id
stringlengths
9
16
submitter
stringlengths
1
64
authors
stringlengths
3
62.8k
title
stringlengths
1
382
comments
stringlengths
1
1.15k
journal-ref
stringlengths
1
557
doi
stringlengths
7
153
report-no
stringlengths
1
509
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
timestamp[s]date
2007-05-23 00:00:00
2025-04-04 00:00:00
authors_parsed
listlengths
1
2.83k
quant-ph/0609164
Won-Ho Kye
Won-Ho Kye
Quantum Key Distribution with Screening and Analyzing
3 pages,1 figure. Typos are fixed
null
null
null
quant-ph
null
We propose a quantum key distribution scheme by using screening angles and analyzing detectors which enable to notice the presence of Eve who eavesdrops the quantum channel, as the revised protocol of the recent quantum key distribution [Phys. Rev. Lett. 95, 040501 (2005)]. We discuss the security of the proposed quantum key distribution against various attacks including impersonation attack and Trojan Horse attack.
[ { "version": "v1", "created": "Thu, 21 Sep 2006 15:14:23 GMT" }, { "version": "v2", "created": "Fri, 22 Sep 2006 12:16:07 GMT" }, { "version": "v3", "created": "Wed, 4 Oct 2006 14:21:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Kye", "Won-Ho", "" ] ]
quant-ph/0609165
Francesco Ticozzi
Francesco Ticozzi and Lorenza Viola
Single-bit Feedback and Quantum Dynamical Decoupling
12 pages, 2 figures
Physical Review A 74, 052328, 2006
10.1103/PhysRevA.74.052328
null
quant-ph
null
Synthesizing an effective identity evolution in a target system subjected to unwanted unitary or non-unitary dynamics is a fundamental task for both quantum control and quantum information processing applications. Here, we investigate how single-bit, discrete-time feedback capabilities may be exploited to enact or to enhance quantum procedures for effectively suppressing unwanted dynamics in a finite-dimensional open quantum system. An explicit characterization of the joint unitary propagators correctable by a single-bit feedback strategy for arbitrary evolution time is obtained. For a two-dimensional target system, we show how by appropriately combining quantum feedback with dynamical decoupling methods, concatenated feedback-decoupling schemes may be built, which can operate under relaxed control assumptions and can outperform purely closed-loop and open-loop protocols.
[ { "version": "v1", "created": "Thu, 21 Sep 2006 16:54:02 GMT" } ]
2010-12-08T00:00:00
[ [ "Ticozzi", "Francesco", "" ], [ "Viola", "Lorenza", "" ] ]
quant-ph/0609166
Fr\'ed\'eric Dupuis
Fr\'ed\'eric Dupuis, Nicolas Gisin, Andr\'e Allan M\'ethot
No nonlocal box with uniform outputs is universal
11 pages, 3 figures
null
null
null
quant-ph
null
We show that standard nonlocal boxes, also known as Popescu-Rohrlich machines, are not sufficient to simulate any nonlocal correlations that do not allow signalling. This was known in the multipartite scenario, but we extend the result to the bipartite case. We then generalize this result further by showing that no finite set containing any finite-output-alphabet nonlocal boxes with uniform outputs can be a universal set for nonlocality.
[ { "version": "v1", "created": "Thu, 21 Sep 2006 19:04:45 GMT" } ]
2007-05-23T00:00:00
[ [ "Dupuis", "Frédéric", "" ], [ "Gisin", "Nicolas", "" ], [ "Méthot", "André Allan", "" ] ]
quant-ph/0609167
Masaki Owari
Masaki Owari, Samuel L. Braunstein, Kae Nemoto, Mio Murao
\epsilon-convertibility of entangled states and extension of Schmidt rank in infinite-dimensional systems
23page, the third version. small typos changed
Quantum Information and Computation, Vol. 8, No.1&2 (2008) 0030-0052
null
null
quant-ph
null
By introducing the concept of $\epsilon$-convertibility, we extend Nielsen's and Vidal's theorems to the entanglement transformation of infinite-dimensional systems. Using an infinite-dimensional version of Vidal's theorem we derive a new stochastic-LOCC (SLOCC) monotone which can be considered as an extension of the Schmidt rank. We show that states with polynomially-damped Schmidt coefficients belong to a higher rank of entanglement class in terms of SLOCC convertibility. For the case of Hilbert spaces of countable, but infinite dimensionality, we show that there are actually an uncountable number of classes of pure non-interconvertible bipartite entangled states.
[ { "version": "v1", "created": "Thu, 21 Sep 2006 19:19:56 GMT" }, { "version": "v2", "created": "Fri, 22 Sep 2006 06:36:50 GMT" }, { "version": "v3", "created": "Tue, 15 May 2007 03:55:57 GMT" }, { "version": "v4", "created": "Wed, 3 Oct 2007 09:02:16 GMT" } ]
2009-09-29T00:00:00
[ [ "Owari", "Masaki", "" ], [ "Braunstein", "Samuel L.", "" ], [ "Nemoto", "Kae", "" ], [ "Murao", "Mio", "" ] ]
quant-ph/0609168
Andris Ambainis
Andris Ambainis
Quantum search with variable times
19 pages
null
null
null
quant-ph
null
Since Grover's seminal work, quantum search has been studied in great detail. In the usual search problem, we have a collection of n items and we would like to find a marked item. We consider a new variant of this problem in which evaluating the i-th item may take a different number of time steps for different i. Let t_i be the number of time steps required to evaluate the i-th item. If the numbers t_i are known in advance, we give an algorithm that solves the problem in O(\sqrt{t_1^2+t_2^2+...+t_n^2}) steps. This is optimal, as we also show a matching lower bound. The case, when t_i are not known in advance, can be solved with a polylogarithmic overhead. We also give an application of our new search algorithm to computing read-once functions.
[ { "version": "v1", "created": "Thu, 21 Sep 2006 21:38:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Ambainis", "Andris", "" ] ]
quant-ph/0609169
Yiyang Gong
Yiyang Gong, Jelena Vuckovic
Design of Plasmon Cavities for Solid-State Cavity QED Applications
added physical temperature dependence, added reference
null
10.1063/1.2431450
null
quant-ph physics.optics
null
Research on photonic cavities with low mode volume and high quality factor garners much attention because of applications ranging from optoelectronics to cavity quantum electrodynamics (QED). We propose a cavity based on surface plasmon modes confined by metallic distributed Bragg reflectors. We analyze the structure with Finite Difference Time Domain simulations and obtain modes with quality factor 1000 (including losses from metals), reduced mode volume relative to photonic crystal cavities, Purcell enhancements of hundreds, and even the capability of enabling cavity QED strong coupling.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 00:31:54 GMT" }, { "version": "v2", "created": "Mon, 2 Oct 2006 01:03:40 GMT" }, { "version": "v3", "created": "Sat, 25 Nov 2006 01:20:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Gong", "Yiyang", "" ], [ "Vuckovic", "Jelena", "" ] ]
quant-ph/0609170
Ryo Namiki
Ryo Namiki, Masato Koashi, Nobuyuki Imoto
Optimal Gaussian $N$-to-$M$ cloning with linear optics and Gaussian cloning of known-phase coherent states
null
null
null
null
quant-ph
null
We show how to implement the optimal Gaussian $N$-to-$M$ cloning with linear optics and homodyne detection. We also show that the Gaussian $N$-to-$M$ cloning of known-phase coherent states can be performed with the fidelity $\sqrt \frac{2 M N}{2M N+M -N}$ by linear optics and homodyne detection, and with $\frac{2}{\sqrt{1+\frac{1}{N}}+\sqrt {1-\frac{1}{M}}}$ by utilizing quadrature squeezing. From the classical limit of the cloning (1-to-$\infty$ cloning), a necessary condition of continuous variable quantum key distribution using known-phase coherent states is provided.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 05:54:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Namiki", "Ryo", "" ], [ "Koashi", "Masato", "" ], [ "Imoto", "Nobuyuki", "" ] ]
quant-ph/0609171
Karl Tordrup
Karl Tordrup and Klaus M{\o}lmer
Effects of ground state hyperfine shifts in quantum computing with optically hole burnt materials
7 pages, 10 figures
null
10.1103/PhysRevA.75.022316
null
quant-ph
null
We present an investigation of the effects of constant but random shifts of the ground hyperfine qubit states in the setting of quantum computing with ion doped crystals. Complex hyperbolic secant pulses can be used to transfer ions reliably to electronically excited states, and a perturbative approach is used to analyse the effect of ground state hyperfine shifts. This analysis shows that the errors due to the hyperfine shift are dynamically supressed during gate operation, a fact we attribute to the AC Stark shift. Furthermore we present an implementation of a controlled phase gate which is resilient to the effects of the hyperfine shift. Decoherence and decay effects are included in simulations in order to show that a demonstration of quantum gates is feasible over the relevant range of system parameters.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 11:03:28 GMT" } ]
2013-05-29T00:00:00
[ [ "Tordrup", "Karl", "" ], [ "Mølmer", "Klaus", "" ] ]
quant-ph/0609172
Alexandre Matzkin
A. Matzkin and V. Nurock
Are Bohmian trajectories real? On the dynamical mismatch between de Broglie-Bohm and classical dynamics in semiclassical systems
Figures downgraded to low resolution. V2:Minor changes
Studies in Hist. and Philosophy of Science B, 39, 17, 2008. [Published version is slightly different and carries the title "Classical and Bohmian trajectories in semiclassical systems: Mismatch in dynamics, mismatch in reality?" ]
10.1016/j.shpsb.2007.04.005
null
quant-ph hep-th
null
The de Broglie-Bohm interpretation of quantum mechanics aims to give a realist description of quantum phenomena in terms of the motion of point-like particles following well-defined trajectories. This work is concerned by the de Broglie-Bohm account of the properties of semiclassical systems. Semiclassical systems are quantum systems that display the manifestation of classical trajectories: the wavefunction and the observable properties of such systems depend on the trajectories of the classical counterpart of the quantum system. For example the quantum properties have a regular or disordered aspect depending on whether the underlying classical system has regular or chaotic dynamics. In contrast, Bohmian trajectories in semiclassical systems have little in common with the trajectories of the classical counterpart, creating a dynamical mismatch relative to the quantum-classical correspondence visible in these systems. Our aim is to describe this mismatch (explicit illustrations are given), explain its origin, and examine some of the consequences on the status of Bohmian trajectories in semiclassical systems. We argue in particular that semiclassical systems put stronger constraints on the empirical acceptability and plausibility of Bohmian trajectories because the usual arguments given to dismiss the mismatch between the classical and the de Broglie-Bohm motions are weakened by the occurrence of classical trajectories in the quantum wavefunction of such systems.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 09:59:28 GMT" }, { "version": "v2", "created": "Thu, 12 Apr 2007 17:23:39 GMT" } ]
2008-02-04T00:00:00
[ [ "Matzkin", "A.", "" ], [ "Nurock", "V.", "" ] ]
quant-ph/0609173
Moiseev Sergei Andreevich
S.A.Moiseev, C.Simon and N.Gisin
Photon Echo Quantum Memory for Arbitrary Non-Stationary Light Fields
15 pages, 3 figures
null
null
null
quant-ph
null
We develop the theory of an optical quantum memory protocol based on the three pulse photon echo (PE) in an optically dense medium with controlled reversible inhomogeneous broadening (CRIB). The wave-function of the retrieved photon echo field is derived explicitly as a function of an arbitrary input Data light field. The storage and retrieval of time-bin qubit states based on the described quantum memory is discussed, and it is shown that the memory allows to measure the path length difference in an imbalanced interferometer using short light pulses.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 12:26:29 GMT" }, { "version": "v2", "created": "Wed, 4 Oct 2006 13:15:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Moiseev", "S. A.", "" ], [ "Simon", "C.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/0609174
Michael Mehring
Michael Mehring, Klaus Mueller, Ilya Sh. Averbukh, Wolfgang Merkel and Wolfgang Schleich
NMR experiment factors numbers with Gauss sums
4 pages 5 figures
null
10.1103/PhysRevLett.98.120502
null
quant-ph
null
We factor the number 157573 using an NMR implementation of Gauss sums.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 14:26:47 GMT" } ]
2015-06-26T00:00:00
[ [ "Mehring", "Michael", "" ], [ "Mueller", "Klaus", "" ], [ "Averbukh", "Ilya Sh.", "" ], [ "Merkel", "Wolfgang", "" ], [ "Schleich", "Wolfgang", "" ] ]
quant-ph/0609175
Berthold-Georg Englert
Syed M. Assad, Jun Suzuki, Berthold-Georg Englert
Raw-data attacks in quantum cryptography with partial tomography
11 pages, 2 figures
International Journal of Quantum Information 4 (2006) 1003-1012
null
null
quant-ph
null
We consider a variant of the BB84 protocol for quantum cryptography, the prototype of tomographically incomplete protocols, where the key is generated by one-way communication rather than the usual two-way communication. Our analysis, backed by numerical evidence, establishes thresholds for eavesdropping attacks on the raw data and on the generated key at quantum bit error rates of 10% and 6.15%, respectively. Both thresholds are lower than the threshold for unconditional security in the standard BB84 protocol.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 14:59:57 GMT" } ]
2011-03-15T00:00:00
[ [ "Assad", "Syed M.", "" ], [ "Suzuki", "Jun", "" ], [ "Englert", "Berthold-Georg", "" ] ]
quant-ph/0609176
Massimo Panella
Giuseppe Martinelli and Massimo Panella
An Algorithm to Speed Up Quantum Search
Paper withdraw
null
null
null
quant-ph
null
The paper has been withdrawn because the research work is still in progress.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 16:05:27 GMT" }, { "version": "v2", "created": "Fri, 13 Oct 2006 13:25:05 GMT" }, { "version": "v3", "created": "Mon, 18 Dec 2006 16:58:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Martinelli", "Giuseppe", "" ], [ "Panella", "Massimo", "" ] ]
quant-ph/0609177
Manabu Miyamoto
Manabu Miyamoto
Zero energy resonance and the logarithmically slow decay of unstable multilevel systems
31 pages, no figures
J. Math. Phys. 47, 082103 (2006)
10.1063/1.2227260
null
quant-ph
null
The long time behavior of the reduced time evolution operator for unstable multilevel systems is studied based on the N-level Friedrichs model in the presence of a zero energy resonance.The latter means the divergence of the resolvent at zero energy. Resorting to the technique developed by Jensen and Kato [Duke Math. J. 46, 583 (1979)], the zero energy resonance of this model is characterized by the zero energy eigenstate that does not belong to the Hilbert space. It is then shown that for some kinds of the rational form factors the logarithmically slow decay of the reduced time evolution operator can be realized.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 16:26:30 GMT" }, { "version": "v2", "created": "Sat, 23 Sep 2006 02:16:03 GMT" } ]
2015-06-26T00:00:00
[ [ "Miyamoto", "Manabu", "" ] ]
quant-ph/0609178
Gerardo Adesso
Gerardo Adesso, Marie Ericsson, Fabrizio Illuminati
Coexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous variable systems
8 pages, 4 figures. Extended version. Added discussion about entanglement sharing and its promiscuous structure in qudits and non-Gaussian states
Phys. Rev. A 76, 022315 (2007)
10.1103/PhysRevA.76.022315
null
quant-ph cond-mat.other math-ph math.MP physics.optics
null
Quantum mechanics imposes 'monogamy' constraints on the sharing of entanglement. We show that, despite these limitations, entanglement can be fully 'promiscuous', i.e. simultaneously present in unlimited two-body and many-body forms in states living in an infinite-dimensional Hilbert space. Monogamy just bounds the divergence rate of the various entanglement contributions. This is demonstrated in simple families of N-mode (N >= 4) Gaussian states of light fields or atomic ensembles, which therefore enable infinitely more freedom in the distribution of information, as opposed to systems of individual qubits. Such a finding is of importance for the quantification, understanding and potential exploitation of shared quantum correlations in continuous variable systems. We discuss how promiscuity gradually arises when considering simple families of discrete variable states, with increasing Hilbert space dimension towards the continuous variable limit. Such models are somehow analogous to Gaussian states with asymptotically diverging, but finite squeezing. In this respect, we find that non-Gaussian states (which in general are more entangled than Gaussian states), exhibit also the interesting feature that their entanglement is more shareable: in the non-Gaussian multipartite arena, unlimited promiscuity can be already achieved among three entangled parties, while this is impossible for Gaussian, even infinitely squeezed states.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 20:00:22 GMT" }, { "version": "v2", "created": "Wed, 8 Nov 2006 12:13:15 GMT" }, { "version": "v3", "created": "Tue, 29 May 2007 09:47:38 GMT" } ]
2007-08-25T00:00:00
[ [ "Adesso", "Gerardo", "" ], [ "Ericsson", "Marie", "" ], [ "Illuminati", "Fabrizio", "" ] ]
quant-ph/0609179
Sergio Boixo
Sergio Boixo, Steven T. Flammia, Carlton M. Caves, JM Geremia
Generalized Limits for Single-Parameter Quantum Estimation
4 pages, 1 figure. v2 typos corrected
Phys. Rev. Lett. 98, 090401 (2007)
10.1103/PhysRevLett.98.090401
null
quant-ph cond-mat.other
null
We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multi-system interactions. For a Hamiltonian with $k$-system parameter-sensitive terms, the quantum limit scales as $1/N^k$ where $N$ is the number of systems. These quantum limits remain valid when the Hamiltonian is augmented by any parameter independent interaction among the systems and when adaptive measurements via parameter-independent coupling to ancillas are allowed.
