysRevA.74.042302
null
quant-ph
null
The problem of the reliable transfer of entanglement from one pure bipartite quantum state to another using local operations is analyzed. It is shown that in the case of qubits the amount that can be transferred is restricted to the difference between the entanglement of the two states. In the presence of a catalytic state the range of the transferrable amount broadens to a certain degree.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 17:09:20 GMT" }, { "version": "v2", "created": "Tue, 3 Oct 2006 11:38:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Groisman", "Berry", "" ] ]
quant-ph/0607113
Fernando Gomez
F. Gomez
The Role of Resonances in the Stochastic Limit
20 pages
null
null
null
quant-ph
null
In the stochastic limit the resonances play a fundamental role because they determine the generalized susceptivities which are the building blocks of all the physical information which survives in this limit. There are two sources of possible divergences: one related to the singularities of the form factor; another to the chaoticity of the spectrum. The situation will be illustrated starting from the example of the discrete part of the hydrogen atom in interaction with the electromagnetic field.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 17:55:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Gomez", "F.", "" ] ]
quant-ph/0607114
Mankei Tsang
Mankei Tsang (California Institute of Technology)
On the Relationship between Resolution Enhancement and Multiphoton Absorption Rate in Quantum Lithography
14 pages, 7 figures, submitted, v2: rewritten in response to referees' comments, v3: rewritten and extended, v4: accepted by Physical Review A
Physical Review A 75, 043813 (2007)
10.1103/PhysRevA.75.043813
null
quant-ph
null
The proposal of quantum lithography [Boto et al., Phys. Rev. Lett. 85, 2733 (2000)] is studied via a rigorous formalism. It is shown that, contrary to Boto et al.'s heuristic claim, the multiphoton absorption rate of a ``NOON'' quantum state is actually lower than that of a classical state with otherwise identical parameters. The proof-of-concept experiment of quantum lithography [D'Angelo et al., Phys. Rev. Lett. 87, 013602 (2001)] is also analyzed in terms of the proposed formalism, and the experiment is shown to have a reduced multiphoton absorption rate in order to emulate quantum lithography accurately. Finally, quantum lithography by the use of a jointly Gaussian quantum state of light is investigated, in order to illustrate the trade-off between resolution enhancement and multiphoton absorption rate.
[ { "version": "v1", "created": "Mon, 17 Jul 2006 19:27:56 GMT" }, { "version": "v2", "created": "Wed, 20 Sep 2006 23:01:15 GMT" }, { "version": "v3", "created": "Fri, 27 Oct 2006 05:44:03 GMT" }, { "version": "v4", "created": "Wed, 28 Feb 2007 20:12:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Tsang", "Mankei", "", "California Institute of Technology" ] ]
quant-ph/0607115
Andrew Scott Parkins
F. Dimer, B. Estienne, A.S. Parkins, H.J. Carmichael
Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
15 pages, 12 figures
null
10.1103/PhysRevA.75.013804
null
quant-ph
null
The Dicke model consisting of an ensemble of two-state atoms interacting with a single quantized mode of the electromagnetic field exhibits a zero-temperature phase transition at a critical value of the dipole coupling strength. We propose a scheme based on multilevel atoms and cavity-mediated Raman transitions to realise an effective Dicke system operating in the phase transition regime. Output light from the cavity carries signatures of the critical behavior which is analyzed for the thermodynamic limit where the number of atoms is very large.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 05:26:14 GMT" } ]
2015-06-26T00:00:00
[ [ "Dimer", "F.", "" ], [ "Estienne", "B.", "" ], [ "Parkins", "A. S.", "" ], [ "Carmichael", "H. J.", "" ] ]
quant-ph/0607116
Cunbing Huang
Xin-Wei Zha and Cun-Bing Huang
The expansion of orthogonal complete set and teleportation of an arbitrary two-qubit state
12 pages, 1 table
null
null
null
quant-ph
null
In accordance with the principle of superposition and operator rule, the state of the whole system composed of the state of the particles to be teleported and quantum channel can be expanded by Bell bases and transformation operator. Theoretically, if determinant of transformation operators is not zero, the teleportation can be realized only by performing an inverse transformation. Actually, if the transformation operator is not a unitary operation, then by using one auxiliary qubits, the teleportation can be realized only by performing a collective unitary transformation. Moreover, the further analysis of the relationship between collective unitary operation and transformation operators is discussed.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 06:32:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Zha", "Xin-Wei", "" ], [ "Huang", "Cun-Bing", "" ] ]
