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quant-ph/0703217
Laurent Chusseau
Jacques Arnaud (CEM2), Laurent Chusseau (CEM2), Fabrice Philippe (LIRMM)
Semi-classical theory of quiet lasers. Short version
Submitted to European Journal of Physics
null
null
null
quant-ph
null
This article is the shorten version of quant-phys/0610106 with a supplemented theory and new results concerning a single-electron laser driven by a constant-potentiel battery. "Quiet (or sub-Poissonian) oscillators generate a number of dissipation events whose variance is less than the mean. It was shown in 1984 by Golubev and Sokolov that lasers driven by regular pumps are quiet in that sense. We consider in the present paper two oscillators that should exhibit in principle the same property. First, a reflex klystron, a vacuum tube operating in the microwave range of frequency. Second a laser involving a single electron permanently interacting with the field. It is unnecessary to quantize the optical field, that is, the theory is semi-classical, yet exact. As an example, the battery-driven one-electron laser delivers a detected noise of 7/8 of the shot-noise level, and is therefore sub-Poissonian. Our calculations are related to resonance-fluorescence treatments but with a different physical interpretation. Previous theories considering excited-state atoms regularly-injected in low-loss resonators, on the other hand, do require light quantization. The theory presented here is restricted to above-threshold stationary single-mode oscillators. The paper is written in such a way that readers should be able to follow it without having to refer to quantum-optics texts."
[ { "version": "v1", "created": "Fri, 23 Mar 2007 07:48:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Arnaud", "Jacques", "", "CEM2" ], [ "Chusseau", "Laurent", "", "CEM2" ], [ "Philippe", "Fabrice", "", "LIRMM" ] ]
quant-ph/0703218
Marcin Paw{\l}owski
Marcin Pawlowski
Comment on: Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables
1 page, no figures
null
null
null
quant-ph
null
We ''save'' Bell's Theorem by showing a flaw in Christian's argument.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 10:00:46 GMT" }, { "version": "v2", "created": "Sun, 25 Mar 2007 09:55:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Pawlowski", "Marcin", "" ] ]
quant-ph/0703219
Yunchung Na
Y.C. Neil Na, Shoko Utsunomiya, Lin Tian and Yoshihisa Yamamoto
Strongly Correlated Polaritons in a Two-Dimensional Array of Photonic Crystal Microcavities
14 pages, 5 figures
Phys. Rev. A 77, 031803(R) (2008)
10.1103/PhysRevA.77.031803
null
quant-ph cond-mat.other
null
We propose a practical scheme to observe the polaritonic quantum phase transition (QPT) from the superfluid (SF) to Bose-glass (BG) to Mott-insulator (MI) states. The system consists of a two-dimensional array of photonic crystal microcavities doped with substitutional donor/acceptor impurities. Using realistic parameters, we show that such strongly correlated polaritonic systems can be constructed using the state-of-art semiconductor technology.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 11:04:24 GMT" }, { "version": "v2", "created": "Mon, 26 Mar 2007 18:48:44 GMT" }, { "version": "v3", "created": "Wed, 4 Apr 2007 05:54:26 GMT" }, { "version": "v4", "created": "Fri, 12 Oct 2007 16:41:21 GMT" } ]
2013-05-29T00:00:00
[ [ "Na", "Y. C. Neil", "" ], [ "Utsunomiya", "Shoko", "" ], [ "Tian", "Lin", "" ], [ "Yamamoto", "Yoshihisa", "" ] ]
quant-ph/0703220
William E. Baylis
R. Cabrera, C. Rangan, W. E. Baylis
Overcoming the su(2^n) sufficient condition for the coherent control of n-qubit systems
13 pp., 2 figures
null
10.1103/PhysRevA.76.033401
null
quant-ph
null
We study quantum systems with even numbers N of levels that are completely state-controlled by unitary transformations generated by Lie algebras isomorphic to sp(N) of dimension N(N+1)/2. These Lie algebras are smaller than the respective su(N) with dimension N^2-1. We show that this reduction constrains the Hamiltonian to have symmetric energy levels. An example of such a system is an n-qubit system. Using a geometric representation for the quantum wave function of a finite system, we present an explicit example that shows a two-qubit system can be controlled by the elements of the Lie algebra sp(4) (isomorphic to spin(5) and so(5)) with dimension ten rather than su(4) with dimension fifteen. These results enable one to envision more efficient algorithms for the design of fields for quantum-state engineering, and they provide more insight into the fundamental structure of quantum control.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 13:58:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Cabrera", "R.", "" ], [ "Rangan", "C.", "" ], [ "Baylis", "W. E.", "" ] ]
quant-ph/0703221
Andr\'as Vukics
Andr\'as Vukics, Christoph Maschler, and Helmut Ritsch
Microscopic physics of quantum self-organisation of optical lattices in cavities
14 pages 6 figures
New J. Phys. 9 (2007) 255
10.1088/1367-2630/9/8/255
null
quant-ph
null
We study quantum particles at zero temperature in an optical lattice coupled to a resonant cavity mode. The cavity field substantially modifies the particle dynamics in the lattice, and for strong particle-field coupling leads to a quantum phase with only every second site occupied. We study the growth of this new order out of a homogeneous initial distribution for few particles as the microscopic physics underlying a quantum phase transition. Simulations reveal that the growth dynamics crucially depends on the initial quantum many-body state of the particles and can be monitored via the cavity fluorescence. Studying the relaxation time of the ordering reveals inhibited tunnelling, which indicates that the effective mass of the particles is increased by the interaction with the cavity field. However, the relaxation becomes very quick for large coupling.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 14:04:53 GMT" }, { "version": "v2", "created": "Mon, 26 Mar 2007 10:10:33 GMT" } ]
2007-09-04T00:00:00
[ [ "Vukics", "András", "" ], [ "Maschler", "Christoph", "" ], [ "Ritsch", "Helmut", "" ] ]
quant-ph/0703222
Riccardo Franco
R. Franco
Quantum mechanics, Bayes' theorem and the conjunction fallacy
11 pages
null
null
null
quant-ph
null
In the present article we consider the conjunction fallacy, a well known cognitive heuristic experimentally tested in cognitive science, which occurs for intuitive judgments in situations of bounded rationality. We show that the quantum formalism can be used to describe in a very simple way this fallacy in terms of interference effect. We evidence that the quantum formalism leads quite naturally to violations of Bayes' rule when considering the probability of the conjunction of two events. Thus we suggest that in cognitive science the formalism of quantum mechanics can be used to describe a \textit{quantum regime}, the bounded-rationality regime, where the cognitive heuristics are valid.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 14:32:20 GMT" }, { "version": "v2", "created": "Thu, 17 May 2007 07:01:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Franco", "R.", "" ] ]
quant-ph/0703223
Renato Portugal
Carlos Magno M. Cosme and Renato Portugal
Quantum algorithm for the hidden subgroup problem on a class of semidirect product groups
5 pages, no figures
null
null
null
quant-ph
null
We present efficient quantum algorithms for the hidden subgroup problem (HSP) on the semidirect product of cyclic groups $\Z_{p^r}\rtimes_{\phi}\Z_{p^2}$, where $p$ is any odd prime number and $r$ is any integer such that $r>4$. We also address the HSP in the group $\Z_{N}\rtimes_{\phi}\Z_{p^2}$, where $N$ is an integer with a special prime factorization. These quantum algorithms are exponentially faster than any classical algorithm for the same purpose.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 16:55:58 GMT" }, { "version": "v2", "created": "Mon, 23 Apr 2007 14:39:02 GMT" } ]
2007-05-23T00:00:00
[ [ "Cosme", "Carlos Magno M.", "" ], [ "Portugal", "Renato", "" ] ]
quant-ph/0703224
B. M. Garraway
B.J.Dalton and B.M.Garraway
Cascade atom in high-Q cavity: The spectrum for non-Markovian decay
29 pages, 14 figures; v2: very minor correction to two equations, thicker lines in some figures
J. Mod. Opt. 54, 2049 (2007).
10.1080/09500340701352557
null
quant-ph
null
The spontaneous emission spectrum for a three level cascade configuration atom in a single mode high-Q cavity coupled to a zero temperature reservoir of continuum external modes is determined from the atom-cavity mode master equation using the quantum regression theorem. Initially the atom is in its upper state and the cavity mode empty of photons. Following Glauber, the spectrum is defined via the response of a detector atom. Spectra are calculated for the detector located inside the cavity (case A), outside the cavity end mirror (Case B-end emission), or placed for emission out the side of the cavity (Case C). The spectra for case A and case B are found to be essentially the same. In all the cases the predicted lineshapes are free of instrumental effects and only due to cavity decay. Spectra are presented for intermediate and strong coupling regime situations (where both atomic transitions are resonant with the cavity frequency), for cases of non-zero cavity detuning, and for cases where the two atomic transition frequencies differ. The spectral features for Cases B(A) and C are qualitatively similar, with six spectral peaks for resonance cases and eight for detuned cases. These general features of the spectra can be understood via the dressed atom model. However, Case B and C spectra differ in detail, with the latter exhibiting a deep spectral hole at the cavity frequency due to quantum interference effects.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 18:29:06 GMT" }, { "version": "v2", "created": "Sun, 8 Jul 2007 08:13:11 GMT" } ]
2017-08-23T00:00:00
[ [ "Dalton", "B. J.", "" ], [ "Garraway", "B. M.", "" ] ]
quant-ph/0703225
Jens Eisert
J. Eisert, T. Tyc, T. Rudolph, B.C. Sanders
Gaussian quantum marginal problem
18 pages, 1 figure, material added, references updated, except from figure identical with version to appear in Commun. Math. Phys
Commun. Math. Phys. 280, 263 (2008)
10.1007/s00220-008-0442-4
null
quant-ph math-ph math.MP
null
The quantum marginal problem asks what local spectra are consistent with a given spectrum of a joint state of a composite quantum system. This setting, also referred to as the question of the compatibility of local spectra, has several applications in quantum information theory. Here, we introduce the analogue of this statement for Gaussian states for any number of modes, and solve it in generality, for pure and mixed states, both concerning necessary and sufficient conditions. Formally, our result can be viewed as an analogue of the Sing-Thompson Theorem (respectively Horn's Lemma), characterizing the relationship between main diagonal elements and singular values of a complex matrix: We find necessary and sufficient conditions for vectors (d1, ..., dn) and (c1, ..., cn) to be the symplectic eigenvalues and symplectic main diagonal elements of a strictly positive real matrix, respectively. More physically speaking, this result determines what local temperatures or entropies are consistent with a pure or mixed Gaussian state of several modes. We find that this result implies a solution to the problem of sharing of entanglement in pure Gaussian states and allows for estimating the global entropy of non-Gaussian states based on local measurements. Implications to the actual preparation of multi-mode continuous-variable entangled states are discussed. We compare the findings with the marginal problem for qubits, the solution of which for pure states has a strikingly similar and in fact simple form.
[ { "version": "v1", "created": "Sun, 25 Mar 2007 11:15:53 GMT" }, { "version": "v2", "created": "Fri, 20 Jul 2007 10:13:36 GMT" } ]
2008-11-22T00:00:00
[ [ "Eisert", "J.", "" ], [ "Tyc", "T.", "" ], [ "Rudolph", "T.", "" ], [ "Sanders", "B. C.", "" ] ]
quant-ph/0703226
Gordon N. Fleming
Gordon N. Fleming
Correlation coefficients and the Robertson-Schroedinger uncertainty relations
15 pages, 1 figure
null
null
PSU/TH/254
quant-ph
null
Calling the quantity; 2delta(A)delta(B)/|<[A, B]>|, with non-zero denominator, the uncertainty product ratio or UPR for the pair of observables, (A, B), it is shown that any non-zero correlation coefficient between two observables raises, above unity, the lower bound of the UPR for each member of an infinite collection of pairs of incompatible observables. Conversely, any UPR is subject to lower bounds above unity determined by each of an infinite collection of correlation coefficients. This result generalizes the well known Schroedinger strengthening of the Robertson uncertainty relations (with the former expressed in terms of the correlation coefficient rather than the anticommutator) where the UPR and the correlation coefficient both involve the same pair of observables. Two, independent, derivations of the result are presented to clarify its origins and some examples of its use are examined.
