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quant-ph/0605242
Hao Fu
Hao Fu, P. R. Berman
Microscopic Theory of the Photon Recoil of an Atom in a Dielectric
15 pages, 2 figures. Several typos and one reference are corrected
null
null
null
quant-ph
null
An atom recoils when it undergoes spontaneous decay. In this paper we present a microscopic calculation of the recoil of a source atom imbedded in a dielectric medium. We find that the source atom recoils with the canonical photon momentum $n\hbar k_{0,}$ where $n$ is the index of refraction and $\hbar k_{0}$ is the photon momentum calculated at the source atom atomic frequency $\omega_{0}$. We also show explicitly how the energy is conserved with the photon inside the medium.
[ { "version": "v1", "created": "Mon, 29 May 2006 13:44:41 GMT" }, { "version": "v2", "created": "Fri, 27 Oct 2006 20:12:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Fu", "Hao", "" ], [ "Berman", "P. R.", "" ] ]
quant-ph/0605243
Jeffrey Bub
Jeffrey Bub
Quantum computation from a quantum logical perspective
17 pages, no figures. The title has been changed, misprints and minor errors have been corrected, and some clarifying remarks have been added
null
null
null
quant-ph
null
It is well-known that Shor's factorization algorithm, Simon's period-finding algorithm, and Deutsch's original XOR algorithm can all be formulated as solutions to a hidden subgroup problem. Here the salient features of the information-processing in the three algorithms are presented from a different perspective, in terms of the way in which the algorithms exploit the non-Boolean quantum logic represented by the projective geometry of Hilbert space. From this quantum logical perspective, the XOR algorithm appears directly as a special case of Simon's algorithm, and all three algorithms can be seen as exploiting the non-Boolean logic represented by the subspace structure of Hilbert space in a similar way. Essentially, a global property of a function (such as a period, or a disjunctive property) is encoded as a subspace in Hilbert space representing a quantum proposition, which can then be efficiently distinguished from alternative propositions, corresponding to alternative global properties, by a measurement (or sequence of measurements) that identifies the target proposition as the proposition represented by the subspace containing the final state produced by the algorithm.
[ { "version": "v1", "created": "Mon, 29 May 2006 15:27:07 GMT" }, { "version": "v2", "created": "Sat, 28 Oct 2006 22:39:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Bub", "Jeffrey", "" ] ]
quant-ph/0605244
Michael Garrett
Michael C. Garrett and David L. Feder
Perfect Cluster States from Imperfect Global Entanglement
16 pages IOP style, 4 EPS figures; major revisions to the strategy for growth of cluster states, 2 new figures, several new references; accepted for publication in NJP
New J. Phys. 10 (2008) 033009
10.1088/1367-2630/10/3/033009
null
quant-ph cond-mat.other
null
The cluster state, the highly entangled state that is the central resource for one-way quantum computing, can be efficiently generated in a variety of physical implementations via global nearest-neighbor interactions. In practice, a systematic phase error is expected in the entangling process, resulting in imperfect cluster states. We present a stochastic measurement technique to generate large perfect cluster states and other graph states with high probability from imperfect cluster states even when their initial entanglement is weak.
[ { "version": "v1", "created": "Mon, 29 May 2006 16:27:04 GMT" }, { "version": "v2", "created": "Fri, 22 Jun 2007 17:34:16 GMT" }, { "version": "v3", "created": "Wed, 13 Feb 2008 23:19:15 GMT" } ]
2008-03-10T00:00:00
[ [ "Garrett", "Michael C.", "" ], [ "Feder", "David L.", "" ] ]
quant-ph/0605245
Chuanwei Zhang
Chuanwei Zhang, S. L. Rolston, and S. Das Sarma
Manipulation of Single Neutral Atoms in Optical Lattices
5 pages, 3 figures
Phys. Rev. A. 74, 042316 (2006)
10.1103/PhysRevA.74.042316
null
quant-ph cond-mat.soft
null
We analyze a scheme to manipulate quantum states of neutral atoms at individual sites of optical lattices using focused laser beams. Spatial distributions of focused laser intensities induce position-dependent energy shifts of hyperfine states, which, combined with microwave radiation, allow selective manipulation of quantum states of individual target atoms. We show that various errors in the manipulation process are suppressed below $10^{-4} $ with properly chosen microwave pulse sequences and laser parameters. A similar idea is also applied to measure quantum states of single atoms in optical lattices.
[ { "version": "v1", "created": "Mon, 29 May 2006 17:46:19 GMT" }, { "version": "v2", "created": "Tue, 18 Jul 2006 13:57:35 GMT" }, { "version": "v3", "created": "Wed, 25 Oct 2006 14:07:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Chuanwei", "" ], [ "Rolston", "S. L.", "" ], [ "Sarma", "S. Das", "" ] ]
quant-ph/0605246
Stefano Pironio
Antonio Acin, Serge Massar, Stefano Pironio
Efficient quantum key distribution secure against no-signalling eavesdroppers
11 pages, 2 color figures. v2: minor modifications, added references, added note on the relation to quant-ph/0606049
New J. Phys. 8, 126 (2006)
10.1088/1367-2630/8/8/126
null
quant-ph
null
By carrying out measurements on entangled states, two parties can generate a secret key which is secure not only against an eavesdropper bound by the laws of quantum mechanics, but also against a hypothetical "post-quantum" eavesdroppers limited by the no-signalling principle only. We introduce a family of quantum key distribution protocols of this type, which are more efficient than previous ones, both in terms of key rate and noise resistance. Interestingly, the best protocols involve large number of measurements. We show that in the absence of noise, these protocols can yield one secret bit per entanglement bit, implying that the key rates in the no-signalling post-quantum scenario are comparable to the key rates in usual quantum key distribution.
[ { "version": "v1", "created": "Tue, 30 May 2006 08:15:58 GMT" }, { "version": "v2", "created": "Thu, 3 Aug 2006 11:40:10 GMT" } ]
2007-10-22T00:00:00
[ [ "Acin", "Antonio", "" ], [ "Massar", "Serge", "" ], [ "Pironio", "Stefano", "" ] ]
quant-ph/0605247
Austin Lund
A. P. Lund, T. C. Ralph and P. van Loock
Non-Gaussian, Mixed Continuous-Variable Entangled States
null
null
null
null
quant-ph
null
We study a class of mixed non-Gaussian entangled states that, whilst closely related to Gaussian entangled states, none-the-less exhibit distinct properties previously only associated with more exotic, pure non-Gaussian states.
[ { "version": "v1", "created": "Tue, 30 May 2006 15:43:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Lund", "A. P.", "" ], [ "Ralph", "T. C.", "" ], [ "van Loock", "P.", "" ] ]
quant-ph/0605248
Diego Dalvit
D.A.R. Dalvit, F.D. Mazzitelli, and X. Orsi Millan
Dynamical Casimir effect for different geometries
12 pages, 3 figures, J. Phys. A Special Issue: Proceedings of QEFTX, Barcelona 5-9 Sept. 2005
J. Phys. A: Math. Gen. 39 (2006) 6261-6270
10.1088/0305-4470/39/21/S17
null
quant-ph
null
We consider the problem of motion-induced photon creation from quantum vacuum inside closed, perfectly conducting cavities with time-dependent geometries. These include one dimensional Fabry-Perrot resonators with Dirichlet or Neumann boundary conditions, three dimensional cylindrical waveguides, and a spherical shell. The number of Casimir TE, TM and TEM photons is computed. We also present a classical mechanical analogue of the one dimensional dynamical Casimir effect.
[ { "version": "v1", "created": "Tue, 30 May 2006 19:56:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Dalvit", "D. A. R.", "" ], [ "Mazzitelli", "F. D.", "" ], [ "Millan", "X. Orsi", "" ] ]
quant-ph/0605249
Maximilian Schlosshauer
Maximilian Schlosshauer
Classicality, the ensemble interpretation, and decoherence: Resolving the Hyperion dispute
5 pages, final published version
Found. Phys. 38, 796-803 (2008)
10.1007/s10701-008-9237-x
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze seemingly contradictory claims in the literature about the role played by decoherence in ensuring classical behavior for the chaotically tumbling satellite Hyperion. We show that the controversy is resolved once the very different assumptions underlying these claims are recognized. In doing so, we emphasize the distinct notions of the problem of classicality in the ensemble interpretation of quantum mechanics and in decoherence-based approaches that are aimed at addressing the measurement problem.
[ { "version": "v1", "created": "Wed, 31 May 2006 00:32:06 GMT" }, { "version": "v2", "created": "Thu, 24 Aug 2006 05:35:55 GMT" }, { "version": "v3", "created": "Tue, 29 Jan 2008 23:25:21 GMT" }, { "version": "v4", "created": "Tue, 30 Sep 2008 07:15:41 GMT" } ]
2008-09-30T00:00:00
[ [ "Schlosshauer", "Maximilian", "" ] ]
quant-ph/0605250
Florian Mintert
Florian Mintert, Andreas Buchleitner
An observable entanglement measure for unknown mixed quantum states
in press in PRL
null
10.1103/PhysRevLett.98.140505
null
quant-ph
null
We show how an unknown mixed quantum state's entanglement can be quantified by a suitable, local parity measurement on its two-fold copy.
[ { "version": "v1", "created": "Wed, 31 May 2006 02:41:11 GMT" }, { "version": "v2", "created": "Mon, 4 Sep 2006 19:10:38 GMT" }, { "version": "v3", "created": "Fri, 23 Feb 2007 23:51:44 GMT" } ]
2015-06-26T00:00:00
[ [ "Mintert", "Florian", "" ], [ "Buchleitner", "Andreas", "" ] ]
quant-ph/0605251
Valerio Cappellini Dr.
Valerio Cappellini (1), Hans-Juergen Sommers (2) and Karol Zyczkowski (1 and 3) ((1) Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Warszawa, Poland, (2) Fachbereich Physik, Universitat Duisburg-Essen, Campus Duisburg, Duisburg, Germany, (3) Instytut Fizyki im. Smoluchowskiego, Uniwersytet Jagiellonski, Krakow, Poland)
Distribution of G-concurrence of random pure states
RevTeX4, 11 pages, 4 Encapsuled PostScript figures - Introduced new results, Section II and V have been significantly improved - To appear on PRA
Phys. Rev. A 74(6), 062322 (2006)
10.1103/PhysRevA.74.062322
null
quant-ph math-ph math.MP
null
Average entanglement of random pure states of an N x N composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entanglement monotone. Calculating higher moments of the determinant we characterize the probability distribution P(D). Similar results are obtained for the rescaled N-th root of the determinant, called G-concurrence. We show that in the limit $N\to\infty$ this quantity becomes concentrated at a single point G=1/e. The position of the concentration point changes if one consider an arbitrary N x K bipartite system, in the joint limit $N,K\to\infty$, K/N fixed.
[ { "version": "v1", "created": "Wed, 31 May 2006 16:26:33 GMT" }, { "version": "v2", "created": "Thu, 23 Nov 2006 14:11:13 GMT" } ]
2007-05-23T00:00:00
[ [ "Cappellini", "Valerio", "", "1 and 3" ], [ "Sommers", "Hans-Juergen", "", "1 and 3" ], [ "Zyczkowski", "Karol", "", "1 and 3" ] ]
quant-ph/0605252
Evgeny Shapiro
Evgeny A. Shapiro, Moshe Shapiro, Avi Pe'er, and Jun Ye
Photoassociation adiabatic passage of ultracold Rb atoms to form ultracold Rb_2 molecules
RevTex, 23 pages, 9 figures
Phys. Rev. A 75, 013405 (2007)
10.1103/PhysRevA.75.013405
null
quant-ph
null
We theoretically explore photoassociation by Adiabatic Passage of two colliding cold ^{85}Rb atoms in an atomic trap to form an ultracold Rb_2 molecule. We consider the incoherent thermal nature of the scattering process in a trap and show that coherent manipulations of the atomic ensemble, such as adiabatic passage, are feasible if performed within the coherence time window dictated by the temperature, which is relatively long for cold atoms. We show that a sequence of ~2*10^7 pulses of moderate intensities, each lasting ~750 ns, can photoassociate a large fraction of the atomic ensemble at temperature of 100 microkelvin and density of 10^{11} atoms/cm^3. Use of multiple pulse sequences makes it possible to populate the ground vibrational state. Employing spontaneous decay from a selected excited state, one can accumulate the molecules in a narrow distribution of vibrational states in the ground electronic potential. Alternatively, by removing the created molecules from the beam path between pulse sets, one can create a low-density ensemble of molecules in their ground ro-vibrational state.
[ { "version": "v1", "created": "Wed, 31 May 2006 19:07:32 GMT" }, { "version": "v2", "created": "Tue, 29 Aug 2006 22:38:09 GMT" }, { "version": "v3", "created": "Tue, 17 Oct 2006 20:39:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Shapiro", "Evgeny A.", "" ], [ "Shapiro", "Moshe", "" ], [ "Pe'er", "Avi", "" ], [ "Ye", "Jun", "" ] ]
quant-ph/0605253
David P. Rideout
Matthew Barnett, Fay Dowker and David Rideout
Popescu-Rohrlich Boxes in Quantum Measure Theory
10 pages, 1 figure, LaTeX, acknowledgement added; Dedicated to Rafael Sorkin on the occasion of his 60th birthday
J. Phys. A: Math. Theor. 40 (2007) 7255-7264
10.1088/1751-8113/40/26/011
Imperial/TP/2006/DR/01
quant-ph
null
Two results are proved at the quantal level in Sorkin's hierarchy of measure theories. One is a strengthening of an existing bound on the correlations in the EPR-Bohm setup under the assumption that the probabilities admit a strongly positive joint quantal measure. It is also proved that any set of no-signalling probabilities, for two distant experimenters with a choice of two alternative experiments each and two possible outcomes per experiment, admits a joint quantal measure, though one that is not necessarily strongly positive.