quant-ph/0607117
Ting Wang
Ting Wang, Xiaoguang Wang, and Zhe Sun
Entanglement oscillations in open Heisenberg chains
5 pages, 4 figures
null
10.1016/j.physa.2007.04.100
null
quant-ph
null
We study pairwise entanglements in spin-half and spin-one Heisenberg chains with an open boundary condition, respectively. We find out that the ground-state and the first-excited-state entanglements are equal for the three-site spin-one chain. When the number of sites L>3, the concurrences and negativities display oscillatory behaviors, and the oscillations of the ground-state and the first-excited-state entanglements are out of phase or in phase.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 07:41:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Ting", "" ], [ "Wang", "Xiaoguang", "" ], [ "Sun", "Zhe", "" ] ]
quant-ph/0607118
Daniel Comparat
Daniel Comparat (LAC)
General conditions for a quantum adiabatic evolution
4 pages
null
null
null
quant-ph
null
The smallness of the variation rate of the hamiltonian matrix elements compared to the (square of the) energy spectrum gap is usually believed to be the key parameter for a quantum adiabatic evolution. However it is only perturbatively valid for scaled timed hamiltonian and resonance processes as well as off resonance possible constructive St\"{u}ckelberg interference effects violate this usual condition for general hamiltionian. More general adiabatic condition and exact bounds for adiabatic quantum evolution are derived and studied in the framework of a two-level system. The usual criterion is restored for real two level hamiltonian with small number of monotonicity changes of the hamiltonian matrix elements and its derivative.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 07:10:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Comparat", "Daniel", "", "LAC" ] ]
quant-ph/0607119
Stefano Pironio
Miguel Navascues, Stefano Pironio, Antonio Acin
Bounding the set of quantum correlations
5 pages, no figures. v2: minor modifications
Phys. Rev. Lett. 98, 010401 (2007)
10.1103/PhysRevLett.98.010401
null
quant-ph
null
We introduce a hierarchy of conditions necessarily satisfied by any distribution P(ab) representing the probabilities for two separate observers to obtain outcomes a and b when making local measurements on a shared quantum state. Each condition in this hierarchy is formulated as a semidefinite program. Our approach can be used to obtain upper-bounds on the quantum violation of an arbitrary Bell inequality. It yields, for instance, tight bounds for the violations of the Collins et al. inequalities.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 08:18:11 GMT" }, { "version": "v2", "created": "Sat, 29 Mar 2008 21:36:15 GMT" } ]
2008-03-30T00:00:00
[ [ "Navascues", "Miguel", "" ], [ "Pironio", "Stefano", "" ], [ "Acin", "Antonio", "" ] ]
quant-ph/0607120
Ali Mostafazadeh
Ali Mostafazadeh and Seher Ozcelik
Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
published version, 11 pages, contributed to the Proceedings of the 5th Worksop on Quantization, Dualities, and Integrable Systems, held in Pamukkale University, Denizle, Turkey, 23-27 January, 2006
Turk J. Phys. 30, 437-443 (2006)
null
null
quant-ph
null
We give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators \eta_+, and \eta_+-pseudo-Hermitian operators acting in two-dimensional complex Euclidean space C^2. These operators represent the physical observables of a model whose Hamiltonian and Hilbert space are respectively H and C^2 endowed with the inner product defined by \eta_+. Our calculations allows for a direct demonstration of the fact that the choice of an irreducible family of observables fixes the metric operator up to a multiplicative factor.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 07:25:26 GMT" }, { "version": "v2", "created": "Tue, 28 Nov 2006 08:51:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Mostafazadeh", "Ali", "" ], [ "Ozcelik", "Seher", "" ] ]
quant-ph/0607121
Dirk Seidel
D. Seidel, J.G. Muga, G.C. Hegerfeldt
Scattering of two-level atoms by delta lasers: Exactly solvable models in atom optics
11 pages, 5 figures
null
10.1088/0953-4075/39/22/011
null
quant-ph
null