[ { "version": "v1", "created": "Fri, 23 Mar 2007 20:42:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Fleming", "Gordon N.", "" ] ]
quant-ph/0703227
Dagomir Kaszlikowski
Anushya Chandran, Dagomir Kaszlikowski, Aditi Sen De, Ujjwal Sen, and Vlatko Vedral
Regional versus Global Entanglement in Resonating-Valence-Bond states
4 pages, no figures, RevTeX4; v2: improved result in the multiparty case, presentation improved (5 pages, one figure); v3: further changes in presentation, results unchanged, published version
Phys. Rev. Lett. 99, 170502 (2007)
10.1103/PhysRevLett.99.170502
null
quant-ph cond-mat.str-el
null
We investigate the entanglement properties of resonating-valence-bond states on two and higher dimensional lattices, which play a significant role in our understanding of various many-body systems. We show that these states are genuinely multipartite entangled, while there is only a negligible amount of two-site entanglement. We comment on possible physical implications of our findings.
[ { "version": "v1", "created": "Sat, 24 Mar 2007 01:00:13 GMT" }, { "version": "v2", "created": "Mon, 30 Apr 2007 13:07:50 GMT" }, { "version": "v3", "created": "Fri, 4 Jan 2008 17:15:20 GMT" } ]
2009-10-20T00:00:00
[ [ "Chandran", "Anushya", "" ], [ "Kaszlikowski", "Dagomir", "" ], [ "De", "Aditi Sen", "" ], [ "Sen", "Ujjwal", "" ], [ "Vedral", "Vlatko", "" ] ]
quant-ph/0703228
Jianming Cai
Jian-Ming Cai, Zheng-Wei Zhou, Ye-Fei Yuan, Guang-Can Guo
Quantum Decoherence Modulated by Special Relativity
null
Phys. Rev. A 76, 042101 (2007)
10.1103/PhysRevA.76.042101
null
quant-ph
null
By investigating the evolution of a moving spin-1/2 Dirac electron coupled with a background magnetic noise, we demonstrate that the effects of special relativity will significantly modify the decoherence properties of the spin state. The dephasing could be much suppressed, and for a sufficiently long time the decoherence even seems to halt. This interesting phenomenon stems from the dressed environment induced by special relativity.
[ { "version": "v1", "created": "Sat, 24 Mar 2007 07:52:23 GMT" }, { "version": "v2", "created": "Wed, 3 Oct 2007 11:40:09 GMT" } ]
2007-10-03T00:00:00
[ [ "Cai", "Jian-Ming", "" ], [ "Zhou", "Zheng-Wei", "" ], [ "Yuan", "Ye-Fei", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0703229
Paulo Maia Neto
Robson B. Rodrigues, Paulo A. Maia Neto, Astrid Lambrecht and Serge Reynaud
The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
10 pages, 7 figures. Accepted version with minor amendments. To appear in Physical Review A
Phys. Rev. A 75, 062108 (2007)
10.1103/PhysRevA.75.062108
null
quant-ph hep-th
null
The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the Proximity Force Approximation (PFA). Quantitative evaluations can be obtained by using scattering theory in a perturbative expansion valid when the corrugation amplitudes are smaller than the three other length scales: the mean separation distance $L$ of the plates, the corrugation period $\lambda_\C$ and the plasma wavelength $\lambda_\P$. Within this perturbative expansion, evaluations are obtained for arbitrary relative values of $L$, $\lambda_\C$ and $\lambda_\P$ while limiting cases, some of them already known, are recovered when these values obey some specific orderings. The consequence of these results for comparison with existing experiments is discussed in the end of the paper.
[ { "version": "v1", "created": "Sat, 24 Mar 2007 11:32:20 GMT" }, { "version": "v2", "created": "Fri, 20 Apr 2007 13:50:02 GMT" } ]
2007-06-18T00:00:00
[ [ "Rodrigues", "Robson B.", "" ], [ "Neto", "Paulo A. Maia", "" ], [ "Lambrecht", "Astrid", "" ], [ "Reynaud", "Serge", "" ] ]
quant-ph/0703230
Panos Aliferis
Panos Aliferis
Level Reduction and the Quantum Threshold Theorem
125 pages, Ph.D. thesis, Caltech, 2007; pdf file fixed
null
null
CALT-68-2641
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The quantum threshold theorem shows that a noisy quantum computer can accurately and efficiently simulate any ideal quantum computation provided that noise is weakly correlated and its strength is below a critical value known as the quantum accuracy threshold. This thesis provides a simpler and more transparent non-inductive proof of this theorem based on the concept of level reduction. This concept is also used in proving the quantum threshold theorem for coherent and leakage noise and for quantum computation by measurements. In addition, the proof provides a methodology which allows us to establish improved rigorous lower bounds on the value of the quantum accuracy threshold.
[ { "version": "v1", "created": "Sun, 25 Mar 2007 22:43:01 GMT" }, { "version": "v2", "created": "Mon, 11 Jul 2011 20:04:49 GMT" } ]
2011-07-13T00:00:00
[ [ "Aliferis", "Panos", "" ] ]
quant-ph/0703231
Avinatan Hassidim
M. Ben-Or, Avinatan Hassidim
Quantum Search in an Ordered List via Adaptive Learning
10 pages no figures
null
null
null
quant-ph
null
We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: 1. Each comparison can be erroneous with some probability $1 - p$. 2. At each stage $k$ comparisons can be performed in parallel and a noisy answer is returned We present a (classic) algorithm which optimally solves both variants together, up to an additive term of O(\log \log(n)), and prove matching information theoretic lower bounds. We use the algorithm to improve the results of Farhi et al \cite{FGGS99} presenting a quantum (error free) search algorithm in an ordered list of expected complexity less than (\log_2n) / 3.
[ { "version": "v1", "created": "Sat, 24 Mar 2007 21:34:56 GMT" }, { "version": "v2", "created": "Fri, 9 Nov 2007 11:00:48 GMT" } ]
2011-11-09T00:00:00
[ [ "Ben-Or", "M.", "" ], [ "Hassidim", "Avinatan", "" ] ]
quant-ph/0703232
Italo Vecchi
Italo Vecchi
Electrino bubbles and relational entanglement
Corrected typos, improved presentation
null
null
null
quant-ph
null
We argue that the phenomena exhibited by bubbles forming around free electrons in liquid helium and examined by Maris in his controversial 2000 paper point to the experimental relevance of relational entanglement. An experiment to verify/disprove the relevant argument is suggested.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 13:03:02 GMT" }, { "version": "v2", "created": "Sun, 19 Aug 2007 20:27:39 GMT" } ]
2007-08-19T00:00:00
[ [ "Vecchi", "Italo", "" ] ]
quant-ph/0703233
Xian-Ting Liang
Xian-Ting Liang
Decoherence and relaxation of a qubit coupled to an Ohmic bath directly and via an intermediate harmonic oscillator
9 pages, 6 figures
Chem. Phys. Lett. 449 (2007) 296-303
10.1016/j.cplett.2007.10.074
null
quant-ph
null
Using the numerical path integral method we investigate the decoherence and relaxation of qubits coupled to an Ohmic bath directly and via an intermediate harmonic oscillator (IHO). Here, we suppose the oscillation frequencies of the bath modes are higher than the IHO's. When we choose suitable parameters the qubits in the two models may have almost same decoherence and relaxation times. However, the decoherence and relaxation times of the qubit in the qubit-IHO-bath model can be modulated through changing the coupling coefficients of the qubit-IHO and IHO-bath and the oscillation frequency of the IHO.
[ { "version": "v1", "created": "Sun, 25 Mar 2007 14:25:49 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 08:53:00 GMT" }, { "version": "v3", "created": "Tue, 4 Dec 2007 08:09:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Liang", "Xian-Ting", "" ] ]
quant-ph/0703234
Cem Yuce
C. Yuce, A. Kilic and A. Coruh
Inverted Oscillator
4 pages
Phys. Scr. 74 114 (2006)
10.1088/0031-8949/74/1/014
null
quant-ph
null
The inverted harmonic oscillator problem is investigated quantum mechanically. The exact wave function for the confined inverted oscillator is obtained and it is shown that the associated energy eigenvalues are discrete and it is given as a linear function of the quantum number $n$.
[ { "version": "v1", "created": "Sun, 25 Mar 2007 18:14:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Yuce", "C.", "" ], [ "Kilic", "A.", "" ], [ "Coruh", "A.", "" ] ]
quant-ph/0703235
Cem Yuce
C. Yuce
Complex Spectrum of a Spontaneously Unbroken PT Symmetric Hamiltonian
4 pages, no figures
null
null
null
quant-ph
null
It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermitian Hamiltonian is real. We prove that this is not true. We study a Hamiltonian with complex spectrum for which PT symmetry is not spontaneously broken.