[ { "version": "v1", "created": "Wed, 31 May 2006 16:56:55 GMT" }, { "version": "v2", "created": "Thu, 1 Jun 2006 19:43:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Barnett", "Matthew", "" ], [ "Dowker", "Fay", "" ], [ "Rideout", "David", "" ] ]
quant-ph/0605254
Luis Roa Oppliger
A. Krugel, L. Roa, and C. Saavedra
Quantum state stability against decoherence
null
null
null
null
quant-ph
null
We study the stability of the coherence of a state of a quantum system under the effect of an interaction with another quantum system at short time. We find an expression for evaluating the order of magnitude of the time scale for the onset of instability as a function of the initial state of both involved systems and of the sort of interaction between them. As an application we study the spin-boson interaction in the dispersive interaction regime, driven by a classical field. We find, for this model, that the behavior of the time scale for the onset of instability, with respect to the boson bath temperature, changes depending on the intensity of the classical field.
[ { "version": "v1", "created": "Wed, 31 May 2006 17:09:40 GMT" } ]
2007-05-23T00:00:00
[ [ "Krugel", "A.", "" ], [ "Roa", "L.", "" ], [ "Saavedra", "C.", "" ] ]
quant-ph/0606001
Shengchao Ding
Shengchao Ding
Comment on "Quantum Strategy Without Entanglement"
1.3 pages, 2 figures; minor mistakes corrected
null
null
null
quant-ph
null
We make remarks on the paper of Du et al (quant-ph/0011078) by pointing out that the quantum strategy proposed by the paper is trivial to the card game and proposing a simple classical strategy to make the game in classical sense fair too.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 03:52:07 GMT" }, { "version": "v2", "created": "Fri, 15 Sep 2006 05:30:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Ding", "Shengchao", "" ] ]
quant-ph/0606002
Cosmo Lupo
Paolo Aniello, Cosmo Lupo, Mario Napolitano, and Matteo G.A. Paris
Engineering multiphoton states for linear optics computation
null
Eur.Phys.J. D41 (2007) 579-587
10.1140/epjd/e2006-00259-y
null
quant-ph
null
Transformations achievable by linear optical components allow to generate the whole unitary group only when restricted to the one-photon subspace of a multimode Fock space. In this paper, we address the more general problem of encoding quantum information by multiphoton states, and elaborating it via ancillary extensions, linear optical passive devices and photodetection. Our scheme stems in a natural way from the mathematical structures underlying the physics of linear optical passive devices. In particular, we analyze an economical procedure for mapping a fiducial 2-photon 2-mode state into an arbitrary 2-photon 2-mode state using ancillary resources and linear optical passive N-ports assisted by post-selection. We found that adding a single ancilla mode is enough to generate any desired target state. The effect of imperfect photodetection in post-selection is considered and a simple trade-off between success probability and fidelity is derived.
[ { "version": "v1", "created": "Wed, 31 May 2006 20:46:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Aniello", "Paolo", "" ], [ "Lupo", "Cosmo", "" ], [ "Napolitano", "Mario", "" ], [ "Paris", "Matteo G. A.", "" ] ]
quant-ph/0606003
Daniel Braun
Daniel Braun
Indirect decoherence in optical lattices and cold gases
12 pages, 1 figure
Eur. Phys. J D 42, 103 (2007)
10.1140/epjd/e2006-00272-2
null
quant-ph
null
The interaction of two--level atoms with a common heat bath leads to an effective interaction between the atoms, such that with time the internal degrees of the atoms become correlated or even entangled. If part of the atoms remain unobserved this creates additional indirect decoherence for the selected atoms, on top of the direct decoherence due to the interaction with the heat bath. I show that indirect decoherence can drastically increase and even dominate the decoherence for sufficiently large times. I investigate indirect decoherence through thermal black body radiation quantitatively for atoms trapped at regular positions in an optical lattice as well as for atoms at random positions in a cold gas, and show how indirect coherence can be controlled or even suppressed through experimentally accessible parameters.
[ { "version": "v1", "created": "Wed, 31 May 2006 21:13:06 GMT" } ]
2015-06-26T00:00:00
[ [ "Braun", "Daniel", "" ] ]
quant-ph/0606004
Enrique Solano
M. Franca Santos, G. Giedke, and E. Solano
Noise-Free Measurement of Harmonic Oscillators with Instantaneous Interactions
4 pages, no figure, published in Physical Review Letters
Phys. Rev. Lett. 98, 020401 (2007)
10.1103/PhysRevLett.98.020401
null
quant-ph
null
We present a method of measuring the quantum state of a harmonic oscillator through instantaneous probe-system selective interactions of the Jaynes-Cummings type. We prove that this scheme is robust to general decoherence mechanisms, allowing the possibility of measuring fast-decaying systems in the weak-coupling regime. This method could be applied to different setups: motional states of trapped ions, microwave fields in cavity/circuit QED, and even intra-cavity optical fields.
[ { "version": "v1", "created": "Wed, 31 May 2006 22:07:40 GMT" }, { "version": "v2", "created": "Mon, 8 Jan 2007 18:27:36 GMT" } ]
2015-06-26T00:00:00
[ [ "Santos", "M. Franca", "" ], [ "Giedke", "G.", "" ], [ "Solano", "E.", "" ] ]
quant-ph/0606005
Yong Zhang
Yong Zhang (Chern Inst. Math.), Louis H. Kauffman (Illinois U. Chicago) and Reinhard F. Werner (TU. Braunschweig)
Permutation and Its Partial Transpose
42 pages, 22 figures, latex
Int.J.Quant.Inf.5:469-507,2007
null
null
quant-ph hep-th math-ph math.MP
null
Permutation and its partial transpose play important roles in quantum information theory. The Werner state is recognized as a rational solution of the Yang--Baxter equation, and the isotropic state with an adjustable parameter is found to form a braid representation. The set of permutation's partial transposes is an algebra called the "PPT" algebra which guides the construction of multipartite symmetric states. The virtual knot theory having permutation as a virtual crossing provides a topological language describing quantum computation having permutation as a swap gate. In this paper, permutation's partial transpose is identified with an idempotent of the Temperley--Lieb algebra. The algebra generated by permutation and its partial transpose is found to be the Brauer algebra. The linear combinations of identity, permutation and its partial transpose can form various projectors describing tangles; braid representations; virtual braid representations underlying common solutions of the braid relation and Yang--Baxter equations; and virtual Temperley--Lieb algebra which is articulated from the graphical viewpoint. They lead to our drawing a picture called the "ABPK" diagram describing knot theory in terms of its corresponding algebra, braid group and polynomial invariant. The paper also identifies nontrivial unitary braid representations with universal quantum gates, and derives a Hamiltonian to determine the evolution of a universal quantum gate, and further computes the Markov trace in terms of a universal quantum gate for a link invariant to detect linking numbers.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 02:51:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Zhang", "Yong", "", "Chern Inst. Math." ], [ "Kauffman", "Louis H.", "", "Illinois U.\n Chicago" ], [ "Werner", "Reinhard F.", "", "TU. Braunschweig" ] ]
quant-ph/0606006
Alberto Ventura
Francesco Cannata and Alberto Ventura
Scattering by PT-symmetric non-local potentials
11 pages
Czech. J. Phys. 56, 943 (2006)
10.1007/s10582-006-0390-1
null
quant-ph
null
A general formalism is worked out for the description of one-dimensional scattering by non-local separable potentials and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the Hamiltonian. The case of a solvable Yamaguchi potential is discussed in detail.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 05:52:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Cannata", "Francesco", "" ], [ "Ventura", "Alberto", "" ] ]
quant-ph/0606007
Fu-Guo Deng
Xi-Han Li, Fu-Guo Deng, Chun-Yan Li, Yu-Jie Liang, Ping Zhou and Hong-Yu Zhou
Deterministic secure quantum communication without maximally entangled states
6 pages, no figure
Journal of the Korean Physical Society 49 (2006) 1354-1359
null
null
quant-ph
null
Two deterministic secure quantum communication schemes are proposed, one based on pure entangled states and the other on $d$-dimensional single-photon states. In these two schemes, only single-photon measurements are required for the two authorized users, which makes the schemes more convenient than others in practical applications. Although each qubit can be read out after a transmission of additional classical bit, it is unnecessary for the users to transmit qubits double the distance between the sender and the receiver, which will increase their bit rate and their security. The parties use decoy photons to check eavesdropping efficiently. The obvious advantage in the first scheme is that the pure entangled source is feasible with present techniques.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 07:27:55 GMT" }, { "version": "v2", "created": "Wed, 16 Aug 2006 08:35:49 GMT" }, { "version": "v3", "created": "Mon, 16 Oct 2006 14:53:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Li", "Xi-Han", "" ], [ "Deng", "Fu-Guo", "" ], [ "Li", "Chun-Yan", "" ], [ "Liang", "Yu-Jie", "" ], [ "Zhou", "Ping", "" ], [ "Zhou", "Hong-Yu", "" ] ]
quant-ph/0606008
Fu-Guo Deng
Fu-Guo Deng, Xi-Han Li, Chun-Yan Li, Ping Zhou and Hong-Yu Zhou
Economical Quantum Secure Direct Communication Network with Single Photons
6 pages, 3 figures
Chinese Physics 16 (12), 3553-3559 (2007)
10.1088/1009-1963/16/12/001
null
quant-ph
null
A scheme for quantum secure direct communication (QSDC) network is proposed with a sequence of polarized single photons. The single photons are prepared originally in the same state |0> by the servers on the network, which will reduce the difficulty for the legitimate users to check eavesdropping largely. The users code the information on the single photons with two unitary operations which do not change their measuring bases. Some decoy photons, which are produced by operating the sample photons with a Hadamard, are used for preventing a potentially dishonest server from eavesdropping the quantum lines freely. This scheme is an economical one as it is the easiest way for QSDC network communication securely.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 07:36:34 GMT" }, { "version": "v2", "created": "Thu, 13 Dec 2007 10:10:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Deng", "Fu-Guo", "" ], [ "Li", "Xi-Han", "" ], [ "Li", "Chun-Yan", "" ], [ "Zhou", "Ping", "" ], [ "Zhou", "Hong-Yu", "" ] ]
quant-ph/0606009
Yatendra Jain
Yatendra S. Jain
Untouched aspects of the wave mechanics of a particle in one dimensional box
8 pages no figure
null
null
null
quant-ph
null
Wave mechanics of a particle in 1-D box (size $= d$) is critically analyzed to reveal its untouched aspects. When the particle rests in its ground state, its zero-point force ($F_o$) produces non-zero strain by modifying the box size from $d$ to $d' = d + \Delta d$ in all practical situations where the force ($F_a$) restoring $d$ is not infinitely strong. Assuming that $F_a$ originates from a potential $\propto x^2$ ($x$ being a small change in $d$), we find that: (i) the particle and strained box assume a mutually bound state (under the equilibrium between $F_o$ and $F_a$) with binding energy $\Delta{E} = -\epsilon_o'\Delta{d}/d'$ (with $\epsilon_o' = h^2/8md'^2$ being the ground state energy of the particle in the strained box), (ii) the box size oscillates around $d'$ when the said equilibrium is disturbed, (iii) an exchange of energy between the particle and the strained box occurs during such oscillations, and (iv) the particle, having collisional motion in its excited states, assumes collisionless motion in its ground state. These aspects have desired experimental support and proven relevance for understanding the physics of widely different systems such as quantum dots, quantum wires, trapped single particle/ion, clusters of particles, superconductors, superfluids, {\it etc.} It is emphasized that the physics of such a system in its low energy states can be truly revealed if the theory incorporates $F_o$ and related aspects.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 08:39:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Jain", "Yatendra S.", "" ] ]
quant-ph/0606010
Marco Barbieri
M. Barbieri, C. Cinelli, F. De Martini, P. Mataloni
Generation of polarization entangled photon pairs by a single crystal interferometric source pumped by femtosecond laser pulses
null
null
10.1134/S1054660X06100069
null
quant-ph
null
Photon pairs, highly entangled in polarization have been generated under femtosecond laser pulse excitation by a type I crystal source, operating in a single arm interferometric scheme. The relevant effects of temporal walk-off existing in these conditions between the ordinary and extraordinary photons were experimentally investigated. By introducing a suitable temporal compensation between the two orthogonal polarization components highly entangled pulsed states were obtained.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 09:46:53 GMT" }, { "version": "v2", "created": "Tue, 6 Jun 2006 09:58:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Barbieri", "M.", "" ], [ "Cinelli", "C.", "" ], [ "De Martini", "F.", "" ], [ "Mataloni", "P.", "" ] ]
quant-ph/0606011
N. L. Harshman
N. L. Harshman
Dynamical Entanglement in Non-Relativistic, Elastic Scattering
4 pages, no figs., submission to conf. proc. of Quantum 2006, III Workshop ad memoriam of Carlo Novero
Int. J. Quant. Inf. 5 (2007) 273-278
null
null
quant-ph
null
This article considers dynamical entanglement in non-relativistic particle scattering. Three questions are explored: what kinds of entanglement occur in this system, how do global symmetries constrain entanglement, and how do the boundary conditions of scattering affect dynamical entanglement? First, a simple model of scattering spin systems is considered, then the full system is discussed.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 09:49:40 GMT" } ]
2008-04-16T00:00:00
[ [ "Harshman", "N. L.", "" ] ]
quant-ph/0606012
Quesne Christiane
B. Bagchi, A. Banerjee, C. Quesne
PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach
8 pages, no figure, to appear in special issue of Czech. J. Phys
Czech.J.Phys.56:893-898,2006
10.1007/s10582-006-0385-y
ULB/229/CQ/06/3
quant-ph hep-th math-ph math.MP
null
To lowest order of perturbation theory we show that an equivalence can be established between a $\cal PT$-symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian $h$. An important feature of $h$ is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 12:52:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Bagchi", "B.", "" ], [ "Banerjee", "A.", "" ], [ "Quesne", "C.", "" ] ]
quant-ph/0606013
Mihai Macovei
M. Macovei, Z. Ficek, C. H. Keitel
Collective coherent population trapping in a thermal field
Accepted for publication in Phys. Rev. A
Phys. Rev. A 73, 063821 (2006)
10.1103/PhysRevA.73.063821
null
quant-ph
null
We analyzed the efficiency of coherent population trapping (CPT) in a superposition of the ground states of three-level atoms under the influence of the decoherence process induced by a broadband thermal field. We showed that in a single atom there is no perfect CPT when the atomic transitions are affected by the thermal field. The perfect CPT may occur when only one of the two atomic transitions is affected by the thermal field. In the case when both atomic transitions are affected by the thermal field, we demonstrated that regardless of the intensity of the thermal field the destructive effect on the CPT can be circumvented by the collective behavior of the atoms. An analytic expression was obtained for the populations of the upper atomic levels which can be considered as a measure of the level of thermal decoherence. The results show that the collective interaction between the atoms can significantly enhance the population trapping in that the population of the upper state decreases with increased number of atoms. The physical origin of this feature was explained by the semiclassical dressed atom model of the system. We introduced the concept of multiatom collective coherent population trapping by demonstrating the existence of collective (entangled) states whose storage capacity is larger than that of the equivalent states of independent atoms.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 15:11:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Macovei", "M.", "" ], [ "Ficek", "Z.", "" ], [ "Keitel", "C. H.", "" ] ]
quant-ph/0606014
Rom\`an R. Zapatrin
George Parfionov, Roman R. Zapatrin
How `hot' are mixed quantum states?
