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quant-ph/0701234
Grzegorz Chimczak
Grzegorz Chimczak and Ryszard Tana\'s
Improving fidelity in atomic state teleportation via cavity decay
8 pages, 7 figures, accepted for publication in Phys. Rev. A
Phys. Rev. A 75, 022317 (2007)
null
null
quant-ph
null
We propose a modified protocol of atomic state teleportation for the scheme proposed by Bose et al. (Phys. Rev. Lett. 83, 5158 (1999)). The modified protocol involves an additional stage in which quantum information distorted during the first stage is fully recovered by a compensation of the damping factor. The modification makes it possible to obtain a high fidelity of teleported state for cavities that are much worse than that required in the original protocol, i.e., their decay rates can be over 25 times larger. The improvement in the fidelity is possible at the expense of lowering the probability of success. We show that the modified protocol is robust against dark counts.
[ { "version": "v1", "created": "Tue, 30 Jan 2007 23:17:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Chimczak", "Grzegorz", "" ], [ "Tanaś", "Ryszard", "" ] ]
quant-ph/0701235
Luc Sanselme
G\'abor Ivanyos, Luc Sanselme and Miklos Santha
An efficient quantum algorithm for the hidden subgroup problem in extraspecial groups
10 pages
stacs 2007
null
null
quant-ph
null
Extraspecial groups form a remarkable subclass of p-groups. They are also present in quantum information theory, in particular in quantum error correction. We give here a polynomial time quantum algorithm for finding hidden subgroups in extraspecial groups. Our approach is quite different from the recent algorithms presented in [17] and [2] for the Heisenberg group, the extraspecial p-group of size p3 and exponent p. Exploiting certain nice automorphisms of the extraspecial groups we define specific group actions which are used to reduce the problem to hidden subgroup instances in abelian groups that can be dealt with directly.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 01:07:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Ivanyos", "Gábor", "" ], [ "Sanselme", "Luc", "" ], [ "Santha", "Miklos", "" ] ]
quant-ph/0701236
Eyob Alebachew Sete
Eyob Alebachew and K. Fesseha
Degenerate three-level laser with parametric amplifier and squeezed vacuum
null
null
null
null
quant-ph
null
Applying stochastic differential equations, we study the squeezing and statistical properties of the cavity and output modes of a degenerate three-level laser whose cavity contains a parametric amplifier and coupled to a squeezed vacuum reservoir. We consider the case in which the top and bottom levels of the three-level cascade atoms injected into the cavity are coupled by the pump mode emerging from the parametric amplifier. It turns out that the presence of the squeezed vacuum reservoir and the parametric amplifier contribute considerably to the mean photon number and the degree of squeezing of the cavity and output modes. It appears that almost perfect squeezing can be achieved at steady state and at threshold for a suitable choice of parameters.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 05:23:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Alebachew", "Eyob", "" ], [ "Fesseha", "K.", "" ] ]
quant-ph/0701237
Tommaso Toffoli
Lev B. Levitin, Tommaso Toffoli
Thermodynamic cost of reversible computing
5 pages; added two paragraphs and fixed a number of typos
null
10.1103/PhysRevLett.99.110502
null
quant-ph
null
Since reversible computing requires preservation of all information throughout the entire computational process, this implies that all errors that appear as a result of the interaction of the information-carrying system with uncontrolled degrees of freedom must be corrected. But this can only be done at the expense of an increase in the entropy of the environment corresponding to the dissipation, in the form of heat, of the ``noisy'' part of the system's energy. This paper gives an expression of that energy in terms of the effective noise temperature, and analyzes the relationship between the energy dissipation rate and the rate of computation. Finally, a generalized Clausius principle based on the concept of effective temperature is presented.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 08:23:38 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 23:52:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Levitin", "Lev B.", "" ], [ "Toffoli", "Tommaso", "" ] ]
quant-ph/0701238
J\'er\^ome Lodewyck
Jerome Lodewyck, Thierry Debuisschert, Raul Garcia-Patron, Rosa Tualle-Brouri, Nicolas J. Cerf and Philippe Grangier
Experimental implementation of non-Gaussian attacks on a continuous-variable quantum key distribution system
4 pages, 5 figures
Phys. Rev. Lett 98, 030503 (2007)
10.1103/PhysRevLett.98.030503
null
quant-ph
null
An intercept-resend attack on a continuous-variable quantum-key-distribution protocol is investigated experimentally. By varying the interception fraction, one can implement a family of attacks where the eavesdropper totally controls the channel parameters. In general, such attacks add excess noise in the channel, and may also result in non-Gaussian output distributions. We implement and characterize the measurements needed to detect these attacks, and evaluate experimentally the information rates available to the legitimate users and the eavesdropper. The results are consistent with the optimality of Gaussian attacks resulting from the security proofs.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 09:31:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Lodewyck", "Jerome", "" ], [ "Debuisschert", "Thierry", "" ], [ "Garcia-Patron", "Raul", "" ], [ "Tualle-Brouri", "Rosa", "" ], [ "Cerf", "Nicolas J.", "" ], [ "Grangier", "Philippe", "" ] ]
quant-ph/0701239
Christoph Simon
Christoph Simon, Hugues de Riedmatten, Mikael Afzelius, Nicolas Sangouard, Hugo Zbinden, Nicolas Gisin
Quantum Repeaters with Photon Pair Sources and Multi-Mode Memories
4 pages, 2 figures, to appear in PRL, accepted version
Phys. Rev. Lett. 98, 190503 (2007)
10.1103/PhysRevLett.98.190503
null
quant-ph
null
We propose a quantum repeater protocol which builds on the well-known DLCZ protocol [L.M. Duan, M.D. Lukin, J.I. Cirac, and P. Zoller, Nature 414, 413 (2001)], but which uses photon pair sources in combination with memories that allow to store a large number of temporal modes. We suggest to realize such multi-mode memories based on the principle of photon echo, using solids doped with rare-earth ions. The use of multi-mode memories promises a speedup in entanglement generation by several orders of magnitude and a significant reduction in stability requirements compared to the DLCZ protocol.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 12:07:45 GMT" }, { "version": "v2", "created": "Thu, 5 Apr 2007 09:54:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Simon", "Christoph", "" ], [ "de Riedmatten", "Hugues", "" ], [ "Afzelius", "Mikael", "" ], [ "Sangouard", "Nicolas", "" ], [ "Zbinden", "Hugo", "" ], [ "Gisin", "Nicolas", "" ] ]
quant-ph/0701240
Ditte M{\o}ller
Ditte Moller, Lars Bojer Madsen and Klaus Molmer
Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems
6 pages, 3 figures
null
10.1103/PhysRevA.75.062302
null
quant-ph
null
We consider stimulated Raman adiabatic passage (STIRAP) processes in tripod systems and show how to generate purely geometric phase changes of the quantum states involved. The geometric phases are controlled by three laser fields where pulse shapes, relative field strength and phases can be controlled. We present a robust set of universal gates for quantum computing based on these geometric phases: a one-qubit phase gate, a Hadamard gate and a two-qubit phase gate.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 12:13:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Moller", "Ditte", "" ], [ "Madsen", "Lars Bojer", "" ], [ "Molmer", "Klaus", "" ] ]
quant-ph/0701241
Miodrag Krmar
Vladan Pankovic, Milan Predojevic
Spontaneous Breaking of the Quantum Superposition
17 pages, no figures
null
null
NS-Ph-2/07
quant-ph
null
In this work spontaneous (non-dynamical) breaking (effective hiding) of the unitary quantum mechanical dynamical symmetry (superposition) is considered. It represents an especial but very interesting case of the general formalism of the spontaneous symmetry breaking (effective hiding). Conceptual analogies with spontaneous breaking of the gauge symmetry in Weinberg-Sallam's electro-weak interaction are pointed out. Also, consequences of the spontaneous superposition breaking in the measurement process are discussed. Measurement can be considered as a typical Landau's continuous phase transition with spontaneous superposition breaking (effective hiding) effectively corresponding to collapse. Here critical values of the order parameters are determined by Heisenberg's uncertainty relations.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 12:56:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Pankovic", "Vladan", "" ], [ "Predojevic", "Milan", "" ] ]
quant-ph/0701242
Alessandro Sergi
Alessandro Sergi
Deterministic constant-temperature dynamics for dissipative quantum systems
Revised version
null
10.1088/1751-8113/40/17/F05
null
quant-ph
null
A novel method is introduced in order to treat the dissipative dynamics of quantum systems interacting with a bath of classical degrees of freedom. The method is based upon an extension of the Nos\`e-Hoover chain (constant temperature) dynamics to quantum-classical systems. Both adiabatic and nonadiabatic numerical calculations on the relaxation dynamics of the spin-boson model show that the quantum-classical Nos\`e-Hoover chain dynamics represents the thermal noise of the bath in an accurate and simple way. Numerical comparisons, both with the constant energy calculation and with the quantum-classical Brownian motion treatment of the bath, show that the quantum-classical Nos\`e-Hoover Chain dynamics can be used to introduce dissipation in the evolution of a quantum subsystem even with just one degree of freedom for the bath. The algorithm can be computationally advantageous in modeling, within computer simulation, the dynamics of a quantum subsystem interacting with complex molecular environments.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 15:37:58 GMT" }, { "version": "v2", "created": "Thu, 8 Mar 2007 11:47:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Sergi", "Alessandro", "" ] ]
quant-ph/0701243
Thomas B. Bahder
Thomas B. Bahder, Paul A. Lopata
Phase Sensitivity of a Mach-Zehnder Quantum Sensor
4 pages, 4 figures
Conference proceedings of QCMC2006, The 8th International Conference on Quantum Communication, Measurement, and Computing, Tsukuba, Japan, 28th November - 3rd December, 2006
null
null
quant-ph
null
We investigate the dependence of the fidelity of a Mach-Zehnder quantum interferometer on the prior information about the phase, for Fock state input and for maximally entangled (N00N) state input. For no prior information, the fidelity for Fock state input is greater than for N00N state input. In the limit of a narrow distribution describing the prior information, we find that both Fock and N00N state inputs lead to nearly equal fidelity.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 18:47:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Bahder", "Thomas B.", "" ], [ "Lopata", "Paul A.", "" ] ]
quant-ph/0701244
Yong Zhang
Yong Zhang (1), Mo-Lin Ge (2) (1.Utah, 2. Chern Inst. Math.)
GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)
17 pages, latex
Quant.Inf.Proc.6:363-379,2007
null
null
quant-ph hep-th math-ph math.MP
null
Recent study suggests that there are natural connections between quantum information theory and the Yang--Baxter equation. In this paper, in terms of the generalized almost-complex structure and with the help of its algebra, we define the generalized Bell matrix to yield all the GHZ states from the product base, prove it to form a unitary braid representation and present a new type of solution of the quantum Yang--Baxter equation. We also study Yang-Baxterization, Hamiltonian, projectors, diagonalization, noncommutative geometry, quantum algebra and FRT dual algebra associated with this generalized Bell matrix.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 19:31:00 GMT" } ]
2008-11-26T00:00:00
[ [ "Zhang", "Yong", "" ], [ "Ge", "Mo-Lin", "" ] ]
quant-ph/0701245
Mark A. Rubin
Mark A. Rubin, Sumanth Kaushik
Signal-to-Noise Ratio in Squeezed-Light Laser Radar
Typos corrected
Appl. Opt. 48, 4597-4609 (2009)
10.1364/AO.48.004597
WW-13038
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The formalism for computing the signal-to-noise ratio (SNR) for laser radar is reviewed and applied to the tasks of target detection, direction-finding, and phase change estimation with squeezed light. The SNR for heterodyne detection of coherent light using a squeezed local oscillator is lower than that obtained using a coherent local oscillator. This is true for target detection, for phase estimation, and for direction-finding with a split detector. Squeezing the local oscillator also lowers SNR in balanced homodyne and heterodyne detection of coherent light. Loss places an upper bound on the improvement that squeezing can bring to direct-detection SNR.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 19:15:59 GMT" }, { "version": "v2", "created": "Wed, 31 Jan 2007 21:01:33 GMT" }, { "version": "v3", "created": "Sat, 25 Jul 2009 04:01:13 GMT" }, { "version": "v4", "created": "Thu, 30 Jul 2009 17:53:42 GMT" } ]
2009-08-12T00:00:00
[ [ "Rubin", "Mark A.", "" ], [ "Kaushik", "Sumanth", "" ] ]
quant-ph/0701246
Tam\'as V\'ertesi
T. V\'ertesi
Genuine tripartite entanglement in the non-interacting Fermi gas
9 pages, 4 figures, REVTeX
Phys. Rev. A 75, 042330 (2007)
10.1103/PhysRevA.75.042330
null
quant-ph
null
We study genuine tripartite entanglement shared among the spins of three localized fermions in the non-interacting Fermi gas at zero temperature. Firstly, we prove analytically with the aid of entanglement witnesses that in a particular configuration the three fermions are genuinely tripartite entangled. Then various three-fermion configurations are investigated in order to quantify and calculate numerically the amount of genuine tripartite entanglement present in the system. Further we give a lower and an upper limit to the maximum diameter of the three-fermion configuration below which genuine tripartite entanglement exists and find that this distance is comparable with the maximum separation between two entangled fermions. The upper and lower limit turn to be very close to each other indicating that the applied witness operator is well suited to reveal genuine tripartite entanglement in the collection of non-interacting fermions.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 20:53:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Vértesi", "T.", "" ] ]
quant-ph/0702001
Gerardo Adesso
Gerardo Adesso and Ivette Fuentes-Schuller
Correlation loss and multipartite entanglement across a black hole horizon
9 pages, 3 figures. Published version
Quant. Inf. Comput. 9, 0657-0665 (2009)
null
null
quant-ph astro-ph cond-mat.stat-mech gr-qc hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the Hawking effect on entangled fields. By considering a scalar field which is in a two-mode squeezed state from the point of view of freely falling (Kruskal) observers crossing the horizon of a Schwarzschild black hole, we study the degradation of quantum and classical correlations in the state from the perspective of Schwarzschild observers confined outside the horizon. Due to monogamy constraints on the entanglement distribution, we show that the lost bipartite entanglement is recovered as multipartite entanglement among modes inside and outside the horizon. In the limit of a small-mass black hole, no bipartite entanglement is detected outside the horizon, while the genuine multipartite entanglement interlinking the inner and outer regions grows infinitely.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 21:01:44 GMT" }, { "version": "v2", "created": "Tue, 26 Feb 2008 18:20:10 GMT" }, { "version": "v3", "created": "Tue, 26 May 2009 17:10:50 GMT" } ]
2009-05-26T00:00:00
[ [ "Adesso", "Gerardo", "" ], [ "Fuentes-Schuller", "Ivette", "" ] ]
quant-ph/0702002
Alexander I. Lvovsky
Martin Oberst, Frank Vewinger, A. I. Lvovsky
Preparation and probing of the ground state coherence in Rubidium
null
Optics Letters 32, 1755 (2007)
10.1364/OL.32.001755
null
quant-ph
null
We demonstrate the preparation and probing of the coherence between the hyperfine ground states |5S_{1/2}, F=1> and |5S_{1/2}, F=2> of the Rubidium 87 isotope. The effect of various coherence control techniques, i.e. fractional Stimulated Raman Adiabatic Passage and Coherent Population Return on the coherence are investigated. These techniques are implemented using nearly degenerate pump and Stokes lasers at 795nm (Rubidium D1 transition) which couple the two hyperfine ground states via the excited state |5P_{1/2}, F=1> through a resonant two-photon process, in which a coherent superposition of the two hyperfine ground states is established. The medium is probed by an additional weak laser, which generates a four-wave mixing signal proportional to the ground state coherence, and allows us to monitor its evolution in time. The experimental data are compared with numerical simulations.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 22:10:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Oberst", "Martin", "" ], [ "Vewinger", "Frank", "" ], [ "Lvovsky", "A. I.", "" ] ]
quant-ph/0702003
Fernando Brandao
Fernando G.S.L. Brandao, Michael J. Hartmann, Martin B. Plenio
Quantum phase transitions with Photons and Polaritons
7 pages, contribution for the proceedings of the QCMC06
null
null
null
quant-ph
null
We show that a system of polaritons - combined atom and photon excitations - in an array of coupled cavities, under an experimental set-up usually considered in electromagnetically induced transparency, is described by the Bose-Hubbard model. This opens up the possibility of using this system as a quantum simulator, allowing for the observation of quantum phase transitions and for the measurement of local properties, such as single site observables. All the basic building blocks of the proposed setting have already been achieved experimentally, showing the feasibility of its realization in the near future.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 22:39:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Brandao", "Fernando G. S. L.", "" ], [ "Hartmann", "Michael J.", "" ], [ "Plenio", "Martin B.", "" ] ]
quant-ph/0702004
David Gross
David Gross
Non-negative Wigner functions in prime dimensions
5 pages. Special case of a result proved in quant-ph/0602001. The proof is greatly simplified, making the general case more accessible. To appear in Appl. Phys. B as part of the proceedings of the 2006 DPG Spring Meeting (Quantum Optics and Photonics section)
Appl. Phys. B 86, 367-370 (2007)
10.1007/s00340-006-2510-9
null
quant-ph
null
According to a classical result due to Hudson, the Wigner function of a pure, continuous variable quantum state is non-negative if and only if the state is Gaussian. We have proven an analogous statement for finite-dimensional quantum systems. In this context, the role of Gaussian states is taken on by stabilizer states. The general results have been published in [D. Gross, J. Math. Phys. 47, 122107 (2006)]. For the case of systems of odd prime dimension, a greatly simplified proof can be employed which still exhibits the main ideas. The present paper gives a self-contained account of these methods.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 22:53:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Gross", "David", "" ] ]
quant-ph/0702005
Jon Yard
Patrick Hayden, Michal Horodecki, Andreas Winter and Jon Yard
A decoupling approach to the quantum capacity
13 pages, published version
Open Syst. Inf. Dyn. 15 (2008) 7-19
10.1142/S1230161208000043
null
quant-ph cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give a short proof that the coherent information is an achievable rate for the transmission of quantum information through a noisy quantum channel. Our method is to produce random codes by performing a unitarily covariant projective measurement on a typical subspace of a tensor power state. We show that, provided the rank of each measurement operator is sufficiently small, the transmitted data will with high probability be decoupled from the channel's environment. We also show that our construction leads to random codes whose average input is close to a product state and outline a modification yielding unitarily invariant ensembles of maximally entangled codes.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 17:53:04 GMT" }, { "version": "v2", "created": "Wed, 16 Nov 2016 05:29:48 GMT" } ]
2016-11-17T00:00:00
[ [ "Hayden", "Patrick", "" ], [ "Horodecki", "Michal", "" ], [ "Winter", "Andreas", "" ], [ "Yard", "Jon", "" ] ]
quant-ph/0702006
Michal Horodecki
Michal Horodecki, Seth Lloyd and Andreas Winter
Quantum coding theorem from privacy and distinguishability
Presented at the NATO ARW "Quantum Communication and Security", 10-13 September 2006, Gdansk, Poland; final version to appear in OSID special issue
Open Syst. Inf. Dyn. 15 (2008) 47-69
null
null
quant-ph
null
We prove direct quantum coding theorem for random quantum codes. The problem is separated into two parts: proof of distinguishability of codewords by receiver, and that of indistinguishability of codewords by environment (privacy). For a large class of codes, only privacy has to be checked.
[ { "version": "v1", "created": "Wed, 31 Jan 2007 23:39:24 GMT" }, { "version": "v2", "created": "Sat, 19 Jan 2008 00:05:37 GMT" } ]
2008-04-03T00:00:00
[ [ "Horodecki", "Michal", "" ], [ "Lloyd", "Seth", "" ], [ "Winter", "Andreas", "" ] ]
quant-ph/0702007
Jie-Hong Jiang
Jie-Hong R. Jiang (1), Dah-Wei Chiou (2), Cheng-En Wu (3) ((1) Department of Electrical Engineering, National Taiwan University, Taiwan, (2) Department of Physics, University of California, Berkeley, USA, (3) Department of Physics, National Tsing Hua University, Taiwan)
Quantum Mechanical Search and Harmonic Perturbation
6 pages, 4 figures, revtex4
Quantum Information Processing 6(5), (Oct. 2007) 349-362
10.1007/s11128-007-0062-5
null
quant-ph
null
Perturbation theory in quantum mechanics studies how quantum systems interact with their environmental perturbations. Harmonic perturbation is a rare special case of time-dependent perturbations in which exact analysis exists. Some important technology advances, such as masers, lasers, nuclear magnetic resonance, etc., originated from it. Here we add quantum computation to this list with a theoretical demonstration. Based on harmonic perturbation, a quantum mechanical algorithm is devised to search the ground state of a given Hamiltonian. The intrinsic complexity of the algorithm is continuous and parametric in both time T and energy E. More precisely, the probability of locating a search target of a Hamiltonian in N-dimensional vector space is shown to be 1/(1+ c N E^{-2} T^{-2}) for some constant c. This result is optimal. As harmonic perturbation provides a different computation mechanism, the algorithm may suggest new directions in realizing quantum computers.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 07:18:33 GMT" }, { "version": "v2", "created": "Fri, 14 Sep 2007 15:50:08 GMT" } ]
2008-01-01T00:00:00
[ [ "Jiang", "Jie-Hong R.", "" ], [ "Chiou", "Dah-Wei", "" ], [ "Wu", "Cheng-En", "" ] ]
quant-ph/0702008
Dorit Aharonov
Dorit Aharonov, Itai Arad, Elad Eban, Zeph Landau
Polynomial Quantum Algorithms for Additive approximations of the Potts model and other Points of the Tutte Plane
82 pages. Up to page 36: the algorithm. From there on: The universality proof. Most readers will want to read only the first part. Presented at QIP 2007, Brisbane, Australia
null
null
null
quant-ph
null
In the first 36 pages of this paper, we provide polynomial quantum algorithms for additive approximations of the Tutte polynomial, at any point in the Tutte plane, for any planar graph. This includes as special cases the AJL algorithm for the Jones polynomial, the partition function of the Potts model for any weighted planer graph at any temperature, and many other combinatorial graph properties. In the second part of the paper we prove the quantum universality of many of the problems for which we provide an algorithm, thus providing a large set of new quantum-complete problems. Unfortunately, we do not know that this holds for the Potts model case; this is left as an important open problem. The main progress in this work is in our ability to handle non-unitary representations of the Temperley Lieb algebra, both when applying them in the algorithm, and, more importantly, in the proof of universality, when encoding quantum circuits using non-unitary operators. To this end we develop many new tools, that allow proving density and applying the Solovay Kitaev theorem in the case of non-unitary matrices. We hope that these tools will open up new possibilities of using non-unitary reps in other quantum computation contexts.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 11:35:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Aharonov", "Dorit", "" ], [ "Arad", "Itai", "" ], [ "Eban", "Elad", "" ], [ "Landau", "Zeph", "" ] ]
quant-ph/0702009
Dorje C. Brody
Dorje C. Brody, Daniel W. Hook, and Lane P. Hughston
Unitarity, ergodicity, and quantum thermodynamics
8 pages
J.Phys.A40:F503-F510,2007
10.1088/1751-8113/40/26/F01
null
quant-ph hep-th
null
This paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. We prove a new ergodic theorem for closed quantum systems which shows that the equilibrium state of the system takes the form of a grand canonical density matrix involving a complete commuting set of observables including the Hamiltonian. The result obtained, which is derived for a generic finite-dimensional quantum system, shows that the equilibrium state arising from unitary evolution is always expressible in the canonical form, without the consideration of a system-bath decomposition.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 18:09:36 GMT" }, { "version": "v2", "created": "Wed, 13 Jun 2007 10:43:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Brody", "Dorje C.", "" ], [ "Hook", "Daniel W.", "" ], [ "Hughston", "Lane P.", "" ] ]
quant-ph/0702010
L. G. Suttorp
L.G. Suttorp
Field quantization in inhomogeneous anisotropic dielectrics with spatio-temporal dispersion
24 pages
Journal of Physics A 40 (2007)3697
10.1088/1751-8113/40/13/025
ITFA-2007-08
quant-ph
null
A quantum damped-polariton model is constructed for an inhomogeneous anisotropic linear dielectric with arbitrary dispersion in space and time. The model Hamiltonian is completely diagonalized by determining the creation and annihilation operators for the fundamental polariton modes as specific linear combinations of the basic dynamical variables. Explicit expressions are derived for the time-dependent operators describing the electromagnetic field, the dielectric polarization and the noise term in the latter. It is shown how to identify bath variables that generate the dissipative dynamics of the medium.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 13:57:28 GMT" }, { "version": "v2", "created": "Fri, 16 Feb 2007 14:10:55 GMT" } ]
2018-08-16T00:00:00
[ [ "Suttorp", "L. G.", "" ] ]
quant-ph/0702011
Angelo Bassi Dr.
A. Bassi, D.G.M. Salvetti
The quantum theory of measurement within dynamical reduction models
24 pages, RevTeX. Minor changes made
J. Phys. A: Math. Theor. 40, 9859-9876 (2007).
10.1088/1751-8113/40/32/011
null
quant-ph
null
We analyze in mathematical detail, within the framework of the QMUPL model of spontaneous wave function collapse, the von Neumann measurement scheme for the measurement of a 1/2 spin particle. We prove that, according to the equation of the model: i) throughout the whole measurement process, the pointer of the measuring device is always perfectly well localized in space; ii) the probabilities for the possible outcomes are distributed in agreement with the Born probability rule; iii) at the end of the measurement the state of the microscopic system has collapsed to the eigenstate corresponding to the measured eigenvalue. This analysis shows rigorously how dynamical reduction models provide a consistent solution to the measurement problem of quantum mechanics.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 15:27:02 GMT" }, { "version": "v2", "created": "Wed, 16 May 2007 21:38:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Bassi", "A.", "" ], [ "Salvetti", "D. G. M.", "" ] ]
quant-ph/0702012
C. A. Chatzidimitriou-Dreismann
C. Aris Chatzidimitriou-Dreismann
Attosecond neutron Compton scattering from protons
9 pages, 1 figure, CEWQO-Conference, Vienna 2006
Acta Phys. Hung. B 26/1-2, 203-212 (2006)
null
null
quant-ph
null
The effect of "anomalous" scattering of neutrons and electrons from protons in the electron-volt energy-transfer range is considered, and related experimental results are mentioned. A recent independent confirmation of this effect with a new data analysis procedure is presented. Due to the very short characteristic scattering time, there is no well defined separation of time scales of electronic and protonic motions. An outline of a proposed theoretical interpretation is presented, which is based on the fact that scattering protons represent \textit{open} quantum systems, thus being subject to decoherence.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 15:43:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Chatzidimitriou-Dreismann", "C. Aris", "" ] ]
quant-ph/0702013
Gerardo Aquino
G. Aquino and B. Mehmani
Simultaneous Measurement of Non-Commuting Observables
10 pages, 1 figure; Proceedings of the Workshop "Beyond the Quantum" World Scientific (2007)
null
10.1142/9789812771186_0009
null
quant-ph
null
It is shown that the full unknown state of a spin-1/2 system, S, which, within Born's statistical interpretation, is meant as the state of an ensamble of identically prepared systems, can be determined with a simultaneous measurement with the help of an "assistant" system A whose initial state is known. The idea is to let S and A interact with each other in a known way during a proper interaction time, to measure simultaneously two observables, one of S and one of A and their correlation. One thus determines the three unknown components of the polarization vector of S by means of repeated experiments using a unique setting. In this way one can measure simultaneously all the non-commutative observables of S, which might seem prohibited in quantum mechanics.