[ { "version": "v1", "created": "Sun, 25 Mar 2007 15:13:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Yuce", "C.", "" ] ]
quant-ph/0703236
Simone Severini
Nitin Saxena, Simone Severini, Igor Shparlinski
Parameters of Integral Circulant Graphs and Periodic Quantum Dynamics
12 pages
null
null
null
quant-ph
null
The intention of the paper is to move a step towards a classification of network topologies that exhibit periodic quantum dynamics. We show that the evolution of a quantum system, whose hamiltonian is identical to the adjacency matrix of a circulant graph, is periodic if and only if all eigenvalues of the graph are integers (that is, the graph is integral). Motivated by this observation, we focus on relevant properties of integral circulant graphs. Specifically, we bound the number of vertices of integral circulant graphs in terms of their degree, characterize bipartiteness and give exact bounds for their diameter. Additionally, we prove that circulant graphs with odd order do not allow perfect state transfer.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 09:37:12 GMT" } ]
2007-05-23T00:00:00
[ [ "Saxena", "Nitin", "" ], [ "Severini", "Simone", "" ], [ "Shparlinski", "Igor", "" ] ]
quant-ph/0703237
Robert Spalek
Robert Spalek (UC Berkeley)
The Multiplicative Quantum Adversary
15 pages, v2: removed an incorrect claim, v3: cleaned up, commented better, added stronger bound for OR
null
null
null
quant-ph
null
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on the quantum query complexity of a function by bounding the change of a progress function caused by one query. All previous variants upper-bound the_difference_ of the progress function, whereas our new variant upper-bounds the_ratio_ and that is why we coin it the multiplicative adversary. The new method generalizes to all functions the new quantum lower-bound method by Ambainis [Amb05, ASW06] based on the analysis of eigenspaces of the density matrix. We prove a strong direct product theorem for all functions that have a multiplicative adversary lower bound.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 19:08:19 GMT" }, { "version": "v2", "created": "Wed, 28 Mar 2007 19:42:39 GMT" }, { "version": "v3", "created": "Wed, 25 Apr 2007 20:45:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Spalek", "Robert", "", "UC Berkeley" ] ]
quant-ph/0703238
Peter Rohde
Peter P Rohde
Improving the fidelity of single photon preparation from conditional down-conversion via asymmetric multiport detection
2 pages
null
null
null
quant-ph
null
We discuss the conditional preparation of single photons via parametric down-conversion. This technique is commonly used as a single photon source in modern quantum optics experiments. A significant problem facing this technique is the inability of present day photo-detectors to resolve photon number. This results in mixing with higher photon number terms. To overcome this several techniques have been proposed, including multi-port detection and time-division multiplexing. These techniques help approximate number resolving detection even when using non-number resolving detectors. In this paper we focus on 2-port detection, the simplest such scheme. We show that by making the 2-port device asymmetric the fidelity of prepared photons can be improved.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 01:00:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Rohde", "Peter P", "" ] ]
quant-ph/0703239
Xiao-Jie Hao
Guo-Ping Guo, Xiao-Jie Hao, Tao Tu, Zhi-Cheng Zhu, and Guang-Can Guo
Eliminating interactions between non-neighboring qubits in the preparation of cluster states in quantum molecules
5 pages, 4 figures, 2 tables
European Journal of Physics B, 61, 141-146 (2008)
10.1140/epjb/e2008-00053-9
null
quant-ph
null
We propose a scheme to eliminate the effect of non-nearest-neighbor qubits in preparing cluster state with double-dot molecules. As the interaction Hamiltonians between qubits are Ising-model and mutually commute, we can get positive and negative effective interactions between qubits to cancel the effect of non-nearest-neighbor qubits by properly changing the electron charge states of each quantum dot molecule. The total time for the present multi-step cluster state preparation scheme is only doubled for one-dimensional qubit chain and tripled for two-dimensional qubit array comparing with the time of previous protocol leaving out the non-nearest-neighbor interactions.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 01:26:08 GMT" }, { "version": "v2", "created": "Thu, 24 Apr 2008 08:34:08 GMT" } ]
2008-04-24T00:00:00
[ [ "Guo", "Guo-Ping", "" ], [ "Hao", "Xiao-Jie", "" ], [ "Tu", "Tao", "" ], [ "Zhu", "Zhi-Cheng", "" ], [ "Guo", "Guang-Can", "" ] ]
quant-ph/0703240
Hermann Kampermann
R.G. Unanyan, H. Kampermann, D. Bruss
A Decomposition of Separable Werner States
7 pages, 1 figures
J. Phys. A, 40: F483 (2007)
10.1088/1751-8113/40/24/F07
null
quant-ph
null
We derive an integral convex combination of product states for a range of separable Werner states. Our method consists of expanding the sought-after local density operators in terms of Wigner operators. For dimension d=2, our decomposition holds for the whole separable range of Werner states, while for d>2 it is valid for a subset of separable Werner states. We illustrate the general method with the explicit examples d=2 and d=3.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 11:36:38 GMT" } ]
2008-09-03T00:00:00
[ [ "Unanyan", "R. G.", "" ], [ "Kampermann", "H.", "" ], [ "Bruss", "D.", "" ] ]
quant-ph/0703241
Aloisio Vaglica
A. Vaglica and G. Vetri
Irreversible decay of nonlocal entanglement via a reservoir of a single degree of freedom
6 pages, 4 figures, improved presentation, v2: title changed, references added, accepted for publication in Phys. Rev. A (Fundamental concepts)
null
10.1103/PhysRevA.75.062120
null
quant-ph
null
Recently, it has been realized that nonlocal disentanglement may take a finite time as opposite to the asymptotic decay of local coherences. We find in this paper that a sudden irreversible death of entanglement takes place in a two atom optical Stern-Gerlach model. In particular, the one degree non dissipative environment here considered suddenly destroys the initial entanglement of any Bell's states $\ket{\phi^{\pm}}$ superposition.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 12:09:50 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 13:58:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Vaglica", "A.", "" ], [ "Vetri", "G.", "" ] ]
quant-ph/0703242
Martin Ostermeyer
Martin Ostermeyer, Nino Walenta
On the implementation of a deterministic secure coding protocol using polarization entangled photons
12 pages, 2 figures
Optics Communications 281 4540 - 4544 (2008)
10.1016/j.optcom.2008.04.068
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate a prototype-implementation of deterministic information encoding for quantum key distribution (QKD) following the ping-pong coding protocol [K. Bostroem, T. Felbinger, Phys. Rev. Lett. 89 (2002) 187902-1]. Due to the deterministic nature of this protocol the need for post-processing the key is distinctly reduced compared to non-deterministic protocols. In the course of our implementation we analyze the practicability of the protocol and discuss some security aspects of information transfer in such a deterministic scheme.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 12:17:41 GMT" }, { "version": "v2", "created": "Mon, 21 Jul 2008 08:54:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Ostermeyer", "Martin", "" ], [ "Walenta", "Nino", "" ] ]
quant-ph/0703243
Jan Naudts
Jan Naudts and Tobias Verhulst
Ensemble averaged entanglement of two-particle states in Fock space
19 pages Latex, changed title, references added in the conclusions
null
10.1103/PhysRevA.75.062104
null
quant-ph
null
Recent results, extending the Schmidt decomposition theorem to wavefunctions of identical particles, are reviewed. They are used to give a definition of reduced density operators in the case of two identical particles. Next, a method is discussed to calculate time averaged entanglement. It is applied to a pair of identical electrons in an otherwise empty band of the Hubbard model, and to a pair of bosons in the the Bose-Hubbard model with infinite range hopping. The effect of degeneracy of the spectrum of the Hamiltonian on the average entanglement is emphasised.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 14:23:44 GMT" }, { "version": "v2", "created": "Tue, 3 Apr 2007 08:14:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Naudts", "Jan", "" ], [ "Verhulst", "Tobias", "" ] ]
quant-ph/0703244
Joy Christian
Joy Christian (Perimeter and Oxford)
Disproof of Bell's Theorem: Reply to Critics
12 pages; One more response added: See also arXiv:quant-ph/0703179 and arXiv:0707.1333
null
null
null
quant-ph
null
This is a collection of my responses to the criticisms of my argument against the impossibility proof of John Bell, which aims to undermine any conceivable local realistic completion of quantum mechanics. I plan to periodically update this preprint instead of creating a new one for each response.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 19:15:54 GMT" }, { "version": "v10", "created": "Wed, 19 Dec 2007 23:42:42 GMT" }, { "version": "v11", "created": "Tue, 1 Jan 2008 09:13:27 GMT" }, { "version": "v12", "created": "Thu, 3 Jan 2008 17:25:07 GMT" }, { "version": "v2", "created": "Mon, 2 Apr 2007 13:16:01 GMT" }, { "version": "v3", "created": "Thu, 12 Jul 2007 19:06:05 GMT" }, { "version": "v4", "created": "Wed, 18 Jul 2007 19:15:18 GMT" }, { "version": "v5", "created": "Wed, 15 Aug 2007 19:10:17 GMT" }, { "version": "v6", "created": "Mon, 20 Aug 2007 18:52:10 GMT" }, { "version": "v7", "created": "Thu, 13 Dec 2007 10:29:12 GMT" }, { "version": "v8", "created": "Fri, 14 Dec 2007 20:44:38 GMT" }, { "version": "v9", "created": "Mon, 17 Dec 2007 21:19:46 GMT" } ]
2008-01-03T00:00:00
[ [ "Christian", "Joy", "", "Perimeter and Oxford" ] ]
quant-ph/0703245
Farrukh Mukhamedov M.
Nasir Ganikhodjaev, Farrukh Mukhamedov
On Entropy Transmission for Quantum Channels
11 pages. Applied Math. & Inform. Sciences (in accepted)
Appl. Math. & Inform. Sci} 1 (2007), 3, 12 pages
null
null
quant-ph
null
In this paper a notion of entropy transmission of quantum channels is introduced as a natural extension of Ohya's entropy. Here by quantum channel is meant unital completely positive mappings (ucp) of $B(H)$ into itself, where $H$ is an infinite dimensional Hilbert space. Using a representation theorem of ucp mapping we associate to every ucp map a uniquely determined state, and prove that entropy of ucp map is less then Ohya's entropy of the associated state.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 17:28:59 GMT" }, { "version": "v2", "created": "Thu, 31 May 2007 16:36:04 GMT" } ]
2007-11-21T00:00:00
[ [ "Ganikhodjaev", "Nasir", "" ], [ "Mukhamedov", "Farrukh", "" ] ]
quant-ph/0703246
Gilad Gour
Gilad Gour
How many ebits can be unlocked with one classical bit?
3 pages, Brief Report, Comments are Welcome
Physical Review A 75, 054301 (2007).
10.1103/PhysRevA.75.054301
null
quant-ph
null
We find an upper bound on the rate at which entanglement can be unlocked by classical bits. In particular, we show that for quantum information sources that are specified by ensambles of pure bipartite states, one classical bit can unlock at most one ebit.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 18:17:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Gour", "Gilad", "" ] ]
quant-ph/0703247
Hui Jing
H. Jing, J. Cheng, and P. Meystre
Coherent atom-trimer conversion in a repulsive Bose-Einstein condensate
3 figures
null
10.1103/PhysRevLett.99.133002
null
quant-ph
null
We show that the use of a generalized atom-molecule dark state permits the enhanced coherent creation of triatomic molecules in a repulsive atomic Bose-Einstein condensate, with further enhancement being possible in the case of heteronuclear trimers via the constructive interference between two chemical reaction channels.
[ { "version": "v1", "created": "Mon, 26 Mar 2007 20:41:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Jing", "H.", "" ], [ "Cheng", "J.", "" ], [ "Meystre", "P.", "" ] ]
quant-ph/0703248
Lev Kaplan
S. A. Fulling, L. Kaplan, and J. H. Wilson
Vacuum Energy and Repulsive Casimir Forces in Quantum Star Graphs
7 pages, 5 figures; REVTeX
Phys. Rev. A 76, 012118 (2007)
10.1103/PhysRevA.76.012118
null
quant-ph nlin.CD
null
Casimir pistons are models in which finite Casimir forces can be calculated without any suspect renormalizations. It has been suggested that such forces are always attractive, but we present several counterexamples, notably a simple type of quantum graph in which the sign of the force depends upon the number of edges. We also show that Casimir forces in quantum graphs can be reliably computed by summing over the classical orbits, and study the rate of convergence of the periodic orbit expansion. In generic situations where no analytic expression is available, the sign and approximate magnitude of Casimir forces can often be obtained using only the shortest classical orbits.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 02:07:25 GMT" } ]
2008-02-18T00:00:00
[ [ "Fulling", "S. A.", "" ], [ "Kaplan", "L.", "" ], [ "Wilson", "J. H.", "" ] ]
quant-ph/0703249
Isabel Sainz
Isabel Sainz Abascal and Gunnar Bj\"ork
Bipartite entanglement measure based on covariances
We have changed a preprint reference for the correspondent published
Phys. Rev. A 75, 062317 (2007)
null
null
quant-ph
null
We propose an entanglement measure for two qudits based on the covariances of a set of generators of the su(N) algebra. In particular, we represent this measure in terms of the mutually unbiased projectors for N prime. For pure states this measure quantify entanglement, we obtain an explicit expression which relates it to the concurrence hierarchy, specifically the I-concurrence and the 3-concurrence. For mixed states we propose a separability criterion.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 08:30:15 GMT" }, { "version": "v2", "created": "Tue, 17 Apr 2007 11:41:53 GMT" }, { "version": "v3", "created": "Mon, 18 Jun 2007 09:52:03 GMT" } ]
2007-06-18T00:00:00
[ [ "Abascal", "Isabel Sainz", "" ], [ "Björk", "Gunnar", "" ] ]
quant-ph/0703250
Rustem Shakhmuratov
R. N. Shakhmuratov, A. A. Kalachev, and J. Odeurs
Instantaneous processing of "slow light": amplitude-duration control, storage, and splitting
9 pages, 1 figure, submitted to PRL on 18, December, 2006
null
10.1103/PhysRevA.76.031802
null
quant-ph
null
Nonadiabatic change of the control field or of the low-frequency coherence allows for an almost instantaneous change of the signal field propagating in a thick resonant absorber where electromagnetically induced transparency is realized. This finding is applied for the storage and retrieval of the signal, for the creation of a signal copy and separation of this copy from the original pulse without its destruction.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 13:14:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Shakhmuratov", "R. N.", "" ], [ "Kalachev", "A. A.", "" ], [ "Odeurs", "J.", "" ] ]