Contribution to Quantum 2006: III workshop ad memoriam of Carlo Novero: Advances in Foundations of Quantum Mechanics and Quantum Information with atoms and photons. 2-5 May 2006 - Turin, Italy
International Journal of Quantum Information (IJQI), Volume: 5, 311-317 (2007)
10.1142/S0219749907002803
null
quant-ph
null
Given a mixed quantum state $\rho$ of a qudit, we consider any observable $M$ as a kind of `thermometer' in the following sense. Given a source which emits pure states with these or those distributions, we select such distributions that the appropriate average value of the observable $M$ is equal to the average Tr$M\rho$ of $M$ in the stare $\rho$. Among those distributions we find the most typical one, namely, having the highest differential entropy. We call this distribution conditional Gibbs ensemble as it turns out to be a Gibbs distribution characterized by a temperature-like parameter $\beta$. The expressions establishing the liaisons between the density operator $\rho$ and its temperature parameter $\beta$ are provided. Within this approach, the uniform mixed state has the highest `temperature', which tends to zero as the state in question approaches to a pure state.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 16:44:19 GMT" } ]
2009-09-23T00:00:00
[ [ "Parfionov", "George", "" ], [ "Zapatrin", "Roman R.", "" ] ]
quant-ph/0606015
Zhaohui Wei
Zhaohui Wei, Zhengfeng Ji and Mingsheng Ying
Majorization in Quantum Adiabatic Algorithms
7 pages;1 figure
Phys. Rev. A 74, 042320(2006)
10.1103/PhysRevA.74.042320
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The majorization theory has been applied to analyze the mathematical structure of quantum algorithms. An empirical conclusion by numerical simulations obtained in the previous literature indicates that step-by-step majorization seems to appear universally in quantum adiabatic algorithms. In this paper, a rigorous analysis of the majorization arrow in a special class of quantum adiabatic algorithms is carried out. In particular, we prove that for any adiabatic algorithm of this class, step-by-step majorization of the ground state holds exactly. For the actual state, we show that step-by-step majorization holds approximately, and furthermore that the longer the running time of the algorithm, the better the approximation.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 16:52:11 GMT" }, { "version": "v2", "created": "Tue, 27 Jun 2006 16:43:10 GMT" }, { "version": "v3", "created": "Wed, 1 Sep 2010 02:47:13 GMT" } ]
2010-09-02T00:00:00
[ [ "Wei", "Zhaohui", "" ], [ "Ji", "Zhengfeng", "" ], [ "Ying", "Mingsheng", "" ] ]
quant-ph/0606016
Viv Kendon
Viv Kendon (U Leeds)
Decoherence in quantum walks - a review
52 pages, invited review, v2 & v3 updates to include significant work since first posted and corrections from comments received; some non-trivial typos fixed. Comments now limited to changes that can be applied at proof stage
Math. Struct. in Comp. Sci 17(6) pp 1169-1220 (2006)
10.1017/S0960129507006354
null
quant-ph
null
The development of quantum walks in the context of quantum computation, as generalisations of random walk techniques, led rapidly to several new quantum algorithms. These all follow unitary quantum evolution, apart from the final measurement. Since logical qubits in a quantum computer must be protected from decoherence by error correction, there is no need to consider decoherence at the level of algorithms. Nonetheless, enlarging the range of quantum dynamics to include non-unitary evolution provides a wider range of possibilities for tuning the properties of quantum walks. For example, small amounts of decoherence in a quantum walk on the line can produce more uniform spreading (a top-hat distribution), without losing the quantum speed up. This paper reviews the work on decoherence, and more generally on non-unitary evolution, in quantum walks and suggests what future questions might prove interesting to pursue in this area.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 17:01:23 GMT" }, { "version": "v2", "created": "Sat, 26 Aug 2006 22:09:19 GMT" }, { "version": "v3", "created": "Sun, 26 Nov 2006 00:18:05 GMT" } ]
2008-03-02T00:00:00
[ [ "Kendon", "Viv", "", "U Leeds" ] ]
quant-ph/0606017
Steven J. van Enk
S.J. van Enk
Can measuring entanglement be easy?
No
null
null
null
quant-ph
null
I raise some doubts concerning a protocol recently applied in an experiment (Walborn et al, Nature) to measure entanglement. The protocol is much simpler than other known entanglement-verification methods, but, I argue, needs assumptions (namely that the state generated is known and pure) that are too strong to be allowed and that are not justified in most experiments. An extension of the protocol suggested in quant-ph/0605250 is much harder to implement and still relies on assumptions not justified in entanglement-verification protocols, as demonstrated by an explicit example.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 17:48:18 GMT" } ]
2007-05-23T00:00:00
[ [ "van Enk", "S. J.", "" ] ]
quant-ph/0606018
Juergen Eschner
Matthias Schulz, Herbert Crepaz, Ferdinand Schmidt-Kaler, Juergen Eschner, Rainer Blatt
Transfer of trapped atoms between two optical tweezer potentials
null
null
10.1080/09500340600861740
null
quant-ph
null
Trapped, laser-cooled rubidium atoms are transferred between two strongly focused, horizontal, orthogonally intersecting laser beams. The transfer efficiency is studied as a function of the vertical distance between the beam axes. Optimum transfer is found when the distance equals the beam waist radius. Numerical simulations reproduce well the experimental results.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 18:34:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Schulz", "Matthias", "" ], [ "Crepaz", "Herbert", "" ], [ "Schmidt-Kaler", "Ferdinand", "" ], [ "Eschner", "Juergen", "" ], [ "Blatt", "Rainer", "" ] ]
quant-ph/0606019
William E. Baylis
W. E. Baylis, R. Cabrera, C. Rangan
Control and Representation of n-qubit Quantum Systems
4 pages, no figures, revision corrects a couple of minor errors
null
null
null
quant-ph
null
Just as any state of a single qubit or 2-level system can be obtained from any other state by a rotation operator parametrized by three real Euler angles, we show how any state of an n-qubit or 2^n-level system can be obtained from any other by a compact unitary transformation with 2^(n+1)-1 real angles, 2^n of which are azimuthal-like and the rest polar-like. The results follow from a modeling of the Hilbert space of n-qubits by a minimal left ideal of an associative algebra. This representation is expected to be useful in the design of new compact control techniques or more efficient algorithms in quantum computing.
[ { "version": "v1", "created": "Thu, 1 Jun 2006 21:36:19 GMT" }, { "version": "v2", "created": "Thu, 6 Jul 2006 21:05:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Baylis", "W. E.", "" ], [ "Cabrera", "R.", "" ], [ "Rangan", "C.", "" ] ]
quant-ph/0606020
Pavel Exner
Pavel Exner, Martin Fraas
Resonance asymptotics in the generalized Winter model
LaTeX, 10 pages with one figure
Phys. Lett. A360 (2006), 57-61
10.1016/j.physleta.2006.07.073
null
quant-ph math-ph math.MP
null
We consider a modification of the Winter model describing a quantum particle in presence of a spherical barrier given by a fixed generalized point interaction. It is shown that the three classes of such interactions correspond to three different types of asymptotic behaviour of resonances of the model at high energies.
[ { "version": "v1", "created": "Fri, 2 Jun 2006 08:37:39 GMT" } ]
2020-02-07T00:00:00
[ [ "Exner", "Pavel", "" ], [ "Fraas", "Martin", "" ] ]
quant-ph/0606021
Fu-Guo Deng
Fu-Guo Deng, Xi-Han Li, Chun-Yan Li, Ping Zhou, Yu-Jie Liang and Hong-Yu Zhou
Multiparty Quantum Secret Report
4 pages, no figures
Chinese Physics Letters 23, 1676 (2006)
10.1088/0256-307X/23/7/006
null
quant-ph
null
A multiparty quantum secret report scheme is proposed with quantum encryption. The boss Alice and her $M$ agents first share a sequence of ($M$+1)-particle Greenberger--Horne--Zeilinger (GHZ) states that only Alice knows which state each ($M$+1)-particle quantum system is in. Each agent exploits a controlled-not (CNot) gate to encrypt the travelling particle by using the particle in the GHZ state as the control qubit. The boss Alice decrypts the travelling particle with a CNot gate after performing a $\sigma_x$ operation on her particle in the GHZ state or not. After the GHZ states (the quantum key) are used up, the parties check whether there is a vicious eavesdropper, say Eve, monitoring the quantum line, by picking out some samples from the GHZ states shared and measure them with two measuring bases. After confirming the security of the quantum key, they use the GHZ states remained repeatedly for next round of quantum communication. This scheme has the advantage of high intrinsic efficiency for qubits and the total efficiency.
[ { "version": "v1", "created": "Fri, 2 Jun 2006 11:55:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Deng", "Fu-Guo", "" ], [ "Li", "Xi-Han", "" ], [ "Li", "Chun-Yan", "" ], [ "Zhou", "Ping", "" ], [ "Liang", "Yu-Jie", "" ], [ "Zhou", "Hong-Yu", "" ] ]
quant-ph/0606022
Matthew Saul Leifer
M. S. Leifer
Quantum Dynamics as an analog of Conditional Probability
16 pages, 3 figures. v2 Presentation greatly improved, references updated and typos fixed
Phys. Rev. A 74, 042310 (2006)
10.1103/PhysRevA.74.042310
null
quant-ph
null
Quantum theory can be regarded as a non-commutative generalization of classical probability. From this point of view, one expects quantum dynamics to be analogous to classical conditional probabilities. In this paper, a variant of the well-known isomorphism between completely positive maps and bipartite density operators is derived, which makes this connection much more explicit. The new isomorphism is given an operational interpretation in terms of statistical correlations between ensemble preparation procedures and outcomes of measurements. Finally, the isomorphism is applied to elucidate the connection between no-cloning/no-broadcasting theorems and the monogamy of entanglement, and a simplified proof of the no-broadcasting theorem is obtained as a byproduct.
[ { "version": "v1", "created": "Fri, 2 Jun 2006 15:21:35 GMT" }, { "version": "v2", "created": "Thu, 15 Jun 2006 00:26:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Leifer", "M. S.", "" ] ]
quant-ph/0606023
Rolando Somma
R. D. Somma, J. Chiaverini, D. J. Berkeland
Lower bounds for the fidelity of entangled state preparation
8 pages, 2 figures. Added discussion about rotational-invariant states
null
10.1103/PhysRevA.74.052302
null
quant-ph
null
Estimating the fidelity of state preparation in multi-qubit systems is generally a time-consuming task. Nevertheless, this complexity can be reduced if the desired state can be characterized by certain symmetries measurable with the corresponding experimental setup. In this paper we give simple expressions to estimate the fidelity of multi-qubit state preparation for rotational-invariant, stabilizer, and generalized coherent states. We specifically discuss the cat, W-type, and generalized coherent states, and obtain efficiently measurable lower bounds for the fidelity. We use these techniques to estimate the fidelity of a quantum simulation of an Ising-like interacting model using two trapped ions. These results are directly applicable to experiments using fidelity-based entanglement witnesses, such as quantum simulations and quantum computation.
[ { "version": "v1", "created": "Fri, 2 Jun 2006 16:03:16 GMT" }, { "version": "v2", "created": "Fri, 9 Jun 2006 20:38:44 GMT" }, { "version": "v3", "created": "Thu, 20 Jul 2006 17:11:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Somma", "R. D.", "" ], [ "Chiaverini", "J.", "" ], [ "Berkeland", "D. J.", "" ] ]
quant-ph/0606024
Diego A. Wisniacki
Fabricio Toscano and Diego A. Wisniacki
Quantum to classical transition in a system with a mixed classical dynamics
10 pages, 7 figures
Phys. Rev. E 74 056208 (2006)
10.1103/PhysRevE.74.056208
null
quant-ph nlin.CD
null
We study how decoherence rules the quantum-classical transition of the Kicked Harmonic Oscillator (KHO). When the amplitude of the kick is changed the system presents a classical dynamics that range from regular to a strong chaotic behavior. We show that for regular and mixed classical dynamics, and in the presence of noise, the distance between the classical and the quantum phase space distributions is proportional to a single parameter $\chi\equiv K\hbar_{\rm eff}^2/4D^{3/2}$ which relates the effective Planck constant $\hbar_{\rm eff}$, the kick amplitude $K$ and the diffusion constant $D$. This is valid when $\chi < 1$, a case that is always attainable in the semiclassical regime independently of the value of the strength of noise given by $D$. Our results extend a recent study performed in the chaotic regime.