[ { "version": "v1", "created": "Thu, 1 Feb 2007 21:47:11 GMT" } ]
2017-08-23T00:00:00
[ [ "Aquino", "G.", "" ], [ "Mehmani", "B.", "" ] ]
quant-ph/0702014
Lorenza Viola
Lorenza Viola, Winton G. Brown
Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
17 pages, 3 figures
null
10.1088/1751-8113/40/28/S17
null
quant-ph
null
We establish contact between the delocalization properties of pure quantum states, as quantified by their number of principal components, and the average generalized entanglement properties, as quantified by purity measures relative to different observable sets. We find that correlations between products of state vector components with respect to Hamming distance play an important role in the structure of subsystem-based purity measures. In particular, we derive general conditions under which the amount of global multipartite entanglement relates to the inverse participation ratio averaged over a maximal set of mutually unbiased product bases. Furthermore, we provide a method for computing the expected amount of generalized entanglement with respect to an arbitrary observable set for random pure states. Specific examples and an explicit application to a disordered quantum spin chain are discussed.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 01:55:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Viola", "Lorenza", "" ], [ "Brown", "Winton G.", "" ] ]
quant-ph/0702015
Hoshang Heydari
Hoshang Heydari
Topological quantum gate entangler for a multi-qubit state
6 pages
J. Phys. A: Math. Theor. 40 (2007) 9877 - 9882
10.1088/1751-8113/40/32/012
null
quant-ph
null
We establish a relation between topological and quantum entanglement for a multi-qubit state by considering the unitary representations of the Artin braid group. We construct topological operators that can entangle multi-qubit state. In particular we construct operators that create quantum entanglement for multi-qubit states based on the Segre ideal of complex multi-projective space. We also in detail discuss and construct these operators for two-qubit and three-qubit states.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 05:50:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
quant-ph/0702016
Dr. Georgios M. Nikolopoulos
V. Kost'ak, G. M. Nikolopoulos and I. Jex
Perfect state transfer in networks of arbitrary topology and coupling configuration
12 pages, 2 figures, to appear in Phys. Rev. A
Phys. Rev. A 75, 042319 (2007)
10.1103/PhysRevA.75.042319
null
quant-ph
null
A general formalism of the problem of perfect state transfer is presented. We show that there are infinitely many Hamiltonians which may provide solution to this problem. In a first attempt to give a classification of them we investigate their possible forms and the related dynamics during the transfer. Finally, we show how the present formalism can be used for the engineering of perfect quantum wires of various topologies and coupling configurations.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 08:25:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Kost'ak", "V.", "" ], [ "Nikolopoulos", "G. M.", "" ], [ "Jex", "I.", "" ] ]
quant-ph/0702017
Kai Chen
Kai Chen, Sergio Albeverio and Shao-Ming Fei
Concurrence-based entanglement measure for Werner States
5 pages, no figure
Rep. Math. Phys. 58, 325-334 (2006)
10.1016/S0034-4877(07)00003-1
null
quant-ph
null
We give explicit expressions for entanglement measures of Werner states in arbitrary dimensions in terms of concurrence and tangle. We show that an optimal ensemble decomposition for a joint density matrix of a Werner state can achieve the minimum average concurrence and tangle simultaneously. Furthermore, the same decomposition also attains entanglement of formation for Werner states.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 10:15:52 GMT" } ]
2012-10-30T00:00:00
[ [ "Chen", "Kai", "" ], [ "Albeverio", "Sergio", "" ], [ "Fei", "Shao-Ming", "" ] ]
quant-ph/0702018
John H. Field
J. H. Field
On the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum Mechanics
8 pages, v2 has typos corrected and small text additions. Version submitted to Phys. Rev. A
null
null
null
quant-ph
null
It is shown that the Einstein-Podolsky-Rosen conclusion concerning the `incompleteness' of Quantum Mechanics does not follow from the results of their proposed gedanken experiment, but is rather stated as a premise. If it were possible to perform the experiment it would, in fact, show that Quantum Mechanics is `complete' for the observables discussed. Because, however, of the non square-integrable nature of the wave function, the proposed experiment gives vanishing probabilities for measurements performed in finite intervals of configuration or momentum space. Hence no conclusion as to the `completeness', or otherwise, of Quantum Mechanics can be drawn from the experiment.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 10:54:07 GMT" }, { "version": "v2", "created": "Fri, 7 Sep 2007 13:11:40 GMT" } ]
2011-11-09T00:00:00
[ [ "Field", "J. H.", "" ] ]
quant-ph/0702019
Toshio Ohshima
Toshio Ohshima, Artur Ekert, Daniel K. L. Oi, Dagomir Kaslizowski, L. C. Kwek
Robust state transfer and rotation through a spin chain via dark passage
4 pages, changed to simpler notations, typo corrected in version 2 typo corrected and minor changes in the discussion part made in version 3
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Quantum state transfer through a spin chain via adiabatic dark passage is proposed. This technique is robust against control field fluctuations and unwanted environmental coupling of intermediate spins. Our method can be applied to spin chains with more than three spins. We also propose single qubit rotation using this technique.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 13:03:31 GMT" }, { "version": "v2", "created": "Mon, 12 Feb 2007 13:47:31 GMT" }, { "version": "v3", "created": "Mon, 4 Aug 2008 14:41:03 GMT" } ]
2008-08-04T00:00:00
[ [ "Ohshima", "Toshio", "" ], [ "Ekert", "Artur", "" ], [ "Oi", "Daniel K. L.", "" ], [ "Kaslizowski", "Dagomir", "" ], [ "Kwek", "L. C.", "" ] ]
quant-ph/0702020
Janet Anders
Janet Anders, Damian Markham, Vlatko Vedral, Michal Hajdu\v{s}ek
How much of one-way computation is just thermodynamics?
10 pages, 4 figures. Argument made clearer in line with referee comments, this final version is 4 pages longer
Found. Phys. 38, 506 (2008)
10.1007/s10701-008-9218-0
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we argue that one-way quantum computation can be seen as a form of phase transition with the available information about the solution of the computation being the order parameter. We draw a number of striking analogies between standard thermodynamical quantities such as energy, temperature, work, and corresponding computational quantities such as the amount of entanglement, time, potential capacity for computation, respectively. Aside from being intuitively pleasing, this picture allows us to make novel conjectures, such as an estimate of the necessary critical time to finish a computation and a proposal of suitable architectures for universal one-way computation in 1D.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 15:57:45 GMT" }, { "version": "v2", "created": "Fri, 20 Jun 2008 12:38:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Anders", "Janet", "" ], [ "Markham", "Damian", "" ], [ "Vedral", "Vlatko", "" ], [ "Hajdušek", "Michal", "" ] ]
quant-ph/0702021
Nicolas Gisin
Nicolas Gisin
Bell inequalities: many questions, a few answers
Contribution to a Festschrift dedicated to Abner Shimony. 8 pages (May'07: minor corrections and additional references)
In essays in honour of Abner Shimony, Eds Wayne C. Myrvold and Joy Christian, The Western Ontario Series in Philosophy of Science, pp 125-140, Springer 2009
null
null
quant-ph
null
What can be more fascinating than {\it experimental metaphysics}, to quote one of Abner Shimony's enlightening expressions? Bell inequalities are at the heart of the study of nonlocality. I present a list of open questions, organised in three categories: fundamental; linked to experiments; and exploring nonlocality as a resource. New families of inequalities for binary outcomes are presented.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 17:53:53 GMT" }, { "version": "v2", "created": "Sun, 13 May 2007 13:00:25 GMT" } ]
2013-01-22T00:00:00
[ [ "Gisin", "Nicolas", "" ] ]
quant-ph/0702022
Philippe Raynal
Philippe Raynal, Norbert L\"utkenhaus
Optimal unambiguous state discrimination of two density matrices: A second class of exact solutions
final published version: 18 pages, 5 figures. to appear in PRA
Phys. Rev. A Vol 76, 052322 (2007)
10.1103/PhysRevA.76.052322
null
quant-ph
null
We consider the Unambiguous State Discrimination (USD) of two mixed quantum states. We study the rank and the spectrum of the elements of an optimal USD measurement. This naturally leads to a partial fourth reduction theorem. This theorem shows that either the failure probability equals its overall lower bound given in term of the fidelity or a two-dimensional subspace can be split off from the original Hilbert space. We then use this partial reduction theorem to derive the optimal solution for any two equally probable Geometrically Uniform (GU) states $\rho_0$ and $\rho_1=U\rho_0 U^\dagger$, $U^2={\openone}$, in a four-dimensional Hilbert space. This represents a second class of analytical solutions for USD problems that cannot be reduced to some pure state cases. We apply our result to answer two questions that are relevant in implementations of the Bennett and Brassard 1984 quantum key distribution protocol using weak coherent states.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 19:26:31 GMT" }, { "version": "v2", "created": "Sat, 3 Nov 2007 16:32:00 GMT" } ]
2007-12-11T00:00:00
[ [ "Raynal", "Philippe", "" ], [ "Lütkenhaus", "Norbert", "" ] ]
quant-ph/0702023
Christian de Ronde
Graciela Domenech and Hector Freytes
Contextual logic for quantum systems
16 pages, no figures
J. Math. Phys. 46 (2005) 012102
10.1063/1.1819525
null
quant-ph
null
In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated to the Boolean sublattices of the ortholattice of closed subspaces of the Hilbert space of the physical system. Differently to standard quantum logics, the contextual logic maintains a distributive lattice structure and a good definition of implication as a residue of the conjunction.
[ { "version": "v1", "created": "Fri, 2 Feb 2007 20:13:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Domenech", "Graciela", "" ], [ "Freytes", "Hector", "" ] ]
quant-ph/0702024
Bryan J. Dalton
B J Dalton
Theory of decoherence in Bose-Einstein condensate interferometry
Proceedings DICE 06 Conference, 11-15 Sept 2006, Piombino, Italy
J. Phys. Conf. Series 67, 012059 (2007)
10.1088/1742-6596/67/1/012059
null
quant-ph
null
A full treatment of decoherence and dephasing effects in BEC interferometry has been developed based on using quantum correlation functions for treating interferometric effects. The BEC is described via a phase space distribution functional of the Wigner type for the condensate modes and the positive P type for the non-condensate modes. Ito equations for stochastic condensate and non-condensate field functions replace the functional Fokker-Planck equation for the distribution functional and stochastic averages of field function products determine the quantum correlation functions.
[ { "version": "v1", "created": "Sat, 3 Feb 2007 02:03:52 GMT" } ]
2015-06-26T00:00:00
[ [ "Dalton", "B J", "" ] ]
quant-ph/0702025
Olivier Brunet
Olivier Brunet (Leibniz - IMAG)
An Intrisic Topology for Orthomodular Lattices
Under submission to the International Journal of Theoretical Physics
null
10.1007/s10773-007-9400-8
null
quant-ph math-ph math.GN math.LO math.MP
null
We present a general way to define a topology on orthomodular lattices. We show that in the case of a Hilbert lattice, this topology is equivalent to that induced by the metrics of the corresponding Hilbert space. Moreover, we show that in the case of a boolean algebra, the obtained topology is the discrete one. Thus, our construction provides a general tool for studying orthomodular lattices but also a way to distinguish classical and quantum logics.
[ { "version": "v1", "created": "Sat, 3 Feb 2007 07:23:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Brunet", "Olivier", "", "Leibniz - IMAG" ] ]
quant-ph/0702026
Adam Miranowicz
A. Miranowicz, S. K. Ozdemir, Yu-xi Liu, G. Chimczak, M. Koashi, N. Imoto
Quantum Entanglement and Teleportation of Quantum-Dot States in Microcavities
9 pages, 7 figures, to appear in e-J. Surf. Sci. Nanotech
e-J. Surf. Sci. Nanotech. 5, 51-59 (2007).
10.1380/ejssnt.2007.51
null
quant-ph
null
Generation and control of quantum entanglement are studied in an equivalent-neighbor system of spatially-separated semiconductor quantum dots coupled by a single-mode cavity field. Generation of genuinely multipartite entanglement of qubit states realized by conduction-band electron-spin states in quantum dots is discussed. A protocol for quantum teleportation of electron-spin states via cavity decay is briefly described.