We study the scattering of two-level atoms at narrow laser fields, modeled by a $\delta$-shape intensity profile. The unique properties of these potentials allow us to give simple analytic solutions for one or two field zones. Several applications are studied: a single $\delta$-laser may serve as a detector model for atom detection and arrival-time measurements, either by means of fluorescence or variations in occupation probabilities. We show that, in principle, this ideal detector can measure the particle density, the quantum mechanical flux, arrival time distributions or local kinetic energy densities. Moreover, two spatially separated $\delta$-lasers are used to investigate quantized-motion effects on Ramsey interferometry.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 10:21:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Seidel", "D.", "" ], [ "Muga", "J. G.", "" ], [ "Hegerfeldt", "G. C.", "" ] ]
quant-ph/0607122
Quesne Christiane
B. Bagchi, P.S. Gorain, C. Quesne
Morse potential and its relationship with the Coulomb in a position-dependent mass background
9 pages, no figure; final published version
Mod. Phys. Lett. A 21 (2006) 2703-2708
10.1142/S0217732306021888
ULB/229/CQ/06/4
quant-ph math-ph math.MP
null
We provide some explicit examples wherein the Schr\"odinger equation for the Morse potential remains exactly solvable in a position-dependent mass background. Furthermore, we show how in such a context, the map from the full line $(- \infty, \infty)$ to the half line $(0, \infty)$ may convert an exactly solvable Morse potential into an exactly solvable Coulomb one. This generalizes a well-known property of constant-mass problems.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 12:34:59 GMT" }, { "version": "v2", "created": "Mon, 4 Dec 2006 13:36:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Bagchi", "B.", "" ], [ "Gorain", "P. S.", "" ], [ "Quesne", "C.", "" ] ]
quant-ph/0607123
Martin Plesch
Michal Sedlak and Martin Plesch
Towards optimization of quantum circuits
10 pages, 11 figures, minor changes+typos
Cent. Eur. J. Phys. vol. 6 no.1 p. 128-134 (2008)
10.2478/s11534-008-0039-8
null
quant-ph
null
Any unitary operation in quantum information processing can be implemented via a sequence of simpler steps - quantum gates. However, actual implementation of a quantum gate is always imperfect and takes a finite time. Therefore, seeking for a short sequence of gates - efficient quantum circuit for a given operation, is an important task. We contribute to this issue by proposing optimization of the well-known universal procedure proposed by Barenco et.al [1]. We also created a computer program which realizes both Barenco's decomposition and the proposed optimization. Furthermore, our optimization can be applied to any quantum circuit containing generalized Toffoli gates, including basic quantum gate circuits.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 13:04:17 GMT" }, { "version": "v2", "created": "Wed, 8 Nov 2006 15:31:16 GMT" } ]
2009-09-29T00:00:00
[ [ "Sedlak", "Michal", "" ], [ "Plesch", "Martin", "" ] ]
quant-ph/0607124
Roderich Tumulka
Roderich Tumulka
The "Unromantic Pictures" of Quantum Theory
37 pages LaTeX, no figures; written for special volume of J. Phys. A in honor of G.C. Ghirardi
J.Phys.A40:3245-3273,2007
10.1088/1751-8113/40/12/S22
null
quant-ph
null
I am concerned with two views of quantum mechanics that John S. Bell called ``unromantic'': spontaneous wave function collapse and Bohmian mechanics. I discuss some of their merits and report about recent progress concerning extensions to quantum field theory and relativity. In the last section, I speculate about an extension of Bohmian mechanics to quantum gravity.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 15:48:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Tumulka", "Roderich", "" ] ]
quant-ph/0607125
Jeffrey H. Shapiro
Baris I. Erkmen, Jeffrey H. Shapiro
Phase-conjugate optical coherence tomography
4 pages, 3 figures
null
10.1103/PhysRevA.74.041601
null
quant-ph
null
Quantum optical coherence tomography (Q-OCT) offers a factor-of-two improvement in axial resolution and the advantage of even-order dispersion cancellation when it is compared to conventional OCT (C-OCT). These features have been ascribed to the non-classical nature of the biphoton state employed in the former, as opposed to the classical state used in the latter. Phase-conjugate OCT (PC-OCT), introduced here, shows that non-classical light is not necessary to reap Q-OCT's advantages. PC-OCT uses classical-state signal and reference beams, which have a phase-sensitive cross-correlation, together with phase conjugation to achieve the axial resolution and even-order dispersion cancellation of Q-OCT with a signal-to-noise ratio that can be comparable to that of C-OCT.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 16:15:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Erkmen", "Baris I.", "" ], [ "Shapiro", "Jeffrey H.", "" ] ]