quant-ph/0703251
Alexandre Matzkin
A. Matzkin
Classical statistical distributions can violate Bell-type inequalities
v3: Extended version. To be published in J. Phys. A
J. Phys. A: Math. Theor. 41, 085303, 2008.
10.1088/1751-8113/41/8/085303
null
quant-ph
null
We investigate two-particle phase-space distributions in classical mechanics characterized by a well-defined value of the total angular momentum. We construct phase-space averages of observables related to the projection of the particles' angular momenta along axes with different orientations. It is shown that for certain observables, the correlation function violates Bell's inequality. The key to the violation resides in choosing observables impeding the realization of the counterfactual event that plays a prominent role in the derivation of the inequalities. This situation can have statistical (detection related) or dynamical (interaction related) underpinnings, but non-locality does not play any role.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 17:03:36 GMT" }, { "version": "v2", "created": "Mon, 9 Apr 2007 10:17:15 GMT" }, { "version": "v3", "created": "Fri, 18 Jan 2008 11:34:04 GMT" } ]
2008-02-12T00:00:00
[ [ "Matzkin", "A.", "" ] ]
quant-ph/0703252
Qin Wang
Qin Wang, Xiang-Bin Wang, Gunnar Bjork, Anders Karlsson
Improved practical decoy state method in quantum key distribution with parametric down conversion source
8 pages, 3 figures
null
10.1103/PhysRevA.75.012312
null
quant-ph
null
In this paper, a new decoy-state scheme for quantum key distribution with parametric down-conversion source is proposed. We use both three-intensity decoy states and their triggered and nontriggered components to estimate the fraction of single-photon counts and quantum bit-error rate of single-photon, and then deduce a more accurate value of key generation rate. The final key rate over transmission distance is simulated, which shows that we can obtain a higher key rate than that of the existing methods, including our own earlier work.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 17:07:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Qin", "" ], [ "Wang", "Xiang-Bin", "" ], [ "Bjork", "Gunnar", "" ], [ "Karlsson", "Anders", "" ] ]
quant-ph/0703253
Sebastien Sauge
S. Sauge, M. Swillo, S. Albert-Seifried, G. B. Xavier, J. Waldeback, M. Tengner, D. Ljunggren, A. Karlsson
Narrowband polarization-entangled photon pairs distributed over a WDM link for qubit networks
8 pages, 4 figures
Opt. Express 15, 6926-6933 (2007)
10.1364/OE.15.006926
null
quant-ph
null
We present a bright, narrowband, portable, quasi-phase-matched two-crystal source generating polarization-entangled photon pairs at 809 nm and 1555 nm at a maximum rate of 1.2 10^6 s-1 THz-1 mW-1 after coupling to single-mode fiber. The quantum channel at 1555 nm and the synchronization signal gating the single photon detector are multiplexed in the same optical fiber of length 27 km by means of wavelength division multiplexers (WDM) having 100 GHz (0.8 nm) spacing between channels. This implementation makes quantum communication applications compatible with current high-speed optical networks.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 18:16:53 GMT" }, { "version": "v2", "created": "Mon, 3 Sep 2007 13:13:03 GMT" }, { "version": "v3", "created": "Tue, 4 Sep 2007 14:41:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Sauge", "S.", "" ], [ "Swillo", "M.", "" ], [ "Albert-Seifried", "S.", "" ], [ "Xavier", "G. B.", "" ], [ "Waldeback", "J.", "" ], [ "Tengner", "M.", "" ], [ "Ljunggren", "D.", "" ], [ "Karlsson", "A.", "" ] ]
quant-ph/0703254
Andreas Fring
Paulo E.G. Assis and Andreas Fring
The quantum brachistochrone problem for non-Hermitian Hamiltonians
7 pages Latex, 2 figures
J.Phys.A41:244002,2008
10.1088/1751-8113/41/24/244002
null
quant-ph hep-th math-ph math.MP
null
Recently Bender, Brody, Jones and Meister found that in the quantum brachistochrone problem the passage time needed for the evolution of certain initial states into specified final states can be made arbitrarily small, when the time-evolution operator is taken to be non-Hermitian but PT-symmetric. Here we demonstrate that such phenomena can also be obtained for non-Hermitian Hamiltonians for which PT-symmetry is completely broken, i.e. dissipative systems. We observe that the effect of a tunable passage time can be achieved by projecting between orthogonal eigenstates by means of a time-evolution operator associated to a non-Hermitian Hamiltonian. It is not essential that this Hamiltonian is PT-symmetric.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 18:47:20 GMT" }, { "version": "v2", "created": "Thu, 4 Oct 2007 16:38:48 GMT" } ]
2008-11-26T00:00:00
[ [ "Assis", "Paulo E. G.", "" ], [ "Fring", "Andreas", "" ] ]
quant-ph/0703255
Robert Thew
Nicolas Gisin and Rob Thew
Quantum Communication
Submitted version, 8 pg (2 cols) 5 figs
Nature Photonics, vol 1, No. 3, pp165-171 (2007)
10.1038/nphoton.2007.22
null
quant-ph
null
Quantum communication, and indeed quantum information in general, has changed the way we think about quantum physics. In 1984 and 1991, the first protocol for quantum cryptography and the first application of quantum non-locality, respectively, attracted a diverse field of researchers in theoretical and experimental physics, mathematics and computer science. Since then we have seen a fundamental shift in how we understand information when it is encoded in quantum systems. We review the current state of research and future directions in this new field of science with special emphasis on quantum key distribution and quantum networks.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 20:10:10 GMT" } ]
2015-06-26T00:00:00
[ [ "Gisin", "Nicolas", "" ], [ "Thew", "Rob", "" ] ]
quant-ph/0703256
Dmitri Maslov
D. Maslov, S. M. Falconer, and M. Mosca
Quantum Circuit Placement
15 pages, 4 figures. Improved theory and software implementation, new experimental results
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 27(4):752-763, April 2008
10.1109/TCAD.2008.917562
null
quant-ph
null
We study the problem of the practical realization of an abstract quantum circuit when executed on quantum hardware. By practical, we mean adapting the circuit to particulars of the physical environment which restricts/complicates the establishment of certain direct interactions between qubits. This is a quantum version of the classical circuit placement problem. We study the theoretical aspects of the problem and also present empirical results that match the best known solutions that have been developed by experimentalists. Finally, we discuss the efficiency of the approach and scalability of its implementation with regards to the future development of quantum hardware.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 20:56:53 GMT" }, { "version": "v2", "created": "Thu, 27 Mar 2008 18:07:37 GMT" } ]
2008-03-27T00:00:00
[ [ "Maslov", "D.", "" ], [ "Falconer", "S. M.", "" ], [ "Mosca", "M.", "" ] ]
quant-ph/0703257
Dan Solomon
Dan Solomon
Space-like energy momentum in quantum electrodynamics
9 pages
null
null
null
quant-ph
null
A common assumption in quantum field theory is that the energy-momentum 4-vector of any quantum state must be time-like. However it has been recently shown [4] that this is not the case for a Dirac-Maxwell field in the coulomb gauge. Here we will present a proof that is simpler then the proof of Ref. [4] that there must exist quantum states which are space-like for a Dirac-Maxwell field in the coulomb gauge.
[ { "version": "v1", "created": "Tue, 27 Mar 2007 21:30:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Solomon", "Dan", "" ] ]
quant-ph/0703258
Jesse Fern
Jesse Fern
Correctable noise of Quantum Error Correcting Codes under adaptive concatenation
5 pages, no figures, RevTex4, minor changes, similar to final publication version
Phys. Rev. A 77, 010301(R) (2008)
10.1103/PhysRevA.77.010301
null
quant-ph
null
We examine the transformation of noise under a quantum error correcting code (QECC) concatenated repeatedly with itself, by analyzing the effects of a quantum channel after each level of concatenation using recovery operators that are optimally adapted to use error syndrome information from the previous levels of the code. We use the Shannon entropy of these channels to estimate the thresholds of correctable noise for QECCs and find considerable improvements under this adaptive concatenation. Similar methods could be used to increase quantum fault tolerant thresholds.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 01:43:25 GMT" }, { "version": "v2", "created": "Tue, 14 Aug 2007 17:28:27 GMT" }, { "version": "v3", "created": "Wed, 27 Feb 2008 01:04:07 GMT" } ]
2008-02-27T00:00:00
[ [ "Fern", "Jesse", "" ] ]
quant-ph/0703259
Evgeny Shchukin
E. Shchukin
Bell inequalities, classical cryptography and fractals
26 pages, 7 figures
null
null
null
quant-ph
null
The relation between the boolean functions and Bell inequalities for qubits is analyzed. The connection between the maximal quantum violation of a Bell inequality and the nonlinearity of the corresponding boolean function is discussed. A visualization scheme of boolean functions is proposed. An attempt to classify Bell inequalities for qubits is made, a weaker result (classification with respect to Jevons group) is obtained. The fractal structure of the classification is shown. All constructs are illustrated by Mathematica code.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 05:07:02 GMT" }, { "version": "v2", "created": "Wed, 4 Apr 2007 18:12:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Shchukin", "E.", "" ] ]
quant-ph/0703260
Sandro Sozzo
Claudio Garola, Sandro Sozzo
Reinterpreting Quantum Probabilities in a Realistic and Local Framework: The Modified BCHSH Inequalities
34 pages, revision of footnote 8, minor changes in the terminology, standard Latex
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Most physicists uphold that the tests of the Bell inequalities (BI) performed up to now confirm the predictions of standard quantum mechanics (SQM) and refute local realism. But some scholars criticize this conviction, defending local realism in various ways. We present here a new viewpoint based on an improved version of the extended semantic realism (ESR) model that has been recently worked out by one of the authors. The ESR model embodies the mathematical formalism of SQM into a more general framework in which not only local realism but also objectivity of physical properties holds, and the probabilities of SQM are reinterpreted as conditional instead of absolute. Hence the ESR model provides some predictions that are formally identical to those of SQM but have a different physical interpretation, and further predictions that differ also formally from those of SQM. In particular, we show here that the BI introduced by Clauser, Horne, Shimony and Holt (BCHSH inequalities) must be replaced by modified BCHSH inequalities. These depend on detection probabilities which may be such that the new inequalities are never violated by the conditional expectation values predicted by the model. The condition that no violation occurs implies the existence of upper bounds on detection probabilities, which makes the ESR model falsifiable. These results admit an intuitive explanation in terms of unfair sampling but basically differ from the seemingly similar results obtained by other approaches in which the efficiency problem is discussed in order to vindicate some kind of local realism.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 13:36:02 GMT" }, { "version": "v2", "created": "Fri, 8 Jun 2007 15:23:24 GMT" }, { "version": "v3", "created": "Wed, 25 Jul 2007 13:22:20 GMT" }, { "version": "v4", "created": "Fri, 23 Nov 2007 08:42:36 GMT" }, { "version": "v5", "created": "Fri, 4 Jul 2008 12:30:05 GMT" } ]
2008-07-04T00:00:00
[ [ "Garola", "Claudio", "" ], [ "Sozzo", "Sandro", "" ] ]
quant-ph/0703261
Gian Paolo Beretta
Gian Paolo Beretta
Quantum thermodynamic Carnot and Otto-like cycles for a two-level system
RevTex4, 4 pages, 1 figure
EPL, 99, 20005 (2012)
10.1209/0295-5075/99/20005
null
quant-ph
null
From the thermodynamic equilibrium properties of a two-level system with variable energy-level gap $\Delta$, and a careful distinction between the Gibbs relation $dE = T dS + (E/\Delta) d\Delta$ and the energy balance equation $dE = \delta Q^\leftarrow - \delta W^\to$, we infer some important aspects of the second law of thermodynamics and, contrary to a recent suggestion based on the analysis of an Otto-like thermodynamic cycle between two values of $\Delta$ of a spin-1/2 system, we show that a quantum thermodynamic Carnot cycle, with the celebrated optimal efficiency $1 - (T_{low}/T_{high})$, is possible in principle with no need of an infinite number of infinitesimal processes, provided we cycle smoothly over at least three (in general four) values of $\Delta$, and we change $\Delta$ not only along the isoentropics, but also along the isotherms, e.g., by use of the recently suggested maser-laser tandem technique. We derive general bounds to the net-work to high-temperature-heat ratio for a Carnot cycle and for the 'inscribed' Otto-like cycle, and represent these cycles on useful thermodynamic diagrams.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 15:08:57 GMT" } ]
2014-01-22T00:00:00
[ [ "Beretta", "Gian Paolo", "" ] ]
quant-ph/0703262
David Leonard
David Leonard and Paul Mansfield
Solving the Anharmonic Oscillator: Tuning the Boundary Condition
10 pages, 4 figures. V3 contains minor changes made before final publication
J.Phys.A40:10291-10300,2007
10.1088/1751-8113/40/33/020
null
quant-ph hep-th
null
We outline a remarkably efficient method for generating solutions to quantum anharmonic oscillators with an x^{2M} potential. We solve the Schroedinger equation in terms of a free parameter which is then tuned to give the correct boundary condition by generating a power series expansion of the wavefunction in x and applying a modified Borel resummation technique to obtain the large x behaviour. The process allows us to calculate energy eigenvalues to an arbitrary level of accuracy. High degrees of precision are achieved even with modest computing power. Our technique extends to all levels of excitation and produces the correct solution to the double well oscillators even though they are dominated by non-perturbative effects.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 14:53:20 GMT" }, { "version": "v2", "created": "Wed, 11 Apr 2007 16:11:18 GMT" }, { "version": "v3", "created": "Thu, 9 Aug 2007 13:55:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Leonard", "David", "" ], [ "Mansfield", "Paul", "" ] ]
quant-ph/0703263
Angel S. Sanz
D. Gerbasi, A. S. Sanz, P. S. Christopher, M. Shapiro, P. Brumer
Overlapping resonances in the control of intramolecular vibrational redistribution
10 pages, 7 figures
J. Chem. Phys. 126, 124307 (2007)
10.1063/1.2710791
null
quant-ph
null
Coherent control of bound state processes via the interfering overlapping resonances scenario [Christopher et al., J. Chem. Phys. 123, 064313 (2006)] is developed to control intramolecular vibrational redistribution (IVR). The approach is applied to the flow of population between bonds in a model of chaotic OCS vibrational dynamics, showing the ability to significantly alter the extent and rate of IVR by varying quantum interference contributions.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 17:35:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Gerbasi", "D.", "" ], [ "Sanz", "A. S.", "" ], [ "Christopher", "P. S.", "" ], [ "Shapiro", "M.", "" ], [ "Brumer", "P.", "" ] ]
quant-ph/0703264
John Preskill
Panos Aliferis, Daniel Gottesman, John Preskill
Accuracy threshold for postselected quantum computation
54 pages, 26 figures, uses qic.sty. (v2): minor revisions
Quant. Inf. Comput. 8 (2008) 181-244
null
CALT-68-2616
quant-ph
null
We prove an accuracy threshold theorem for fault-tolerant quantum computation based on error detection and postselection. Our proof provides a rigorous foundation for the scheme suggested by Knill, in which preparation circuits for ancilla states are protected by a concatenated error-detecting code and the preparation is aborted if an error is detected. The proof applies to independent stochastic noise but (in contrast to proofs of the quantum accuracy threshold theorem based on concatenated error-correcting codes) not to strongly-correlated adversarial noise. Our rigorously established lower bound on the accuracy threshold, 1.04 \times 10^{-3}, is well below Knill's numerical estimates.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 20:19:39 GMT" }, { "version": "v2", "created": "Mon, 17 Sep 2007 21:17:30 GMT" } ]
2008-02-27T00:00:00
[ [ "Aliferis", "Panos", "" ], [ "Gottesman", "Daniel", "" ], [ "Preskill", "John", "" ] ]
quant-ph/0703265
Andrei Faraon
Andrei Faraon, Dirk Englund, Ilya Fushman, Nick Stoltz, Pierre Petroff, Jelena Vuckovic
Local Quantum Dot Tuning on Photonic Crystal Chips
null
null
10.1063/1.2742789
null
quant-ph
null
Quantum networks based on InGaAs quantum dots embedded in photonic crystal devices rely on QDs being in resonance with each other and with the cavities they are embedded in. We developed a new technique based on temperature tuning to spectrally align different quantum dots located on the same chip. The technique allows for up to 1.8nm reversible on-chip quantum dot tuning.