[ { "version": "v1", "created": "Sat, 3 Feb 2007 15:37:20 GMT" } ]
2009-08-04T00:00:00
[ [ "Miranowicz", "A.", "" ], [ "Ozdemir", "S. K.", "" ], [ "Liu", "Yu-xi", "" ], [ "Chimczak", "G.", "" ], [ "Koashi", "M.", "" ], [ "Imoto", "N.", "" ] ]
quant-ph/0702027
H. Dong
H. Dong, S. Yang, X.F. Liu, C.P. Sun
Quantum Thermalization With Couplings
4 pages, 2 figures
Phys. Rev. A 76, 044104 (2007)
10.1103/PhysRevA.76.044104
null
quant-ph cond-mat.stat-mech
null
We study the role of the system-bath coupling for the generalized canonical thermalization [S. Popescu, et al., Nature Physics 2,754(2006) and S. Goldstein et al., Phys. Rev. Lett. 96, 050403(2006)] that reduces almost all the pure states of the "universe" [formed by a system S plus its surrounding heat bath $B$] to a canonical equilibrium state of S. We present an exactly solvable, but universal model for this kinematic thermalization with an explicit consideration about the energy shell deformation due to the interaction between S and B. By calculating the state numbers of the "universe" and its subsystems S and B in various deformed energy shells, it is found that, for the overwhelming majority of the "universe" states (they are entangled at least), the diagonal canonical typicality remains robust with respect to finite interactions between S and B. Particularly, the kinematic decoherence is utilized here to account for the vanishing of the off-diagonal elements of the reduced density matrix of S. It is pointed out that the non-vanishing off-diagonal elements due to the finiteness of bath and the stronger system-bath interaction might offer more novelties of the quantum thermalization.
[ { "version": "v1", "created": "Sun, 4 Feb 2007 12:46:26 GMT" }, { "version": "v2", "created": "Wed, 28 Mar 2007 09:59:36 GMT" } ]
2011-11-09T00:00:00
[ [ "Dong", "H.", "" ], [ "Yang", "S.", "" ], [ "Liu", "X. F.", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0702028
Hongbao Zhang
Song He, Shuxin Shao, and Hongbao Zhang
Entanglement Entropy: Helicity versus Spin
3 pages, title changed, typos corrected, version to appear in Int. J. Quant. Inf
Int.J.Quant.Inf.6:181,2008
10.1142/S0219749908003360
null
quant-ph hep-th
null
For a massive spin 1/2 field, we present the reduced spin and helicity density matrix, respectively, for the same pure one particle state. Their relation has also been developed. Furthermore, we calculate and compare the corresponding entanglement entropy for spin and helicity within the same inertial reference frame. Due to the distinct dependence on momentum degree of freedom between spin and helicity states, the resultant helicity entropy is different from that of spin in general. In particular, we find that both helicity entanglement for a spin eigenstate and spin entanglement for a right handed or left handed helicity state do not vanish and their Von Neumann entropy has no dependence on the specific form of momentum distribution as long as it is isotropic.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 15:28:52 GMT" }, { "version": "v2", "created": "Tue, 25 Dec 2007 01:48:42 GMT" } ]
2008-11-26T00:00:00
[ [ "He", "Song", "" ], [ "Shao", "Shuxin", "" ], [ "Zhang", "Hongbao", "" ] ]
quant-ph/0702029
Kurt Jacobs
Kosuke Shizume, Kurt Jacobs, Daniel Burgarth, Sougato Bose
Quantum communication via a continuously monitored dual spin chain
5 pages, revtex 4, 3 eps figures
Phys. Rev. A 75, 062328 (2007)
10.1103/PhysRevA.75.062328
null
quant-ph
null
We analyze a recent protocol for the transmission of quantum states via a dual spin chain [Burgarth and Bose, Phys. Rev. A 71, 052315 (2005)] under the constraint that the receiver's measurement strength is finite. That is, we consider the channel where the ideal, instantaneous and complete von Neumann measurements are replaced with a more realistic continuous measurement. We show that for optimal performance the measurement strength must be "tuned" to the channel spin-spin coupling, and once this is done, one is able to achieve a similar transmission rate to that obtained with ideal measurements. The spin chain protocol thus remains effective under measurement constraints.
[ { "version": "v1", "created": "Sun, 4 Feb 2007 16:29:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Shizume", "Kosuke", "" ], [ "Jacobs", "Kurt", "" ], [ "Burgarth", "Daniel", "" ], [ "Bose", "Sougato", "" ] ]
quant-ph/0702030
Feng Pan
Feng Pan, Xin Guan, Nan Ma, Wen-Juan Han, and J. P. Draayer
Exact diagonalization for spin-1/2 chains and the first order quantum phase transitions of the XXX chain in a uniform transverse field
7pages LaTeX, 1figure
null
10.1088/0953-8984/19/38/386208
0704-LNNU-LSU
quant-ph cond-mat.str-el
null
A simple Mathematica code based on the differential realization of hard-core boson operators for finding exact solutions of the periodic-N spin-1/2 systems with or beyond nearest neighbor interactions is proposed, which can easily be used to study general spin-1/2 interaction systems. As an example, The code is applied to study XXX spin-1/2 chain with nearest neighbor interaction in a uniform transverse field. It shows that there are [N/2] level-crossing points in the ground state, where N is the periodic number of the system and [x] stands for the integer part of x, when the interaction strength and magnitude of the magnetic field satisfy certain conditions. The quantum phase transitional behavior in the ground state of the system in the thermodynamic limit is also studied.
[ { "version": "v1", "created": "Sun, 4 Feb 2007 19:47:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Pan", "Feng", "" ], [ "Guan", "Xin", "" ], [ "Ma", "Nan", "" ], [ "Han", "Wen-Juan", "" ], [ "Draayer", "J. P.", "" ] ]
quant-ph/0702031
L. M. Duan
Y.-J. Han, R. Raussendorf, and L.-M. Duan
A scheme for demonstration of fractional statistics of anyons in an exactly solvable model
4 pages, 3 figures
Phys. Rev. Lett. 98, 150404 (2007).
10.1103/PhysRevLett.98.150404
null
quant-ph cond-mat.other
null
We propose a scheme to demonstrate fractional statistics of anyons in an exactly solvable lattice model proposed by Kitaev that involves four-body interactions. The required many-body ground state, as well as the anyon excitations and their braiding operations, can be conveniently realized through \textit{dynamic}laser manipulation of cold atoms in an optical lattice. Due to the perfect localization of anyons in this model, we show that a quantum circuit with only six qubits is enough for demonstration of the basic braiding statistics of anyons. This opens up the immediate possibility of proof-of-principle experiments with trapped ions, photons, or nuclear magnetic resonance systems.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 01:37:03 GMT" } ]
2013-05-29T00:00:00
[ [ "Han", "Y. -J.", "" ], [ "Raussendorf", "R.", "" ], [ "Duan", "L. -M.", "" ] ]
quant-ph/0702032
Sahel Ashhab
S. Ashhab, J. R. Johansson, A. M. Zagoskin, Franco Nori
Two-level systems driven by large-amplitude fields
10 pages (two-column), 6 figures
Phys. Rev. A 75, 063414 (2007)
10.1103/PhysRevA.75.063414
null
quant-ph cond-mat.other cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze the dynamics of a two-level system subject to driving by large-amplitude external fields, focusing on the resonance properties in the case of driving around the region of avoided level crossing. In particular, we consider three main questions that characterize resonance dynamics: (1) the resonance condition, (2) the frequency of the resulting oscillations on resonance and (3) the width of the resonance. We identify the regions of validity of different approximations. In a large region of the parameter space, we use a geometric picture in order to obtain both a simple understanding of the dynamics and quantitative results. The geometric approach is obtained by dividing the evolution into discrete time steps, with each time step described by either a phase shift on the basis states or a coherent mixing process corresponding to a Landau-Zener crossing. We compare the results of the geometric picture with those of a rotating-wave approximation. We also comment briefly on the prospects of employing strong driving as a useful tool to manipulate two-level systems.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 07:47:06 GMT" }, { "version": "v2", "created": "Wed, 20 Jun 2007 08:08:20 GMT" }, { "version": "v3", "created": "Fri, 17 Jul 2009 10:57:13 GMT" } ]
2009-07-17T00:00:00
[ [ "Ashhab", "S.", "" ], [ "Johansson", "J. R.", "" ], [ "Zagoskin", "A. M.", "" ], [ "Nori", "Franco", "" ] ]
quant-ph/0702033
Massimiliano Federico Sacchi
Massimiliano F. Sacchi
Information-disturbance tradeoff in covariant quantum state estimation
4 pages; contribution for the proceedings of the QCMC06
In Proceedings of the 8th Int. Conf. on Quantum Communication, Measurement and Computing, ed. by O. Hirota, J. H. Shapiro and M. Sasaki (NICT press, Japan, 2007), p. 331
null
null
quant-ph
null
We provide a general framework for quantifying the optimal tradeoff between the information retrieved by a quantum measurement and the disturbance on the quantum state in covariant quantum state estimation.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 10:52:18 GMT" } ]
2007-08-29T00:00:00
[ [ "Sacchi", "Massimiliano F.", "" ] ]
quant-ph/0702034
Markus Hijlkema
Markus Hijlkema, Bernhard Weber, Holger P. Specht, Simon C. Webster, Axel Kuhn and Gerhard Rempe
A Single-Photon Server with Just One Atom
4 pages, 3 figures
null
null
null
quant-ph
null
Neutral atoms are ideal objects for the deterministic processing of quantum information. Entanglement operations have been performed by photon exchange or controlled collisions. Atom-photon interfaces were realized with single atoms in free space or strongly coupled to an optical cavity. A long standing challenge with neutral atoms, however, is to overcome the limited observation time. Without exception, quantum effects appeared only after ensemble averaging. Here we report on a single-photon source with one-and-only-one atom quasi permanently coupled to a high-finesse cavity. Quasi permanent refers to our ability to keep the atom long enough to, first, quantify the photon-emission statistics and, second, guarantee the subsequent performance as a single-photon server delivering up to 300,000 photons for up to 30 seconds. This is achieved by a unique combination of single-photon generation and atom cooling. Our scheme brings truly deterministic protocols of quantum information science with light and matter within reach.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 13:20:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Hijlkema", "Markus", "" ], [ "Weber", "Bernhard", "" ], [ "Specht", "Holger P.", "" ], [ "Webster", "Simon C.", "" ], [ "Kuhn", "Axel", "" ], [ "Rempe", "Gerhard", "" ] ]
quant-ph/0702035
Durga Bhaktavatsala Rao
D. D. Bhaktavatsala Rao, V. Ravishankar and V. Subrahmanyam
Decoherence of two-electron spin states in quantum dots
12 pages, 6 figures. submitted to Phys. Rev. A
Phys. Rev. A 75, 052338 (2007)
10.1103/PhysRevA.75.052338
null
quant-ph cond-mat.mes-hall
null
The time evolution of spin states of two electrons interacting with a nuclear spin bath in a quantum dot system is studied. The hyperfine interaction between the electrons and the nuclear spins is modeled by an isotropic Heisenberg interaction, and the interaction between the electron spins by Heisenberg exchange. Depending on the extent of the overlap between the spatial wave functions of the electrons, there are two physically different cases, namely the two qubits either interact with the same set of nuclear spins or they see different nuclear spin environment. In the two cases, the decoherence of the two-qubit state is studied analytically. We have identified a class of two-qubit states which have a rich dynamics when the exchange interaction between the qubits becomes large in comparison to the hyperfine interaction strengths. The decoherence time scale is determined as a function of the bath-spin distribution and the polarizations of the initial two-qubit state. States with large decoherence times are identified by performing a minimization over all the two-qubit pure states.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 12:49:28 GMT" } ]
2013-07-09T00:00:00
[ [ "Rao", "D. D. Bhaktavatsala", "" ], [ "Ravishankar", "V.", "" ], [ "Subrahmanyam", "V.", "" ] ]
quant-ph/0702036
Laleh Memarzadeh
S. Alipour, V. Karimipour, L. Memarzadeh
Entanglement and quantum phase transitions in matrix product spin one chains
null
Phys. Rev. A 75, 052322 (2007)
10.1103/PhysRevA.75.052322
null
quant-ph
null
We consider a one-parameter family of matrix product states of spin one particles on a periodic chain and study in detail the entanglement properties of such a state. In particular we calculate exactly the entanglement of one site with the rest of the chain, and the entanglement of two distant sites with each other and show that the derivative of both these properties diverge when the parameter $g$ of the states passes through a critical point. Such a point can be called a point of quantum phase transition, since at this point, the character of the matrix product state which is the ground state of a Hamiltonian, changes discontinuously. We also study the finite size effects and show how the entanglement depends on the size of the chain. This later part is relevant to the field of quantum computation where the problem of initial state preparation in finite arrays of qubits or qutrits is important. It is also shown that entanglement of two sites have scaling behavior near the critical point.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 13:10:25 GMT" }, { "version": "v2", "created": "Wed, 14 Feb 2007 08:15:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Alipour", "S.", "" ], [ "Karimipour", "V.", "" ], [ "Memarzadeh", "L.", "" ] ]
quant-ph/0702037
Adnan Tegmen
A. Tegmen, T. Altanhan and B. S. Kandemir
Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential
14 pages, 4 figures, The original publication is available at www.eurphysj.org
Eur Phys J D41 (2007) 397-402
10.1140/epjd/e2006-00221-1
null
quant-ph
null