quant-ph/0607126
Ben Fortescue
Ben Fortescue, Hoi-Kwong Lo (Center for Quantum Information and Quantum Control, University of Toronto)
Random bipartite entanglement from W and W-like states
5 pages, 1 figure, RevTeX. v2 - upper bound on random distillation is expressed more generally and corollaries to the bound added. Minor notation changes. v3 - further notation changes (Ernd now designated Et), discussion of finite distillation rounds and single-copy bound on Et added. Theorem added - relative entropy is shown to be an upper bound to Et for all pure states. Discussion of W formation from EPRs (previously shown in others' work) removed. Some addition, removal and reordering of references
Phys. Rev. Lett. 98, 260501 (2007)
10.1103/PhysRevLett.98.260501
null
quant-ph
null
We describe a protocol for distilling maximally entangled bipartite states between random pairs of parties from those sharing a tripartite W state, and show that, rather surprisingly, the total distillation rate (the total number of EPR pairs distilled per W, irrespective of who shares them) may be done at a higher rate than distillation of bipartite entanglement between specified pairs of parties. Specifically, the optimal distillation rate for specified entanglement for the W has been previously shown to be the asymptotic entanglement of assistance of 0.92 EPR pairs per W, while our protocol can asymptotically distill 1 EPR pair per W between random pairs of parties, which we conjecture to be optimal. We thus demonstrate a tradeoff between the overall asymptotic rate of EPR distillation and the distribution of final EPR pairs between parties. We further show that by increasing the number of parties in the protocol that there exist states with fixed lower-bounded distillable entanglement for random parties but arbitrarily small distillable entanglement for specified parties.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 18:38:03 GMT" }, { "version": "v2", "created": "Wed, 20 Sep 2006 23:06:17 GMT" }, { "version": "v3", "created": "Fri, 23 Feb 2007 15:45:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Fortescue", "Ben", "", "Center for Quantum Information and\n Quantum Control, University of Toronto" ], [ "Lo", "Hoi-Kwong", "", "Center for Quantum Information and\n Quantum Control, University of Toronto" ] ]
quant-ph/0607127
Fred Thaheld H
Fred H. Thaheld
A modified approach to the measurement problem: Objective reduction in the retinal molecule prior to conformational change
8 pages. A new theory is advanced where the collapse of the wave function now takes place within the retinal molecule, specifically the retinal chromophore. This occurs prior to any retinal molecule conformational change and before any CSL-type reduction mechanism in the retinal rod cells
BioSystems 92 (2008) 114-116
null
null
quant-ph physics.bio-ph
null
A new analysis of the measurement problem reveals the possibility that collapse of the wavefunction may now take place just before photoisomerization of the rhodopsin molecule in the retinal rods. It is known that when a photon is initially absorbed by the retinal molecule which, along with opsin comprises the rhodopsin molecule, an electron in the highest pi orbital is immediately excited to a pi* orbital. This means that a measurement or transfer of information takes place at the quantum level before the retinal molecule commences the conformational change from cis to trans. This could have profound implications for resolving some of the foundational issues confronting quantum mechanics.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 23:21:24 GMT" }, { "version": "v2", "created": "Fri, 4 Jan 2008 16:01:10 GMT" }, { "version": "v3", "created": "Thu, 17 Apr 2008 06:00:00 GMT" } ]
2008-04-17T00:00:00
[ [ "Thaheld", "Fred H.", "" ] ]
quant-ph/0607128
Xuexi Yi
S. Li, H. Wang, Y. D. Sun, and X. X. Yi
Quantum heat engine with continuum working medium
5 pages, 3 figures
J. Phys. A 40, 8655-8664 (2007)
10.1088/1751-8113/40/30/004
null
quant-ph
null
We introduce a new quantum heat engine, in which the working medium is a quantum system with a discrete level and a continuum. Net work done by this engine is calculated and discussed. The results show that this quantum heat engine behaves like the two-level quantum heat engine in both the high-temperature and the low-temperature limits, but it operates differently in temperatures between them. The efficiency of this quantum heat engine is also presented and discussed.