[ { "version": "v1", "created": "Fri, 2 Jun 2006 16:21:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Toscano", "Fabricio", "" ], [ "Wisniacki", "Diego A.", "" ] ]
quant-ph/0606025
Thomas B. Bahder
Paul A. Lopata, Thomas B. Bahder
Sending Sensitive Messages in Quantum Packages
4 pages, 2 tables, and no figures
null
null
null
quant-ph
null
A communication protocol is introduced that allows the receiver of a message to place an a posteriori bound on the amount of information that an eavesdropper could have obtained during transmission of that message. This quantum cryptographic protocol is distinct from quantum key distribution. The quantum states and measurements required by this protocol are simple enough that it can be implemented using existing technology.
[ { "version": "v1", "created": "Fri, 2 Jun 2006 19:23:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Lopata", "Paul A.", "" ], [ "Bahder", "Thomas B.", "" ] ]
quant-ph/0606026
Shohini Ghose
Shohini Ghose and Barry C. Sanders
Non-Gaussian states for continuous variable quantum computation via Gaussian maps
8 pages, 6 figures
Journal of Modern Optics, 54, 855 (2007)
10.1080/09500340601101575
null
quant-ph
null
We investigate non-Gaussian states of light as ancillary inputs for generating nonlinear transformations required for quantum computing with continuous variables. We consider a recent proposal for preparing a cubic phase state, find the exact form of the prepared state and perform a detailed comparison to the ideal cubic phase state. We thereby identify the main challenges to preparing an ideal cubic phase state and describe the gates implemented with the non-ideal prepared state. We also find the general form of operations that can be implemented with ancilla Fock states, together with Gaussian input states, linear optics and squeezing transformations, and homodyne detection with feed forward, and discuss the feasibility of continuous variable quantum computing using ancilla Fock states.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 03:02:31 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 17:43:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghose", "Shohini", "" ], [ "Sanders", "Barry C.", "" ] ]
quant-ph/0606027
A. D. Alhaidari
A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem, F. S. Al-Ameen, and T. H. Al-Abdulaal
Scattering theory with a natural regularization: Rediscovering the J-matrix method
10 pages
Physics Letters A 364.5 (2007) 372--377
10.1016/j.physleta.2006.12.027
null
quant-ph
null
In three dimensional scattering, the energy continuum wavefunction is obtained by utilizing two independent solutions of the reference wave equation. One of them is typically singular (usually, near the origin of configuration space). Both are asymptotically regular and sinusoidal with a phase difference (shift) that contains information about the scattering potential. Therefore, both solutions are essential for scattering calculations. Various regularization techniques were developed to handle the singular solution leading to different well-established scattering methods. To simplify the calculation the regularized solutions are usually constructed in a space that diagonalizes the reference Hamiltonian. In this work, we start by proposing solutions that are already regular. We write them as infinite series of square integrable basis functions that are compatible with the domain of the reference Hamiltonian. However, we relax the diagonal constraint on the representation by requiring that the basis supports an infinite tridiagonal matrix representation of the wave operator. The hope is that by relaxing this constraint on the solution space a larger freedom is achieved in regularization such that a natural choice emerges as a result. We find that one of the resulting two independent wavefunctions is, in fact, the regular solution of the reference problem. The other is uniquely regularized in the sense that it solves the reference wave equation only outside a dense region covering the singularity in configuration space. However, asymptotically it is identical to the irregular solution. We show that this natural and special regularization is equivalent to that already used in the J-matrix method of scattering.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 18:19:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Alhaidari", "A. D.", "" ], [ "Bahlouli", "H.", "" ], [ "Abdelmonem", "M. S.", "" ], [ "Al-Ameen", "F. S.", "" ], [ "Al-Abdulaal", "T. H.", "" ] ]
quant-ph/0606028
A. R. P. Rau
A.R.P.Rau
Quantum Interpretations
13 pages
null
10.4006/1.3025810
null
quant-ph
null
Difficulties and discomfort with the interpretation of quantum mechanics are due to differences in language between it and classical physics. Analogies to The Special Theory of Relativity, which also required changes in the basic worldview and language of non-relativistic classical mechanics, may help in absorbing the changes called for by quantum physics. There is no need to invoke extravagances such as the many worlds interpretation or specify a central role for consciousness or neural microstructures. The simple, but basic, acceptance that what is meant by the state of a physical system is different in quantum physics from what it is in classical physics goes a long way in explaining its seeming peculiarities.
[ { "version": "v1", "created": "Sat, 3 Jun 2006 20:56:07 GMT" } ]
2015-06-26T00:00:00
[ [ "Rau", "A. R. P.", "" ] ]
quant-ph/0606029
Hong Shen
S. Yang, Z. Song, C.P. Sun
Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
7 pages, 6 figures
Sci. China Ser. G 51, 45 (2008)
10.1007/s11433-008-0002-0
null
quant-ph cond-mat.mes-hall
null
We study the dynamic generation of spin entanglement between two distant sites in an XY model with $1/r^{2}$-decay long range couplings. Due to the linear dispersion relation $\epsilon (k)\sim |k|$ of magnons in such model, we show that a well-located spin state can be dynamically split into two moving entangled local wave packets without changing their shapes. Interestingly, when such two wave packets meet at the diametrically opposite site after the fast period $\tau =\pi $, the initial well-located state can be recurrent completely. Numerical calculation is performed to confirm the analytical result even the ring system of sizes $N$ up to several thousands are considered. The truncation approximation for the coupling strengths is also studied. Numerical simulation shows that the above conclusions still hold even the range of the coupling strength is truncated at a relative shorter scale comparing to the size of the spin system.
[ { "version": "v1", "created": "Sun, 4 Jun 2006 21:53:20 GMT" } ]
2010-02-09T00:00:00
[ [ "Yang", "S.", "" ], [ "Song", "Z.", "" ], [ "Sun", "C. P.", "" ] ]
quant-ph/0606030
Toyohiro Tsurumaru
Toyohiro Tsurumaru
Group Covariant Protocols for Quantum String Commitment
5 pages, no figure, typos corrected
Phys. Rev. A, 74, 042307 (2006)
10.1103/PhysRevA.74.042307
null
quant-ph
null
We study the security of quantum string commitment (QSC) protocols with group covariant encoding scheme. First we consider a class of QSC protocol, which is general enough to incorporate all the QSC protocols given in the preceding literatures. Then among those protocols, we consider group covariant protocols and show that the exact upperbound on the binding condition can be calculated. Next using this result, we prove that for every irreducible representation of a finite group, there always exists a corresponding nontrivial QSC protocol which reaches a level of security impossible to achieve classically.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 08:42:39 GMT" }, { "version": "v2", "created": "Mon, 16 Oct 2006 07:06:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Tsurumaru", "Toyohiro", "" ] ]
quant-ph/0606031
Suresh Tiwari dr
S. C. Tiwari
Photon Spin, Zero-point Energy and Black-body radiation
Submitted for publication
null
null
null
quant-ph
null
A critical review of the obscure nature of the contribution of spin energy to the energy of the electromagnetic field is presented. It is proposed that the total energy of photon h\nu comprises of kinetic and spin parts each equal to h\nu/2. Classical magnetic field is reinterpreted as angular momentum flux of photon fluid. The black-body radiation law is revisited in the light of new significance of the zero-point energy proposed here.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 08:48:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Tiwari", "S. C.", "" ] ]
quant-ph/0606032
Michele Caponigro
Michele Caponigro, Helen Lynn
Quantum Mechanics: 44 Admissible Questions? -Not only Fapp-
2 pages
null
null
null
quant-ph
null
The words: determinism, hidden variables, subjectivism, information, objectivism, informational-theoretic axioms,observers have some connection with physical reality? What we mean with "description" of physical reality? When we say that we understand this reality? Certain parameters:position, velocity are sufficient? We will focus only to conceptual considerations regarding the relation between the "questions" and the relative "answers" in general and specifically in quantum mechanics. It is usually believed that the answers are more important of the questions, for this reason we can read many answers everywhere and in different field of knowledge. We need to add and clarify some things: (i) usually an answers require a question, (ii) but, as we know, their relation is not so simple and immediate, (iii) For instance: a)an epistemic questions give us ontic answers? b)the answer has a connection with the question and vice versa? c)we could to infer a question starting from an answer? d)there are answers without questions? These answers could be in some framework considered as ontic answers? The relative scientific works are the same time ontic? Speaking of quantum mechanics we see around many answers in the meantime we do not see the correspondent questions, these answers seem completely independent, and this seem a right road, the road of the independent nature unlinked from human thoughts. We retain instead that questions can affect the possible answers. Exist "something" before the question?
[ { "version": "v1", "created": "Mon, 5 Jun 2006 11:40:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Caponigro", "Michele", "" ], [ "Lynn", "Helen", "" ] ]
quant-ph/0606033
Takao Aoki
Takao Aoki, Barak Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, H. J. Kimble, T. J. Kippenberg, K. J. Vahala
Observation of Strong Coupling between One Atom and a Monolithic Microresonator
null
Nature 443, 671 (2006)
10.1038/nature05147
null
quant-ph
null
Over the past decade, strong interactions of light and matter at the single-photon level have enabled a wide set of scientific advances in quantum optics and quantum information science. This work has been performed principally within the setting of cavity quantum electrodynamics with diverse physical systems, including single atoms in Fabry-Perot resonators, quantum dots coupled to micropillars and photonic bandgap cavities, and Cooper-pairs interacting with superconducting resonators. Experiments with single, localized atoms have been at the forefront of these advances with the use of optical resonators in high-finesse Fabry-Perot configurations. As a result of the extreme technical challenges involved in further improving the multilayer dielectric mirror coatings of these resonators and in scaling to large numbers of devices, there has been increased interest in the development of alternative microcavity systems. Here we show strong coupling between individual Cesium atoms and the fields of a high-quality toroidal microresonator. From observations of transit events for single atoms falling through the resonator's evanescent field, we determine the coherent coupling rate for interactions near the surface of the resonator. We develop a theoretical model to quantify our observations, demonstrating that strong coupling is achieved, with the rate of coherent coupling exceeding the dissipative rates of the atom and the cavity. Our work opens the way for investigations of optical processes with single atoms and photons in lithographically fabricated microresonators. Applications include the implementation of quantum networks, scalable quantum logic with photons, and quantum information processing on atom chips.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 14:14:34 GMT" }, { "version": "v2", "created": "Mon, 4 Sep 2006 16:56:29 GMT" } ]
2014-05-06T00:00:00
[ [ "Aoki", "Takao", "" ], [ "Dayan", "Barak", "" ], [ "Wilcut", "E.", "" ], [ "Bowen", "W. P.", "" ], [ "Parkins", "A. S.", "" ], [ "Kimble", "H. J.", "" ], [ "Kippenberg", "T. J.", "" ], [ "Vahala", "K. J.", "" ] ]
quant-ph/0606034
Fei Gao
Fei Gao, Qiao-Yan Wen, Fu-Chen Zhu
Improving the security of quantum exam against cheating
6 pages, no figure; Submitted to Phys. Lett. A on March 10,2006
Phys. Lett. A 360 (2007) 748-750, with the changed title "Comment on: "Quantum exam" [Phys. Lett. A 350 (2006) 174]"
10.1016/j.physleta.2006.08.016
null
quant-ph
null
The security of quantum exam [Phys. Lett. A 350 (2006) 174] is analyzed and it is found that this protocol is secure for any eavesdropper except for the "students" who take part in the exam. Specifically, any student can steal other examinees' solutions and then cheat in the exam. Furthermore, a possible improvement of this protocol is presented.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 14:20:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Gao", "Fei", "" ], [ "Wen", "Qiao-Yan", "" ], [ "Zhu", "Fu-Chen", "" ] ]
quant-ph/0606035
Andrew Fletcher
Andrew S. Fletcher, Peter W. Shor, and Moe Z. Win
Optimum Quantum Error Recovery using Semidefinite Programming
7 pages, 3 figures
null
10.1103/PhysRevA.75.012338
null
quant-ph
null
Quantum error correction (QEC) is an essential element of physical quantum information processing systems. Most QEC efforts focus on extending classical error correction schemes to the quantum regime. The input to a noisy system is embedded in a coded subspace, and error recovery is performed via an operation designed to perfectly correct for a set of errors, presumably a large subset of the physical noise process. In this paper, we examine the choice of recovery operation. Rather than seeking perfect correction on a subset of errors, we seek a recovery operation to maximize the entanglement fidelity for a given input state and noise model. In this way, the recovery operation is optimum for the given encoding and noise process. This optimization is shown to be calculable via a semidefinite program (SDP), a well-established form of convex optimization with efficient algorithms for its solution. The error recovery operation may also be interpreted as a combining operation following a quantum spreading channel, thus providing a quantum analogy to the classical diversity combining operation.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 17:36:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Fletcher", "Andrew S.", "" ], [ "Shor", "Peter W.", "" ], [ "Win", "Moe Z.", "" ] ]
quant-ph/0606036
Paula Villar
Fernando C. Lombardo and Paula I. Villar
Geometric phases in open systems: an exact model to study how they are corrected by decoherence
Revtex 4, 5 pages, one eps figure. Version Published
Physical Review A 74, 042311 (2006)
10.1103/PhysRevA.74.042311
null
quant-ph
null
We calculate the geometric phase for an open system (spin-boson model) which interacts with an environment (ohmic or nonohmic) at arbitrary temperature. However there have been many assumptions about the time scale at which the geometric phase can be measured, there has been no reported observation yet for mixed states under nonunitary evolution. We study not only how they are corrected by the presence of the different type of environments but also estimate the corresponding times at which decoherence becomes effective. These estimations should be taken into account when planning experimental setups to study the geometric phase in the nonunitary regime, particularly important for the application of fault-tolerant quantum computation.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 21:48:21 GMT" }, { "version": "v2", "created": "Thu, 12 Oct 2006 21:55:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Lombardo", "Fernando C.", "" ], [ "Villar", "Paula I.", "" ] ]
quant-ph/0606037
Nathan Lundblad
N. Lundblad, R. J. Thompson, D. C. Aveline, L. Maleki
Spinor Dynamics-Driven Formation of a Dual-Beam Atom Laser
4 pages, 4 figures
Optics Express 14,10164 (2006)
10.1364/OE.14.010164
null
quant-ph physics.atom-ph
null
We demonstrate a novel dual-beam atom laser formed by outcoupling oppositely polarized components of an F=1 spinor Bose-Einstein condensate whose Zeeman sublevel populations have been coherently evolved through spin dynamics. The condensate is formed through all-optical means using a single-beam running-wave dipole trap. We create a condensate in the field-insensitive $m_F=0$ state, and drive coherent spin-mixing evolution through adiabatic compression of the initially weak trap. Such dual beams, number-correlated through the angular momentum-conserving reaction $2m_0\leftrightharpoons m_{+1}+m_{-1}$, have been proposed as tools to explore entanglement and squeezing in Bose-Einstein condensates, and have potential use in precision phase measurements.