We calculate the Wigner distribution function for the Calogero-Sutherland system which consists of harmonic and inverse-square interactions. The Wigner distribution function is separated out into two parts corresponding to the relative and center-of-mass motions. A general expression for the relative Wigner function is obtained in terms of the Laguerre polynomials by introducing a new identity between Hermite and Laguerre polynomials.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 14:38:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Tegmen", "A.", "" ], [ "Altanhan", "T.", "" ], [ "Kandemir", "B. S.", "" ] ]
quant-ph/0702038
C. A. Chatzidimitriou-Dreismann
C. Aris Chatzidimitriou-Dreismann and Stig Stenholm
On correlation approach to scattering in the decoherence timescale - Towards the theoretical interpretation of NCS and ECS experimental findings
Published in: "Decoherence, Entanglement and Information Protection in Complex Quantum Systems", NATO Science Series II - Vol.189, eds V. M. Akulin, A. Sarfati, G. Kurizki and S. Pellegrin (Springer, Dordrecht, 2005) pp. 555-562
V. M. Akulin et al. (eds.), NATO Science Series II - Vol. 189, pp. 555-562 (Springer, Dordrecht, 2005)
null
null
quant-ph
null
We provide a "first principles" description of scattering from open quantum systems subject to a Lindblad-type dynamics. In particular we consider the case that the duration of the scattering process is of similar order as the decoherence time of the scatterer. Under rather general conditions, the derivations lead to the the following new result: The irreversible time-evolution may cause a reduction of the system's transition rate being effectuated by scattering. This is tantamount to a shortfall of scattering intensity. The possible connection with striking experimental results of neutron and electron Compton scattering from protons in condensed matter is mentioned.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 14:44:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Chatzidimitriou-Dreismann", "C. Aris", "" ], [ "Stenholm", "Stig", "" ] ]
quant-ph/0702039
Patricia Lee
P. J. Lee, M. Anderlini, B. L. Brown, J. Sebby-Strabley, W. D. Phillips, J. V. Porto
Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
null
Physical Review Letters 99, 020402 (2007)
10.1103/PhysRevLett.99.020402
null
quant-ph
null
We load atoms into every site of an optical lattice and selectively spin flip atoms in a sublattice consisting of every other site. These selected atoms are separated from their unselected neighbors by less than an optical wavelength. We also show spin-dependent transport, where atomic wave packets are coherently separated into adjacent sites according to their internal state. These tools should be useful for quantum information processing and quantum simulation of lattice models with neutral atoms.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 16:58:49 GMT" }, { "version": "v2", "created": "Tue, 17 Apr 2007 18:35:56 GMT" } ]
2007-08-15T00:00:00
[ [ "Lee", "P. J.", "" ], [ "Anderlini", "M.", "" ], [ "Brown", "B. L.", "" ], [ "Sebby-Strabley", "J.", "" ], [ "Phillips", "W. D.", "" ], [ "Porto", "J. V.", "" ] ]
quant-ph/0702040
Roland Hildebrand
Roland Hildebrand
Entangled states close to the maximally mixed state
11 pages; v2: n qubit case added
null
10.1103/PhysRevA.75.062330
null
quant-ph
null
We give improved upper bounds on the radius of the largest ball of separable states of an m-qubit system around the maximally mixed state. The ratio between the upper bound and the best known lower bound (Hildebrand, quant.ph/0601201) thus shrinks to a constant c = \sqrt{34/27} ~ 1.122, as opposed to a term of order \sqrt{m\log m} for the best upper bound known previously (Aubrun and Szarek, quant.ph/0503221). We give concrete examples of separable states on the boundary to entanglement which realize these upper bounds. As a by-product, we compute the radii of the largest balls that fit into the projective tensor product of four unit balls in R^3 and in the projective tensor product of an arbitrary number of unit balls in R^n for n = 2,4,8.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 17:36:51 GMT" }, { "version": "v2", "created": "Fri, 23 Feb 2007 14:36:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Hildebrand", "Roland", "" ] ]
quant-ph/0702041
Joshua Nunn
J. Nunn, I. A. Walmsley, M. G. Raymer, K. Surmacz, F. C. Waldermann, Z. Wang, D. Jaksch
Mapping broadband single-photon wavepackets into an atomic memory
5 pages, 4 figures, published in PRA Rapid Communications
Phys. Rev. A 75, 011401(R) (2007)
10.1103/PhysRevA.75.011401
null
quant-ph
null
We analyze a quantum optical memory based on the off-resonant Raman interaction of a single broadband photon, copropagating with a classical control pulse, with an atomic ensemble. The conditions under which the memory can perform optimally are found, by means of a `universal' mode decomposition. This enables the memory efficiency to be specified in terms of a single parameter, and the control field pulse shape to be determined via a simple nonlinear scaling. We apply the same decomposition to determine the optimal configurations for read-out.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 18:27:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Nunn", "J.", "" ], [ "Walmsley", "I. A.", "" ], [ "Raymer", "M. G.", "" ], [ "Surmacz", "K.", "" ], [ "Waldermann", "F. C.", "" ], [ "Wang", "Z.", "" ], [ "Jaksch", "D.", "" ] ]
quant-ph/0702042
Francisco R Villatoro
Francisco R. Villatoro and Juan A. Monsoriu
Tunnelling in quantum superlattices with variable lacunarity
12 pages, 3 figures
Physics Letters A 372 (2008) 3801-3807
10.1016/j.physleta.2008.03.002
null
quant-ph
null
Quantum fractal superlattices are microelectronic devices consisting of a series of thin layers of two semiconductor materials deposited alternately on each other over a substrate following the rules of construction of a fractal set, here, a symmetrical polyadic Cantor fractal. The scattering properties of electrons in these superlattices may be modeled by using that of quantum particles in piecewise constant potential wells. The twist plots representing the reflection coefficient as function of the lacunarity parameter show the appearance of black curves with perfectly transparent tunnelling which may be classified as vertical, arc, and striation nulls. Approximate analytical formulae for these reflection-less curves are derived using the transfer matrix method. Comparison with the numerical results show their good accuracy.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 19:47:42 GMT" }, { "version": "v2", "created": "Thu, 8 Feb 2007 17:51:13 GMT" } ]
2012-08-21T00:00:00
[ [ "Villatoro", "Francisco R.", "" ], [ "Monsoriu", "Juan A.", "" ] ]
quant-ph/0702043
Constantin V. Usenko
Constantin V. Usenko
Production of Information and Entropy in measurement of entangled states
Presented at the NATO ARW "Quantum Communication and Security", 10-13 September 2006, Gdansk, Poland
null
null
null
quant-ph
null
Problem of classification of all the set of entangled states is considered. Invariance of entangled states relative to transformations from a group of symmetry of qubit space leads to classification of all states of the system through irreducible representations from that group. Excess of entropy of a subsystem over entropy of the whole system indicates the presence of entaglement in the system.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 20:17:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Usenko", "Constantin V.", "" ] ]
quant-ph/0702044
Daniel E. Browne
M. Varnava, D.E. Browne and T. Rudolph
How good must single photon sources and detectors be for efficient linear optical quantum computation?
New version contains an Added Appendix
Phys. Rev. Lett. 100, 060502 (2008).
10.1103/PhysRevLett.100.060502
null
quant-ph
null
We present a scheme for linear optical quantum computation (LOQC) which is highly robust to imperfect single photon sources and inefficient detectors. In particular we show that if the product of the detector efficiency with the source efficiency is greater than 2/3, then efficient LOQC is possible. This threshold is many orders of magnitude more relaxed than those which could be inferred by application of standard results in fault tolerance. The result is achieved within the cluster state paradigm for quantum computation.
[ { "version": "v1", "created": "Mon, 5 Feb 2007 20:47:53 GMT" }, { "version": "v2", "created": "Fri, 20 Jul 2007 15:20:01 GMT" } ]
2009-09-29T00:00:00
[ [ "Varnava", "M.", "" ], [ "Browne", "D. E.", "" ], [ "Rudolph", "T.", "" ] ]
quant-ph/0702045
Jun Zhang
Jun Zhang, Xiao-Hui Bao, Teng-Yun Chen, Tao Yang, Adan Cabello, and Jian-Wei Pan
Experimental quantum "Guess my Number" protocol using multiphoton entanglement
4 pages, 2 figures
Phys. Rev. A 75, 022302 (2007)
10.1103/PhysRevA.75.022302
null
quant-ph
null
We present an experimental demonstration of a modified version of the entanglement-assisted "Guess my Number" protocol for the reduction of communication complexity among three separated parties. The results of experimental measurements imply that the separated parties can compute a function of distributed inputs by exchanging less classical information than by using any classical strategy. And the results also demonstrate the advantages of entanglement-enhanced communication, which is very close to quantum communication. The advantages are based on the properties of Greenberger-Horne-Zeilinger states.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 00:25:46 GMT" } ]
2008-08-22T00:00:00
[ [ "Zhang", "Jun", "" ], [ "Bao", "Xiao-Hui", "" ], [ "Chen", "Teng-Yun", "" ], [ "Yang", "Tao", "" ], [ "Cabello", "Adan", "" ], [ "Pan", "Jian-Wei", "" ] ]
quant-ph/0702046
Xinwei Zha
Xin-wei Zha, Chun-min Zhang
LU transformation invariant operators and LU transformation invariant
6 pages, no figures
null
null
null
quant-ph
null
We proposed a concept of LU transformation invariant operators. By using this operator, arbitrary multi-qubit states LU transformation invariant and SLOCC invariant could be easily obtained. And we find that presences two kinds of invariant operators and corresponding invariants. One kind of operators yields LU invariants and the other operators results in SLOCC invariants. For three-qubit states, all independence LU transformation invariant are obtained. Furthermore, by this system method, arbitrary multi-qubit states invariants can be given.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 00:36:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Zha", "Xin-wei", "" ], [ "Zhang", "Chun-min", "" ] ]
quant-ph/0702047
Mark S. Byrd
Lian-Ao Wu and Mark S. Byrd
Self-Protected Quantum Algorithms Based on Quantum State Tomography
6 pages, no figures
Quantum Information Processing, Vol. 8, 1 (2009)
null
null
quant-ph
null
Only a few classes of quantum algorithms are known which provide a speed-up over classical algorithms. However, these and any new quantum algorithms provide important motivation for the development of quantum computers. In this article new quantum algorithms are given which are based on quantum state tomography. These include an algorithm for the calculation of several quantum mechanical expectation values and an algorithm for the determination of polynomial factors. These quantum algorithms are important in their own right. However, it is remarkable that these quantum algorithms are immune to a large class of errors. We describe these algorithms and provide conditions for immunity.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 01:03:11 GMT" } ]
2009-02-04T00:00:00
[ [ "Wu", "Lian-Ao", "" ], [ "Byrd", "Mark S.", "" ] ]
quant-ph/0702048
Vyacheslav Gorshkov Mr
G.P. Berman (Theoretical Division, Los Alamos National Laboratory, Los Alamos, USA), V.N. Gorshkov (Theoretical Division, Los Alamos National Laboratory; Institute of Physics, National Academy of Sciences, Kiev, Ukraine), and V.I.Tsifrinovich (Physics Department, Polytechnic University, Brooklyn, New York)
Quantum Annealing for Heisenberg Spin Chains
10 pages, 13 figures
null
null
null
quant-ph
null
We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-uniform magnetic field. The initial Hamiltonian gradually transforms into the Heisenberg Hamiltonian, which describes the exchange interaction and the Zeeman interaction with the uniform magnetic field. We demonstrate quantum annealing for 2-, 3-, and 9-spin systems. In particular, we consider the alternate (ferro- and antiferromagnetic) exchange integral. By changing the sign of the exchange integrals we switch from the frustrated to the corresponding non-frustrated spin system. We discuss the similarity and difference between the frustrated and non-frustrated spin systems.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 06:00:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Berman", "G. P.", "", "Theoretical Division, Los Alamos National Laboratory, Los\n Alamos, USA" ], [ "Gorshkov", "V. N.", "", "Theoretical Division, Los Alamos National\n Laboratory; Institute of Physics, National Academy of Sciences, Kiev,\n Ukraine" ], [ "Tsifrinovich", "V. I.", "", "Physics Department, Polytechnic University,\n Brooklyn, New York" ] ]
quant-ph/0702049
Akira Furusawa
Jun-ichi Yoshikawa, Toshiki Hayashi, Takayuki Akiyama, Nobuyuki Takei, Alexander Huck, Ulrik L. Andersen, Akira Furusawa
Demonstration of deterministic and high fidelity squeezing of quantum information
5 pages, 4 figures
Phys. Rev. A 76, 060301(R) (2007)
10.1103/PhysRevA.76.060301
null
quant-ph
null
By employing at recent proposal (R. Filip, P. Marek and U.L. Andersen, Phys. Rev. A {\bf 71}, 042308 (2005) \cite{Filip05.pra}), we experimentally demonstrate a universal, deterministic and high-fidelity squeezing transformation of an optical field. It relies only on linear optics, homodyne detection, feedforward and an ancillary squeezed vacuum state, thus direct interaction between a strong pump and the quantum state is circumvented. We demonstrate three different squeezing levels for a coherent state input. This scheme is highly suitable for the fault-tolerant squeezing transformation in a continuous variable quantum computer.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 07:26:11 GMT" }, { "version": "v2", "created": "Fri, 9 Nov 2007 04:30:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Yoshikawa", "Jun-ichi", "" ], [ "Hayashi", "Toshiki", "" ], [ "Akiyama", "Takayuki", "" ], [ "Takei", "Nobuyuki", "" ], [ "Huck", "Alexander", "" ], [ "Andersen", "Ulrik L.", "" ], [ "Furusawa", "Akira", "" ] ]