[ { "version": "v1", "created": "Tue, 18 Jul 2006 23:35:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "S.", "" ], [ "Wang", "H.", "" ], [ "Sun", "Y. D.", "" ], [ "Yi", "X. X.", "" ] ]
quant-ph/0607129
ChengZhi Peng
Cheng-Zhi Peng, Jun Zhang, Dong Yang, Wei-Bo Gao, Huai-Xin Ma, Hao Yin, He-Ping Zeng, Tao Yang, Xiang-Bin Wang, Jian-Wei Pan
Experimental Long-Distance Decoy-State Quantum Key Distribution Based On Polarization Encoding
4 pages,3 figures
Phys. Rev. Lett. 98, 010505 (2007)
10.1103/PhysRevLett.98.010505
null
quant-ph
null
We demonstrate the decoy-state quantum key distribution (QKD) with one-way quantum communication in polarization space over 102km. Further, we simplify the experimental setup and use only one detector to implement the one-way decoy-state QKD over 75km, with the advantage to overcome the security loopholes due to the efficiency mismatch of detectors. Our experimental implementation can really offer the unconditionally secure final keys. We use 3 different intensities of 0, 0.2 and 0.6 for the pulses of source in our experiment. In order to eliminate the influences of polarization mode dispersion in the long-distance single-mode optical fiber, an automatic polarization compensation system is utilized to implement the active compensation.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 00:38:42 GMT" }, { "version": "v2", "created": "Thu, 17 Aug 2006 15:26:25 GMT" }, { "version": "v3", "created": "Tue, 9 Jan 2007 07:12:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Peng", "Cheng-Zhi", "" ], [ "Zhang", "Jun", "" ], [ "Yang", "Dong", "" ], [ "Gao", "Wei-Bo", "" ], [ "Ma", "Huai-Xin", "" ], [ "Yin", "Hao", "" ], [ "Zeng", "He-Ping", "" ], [ "Yang", "Tao", "" ], [ "Wang", "Xiang-Bin", "" ], [ "Pan", "Jian-Wei", "" ] ]
quant-ph/0607130
Zheng-Xin Liu
Zheng-Xin Liu, Xiao-Ting Zhou, Xin Liu, Xiong-Jun Liu, Jing-Ling Chen
Topological structures of adiabatic phase for multi-level quantum systems
15 pages, no figures. Accepted by J.Phys.A
J.Phys. A40 (2007) 1661-1676
10.1088/1751-8113/40/7/015
null
quant-ph
null
The topological properties of adiabatic gauge fields for multi-level (three-level in particular) quantum systems are studied in detail. Similar to the result that the adiabatic gauge field for SU(2) systems (e.g. two-level quantum system or angular momentum systems, etc) have a monopole structure, the curvature two-forms of the adiabatic holonomies for SU(3) three-level and SU(3) eight-level quantum systems are shown to have monopole-like (for all levels) or instanton-like (for the degenerate levels) structures.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 08:31:36 GMT" }, { "version": "v2", "created": "Fri, 4 Aug 2006 12:39:12 GMT" }, { "version": "v3", "created": "Fri, 15 Sep 2006 07:48:32 GMT" }, { "version": "v4", "created": "Thu, 11 Jan 2007 14:38:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Liu", "Zheng-Xin", "" ], [ "Zhou", "Xiao-Ting", "" ], [ "Liu", "Xin", "" ], [ "Liu", "Xiong-Jun", "" ], [ "Chen", "Jing-Ling", "" ] ]
quant-ph/0607131
Farhan Saif
Farhan Saif and Pierre Meystre
Coherent acceleration of material wavepackets in modulated optical fields
null
null
10.1103/PhysRevA.75.043610
null
quant-ph
null
We study the quantum dynamics of a material wavepacket bouncing off a modulated atomic mirror in the presence of a gravitational field. We find the occurrence of coherent accelerated dynamics for atoms beyond the familiar regime of dynamical localization. The acceleration takes place for certain initial phase space data and within specific windows of modulation strengths. The realization of the proposed acceleration scheme is within the range of present day experimental possibilities.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 19:03:59 GMT" } ]
2015-06-26T00:00:00
[ [ "Saif", "Farhan", "" ], [ "Meystre", "Pierre", "" ] ]
quant-ph/0607132
Jonathan Halliwell
J.J.Halliwell
Two Derivations of the Master Equation of Quantum Brownian Motion
19 pages, RevTex
null
10.1088/1751-8113/40/12/S11
null
quant-ph
null
Central to many discussion of decoherence is a master equation for the reduced density matrix of a massive particle experiencing scattering from its surrounding environment, such as that of Joos and Zeh. Such master equations enjoy a close relationship with spontaneous localization models, like the GRW model. This aim of this paper is to present two derivations of the master equation. The first derivation is a pedagogical model designed to illustrate the origins of the master equation as simply as possible, focusing on physical principles and without the complications of S-matrix theory. This derivation may serve as a useful tutorial example for students attempting to learn this subject area. The second is the opposite: a very general derivation using non-relativistic many body field theory. It reduces to the equation of the type given by Joos and Zeh in the one-particle sector, but correcting certain numerical factors which have recently become significant in connection with experimental tests of decoherence. This master equation also emphasizes the role of local number density as the ``preferred basis'' for decoherence in this model.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 13:45:12 GMT" } ]
2015-06-26T00:00:00
[ [ "Halliwell", "J. J.", "" ] ]