[ { "version": "v1", "created": "Fri, 22 Sep 2006 20:01:39 GMT" }, { "version": "v2", "created": "Tue, 21 Nov 2006 20:51:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Boixo", "Sergio", "" ], [ "Flammia", "Steven T.", "" ], [ "Caves", "Carlton M.", "" ], [ "Geremia", "JM", "" ] ]
quant-ph/0609180
Masato Koashi
Masato Koashi
Efficient quantum key distribution with practical sources and detectors
4 pages, 3 figures
null
null
null
quant-ph
null
We consider the security of a system of quantum key distribution (QKD) using only practical devices. Currently, attenuated laser pulses are widely used and considered to be the most practical light source. For the receiver of photons, threshold (or on/off) photon detectors are almost the only choice. Combining the decoy-state idea and the security argument based on the uncertainty principle, we show that a QKD system composed of such practical devices can achieve the unconditional security without any significant penalty in the key rate and the distance limitation.
[ { "version": "v1", "created": "Sat, 23 Sep 2006 05:46:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Koashi", "Masato", "" ] ]
quant-ph/0609181
David Foulis
D. J. Foulis
Rings with effects
20 pages
null
null
null
quant-ph
null
A ring with effects (e-ring) is a generalization of the ring of bounded linear operators on a Hilbert space and the subsystem of effect operators (positive Hermitian operators dominated by the identity operator). The POV-measures representing (perhaps fuzzy) quantum mechanical observables take on their valued in the system of Hilbert-space effect operators. We study and give several examples of e-rings, including von Neumann algebras and rings of bounded measurable functions.
[ { "version": "v1", "created": "Sat, 23 Sep 2006 15:34:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Foulis", "D. J.", "" ] ]
quant-ph/0609182
Heng Fan
Gui-Fang Dang, Heng Fan
Optimal Broadcasting of Mixed States
10 pages, published version
Phys. Rev. A 76, 022323 (2007)
10.1103/PhysRevA.76.022323
null
quant-ph
null
The N to M (M>N) universal quantum broadcasting of mixed states are proposed for qubits system. The broadcasting of mixed states is universal and optimal in the sense that the shrinking factor is independent of input state and achieves the upper bound. The quantum broadcasting of mixed qubits is a generalization of the universal quantum cloning machine for identical pure input states. A new pure state decompositions of the identical mixed qubits are obtained.
[ { "version": "v1", "created": "Sat, 23 Sep 2006 21:31:03 GMT" }, { "version": "v2", "created": "Thu, 14 Dec 2006 06:48:35 GMT" }, { "version": "v3", "created": "Wed, 9 May 2007 16:22:35 GMT" }, { "version": "v4", "created": "Thu, 22 Nov 2007 03:16:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Dang", "Gui-Fang", "" ], [ "Fan", "Heng", "" ] ]
quant-ph/0609183
Andrey Leksin
A. P. Alodjants, S. M. Arakelian, S. N. Bagayev, I. A. Chekhonin, V. S. Egorov
Quantum cloning in coupled states of optical field and atomic ensemble by quasi-condensation of polaritons
11 pages, 1 postscript figure, uses iopart.cls
Journal of Russian Laser Research, Volume 27, Number 5 (2006) pp.482-491
null
null
quant-ph
null
We consider a new approach for storing quantum information by macroscopic atomic excitations of two level atomic system. We offer the original scheme of quantum cloning of optical field into the cavity polaritons containing the phase insensitive parametrical amplifier and atomic cell placed in the cavity. The high temperature quasi-condensation (and/or condensation) phenomenon for polaritons arising in the cavity under the certain conditions is proposed for the first time.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 13:37:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Alodjants", "A. P.", "" ], [ "Arakelian", "S. M.", "" ], [ "Bagayev", "S. N.", "" ], [ "Chekhonin", "I. A.", "" ], [ "Egorov", "V. S.", "" ] ]
quant-ph/0609184
Antony Valentini
Guido Bacciagaluppi, Antony Valentini
Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference
553 pages, 33 figures. Draft of a book (as of Sept. 2006, same as v1). Published in Oct. 2009, with corrections and an appendix, by Cambridge University Press (available at http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521814218)
G. Bacciagaluppi and A. Valentini, Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference (Cambridge University Press, 2009)
null
null
quant-ph gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We reconsider the crucial 1927 Solvay conference in the context of current research in the foundations of quantum theory. Contrary to folklore, the interpretation question was not settled at this conference and no consensus was reached; instead, a range of sharply conflicting views were presented and extensively discussed. Today, there is no longer an established or dominant interpretation of quantum theory, so it is important to re-evaluate the historical sources and keep the interpretation debate open. In this spirit, we provide a complete English translation of the original proceedings (lectures and discussions), and give background essays on the three main interpretations presented: de Broglie's pilot-wave theory, Born and Heisenberg's quantum mechanics, and Schroedinger's wave mechanics. We provide an extensive analysis of the lectures and discussions that took place, in the light of current debates about the meaning of quantum theory. The proceedings contain much unexpected material, including extensive discussions of de Broglie's pilot-wave theory (which de Broglie presented for a many-body system), and a "quantum mechanics" apparently lacking in wave function collapse or fundamental time evolution. We hope that the book will contribute to the ongoing revival of research in quantum foundations, as well as stimulate a reconsideration of the historical development of quantum physics. A more detailed description of the book may be found in the Preface. (Copyright by Cambridge University Press (ISBN: 9780521814218).)
[ { "version": "v1", "created": "Sun, 24 Sep 2006 19:29:48 GMT" }, { "version": "v2", "created": "Sat, 24 Oct 2009 16:33:27 GMT" } ]
2009-10-24T00:00:00
[ [ "Bacciagaluppi", "Guido", "" ], [ "Valentini", "Antony", "" ] ]
quant-ph/0609185
Teiko Heinonen
P. Busch, T. Heinonen, P. Lahti
Heisenberg's Uncertainty Principle
published version
Physics Reports 452 (2007) 155-176
10.1016/j.physrep.2007.05.006
null
quant-ph
null
Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the inaccuracies of any joint measurement of these quantities; and for the inaccuracy of a measurement of one of the quantities and the ensuing disturbance in the distribution of the other quantity. Whilst conceptually distinct, these three kinds of uncertainty relations are shown to be closely related formally. Finally, we survey models and experimental implementations of joint measurements of position and momentum and comment briefly on the status of experimental tests of the uncertainty principle.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 12:27:15 GMT" }, { "version": "v2", "created": "Tue, 5 Dec 2006 02:25:57 GMT" }, { "version": "v3", "created": "Tue, 30 Oct 2007 21:46:53 GMT" } ]
2007-10-31T00:00:00
[ [ "Busch", "P.", "" ], [ "Heinonen", "T.", "" ], [ "Lahti", "P.", "" ] ]
quant-ph/0609186
Jian-Ming Cai
Jian-Ming Cai, Zheng-Wei Zhou, Guang-Can Guo
Fully multi-qubit entangled states
9 pages, 1 figure. Extra conditions for theorem 2 and corollary 1 are added
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the properties of different levels of entanglement in graph states which correspond to connected graphs. Combining the operational definition of graph states and the postulates of entanglement measures, we prove that in connected graph states of N>3 qubits there is no genuine three-qubit entanglement. For certain classes of graph states, all genuine k-qubit entanglement, 2\leq k\leq N-1, among every k qubits vanishes. These results about connected graph states naturally lead to the definition of fully multi-qubit entangled states. We also find that the connected graph states of four qubits is one but not the only one class of fully four-qubit entangled states.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 02:09:00 GMT" }, { "version": "v2", "created": "Mon, 11 Dec 2006 09:04:31 GMT" }, { "version": "v3", "created": "Sun, 25 Mar 2007 03:07:21 GMT" }, { "version": "v4", "created": "Fri, 11 Jul 2008 07:19:56 GMT" } ]
2008-07-11T00:00:00
[ [ "Cai", "Jian-Ming", "" ], [ "Zhou", "Zheng-Wei", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0609187
Xiangyao Wu
Xiang-Yao Wu, Bai-Jun Zhang, Xiao-Jing Liu, Li Wang, Bing Liu, Xi-Hui Fan, Yi-Qing Guo
Quantum theory of electronic double-slit diffraction
9pages, 14figures
null
10.1088/0256-307X/24/10/008
null
quant-ph
null
The phenomena of electron, neutron, atomic and molecular diffraction have been studied by many experiments, and these experiments are explained by some theoretical works. In this paper, we study electronic double-slit diffraction with quantum mechanical approach. We can obtain the results: (1) When the slit width $a$ is in the range of $3\lambda\sim 50\lambda$ we can obtain the obvious diffraction patterns. (2) when the ratio of $\frac{d+a}{a}=n (n=1, 2, 3,\cdot\cdot\cdot)$, order $2n, 3n, 4n,\cdot\cdot\cdot$ are missing in diffraction pattern. (3)When the ratio of $\frac{d+a}{a}\neq n (n=1, 2, 3,\cdot\cdot\cdot)$, there isn't missing order in diffraction pattern. (4) We also find a new quantum mechanics effect that the slit thickness $c$ has a large affect to the electronic diffraction patterns. We think all the predictions in our work can be tested by the electronic double-slit diffraction experiment.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 03:40:40 GMT" }, { "version": "v2", "created": "Sat, 3 Mar 2007 03:15:10 GMT" }, { "version": "v3", "created": "Tue, 24 Apr 2007 11:02:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Wu", "Xiang-Yao", "" ], [ "Zhang", "Bai-Jun", "" ], [ "Liu", "Xiao-Jing", "" ], [ "Wang", "Li", "" ], [ "Liu", "Bing", "" ], [ "Fan", "Xi-Hui", "" ], [ "Guo", "Yi-Qing", "" ] ]
quant-ph/0609188
Vincent Delaubert
Vincent Delaubert (ACQAO, LKB - Jussieu), Nicolas Treps (LKB - Jussieu), Claude Fabre (LKB - Jussieu), Hans A. Bachor (ACQAO), Philippe R\'efr\'egier (IF)
Quantum limits in image processing
4 pages, two figures
null
null
null
quant-ph
null
We determine the bound to the maximum achievable sensitivity in the estimation of a scalar parameter from the information contained in an optical image in the presence of quantum noise. This limit, based on the Cramer-Rao bound, is valid for any image processing protocol. It is calculated both in the case of a shot noise limited image and of a non-classical illumination. We also give practical experimental implementations allowing us to reach this absolute limit.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 08:57:20 GMT" } ]
2016-08-16T00:00:00
[ [ "Delaubert", "Vincent", "", "ACQAO, LKB - Jussieu" ], [ "Treps", "Nicolas", "", "LKB -\n Jussieu" ], [ "Fabre", "Claude", "", "LKB - Jussieu" ], [ "Bachor", "Hans A.", "", "ACQAO" ], [ "Réfrégier", "Philippe", "", "IF" ] ]
quant-ph/0609189
Andrey Leksin
A. P. Alodjants, S. M. Arakelian
Quantum storage and cloning of light states in EIT-like medium
13 pages, 4 postscript figures, uses ws-ijmpb.cls
Int. J. of Modern Physics B, 20 (2006) 1593-1605
10.1142/S0217979206034145
null
quant-ph
null
In the paper we consider a new approach for storage and cloning of quantum information by three level atomic (molecular) systems in the presence of the electromagnetically induced transparency (EIT) effect. For that, the various schemes of transformation into the bright and dark polaritons for quantum states of optical field in the medium are proposed. Physical conditions of realization of quantum nondemolition (QND) storage of quantum optical state are formulated for the first time. We have shown that the best storage and cloning of can be achieved with the atomic ensemble in the Bose-Einstein condensation state. We discuss stimulated Raman two-color photoassociation for experimental realization of the schemes under consideration.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 13:01:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Alodjants", "A. P.", "" ], [ "Arakelian", "S. M.", "" ] ]
quant-ph/0609190
James B. Hartle
Murray Gell-Mann (Santa Fe Institute) and James Hartle (University of California Santa Barbara)
Quasiclassical Coarse Graining and Thermodynamic Entropy
17 pages, 0 figures, revtex4, Dedicated to Rafael Sorkin on his 60th birthday, minor corrections
Phys.Rev.A76:022104,2007
10.1103/PhysRevA.76.022104
null
quant-ph cond-mat.stat-mech gr-qc hep-th
null
Our everyday descriptions of the universe are highly coarse-grained, following only a tiny fraction of the variables necessary for a perfectly fine-grained description. Coarse graining in classical physics is made natural by our limited powers of observation and computation. But in the modern quantum mechanics of closed systems, some measure of coarse graining is inescapable because there are no non-trivial, probabilistic, fine-grained descriptions. This essay explores the consequences of that fact. Quantum theory allows for various coarse-grained descriptions some of which are mutually incompatible. For most purposes, however, we are interested in the small subset of ``quasiclassical descriptions'' defined by ranges of values of averages over small volumes of densities of conserved quantities such as energy and momentum and approximately conserved quantities such as baryon number. The near-conservation of these quasiclassical quantities results in approximate decoherence, predictability, and local equilibrium, leading to closed sets of equations of motion. In any description, information is sacrificed through the coarse graining that yields decoherence and gives rise to probabilities for histories. In quasiclassical descriptions, further information is sacrificed in exhibiting the emergent regularities summarized by classical equations of motion. An appropriate entropy measures the loss of information. For a ``quasiclassical realm'' this is connected with the usual thermodynamic entropy as obtained from statistical mechanics. It was low for the initial state of our universe and has been increasing since.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 18:50:50 GMT" }, { "version": "v2", "created": "Tue, 19 Dec 2006 19:11:59 GMT" }, { "version": "v3", "created": "Wed, 16 May 2007 18:03:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Gell-Mann", "Murray", "", "Santa Fe Institute" ], [ "Hartle", "James", "", "University of\n California Santa Barbara" ] ]
quant-ph/0609191
Daniel Felinto
D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. de Riedmatten, and H. J. Kimble
Conditional control of the quantum states of remote atomic memories for quantum networking
10 pages, 8 figures; Minor corrections. References updated. Published at Nature Physics 2, Advanced Online Publication of 10/29 (2006)
null
10.1038/nphys450
null
quant-ph
null
Quantum networks hold the promise for revolutionary advances in information processing with quantum resources distributed over remote locations via quantum-repeater architectures. Quantum networks are composed of nodes for storing and processing quantum states, and of channels for transmitting states between them. The scalability of such networks relies critically on the ability to perform conditional operations on states stored in separated quantum memories. Here we report the first implementation of such conditional control of two atomic memories, located in distinct apparatuses, which results in a 28-fold increase of the probability of simultaneously obtaining a pair of single photons, relative to the case without conditional control. As a first application, we demonstrate a high degree of indistinguishability for remotely generated single photons by the observation of destructive interference of their wavepackets. Our results demonstrate experimentally a basic principle for enabling scalable quantum networks, with applications as well to linear optics quantum computation.