quant-ph/0702050
Robert Alicki
Robert Alicki
Comment on "Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective" and "Fault-tolerant Quantum Computation with Longe-range Correlated Noise"
2 pages, no figures
null
null
null
quant-ph
null
Critical comments on the recent papers supporting the idea of resilient quantum computations are presented.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 11:12:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Alicki", "Robert", "" ] ]
quant-ph/0702051
Evandro Silva Ms
D. Galetti and E. C. Silva
Spin tunneling in magnetic molecules: Quantitative estimates for Fe8 clusters
17 pages, 2 figures, preprint submitted to Physica A
null
10.1016/j.physa.2007.07.071
null
quant-ph
null
Spin tunneling in the particular case of the magnetic molecular cluster octanuclear iron(III), Fe8, is treated by an effective Hamiltonian that allows for an angle-based description of the process. The presence of an external magnetic field along the easy axis is also taken into account in this description. Analytic expressions for the energy levels and barriers are obtained from a harmonic approximation of the potential function which give results in good agreement with the experimental results. The energy splittings due to spin tunneling is treated in an adapted WKB approach and it is shown that the present description can give results to a reliable degree of accuracy.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 13:06:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Galetti", "D.", "" ], [ "Silva", "E. C.", "" ] ]
quant-ph/0702052
Ramazan Sever
Sameer M. Ikhdair, Ramazan Sever
On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz
14 pages
Cent. Eur. J. Phys. 6, 697(2008)
10.2478/s11534-008-0060-y
null
quant-ph
null
Making an ansatz to the wave function, the exact solutions of the $D$% -dimensional radial Schrodinger equation with some molecular potentials like pseudoharmonic and modified Kratzer potentials are obtained. The restriction on the parameters of the given potential, $\delta $ and $\eta $ are also given, where $\eta $ depends on a linear combination of the angular momentum quantum number $\ell $ and the spatial dimensions $D$ and $\delta $ is a parameter in the ansatz to the wave function. On inserting D=3, we find that the bound state eigensolutions recover their standard analytical forms in literature.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 13:16:02 GMT" }, { "version": "v2", "created": "Mon, 12 Feb 2007 09:12:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Ikhdair", "Sameer M.", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0702053
Stefano Zippilli
Marc Bienert, J. Mauricio Torres, Stefano Zippilli, Giovanna Morigi
Resonance fluorescence of a cold atom in a high-finesse resonator
10 pages, 7 figures,version accepted for publication in Phys. Rev. A
Phys. Rev. A 76, 013410 (2007)
10.1103/PhysRevA.76.013410
null
quant-ph cond-mat.other physics.atom-ph
null
We study the spectra of emission of a system composed by an atom, tightly confined inside a high-finesse resonator, when the atom is driven by a laser and is at steady state of the cooling dynamics induced by laser and cavity field. In general, the spectrum of resonance fluorescence and the spectrum at the cavity output contain complementary information about the dynamics undergone by the system. In certain parameter regimes, quantum interference effects between the scattering processes induced by cavity and laser field lead to the selective suppression of features of the resonance fluorescence spectrum, which are otherwise visible in the spectrum of laser-cooled atoms in free space.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 15:07:08 GMT" }, { "version": "v2", "created": "Thu, 10 May 2007 10:22:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Bienert", "Marc", "" ], [ "Torres", "J. Mauricio", "" ], [ "Zippilli", "Stefano", "" ], [ "Morigi", "Giovanna", "" ] ]
quant-ph/0702054
Federico Casagrande
P. Lougovski, F. Casagrande, A. Lulli, E. Solano
Strongly-Driven One-Atom Laser and Decoherence Monitoring
9 pages, 7 figures Accepted in Phys. Rev. A
Phys. Rev. A 76, 033802 (2007)
null
null
quant-ph
null
We propose the implementation of a strongly-driven one-atom laser, based on the off-resonant interaction of a three-level atom in $\Lambda$-configuration with a single cavity mode and three laser fields. We show that the system can be described equivalently by a two-level atom resonantly coupled to the cavity and driven by a strong effective coherent field. The effective dynamics can be solved exactly, including a thermal field bath, allowing an analytical description of field statistics and entanglement properties. We also show the possible generation of Schr\"odinger cat states for the whole atom-field system and for the field alone after atomic measurement. We propose a way to monitor the system decoherence by measuring atomic population. Finally, we confirm the validity of our model through numerical solutions.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 15:32:58 GMT" }, { "version": "v2", "created": "Wed, 7 Feb 2007 13:54:57 GMT" }, { "version": "v3", "created": "Thu, 26 Jul 2007 15:08:59 GMT" } ]
2007-09-10T00:00:00
[ [ "Lougovski", "P.", "" ], [ "Casagrande", "F.", "" ], [ "Lulli", "A.", "" ], [ "Solano", "E.", "" ] ]
quant-ph/0702055
Matteo G. A. Paris
Sabrina Maniscalco, Stefano Olivares, Matteo G. A. Paris
Entanglement oscillations in non-Markovian quantum channels
5 pages, 2 figures, published version
Phys. Rev. A 75, 062119 (2007)
10.1103/PhysRevA.75.062119
null
quant-ph
null
We study the non-Markovian dynamics of a two-mode bosonic system interacting with two uncorrelated thermal bosonic reservoirs. We present the solution to the exact microscopic Master equation in terms of the quantum characteristic function and study in details the dynamics of entanglement for bipartite Gaussian states. In particular, we analyze the effects of short-time system-reservoir correlations on the separability thresholds and show that the relevant parameter is the reservoir spectral density. If the frequencies of the involved modes are within the reservoir spectral density entanglement persists for a longer time than in a Markovian channel. On the other hand, when the reservoir spectrum is out of resonance short-time correlations lead to a faster decoherence and to the appearance of entanglement oscillations.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 17:31:42 GMT" }, { "version": "v2", "created": "Sun, 29 Apr 2007 20:46:59 GMT" }, { "version": "v3", "created": "Wed, 4 Jul 2007 09:01:35 GMT" } ]
2007-07-04T00:00:00
[ [ "Maniscalco", "Sabrina", "" ], [ "Olivares", "Stefano", "" ], [ "Paris", "Matteo G. A.", "" ] ]
quant-ph/0702056
Zhe-Yu Jeff Ou
F. W. Sun, B. H. Liu, Y. X. Gong, Y. F. Huang, Z. Y. Ou, G. C. Guo
Stimulated emission of two photons in parametric amplification and its interpretation as multi-photon interference
null
null
null
null
quant-ph
null
Stimulated emission of two photons is observed experimentally in the parametric amplification process and is compared to a three-photon interference scheme. We find that the underlying physics of stimulated emission is simply the constructive interference due to photon indistinguishability. So the observed signal enhancement upon the input of photons is a result of multi-photon interference of the input photons and the otherwise spontaneously emitted photon from the amplifier.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 19:57:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Sun", "F. W.", "" ], [ "Liu", "B. H.", "" ], [ "Gong", "Y. X.", "" ], [ "Huang", "Y. F.", "" ], [ "Ou", "Z. Y.", "" ], [ "Guo", "G. C.", "" ] ]
quant-ph/0702057
Chin-wen Chou
Chin-Wen Chou, Julien Laurat, Hui Deng, Kyung Soo Choi, Hugues de Riedmatten, Daniel Felinto, H. Jeff Kimble (California Institute of Technology, Pasadena, California, USA)
Functional Quantum Nodes for Entanglement Distribution over Scalable Quantum Networks
10 pages, 7 figures. Text revised, additional information included in Appendix. Published online in Science Express, 5 April, 2007
Science 316, 1316 (2007)
10.1126/science.1140300
null
quant-ph
null
We demonstrate entanglement distribution between two remote quantum nodes located 3 meters apart. This distribution involves the asynchronous preparation of two pairs of atomic memories and the coherent mapping of stored atomic states into light fields in an effective state of near maximum polarization entanglement. Entanglement is verified by way of the measured violation of a Bell inequality, and can be used for communication protocols such as quantum cryptography. The demonstrated quantum nodes and channels can be used as segments of a quantum repeater, providing an essential tool for robust long-distance quantum communication.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 21:19:19 GMT" }, { "version": "v2", "created": "Thu, 12 Apr 2007 05:49:55 GMT" } ]
2011-10-31T00:00:00
[ [ "Chou", "Chin-Wen", "", "California Institute of\n Technology, Pasadena, California, USA" ], [ "Laurat", "Julien", "", "California Institute of\n Technology, Pasadena, California, USA" ], [ "Deng", "Hui", "", "California Institute of\n Technology, Pasadena, California, USA" ], [ "Choi", "Kyung Soo", "", "California Institute of\n Technology, Pasadena, California, USA" ], [ "de Riedmatten", "Hugues", "", "California Institute of\n Technology, Pasadena, California, USA" ], [ "Felinto", "Daniel", "", "California Institute of\n Technology, Pasadena, California, USA" ], [ "Kimble", "H. Jeff", "", "California Institute of\n Technology, Pasadena, California, USA" ] ]
quant-ph/0702058
Horace P. Yuen
Horace P. Yuen
Mathematical Modeling of Physical and Engineering Systems in Quantum Information
Conference Proceedings Article of an invited talk at QCMC2006; revised version with note added in Section 3
null
null
null
quant-ph
null
Several concrete examples in quantum information are discussed to demonstrate the importance of proper modeling that relates the mathematical description to real-world applications. In particular, it is shown that some commonly accepted conclusions are not adequately supported by their purported justifications in the logical manner required.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 21:41:41 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 20:53:36 GMT" }, { "version": "v3", "created": "Mon, 19 Mar 2007 02:53:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Yuen", "Horace P.", "" ] ]
quant-ph/0702059
S. Virmani
M. B. Plenio, S. Virmani
Spin chains and channels with memory
V2: changes in presentation, some additional comments on generalisation. V3: In accordance with published version, most (but not all) details of proofs now included. A separate paper will shortly be submitted separately with all details and more results
Phys. Rev. Lett. 99, 120504 (2007)
10.1103/PhysRevLett.99.120504
null
quant-ph
null
In most studies of the channel capacity of quantum channels, it is assumed that the errors in each use of the channel are independent. However, recent work has begun to investigate the effects of memory or correlations in the error. This work has led to speculation that interesting non-analytic behaviour may occur in the capacity. Motivated by these observations, we connect the study of channel capacities under correlated error to the study of critical behaviour in many-body physics. This connection enables us the techniques of many-body physics to either completely solve or understand qualitatively a number of interesting models of correlated error. The models can display analogous behaviour to associated many-body systems, including `phase transitions'.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 22:06:47 GMT" }, { "version": "v2", "created": "Fri, 20 Apr 2007 19:07:05 GMT" }, { "version": "v3", "created": "Tue, 16 Oct 2007 17:26:38 GMT" } ]
2007-10-16T00:00:00
[ [ "Plenio", "M. B.", "" ], [ "Virmani", "S.", "" ] ]
quant-ph/0702060
Galina L. Klimchitskaya
F.Chen, U.Mohideen, G.L.Klimchitskaya, and V.M.Mostepanenko
Comment on ``Lateral Casimir force beyond the proximity-force approximation''
2 pages
Phys.Rev.Lett.98:068901,2007
10.1103/PhysRevLett.98.068901
null
quant-ph cond-mat.stat-mech hep-th
null
We demonstrate that the approach by Rodrigues et al. (PRL, v.96, 100402, 2006) to the description of the lateral Casimir force between corrugated surfaces is in disagreement with a path-integral theory by Emig et al. (PRA, v.67, 022114, 2003), and the approximations used are not appropriate for comparison to experiment.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 22:27:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Chen", "F.", "" ], [ "Mohideen", "U.", "" ], [ "Klimchitskaya", "G. L.", "" ], [ "Mostepanenko", "V. M.", "" ] ]
quant-ph/0702061
Galina L. Klimchitskaya
V.M.Mostepanenko
The Casimir Effect in Relativistic Quantum Field Theories
20 pages, 4 figures, uses ws-procs975x65.cls, to appear in Proceedings of 11th Marsel Grossmann Meeting on General Relativity (Berlin, 2006)
null
10.1142/9789812834300_0501
null
quant-ph cond-mat.stat-mech hep-th
null
We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the electromagnetic Casimir force in the configuration of a cylinder above a plate. The related work for the scalar Casimir effect in sphere-plate configuration is also considered, and the application region of the proximity force theorem is discussed. Next we consider new experiments on the measurement of the Casimir force between metals and between metal and semiconductor. The complicated problem connected with the theory of the thermal Casimir force between real metals is analyzed in detail. The present situation regarding different theoretical approaches to the resolution of this problem is summarized. We conclude with new constraints on non-Newtonian gravity obtained using the results of latest Casimir force measurements and compare them with constraints following from the most recent gravitational experiments.