[ { "version": "v1", "created": "Wed, 28 Mar 2007 22:46:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Faraon", "Andrei", "" ], [ "Englund", "Dirk", "" ], [ "Fushman", "Ilya", "" ], [ "Stoltz", "Nick", "" ], [ "Petroff", "Pierre", "" ], [ "Vuckovic", "Jelena", "" ] ]
quant-ph/0703266
Gennadi Sardanashvily
L.Mangiarotti and G.Sardanashvily
Quantum mechanics with respect to different reference frames
16 pages
J. Math. Phys. v.48 (2007) 082104
10.1063/1.2769147
null
quant-ph math-ph math.MP
null
Geometric (Schrodinger) quantization of nonrelativistic mechanics with respect to different reference frames is considered. In classical nonrelativistic mechanics, a reference frame is represented by a connection on a configuration space fibered over a time axis. Under quantization, it yields a connection on the quantum algebra of Schrodinger operators. The operators of energy with respect to different reference frames are examined.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 06:14:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Mangiarotti", "L.", "" ], [ "Sardanashvily", "G.", "" ] ]
quant-ph/0703267
Ebrahim Karimi
Mohammad R. Setare, Ebrahim Karimi
Algebraic approach to the Hulthen potential
8 Pages, 1 Table
Int. J. Theor. Phys. 46, 1381 (2007).
10.1007/s10773-006-9276-z
null
quant-ph
null
In this paper the energy eigenvalues and the corresponding eigenfunctions are calculated for Hulthen potential. Then we obtain the ladder operators and show that these operators satisfy SU(2) commutation relation.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 08:48:08 GMT" } ]
2009-08-30T00:00:00
[ [ "Setare", "Mohammad R.", "" ], [ "Karimi", "Ebrahim", "" ] ]
quant-ph/0703268
Lluis Masanes
Lluis Masanes, Yeong-Cherng Liang, Andrew C. Doherty
All bipartite entangled states display some hidden nonlocality
5 pages, 1 figure
Physical Review Letters, vol 100, art. 090403 (2008)
10.1103/PhysRevLett.100.090403
null
quant-ph
null
We show that a violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality can be demonstrated in a certain kind of Bell experiment for all bipartite entangled states. Our protocol allows local filtering measurements and involves shared ancilla states that do not themselves violate CHSH. Our result follows from two main steps. We first provide a simple characterization of the states that violate the CHSH-inequality after local filtering operations in terms of witness-like operators. Second, we prove that for each entangled state $\sigma$, there exists another state $\rho$ not violating CHSH, such that $\rho\otimes\sigma$ violates CHSH. Hence, in this scenario, $\sigma$ cannot be substituted by classical correlations without changing the statistics of the experiment; we say that $\sigma$ is not simulable by classical correlations and our result is that entanglement is equivalent to non-simulability.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 10:05:08 GMT" } ]
2008-03-06T00:00:00
[ [ "Masanes", "Lluis", "" ], [ "Liang", "Yeong-Cherng", "" ], [ "Doherty", "Andrew C.", "" ] ]
quant-ph/0703269
Mykola Stetsko
M. M. Stetsko
Corrections to the ns-levels of hydrogen atom in deformed space with minimal length
9 pages, 1 figure
Phys. Rev. A 74, 062105, 2006
10.1103/PhysRevA.74.062105
null
quant-ph
null
We investigated the hydrogen atom problem with deformed Heisenberg algebra leading to the existence of minimal length. Using modified perturbation theory developed in our previous work [M. M. Stetsko and V. M. Tkachuk, Phys. Rev. A 74, 012101 (2006)] we calculated the corrections to the arbitrary s-levels for hydrogen atom. We received a simple relation for the estimation of minimal length. We also compared the estimation of minimal length obtained here with the results obtained in the preceding investigations.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 10:43:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Stetsko", "M. M.", "" ] ]
quant-ph/0703270
Thomas Coudreau
P\'erola Milman (MPQ), Wilfried Maineult (MPQ), Samuel Guibal (MPQ), Luca Guidoni (MPQ), Beno\^it Dou\c{c}ot (LPTHE), Lev Ioffe, Thomas Coudreau (MPQ)
Topologically decoherence-protected qubits with trapped ions
4 pages
Physical Review Letters 99, 2 (13/07/2007) 020503
10.1103/PhysRevLett.99.020503
null
quant-ph cond-mat.other
null
We show that trapped ions can be used to simulate a highly symmetrical Hamiltonian with eingenstates naturally protected against local sources of decoherence. This Hamiltonian involves long range coupling between particles and provides a more efficient protection than nearest neighbor models discussed in previous works. Our results open the perspective of experimentally realizing in controlled atomic systems, complex entangled states with decoherence times up to nine orders of magnitude longer than isolated quantum systems.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 11:53:41 GMT" }, { "version": "v2", "created": "Sun, 15 Jul 2007 16:40:11 GMT" } ]
2007-07-15T00:00:00
[ [ "Milman", "Pérola", "", "MPQ" ], [ "Maineult", "Wilfried", "", "MPQ" ], [ "Guibal", "Samuel", "", "MPQ" ], [ "Guidoni", "Luca", "", "MPQ" ], [ "Douçot", "Benoît", "", "LPTHE" ], [ "Ioffe", "Lev", "", "MPQ" ], [ "Coudreau", "Thomas", "", "MPQ" ] ]
quant-ph/0703271
Alexandre Matzkin
A. Matzkin
A local model violating Bell's inequalities
This preprint is now replaced by arXiv:0808.2420
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A model for two entangled systems in an EPR setting is shown to reproduce the quantum-mechanical outcomes and expectation values. Each system is represented by a small sphere containing a point-like particle embedded in a field. A quantum state appears as an equivalence class of several possible particle-field configurations. Contrarily to Bell-type hidden variables models, the fields account for the non-commutative aspects of the measurements and deny the simultaneous reality of incompatible physical quantities, thereby allowing to escape EPR's "completeness or locality" dilemma.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 13:23:41 GMT" }, { "version": "v2", "created": "Mon, 9 Apr 2007 18:25:50 GMT" }, { "version": "v3", "created": "Wed, 14 Jan 2009 20:06:33 GMT" } ]
2009-09-29T00:00:00
[ [ "Matzkin", "A.", "" ] ]
quant-ph/0703272
Hector Bombin
H. Bombin, M.A. Martin-Delgado
Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
revtex, 6 pages, 7 figures
Phys. Rev. A 76, 012305 (2007)
10.1103/PhysRevA.76.012305
null
quant-ph cond-mat.str-el
null
We study the resources needed to construct topological 2D stabilizer codes as a way to estimate in part their efficiency and this leads us to perform a comparative study of surface codes and color codes. This study clarifies the similarities and differences between these two types of stabilizer codes. We compute the error correcting rate $C:=n/d^2$ for surface codes $C_s$ and color codes $C_c$ in several instances. On the torus, typical values are $C_s=2$ and $C_c=3/2$, but we find that the optimal values are $C_s=1$ and $C_c=9/8$. For planar codes, a typical value is $C_s=2$, while we find that the optimal values are $C_s=1$ and $C_c=3/4$. In general, a color code encodes twice as much logical qubits as a surface code does.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 13:47:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Bombin", "H.", "" ], [ "Martin-Delgado", "M. A.", "" ] ]
quant-ph/0703273
Andrzej Dragan
Andrzej Dragan and Pawel Zin
Interference of Fock states in a single measurement
4 pages
null
10.1103/PhysRevA.76.042124
null
quant-ph
null
We study analytically the structure of an arbitrary order correlation function for a pair of Fock states and prove without any approximations that in a single measurement of particle positions interference effects must occur as experimentally observed with Bose-Einstein condensates. We also show that the noise level present in the statistics is slightly lower than for a respective measurement of phase states.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 17:05:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Dragan", "Andrzej", "" ], [ "Zin", "Pawel", "" ] ]
quant-ph/0703274
Daniel A. Lidar
R.L. Kosut, A. Shabani, D.A. Lidar
Robust Quantum Error Correction via Convex Optimization
4 pages, including 3 figures. v2: new examples
Phys. Rev. Lett. 100, 020502 (2008)
10.1103/PhysRevLett.100.020502
null
quant-ph
null
We present a semidefinite program optimization approach to quantum error correction that yields codes and recovery procedures that are robust against significant variations in the noise channel. Our approach allows us to optimize the encoding, recovery, or both, and is amenable to approximations that significantly improve computational cost while retaining fidelity. We illustrate our theory numerically for optimized 5-qubit codes, using the standard [5,1,3] code as a benchmark. Our optimized encoding and recovery yields fidelities that are uniformly higher by 1-2 orders of magnitude against random unitary weight-2 errors compared to the [5,1,3] code with standard recovery. We observe similar improvement for a 4-qubit decoherence-free subspace code.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 20:03:45 GMT" }, { "version": "v2", "created": "Tue, 18 Sep 2007 17:01:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Kosut", "R. L.", "" ], [ "Shabani", "A.", "" ], [ "Lidar", "D. A.", "" ] ]
quant-ph/0703275
Jaroslav Hruby
Jaroslav Hruby
Supersymmetry and quantum games
QIP 07
null
null
null
quant-ph
null
In this paper we show the connection between the supersymmetry and quantum games.