[ { "version": "v1", "created": "Mon, 5 Jun 2006 21:49:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Lundblad", "N.", "" ], [ "Thompson", "R. J.", "" ], [ "Aveline", "D. C.", "" ], [ "Maleki", "L.", "" ] ]
quant-ph/0606038
Joseph Johnson
Joseph F. Johnson
Remarks on an attempted axiomatisation of Quantum Mechanics, due to Lucien Hardy, and Ten Theses on Hilbert's Sixth Problem and Quantum Measurement
see http://arxiv.org/abs/quant-ph/0502124 and http://euclid.unh.edu/~jjohnson/axiomatics.html for larger context and further references
null
null
null
quant-ph
null
From the standpoint of Hilbert's Sixth Problem, which is the axiomatisation of Physics, the famous paper of Lucien Hardy's, Quantum Theory from Five Reasonable Axioms, is not relevant. The present paper argues that Hardy does not give a physical definition of `limit', and if we assume the usual mathematical definition of limit of a sequence, he fails to define a sequence in physical terms to which the usual definition is applicable. We argue that one should not, in fact, try to define probability in terms of the usual notion of limit of a sequence of results of a measurement because of seemingly insurmountable difficulties in axiomatising the notion of function or sequence in this context. Von Plato's and the authour's work (see http:arxiv.org/abs/quant-ph/0502124 and euclid.unh.edu/~jjohnson/axiomatics.html for larger context and further references) on the definition of physical probability needs to be used in this context. We conclude with ten theses on quantum measurement, from the standpoint of the Hilbert problem.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 02:10:42 GMT" }, { "version": "v2", "created": "Thu, 15 Jun 2006 02:28:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Johnson", "Joseph F.", "" ] ]
quant-ph/0606039
Safa Jami
Safa Jami, Mohsen Sarbishei
Degree of entanglement for qubit-qutrit state
null
null
null
null
quant-ph
null
In this paper we consider a system consist of a qubit and a qutrit, and find a formula to evaluate the concurrence for it. We show that entanglement of formation for this system obeys the same relation as for two-qubits.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 08:11:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Jami", "Safa", "" ], [ "Sarbishei", "Mohsen", "" ] ]
quant-ph/0606040
Grigori Amosov
Grigori Amosov
On the additivity conjecture for the Weyl channels being covariant with respect to the maximum commutative group of unitaries
3 pages, a completely revised version
null
null
null
quant-ph
null
Some new examples of quantum channels for which the infimum of the output entropy is additive under taking a tensor product of channels are given.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 08:18:42 GMT" }, { "version": "v2", "created": "Tue, 13 Jun 2006 16:28:43 GMT" }, { "version": "v3", "created": "Sat, 9 Sep 2006 11:18:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Amosov", "Grigori", "" ] ]
quant-ph/0606041
Johannes Kofler
Michael Lindenthal, Johannes Kofler
Measuring the absolute photo detection efficiency using photon number correlations
6 pages, 1 figure, journal reference added
Appl. Opt. 45, 6059 (2006)
10.1364/AO.45.006059
null
quant-ph
null
We present two methods for determining the absolute detection efficiency of photon-counting detectors directly from their singles rates under illumination from a nonclassical light source. One method is based on a continuous variable analogue to coincidence counting in discrete photon experiments, but does not actually rely on high detector time resolutions. The second method is based on difference detection which is a typical detection scheme in continuous variable quantum optics experiments. Since no coincidence detection is required with either method, they are useful for detection efficiency measurements of photo detectors with detector time resolutions far too low to resolve coincidence events.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 09:09:33 GMT" }, { "version": "v2", "created": "Sun, 6 Aug 2006 18:57:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Lindenthal", "Michael", "" ], [ "Kofler", "Johannes", "" ] ]
quant-ph/0606042
Jaroslav Rehacek
Z. Hradil, D. Mogilevtsev, J. Rehacek
Biased tomography schemes: an objective approach
4 pages, 3 figures, accepted in PRL
null
10.1103/PhysRevLett.96.230401
null
quant-ph
null
We report on an intrinsic relationship between the maximum-likelihood quantum-state estimation and the representation of the signal. A quantum analogy of the transfer function determines the space where the reconstruction should be done without the need for any ad hoc truncations of the Hilbert space. An illustration of this method is provided by a simple yet practically important tomography of an optical signal registered by realistic binary detectors.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 13:10:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Hradil", "Z.", "" ], [ "Mogilevtsev", "D.", "" ], [ "Rehacek", "J.", "" ] ]
quant-ph/0606043
Giampiero Esposito Dr.
Giuseppe Bimonte, Detlef Born, Enrico Calloni, Giampiero Esposito, Uwe Hubner, Evgeni Il'ichev, Luigi Rosa, Ornella Scaldaferri, Francesco Tafuri, Ruggero Vaglio
The Aladin2 experiment: sensitivity study
4 pages, Latex macros, 10th Conference on Frontier Detectors for Frontier Physics, Isola D'Elba, 21-27 May 2006
Nucl.Instrum.Meth.A572:515-517,2007
10.1016/j.nima.2006.10.379
DSF preprint 2006/14
quant-ph
null
Aladin2 is an experiment devoted to the first measurement of variations of Casimir energy in a rigid body. The main short-term scientific motivation relies on the possibility of the first demonstration of a phase transition influenced by vacuum fluctuations while, in the long term and in the mainframe of the cosmological constant problem, it can be regarded as the first step towards a measurement of the weight of vacuum energy. In this paper, after a presentation of the guiding principle of the measurement, the experimental apparatus and sensitivity studies on final cavities will be presented.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 13:13:20 GMT" } ]
2008-11-26T00:00:00
[ [ "Bimonte", "Giuseppe", "" ], [ "Born", "Detlef", "" ], [ "Calloni", "Enrico", "" ], [ "Esposito", "Giampiero", "" ], [ "Hubner", "Uwe", "" ], [ "Il'ichev", "Evgeni", "" ], [ "Rosa", "Luigi", "" ], [ "Scaldaferri", "Ornella", "" ], [ "Tafuri", "Francesco", "" ], [ "Vaglio", "Ruggero", "" ] ]
quant-ph/0606044
Yuri Rostovtsev
Yuri V. Rostovtsev, Zoe-Elizabeth Sariyanni, and Marlan O. Scully
Electromagnetically induced coherent backscattering
null
null
10.1103/PhysRevLett.97.113001
null
quant-ph
null
We demonstrate a strong coherent backward wave oscillation using forward propagating fields only. This is achieved by applying laser fields to an ultra-dispersive medium with proper chosen detunings to excite a molecular vibrational coherence that corresponds to a backward propagating wave. The physics then has much in common with propagation of ultra-slow light. Applications to coherent scattering and remote sensing are discussed.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 13:48:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Rostovtsev", "Yuri V.", "" ], [ "Sariyanni", "Zoe-Elizabeth", "" ], [ "Scully", "Marlan O.", "" ] ]
quant-ph/0606045
Esteban Guevara Hidalgo
Esteban Guevara Hidalgo
Quantum Games Entropy
6 pages
Physica A 383/2, 797-804 (2007)
10.1016/j.physa.2007.05.001
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong relationship between game theories, information theories and statistical physics. The density operator and entropy are the bonds between these theories. The analysis we propose is based on the properties of entropy, the amount of information that a player can obtain about his opponent and a maximum or minimum entropy criterion. The natural trend of a physical system is to its maximum entropy state. The minimum entropy state is a characteristic of a manipulated system i.e. externally controlled or imposed. There exist tacit rules inside a system that do not need to be specified or clarified and search the system equilibrium under the collective welfare principle. The other rules are imposed over the system when one or many of its members violate this principle and maximize its individual welfare at the expense of the group.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 15:00:30 GMT" }, { "version": "v2", "created": "Tue, 3 Oct 2006 16:45:24 GMT" }, { "version": "v3", "created": "Fri, 13 Jul 2007 22:27:32 GMT" }, { "version": "v4", "created": "Thu, 8 Dec 2016 23:01:00 GMT" } ]
2016-12-12T00:00:00
[ [ "Hidalgo", "Esteban Guevara", "" ] ]
quant-ph/0606046
Matteo G. A. Paris
G. Brida, M. Genovese, M. Gramegna, M. G. A. Paris, E. Predazzi, E. Cagliero
On the reconstruction of diagonal elements of density matrix of quantum optical states by on/off detectors
10 pages, presented at Palermo "TQMFA2005" Conference. To appear on "Open Systems & Information Dynamics" (2006)
Open Syst & Inf Dyn 13 (2006) 333
null
null
quant-ph
null
We discuss a scheme for reconstructing experimentally the diagonal elements of the density matrix of quantum optical states. Applications to PDC heralded photons, multi-thermal and attenuated coherent states are illustrated and discussed in some details.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 15:49:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Brida", "G.", "" ], [ "Genovese", "M.", "" ], [ "Gramegna", "M.", "" ], [ "Paris", "M. G. A.", "" ], [ "Predazzi", "E.", "" ], [ "Cagliero", "E.", "" ] ]
quant-ph/0606047
J. G. Muga
F. Delgado, A. Ruschhaupt, J. G. Muga
Preparation of atomic velocities by bound-state to resonance conversion
null
null
null
null
quant-ph
null
A procedure is proposed to control the average and width of the velocity distribution of ultra-cold atoms. The atoms are set initially in a bound state of an optical trap formed by an inner red detuned laser and an outer blue detuned laser. The bound state is later converted into a resonance by a suitable change of the laser intensities. An optimal time dependence of the switching process, between the sudden and adiabatic limits, adjusts the final translational energies to the Lorentzian shape of the resonance state.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 17:23:03 GMT" } ]
2007-05-23T00:00:00
[ [ "Delgado", "F.", "" ], [ "Ruschhaupt", "A.", "" ], [ "Muga", "J. G.", "" ] ]
quant-ph/0606048
Anne Louchet
Anne Louchet (LAC), Jamil S. Habib (LAC), Vincent Crozatier (LAC), Ivan Lorger\'e (LAC), Fabienne Goldfarb (LAC), Fabien Bretenaker (LAC), Jean-Louis Le Gou\"et (LAC), Olivier Guillot-No\"el (CMCP), Philippe Goldner (CMCP)
Branching ratio measurement of a "Lambda" system in Tm3+:YAG under magnetic field
null
Phys. Rev. B 75, 035131 (2007)
10.1103/PhysRevB.75.035131
null
quant-ph
null
A three-level Lambda system in Tm3+ doped YAG crystal is experimentally investigated in the prospect of quantum information processing. Zeeman effect is used to lift the nuclear spin degeneracy of this ion. In a previous paper [de Seze et al. Phys. Rev. B, 73, 85112 (2006) we measured the gyromagnetic tensor components and concluded that adequate magnetic field orientation could optimize the optical connection of both ground state sublevels to each one of the excited state sublevels, thus generating Lambda systems. Here we report on the direct measurement of the transition probability ratio along the two legs of the Lambda. Measurement techniques combine frequency selective optical pumping with optical nutation or photon echo processes.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 17:32:22 GMT" }, { "version": "v2", "created": "Thu, 21 Dec 2006 13:13:43 GMT" } ]
2016-08-16T00:00:00
[ [ "Louchet", "Anne", "", "LAC" ], [ "Habib", "Jamil S.", "", "LAC" ], [ "Crozatier", "Vincent", "", "LAC" ], [ "Lorgeré", "Ivan", "", "LAC" ], [ "Goldfarb", "Fabienne", "", "LAC" ], [ "Bretenaker", "Fabien", "", "LAC" ], [ "Gouët", "Jean-Louis Le", "", "LAC" ], [ "Guillot-Noël", "Olivier", "", "CMCP" ], [ "Goldner", "Philippe", "", "CMCP" ] ]
quant-ph/0606049
Lluis Masanes
Ll. Masanes, R. Renner, M. Christandl, A. Winter, J. Barrett
Full security of quantum key distribution from no-signaling constraints
15 pages, 2 figure
IEEE Transactions on Information Theory, Volume 60, Issue 8, pages 4973-4986, year 2014
10.1109/TIT.2014.2329417
null
quant-ph cs.CR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze a cryptographic protocol for generating a distributed secret key from correlations that violate a Bell inequality by a sufficient amount, and prove its security against eavesdroppers, constrained only by the assumption that any information accessible to them must be compatible with the non-signaling principle. The claim holds with respect to the state-of-the-art security definition used in cryptography, known as universally-composable security. The non-signaling assumption only refers to the statistics of measurement outcomes depending on the choices of measurements; hence security is independent of the internal workings of the devices --- they do not even need to follow the laws of quantum theory. This is relevant for practice as a correct and complete modeling of realistic devices is generally impossible. The techniques developed are general and can be applied to other Bell inequality-based protocols. In particular, we provide a scheme for estimating Bell-inequality violations when the samples are not independent and identically distributed.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 17:42:34 GMT" }, { "version": "v2", "created": "Mon, 14 Jul 2008 14:01:13 GMT" }, { "version": "v3", "created": "Sun, 27 Jul 2008 08:31:16 GMT" }, { "version": "v4", "created": "Thu, 10 Dec 2009 13:58:31 GMT" }, { "version": "v5", "created": "Wed, 24 Sep 2014 09:54:18 GMT" } ]
2014-12-02T00:00:00
[ [ "Masanes", "Ll.", "" ], [ "Renner", "R.", "" ], [ "Christandl", "M.", "" ], [ "Winter", "A.", "" ], [ "Barrett", "J.", "" ] ]
quant-ph/0606050
Frederick W. Strauch
Frederick W. Strauch
Connecting the discrete and continuous-time quantum walks
5 pages, 1 figure
Phys. Rev. A 74, 030301 (R) (2006)
10.1103/PhysRevA.74.030301
null
quant-ph
null
Recently, quantized versions of random walks have been explored as effective elements for quantum algorithms. In the simplest case of one dimension, the theory has remained divided into the discrete-time quantum walk and the continuous-time quantum walk. Though the properties of these two walks have shown similarities, it has remained an open problem to find the exact relation between the two. The precise connection of these two processes, both quantally and classically, is presented. Extension to higher dimensions is also discussed.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 19:59:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Strauch", "Frederick W.", "" ] ]
quant-ph/0606051
Xiong-Jun Liu
Xiong-Jun Liu, Xin Liu, Zheng-Xin Liu, L. C. Kwek and C. H. Oh
Tightly Localized Stationary Pulses in Multi-Level Atomic System
5 pages, 3 figures; final version (Fig.3 is revised); to appear in Phys. Rev. A
Phys. Rev. A 75, 023809 (2007)
10.1103/PhysRevA.75.023809
null
quant-ph
null
We show the pulse matching phenomenon can be obtained in the general multi-level system with electromagnetically induced transparency (EIT). For this we find a novel way to create tightly localized stationary pulses by using counter-propagating pump fields. The present process is a spatial compression of excitation so that it allows us to shape and further intensify the localized stationary pulses, without using standing waves of pump fields or spatially modulated pump fields.