[ { "version": "v1", "created": "Mon, 25 Sep 2006 18:57:40 GMT" }, { "version": "v2", "created": "Thu, 16 Nov 2006 22:46:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Felinto", "D.", "" ], [ "Chou", "C. W.", "" ], [ "Laurat", "J.", "" ], [ "Schomburg", "E. W.", "" ], [ "de Riedmatten", "H.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/0609192
Mladen Pavicic
Norman D. Megill and Mladen Pavicic
Mayet-Godowski Hilbert Lattice Equations
10 pages
null
null
null
quant-ph
null
Several new results in the field of Hilbert lattice equations based on states defined on the lattice as well as novel techniques used to arrive at these results are presented. An open problem of Mayet concerning Hilbert lattice equations based on Hilbert-space-valued states is answered.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 01:29:48 GMT" }, { "version": "v2", "created": "Tue, 26 Sep 2006 21:03:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Megill", "Norman D.", "" ], [ "Pavicic", "Mladen", "" ] ]
quant-ph/0609193
David Press
David Press, Stephan Goetzinger, Stephan Reitzenstein, Carolin Hofmann, Andreas Loeffler, Martin Kamp, Alfred Forchel, and Yoshihisa Yamamoto
Photon Antibunching from a Single Quantum Dot-Microcavity System in the Strong Coupling Regime
4 pages, 4 eps figures. New data added: measurement of anti-correlation between exciton and cavity emission modes
null
10.1103/PhysRevLett.98.117402
null
quant-ph
null
We observe antibunching in the photons emitted from a strongly-coupled single quantum dot and pillar microcavity in resonance. When the quantum dot was spectrally detuned from the cavity mode, the cavity emission remained antibunched, and also anticorrelated from the quantum dot emission. Resonant pumping of the selected quantum dot via an excited state enabled these observations by eliminating the background emitters that are usually coupled to the cavity. This device demonstrates an on-demand single photon source operating in the strong coupling regime, with a Purcell factor of 61 and quantum effciency of 97%
[ { "version": "v1", "created": "Tue, 26 Sep 2006 04:06:43 GMT" }, { "version": "v2", "created": "Mon, 2 Oct 2006 06:29:24 GMT" }, { "version": "v3", "created": "Tue, 20 Feb 2007 05:45:09 GMT" } ]
2015-06-26T00:00:00
[ [ "Press", "David", "" ], [ "Goetzinger", "Stephan", "" ], [ "Reitzenstein", "Stephan", "" ], [ "Hofmann", "Carolin", "" ], [ "Loeffler", "Andreas", "" ], [ "Kamp", "Martin", "" ], [ "Forchel", "Alfred", "" ], [ "Yamamoto", "Yoshihisa", "" ] ]
quant-ph/0609194
Galina L. Klimchitskaya
F. Chen, G.L. Klimchitskaya, V.M. Mostepanenko, and U. Mohideen
Demonstration of the difference Casimir force for samples with different charge carrier densities
4 pages, 4 figures, to appear in Phys. Rev. Lett
Phys. Rev. Lett., v.97, N 17, p.170402-1-4 (2006).
10.1103/PhysRevLett.97.170402
null
quant-ph cond-mat.mtrl-sci
null
A measurement of the Casimir force between a gold coated sphere and two Si plates of different carrier densities is performed using a high vacuum based atomic force microscope. The results are compared with the Lifshitz theory and good agreement is found. Our experiment demonstrates that by changing the carrier density of the semiconductor plate by several orders of magnitude it is possible to modify the Casimir interaction. This result may find applications in nanotechnology.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 08:04:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "F.", "" ], [ "Klimchitskaya", "G. L.", "" ], [ "Mostepanenko", "V. M.", "" ], [ "Mohideen", "U.", "" ] ]
quant-ph/0609195
Wolfgang Mauerer
Wolfgang Mauerer, Christine Silberhorn
Passive decoy state quantum key distribution: Closing the gap to perfect sources
4 pages, 3 figures. State preparation corrected
Phys. Rev. A 75, 050305(R) (2007)
10.1103/PhysRevA.75.050305
null
quant-ph
null
We propose a quantum key distribution scheme which closely matches the performance of a perfect single photon source. It nearly attains the physical upper bound in terms of key generation rate and maximally achievable distance. Our scheme relies on a practical setup based on a parametric downconversion source and present-day, non-ideal photon-number detection. Arbitrary experimental imperfections which lead to bit errors are included. We select decoy states by classical post-processing. This allows to improve the effective signal statistics and achievable distance.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 13:10:36 GMT" }, { "version": "v2", "created": "Tue, 17 Oct 2006 17:42:12 GMT" } ]
2007-10-15T00:00:00
[ [ "Mauerer", "Wolfgang", "" ], [ "Silberhorn", "Christine", "" ] ]
quant-ph/0609196
Kedar Ranade
Kedar S. Ranade, Gernot Alber
Asymptotic correctability of Bell-diagonal qudit states and lower bounds on tolerable error probabilities in quantum cryptography
submitted to J. Phys. A
J. Phys. A: Math. Theor. 40 (2007), 139 - 153
10.1088/1751-8113/40/1/008
doi:10.1088/1751-8113/40/1/008
quant-ph
null
The concept of asymptotic correctability of Bell-diagonal quantum states is generalised to elementary quantum systems of higher dimensions. Based on these results basic properties of quantum state purification protocols are investigated which are capable of purifying tensor products of Bell-diagonal states and which are based on $B$-steps of the Gottesman-Lo-type with the subsequent application of a Calderbank-Shor-Steane quantum code. Consequences for maximum tolerable error rates of quantum cryptographic protocols are discussed.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 11:36:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Ranade", "Kedar S.", "" ], [ "Alber", "Gernot", "" ] ]
quant-ph/0609197
David Vitali
D. Vitali, S. Gigan, A. Ferreira, H. R. Boehm, P. Tombesi, A. Guerreiro, V. Vedral, A. Zeilinger, and M. Aspelmeyer
Optomechanical entanglement between a movable mirror and a cavity field
4 pages, 3 figures
Phys. Rev. Lett. 98, 030405 (2007)
10.1103/PhysRevLett.98.030405
null
quant-ph
null
We show how stationary entanglement between an optical cavity field mode and a macroscopic vibrating mirror can be generated by means of radiation pressure. We also show how the generated optomechanical entanglement can be quantified and we suggest an experimental readout-scheme to fully characterize the entangled state. Surprisingly, such optomechanical entanglement is shown to persist for environment temperatures above 20K using state-of-the-art experimental parameters.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 13:17:21 GMT" }, { "version": "v2", "created": "Thu, 7 Dec 2006 14:37:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Vitali", "D.", "" ], [ "Gigan", "S.", "" ], [ "Ferreira", "A.", "" ], [ "Boehm", "H. R.", "" ], [ "Tombesi", "P.", "" ], [ "Guerreiro", "A.", "" ], [ "Vedral", "V.", "" ], [ "Zeilinger", "A.", "" ], [ "Aspelmeyer", "M.", "" ] ]
quant-ph/0609198
Chris Dewdney
George Horton and Chris Dewdney
Energy momentum flows for the massive vector field
20 pages, 6 figures
null
null
null
quant-ph
null
We present a causal trajectory interpretation for the massive vector field, based on the flows of rest energy and a conserved density defined using the time-like eigenvectors and eigenvalues of the stress-energy-momentum tensor. This work extends our previous work which used a similar procedure for the scalar field. The massive, spin-one, complex vector field is discussed in detail and solutions are classified using the Pauli-Lubanski spin vector. The flows of energy-momentum are illustrated in a simple example of standing waves in a plane.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 13:35:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Horton", "George", "" ], [ "Dewdney", "Chris", "" ] ]
quant-ph/0609199
Lucas Celeri Ms.
L. C. C\'eleri, M. A. de Ponte, C. J. Villas-Boas and M. H. Y. Moussa
Switching off the reservoir through nonstationary quantum systems
11 pages, 1 figure
null
null
null
quant-ph
null
In this paper we demonstrate that the inevitable action of the environment can be substantially weakened when considering appropriate nonstationary quantum systems. Beyond protecting quantum states against decoherence, an oscillating frequency can be engineered to make the system-reservoir coupling almost negligible. Therefore, differently from previously-reported protecting schemes, our technique does not require a previous knowledge of the state to be protected. We show, in the domain of cavity quantum electrodynamics, how to engineer such a nonstationary cavity mode through its dispersive interaction with a driven two-level atom.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 13:47:02 GMT" }, { "version": "v2", "created": "Mon, 26 Feb 2007 18:05:33 GMT" }, { "version": "v3", "created": "Tue, 27 Feb 2007 17:06:41 GMT" }, { "version": "v4", "created": "Mon, 9 Apr 2007 18:58:20 GMT" } ]
2016-08-16T00:00:00
[ [ "Céleri", "L. C.", "" ], [ "de Ponte", "M. A.", "" ], [ "Villas-Boas", "C. J.", "" ], [ "Moussa", "M. H. Y.", "" ] ]
quant-ph/0609200
Celso J. Villas Boas Dr.
R. L. Rodrigues, M. H. Y. Moussa, and C. J. Villas-Boas
Engineering phonon-photon interactions with a driven trapped ion in a cavity
15 pages, 3 figures. To appear in Physical Review A
null
10.1103/PhysRevA.74.063811
null
quant-ph
null
We show how to generate quadratic and bi-quadratic phonon-photon interactions through a driven three-level ion inside a cavity. With such a system it is possible to squeeze the cavity-field state, the ion motional state or even the entangled phonon-photon state. We present a detailed analysis of the cavity-field squeezing process, distinguishing three different regimes of this amplification mechanism: the subcritical, critical, and supercritical regimes, which depend, apart from the coupling parameters, on the excitation of the vibrational state. As an application of the engineered Hamiltonians, we show how to implement a Fock-state filter for the vibrational mode. New aspects of the technique of adiabatic elimination emerge in this analysis.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 14:04:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Rodrigues", "R. L.", "" ], [ "Moussa", "M. H. Y.", "" ], [ "Villas-Boas", "C. J.", "" ] ]
quant-ph/0609201
Matthias Staudt U.