[ { "version": "v1", "created": "Tue, 6 Feb 2007 22:44:58 GMT" } ]
2016-11-15T00:00:00
[ [ "Mostepanenko", "V. M.", "" ] ]
quant-ph/0702062
Gong Zhe-Xuan
Wen-Xing Yang and Zhe-Xuan Gong
Practical scheme for quantum dense coding between three parties using microwave radiation in trapped ions
6 pages, 2 figures, accepted by J. Phys. B: At. Mol. Opt. Phys
J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 1245-1252
10.1088/0953-4075/40/6/014
null
quant-ph
null
We propose a practical scheme for implementing two-dimension quantum dense coding (QDC) between three parties through manipulating three ions confined in microtraps addressed by microwaves and assisted by a magnetic field gradient. The ions in our scheme are not required to be strictly cooled to the vibrational ground state because single-qubit and multi-qubit operations are made via Ising terms, in which the vibrational modes of the ions remain unchanged throughout the scheme, rendering our scheme robust to the heating of the ions. We also present the detailed steps and parameters for implementing the three-party QDC experimentally and show that the proposed scheme is within the current techniques of ion-trap experiments.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 03:42:30 GMT" } ]
2007-05-23T00:00:00
[ [ "Yang", "Wen-Xing", "" ], [ "Gong", "Zhe-Xuan", "" ] ]
quant-ph/0702063
Boris Levin
B.M. Levin and V.I. Sokolov
On an additional realization of supersymmetry in orthopositronium lifetime anomalies
9 pages, 3 figures
null
null
null
quant-ph
null
Expansion of Standard Model for the quantitative description of the orthopositronium lifetime anomalies (from QED to supersymmetric QED) allows to formulate experimental tests of supervision of additional realization of the supersymmetry in final state of the positron beta-decay of the nuclei such as Na-22, Ga-68. The expermentum crucis program is based on supervision of the orthopositronium "isotope anomaly", on the quantitative description of the "lifetime anomaly", and will allow to resolve the alternative as results of the last Michigan work (2003).
[ { "version": "v1", "created": "Wed, 7 Feb 2007 07:52:33 GMT" }, { "version": "v2", "created": "Fri, 16 Mar 2007 07:19:16 GMT" } ]
2007-05-23T00:00:00
[ [ "Levin", "B. M.", "" ], [ "Sokolov", "V. I.", "" ] ]
quant-ph/0702064
Peter Rohde
Peter P. Rohde, Austin P. Lund
Practical effects in cat state breeding
3 pages
null
null
null
quant-ph
null
A cat state is a superposition of macroscopically distinct states. In quantum optics one such type of state is a superposition of distinct coherent states. Recently, a protocol has been proposed for preparing large optical cat states from a resource of smaller ones. We consider the effects of mode-mismatch and loss in the preparation of large cat states using this protocol with a view to understand experimental limitations. (This paper is written in an experimental rapid communication format).
[ { "version": "v1", "created": "Wed, 7 Feb 2007 09:39:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Rohde", "Peter P.", "" ], [ "Lund", "Austin P.", "" ] ]
quant-ph/0702065
Peter Rohde
Peter P. Rohde
Noise thresholds for entanglement purification
2 pages, references added
null
null
null
quant-ph
null
We consider the effects of gate noise on the operation of an entanglement purification protocol. We characterize the performance of the protocol by two measures, the minimum purifiable input state fidelity, and the maximum output state fidelity. Both these measures are a function of gate error rate. For sufficiently large gate error rate these two measures converge, defining a threshold on gate error rates. Numerically, we estimate this threshold to be $9.2\times 10^{-2}$, which is achievable with many present day experimental architectures. (This paper is written in an experimental rapid communication format).
[ { "version": "v1", "created": "Wed, 7 Feb 2007 09:44:42 GMT" }, { "version": "v2", "created": "Wed, 7 Mar 2007 00:37:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Rohde", "Peter P.", "" ] ]
quant-ph/0702066
Ramin Golestanian
Arash Ashourvan, MirFaez Miri, and Ramin Golestanian
Rectification of the lateral Casimir force in a vibrating non-contact rack and pinion
null
Phys. Rev. E 75, 040103 (R) (2007)
10.1103/PhysRevE.75.040103
null
quant-ph cond-mat.stat-mech
null
The nonlinear dynamics of a cylindrical pinion that is kept at a distance from a vibrating rack is studied, and it is shown that the lateral Casimir force between the two corrugated surfaces can be rectified. The effects of friction and external load are taken into account and it is shown that the pinion can do work against loads of up to a critical value, which is set by the amplitude of the lateral Casimir force. We present a phase diagram for the rectified motion that could help its experimental investigations, as the system exhibits a chaotic behavior in a large part of the parameter space.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 11:35:35 GMT" }, { "version": "v2", "created": "Wed, 2 May 2007 08:46:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Ashourvan", "Arash", "" ], [ "Miri", "MirFaez", "" ], [ "Golestanian", "Ramin", "" ] ]
quant-ph/0702067
Libby Heaney
Libby Heaney, Janet Anders, Dagomir Kaszlikowski, Vlatko Vedral
Spatial Entanglement From Off-Diagonal Long Range Order in a BEC
7 pages, 3 figures. Extended from 4 to 7 pages. More detailed derivations of key formula. Extended introduction and background. Results remain unchanged
Phys. Rev. A, 76 053605 (2007)
10.1103/PhysRevA.76.053605
null
quant-ph
null
We investigate spatial entanglement - particle-number entanglement between regions of space - in an ideal Bosonic gas. We quantify the amount spatial entanglement around the transition temperature for condensation by probing the gas with two localised two-level systems. We show that spatial entanglement in the gas is directly related to filling of the ground state energy level and therefore to the off-diagonal long-range order of the system and the onset of condensation.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 13:56:19 GMT" }, { "version": "v2", "created": "Wed, 26 Sep 2007 11:06:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Heaney", "Libby", "" ], [ "Anders", "Janet", "" ], [ "Kaszlikowski", "Dagomir", "" ], [ "Vedral", "Vlatko", "" ] ]
quant-ph/0702068
Giulio Chiribella
G. Chiribella, G.M. D'Ariano, and D. M. Schlingemann
How continuous quantum measurements in finite dimension are actually discrete
4 pages, 1 figure
Phys. Rev. Lett. 98, 190403 (2007)
10.1103/PhysRevLett.98.190403
null
quant-ph
null
We show that in finite dimension a quantum measurement with continuous set of outcomes is always equivalent to a continuous random choice of measurements with only finite outcomes.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 14:33:23 GMT" } ]
2010-05-04T00:00:00
[ [ "Chiribella", "G.", "" ], [ "D'Ariano", "G. M.", "" ], [ "Schlingemann", "D. M.", "" ] ]
quant-ph/0702069
Gerardo Adesso
Gerardo Adesso
Entanglement of Gaussian states
Ph.D. Thesis, University of Salerno. 296 pages, many (heavily compressed) figures. Hi-res version downloadable at http://www.sa.infn.it/quantumtheory/attach/Adesso_PhD.pdf (PDF 11Mb)
null
null
null
quant-ph cond-mat.stat-mech hep-th math-ph math.MP physics.comp-ph physics.optics
null
This Dissertation collects my results on the interpretation, characterization, quantification and application of bipartite and multipartite entanglement in Gaussian states of continuous variable systems.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 15:05:27 GMT" } ]
2016-09-08T00:00:00
[ [ "Adesso", "Gerardo", "" ] ]
quant-ph/0702070
Isabel P\'erez-Arjona
Isabel Perez-Arjona, Eugenio Roldan and German J. de Valcarcel
Theory of quantum fluctuations of optical dissipative structures and its application to the squeezing properties of bright cavity solitons
10 figures
Physical Review A 75, 063802 (2007)
10.1103/PhysRevA.75.063802
null
quant-ph
null
We present a method for the study of quantum fluctuations of dissipative structures forming in nonlinear optical cavities, which we illustrate in the case of a degenerate, type I optical parametric oscillator. The method consists in (i) taking into account explicitly, through a collective variable description, the drift of the dissipative structure caused by the quantum noise, and (ii) expanding the remaining -internal- fluctuations in the biorthonormal basis associated to the linear operator governing the evolution of fluctuations in the linearized Langevin equations. We obtain general expressions for the squeezing and intensity fluctuations spectra. Then we theoretically study the squeezing properties of a special dissipative structure, namely, the bright cavity soliton. After reviewing our previous result that in the linear approximation there is a perfectly squeezed mode irrespectively of the values of the system parameters, we consider squeezing at the bifurcation points, and the squeezing detection with a plane--wave local oscillator field, taking also into account the effect of the detector size on the level of detectable squeezing.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 17:41:29 GMT" } ]
2007-07-31T00:00:00
[ [ "Perez-Arjona", "Isabel", "" ], [ "Roldan", "Eugenio", "" ], [ "de Valcarcel", "German J.", "" ] ]
quant-ph/0702071
Florian Rempp
F.Rempp, M. Michel, G. Mahler
A Cyclic Cooling Algorithm
null
null
10.1103/PhysRevA.76.032325
null
quant-ph
null
We introduce a scheme to perform the cooling algorithm, first presented by Oscar Boykin et al. in 2002, for an arbitrary number of times on the same set of qbits. We achieve this goal by adding an additional SWAP-gate and a bath contact to the algorithm. This way one qbit may repeatedly be cooled without adding additional qbits to the system. By using a product Liouville space to model the bath contact we calculate the density matrix of the system after a given number of applications of the algorithm.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 17:34:59 GMT" }, { "version": "v2", "created": "Mon, 3 Sep 2007 11:16:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Rempp", "F.", "" ], [ "Michel", "M.", "" ], [ "Mahler", "G.", "" ] ]
quant-ph/0702072
Lukasz Swiatczak
Pierfrancesco La Mura and Lukasz Swiatczak
Markovian Entanglement Networks
7 pages, 3 figures, uses aaai.sty
null
null
HHL-77
quant-ph cs.AI
null
Graphical models of probabilistic dependencies have been extensively investigated in the context of classical uncertainty. However, in some domains (most notably, in computational physics and quantum computing) the nature of the relevant uncertainty is non-classical, and the laws of classical probability theory are superseded by those of quantum mechanics. In this paper we introduce Markovian Entanglement Networks (MEN), a novel class of graphical representations of quantum-mechanical dependencies in the context of such non-classical systems. MEN are the quantum-mechanical analogue of Markovian Networks, a family of undirected graphical representations which, in the classical domain, exploit a notion of conditional independence among subsystems. After defining a notion of conditional independence appropriate to our domain (conditional separability), we prove that the conditional separabilities induced by a quantum-mechanical wave function are effectively reflected in the graphical structure of MEN. Specifically, we show that for any wave function there exists a MEN which is a perfect map of its conditional separabilities. Next, we show how the graphical structure of MEN can be used to effectively classify the pure states of three-qubit systems. We also demonstrate that, in large systems, exploiting conditional independencies may dramatically reduce the computational burden of various inference tasks. In principle, the graph-theoretic representation of conditional independencies afforded by MEN may not only facilitate the classical simulation of quantum systems, but also provide a guide to the efficient design and complexity analysis of quantum algorithms and circuits.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 18:39:42 GMT" } ]
2011-11-09T00:00:00
[ [ "La Mura", "Pierfrancesco", "" ], [ "Swiatczak", "Lukasz", "" ] ]
quant-ph/0702073
Philip Feinsilver
Philip Feinsilver, Jerzy Kocik
Krawtchouk polynomials and Krawtchouk matrices
null
Recent advances in applied probability, Springer-Verlag, October, 2004
null
null
quant-ph
null
Krawtchouk matrices have as entries values of the Krawtchouk polynomials for nonnegative integer arguments. We show how they arise as condensed Sylvester-Hadamard matrices via a binary shuffling function. The underlying symmetric tensor algebra is presented. Our approach is used to solve Kac' formulation of the Ehrenfest urn model. Connections with quantum and classical random walks are shown as well as various extensions of the classical polynomials.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 20:20:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Feinsilver", "Philip", "" ], [ "Kocik", "Jerzy", "" ] ]
quant-ph/0702074
Horace P. Yuen
Horace P. Yuen
QBC3: An Unconditionally Secure Quantum Bit Commitment Protocol
Conference Proceedings article of a submission to QCMC 2006; revised version
null
null
null
quant-ph
null
This article describes a quantum bit commitment protocol, QBC3, based on entanglement destruction via forced measurements and proves its unconditional security. Some comments on the current status of the field are also made.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 20:32:18 GMT" }, { "version": "v2", "created": "Thu, 1 Mar 2007 20:51:18 GMT" }, { "version": "v3", "created": "Fri, 9 Mar 2007 04:20:29 GMT" }, { "version": "v4", "created": "Mon, 19 Mar 2007 02:47:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Yuen", "Horace P.", "" ] ]
quant-ph/0702075
Wojciech Wasilewski
Wojciech Wasilewski and Konrad Banaszek
Protecting an optical qubit against photon loss
null
Phys. Rev. A 75, 042316 (2007)
10.1103/PhysRevA.75.042316
null
quant-ph
null
We consider quantum error-correction codes for multimode bosonic systems, such as optical fields, that are affected by amplitude damping. Such a process is a generalization of an erasure channel. We demonstrate that the most accessible method of transforming optical systems with the help of passive linear networks has limited usefulness in preparing and manipulating such codes. These limitations stem directly from the recoverability condition for one-photon loss. We introduce a three-photon code protecting against the first order of amplitude damping, i.e. a single photon loss, and discuss its preparation using linear optics with single-photon sources and conditional detection. Quantum state and process tomography in the code subspace can be implemented using passive linear optics and photon counting. An experimental proof-of-principle demonstration of elements of the proposed quantum error correction scheme for a one-photon erasure lies well within present technological capabilites.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 21:46:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Wasilewski", "Wojciech", "" ], [ "Banaszek", "Konrad", "" ] ]
quant-ph/0702076
Constantin V. Usenko
Constantin V. Usenko
Classification of two-particle quantum channels of information transfer
To appear in Bulletin of the University of Kiev. Series: Physics & Mathematics (translated from Ukrainian). Extended version of quant-ph/0702043
null
null
null
quant-ph
null
Classification of states of two-particle quantum channels of information transfer is built on the basis of irreducible representations of qubit state space group of symmetry and properties of density matrix spectrum. It is shown that the reason of state disentanglement can be in degeneration of non-zero density matrix eigenvalues. Among the states with non-degenerate density matrix disentangled states form two-dimensional surface of special states.