quant-ph/0607133
Giovanni Salesi
P. Falsaperla, G. Fonte and G. Salesi
Quantum Lyapunov Exponents
15 pages, 10 figures
Found. Phys. 32 (2002) 267
null
null
quant-ph
null
We show that it is possible to associate univocally with each given solution of the time-dependent Schroedinger equation a particular phase flow ("quantum flow") of a non-autonomous dynamical system. This fact allows us to introduce a definition of chaos in quantum dynamics (quantum chaos), which is based on the classical theory of chaos in dynamical systems. In such a way we can introduce quantities which may be appelled "Quantum Lyapunov Exponents". Our approach applies to a non-relativistic quantum-mechanical system of n charged particles; in the present work numerical calculations are performed only for the hydrogen atom. In the computation of the trajectories we first neglect the spin contribution to chaos, then we consider the spin effects in quantum chaos. We show how the quantum Lyapunov exponents can be evaluated and give several numerical results which describe some properties found in the present approach. Although the system is very simple and the classical counterpart is regular, the most non-stationary solutions of the corresponding Schroeodinger equation are "chaotic" according to our definition.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 18:05:31 GMT" }, { "version": "v2", "created": "Tue, 16 Jan 2007 10:35:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Falsaperla", "P.", "" ], [ "Fonte", "G.", "" ], [ "Salesi", "G.", "" ] ]
quant-ph/0607134
Alexander Pechen
Alexander Pechen
White noise approach to the low density limit of a quantum particle in a gas
This preprint is a minor modification of the published paper
QP-PQ: Quantum Probability and White Noise Analysis, Vol. 18, Eds. M. Sch\"urmann and U. Franz, (2005) 428--447
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quant-ph math-ph math.MP
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The white noise approach to the investigation of the dynamics of a quantum particle interacting with a dilute and in general non-equilibrium gaseous environment in the low density limit is outlined. The low density limit is the kinetic Markovian regime when only pair collisions (i.e., collisions of the test particle with one particle of the gas at one time moment) contribute to the dynamics. In the white noise approach one first proves that the appropriate operators describing the gas converge in the sense of appropriate matrix elements to certain operators of quantum white noise. Then these white noise operators are used to derive quantum white noise and quantum stochastic equations describing the approximate dynamics of the total system consisting of the particle and the gas. The derivation is given ab initio, starting from the exact microscopic quantum dynamics. The limiting dynamics is described by a quantum stochastic equation driven by a quantum Poisson process. This equation then applied to the derivation of quantum Langevin equation and linear Boltzmann equation for the reduced density matrix of the test particle. The first part of the paper describes the approach which was developed by L. Accardi, I.V. Volovich and the author and uses the Fock-antiFock (or GNS) representation for the CCR algebra of the gas. The second part presents the approach to the derivation of the limiting equations directly in terms of the correlation functions, without use of the Fock-antiFock representation. This approach simplifies the derivation and allows to express the strength of the quantum number process directly in terms of the one-particle $S$-matrix.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 20:07:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Pechen", "Alexander", "" ] ]
quant-ph/0607135
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 II
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null
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quant-ph
null
In this paper, the second in a series of two, we complete the derivation of the lowest-order wave function of a dimensional perturbation theory (DPT) treatment for the N-body quantum-confined system. Taking advantage of the symmetry of the zeroth-order configuration, we use group theoretic techniques and the FG matrix method from quantum chemistry to obtain analytic results for frequencies and normal modes. This method directly accounts for each two-body interaction, rather than an average interaction so that even lowest-order results include beyond-mean-field effects. It is thus appropriate for the study of both weakly and strongly interacting systems and the transition between them. While previous work has focused on energies, lowest-order wave functions yield important information such as the nature of excitations and expectation values of physical observables at low orders including density profiles. Higher orders in DPT also require as input the zeroth-order wave functions. In the earlier paper we presented a program for calculating the analytic normal-mode coordinates of the large-D system and illustrated the procedure by deriving the two simplest normal modes. In this paper we complete this analysis by deriving the remaining, and more complex, normal coordinates of the system.