[ { "version": "v1", "created": "Thu, 29 Mar 2007 22:39:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Hruby", "Jaroslav", "" ] ]
quant-ph/0703276
Rafael Sorkin
Rafael D. Sorkin (Perimeter Institute and Syracuse University)
An exercise in "anhomomorphic logic"
plainTeX, 14 pages, no figures. To appear in a special volume of {\it Journal of Physics}, edited by L. Diosi, H-T Elze, and G. Vitiello. Most current version is available at http://www.physics.syr.edu/~sorkin/some.papers/ (or wherever my home-page may be)
J.Phys.Conf.Ser.67:012018,2007
10.1088/1742-6596/67/1/012018
null
quant-ph gr-qc hep-th
null
A classical logic exhibits a threefold inner structure comprising an algebra of propositions `A', a space of ``truth values'' `V', and a distinguished family of mappings `phi' from propositions to truth values. Classically A is a Boolean algebra, V=Z_2, and the admissible maps phi:A-->Z_2 are {\it homomorphisms}. If one admits a larger set of maps, one obtains an anhomomorphic logic that seems better suited to quantal reality (and the needs of quantum gravity). I explain these ideas and illustrate them with three simple examples.
[ { "version": "v1", "created": "Fri, 30 Mar 2007 02:00:59 GMT" }, { "version": "v2", "created": "Sat, 31 Mar 2007 21:22:19 GMT" } ]
2008-11-26T00:00:00
[ [ "Sorkin", "Rafael D.", "", "Perimeter Institute and Syracuse University" ] ]
quant-ph/0703277
Gerardo Adesso
Gerardo Adesso and Fabrizio Illuminati
Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
4 pages, 2 figures. Final version, published in PRL
Phys. Rev. Lett. 99, 150501 (2007)
10.1103/PhysRevLett.99.150501
null
quant-ph cond-mat.stat-mech hep-th math-ph math.MP
null
We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish exactly a monogamy inequality, stronger than the traditional one, that by recursion defines a proper measure of genuine N-partite entanglement. Strong monogamy holds as well for subsystems of arbitrary size, and the emerging multipartite entanglement measure is found to be scale invariant. We unveil its operational connection with the optimal fidelity of continuous variable teleportation networks.
[ { "version": "v1", "created": "Fri, 30 Mar 2007 12:34:49 GMT" }, { "version": "v2", "created": "Wed, 4 Apr 2007 16:58:16 GMT" }, { "version": "v3", "created": "Sat, 25 Aug 2007 07:45:00 GMT" }, { "version": "v4", "created": "Tue, 9 Oct 2007 16:00:44 GMT" } ]
2007-10-09T00:00:00
[ [ "Adesso", "Gerardo", "" ], [ "Illuminati", "Fabrizio", "" ] ]
quant-ph/0703278
Matthew Elliott
Matthew B. Elliott, Bryan Eastin, and Carlton M. Caves
Graphical description of the action of Clifford operators on stabilizer states
14 pages, 8 figures. Version 2 contains significant changes. Submitted to PRA
Phys. Rev. A 77, 042307 (2008)
10.1103/PhysRevA.77.042307
null
quant-ph
null
We introduce a graphical representation of stabilizer states and translate the action of Clifford operators on stabilizer states into graph operations on the corresponding stabilizer-state graphs. Our stabilizer graphs are constructed of solid and hollow nodes, with (undirected) edges between nodes and with loops and signs attached to individual nodes. We find that local Clifford transformations are completely described in terms of local complementation on nodes and along edges, loop complementation, and change of node type or sign. Additionally, we show that a small set of equivalence rules generates all graphs corresponding to a given stabilizer state; we do this by constructing an efficient procedure for testing the equality of any two stabilizer graphs.
[ { "version": "v1", "created": "Fri, 30 Mar 2007 18:43:39 GMT" }, { "version": "v2", "created": "Wed, 10 Oct 2007 15:26:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Elliott", "Matthew B.", "" ], [ "Eastin", "Bryan", "" ], [ "Caves", "Carlton M.", "" ] ]
quant-ph/9412001
Guenter Schrade
G. Schrade, V.M. Akulin, W.P. Schleich, and V.I. Man'ko
Photon Statistics of a Two-Mode Squeezed Vacuum
LATEX, 6 pages, Contribution to the third International Workshop on Squeezed States and Uncertainty Relations, Baltimore, August 1993
Phys.Rev.A48:2398-2406,1993
10.1103/PhysRevA.48.2398
null
quant-ph
null
We investigate the general case of the photon distribution of a two-mode squeezed vacuum and show that the distribution of photons among the two modes depends on four parameters: two squeezing parameters, the relative phase between the two oscillators and their spatial orientation. The distribution of the total number of photons depends only on the two squeezing parameters. We derive analytical expressions and present pictures for both distributions.
[ { "version": "v1", "created": "Wed, 21 Dec 1994 09:22:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Schrade", "G.", "" ], [ "Akulin", "V. M.", "" ], [ "Schleich", "W. P.", "" ], [ "Man'ko", "V. I.", "" ] ]
quant-ph/9412002
Michael R. Gallis
Michael R. Gallis
The Emergence of Classicality via Decoherence: Beyond the Caldeira-Legget Environment
LaTeX, 5 pages, (to appear in Proceedings of the 4th Drexel Symposium on Quantum Nonintegrability)
null
null
null
quant-ph
null
Maximally predictive states, as defined in recent work by Zurek, Habib and Paz, are studied for more elaborate environment models than a linear coupling. An environment model which includes spatial correlations in the noise is considered in the non-dissipative regime. The Caldeira-Leggett model is also reconsidered in the context of an averaging procedure which produces a completely positive form for the quantum master equation. In both cases, the maximally predictive states for the harmonic oscillator are the coherent states, which is the same result found by Zurek,Habib and Paz for the Caldeira-Legget environment.
[ { "version": "v1", "created": "Thu, 22 Dec 1994 18:15:00 GMT" } ]
2007-05-23T00:00:00
[ [ "Gallis", "Michael R.", "" ] ]
quant-ph/9412003
Ulf Danielsson
Ulf H. Danielsson (Institute for Theoretical Physics, Uppsala University)
String Theory, Black Holes and Klein's Lemma
17 pages, Latex
null
null
UUITP-20/94
quant-ph
null
This is a writeup of a talk given at the Oskar Klein Centenery Symposium, Stockholm, September 19-21, 1994. It is an essay on the black hole information paradox and its connection with thermodynamics and the foundations of quantum mechanics.
[ { "version": "v1", "created": "Fri, 23 Dec 1994 13:39:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Danielsson", "Ulf H.", "", "Institute for Theoretical Physics, Uppsala\n University" ] ]
quant-ph/9412004
Karl Svozil
C. Calude, D. I. Campbell, K. Svozil and D. \c{S}tef\u{a}necu
Strong Determinism vs. Computability
13 pages, LaTeX
The Foundational Debate. Complexity and Constructivity in Mathematics and Physics. Vienna Circle Institute Yearbook, Vol. 3, ed. by Werner DePauli Schimanovich, Eckehart Koehler and Friedrich Stadler (Kluwer, Dordrecht, Boston, London, 1995), p. 115-131.
null
null
quant-ph chao-dyn nlin.CD
null
Are minds subject to laws of physics? Are the laws of physics computable? Are conscious thought processes computable? Currently there is little agreement as to what are the right answers to these questions. Penrose goes one step further and asserts that: {\it a radical new theory is indeed needed, and I am suggesting, moreover, that this theory, when it is found, will be of an essentially non-computational character.} The aim of this paper is three fold: 1) to examine the incompatibility between the hypothesis of strong determinism and computability, 2) to give new examples of uncomputable physical laws, and 3) to discuss the relevance of G\"odel's Incompleteness Theorem in refuting the claim that an algorithmic theory---like strong AI---can provide an adequate theory of mind. Finally, we question the adequacy of the theory of computation to discuss physical laws and thought processes.
[ { "version": "v1", "created": "Fri, 23 Dec 1994 17:45:06 GMT" } ]
2010-03-17T00:00:00
[ [ "Calude", "C.", "" ], [ "Campbell", "D. I.", "" ], [ "Svozil", "K.", "" ], [ "Ştefănecu", "D.", "" ] ]
quant-ph/9412005
null
Zhong-Qi Ma (CCAST and Institute of High Energy Physics, Beijing)
On the Stronger Statement of Levinson's Theorem for the Dirac Equation
null
null
null
null
quant-ph
null
Recently a stronger statement of Levinson's theorem for the Dirac equation was presented, where the limits of the phase shifts at $E=\pm M$ are related to the numbers of nodes of radial functions at the same energies, respectively. However, in this letter we show that this statement has to be modified because the limits of the phase shifts may be negative for the Dirac equation.
[ { "version": "v1", "created": "Mon, 26 Dec 1994 14:46:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Ma", "Zhong-Qi", "", "CCAST and Institute of High Energy Physics, Beijing" ] ]
quant-ph/9412006
Asher Peres
Michael Kernaghan and Asher Peres
Kochen-Specker theorem for 8-dimensional space
LaTeX 8 pages
Phys.Lett. A198 (1995) 1-5
10.1016/0375-9601(95)00012-R
null
quant-ph
null
A Kochen-Specker contradiction is produced with 36 vectors in a real 8-dimensional Hilbert space. These vectors can be combined into 30 distinct projection operators (14 of rank 2, and 16 of rank 1). A state-specific variant of this contradiction requires only 13 vectors, a remarkably low number for 8 dimensions.
[ { "version": "v1", "created": "Mon, 26 Dec 1994 07:21:13 GMT" } ]
2009-10-28T00:00:00
[ [ "Kernaghan", "Michael", "" ], [ "Peres", "Asher", "" ] ]
quant-ph/9412007
Asher Peres
Ofir E. Alon, Nimrod Moiseyev, and Asher Peres
Infinite matrices may violate the associative law
final version in J. Phys. A28 (1995) 1765-1770
J.Phys. A28 (1995) 1765-1770
10.1088/0305-4470/28/6/027
null
quant-ph
null
The momentum operator for a particle in a box is represented by an infinite order Hermitian matrix $P$. Its square $P^2$ is well defined (and diagonal), but its cube $P^3$ is ill defined, because $P P^2\neq P^2 P$. Truncating these matrices to a finite order restores the associative law, but leads to other curious results.
[ { "version": "v1", "created": "Mon, 26 Dec 1994 11:30:51 GMT" }, { "version": "v2", "created": "Thu, 10 Sep 1998 13:48:25 GMT" } ]
2009-10-28T00:00:00
[ [ "Alon", "Ofir E.", "" ], [ "Moiseyev", "Nimrod", "" ], [ "Peres", "Asher", "" ] ]
quant-ph/9412008
null
M. Khorrami
A general formulation of discrete-time quantum mechanics, restrictions on the action and the relation of unitarity to the existence theorem for initial-value problems
13 pages, TeX
Annals Phys. 244 (1995) 101-111
10.1006/aphy.1995.1108
IPM-94-073, TUDP 94-3, IASBS 94-7
quant-ph
null
A general formlulation for discrete-time quantum mechanics, based on Feynman's method in ordinary quantum mechanics, is presented. It is shown that the ambiguities present in ordinary quantum mechanics (due to noncommutativity of the operators), are no longer present here. Then the criteria for the unitarity of the evolution operator is examined. It is shown that the unitarity of the evolution operator puts restrictions on the form of the action, and also implies the existence of a solution for the classical initial-value problem.
[ { "version": "v1", "created": "Wed, 28 Dec 1994 08:16:58 GMT" } ]
2015-06-26T00:00:00
[ [ "Khorrami", "M.", "" ] ]
quant-ph/9412009
Wolfgang Scherer
Wolfgang Scherer
Superconvergent Perturbation Method in Quantum Mechanics
11 pages, LaTeX
Phys.Rev.Lett.74:1495-1499,1995
10.1103/PhysRevLett.74.1495
ASI-TPA/17/94
quant-ph
null
An analogue of Kolmogorov's superconvergent perturbation theory in classical mechanics is constructed for self adjoint operators. It is different from the usual Rayleigh--Schr\"odinger perturbation theory and yields expansions for eigenvalues and eigenvectors in terms of functions of the perturbation parameter.