M. U. Staudt, S. R. Hastings-Simon, M. Nilsson, M. Afzelius, V. Scarani, R. Ricken, H. Suche, W. Sohler, W. Tittel, N. Gisin
Fidelity of an optical memory based on stimulated photon echoes
null
null
10.1103/PhysRevLett.98.113601
null
quant-ph
null
We investigated the preservation of information encoded into the relative phase and amplitudes of optical pulses during storage and retrieval in an optical memory based on stimulated photon echo. By interfering photon echoes produced in a Ti-indiffused single-mode Er-doped LiNbO$_{3}$ waveguiding structure at telecom wavelength, we found that decoherence in the atomic medium translates only as losses (and not as degradation) of information, as long as the data pulse series is short compared to the atomic decoherence time. The experimentally measured value of the visibility for interfering echoes is close to 100 %. In addition to the expected three-pulse photon-echo interferences we also observed interference due to a four-pulse photon echo. Our findings are of particular interest for future long-distance quantum communication protocols, which rely on the reversible transfer of quantum states between light and atoms with high fidelity.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 15:13:33 GMT" } ]
2015-06-26T00:00:00
[ [ "Staudt", "M. U.", "" ], [ "Hastings-Simon", "S. R.", "" ], [ "Nilsson", "M.", "" ], [ "Afzelius", "M.", "" ], [ "Scarani", "V.", "" ], [ "Ricken", "R.", "" ], [ "Suche", "H.", "" ], [ "Sohler", "W.", "" ], [ "Tittel", "W.", "" ], [ "Gisin", "N.", "" ] ]
quant-ph/0609202
Fernando M. Cucchietti
Fernando M. Cucchietti
Loschmidt echo in the Bose-Hubbard model: turning back time in an optical lattice
null
J. Opt. Soc. Am. B 27, A30-A35 (2010)
10.1364/JOSAB.27.000A30
LA-UR-06-5903
quant-ph cond-mat.other physics.atom-ph
null
I show how to perform a Loschmidt echo (time reversal) in the Bose-Hubbard model implemented with cold bosonic atoms in an optical lattice. The echo is obtained by applying a linear phase imprint on the lattice and a change in magnetic field to tune the boson-boson scattering length through a Feshbach resonance. I discuss how the echo can measure the fidelity of the quantum simulation, the intensity of an external potential (e.g. gravity), or the critical point of the superfluid-insulator quantum phase transition.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 19:49:29 GMT" } ]
2010-03-12T00:00:00
[ [ "Cucchietti", "Fernando M.", "" ] ]
quant-ph/0609203
Goetz S. Uhrig
G\"otz S. Uhrig
Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
4 pages, 2 figures; revised version with additional references for better context, more stringent discussion
PRL 98, 100504 (2007)
10.1103/PhysRevLett.98.100504
null
quant-ph cond-mat.mes-hall cond-mat.stat-mech cond-mat.str-el
null
A general strategy to maintain the coherence of a quantum bit is proposed. The analytical result is derived rigorously including all memory and back-action effects. It is based on an optimized $\pi$-pulse sequence for dynamic decoupling extending the Carr-Purcell-Meiboom-Gill (CPMG) cycle. The optimized sequence is very efficient, in particular for strong couplings to the environment.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 19:58:16 GMT" }, { "version": "v2", "created": "Thu, 8 Feb 2007 09:15:00 GMT" } ]
2011-11-09T00:00:00
[ [ "Uhrig", "Götz S.", "" ] ]
quant-ph/0609204
Peter Richter
Peter C. Richter
Quantum speedup of classical mixing processes
13 pages; v2 revised several parts
Phys. Rev. A 76, 042306 (2007)
10.1103/PhysRevA.76.042306
null
quant-ph
null
Most approximation algorithms for #P-complete problems (e.g., evaluating the permanent of a matrix or the volume of a polytope) work by reduction to the problem of approximate sampling from a distribution $\pi$ over a large set $\S$. This problem is solved using the {\em Markov chain Monte Carlo} method: a sparse, reversible Markov chain $P$ on $\S$ with stationary distribution $\pi$ is run to near equilibrium. The running time of this random walk algorithm, the so-called {\em mixing time} of $P$, is $O(\delta^{-1} \log 1/\pi_*)$ as shown by Aldous, where $\delta$ is the spectral gap of $P$ and $\pi_*$ is the minimum value of $\pi$. A natural question is whether a speedup of this classical method to $O(\sqrt{\delta^{-1}} \log 1/\pi_*)$, the diameter of the graph underlying $P$, is possible using {\em quantum walks}. We provide evidence for this possibility using quantum walks that {\em decohere} under repeated randomized measurements. We show: (a) decoherent quantum walks always mix, just like their classical counterparts, (b) the mixing time is a robust quantity, essentially invariant under any smooth form of decoherence, and (c) the mixing time of the decoherent quantum walk on a periodic lattice $\Z_n^d$ is $O(n d \log d)$, which is indeed $O(\sqrt{\delta^{-1}} \log 1/\pi_*)$ and is asymptotically no worse than the diameter of $\Z_n^d$ (the obvious lower bound) up to at most a logarithmic factor.
[ { "version": "v1", "created": "Tue, 26 Sep 2006 20:52:12 GMT" }, { "version": "v2", "created": "Thu, 5 Apr 2007 14:53:53 GMT" } ]
2011-11-09T00:00:00
[ [ "Richter", "Peter C.", "" ] ]
quant-ph/0609205
Vladimir Korepin
Vladimir E. Korepin and Brenno C. Vallilo
Group Theoretical Formulation of Quantum Partial Search Algorithm
12 pages
Prog. Theor. Phys. Vol. 116, No. 5 (2006), p. 783
10.1143/PTP.116.783
YIPT-SB-06-41
quant-ph cs.DS math.GR
null
Searching and sorting used as a subroutine in many important algorithms. Quantum algorithm can find a target item in a database faster than any classical algorithm. One can trade accuracy for speed and find a part of the database (a block) containing the target item even faster, this is partial search. An example is the following: exact address of the target item is given by a sequence of many bits, but we need to know only some of them. More generally partial search considers the following problem: a database is separated into several blocks. We want to find a block with the target item, not the target item itself. In this paper we reformulate quantum partial search algorithm in terms of group theory.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 00:32:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Korepin", "Vladimir E.", "" ], [ "Vallilo", "Brenno C.", "" ] ]
quant-ph/0609206
Joerg Evers
Mohammad Mahmoudi and Joerg Evers
Light propagation through closed-loop atomic media beyond the multiphoton resonance condition
10 pages, 8 figures
Phys. Rev. A. 74, 063827 (2006)
10.1103/PhysRevA.74.063827
null
quant-ph
null
The light propagation of a probe field pulse in a four-level double-lambda type system driven by laser fields that form a closed interaction loop is studied. Due to the finite frequency width of the probe pulse, a time-independent analysis relying on the multiphoton resonance assumption is insufficient. Thus we apply a Floquet decomposition of the equations of motion to solve the time-dependent problem beyond the multiphoton resonance condition. We find that the various Floquet components can be interpreted in terms of different scattering processes, and that the medium response oscillating in phase with the probe field in general is not phase-dependent. The phase dependence arises from a scattering of the coupling fields into the probe field mode at a frequency which in general differs from the probe field frequency. We thus conclude that in particular for short pulses with a large frequency width, inducing a closed loop interaction contour may not be advantageous, since otherwise the phase-dependent medium response may lead to a distortion of the pulse shape. Finally, using our time-dependent analysis, we demonstrate that both the closed-loop and the non-closed loop configuration allow for sub- and superluminal light propagation with small absorption or even gain. Further, we identify one of the coupling field Rabi frequencies as a control parameter that allows to conveniently switch between sub- and superluminal light propagation.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 07:33:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Mahmoudi", "Mohammad", "" ], [ "Evers", "Joerg", "" ] ]
quant-ph/0609207
Gui Lu Long
Kai Wen and Gui Lu Long
One-party Quantum Error Correcting Codes for Unbalanced Errors: Principles and Application to Quantum Dense Coding and Quantum Secure Direct Communications
15 pages and 2 figures and 3 tables
null
null
null
quant-ph
null
In this article, we present the unbalanced quantum error correcting codes(one-party-QECC), a novel idea for correcting unbalanced quantum errors. In some quantum communication tasks using entangled pairs, the error distributions between two parts of the pairs are unbalanced, and. one party holds the whole entangled pairs at the final stage, and he or she is able to perform joint measurements on the pairs. In this situation the proposed one-party-QECC can improve error correction by allowing a higher tolerated error rate. We have established the general correspondence between linear classical codes and the one-party-QECC, and we have given the general definition for this type quantum error correcting codes.It has been shown that the one-party-QECC can correct errors as long as the error threshold is not larger than 0.5. The one-party-QECC works even for fidelity less than 0.5 as long as it is larger than 0.25. We give several concrete examples of the one-party-QECC. We provide the applications of one-party-QECC in quantum dense coding so that it can function in noisy channels. As a result, a large number of quantum secure direct communication protocols based on dense coding is also able to be protected by this new type of one-party-QECC.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 09:29:34 GMT" }, { "version": "v2", "created": "Wed, 28 Feb 2007 02:08:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Wen", "Kai", "" ], [ "Long", "Gui Lu", "" ] ]
quant-ph/0609208
Helene Perrin
Emiliya Dimova (LAC), Olivier Morizot (LPL), Guillaume Stern (LAC), Carlos L. Garrido Alzar (LPL), Andrea Fioretti (LAC), Vincent Lorent (LPL), Daniel Comparat (LAC), H\'el\`ene Perrin (LPL), Pierre Pillet (LAC)
Continuous transfer and laser guiding between two cold atom traps
10 pages, 8 figures
European physical Journal D 42 (2007) 299-308
10.1140/epjd/e2007-00022-0
null
quant-ph
null
We have demonstrated and modeled a simple and efficient method to transfer atoms from a first Magneto-Optical Trap (MOT) to a second one. Two independent setups, with cesium and rubidium atoms respectively, have shown that a high power and slightly diverging laser beam optimizes the transfer between the two traps when its frequency is red-detuned from the atomic transition. This pushing laser extracts a continuous beam of slow and cold atoms out of the first MOT and also provides a guiding to the second one through the dipolar force. In order to optimize the transfer efficiency, the dependence of the atomic flux on the pushing laser parameters (power, detuning, divergence and waist) is investigated. The atomic flux is found to be proportional to the first MOT loading rate. Experimentally, the transfer efficiency reaches 70%, corresponding to a transfer rate up to 2.7x10^8 atoms/s with a final velocity of 5.5 m/s. We present a simple analysis of the atomic motion inside the pushing-guiding laser, in good agreement with the experimental data.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 09:57:49 GMT" }, { "version": "v2", "created": "Fri, 6 Apr 2007 08:44:12 GMT" } ]
2016-08-16T00:00:00
[ [ "Dimova", "Emiliya", "", "LAC" ], [ "Morizot", "Olivier", "", "LPL" ], [ "Stern", "Guillaume", "", "LAC" ], [ "Alzar", "Carlos L. Garrido", "", "LPL" ], [ "Fioretti", "Andrea", "", "LAC" ], [ "Lorent", "Vincent", "", "LPL" ], [ "Comparat", "Daniel", "", "LAC" ], [ "Perrin", "Hélène", "", "LPL" ], [ "Pillet", "Pierre", "", "LAC" ] ]
quant-ph/0609209
Svozil Karl
Karl Svozil
Contexts in quantum, classical and partition logic
Invited contribution to Handbook of Quantum Logic, edited by Kurt Engesser et al
Handbook of Quantum Logic and Quantum Structures, ed. by Kurt Engesser, Dov M. Gabbay and Daniel Lehmann (Elsevier, Amsterdam, 2008), pp. 551-586
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Contexts are maximal collections of co-measurable observables "bundled together" to form a "quasi-classical mini-universe." Different notions of contexts are discussed for classical, quantum and generalized urn-automaton systems.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 10:44:03 GMT" }, { "version": "v2", "created": "Wed, 14 May 2008 14:25:15 GMT" }, { "version": "v3", "created": "Thu, 20 Nov 2008 15:58:46 GMT" }, { "version": "v4", "created": "Thu, 4 Dec 2008 11:26:11 GMT" } ]
2009-10-13T00:00:00
[ [ "Svozil", "Karl", "" ] ]
quant-ph/0609210
Mauro Paternostro
M. Paternostro, D. Vitali, S. Gigan, M. S. Kim, C. Brukner, J. Eisert, M. Aspelmeyer
Creating and probing macroscoping entanglement with light
4 pages, 5 figure, RevTeX4
Phys. Rev. Lett. 99, 250401 (2007).