[ { "version": "v1", "created": "Tue, 6 Jun 2006 20:55:47 GMT" }, { "version": "v2", "created": "Wed, 5 Jul 2006 04:46:44 GMT" }, { "version": "v3", "created": "Tue, 26 Sep 2006 09:50:51 GMT" }, { "version": "v4", "created": "Thu, 18 Jan 2007 18:32:39 GMT" } ]
2015-06-26T00:00:00
[ [ "Liu", "Xiong-Jun", "" ], [ "Liu", "Xin", "" ], [ "Liu", "Zheng-Xin", "" ], [ "Kwek", "L. C.", "" ], [ "Oh", "C. H.", "" ] ]
quant-ph/0606052
Sergey Yalunin
Sergey Yalunin, Sergey B. Leble
Multiple scattering and electron-uracil collisions at low energies
9 pages, 5 figures
null
10.1140/epjst/e2007-00115-x
null
quant-ph
null
Links between two well known methods: methods of zero-range and non-overlapped (muffin-tin) potentials are discussed. Some difficulties of the method of zero-range potentials and its possible elimination are discussed. We argue that such advanced method of ZRP potential can be applied to realistic electron-molecular processes. The method reduces electron-molecule scattering to generalized eigenvalue problem for hermitian matrices and admit fast numerical scheme. A noteworthy feature of the method is direct possibility to calculate the wave functions (partial waves). The theory is applied to electron-uracil scattering. Partial phases and cross-sections at low energies are evaluated and plotted.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 00:32:32 GMT" }, { "version": "v2", "created": "Fri, 18 Aug 2006 18:41:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Yalunin", "Sergey", "" ], [ "Leble", "Sergey B.", "" ] ]
quant-ph/0606053
Ou Yong-Cheng
Yong-Cheng Ou and Heng Fan
Vanishing environment-induced decoherence
4 pages, 2 figures
J.Phys.A-Math.Gen. 40,2455(2007)
10.1088/1751-8113/40/10/014
null
quant-ph
null
For a central system uniformly coupled to a XY spin-1/2 bath in a transverse field, we explicitly calculate the Loschmidt echo(LE) to characterize decoherence quantitatively. We find that the anisotropy parameter $\gamma $ affects decoherence of the central system sensitively when $\gamma \in [0,1]$% , in particular, the LE becomes unit without varying with time when $\gamma =0 $, implying that environment-induced decoherence vanishes . Some other cases in which the LE is unit are discussed also.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 14:00:21 GMT" }, { "version": "v2", "created": "Mon, 7 Aug 2006 13:54:10 GMT" } ]
2009-11-13T00:00:00
[ [ "Ou", "Yong-Cheng", "" ], [ "Fan", "Heng", "" ] ]
quant-ph/0606054
Ou Yong-Cheng
Yong-Cheng Ou, Zhuang-Qi Cao, and Qi-Shun Shen
Formally exact quantization condition for nonrelativistic quantum systems
4 pages. Appeared in Journal of Chemical Physics 121,8175(2004)
J.Chem.Phys. 121 (2004) 8175
10.1063/1.1799015
null
quant-ph astro-ph hep-th
null
Based on the standard transfer matrix, a formally exact quantization condition for arbitrary potentials, which outflanks and unifies the historical approaches, is derived. It can be used to find the exact bound-state energy eigenvalues of the quantum system without solving an equation of motion for the system wave functions.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 05:12:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Ou", "Yong-Cheng", "" ], [ "Cao", "Zhuang-Qi", "" ], [ "Shen", "Qi-Shun", "" ] ]
quant-ph/0606055
Mikalai Karelin
Mikalai Karelin
Schmidt number of pure bi-partite entangled states and methods of its calculation
3 pages, 1 figure; based on the poster presentation reported on the 11th International Conference on Quantum Optics (ICQO'2006, Minsk, May 26 -- 31, 2006), to be published in special issue of Optics and Spectroscopy
null
10.1134/S0030400X07080048
Sa27E24
quant-ph
null
An entanglement measure for pure-state continuous-variable bi-partite problem, the Schmidt number, is analytically calculated for one simple model of atom-field scattering.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 06:07:28 GMT" }, { "version": "v2", "created": "Sun, 6 Aug 2006 08:05:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Karelin", "Mikalai", "" ] ]
quant-ph/0606056
Jean Richert
Tarek Khalil and Jean Richert
Application of a renormalization algorithm in Hilbert space to the study of many-body quantum systems
22 pages, 8 figures
null
null
null
quant-ph cond-mat.str-el nucl-th
null
We implement an algorithm which is aimed to reduce the number of basis states spanning the Hilbert space of quantum many-body systems. We test the efficiency of the procedure by working out and analyzing the spectral properties of strongly correlated and frustrated quantum spin systems. The role and importance of symmetries are investigated
[ { "version": "v1", "created": "Wed, 7 Jun 2006 13:25:40 GMT" }, { "version": "v2", "created": "Thu, 9 Nov 2006 14:07:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Khalil", "Tarek", "" ], [ "Richert", "Jean", "" ] ]
quant-ph/0606057
Domenico D'Alessandro
Francesca Albertini, Domenico D'Alessandro
Analysis and identification of quantum dynamics using Lie algebra homomorphisms and Cartan decompositions
null
null
null
null
quant-ph
null
In this paper, we consider the problem of model equivalence for quantum systems. Two models are said to be (input-output) equivalent if they give the same output for every admissible input. In the case of quantum systems, the output is the expectation value of a given observable or, more in general, a probability distribution for the result of a quantum measurement. We link the input-output equivalence of two models to the existence of a homomorphism of the underlying Lie algebra. In several cases, a Cartan decomposition of the Lie algebra su(n) is useful to find such a homomorphism and to determine the classes of equivalent models. We consider in detail the important cases of two level systems with a Cartan structure and of spin networks. In the latter case, complete results are given generalizing previous results to the case of networks of spin particles with any value of the spin. In treating this problem, we prove some instrumental results on the subalgebras of su(n) which are of independent interest.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 10:04:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Albertini", "Francesca", "" ], [ "D'Alessandro", "Domenico", "" ] ]
quant-ph/0606058
Jeroen Vandenbrink
Jasper van Wezel and Jeroen van den Brink
Limit to manipulation of qubits due to spontaneous symmetry breaking
2 pages, proceedings, to appear in JMMM
Journal of Magnetism and Magnetic Materials 310, e503 (2007).
10.1016/j.jmmm.2006.10.623
null
quant-ph cond-mat.stat-mech cond-mat.str-el
null
We consider a two-spin qubit that is subject to the orderparameter field of a symmetry broken manipulation device. It is shown that the thin spectrum of the manipulation device limits the coherence of the qubit.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 13:22:04 GMT" } ]
2009-11-13T00:00:00
[ [ "van Wezel", "Jasper", "" ], [ "Brink", "Jeroen van den", "" ] ]
quant-ph/0606059
Michael Reimpell
M. Reimpell, R. F. Werner and K. Audenaert
Comment on "Optimum Quantum Error Recovery using Semidefinite Programming"
2 pages, 1 figure
null
null
null
quant-ph
null
In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery operation in an error correction scheme can be considered as a semidefinite program. As a possible future improvement it is noted that still better error correction might be obtained by optimizing the encoding as well. In this note we present the result of such an improvement, specifically for the four-bit correction of an amplitude damping channel considered in [1]. We get a strict improvement for almost all values of the damping parameter. The method (and the computer code) is taken from our earlier study of such correction schemes (quant-ph/0307138).
[ { "version": "v1", "created": "Wed, 7 Jun 2006 15:24:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Reimpell", "M.", "" ], [ "Werner", "R. F.", "" ], [ "Audenaert", "K.", "" ] ]
quant-ph/0606060
Kurt Jacobs
Kurt Jacobs and Pavel Lougovski
Emergent Quantum Jumps in a Nano-Electro-Mechanical System
7 pages, revtex4, 1 eps figure. v2 and v3: presentation altered, references added
J. Phys. A: Math. Theor. 40, F987 (2007)
10.1088/1751-8113/40/46/F02
null
quant-ph cond-mat.mes-hall
null
We describe a nano-electromechnical system that exhibits the "retroactive" quantum jumps discovered by Mabuchi and Wiseman [Phys. Rev. Lett. 81, 4620 (1998)]. This system consists of a Cooper-pair box coupled to a nano-mechanical resonator, in which the latter is continuously monitored by a single-electron transistor or quantum point-contact. Further, we show that these kinds of jumps, and the jumps that emerge in a continuous quantum non-demolition measurement are one and the same phenomena. We also consider manipulating the jumps by applying feedback control to the Cooper-pair box.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 18:41:16 GMT" }, { "version": "v2", "created": "Fri, 16 Jun 2006 22:33:35 GMT" }, { "version": "v3", "created": "Tue, 23 Oct 2007 16:35:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Jacobs", "Kurt", "" ], [ "Lougovski", "Pavel", "" ] ]
quant-ph/0606061
Robert R. Tucci
Robert R. Tucci
Simplifying Quantum Circuits via Circuit Invariants and Dressed CNOTs
71 pages (59 files: 1 .tex, 2 .sty, 18 .eps, 37 .m, 1 .xxx)ArXiv generates a pdf with mangled Table of Contents, my software doesn't. If this bothers you, download source from ArXiv and recompile at home
null
null
null
quant-ph
null
Quantum Compiling Algorithms decompose (exactly, without approximations) an arbitrary $2^\nb$ unitary matrix acting on $\nb$ qubits, into a sequence of elementary operations (SEO). There are many possible ways of decomposing a unitary matrix into a SEO, and some of these decompositions have shorter length (are more efficient) than others. Finding an optimum (shortest) decomposition is a very hard task, and is not our intention here. A less ambitious, more doable task is to find methods for optimizing small segments of a SEO. Call these methods piecewise optimizations. Piecewise optimizations involve replacing a small quantum circuit by an equivalent one with fewer CNOTs. Two circuits are said to be equivalent if one of them multiplied by some external local operations equals the other. This equivalence relation between circuits has its own class functions, which we call circuit invariants. Dressed CNOTs are a simple yet very useful generalization of standard CNOTs. After discussing circuit invariants and dressed CNOTs, we give some methods for simplifying 2-qubit and 3-qubit circuits. We include with this paper software (written in Octave/Matlab) that checks many of the algorithms proposed in the paper.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 18:41:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Tucci", "Robert R.", "" ] ]
quant-ph/0606062
Kevin Moore
Kevin L. Moore, Subhadeep Gupta, Kater W. Murch, and Dan M. Stamper-Kurn
Probing the quantum state of a guided atom laser pulse
4 pages, 3 figures
null
10.1103/PhysRevLett.97.180410
null
quant-ph cond-mat.soft
null
We describe bichromatic superradiant pump-probe spectroscopy as a tomographic probe of the Wigner function of a dispersing particle beam. We employed this technique to characterize the quantum state of an ultracold atomic beam, derived from a Rb-87 Bose-Einstein condensate, as it propagated in a 2.5 mm diameter circular waveguide. Our measurements place an upper bound on the longitudinal phase-space area occupied by the 300,000 atom beam of 9(1) $\hbar$ and a lower bound on the coherence length (L > 13 microns). These results are consistent with full quantum degeneracy after multiple orbits around the waveguide.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 19:29:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Moore", "Kevin L.", "" ], [ "Gupta", "Subhadeep", "" ], [ "Murch", "Kater W.", "" ], [ "Stamper-Kurn", "Dan M.", "" ] ]
quant-ph/0606063
James Malley
James D. Malley
The Collapse of Bell Determinism
accepted for publication in Physics Letters A; expanded abstract; typos corrected
null
10.1016/j.physleta.2006.06.022
null
quant-ph
null
The Bell-Kochen-Specker conditions (BKS) for a deterministic noncontextual hidden-variable model are wonderfully simple to state, deal with just one-dimensional projectors on a Hilbert space H and make no reference to a probabilistic phase space or quantum system. They only ask for an assignment of zero or one to every projector such that the assignment respects orthogonal resolutions of the identity. Various no-go results in the literature show that the pair of statements {BKS is valid; dim H greater than or equal to 3} are inconsistent. Here we show, more radically, that the pair actually contradicts the dimensionality of the space itself, by implying that there can exist at most a single one-dimensional projector acting on H. Our derivation involves only elementary inner product spaces. It is non-probabilistic, inequality-free, state independent, does not use entanglement, and is simultaneously valid in all dimensions three or greater.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 20:28:07 GMT" }, { "version": "v2", "created": "Mon, 19 Jun 2006 18:57:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Malley", "James D.", "" ] ]
quant-ph/0606064
Robert Kosut
Robert L. Kosut, Matthew Grace, Constantin Brif, Herschel Rabitz
On the distance between unitary propagators of quantum systems of differing dimensions
8 pages
null
null
null
quant-ph
null
A distance measure is presented between two unitary propagators of quantum systems of differing dimensions along with a corresponding method of computation. A typical application is to compare the propagator of the actual (real) process with the propagator of the desired (ideal) process; the former being of a higher dimension then the latter. The proposed measure has the advantage of dealing with possibly correlated inputs, but at the expense of working on the whole space and not just the information bearing part as is usually the case, i.e., no partial trace operation is explicitly involved. It is also shown that the distance measure and an average measure of channel fidelity both depend on the size of the same matrix: as the matrix size increases, distance decreases and fidelity increases.