[ { "version": "v1", "created": "Fri, 30 Dec 1994 12:31:04 GMT" } ]
2009-01-23T00:00:00
[ [ "Scherer", "Wolfgang", "" ] ]
quant-ph/9412010
Wolfgang Scherer
Wolfgang Scherer
Quantum Averaging I: Poincar\'e--von Zeipel is Rayleigh--Schr\"odinger
12 pages, LaTeX, to appear in Journ. Phys. A
J.Phys. A27 (1994) 8231-8246
10.1088/0305-4470/27/24/028
ASI-TPA/16/94
quant-ph
null
An exact analogue of the method of averaging in classical mechanics is constructed for self--adjoint operators. It is shown to be completely equivalent to the usual Rayleigh--Schr\"odinger perturbation theory but gives the sums over intermediate states in closed form expressions. The anharmonic oscillator and the Henon--Heiles system are treated as examples to illustrate the quantum averaging method.
[ { "version": "v1", "created": "Fri, 30 Dec 1994 12:54:24 GMT" } ]
2009-10-28T00:00:00
[ [ "Scherer", "Wolfgang", "" ] ]
quant-ph/9412011
Arvind
Arvind, B. Dutta, N. Mukunda and R. Simon
Two Mode Quantum Systems: Invariant Classification of Squeezing Transformations and Squeezed States
Revtex 37 pages, Latex figures included
Phys. Rev. A 52, 1609 (1995)
10.1103/PhysRevA.52.1609
null
quant-ph
null
A general analysis of squeezing transformations for two mode systems is given based on the four dimensional real symplectic group $Sp(4,\Re)\/$. Within the framework of the unitary metaplectic representation of this group, a distinction between compact photon number conserving and noncompact photon number nonconserving squeezing transformations is made. We exploit the $Sp(4,\Re)-SO(3,2)\/$ local isomorphism and the $U(2)\/$ invariant squeezing criterion to divide the set of all squeezing transformations into a two parameter family of distinct equivalence classes with representative elements chosen for each class. Familiar two mode squeezing transformations in the literature are recognized in our framework and seen to form a set of measure zero. Examples of squeezed coherent and thermal states are worked out. The need to extend the heterodyne detection scheme to encompass all of $U(2)\/$ is emphasized, and known experimental situations where all $U(2)\/$ elements can be reproduced are briefly described.
[ { "version": "v1", "created": "Sat, 31 Dec 1994 10:18:28 GMT" } ]
2009-10-28T00:00:00
[ [ "Arvind", "", "" ], [ "Dutta", "B.", "" ], [ "Mukunda", "N.", "" ], [ "Simon", "R.", "" ] ]
quant-ph/9412012
Daniel C. Galehouse
Daniel C. Galehouse
Quantization Failure in Unified Field Theories
10 pages, latex/revtex, no figures
null
null
QFUFT-6.0-12/26/94
quant-ph gr-qc
null
Studies of geometrical theories suggest that fundmental problems of quantization arise from the disparate usage of displacement operators. These may be the source of a concealed inconsistency in the accepted formalism of quantum physics. General relativity and related theories cannot be quantized by the classical procedure. It is necessary to avoid the construction of differential equations by operators applied algebraically. For such theories, Von Neumann's theorem concerning hidden variables is avoided. A specified alternative class of gravitational-quantum-electrodynamic theories is possible.
[ { "version": "v1", "created": "Sun, 1 Jan 1995 05:47:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Galehouse", "Daniel C.", "" ] ]
quant-ph/9501001
null
Lajos Diosi and B. Lukacs
Critique of proposed limit to space--time measurement, based on Wigner's clocks and mirrors
5 pages, LaTex, field "Author:" corrected
Europhys.Lett.34:479-481,1996
10.1209/epl/i1996-00482-6
null
quant-ph
null
Based on a relation between inertial time intervals and the Riemannian curvature, we show that space--time uncertainty derived by Ng and van Dam implies absurd uncertainties of the Riemannian curvature.
[ { "version": "v1", "created": "Wed, 4 Jan 1995 12:17:00 GMT" }, { "version": "v2", "created": "Wed, 4 Jan 1995 13:06:00 GMT" }, { "version": "v3", "created": "Fri, 6 Jan 1995 12:26:00 GMT" } ]
2010-12-17T00:00:00
[ [ "Diosi", "Lajos", "" ], [ "Lukacs", "B.", "" ] ]
quant-ph/9501002
Lev Vaidman
Y. Aharonov and L. Vaidman
RESOLUTION OF A ``RETRODICTION PARADOX''
4 pages
null
null
TAUP 2213-94
quant-ph
null
It is shown that the ``retrodiction paradox'' recently introduced by Peres arises not because of the fallacy of the time-symmetric approach as he claimed, but due to an inappropriate usage of retrodiction.
[ { "version": "v1", "created": "Wed, 4 Jan 1995 14:38:37 GMT" }, { "version": "v2", "created": "Tue, 7 Mar 1995 09:02:45 GMT" } ]
2016-09-08T00:00:00
[ [ "Aharonov", "Y.", "" ], [ "Vaidman", "L.", "" ] ]
quant-ph/9501003
Lev Vaidman
L. Vaidman
NONLOCALITY OF A SINGLE PHOTON REVISITED AGAIN
5 pages, LaTeX
Phys.Rev.Lett. 75 (1995) 2063
10.1103/PhysRevLett.75.2063
TAUP 2214-94
quant-ph
null
Comment on L. Hardy, Phys. Rev. Lett. {\bf 73}, 2279 (1994). It is argued that the experiment proposed by Hardy should not be considered as a single photon experiment.
[ { "version": "v1", "created": "Wed, 4 Jan 1995 14:41:43 GMT" } ]
2016-09-08T00:00:00
[ [ "Vaidman", "L.", "" ] ]
quant-ph/9501004
null
Claus Kiefer
Irreversibility in quantum field theory
7 pages, LATEX, Contribution to the Clausthal-Symposium (August 1994)
null
null
Freiburg THEP-95/2
quant-ph hep-th
null
It is shown how the programme of decoherence can be applied in the context of quantum field theory. To illustrate the role of gauge invariance, we first discuss the charge superselection rule in quantum electrodynamics in some detail. We then present an example where macroscopic electromagnetic fields are ``measured" through interaction with charges and thereby rendered classical.
[ { "version": "v1", "created": "Wed, 4 Jan 1995 15:02:52 GMT" } ]
2016-09-08T00:00:00
[ [ "Kiefer", "Claus", "" ] ]
quant-ph/9501005
Asher Peres
Asher Peres
Reply to the comment of Y. Aharonov and L. Vaidman on ``Time asymmetry in quantum mechanics: a retrodiction paradox''
final version in Physics Letters A 203 (1995) 150
null
10.1016/0375-9601(95)00395-J
null
quant-ph
null
In the standard physical interpretation of quantum theory, prediction and retrodiction are not symmetric. The opposite assertion by some authors results from their use of non-standard interpretations of the theory.
[ { "version": "v1", "created": "Thu, 5 Jan 1995 16:00:03 GMT" }, { "version": "v2", "created": "Thu, 24 Sep 1998 13:29:21 GMT" } ]
2009-10-28T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9501006
Lev Vaidman
Y. Aharonov, S. Popsecu, and L. Vaidman
CAUSALITY, MEMORY ERASING AND DELAYED CHOICE EXPERIMENTS
4 pages, LaTeX
null
10.1103/PhysRevA.52.4984
TAUP 2223-95
quant-ph
null
Comment on [R.L. Ingraham, Phys. Rev. A 50, 4502 (1994)]. Ingraham suggested ``a delayed-choice experiment with partial, controllable memory erasing''. It is shown that he cannot be right since his predictions contradict relativistic causality. A subtle quantum effect which was overlooked by Ingraham is explained.
[ { "version": "v1", "created": "Sun, 8 Jan 1995 15:57:50 GMT" } ]
2016-09-08T00:00:00
[ [ "Aharonov", "Y.", "" ], [ "Popsecu", "S.", "" ], [ "Vaidman", "L.", "" ] ]
quant-ph/9501007
Marek Czachor
Marek Czachor
Nonlinear Schroedinger equation and two-level atoms
null
null
10.1103/PhysRevA.53.1310
null
quant-ph
null
General features of nonlinear quantum mechanics are discussed in the context of applications to two-level atoms.
[ { "version": "v1", "created": "Mon, 9 Jan 1995 00:01:40 GMT" } ]
2009-10-28T00:00:00
[ [ "Czachor", "Marek", "" ] ]
quant-ph/9501008
Marek Czachor
Marek Czachor
Triple bracket generalization of quantum mechanics
null
null
null
null
quant-ph
null
An extension of the Liouville-von Neumann dynamics to a Nambu-type dynamics is proposed. The resulting theory is the first version of nonlinear QM which is free from internal inconsistencies.
[ { "version": "v1", "created": "Mon, 9 Jan 1995 00:14:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Czachor", "Marek", "" ] ]
quant-ph/9501009
null
Lajos Diosi
Selective continuous quantum measurements: Restricted path integrals and wave equations
5 pages, LaTex
null
null
null
quant-ph
null
We discuss both the restricted path integral (RPI) and the wave equation (WE) techniques in the theory of continuous quantum measurements. We intend to make Mensky's fresh review complete by transforming his "effective" WE with complex Hamiltonian into Ito-differential equations.
[ { "version": "v1", "created": "Tue, 10 Jan 1995 15:51:00 GMT" } ]
2016-09-08T00:00:00
[ [ "Diosi", "Lajos", "" ] ]
quant-ph/9501010
null
S. De Martino, S. De Siena and F. Illuminati
Dymanics of Generalized Coherent States
8 pages, plain latex, no figures
Mod.Phys.Lett. B9 (1995) 823
10.1142/S0217984995000772
DFPD 94/TH/66, December 1994
quant-ph cond-mat hep-th
null
We show that generalized coherent states follow Schr\"{o}dinger dynamics in time-dependent potentials. The normalized wave-packets follow a classical evolution without spreading; in turn, the Schr\"{o}dinger potential depends on the state through the classical trajectory. This feedback mechanism with continuous dynamical re-adjustement allows the packets to remain coherent indefinetely.
[ { "version": "v1", "created": "Tue, 10 Jan 1995 13:35:36 GMT" } ]
2016-09-08T00:00:00
[ [ "De Martino", "S.", "" ], [ "De Siena", "S.", "" ], [ "Illuminati", "F.", "" ] ]
quant-ph/9501011
Benni Reznik
B. Reznik and Y. Aharonov
On a Time Symmetric Formulation of Quantum Mechanics
LaTex, 44 pages, 4 figures included. Figure captions and related text in sections 3.1, 4.2 are revised. A paragraph in pages 9-10 about non-generic two-states is clarified. Footnotes added
Phys. Rev. A 52, 2538 (1995).
10.1103/PhysRevA.52.2538
TP-94-010, TAUP-2200-94
quant-ph hep-th
null
We explore further the suggestion to describe a pre- and post-selected system by a two-state, which is determined by two conditions. Starting with a formal definition of a two-state Hilbert space and basic operations, we systematically recast the basics of quantum mechanics - dynamics, observables, and measurement theory - in terms of two-states as the elementary quantities. We find a simple and suggestive formulation, that ``unifies'' two complementary observables: probabilistic observables and non-probabilistic `weak' observables. Probabilities are relevant for measurements in the `strong coupling regime'. They are given by the absolute square of a two-amplitude (a projection of a two-state). Non-probabilistic observables are observed in sufficiently `weak' measurements, and are given by linear combinations of the two-amplitude. As a sub-class they include the `weak values' of hermitian operators. We show that in the intermediate regime, one may observe a mixing of probabilities and weak values. A consequence of the suggested formalism and measurement theory, is that the problem of non-locality and Lorentz non-covariance, of the usual prescription with a `reduction', may be eliminated. We exemplify this point for the EPR experiment and for a system under successive observations.