[ { "version": "v1", "created": "Wed, 7 Feb 2007 22:15:42 GMT" }, { "version": "v2", "created": "Sat, 10 Feb 2007 00:13:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Usenko", "Constantin V.", "" ] ]
quant-ph/0702077
Jonathan Oppenheim
Karol Horodecki, Michal Horodecki, Pawel Horodecki, Debbie Leung, Jonathan Oppenheim
Unconditional privacy over channels which cannot convey quantum information
Related to quant-ph/0608195 and for a more general audience
Phys. Rev. Lett. 100, 110502 (2008)
10.1103/PhysRevLett.100.110502
null
quant-ph
null
By sending systems in specially prepared quantum states, two parties can communicate without an eavesdropper being able to listen. The technique, called quantum cryptography, enables one to verify that the state of the quantum system has not been tampered with, and thus one can obtain privacy regardless of the power of the eavesdropper. All previous protocols relied on the ability to faithfully send quantum states. In fact, until recently, they could all be reduced to a single protocol where security is ensured though sharing maximally entangled states. Here we show this need not be the case -- one can obtain verifiable privacy even through some channels which cannot be used to reliably send quantum states.
[ { "version": "v1", "created": "Thu, 8 Feb 2007 00:54:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Horodecki", "Karol", "" ], [ "Horodecki", "Michal", "" ], [ "Horodecki", "Pawel", "" ], [ "Leung", "Debbie", "" ], [ "Oppenheim", "Jonathan", "" ] ]
quant-ph/0702078
Hong Shen
M.X. Huo, Ying Li, Z. Song, and C.P. Sun
Atomic Entanglement vs Photonic Visibility for Quantum Criticality of Hybrid System
4 pages, 2 figures
Phys. Rev. A 77, 022103 (2008)
10.1103/PhysRevA.77.022103
null
quant-ph cond-mat.mes-hall
null
To characterize the novel quantum phase transition for a hybrid system consisting of an array of coupled cavities and two-level atoms doped in each cavity, we study the atomic entanglement and photonic visibility in comparison with the quantum fluctuation of total excitations. Analytical and numerical simulation results show the happen of quantum critical phenomenon similar to the Mott insulator to superfluid transition. Here, the contour lines respectively representing the atomic entanglement, photonic visibility and excitation variance in the phase diagram are consistent in the vicinity of the non-analytic locus of atomic concurrences.
[ { "version": "v1", "created": "Thu, 8 Feb 2007 02:34:35 GMT" }, { "version": "v2", "created": "Mon, 12 Feb 2007 04:57:35 GMT" } ]
2009-01-06T00:00:00
[ [ "Huo", "M. X.", "" ], [ "Li", "Ying", "" ], [ "Song", "Z.", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0702079
Fernando de Melo
F. de Melo, S. P. Walborn, J\'anos A. Bergou, L. Davidovich
Quantum Non-Demolition Test of Bipartite Complementarity
4 pages, 2 figures
Phys. Rev. Lett. 98, 250501 (2007)
10.1103/PhysRevLett.98.250501
null
quant-ph
null
We present a quantum circuit that implements a non-demolition measurement of complementary single- and bi-partite properties of a two-qubit system: entanglement and single-partite visibility and predictability. The system must be in a pure state with real coefficients in the computational basis, which allows a direct operational interpretation of those properties. The circuit can be realized in many systems of interest to quantum information.
[ { "version": "v1", "created": "Thu, 8 Feb 2007 10:42:28 GMT" } ]
2007-06-20T00:00:00
[ [ "de Melo", "F.", "" ], [ "Walborn", "S. P.", "" ], [ "Bergou", "János A.", "" ], [ "Davidovich", "L.", "" ] ]
quant-ph/0702080
Mark Williamson
Mark Williamson, Vlatko Vedral
Composite Geometric Phase for Multipartite Entangled States
4 pages, 1 figure, improved presentation, results and conclusions unchanged from v1. Accepted for publication in PRA
Phys. Rev. A 76, 032115 (2007)
10.1103/PhysRevA.76.032115
null
quant-ph
null
When an entangled state evolves under local unitaries, the entanglement in the state remains fixed. Here we show the dynamical phase acquired by an entangled state in such a scenario can always be understood as the sum of the dynamical phases of its subsystems. In contrast, the equivalent statement for the geometric phase is not generally true unless the state is separable. For an entangled state an additional term is present, the mutual geometric phase, that measures the change the additional correlations present in the entangled state make to the geometry of the state space. For $N$ qubit states we find this change can be explained solely by classical correlations for states with a Schmidt decomposition and solely by quantum correlations for W states.
[ { "version": "v1", "created": "Thu, 8 Feb 2007 12:39:30 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 01:51:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Williamson", "Mark", "" ], [ "Vedral", "Vlatko", "" ] ]
quant-ph/0702081
Marcos C. de Oliveira
Luis F. Haruna, Marcos C. de Oliveira, Gustavo Rigolin
Minimal set of local measurements and classical communication for two-mode Gaussian state entanglement quantification
5 pages, 1 figure. Replaced with final published version
Phys. Rev. Lett. 98, 150501 (2007); Phys. Rev. Lett. 99, 059902 (2007)
10.1103/PhysRevLett.99.059902
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop the minimal requirements for the complete entanglement quantification of an arbitrary two-mode bipartite Gaussian state via local measurements and a classical communication channel. The minimal set of measurements is presented as a reconstruction protocol of local covariance matrices and no previous knowledge of the state is required but its Gaussian character. The protocol becomes very simple mostly when dealing with Gaussian states transformed to its standard form, since photocounting/intensity measurements define the whole set of entangled states. In addition, conditioned on some prior information, the protocol is also useful for a complete global state reconstruction.
[ { "version": "v1", "created": "Thu, 8 Feb 2007 19:12:28 GMT" }, { "version": "v2", "created": "Fri, 9 Feb 2007 12:55:03 GMT" }, { "version": "v3", "created": "Wed, 9 Jul 2008 13:19:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Haruna", "Luis F.", "" ], [ "de Oliveira", "Marcos C.", "" ], [ "Rigolin", "Gustavo", "" ] ]
quant-ph/0702082
Kai Eckert
K. Eckert, O. Romero-Isart, and A. Sanpera
Efficient quantum state transfer in spin chains via adiabatic passage
14 pages, 6 figures, to be published in New J. Phys
New J. Phys. 9, 155 (2007)
10.1088/1367-2630/9/5/155
null
quant-ph
null
We propose a method for quantum state transfer in spin chains using an adiabatic passage technique. Modifying even and odd nearest-neighbour couplings in time allows to achieve transfer fidelities arbitrarily close to one, without the need for a precise control of coupling strengths and timing. We study in detail transfer by adiabatic passage in a spin-1 chain governed by a generalized Heisenberg Hamiltonian. We consider optimization of the transfer process applying optimal control techniques. We discuss a realistic experimental implementation using cold atomic gases confined in deep optical lattices.
[ { "version": "v1", "created": "Thu, 8 Feb 2007 20:41:14 GMT" }, { "version": "v2", "created": "Thu, 3 May 2007 15:55:15 GMT" } ]
2007-06-13T00:00:00
[ [ "Eckert", "K.", "" ], [ "Romero-Isart", "O.", "" ], [ "Sanpera", "A.", "" ] ]
quant-ph/0702083
Hoshang Heydari
Hoshang Heydari
Quantum gate entangler for general multipartite systems
6 pages
Open Systems & Information Dynamics, Vol. 15, No. 3 (2008) 213-222
null
null
quant-ph
null
We construct quantum gate entangler for general multipartite states based on topological unitary operators. We show that these operators can entangle quantum states if they satisfy the separability condition that is given by the complex multi-projective Segre variety. We also in detail discuss the construction of quantum gate entangler for higher dimensional bipartite and three-partite quantum systems.
[ { "version": "v1", "created": "Fri, 9 Feb 2007 04:46:41 GMT" } ]
2008-11-27T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
quant-ph/0702084
Jesni Shamsul Shaari Mr
J.S. Shaari, R.S. Said, M.R.B. Wahiddin
Secure Quantum Telephones
Substantial changes made to ensure security of protocol
null
null
null
quant-ph
null
We propose in this paper a novel deterministic protocol using particular maximally entangled states of polarized photons for a genuine bidirectional secure communication setup. We further propose a plausible experimental setup for such a protocol using currently available optical technology which liberates two communicating party from sharing identical apparatus. We note that security of the protocol is promised by the monogamous nature of maximally entangled states. We discuss the security of our protocol in the light of some simple eavesdropping scenarios.
[ { "version": "v1", "created": "Fri, 9 Feb 2007 06:59:45 GMT" }, { "version": "v2", "created": "Thu, 8 Mar 2007 03:23:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Shaari", "J. S.", "" ], [ "Said", "R. S.", "" ], [ "Wahiddin", "M. R. B.", "" ] ]
quant-ph/0702085
Andre Lengwenus
A. Lengwenus, J. Kruse, M. Volk, W. Ertmer, G. Birkl
Coherent manipulation of atomic qubits in optical micropotentials
to be published in Appl. Phys. B
Appl. Phys. B 86, 377-383 (2007)
10.1007/s00340-006-2539-9
null
quant-ph
null
We experimentally demonstrate the coherent manipulation of atomic states in far-detuned dipole traps and registers of dipole traps based on two-dimensional arrays of microlenses. By applying Rabi, Ramsey, and spin-echo techniques, we systematically investigate the dephasing mechanisms and determine the coherence time. Simultaneous Ramsey measurements in up to 16 dipole traps are performed and proves the scalability of our approach. This represents an important step in the application of scalable registers of atomic qubits for quantum information processing. In addition, this system can serve as the basis for novel atomic clocks making use of the parallel operation of a large number of individual clocks each remaining separately addressable.
[ { "version": "v1", "created": "Fri, 9 Feb 2007 07:37:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Lengwenus", "A.", "" ], [ "Kruse", "J.", "" ], [ "Volk", "M.", "" ], [ "Ertmer", "W.", "" ], [ "Birkl", "G.", "" ] ]
quant-ph/0702086
Ling-An Wu
Hai-Qiang Ma, Jian-Ling Zhao, and Ling-An Wu
Quantum key distribution based on phase encoding and polarization measurement
To appear in Optics Letters
null
10.1364/OL.32.000698
null
quant-ph
null
A one-way quantum key distribution scheme based on intrinsically stable Faraday-mirror type Michelson interferometers with four-port polarizing beampslitters has been demonstrated which can compensate for birefringence effects automatically. The encoding is performed with phase modulators, but decoding is accomplished through measurement of the polarization state of Bob's photons. An extinction ratio of about 30dB was maintained for several hours over 50km of fiber at 1310nm without any adjustment to the setup, which shows its good potential for practical systems
[ { "version": "v1", "created": "Fri, 9 Feb 2007 09:06:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Ma", "Hai-Qiang", "" ], [ "Zhao", "Jian-Ling", "" ], [ "Wu", "Ling-An", "" ] ]
quant-ph/0702087
P. W. H. Pinkse
T. Puppe, I. Schuster, P. Maunz, K. Murr, P.W.H. Pinkse, G. Rempe
Light force fluctuations in a strongly coupled atom-cavity system
7 pages, 3 figures
Journal of Modern Optics, 54:13, 1927 - 1937 (2007)
10.1080/09500340701415578
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quant-ph
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Between mirrors, the density of electromagnetic modes differs from the one in free space. This changes the radiation properties of an atom as well as the light forces acting on an atom. It has profound consequences in the strong-coupling regime of cavity quantum electrodynamics. For a single atom trapped inside the cavity, we investigate the atom-cavity system by scanning the frequency of a probe laser for various atom-cavity detunings. The avoided crossing between atom and cavity resonance is visible in the transmission of the cavity. It is also visible in the loss rate of the atom from the intracavity dipole trap. On the normal-mode resonances, the dominant contribution to the loss rate originates from dipole-force fluctuations which are dramatically enhanced in the cavity. This conclusion is supported by Monte-Carlo simulations.
[ { "version": "v1", "created": "Fri, 9 Feb 2007 09:36:03 GMT" } ]
2007-10-04T00:00:00
[ [ "Puppe", "T.", "" ], [ "Schuster", "I.", "" ], [ "Maunz", "P.", "" ], [ "Murr", "K.", "" ], [ "Pinkse", "P. W. H.", "" ], [ "Rempe", "G.", "" ] ]