10.1103/PhysRevLett.99.250401
null
quant-ph
null
We describe a scheme showing signatures of macroscopic optomechanical entanglement generated by radiation pressure in a cavity system with a massive movable mirror. The system we consider reveals genuine multipartite entanglement. We highlight the way the entanglement involving the inaccessible massive object is unravelled, in our scheme, by means of field-field quantum correlations.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 10:53:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Paternostro", "M.", "" ], [ "Vitali", "D.", "" ], [ "Gigan", "S.", "" ], [ "Kim", "M. S.", "" ], [ "Brukner", "C.", "" ], [ "Eisert", "J.", "" ], [ "Aspelmeyer", "M.", "" ] ]
quant-ph/0609211
Wang Zhi Yong
Zhi-Yong Wang, Cai-Dong Xiong
How to Introduce Time Operator
17 pages, accepted to be published in Annals of Physics
Annals of Physics (New York) 322, 2304-2314 (2007)
10.1016/j.aop.2006.10.007
null
quant-ph
null
Time operator can be introduced by three different approaches: by pertaining it to dynamical variables; by quantizing the classical expression of time; taken as the restriction of energy shift generator to the Hilbert space of a physical system.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 13:01:22 GMT" }, { "version": "v2", "created": "Tue, 9 Jan 2007 12:12:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Zhi-Yong", "" ], [ "Xiong", "Cai-Dong", "" ] ]
quant-ph/0609212
Jonathan Silman
J. Silman and B. Reznik
Long-range entanglement in the Dirac vacuum
11 pages, 1 figure
Phys. Rev. A 75, 052307 (2007)
10.1103/PhysRevA.75.052307
null
quant-ph
null
Recently, there have been a number of works investigating the entanglement properties of distinct noncomplementary parts of discrete and continuous Bosonic systems in ground and thermal states. The Fermionic case, however, has yet to be expressly addressed. In this paper we investigate the entanglement between a pair of far-apart regions of the 3+1 dimensional massless Dirac vacuum via a previously introduced distillation protocol [B. Reznik et al., Phys. Rev. A 71, 042104 (2005)]. We show that entanglement persists over arbitrary distances, and that as a function of L/R, where L is the distance between the regions and R is their typical scale, it decays no faster than exp(-(L/R)^2). We discuss the similarities and differences with analogous results obtained for the massless Klein-Gordon vacuum.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 13:59:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Silman", "J.", "" ], [ "Reznik", "B.", "" ] ]
quant-ph/0609213
Mark Walton
Mark A. Walton
Wigner functions, contact interactions, and matching
20 pages, no figures
Ann. Phys.322:2233-2248, 2007
10.1016/j.aop.2006.11.015
null
quant-ph
null
Quantum mechanics in phase space (or deformation quantization) appears to fail as an autonomous quantum method when infinite potential walls are present. The stationary physical Wigner functions do not satisfy the normal eigen equations, the *-eigen equations, unless an ad hoc boundary potential is added [Dias-Prata]. Alternatively, they satisfy a different, higher-order, ``*-eigen-* equation'', locally, i.e. away from the walls [Kryukov-Walton]. Here we show that this substitute equation can be written in a very simple form, even in the presence of an additional, arbitrary, but regular potential. The more general applicability of the -eigen- equation is then demonstrated. First, using an idea from [Fairlie-Manogue], we extend it to a dynamical equation describing time evolution. We then show that also for general contact interactions, the -eigen- equation is satisfied locally. Specifically, we treat the most general possible (Robin) boundary conditions at an infinite wall, general one-dimensional point interactions, and a finite potential jump. Finally, we examine a smooth potential, that has simple but different expressions for x positive and negative. We find that the -eigen- equation is again satisfied locally. It seems, therefore, that the -eigen- equation is generally relevant to the matching of Wigner functions; it can be solved piece-wise and its solutions then matched.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 19:39:10 GMT" } ]
2009-07-17T00:00:00
[ [ "Walton", "Mark A.", "" ] ]
quant-ph/0609214
Michael G. Moore
Y. P. Huang, M. G. Moore
Long-distance teleportation of atomic qubit via optical interferometry
null
null
null
null
quant-ph
null
The problem of long-distance teleportation of single-atom qubits via a common photonic channel is examined within the framework of a Mach-Zender optical interferometer. As expected, when a coherent state is used as input, a high-finesse optical cavity is required to overcome sensitivity to spontaneous emission. However, we find that a number-squeezed light field in a twin-Fock state can in principle create useful entanglement without cavity-enhancement. Both approaches require single photon counting detectors, and best results are obtained by combining cavity-feedback with twin-fock inputs. Such an approach may allow a fidelity of $.99$ using a two-photon input and currently available mirror and detector technology. In addition, the present approach can be conveniently extended to generate multi-site entanglement and entanglement swapping, both of which are necessities in quantum networks.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 20:51:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Huang", "Y. P.", "" ], [ "Moore", "M. G.", "" ] ]
quant-ph/0609215
Alex Kuzmich
T. Chaneliere, D. N. Matsukevich, S. D. Jenkins, S.-Y. Lan, R. Zhao, T. A. B. Kennedy, and A. Kuzmich
Quantum interference of electromagnetic fields from remote quantum memories
4 pages, 3 figures
Physical Review Letters 98, 113602 (2007)
10.1103/PhysRevLett.98.113602
null
quant-ph
null
We observe quantum, Hong-Ou-Mandel, interference of fields produced by two remote atomic memories. High-visibility interference is obtained by utilizing the finite atomic memory time in four-photon delayed coincidence measurements. Interference of fields from remote atomic memories is a crucial element in protocols for scalable generation of multi-node remote qubit entanglement.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 21:43:08 GMT" } ]
2015-06-26T00:00:00
[ [ "Chaneliere", "T.", "" ], [ "Matsukevich", "D. N.", "" ], [ "Jenkins", "S. D.", "" ], [ "Lan", "S. -Y.", "" ], [ "Zhao", "R.", "" ], [ "Kennedy", "T. A. B.", "" ], [ "Kuzmich", "A.", "" ] ]
quant-ph/0609216
Rolando Somma
Rolando D. Somma, Cristian D. Batista, Gerardo Ortiz
A Quantum Approach to Classical Statistical Mechanics
4 pages, no figures
null
10.1103/PhysRevLett.99.030603
null
quant-ph cond-mat.other cond-mat.stat-mech q-bio.OT
null
We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum model. This classical-to-quantum mapping allows us to deal with standard optimization methods, such as simulated and quantum annealing, on an equal basis. Consequently, we extend the quantum annealing method to simulate classical systems at finite temperatures. Using the adiabatic theorem of quantum mechanics, we derive the rates to assure convergence to the optimal thermodynamic state. For simulated and quantum annealing, we obtain the asymptotic rates of $T(t) \approx (p N) /(k_B \log t)$ and $\gamma(t) \approx (Nt)^{-\bar{c}/N}$, for the temperature and magnetic field, respectively. Other annealing strategies, as well as their potential speed-up, are also discussed.
[ { "version": "v1", "created": "Wed, 27 Sep 2006 22:07:00 GMT" }, { "version": "v2", "created": "Wed, 11 Oct 2006 17:15:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Somma", "Rolando D.", "" ], [ "Batista", "Cristian D.", "" ], [ "Ortiz", "Gerardo", "" ] ]
quant-ph/0609217
Kazuya Yuasa
Kazuya Yuasa, Hiromichi Nakazato
Resonant Scattering Can Enhance the Degree of Entanglement
7 pages, 13 figures
J. Phys. A 40 (2007) 297-308
10.1088/1751-8113/40/2/009
null
quant-ph
null
Generation of entanglement between two qubits by scattering an entanglement mediator is discussed. The mediator bounces between the two qubits and exhibits a resonant scattering. It is clarified how the degree of the entanglement is enhanced by the constructive interference of such bouncing processes. Maximally entangled states are available via adjusting the incident momentum of the mediator or the distance between the two qubits, but their fine tunings are not necessarily required to gain highly entangled states and a robust generation of entanglement is possible.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 01:30:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Yuasa", "Kazuya", "" ], [ "Nakazato", "Hiromichi", "" ] ]
quant-ph/0609218
Tokishiro Karasawa
M. Hotta, T. Karasawa, and M. Ozawa
N-body-extended Channel Estimation for Low-Noise Parameters
10 pages, 1 figure
J. Phys. A: Math. Gen. 39 No 46 (17 November 2006) 14465-14470
10.1088/0305-4470/39/46/015
null
quant-ph
null
The notion of low-noise channels was recently proposed and analyzed in detail in order to describe noise-processes driven by environment [M. Hotta, T. Karasawa and M. Ozawa, Phys. Rev. A72, 052334 (2005)]. An estimation theory of low-noise parameters of channels has also been developed. In this report, we address the low-noise parameter estimation problem for the $N$-body extension of low-noise channels. We perturbatively calculate the Fisher information of the output states in order to evaluate the lower-bound of the mean-square error of the parameter estimation. We show that the maximum of the Fisher information over all input states can be attained by a factorized input state in the leading order of the low-noise parameter. Thus, to achieve optimal estimation, it is not necessary for there to be entanglement of the $N$ subsystems, as long as the true low-noise parameter is sufficiently small.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 05:06:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Hotta", "M.", "" ], [ "Karasawa", "T.", "" ], [ "Ozawa", "M.", "" ] ]
quant-ph/0609219
Zafar Ahmed
Zafar Ahmed
Eigenvalue problems for the complex PT-symmetric potential V(x)= igx
no figures, 9 pages
null
10.1016/j.physleta.2006.11.057
null
quant-ph
null
The spectrum of complex PT-symmetric potential, $V(x)=igx$, is known to be null. We enclose this potential in a hard-box: $V(|x| \ge 1) =\infty $ and in a soft-box: $V(|x|\ge 1)=0$. In the former case, we find real discrete spectrum and the exceptional points of the potential. The asymptotic eigenvalues behave as $E_n \sim n^2.$ The solvable purely imaginary PT-symmetric potentials vanishing asymptotically known so far do not have real discrete spectrum. Our solvable soft-box potential possesses two real negative discrete eigenvalues if $|g|<(1.22330447)$. The soft-box potential turns out to be a scattering potential not possessing reflectionless states.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 10:25:45 GMT" }, { "version": "v2", "created": "Tue, 21 Nov 2006 19:35:24 GMT" } ]
2015-06-26T00:00:00
[ [ "Ahmed", "Zafar", "" ] ]
quant-ph/0609220
Massoud Amini
Massoud Amini, Mehrdad Kalantar, Mahmood M. Roozbehani
Hidden Subhypergroup Problem
part of a technical report to IPM, Tehran
null
null
84430017
quant-ph
null
The Hidden Subgroup Problem is used in many quantum algorithms such as Simon's algorithm and Shor's factoring and discrete log algorithms. A polynomial time solution is known in case of abelian groups, and normal subgroups of arbitrary finite groups. The general case is still open. An efficient solution of the problem for symmetric group $S_n$ would give rise to an efficient quantum algorithm for Graph Isomorphism Problem. We formulate a hidden sub-hypergroup problem for finite hypergroups and solve it for finite commutative hypergroups. The given algorithm is efficient if the corresponding QFT could be calculated efficiently.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 10:41:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Amini", "Massoud", "" ], [ "Kalantar", "Mehrdad", "" ], [ "Roozbehani", "Mahmood M.", "" ] ]
quant-ph/0609221
Steffen Trimper
Michael Schulz, Steffen Trimper
Persistence of Quantum Information
5 pages
null
10.1016/j.physleta.2007.04.026
null
quant-ph
null
There is an increasing interest in the role of macroscopic environments to our understanding of the basics of quantum theory. The knowledge of the implications of the quantum theory to other theories, especially to the statistical mechanics and the domain of validity has captivated scientists from the beginning of quantum description. In such a context, the presence of an environment is commonly thought as entanglement, decohering and mixing properties of quantum system. Generically, an environment is assumed to be a noisy reservoir or a heat bath. Whereas in common interpretation of statistical mechanics the heat bath is unspecified, in quantum systems a heat bath can also provide an indirect interaction between otherwise totally decoupled subsystems and consequently a means to entangle them \cite{cdkl,dvclp,bfp}. In simple example for the entanglement between two qubits due to the interaction with a common heat bath has been explicitly shown in \cite{b}. Whereas in that paper the bath is described by a collection of harmonic oscillators, it seems to be more reasonable to specify the bath by stochastic forces represented by stochastic fields. From a more general point of view we expect the bath should be better described in a stochastic manner and not by deterministic forces. In the present paper we consider a two level system (qubits) which are able to perform flip processes by a coupling to classical stochastic fields. Thus we bridge the gap between quantum and classical probability theory. This problem is related to many other questions of quantum optics and quantum electronics where quantum statistical aspects arising from the intrinsic quantum character of the system while the possible time-dependence of system parameters may be interpreted as the influence of classical thermal fluctuations.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 11:01:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Schulz", "Michael", "" ], [ "Trimper", "Steffen", "" ] ]
quant-ph/0609222
Pochung Chen
Pochung Chen
Dynamical decoupling induced renormalization of the non-Markovian dynamics
null
Phys. Rev. A 75, 062301 (2007)
10.1103/PhysRevA.75.062301
null
quant-ph
null
In this work we develop a numerical framework to investigate the renormalization of the non-Markovian dynamics of an open quantum system to which dynamical decoupling is applied. We utilize a non-Markovian master equation which is derived from the non-Markovian quantum trajectories formalism. It contains incoherent Markovian dynamics and coherent Schr\"odinger dynamics as its limiting cases and is capable of capture the transition between them. We have performed comprehensive simulations for the cases in which the system is either driven by the Ornstein-Uhlenbeck noise or or is described by the spin-boson model. The renormalized dynamics under bang-bang control and continuous dynamical decoupling are simulated. Our results indicate that the renormalization of the non-Markovian dynamics depends crucially on the spectral density of the environment and the envelop of the decoupling pulses. The framework developed in this work hence provides an unified approach to investigate the efficiency of realistic decoupling pulses. This work also opens a way to further optimize the decoupling via pulse shaping.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 12:53:11 GMT" } ]
2007-06-13T00:00:00
[ [ "Chen", "Pochung", "" ] ]
quant-ph/0609223
Jesus Urias
Jes\'us Ur\'ias
Pure entangled states probed by multipartite Bell experiments
Submitted to Physical Review A
null
null
null
quant-ph
null
The spectral decomposition of all (n,2,2) Bell operators ($2^{2^n}$ in number, $n \ge 2$), as introduced by Werner and Wolf, is done. Its implications on the characterization of Bell operators as probes of entanglement are considered in detail.