[ { "version": "v1", "created": "Wed, 7 Jun 2006 22:43:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Kosut", "Robert L.", "" ], [ "Grace", "Matthew", "" ], [ "Brif", "Constantin", "" ], [ "Rabitz", "Herschel", "" ] ]
quant-ph/0606065
David Feder
David L. Feder
Perfect quantum state transfer with spinor bosons on weighted graphs
4 pages, 2 figures, revtex
Phys. Rev. Lett. 97, 180502 (2006)
10.1103/PhysRevLett.97.180502
null
quant-ph cond-mat.other
null
A duality between the properties of many spinor bosons on a regular lattice and those of a single particle on a weighted graph reveals that a quantum particle can traverse an infinite hierarchy of networks with perfect probability in polynomial time, even as the number of nodes increases exponentially. The one-dimensional `quantum wire' and the hypercube are special cases in this construction, where the number of spin degrees of freedom is equal to one and the number of particles, respectively. An implementation of near-perfect quantum state transfer across a weighted parallelepiped with ultracold atoms in optical lattices is discussed.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 03:39:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Feder", "David L.", "" ] ]
quant-ph/0606066
Francois Le Gall
Francois Le Gall
Exponential Separation of Quantum and Classical Online Space Complexity
13 pages. v3: minor changes
Theory of Computing Systems 45(2): 188-202 (2009)
10.1007/s00224-007-9097-3
null
quant-ph cs.CC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Although quantum algorithms realizing an exponential time speed-up over the best known classical algorithms exist, no quantum algorithm is known performing computation using less space resources than classical algorithms. In this paper, we study, for the first time explicitly, space-bounded quantum algorithms for computational problems where the input is given not as a whole, but bit by bit. We show that there exist such problems that a quantum computer can solve using exponentially less work space than a classical computer. More precisely, we introduce a very natural and simple model of a space-bounded quantum online machine and prove an exponential separation of classical and quantum online space complexity, in the bounded-error setting and for a total language. The language we consider is inspired by a communication problem (the set intersection function) that Buhrman, Cleve and Wigderson used to show an almost quadratic separation of quantum and classical bounded-error communication complexity. We prove that, in the framework of online space complexity, the separation becomes exponential.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 04:27:30 GMT" }, { "version": "v2", "created": "Tue, 12 Dec 2006 08:16:34 GMT" }, { "version": "v3", "created": "Tue, 11 Nov 2008 06:35:49 GMT" } ]
2009-06-18T00:00:00
[ [ "Gall", "Francois Le", "" ] ]
quant-ph/0606067
Tamar Ravon
Tamar Ravon, Lev Vaidman
The Three-Box Paradox Revisited
13 pages, 4 figures
null
10.1088/1751-8113/40/11/021
null
quant-ph
null
The classical three-box paradox of Kirkpatrick [J. Phys. A 36 4891 (2003)] is compared to the original quantum Three-Box paradox of Aharonov and Vaidman [J. Phys. A 24 2315 (1991)]. It is argued that the quantum Three-Box experiment is a "quantum paradox" in the sense that it is an example of a classical task which cannot be accomplished using classical means, but can be accomplished using quantum devices. It is shown that Kirkpatrick's card game is analogous to a different game with a particle in three boxes which does not contain paradoxical features.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 07:46:23 GMT" }, { "version": "v2", "created": "Sun, 6 Aug 2006 16:24:07 GMT" } ]
2015-06-26T00:00:00
[ [ "Ravon", "Tamar", "" ], [ "Vaidman", "Lev", "" ] ]
quant-ph/0606068
Eric Charron
Eric Charron (PPM), Maurice Raoult (LAC)
Phase information revealed by interferences in the ionization of rotational wave packets
null
Physical Review A / Physical Review A (General Physics); Phys Rev A Gen Phys; Physical Review A (Atomic Molecular and Optical Physics) 74, 3 (15/09/2006) 033407
10.1103/PhysRevA.74.033407
null
quant-ph physics.chem-ph
null
Time-resolved photoelectron spectra are proposed for the measurement of classical information recorded in the quantum phases of a molecular rotational wave packet. Taking Li2 as a prototypical system, we show that an interference arises from the electron-nuclei entanglement induced by the molecular anisotropy. This phenomenon is used to transfer the information that was stored initially in the nuclear rotational degree of freedom into the electronic degree of freedom.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 10:00:28 GMT" }, { "version": "v2", "created": "Thu, 20 Jul 2006 11:56:08 GMT" }, { "version": "v3", "created": "Sat, 26 Aug 2006 07:47:43 GMT" } ]
2007-05-23T00:00:00
[ [ "Charron", "Eric", "", "PPM" ], [ "Raoult", "Maurice", "", "LAC" ] ]
quant-ph/0606069
Alexandre Matzkin
M Lombardi and A Matzkin
Dynamical entanglement and chaos: the case of Rydberg molecules
null
Phys. Rev. A 73, 062335 (2006)
10.1103/PhysRevA.73.062335
null
quant-ph
null
A Rydberg molecule is composed of an outer electron that collides on the residual ionic core. Typical states of Rydberg molecules display entanglement between the outer electron and the core. In this work we quantify the average entanglement of molecular eigenstates and further investigate the time evolution of entanglement production from initially unentangled states. The results are contrasted with the underlying classical dynamics, obtained from the semiclassical limit of the core-electron collision. Our findings indicate that entanglement is not simply correlated with the degree of classical chaos, but rather depends on the specific phase-space features that give rise to inelastic scattering. Hence mixed phase-space or even regular classical dynamics can be associated with high entanglement generation.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 10:10:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Lombardi", "M", "" ], [ "Matzkin", "A", "" ] ]
quant-ph/0606070
Frieder Kleefeld
F. Kleefeld (CFIF, IST, Lisbon, Portugal)
On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm
8 pages, no figures; correction of obvious typos and marginal improvement of formulations
Czech.J.Phys.56:999-1006,2006
10.1007/s10582-006-0395-9
FK-2006-3
quant-ph hep-ph hep-th
null
A simple derivation of a meaningful, manifestly covariant inner product for real Klein-Gordon (KG) fields with positive semi-definite norm is provided which turns out - assuming a symmetric bilinear form - to be the real-KG-field limit of the inner product for complex KG fields reviewed by A. Mostafazadeh and F. Zamani in December, 2003, and February, 2006 (quant-ph/0312078, quant-ph/0602151, quant-ph/0602161). It is explicitly shown that the positive semi-definite norm associated with the derived inner product for real KG fields measures the number of active positive and negative energy Fourier modes of the real KG field on the relativistic mass shell. The very existence of an inner product with positive semi-definite norm for the considered real, i.e. neutral, KG fields shows that the metric operator entering the inner product does not contain the charge-conjugation operator. This observation sheds some additional light on the meaning of the C operator in the CPT inner product of PT-symmetric Quantum Mechanics defined by C.M. Bender, D.C. Brody and H.F. Jones.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 10:56:40 GMT" }, { "version": "v2", "created": "Thu, 15 Jun 2006 18:30:52 GMT" } ]
2008-11-26T00:00:00
[ [ "Kleefeld", "F.", "", "CFIF, IST, Lisbon, Portugal" ] ]
quant-ph/0606071
Jens Siewert
Robert Lohmayer, Andreas Osterloh, Jens Siewert, Armin Uhlmann
Entangled three-qubit states without concurrence and three-tangle
10 RevTeX pages, 3 figures, abstract and conclusions substantially extended
Phys. Rev. Lett. 97, 260502 (2006)
10.1103/PhysRevLett.97.260502
null
quant-ph
null
We provide a complete analysis of mixed three-qubit states composed of a GHZ state and a W state orthogonal to the former. We present optimal decompositions and convex roofs for the three-tangle. Further, we provide an analytical method to decide whether or not an arbitrary rank-2 state of three qubits has vanishing three-tangle. These results highlight intriguing differences compared to the properties of two-qubit mixed states, and may serve as a quantitative reference for future studies of entanglement in multipartite mixed states. By studying the Coffman-Kundu-Wootters inequality we find that, while the amounts of inequivalent entanglement types strictly add up for pure states, this ``monogamy'' can be lifted for mixed states by virtue of vanishing tangle measures.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 12:10:48 GMT" }, { "version": "v2", "created": "Tue, 12 Sep 2006 16:48:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Lohmayer", "Robert", "" ], [ "Osterloh", "Andreas", "" ], [ "Siewert", "Jens", "" ], [ "Uhlmann", "Armin", "" ] ]
quant-ph/0606072
Ivan Marcikic
Ivan Marcikic, Antia Lamas-Linares and Christian Kurtsiefer
Free-space quantum key distribution with entangled photons
3 pages, 2 figures, reviewed version, accepted in Applied Physics Letters
Appl. Phys. Lett. 89, 101122 (2006)
10.1063/1.2348775
null
quant-ph
null
We report on a complete experimental implementation of a quantum key distribution protocol through a free space link using polarization-entangled photon pairs from a compact parametric down-conversion source. Over 10 hours of uninterrupted communication between sites 1.5 km apart, we observe average key generation rates of 630 per second after error correction and privacy amplification. Our scheme requires no specific hardware channel for synchronization apart from a classical wireless link, and no explicit random number generator.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 12:55:40 GMT" }, { "version": "v2", "created": "Thu, 3 Aug 2006 02:37:06 GMT" } ]
2007-05-23T00:00:00
[ [ "Marcikic", "Ivan", "" ], [ "Lamas-Linares", "Antia", "" ], [ "Kurtsiefer", "Christian", "" ] ]
quant-ph/0606073
Dirk Seidel
D. Seidel, J.G. Muga
Ramsey interferometry with oppositely detuned fields
6 pages, 6 figures
null
10.1103/PhysRevA.75.023811
null
quant-ph
null
We report a narrowing of the interference pattern obtained in an atomic Ramsey interferometer if the two separated fields have different frequency and their phase difference is controlled. The width of the Ramsey fringes depends inversely on the free flight time of ground state atoms before entering the first field region in addition to the time between the fields. The effect is stable also for atomic wavepackets with initial position and momentum distributions and for realistic mode functions.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 13:36:30 GMT" } ]
2013-05-29T00:00:00
[ [ "Seidel", "D.", "" ], [ "Muga", "J. G.", "" ] ]
quant-ph/0606074
Giuliano Benenti
Davide Rossini, Giuliano Benenti, Giulio Casati
Conservative chaotic map as a model of quantum many-body environment
8 pages, 4 figures
Phys. Rev. E 74, 036209 (2006)
10.1103/PhysRevE.74.036209
null
quant-ph cond-mat.stat-mech nlin.CD
null
We study the dynamics of the entanglement between two qubits coupled to a common chaotic environment, described by the quantum kicked rotator model. We show that the kicked rotator, which is a single-particle deterministic dynamical system, can reproduce the effects of a pure dephasing many-body bath. Indeed, in the semiclassical limit the interaction with the kicked rotator can be described as a random phase-kick, so that decoherence is induced in the two-qubit system. We also show that our model can efficiently simulate non-Markovian environments.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 15:09:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Rossini", "Davide", "" ], [ "Benenti", "Giuliano", "" ], [ "Casati", "Giulio", "" ] ]
quant-ph/0606075
Mehdi Mirzaee
M. A. Jafarizadeh, M.Mirzaee, M.Rezaee
Best separable approximation with semi-definite programming method
23 pages
null
null
null
quant-ph
null
The present methods for obtaining the optimal Lewenestein- Sanpera decomposition of a mixed state are difficult to handle analytically. We provide a simple analytical expression for the optimal Lewenstein-Sanpera decomposition by using semidefinite programming. Specially, we obtain the optimal Lewenstein-Sanpera decomposition for some examples such as: Bell decomposable state, Iso-concurrence state, generic two qubit state in Wootters's basis, $2\otimes 3$ Bell decomposable state, $d\otimes d$ Werner and isotropic states, a one parameter $3\otimes 3$ state and finally multi partite isotropic state.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 14:57:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Jafarizadeh", "M. A.", "" ], [ "Mirzaee", "M.", "" ], [ "Rezaee", "M.", "" ] ]
quant-ph/0606076
Jacob Sherson
Jacob F. Sherson and Klaus Molmer
Polarization squeezing by optical Faraday rotation
4 pages, 4 figures
Phys. Rev. Lett. 97, 143602 (2006)
10.1103/PhysRevLett.97.143602
null
quant-ph
null
We show that it is possible to generate continuous-wave fields and pulses of polarization squeezed light by sending classical, linearly polarized laser light twice through an atomic sample which causes an optical Faraday rotation of the field polarization. We characterize the performance of the process, and we show that an appreciable degree of squeezing can be obtained under realistic physical assumptions.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 15:09:31 GMT" } ]
2011-10-13T00:00:00
[ [ "Sherson", "Jacob F.", "" ], [ "Molmer", "Klaus", "" ] ]
quant-ph/0606077
Attila Nagy
Attila B. Nagy
On an implementation of the Solovay-Kitaev algorithm
10 pages, published on the 10th Rhine Workshop on Computer Algebra
null
null
null
quant-ph
null
In quantum computation we are given a finite set of gates and we have to perform a desired operation as a product of them. The corresponding computational problem is approximating an arbitrary unitary as a product in a topological generating set of $SU(d)$. The problem is known to be solvable in time $polylog(1/\epsilon)$ with product length $polylog(1/\epsilon)$, where the implicit constants depend on the given generators. The existing algorithms solve the problem but they need a very slow and space consuming preparatory stage. This stage runs in time exponential in $d^2$ and requires memory of size exponential in $d^2$. In this paper we present methods which make the implementation of the existing algorithms easier. We present heuristic methods which make a time-length trade-off in the preparatory step. We decrease the running time and the used memory to polynomial in $d$ but the length of the products approximating the desired operations will increase (by a factor which depends on $d$). We also present a simple method which can be used for decomposing a unitary into a product of group commutators for $2<d<256$, which is an important part of the existing algorithm.