[ { "version": "v1", "created": "Wed, 19 Jul 2006 20:09:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Dunn", "M.", "" ], [ "Watson", "D. K.", "" ], [ "Loeser", "J. G.", "" ] ]
quant-ph/0607136
Marcus Aguiar de
L.C. dos Santos and M.A.M. de Aguiar
Coherent State Path Integrals in the Weyl Representation
23 pages
J. Phys. A: Math. Gen. 39 (2006) 13465-13482.
10.1088/0305-4470/39/43/006
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quant-ph
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We construct a representation of the coherent state path integral using the Weyl symbol of the Hamiltonian operator. This representation is very different from the usual path integral forms suggested by Klauder and Skagerstan in \cite{Klau85}, which involve the normal or the antinormal ordering of the Hamiltonian. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. We show that the semiclassical limit of the coherent state propagator in Weyl representation is involves classical trajectories that are independent on the coherent states width. This propagator is also free from the phase corrections found in \cite{Bar01} for the two Klauder forms and provides an explicit connection between the Wigner and the Husimi representations of the evolution operator.
[ { "version": "v1", "created": "Thu, 20 Jul 2006 00:34:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Santos", "L. C. dos", "" ], [ "de Aguiar", "M. A. M.", "" ] ]
quant-ph/0607137
Leonid A. Krivitsky
G. Brida, M.V. Chekhova, M. Genovese, L.A. Krivitsky
Dispersion spreading of polarization-entangled states of light and two-photon interference
Extended version of our recent PRL paper. Submitted to PRA
Phys. Rev. A 75, 015801 (2007)
10.1134/S1054660X0704041X
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quant-ph
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We study the interference structure of the second-order intensity correlation function for polarization-entangled two-photon light obtained from type-II collinear frequency-degenerate spontaneous parametric down-conversion (SPDC). The structure is visualised due to the spreading of the two-photon amplitude as two-photon light propagates through optical fibre with group-velocity dispersion (GVD). Because of the spreading, polarization-entangled Bell states can be obtained without any birefringence compensation at the output of the nonlinear crystal; instead, proper time selection of the intensity correlation function is required. A birefringent material inserted at the output of the nonlinear crystal (either reducing the initial o-e delay between the oppositely polarized twin photons or increasing this delay) leads to a more complicated interference structure of the correlation function.
[ { "version": "v1", "created": "Thu, 20 Jul 2006 08:23:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Brida", "G.", "" ], [ "Chekhova", "M. V.", "" ], [ "Genovese", "M.", "" ], [ "Krivitsky", "L. A.", "" ] ]
quant-ph/0607138
N. L. Harshman
N. L. Harshman
Continuous-Discrete Entanglement: An Example with Non-Relativistic Particles
9 pages, zero figures. v.2. corrects typos and clarifies notion of shape-like entanglement. v.3. more of the same type of corrections
QIC 3 (2007) 273-280
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quant-ph
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This article discusses entanglement between two subsystems, one with discrete degrees of freedom and the other with continuous degrees of freedom. The overlap integral between continuous variable wave functions emerges as an important parameter to characterize this kind entanglement. ``Beam-like'' entanglement and ``shape-like'' entanglement are contrasted. One example of this kind of entanglement is between between the spin degrees of freedom and the momentum degrees of freedom for a non-relativistic particle. This intraparticle entanglement is Galilean invariant.
[ { "version": "v1", "created": "Thu, 20 Jul 2006 08:43:08 GMT" }, { "version": "v2", "created": "Mon, 27 Nov 2006 20:20:50 GMT" }, { "version": "v3", "created": "Wed, 24 Jan 2007 14:40:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Harshman", "N. L.", "" ] ]