[ { "version": "v1", "created": "Thu, 28 Sep 2006 16:44:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Urías", "Jesús", "" ] ]
quant-ph/0609224
Patrick Leung
P. M. Leung and T. C. Ralph
Improving the Fidelity of Optical Zeno Gates via Distillation
6 pages, 11 figures, Submitted to PRA
null
10.1103/PhysRevA.74.062325
null
quant-ph
null
We have modelled the Zeno effect Control-Sign gate of Franson et al (PRA 70, 062302, 2004) and shown that high two-photon to one-photon absorption ratios, $\kappa$, are needed for high fidelity free standing operation. Hence we instead employ this gate for cluster state fusion, where the requirement for $\kappa$ is less restrictive. With the help of partially offline one-photon and two-photon distillations, we can achieve a fusion gate with unity fidelity but non-unit probability of success. We conclude that for $\kappa > 2200$, the Zeno fusion gate will out perform the equivalent linear optics gate.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 04:20:16 GMT" } ]
2015-06-26T00:00:00
[ [ "Leung", "P. M.", "" ], [ "Ralph", "T. C.", "" ] ]
quant-ph/0609225
Mattias Johnsson
Mattias T. Johnsson and Simon A. Haine
Generating squeezing in an atom laser through self-interaction
v2. Incorporates changes due to referees' comments. We also demonstrate that our scheme generates number squeezing as well as quadrature squeezing
Phys. Rev. Lett. 99, 010401 (2007)
10.1103/PhysRevLett.99.010401
null
quant-ph cond-mat.other
null
We describe a scheme for creating quadrature- and intensity-squeezed atom lasers that do not require squeezed light as an input. The beam becomes squeezed due to nonlinear interactions between the atoms in the beam in an analogue to optical Kerr squeezing. We develop an analytic model of the process which we compare to a detailed stochastic simulation of the system using phase space methods. Finally we show that significant squeezing can be obtained in an experimentally realistic system and suggest ways of increasing the tunability of the squeezing.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 06:49:47 GMT" }, { "version": "v2", "created": "Thu, 12 Jul 2007 03:34:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Johnsson", "Mattias T.", "" ], [ "Haine", "Simon A.", "" ] ]
quant-ph/0609226
Debasis Sarkar
Indrani Chattopadhyay and Debasis Sarkar
General Classes of Impossible Operations through the Existence of Incomparable States
13 pages, Latex, to appear in Quantum Information and Computation
Quantum Information and Computation, 7 (2007) 392-400
null
null
quant-ph
null
In this work we show that the most general class of anti-unitary operators are nonphysical in nature through the existence of incomparable pure bipartite entangled states. It is also shown that a large class of inner-product-preserving operations defined only on the three qubits having spin-directions along x, y and z are impossible. If we perform such an operation locally on a particular pure bipartite state then it will exactly transform to another pure bipartite state that is incomparable with the original one. As subcases of the above results we find the nonphysical nature of universal exact flipping operation and existence of universal Hadamard gate. Beyond the information conservation in terms of entanglement, this work shows how an impossible local operation evolve with the joint system in a nonphysical way.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 08:54:40 GMT" } ]
2007-11-04T00:00:00
[ [ "Chattopadhyay", "Indrani", "" ], [ "Sarkar", "Debasis", "" ] ]
quant-ph/0609227
Michael Duff
M. J. Duff and S. Ferrara
E_7 and the tripartite entanglement of seven qubits
Minor improvements. 15 page latex
Phys.Rev.D76:025018,2007
10.1103/PhysRevD.76.025018
Imperial/TP/2006/mjd/5 and CERN-PH-TH/2006-194
quant-ph gr-qc hep-th
null
In quantum information theory, it is well known that the tripartite entanglement of three qubits is described by the group [SL(2,C)]^3 and that the entanglement measure is given by Cayley's hyperdeterminant. This has provided an analogy with certain N=2 supersymmetric black holes in string theory, whose entropy is also given by the hyperdeterminant. In this paper, we extend the analogy to N=8. We propose that a particular tripartite entanglement of seven qubits, encoded in the Fano plane, is described by the exceptional group E_7(C) and that the entanglement measure is given by Cartan's quartic E_7 invariant.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 10:16:41 GMT" }, { "version": "v2", "created": "Tue, 31 Oct 2006 16:44:46 GMT" }, { "version": "v3", "created": "Wed, 2 May 2007 17:01:57 GMT" }, { "version": "v4", "created": "Tue, 9 Oct 2007 18:45:59 GMT" } ]
2008-11-26T00:00:00
[ [ "Duff", "M. J.", "" ], [ "Ferrara", "S.", "" ] ]
quant-ph/0609228
Christian Roos
M. Riebe, K. Kim, P. Schindler, T. Monz, P. O. Schmidt, T. K. Koerber, W. Haensel, H. Haeffner, C. F. Roos, R. Blatt
Process tomography of ion trap quantum gates
null
Phys. Rev. Lett. 97, 220407 (2006)
10.1103/PhysRevLett.97.220407
null
quant-ph
null
A crucial building block for quantum information processing with trapped ions is a controlled-NOT quantum gate. In this paper, two different sequences of laser pulses implementing such a gate operation are analyzed using quantum process tomography. Fidelities of up to 92.6(6)% are achieved for single gate operations and up to 83.4(8)% for two concatenated gate operations. By process tomography we assess the performance of the gates for different experimental realizations and demonstrate the advantage of amplitude--shaped laser pulses over simple square pulses. We also investigate whether the performance of concatenated gates can be inferred from the analysis of the single gates.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 10:20:18 GMT" } ]
2009-01-15T00:00:00
[ [ "Riebe", "M.", "" ], [ "Kim", "K.", "" ], [ "Schindler", "P.", "" ], [ "Monz", "T.", "" ], [ "Schmidt", "P. O.", "" ], [ "Koerber", "T. K.", "" ], [ "Haensel", "W.", "" ], [ "Haeffner", "H.", "" ], [ "Roos", "C. F.", "" ], [ "Blatt", "R.", "" ] ]
quant-ph/0609229
Igor Bjelakovic
Igor Bjelakovic, Holger Boche
Ergodic Classical-Quantum Channels: Structure and Coding Theorems
19 pages, no figures. Final version
IEEE Transactions on Information Theory Vol. 54, No. 2, pp. 723-742, February 2008
10.1109/TIT.2007.913232
null
quant-ph cs.IT math-ph math.IT math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider ergodic causal classical-quantum channels (cq-channels) which additionally have a decaying input memory. In the first part we develop some structural properties of ergodic cq-channels and provide equivalent conditions for ergodicity. In the second part we prove the coding theorem with weak converse for causal ergodic cq-channels with decaying input memory. Our proof is based on the possibility to introduce joint input-output state for the cq-channels and an application of the Shannon-McMillan theorem for ergodic quantum states. In the last part of the paper it is shown how this result implies coding theorem for the classical capacity of a class of causal ergodic quantum channels.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 11:35:07 GMT" }, { "version": "v2", "created": "Mon, 16 Feb 2009 11:52:46 GMT" } ]
2016-11-18T00:00:00
[ [ "Bjelakovic", "Igor", "" ], [ "Boche", "Holger", "" ] ]
quant-ph/0609230
Sara Felloni
Sara Felloni and Giuliano Strini
A Graphic Representation of States for Quantum Copying Machines
30 pages, 22 figures
Electronic Journal of Theoretical Physics - EJTP 3, No. 11 (2006) 159-187
null
null
quant-ph
null
The aim of this paper is to introduce a new graphic representation of quantum states by means of a specific application: the analysis of two models of quantum copying machines. The graphic representation by diagrams of states offers a clear and detailed visualization of quantum information's flow during the unitary evolution of not too complex systems. The diagrams of states are exponentially more complex in respect to the standard representation and this clearly illustrates the discrepancy of computational power between quantum and classical systems. After a brief introductive exposure of the general theory, we present a constructive procedure to illustrate the new representation by means of concrete examples. Elementary diagrams of states for single-qubit and two-qubit systems and a simple scheme to represent entangled states are presented. Quantum copying machines as imperfect cloners of quantum states are introduced and the quantum copying machines of Griffiths and Niu and of Buzek and Hillery are analyzed, determining quantum circuits of easier interpretation. The method has indeed shown itself to be extremely successful for the representation of the involved quantum operations and it has allowed to point out the characteristic aspects of the quantum computations examined.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 13:16:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Felloni", "Sara", "" ], [ "Strini", "Giuliano", "" ] ]
quant-ph/0609231
Harun Egrifes
Harun Egrifes, Ramazan Sever
Bound-state solutions of the Klein-Gordon equation for the generalized PT-symmetric Hulthen potential
23 pages including 2 figures and 1 table. To appear in International Journal of Theoretical Physics
Int. J. Theo. Phys. 46, 935(2007)
null
null
quant-ph
null
The one-dimensional Klein-Gordon equation is solved for the PT-symmetric generalized Hulthen potential in the scalar coupling scheme. The relativistic bound-state energy spectrum and the corresponding wave functions are obtained by using the Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 13:42:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Egrifes", "Harun", "" ], [ "Sever", "Ramazan", "" ] ]
quant-ph/0609232
Bing He
Bing He, J\'anos A. Bergou and Zhiyong Wang
Implementation of quantum operations on single photon qudits
4 pages, 3 figures
Phys. Rev. A 76, 042326 (2007)
10.1103/PhysRevA.76.042326
null
quant-ph
null
We show that a general linear transformation from one single photon qudit to another, the dimension of which can be either equal or unequal to that of the first one, can be implemented by linear optics. As an application of the scheme we elaborate a method to deterministically realize any finite-element Positive Operator Value Measure (POVM) on single photon signals, which is also generalizable to any quantum system in principle.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 16:58:39 GMT" }, { "version": "v2", "created": "Sat, 30 Sep 2006 05:40:12 GMT" }, { "version": "v3", "created": "Fri, 20 Oct 2006 17:11:38 GMT" }, { "version": "v4", "created": "Wed, 25 Oct 2006 22:39:56 GMT" }, { "version": "v5", "created": "Sat, 24 Feb 2007 19:19:45 GMT" }, { "version": "v6", "created": "Thu, 5 Apr 2007 16:38:53 GMT" }, { "version": "v7", "created": "Sat, 2 Jun 2007 04:23:49 GMT" } ]
2007-10-22T00:00:00
[ [ "He", "Bing", "" ], [ "Bergou", "János A.", "" ], [ "Wang", "Zhiyong", "" ] ]
quant-ph/0609233
Paolo Amore Dr
Paolo Amore, Francisco M. Fernandez
On Dalgarno and Lewis Perturbation Theory for Scattering States
10 pages, 2 figures
null
10.1016/j.physleta.2007.03.031
null
quant-ph
null
We apply the method of Dalgarno and Lewis to scattering states and discuss the choice of the unperturbed model in order to have a convergent perturbation series for the phase shift.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 15:16:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Amore", "Paolo", "" ], [ "Fernandez", "Francisco M.", "" ] ]
quant-ph/0609234
J\'er\'emie Roland
Olga Lopez Acevedo, J\'er\'emie Roland and Nicolas J. Cerf
Exploring scalar quantum walks on Cayley graphs
9 pages, 4 figures
Quantum Information & Computation, 8(1&2):68-81, 2008.
null
null
quant-ph
null
A quantum walk, \emph{i.e.}, the quantum evolution of a particle on a graph, is termed \emph{scalar} if the internal space of the moving particle (often called the coin) has a dimension one. Here, we study the existence of scalar quantum walks on Cayley graphs, which are built from the generators of a group. After deriving a necessary condition on these generators for the existence of a scalar quantum walk, we present a general method to express the evolution operator of the walk, assuming homogeneity of the evolution. We use this necessary condition and the subsequent constructive method to investigate the existence of scalar quantum walks on Cayley graphs of various groups presented with two or three generators. In this restricted framework, we classify all groups -- in terms of relations between their generators -- that admit scalar quantum walks, and we also derive the form of the most general evolution operator. Finally, we point out some interesting special cases, and extend our study to a few examples of Cayley graphs built with more than three generators.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 15:58:28 GMT" }, { "version": "v2", "created": "Sat, 30 Sep 2006 07:12:15 GMT" } ]
2007-11-27T00:00:00
[ [ "Acevedo", "Olga Lopez", "" ], [ "Roland", "Jérémie", "" ], [ "Cerf", "Nicolas J.", "" ] ]
quant-ph/0609235
Andriy Lyakhov
A. O. Lyakhov and C. Bruder
Use of dynamical coupling for improved quantum state transfer
5 pages, 7 figures
Phys. Rev. B 74, 235303 (2006)
10.1103/PhysRevB.74.235303
null
quant-ph
null
We propose a method to improve quantum state transfer in transmission lines. The idea is to localize the information on the last qubit of a transmission line, by dynamically varying the coupling constants between the first and the last pair of qubits. The fidelity of state transfer is higher then in a chain with fixed coupling constants. The effect is stable against small fluctuations in the system parameters.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 17:36:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Lyakhov", "A. O.", "" ], [ "Bruder", "C.", "" ] ]
quant-ph/0609236
J. M. Taylor
L. Jiang, J. M. Taylor, M. D. Lukin
A fast and robust approach to long-distance quantum communication with atomic ensembles
10 pages, 4 figures, 5 tables (Two appendixes are added to justify two claims used in the maintext.)
Phys. Rev. A 76, 012301 (2007)
10.1103/PhysRevA.76.012301
null
quant-ph
null
Quantum repeaters create long-distance entanglement between quantum systems while overcoming difficulties such as the attenuation of single photons in a fiber. Recently, an implementation of a repeater protocol based on single qubits in atomic ensembles and linear optics has been proposed [Nature 414, 413 (2001)]. Motivated by rapid experimental progress towards implementing that protocol, here we develop a more efficient scheme compatible with active purification of arbitrary errors. Using similar resources as the earlier protocol, our approach intrinsically purifies leakage out of the logical subspace and all errors within the logical subspace, leading to greatly improved performance in the presence of experimental inefficiencies. Our analysis indicates that our scheme could generate approximately one pair per 3 minutes over 1280 km distance with fidelity (F>78%) sufficient to violate Bell's inequality.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 17:37:07 GMT" }, { "version": "v2", "created": "Thu, 23 Nov 2006 20:23:21 GMT" }, { "version": "v3", "created": "Wed, 4 Apr 2007 01:19:45 GMT" } ]
2007-07-03T00:00:00
[ [ "Jiang", "L.", "" ], [ "Taylor", "J. M.", "" ], [ "Lukin", "M. D.", "" ] ]
quant-ph/0609237
Stephanie Wehner
Harry Buhrman, Matthias Christandl, Patrick Hayden, Hoi-Kwong Lo, Stephanie Wehner
Security of quantum bit string commitment depends on the information measure
To appear in PRL. Short version of quant-ph/0504078, long version to appear separately. Improved security definition and result, one new lemma that may be of independent interest. v2: added funding reference, no other changes
Phys. Rev. Lett., 97, 250501 (2006)
10.1103/PhysRevLett.97.250501
null
quant-ph
null
Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum world. However, when committing to a string of n bits at once, how far can we stretch the quantum limits? In this letter, we introduce a framework of quantum schemes where Alice commits a string of n bits to Bob, in such a way that she can only cheat on a bits and Bob can learn at most b bits of information before the reveal phase. Our results are two-fold: we show by an explicit construction that in the traditional approach, where the reveal and guess probabilities form the security criteria, no good schemes can exist: a+b is at least n. If, however, we use a more liberal criterion of security, the accessible information, we construct schemes where a=4 log n+O(1) and b=4, which is impossible classically. Our findings significantly extend known no-go results for quantum bit commitment.