[ { "version": "v1", "created": "Thu, 8 Jun 2006 16:09:58 GMT" } ]
2007-05-23T00:00:00
[ [ "Nagy", "Attila B.", "" ] ]
quant-ph/0606078
Robert Kosut
Robert L. Kosut and Daniel A. Lidar
Quantum Error Correction via Convex Optimization
16 pages
Quant. Inf. Proc. 8, 443 (2009)
10.1007/s11128-009-0120-2
null
quant-ph
null
We show that the problem of designing a quantum information error correcting procedure can be cast as a bi-convex optimization problem, iterating between encoding and recovery, each being a semidefinite program. For a given encoding operator the problem is convex in the recovery operator. For a given method of recovery, the problem is convex in the encoding scheme. This allows us to derive new codes that are locally optimal. We present examples of such codes that can handle errors which are too strong for codes derived by analogy to classical error correction techniques.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 06:40:14 GMT" } ]
2009-10-16T00:00:00
[ [ "Kosut", "Robert L.", "" ], [ "Lidar", "Daniel A.", "" ] ]
quant-ph/0606079
Kevin Birnbaum
K. M. Birnbaum, A. S. Parkins, H. J. Kimble
Cavity QED with Multiple Hyperfine Levels
6 pages, 10 figures
null
10.1103/PhysRevA.74.063802
null
quant-ph
null
We calculate the weak-driving transmission of a linearly polarized cavity mode strongly coupled to the D2 transition of a single Cesium atom. Results are relevant to future experiments with microtoroid cavities, where the single-photon Rabi frequency g exceeds the excited-state hyperfine splittings, and photonic bandgap resonators, where g is greater than both the excited- and ground-state splitting.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 02:13:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Birnbaum", "K. M.", "" ], [ "Parkins", "A. S.", "" ], [ "Kimble", "H. J.", "" ] ]
quant-ph/0606080
Hassan Safari
Hassan Safari, Stefan Yoshi Buhmann, Dirk-Gunnar Welsch, and Ho Trung Dung
Body-assisted van der Waals interaction between two atoms
17 pages, 9 figures
Physical Review A 74 (4), 042101 (2006)
10.1103/PhysRevA.74.042101
null
quant-ph
null
Using fourth-order perturbation theory, a general formula for the van der Waals potential of two neutral, unpolarized, ground-state atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is derived. The theory is applied to two atoms in bulk material and in front of a planar multilayer system, with special emphasis on the cases of a perfectly reflecting plate and a semi-infinite half space. It is demonstrated that the enhancement and reduction of the two-atom interaction due to the presence of a perfectly reflecting plate can be understood, at least in the nonretarded limit, by using the method of image charges. For the semi-infinite half space, both analytical and numerical results are presented.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 13:47:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Safari", "Hassan", "" ], [ "Buhmann", "Stefan Yoshi", "" ], [ "Welsch", "Dirk-Gunnar", "" ], [ "Dung", "Ho Trung", "" ] ]
quant-ph/0606081
Eyal Buks
Eyal Buks and Bernard Yurke
Mass Detection with Nonlinear Nanomechanical Resonator
null
null
10.1103/PhysRevE.74.046619
null
quant-ph cond-mat.mes-hall nlin.SI
null
Nanomechanical resonators having small mass, high resonance frequency and low damping rate are widely employed as mass detectors. We study the performances of such a detector when the resonator is driven into a region of nonlinear oscillations. We predict theoretically that in this region the system acts as a phase-sensitive mechanical amplifier. This behavior can be exploited to achieve noise squeezing in the output signal when homodyne detection is employed for readout. We show that mass sensitivity of the device in this region may exceed the upper bound imposed by thermomechanical noise upon the sensitivity when operating in the linear region. On the other hand, we show that the high mass sensitivity is accompanied by a slowing down of the response of the system to a change in the mass.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 10:35:59 GMT" }, { "version": "v2", "created": "Sun, 11 Jun 2006 07:03:30 GMT" }, { "version": "v3", "created": "Thu, 15 Jun 2006 07:44:48 GMT" }, { "version": "v4", "created": "Wed, 5 Jul 2006 07:31:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Buks", "Eyal", "" ], [ "Yurke", "Bernard", "" ] ]
quant-ph/0606082
Philipp Treutlein
Philipp Treutlein, Theodor W. H\"ansch, Jakob Reichel, Antonio Negretti, Markus A. Cirone, Tommaso Calarco
Microwave potentials and optimal control for robust quantum gates on an atom chip
14 pages, 7 figures, 1 table. Published version (minor changes)
Phys. Rev. A 74, 022312 (2006)
10.1103/PhysRevA.74.022312
null
quant-ph
null
We propose a two-qubit collisional phase gate that can be implemented with available atom chip technology, and present a detailed theoretical analysis of its performance. The gate is based on earlier phase gate schemes, but uses a qubit state pair with an experimentally demonstrated, very long coherence lifetime. Microwave near-fields play a key role in our implementation as a means to realize the state-dependent potentials required for conditional dynamics. Quantum control algorithms are used to optimize gate performance. We employ circuit configurations that can be built with current fabrication processes, and extensively discuss the impact of technical noise and imperfections that characterize an actual atom chip. We find an overall infidelity compatible with requirements for fault-tolerant quantum computation.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 10:48:11 GMT" }, { "version": "v2", "created": "Fri, 18 Aug 2006 18:18:26 GMT" } ]
2009-11-13T00:00:00
[ [ "Treutlein", "Philipp", "" ], [ "Hänsch", "Theodor W.", "" ], [ "Reichel", "Jakob", "" ], [ "Negretti", "Antonio", "" ], [ "Cirone", "Markus A.", "" ], [ "Calarco", "Tommaso", "" ] ]
quant-ph/0606083
Beatrix Hiesmayr C.
Bernhard Baumgartner, Beatrix C. Hiesmayr and Heide Narnhofer
The state space for two qutrits has a phase space structure in its core
3 figures
Phys. Rev. A 74, 032327 (2006)
10.1103/PhysRevA.74.032327
null
quant-ph
null
We investigate the state space of bipartite qutrits. For states which are locally maximally mixed we obtain an analog of the ``magic'' tetrahedron for bipartite qubits--a magic simplex W. This is obtained via the Weyl group which is a kind of ``quantization'' of classical phase space. We analyze how this simplex W is embedded in the whole state space of two qutrits and discuss symmetries and equivalences inside the simplex W. Because we are explicitly able to construct optimal entanglement witnesses we obtain the border between separable and entangled states. With our method we find also the total area of bound entangled states of the parameter subspace under intervestigation. Our considerations can also be applied to higher dimensions.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 11:00:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Baumgartner", "Bernhard", "" ], [ "Hiesmayr", "Beatrix C.", "" ], [ "Narnhofer", "Heide", "" ] ]
quant-ph/0606084
Travis Norsen
Travis Norsen
Counter-Factual Meaningfulness and the Bell and CHSH Inequalities
null
null
null
null
quant-ph
null
We discuss the role of counter-factual meaningfulness (a weaker cousin of "counter-factual definiteness") as a premise in the derivation of the Bell and CHSH inequalities. The basic question motivating the discussion is this: can the CHSH inequality, unlike the original Bell inequality, be derived without making a hidden-variables (or equivalent counter-factual definiteness) assumption? We answer, somewhat tentatively, in the negative, and suggest that an appropriately-modified version of the EPR argument is needed to rigorously establish that the empirical violation of Bell-type inequalities can only be blamed on the failure, in nature, of local causality.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 11:26:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Norsen", "Travis", "" ] ]
quant-ph/0606085
Mikael Lassen
Mikael Lassen (DTU, ACQAO), Vincent Delaubert (LKB - Jussieu, ACQAO), Charles C. Harb (ACQAO), Nicolas Treps (LKB - Jussieu), Ping Koy Lam (ACQAO), Hans A. Bachor (ACQAO)
Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier
7 pages, 4 figures
Journal of the European Optical Society - Rapid Publications 1, 06003 (2006)
10.2971/jeos.2006.06003
null
quant-ph
null
We demonstrate quantum correlations in the transverse plane of continuous wave light beams by producing -4.0 dB, -2.6 dB and -1.5 dB of squeezing in the TEM00, TEM10 and TEM20 Hermite- Gauss modes with an optical parametric amplifier, respectively. This has potential applications in quantum information networking, enabling parallel quantum information processing. We describe the setup for the generation of squeezing and analyze the effects of various experimental issues such as mode overlap between pump and seed and nonlinear losses.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 12:24:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Lassen", "Mikael", "", "DTU, ACQAO" ], [ "Delaubert", "Vincent", "", "LKB - Jussieu, ACQAO" ], [ "Harb", "Charles C.", "", "ACQAO" ], [ "Treps", "Nicolas", "", "LKB - Jussieu" ], [ "Lam", "Ping Koy", "", "ACQAO" ], [ "Bachor", "Hans A.", "", "ACQAO" ] ]
quant-ph/0606086
Luis Roa Oppliger
L. Roa, G. A. Olivares-Renteria, M. L. L. de Guevara, A. Delgado
Measurement-driven quantum evolution from a known state
null
null
null
null
quant-ph
null
We study the problem of driving a known initial quantum state onto a known pure state without using a unitary evolution. This task can be achieved by means of von Neumann measurement processes, introducing N observables which are consecutively measured in order to approach the state of the system to the target state. We proved that the probability of projecting onto the target state can be increased meaningfully by adding suitable observables to the process, that is, it converges to 1 when N increases. We also discuss a physical implementation of this scheme.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 12:29:59 GMT" }, { "version": "v2", "created": "Fri, 30 Jun 2006 15:47:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Roa", "L.", "" ], [ "Olivares-Renteria", "G. A.", "" ], [ "de Guevara", "M. L. L.", "" ], [ "Delgado", "A.", "" ] ]
quant-ph/0606087
Jaewoo Joo
Jaewoo Joo, P. L. Knight, and Jiannis K. Pachos
Single atom quantum walk with 1D optical superlattices
6 pages, 7 figures
null
10.1080/09500340601110584
null
quant-ph
null
A proposal for the implementation of quantum walks using cold atom technology is presented. It consists of one atom trapped in time varying optical superlattices. The required elements are presented in detail including the preparation procedure, the manipulation required for the quantum walk evolution and the final measurement. These procedures can be, in principle, implemented with present technology.
[ { "version": "v1", "created": "Fri, 9 Jun 2006 14:54:05 GMT" }, { "version": "v2", "created": "Sun, 11 Jun 2006 09:29:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Joo", "Jaewoo", "" ], [ "Knight", "P. L.", "" ], [ "Pachos", "Jiannis K.", "" ] ]