[ { "version": "v1", "created": "Fri, 29 Sep 2006 18:02:02 GMT" }, { "version": "v2", "created": "Thu, 9 Nov 2006 13:09:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Buhrman", "Harry", "" ], [ "Christandl", "Matthias", "" ], [ "Hayden", "Patrick", "" ], [ "Lo", "Hoi-Kwong", "" ], [ "Wehner", "Stephanie", "" ] ]
quant-ph/0610001
Pankaj Agrawal
Pankaj Agrawal and Arun Pati
Perfect Teleportation and Superdense Coding With W-States
9 pages, no figure
null
10.1103/PhysRevA.74.062320
null
quant-ph
null
True tripartite entanglement of the state of a system of three qubits can be classified on the basis of stochastic local operations and classical communications (SLOCC). Such states can be classified in two categories: GHZ states and W-states. It is known that GHZ states can be used for teleportation and superdense coding, but the prototype W-state cannot be. However, we show that there is a class of W-states that can be used for perfect teleportation and superdense coding.
[ { "version": "v1", "created": "Sat, 30 Sep 2006 07:05:11 GMT" } ]
2015-06-26T00:00:00
[ [ "Agrawal", "Pankaj", "" ], [ "Pati", "Arun", "" ] ]
quant-ph/0610002
Gennadiy Filippov
G.M. Filippov
New perturbation theory in QED
17 pages, no figures, reported at 2-nd Int.Conf. on quantum electrodynamics and statistical physics QEDSP2006 (19-23 Sept.2006, Kharkov, Ukraine
null
null
null
quant-ph
null
The perturbation theory in QED used the new form of ground state as a state of interacted particles is proposed. The mean electromagnetic field of charged elementary particle is calculated. The possibility of elimination the problem with ultraviolet as well as infrared divergences is shown. The electromagnetic energy of the particle turns out to be regular and small.
[ { "version": "v1", "created": "Sun, 1 Oct 2006 21:09:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Filippov", "G. M.", "" ] ]
quant-ph/0610003
Nilanjana Datta
Garry Bowen and Nilanjana Datta
Quantum Coding Theorems for Arbitrary Sources, Channels and Entanglement Resources
null
null
null
null
quant-ph
null
The information spectrum approach gives general formulae for optimal rates of various information theoretic protocols, under minimal assumptions on the nature of the sources, channels and entanglement resources involved. This paper culminates in the derivation of the dense coding capacity for a noiseless quantum channel, assisted by arbitrary shared entanglement, using this approach. We also review the currently known coding theorems, and their converses, for protocols such as data compression for arbitrary quantum sources and transmission of classical information through arbitrary quantum channels. In addition, we derive the optimal rate of data compression for a mixed source
[ { "version": "v1", "created": "Sat, 30 Sep 2006 12:26:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Bowen", "Garry", "" ], [ "Datta", "Nilanjana", "" ] ]
quant-ph/0610004
Benjamin Greenbaum
Benjamin D. Greenbaum, Salman Habib, Kosuke Shizume, and Bala Sundaram
Semiclassics of the Chaotic Quantum-Classical Transition
16 pages, 7 Figures, Submitted to Phys Rev E
Phys. Rev. E 76, 046215 (2007)
10.1103/PhysRevE.76.046215
null
quant-ph nlin.CD
null
We elucidate the basic physical mechanisms responsible for the quantum-classical transition in one-dimensional, bounded chaotic systems subject to unconditioned environmental interactions. We show that such a transition occurs due to the dual role of noise in regularizing the semiclassical Wigner function and averaging over fine structures in classical phase space. The results are interpreted in the novel context of applying recent advances in the theory of measurement and open systems to the semiclassical quantum regime. We use these methods to show how a local semiclassical picture is stabilized and can then be approximated by a classical distribution at later times. The general results are demonstrated explicitly via high-resolution numerical simulations of the quantum master equation for a chaotic Duffing oscillator.
[ { "version": "v1", "created": "Sat, 30 Sep 2006 15:18:50 GMT" }, { "version": "v2", "created": "Wed, 4 Apr 2007 19:37:18 GMT" }, { "version": "v3", "created": "Wed, 22 Aug 2007 16:31:27 GMT" } ]
2007-10-18T00:00:00
[ [ "Greenbaum", "Benjamin D.", "" ], [ "Habib", "Salman", "" ], [ "Shizume", "Kosuke", "" ], [ "Sundaram", "Bala", "" ] ]
quant-ph/0610005
Qi-Ren Zhang
Qi-Ren Zhang
A General Information Theoretical Proof for the Second Law of Thermodynamics
4 pages
Int. J. Mod. Phys. E17(2008) 531-537
10.1142/S0218301308009859
null
quant-ph cond-mat.stat-mech
null
We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the information non-additivity. Nevertheless, the later is also true in other fields, in which the interaction information is important. Examples are classical statistical mechanics, social statistics and financial processes. The second law of thermodynamics is thus proven in its most general form. It is exactly true, not only in quantum and classical physics but also in other processes, in which the information is conservative and non-additive.
[ { "version": "v1", "created": "Sun, 1 Oct 2006 08:26:08 GMT" }, { "version": "v2", "created": "Wed, 28 Mar 2007 09:57:31 GMT" }, { "version": "v3", "created": "Thu, 29 Mar 2007 02:05:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Qi-Ren", "" ] ]
quant-ph/0610006
Stefano Mancini
Stefano Mancini and Howard M. Wiseman
Optimal control of entanglement via quantum feedback
10 pages, 5 figures
Phys. Rev. A 75, 012330 (2007).
10.1103/PhysRevA.75.012330
null
quant-ph
null
It has recently been shown that finding the optimal measurement on the environment for stationary Linear Quadratic Gaussian control problems is a semi-definite program. We apply this technique to the control of the EPR-correlations between two bosonic modes interacting via a parametric Hamiltonian at steady state. The optimal measurement turns out to be nonlocal homodyne measurement -- the outputs of the two modes must be combined before measurement. We also find the optimal local measurement and control technique. This gives the same degree of entanglement but a higher degree of purity than the local technique previously considered [S. Mancini, Phys. Rev. A {\bf 73}, 010304(R) (2006)].
[ { "version": "v1", "created": "Sun, 1 Oct 2006 08:57:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Mancini", "Stefano", "" ], [ "Wiseman", "Howard M.", "" ] ]
quant-ph/0610007
Charis Anastopoulos
C. Anastopoulos, S. Shresta, B. L. Hu
Quantum Entanglement under Non-Markovian Dynamics of Two Qubits Interacting with a common Electromagnetic Field
37 pages, revTex, 4 figs. Added a new subsection in the derivation of the master equation and one explaining the origin and significance of the non-Markovian behavior. Also a new appendix giving the time-dependent terms in the master equation
null
null
null
quant-ph
null
We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak coupling assumption, but no Born or Markov approximation. We derived a non-Markovian master equation for the evolution of the reduced density matrix of the two-qubit system after integrating out the electromagnetic field modes. It contains a Markovian part with a Lindblad type operator and a nonMarkovian contribution, the physics of which is the main focus of this study. We use the concurrence function as a measure of quantum entanglement between the two qubits. Two classes of states are studied in detail: Class A is a one parameter family of states which are the superposition of the highest energy and Class B states are linear combinations of the symmetric and the antisymmetric Bell states. We obtain similar behavior for the Bell states as in earlier results derived by using the Born-Markov approximation. However, in the Class A states the behavior is qualitatively different: under the non-Markovian evolution we do not see sudden death of quantum entanglement and subsequent revivals, except when the qubits are sufficiently far apart. We provide explanations for such differences of behavior both between these two classes of states and between the predictions from the Markov and non-Markovian dynamics. We also study the decoherence of this two-qubit system and find that the decoherence rate in the case of one qubit initially in an excited state does not change significantly with the qubits separation whereas it does for the case when one qubit is initially in the ground state.
[ { "version": "v1", "created": "Sun, 1 Oct 2006 18:44:49 GMT" }, { "version": "v2", "created": "Wed, 31 Jan 2007 15:36:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Anastopoulos", "C.", "" ], [ "Shresta", "S.", "" ], [ "Hu", "B. L.", "" ] ]
quant-ph/0610008
Robert Alicki
Robert Alicki
Quantumness of Josephson junctions reexamined
8 pages, added new test of quantumness
null
null
null
quant-ph
null
There exists an increasing evidence supporting the picture of the Josephson junction (JJ) as a "macroscopic quantum system". On the other hand the interpretation of experimental data strongly depends on the assumed theoretical model. We analyse the possible states of a Cooper pair box ("charge qubit") for the two types of models : two-mode Bose-Hubbard model with its large $N$ aproximations and the many-body description within the mean-field approximation (Gross-Pitaevski equation). While the first class of models supports the picture of JJ being a quantum subsystem of a single degree of freedom, the second approach yields an essentially classical structure of accessible quantum states which, in particular, implies the absence of entanglement for two coupled JJ's. The arguments in favor of the mean-field theory are presented and different experimental tests including a new proposal are briefly discussed.
[ { "version": "v1", "created": "Sun, 1 Oct 2006 19:47:06 GMT" }, { "version": "v2", "created": "Fri, 20 Oct 2006 12:13:01 GMT" }, { "version": "v3", "created": "Thu, 1 Feb 2007 19:26:54 GMT" }, { "version": "v4", "created": "Sat, 16 Jun 2007 17:28:06 GMT" } ]
2007-06-16T00:00:00
[ [ "Alicki", "Robert", "" ] ]
quant-ph/0610009
Kazuyuki Fujii
Kazuyuki Fujii (Yokohama City University) and Tatsuo Suzuki (Waseda University)
On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)
Latex ; 11 pages ; 1 figure ; minor changes. To appear in International Journal of Geometric Methods in Modern Physics (vol.4, no.5 or 6), 2007
Int.J.Geom.Meth.Mod.Phys.4:897-905,2007
10.1142/S0219887807002430
null
quant-ph hep-th math-ph math.MP
null
A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the {\bf first nontrivial example} on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.
[ { "version": "v1", "created": "Mon, 2 Oct 2006 01:00:43 GMT" }, { "version": "v2", "created": "Tue, 24 Oct 2006 02:16:18 GMT" }, { "version": "v3", "created": "Wed, 18 Jul 2007 23:22:50 GMT" } ]
2008-11-26T00:00:00
[ [ "Fujii", "Kazuyuki", "", "Yokohama City University" ], [ "Suzuki", "Tatsuo", "", "Waseda\n University" ] ]
quant-ph/0610010
Neil Budko
Neil V. Budko and Alexander B. Samokhin
Essential state of the electromagnetic field and the double-slit experiment
4 pages
null
null
null
quant-ph
null
A new class of generalized solutions related to the essential spectrum of linear Maxwell's equations is presented. The essential modes are given in terms of normalized singular Weyl's sequences, whose square represents Dirac's delta functions in spatial and angular frequency domains. The action integral associated with essential modes is well-defined. We claim that these modes represent the collapsed state of the electromagnetic field and, with some additional assumptions on the conservation of action, are suitable for describing the double-slit experiment in accordance with the orthodox point of view.
[ { "version": "v1", "created": "Mon, 2 Oct 2006 10:27:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Budko", "Neil V.", "" ], [ "Samokhin", "Alexander B.", "" ] ]
quant-ph/0610011
Marius Grigorescu
M. Grigorescu
Variational Principle for Mixed Classical-Quantum Systems
16 pages, LaTex; added Figure 2 and Figure 3
Can. J. Phys. 85 (2007) 1023-1034
10.1139/P07-107
null
quant-ph cond-mat.stat-mech gr-qc
null
An extended variational principle providing the equations of motion for a system consisting of interacting classical, quasiclassical and quantum components is presented, and applied to the model of bilinear coupling. The relevant dynamical variables are expressed in the form of a quantum state vector which includes the action of the classical subsystem in its phase factor. It is shown that the statistical ensemble of Brownian state vectors for a quantum particle in a classical thermal environment can be described by a density matrix evolving according to a nonlinear quantum Fokker-Planck equation. Exact solutions of this equation are obtained for a two-level system in the limit of high temperatures, considering both stationary and nonstationary initial states. A treatment of the common time shared by the quantum system and its classical environment, as a collective variable rather than as a parameter, is presented in the Appendix.
[ { "version": "v1", "created": "Mon, 2 Oct 2006 17:34:31 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 10:45:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Grigorescu", "M.", "" ] ]
quant-ph/0610012
Alexei Taichenachev
A.V. Taichenachev and V.I. Yudin
CPT-like states in an ensemble of interacting fermions. On the possibility of new mechanism of superconductivity
Revtex 5 pages, including 1 figure; v2 references added and typos corrected
null
null
null
quant-ph cond-mat.str-el cond-mat.supr-con physics.atom-ph physics.optics
null
Using the standard Hamiltonian of the BCS theory, we show that in an ensemble of interacting fermions there exists a coherent state $|NC>$, which nullifies the Hamiltonian of the interparticle interaction. This state has an analogy with the well-known in quantum optics coherent population trapping effect (CPT). A possible application of such CPT-like states in the superconductivity theory is discussed.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 05:38:31 GMT" }, { "version": "v2", "created": "Tue, 10 Oct 2006 12:14:52 GMT" } ]
2016-09-08T00:00:00
[ [ "Taichenachev", "A. V.", "" ], [ "Yudin", "V. I.", "" ] ]
quant-ph/0610013
Yoshifumi Inui
Yoshifumi Inui
Quantum Property Testing for Solvable Groups
null
null
null
null
quant-ph
null
Property testing has been extensively studied and its target is to determine whether a given object satisfies a certain property or it is far from the property. In this paper, we construct an efficient quantum algorithm which tests if a given quantum oracle performs the group multiplication of a solvable group. Our work is strongly based on the efficient classical testing algorithm for Abelian groups proposed by Friedl, Ivanyos and Santha. Since every Abelian group is a solvable group, our result is in a sense a generalization of their result.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 10:19:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Inui", "Yoshifumi", "" ] ]
quant-ph/0610014
Minoru Horibe
Minoru Horibe, Akihisa Hayashi and Takaaki Hashimoto
Optimal estimation of an observable's expectation value for pure states for general measure of deviation
5 pages, 1 figure
null
null
null
quant-ph
null
We investigate the optimal estimation of quantum expectation value of a physical observable, which minimizes a mean error with respect to general measure of deviation, when a finite number of copies of a pure state are prepared. If pure sates are uniformly distributed, the minimum value of mean error for any measure of deviation is achieved by projective measurement on each copy.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 10:42:41 GMT" } ]
2007-05-23T00:00:00
[ [ "Horibe", "Minoru", "" ], [ "Hayashi", "Akihisa", "" ], [ "Hashimoto", "Takaaki", "" ] ]
quant-ph/0610015
Zhiliang Yuan
Z. L. Yuan, A. W. Sharpe, and A. J. Shields
Unconditionally secure one-way quantum key distribution using decoy pulses
10 pages, 5 figures
Appl. Phys. Lett. 90, 011118(2007)
10.1063/1.2752766
null
quant-ph
null
We report here a complete experimental realization of one-way decoy-pulse quantum key distribution, demonstrating an unconditionally secure key rate of 5.51 kbps for a 25.3 km fibre length. This is two orders of magnitudes higher than the value that can be obtained with a non-decoy system. We introduce also a simple test for detecting the photon number splitting attack and highlight that it is essential for the security of the technique to fully characterize the source and detectors used.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 11:20:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Yuan", "Z. L.", "" ], [ "Sharpe", "A. W.", "" ], [ "Shields", "A. J.", "" ] ]
quant-ph/0610016
Thierry Dauxois
S\'ebastien Paulin (Phys-ENS), Angel Alastuey (Phys-ENS), Thierry Dauxois (Phys-ENS)
Analysis of path integrals at low temperature : Box formula, occupation time and ergodic approximation
null
Journal of Statistical Physics 128, 1391-1414 (2007)
10.1007/s10955-007-9346-5
null
quant-ph cond-mat.stat-mech
null
We study the low temperature behaviour of path integrals for a simple one-dimensional model. Starting from the Feynman-Kac formula, we derive a new functional representation of the density matrix at finite temperature, in terms of the occupation times of Brownian motions constrained to stay within boxes with finite sizes. From that representation, we infer a kind of ergodic approximation, which only involves double ordinary integrals. As shown by its applications to different confining potentials, the ergodic approximation turns out to be quite efficient, especially in the low-temperature regime where other usual approximations fail.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 13:45:40 GMT" } ]
2016-08-16T00:00:00
[ [ "Paulin", "Sébastien", "", "Phys-ENS" ], [ "Alastuey", "Angel", "", "Phys-ENS" ], [ "Dauxois", "Thierry", "", "Phys-ENS" ] ]
quant-ph/0610017
Gerardo Paz Silva
Gerardo A. Paz-Silva, John H. Reina
A pairwise additive strategy for quantifying multipartite entanglement
4 pages, new version contains corrected typos. Title changed, proofs added, new results reported. Additivity revisited
null
null
null
quant-ph
null
Based on the idea of measuring the factorizability of a given density matrix, we propose a pairwise analysis strategy for quantifying and understanding multipartite entanglement. The methodology proves very effective as it immediately guarantees, in addition to the usual entanglement properties, additivity and strong super additivity. We give a specific set of quantities that fulfill the protocol and which, according to our numerical calculations, make the entanglement measure an LOCC non-increasing function. The strategy allows a redefinition of the structural concept of global entanglement.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 17:22:29 GMT" }, { "version": "v2", "created": "Sat, 7 Oct 2006 01:27:26 GMT" }, { "version": "v3", "created": "Tue, 17 Oct 2006 19:12:52 GMT" }, { "version": "v4", "created": "Wed, 22 Nov 2006 14:25:53 GMT" }, { "version": "v5", "created": "Sat, 3 Feb 2007 01:12:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Paz-Silva", "Gerardo A.", "" ], [ "Reina", "John H.", "" ] ]
quant-ph/0610018
Daniel Burgarth
D. Burgarth, V. Giovannetti, S. Bose
Optimal quantum chain communication by end gates
6 pages, 4 figures; improved version includes discussion on finitely many gate applications
Phys. Rev. A 75, 062327 (2007)
10.1103/PhysRevA.75.062327
null
quant-ph
null
The scalability of solid state quantum computation relies on the ability of connecting the qubits to the macroscopic world. Quantum chains can be used as quantum wires to keep regions of external control at a distance. However even in the absence of external noise their transfer fidelity is too low to assure reliable connections. We propose a method of optimizing the fidelity by minimal usage of the available resources, consisting of applying a suitable sequence of two-qubit gates at the end of the chain. Our scheme allows also the preparation of states in the first excitation sector as well as cooling.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 16:31:33 GMT" }, { "version": "v2", "created": "Tue, 3 Apr 2007 07:57:17 GMT" }, { "version": "v3", "created": "Wed, 23 May 2007 17:10:39 GMT" } ]
2007-06-22T00:00:00
[ [ "Burgarth", "D.", "" ], [ "Giovannetti", "V.", "" ], [ "Bose", "S.", "" ] ]
quant-ph/0610019
Gilles Nogues
Thomas Nirrengarten (LKB - Lhomond), Angie Qarry (LKB - Lhomond), C\'edric Roux (LKB - Lhomond), Andreas Emmert (LKB - Lhomond), Gilles Nogues (LKB - Lhomond), Michel Brune (LKB - Lhomond), Jean-Michel Raimond (LKB - Lhomond), Serge Haroche (LKB - Lhomond, CDF)
Realization of a superconducting atom chip
Submitted to Phys. Rev. Lett
Physical review letters 97 (17/11/2006) 200405
10.1103/PhysRevLett.97.200405
null
quant-ph
null
We have trapped rubidium atoms in the magnetic field produced by a superconducting atom chip operated at liquid Helium temperatures. Up to $8.2\cdot 10^5$ atoms are held in a Ioffe-Pritchard trap at a distance of 440 $\mu$m from the chip surface, with a temperature of 40 $\mu$K. The trap lifetime reaches 115 s at low atomic densities. These results open the way to the exploration of atom--surface interactions and coherent atomic transport in a superconducting environment, whose properties are radically different from normal metals at room temperature.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 20:17:24 GMT" }, { "version": "v2", "created": "Mon, 9 Oct 2006 12:08:45 GMT" } ]
2016-08-16T00:00:00
[ [ "Nirrengarten", "Thomas", "", "LKB - Lhomond" ], [ "Qarry", "Angie", "", "LKB - Lhomond" ], [ "Roux", "Cédric", "", "LKB - Lhomond" ], [ "Emmert", "Andreas", "", "LKB - Lhomond" ], [ "Nogues", "Gilles", "", "LKB - Lhomond" ], [ "Brune", "Michel", "", "LKB - Lhomond" ], [ "Raimond", "Jean-Michel", "", "LKB -\n Lhomond" ], [ "Haroche", "Serge", "", "LKB - Lhomond, CDF" ] ]
quant-ph/0610020
Viswanath Ramakrishna
M. C. Tseng, Hong Zhou and V. Ramakrishna
Parametrizations of Positive Matrices With Applications
Submitted for publication to the refereed book ``Mathematics of Quantum Computation and Technology", and is dedicated to the memory of Professor Tiberiu Constantinescu
null
null
null
quant-ph
null
This paper reviews some characterizations of positive matrices and discusses which lead to useful parametrizations. It is argued that one of them, which we dub the Schur-Constantinescu parametrization is particularly useful. Two new applications of it are given. One shows all block-Toeplitz states are PPT. The other application is to relaxation rates.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 21:16:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Tseng", "M. C.", "" ], [ "Zhou", "Hong", "" ], [ "Ramakrishna", "V.", "" ] ]
quant-ph/0610021
Viswanath Ramakrishna
M. C. Tseng and V. Ramakrishna
Dilation Theoretic Parametrizations of Positive Matrices with Applications to Quantum Information
Submitted to the Tiberiu Constantinescu Memorial Volume
null
null
null
quant-ph
null
This paper, dedicated to the memory of late Professor Tiberiu Constantinescu, discusses two parametrizations of positive matrices. The first, called the Schur-Constantinescu parametrization, is used to construct several examples of separable states (e.g., Hankel states). The second, called the Jacobi parametrization, is used to present an alternative to the Bloch sphere representation of qubits.
[ { "version": "v1", "created": "Tue, 3 Oct 2006 21:28:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Tseng", "M. C.", "" ], [ "Ramakrishna", "V.", "" ] ]
quant-ph/0610022
Gour Pati
G.S. Pati, M. Salit, K. Salit, and M.S. Shahriar
Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor
11 Pages, 2 figures
null
10.1103/PhysRevLett.99.133601
null
quant-ph
null
Recently, the design of a white-light-cavity has been proposed using negative dispersion in an intra-cavity medium to make the cavity resonate over a large range of frequencies and still maintain a high cavity build-up. This paper presents the demonstration of this effect in a free-space cavity. The negative dispersion of the intra-cavity medium is caused by bi-frequency Raman gain in an atomic vapor cell. A significantly broad cavity response over a bandwidth greater than 20 MHz has been observed. The experimental results agree well with the theoretical model, taking into account effects of residual absorption. A key application of this device would be in enhancing the sensitivity-bandwidth product of the next generation gravitational wave detectors that make use of the so-called signal-recycling mirror.
[ { "version": "v1", "created": "Wed, 4 Oct 2006 06:23:46 GMT" }, { "version": "v2", "created": "Sun, 8 Oct 2006 19:07:56 GMT" }, { "version": "v3", "created": "Tue, 24 Oct 2006 22:53:54 GMT" }, { "version": "v4", "created": "Mon, 18 Dec 2006 23:39:42 GMT" }, { "version": "v5", "created": "Wed, 21 Feb 2007 18:29:52 GMT" }, { "version": "v6", "created": "Mon, 11 Jun 2007 22:54:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Pati", "G. S.", "" ], [ "Salit", "M.", "" ], [ "Salit", "K.", "" ], [ "Shahriar", "M. S.", "" ] ]
quant-ph/0610023
Gour Pati
G.S. Pati, M. Salit, K. Salit, and M.S. Shahriar
Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator
14 Pages, 4 figures
null
null
null
quant-ph
null
We show that an intra-cavity medium with normal dispersion reduces the sensitivity of the cavity resonance frequency to a change in its length by a factor inversely proportional to the group index. Since the group index in an atomic medium can be very large, this effect can help in constructing highly frequency-stable cavities for various potential applications without taking additional measures for mechanical stability. The results also establish indirectly the opposite effect of enhanced sensitivity that can be realized for a negative dispersion corresponding to a group index close to a null value. This enhancement in turn can be employed to increase significantly the sensitivity of a ring laser gyroscope.
[ { "version": "v1", "created": "Wed, 4 Oct 2006 06:29:11 GMT" }, { "version": "v2", "created": "Tue, 24 Oct 2006 22:49:09 GMT" }, { "version": "v3", "created": "Mon, 18 Dec 2006 23:36:38 GMT" }, { "version": "v4", "created": "Wed, 21 Feb 2007 18:34:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Pati", "G. S.", "" ], [ "Salit", "M.", "" ], [ "Salit", "K.", "" ], [ "Shahriar", "M. S.", "" ] ]
quant-ph/0610024
Hector Bombin
H. Bombin, M.A. Martin-Delgado
Topological Computation without Braiding
revtex4, 4 pages, 4 figures
Phys.Rev.Lett.98:160502,2007
10.1103/PhysRevLett.98.160502
null
quant-ph cond-mat.str-el hep-th
null
We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In particular, we show how this can be achieved using brane-net condensates in 3-colexes. The universal set of gates is implemented without selective addressing of physical qubits and, being fully topologically protected, it does not rely on quasiparticle excitations or their braiding.
[ { "version": "v1", "created": "Wed, 4 Oct 2006 09:19:24 GMT" }, { "version": "v2", "created": "Thu, 29 Mar 2007 14:36:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Bombin", "H.", "" ], [ "Martin-Delgado", "M. A.", "" ] ]
quant-ph/0610025
Sandu Popescu
Sandu Popescu
KLM quantum computation as a measurement based computation
4 pages 3 figures
null
10.1103/PhysRevLett.99.250501
null
quant-ph
null
We show that the Knill Laflamme Milburn method of quantum computation with linear optics gates can be interpreted as a one-way, measurement based quantum computation of the type introduced by Briegel and Rausendorf. We also show that the permanent state of n n-dimensional systems is a universal state for quantum computation.
[ { "version": "v1", "created": "Wed, 4 Oct 2006 13:50:02 GMT" } ]
2013-05-29T00:00:00
[ [ "Popescu", "Sandu", "" ] ]
quant-ph/0610026
Paulo Maia Neto
Robson B. Rodrigues, Paulo A. Maia Neto, A. Lambrecht and S. Reynaud
Vacuum induced torque between corrugated metallic plates
7 pages, 4 figures, to appear in Europhysics Letters. Technical problem with eps file for figure 4 was fixed
Europhys.Lett.76:822-828,2006
10.1209/epl/i2006-10340-1
null
quant-ph hep-th
null
We study the torque arising between two corrugated metallic plates due to the interaction with electromagnetic vacuum. This Casimir torque can be measured with torsion pendulum techniques for separation distances as large as 1$\mu$m. It allows one to probe the nontrivial geometry dependence of the Casimir energy in a configuration which can be evaluated theoretically with accuracy. In the optimal experimental configuration, the commonly used proximity force approximation turns out to overestimate the torque by a factor 2 or larger.
[ { "version": "v1", "created": "Wed, 4 Oct 2006 17:28:47 GMT" }, { "version": "v2", "created": "Wed, 4 Oct 2006 20:32:24 GMT" }, { "version": "v3", "created": "Tue, 10 Oct 2006 19:37:26 GMT" } ]
2010-12-17T00:00:00
[ [ "Rodrigues", "Robson B.", "" ], [ "Neto", "Paulo A. Maia", "" ], [ "Lambrecht", "A.", "" ], [ "Reynaud", "S.", "" ] ]