[ { "version": "v1", "created": "Fri, 13 Jan 1995 03:11:48 GMT" }, { "version": "v2", "created": "Thu, 11 May 1995 01:16:34 GMT" } ]
2009-10-28T00:00:00
[ [ "Reznik", "B.", "" ], [ "Aharonov", "Y.", "" ] ]
quant-ph/9501012
null
Murray Peshkin (Argonne), H. J. Lipkin (Weizmann)
Topology, Locality, and Aharonov-Bohm Effect with Neutrons
9 pages
Phys.Rev.Lett. 74 (1995) 2847-2850
10.1103/PhysRevLett.74.2847
PHY-7841-TH-94 (Argonne), WIS-94/31/July-PH (Weizmann)
quant-ph hep-th
null
Recent neutron interferometry experiments have been interpreted as demonstrating a new topological phenomenon similar in principle to the usual Aharonov-Bohm (AB) effect, but with the neutron's magnetic moment replacing the electron's charge. We show that the new phenomenon, called Scalar AB (SAB) effect, follows from an ordinary local interaction, contrary to the usual AB effect, and we argue that the SAB effect is not a topological effect by any useful definition. We find that SAB actually measures an apparently novel spin autocorrelation whose operator equations of motion contain the local torque in the magnetic field. We note that the same remarks apply to the Aharonov-Casher effect.
[ { "version": "v1", "created": "Fri, 13 Jan 1995 16:56:00 GMT" } ]
2009-10-28T00:00:00
[ [ "Peshkin", "Murray", "", "Argonne" ], [ "Lipkin", "H. J.", "", "Weizmann" ] ]
quant-ph/9501013
Aephraim Steinberg
Aephraim M. Steinberg, Raymond Y. Chiao
Sub-femtosecond determination of transmission delay times for a dielectric mirror (photonic bandgap) as a function of angle of incidence
5 pages and 5 figures
null
10.1103/PhysRevA.51.3525
null
quant-ph
null
Using a two-photon interference technique, we measure the delay for single-photon wavepackets to be transmitted through a multilayer dielectric mirror, which functions as a ``photonic bandgap'' medium. By varying the angle of incidence, we are able to confirm the behavior predicted by the group delay (stationary phase approximation), including a variation of the delay time from superluminal to subluminal as the band edge is tuned towards to the wavelength of our photons. The agreement with theory is better than 0.5 femtoseconds (less than one quarter of an optical period) except at large angles of incidence. The source of the remaining discrepancy is not yet fully understood.
[ { "version": "v1", "created": "Mon, 16 Jan 1995 11:11:10 GMT" } ]
2016-09-08T00:00:00
[ [ "Steinberg", "Aephraim M.", "" ], [ "Chiao", "Raymond Y.", "" ] ]
quant-ph/9501014
Zvi Schreiber
Zvi Schreiber
The Nine Lives of Schroedinger's Cat
LaTeX + 2 PostScript figures. Uses amstex and epsf.sty. Imperial College MSc dissertation
null
null
null
quant-ph
null
This MSc dissertation surveys nine interpretations of non-relativistic quantum mechanics. Extensive references are given. The interpretations covered are: the orthodox interpretation, Bohr's interpretation, the idea that the mind causes collapse, hidden variables, the many-worlds interpretation, the many-minds interpretation, Bohm's interpretation and two interpretations based on decoherent histories.
[ { "version": "v1", "created": "Mon, 16 Jan 1995 08:13:25 GMT" }, { "version": "v2", "created": "Tue, 17 Jan 1995 09:55:49 GMT" }, { "version": "v3", "created": "Thu, 19 Jan 1995 14:54:13 GMT" }, { "version": "v4", "created": "Thu, 26 Jan 1995 21:32:11 GMT" }, { "version": "v5", "created": "Fri, 27 Jan 1995 14:14:43 GMT" } ]
2008-02-03T00:00:00
[ [ "Schreiber", "Zvi", "" ] ]
quant-ph/9501015
Aephraim Steinberg
Aephraim M. Steinberg
How much time does a tunneling particle spend in the barrier region?
5 pages; no figures
Phys.Rev.Lett.74:2405-2409,1995
10.1103/PhysRevLett.74.2405
null
quant-ph
null
The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov et al. Various properties of the resulting time are discussed, including its close relation to the Larmor times. It is a universal description of a broad class of measurement interactions, and its physical implications are unambiguous.
[ { "version": "v1", "created": "Tue, 17 Jan 1995 20:01:22 GMT" } ]
2016-09-08T00:00:00
[ [ "Steinberg", "Aephraim M.", "" ] ]
quant-ph/9501016
Aephraim Steinberg
Raymond Y. Chiao, Paul G. Kwiat, Aephraim M. Steinberg
Quantum Nonlocality in Two-Photon Experiments at Berkeley
16 pages including 24 figures
null
10.1088/1355-5111/7/3/006
null
quant-ph
null
We review some of our experiments performed over the past few years on two-photon interference. These include a test of Bell's inequalities, a study of the complementarity principle, an application of EPR correlations for dispersion-free time-measurements, and an experiment to demonstrate the superluminal nature of the tunneling process. The nonlocal character of the quantum world is brought out clearly by these experiments. As we explain, however, quantum nonlocality is not inconsistent with Einstein causality.
[ { "version": "v1", "created": "Wed, 18 Jan 1995 13:16:57 GMT" } ]
2016-09-08T00:00:00
[ [ "Chiao", "Raymond Y.", "" ], [ "Kwiat", "Paul G.", "" ], [ "Steinberg", "Aephraim M.", "" ] ]
quant-ph/9501017
Marek Czachor
M. Czachor and A. Posiewnik
What happens to spin during the SO(3)->SE(2) contraction? (On spin and extended structures in quantum mechanics)
6 pages, REVTeX
null
null
null
quant-ph
null
It is shown that the spin operator can be described by an algebra which is in between so(3) and e(2). Relativistic version of the singlet state for two Dirac electrons is discussed. It is shown that a measure of massless particle's extension can be naturally constructed and that this measure corresponds at the classical level to the radius of the Robinson congruence.
[ { "version": "v1", "created": "Wed, 18 Jan 1995 23:51:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Czachor", "M.", "" ], [ "Posiewnik", "A.", "" ] ]
quant-ph/9501018
null
N.Brunner, K.Svozil and M.Baaz
Effective Quantum Observables
TeX-file, 32 pages
NuovoCim.B110:1397-1414,1995
10.1007/BF02849839
null
quant-ph
null
Thought experiments about the physical nature of set theoretical counterexamples to the axiom of choice motivate the investigation of peculiar constructions, e.g. an infinite dimensional Hilbert space with a modular quantum logic. Applying a concept due to BENIOFF, we identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with a failure of the axiom of choice. Here a self adjoint operator is intrinsically effective, iff the Schroedinger equation of its generated semigroup is soluble by means of eigenfunction series expansions.
[ { "version": "v1", "created": "Mon, 23 Jan 1995 11:45:36 GMT" } ]
2016-09-08T00:00:00
[ [ "Brunner", "N.", "" ], [ "Svozil", "K.", "" ], [ "Baaz", "M.", "" ] ]
quant-ph/9501019
Asher Peres
Asher Peres
Nonlocal effects in Fock space
final version in PRL 74 (1995) 4571; 76 (1996) 2205 (erratum)
Phys.Rev.Lett. 74 (1995) 4571; Erratum-ibid. 76 (1996) 2205
10.1103/PhysRevLett.74.4571
null
quant-ph
null
If a physical system contains a single particle, and if two distant detectors test the presence of linear superpositions of one-particle and vacuum states, a violation of classical locality can occur. It is due to the creation of a two-particle component by the detecting process itself.
[ { "version": "v1", "created": "Wed, 25 Jan 1995 07:52:34 GMT" }, { "version": "v2", "created": "Wed, 16 Sep 1998 12:20:01 GMT" } ]
2009-10-28T00:00:00
[ [ "Peres", "Asher", "" ] ]
quant-ph/9501020
Sandu Popescu
Sandu Popescu
An optical method for teleportation
minor changes and a reference added
null
null
null
quant-ph
null
A teleportation method using standard present day optical technology is presented.
[ { "version": "v1", "created": "Thu, 26 Jan 1995 14:11:15 GMT" }, { "version": "v2", "created": "Sun, 29 Jan 1995 15:19:26 GMT" } ]
2016-09-08T00:00:00
[ [ "Popescu", "Sandu", "" ] ]
quant-ph/9501021
null
A. Venugopalan, Deepak Kumar and R. Ghosh
Effect of Decoherence on Bell's Inequality for an EPR Pair
5 pages, revtex, no figures
null
null
SPS-JNU preprint
quant-ph
null
According to Bell's theorem, the degree of correlation between spatially separated measurements on a quantum system is limited by certain inequalities if one assumes the condition of locality. Quantum mechanics predicts that this limit can be exceeded, making it nonlocal. We analyse the effect of an environment modelled by a fluctuating magnetic field on the quantum correlations in an EPR singlet as seen in the Bell inequality. We show that in an EPR setup, the system goes from the usual 'violation' of Bell inequality to a 'non-violation' for times larger than a characteristic time scale which is related to the parameters of the fluctuating field. We also look at these inequalities as a function of the spatial separation between the EPR pair.
[ { "version": "v1", "created": "Fri, 27 Jan 1995 16:52:58 GMT" } ]
2016-09-08T00:00:00
[ [ "Venugopalan", "A.", "" ], [ "Kumar", "Deepak", "" ], [ "Ghosh", "R.", "" ] ]
quant-ph/9501022
null
A. Venugopalan, Deepak Kumar and R. Ghosh
Analysis of the Stern-Gerlach Measurement
6 pages, revtex, 3 post script figures available on request
null
null
SPS-JNU preprint
quant-ph
null
A dynamical model for the collapse of the wave function in a quantum measurement process is proposed by considering the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus interacting with an environment in a dissipative manner. The dissipative interaction leads to decoherence in the superposition states of the apparatus, making its behaviour classical in the sense that the density matrix becomes diagonal with time. Since the apparatus is also interacting with the system, the probabilities of the diagonal density matrix are determined by the state vector of the system. We consider a Stern-Gerlach type model, where a spin- 1/2 particle is in an inhomogeneous magnetic field, the whole set up being in contact with a large environment. Here we find that the density matrix of the combined system and apparatus becomes diagonal and the momentum of the particle becomes correlated with a spin operator, selected by the choice of the system-apparatus interaction. This allows for a measurement of spin via a momentum measurement on the particle with associated probabilities in accordance with quantum principles.
[ { "version": "v1", "created": "Fri, 27 Jan 1995 16:51:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Venugopalan", "A.", "" ], [ "Kumar", "Deepak", "" ], [ "Ghosh", "R.", "" ] ]
quant-ph/9501023
Benni Reznik
B. Reznik
Interaction with a pre and post selected environment and recoherence
17 pages, Latex.
null
null
TP-001-95
quant-ph gr-qc hep-th
null
The interaction of an open system $\s$ with a pre- and post-selected environment is studied. In general, under such circumstances $\s$ can not be described in terms of a density matrix, {\it even when $\s$ in not post-selected}. However, a simple description in terms of a two-state (TS) is always available. The two-state of $\s$ evolves in time from an initially `pure' TS to a `mixed' TS and back to a final `pure' TS. This generic process is governed by a modified Liouville equation, which is derived. For a sub-class of observables, which can still be described by an ordinary density matrix, this evolution generates recoherence to a final pure state. In some cases post-selection can even suppress any decoherence.
[ { "version": "v1", "created": "Tue, 31 Jan 1995 00:16:40 GMT" } ]
2016-09-08T00:00:00
[ [ "Reznik", "B.", "" ] ]
quant-ph/9502001
null
T. Calarco, R. Onofrio
Optimal Measurements of Magnetic Flux in Superconducting Circuits and Macroscopic Quantum Mechanics
11 pages (no figures), to be published in Physics Letters A
Phys. Lett. A 198 (1995) 279
10.1016/0375-9601(94)01020-U
DFPD 95/GP/01
quant-ph
null
A model of repeated quantum measurements of magnetic flux in superconducting circuits manifesting tunneling is discussed. The perturbation due to the previous measurements of magnetic flux is always present unless quantum nondemolition measurements are performed. By replacing the classical notion of noninvasivity with this condition, temporal Bell-like inequalities allows one to test the observability at the macroscopic level of the conflict between realism and quantum theory.
[ { "version": "v1", "created": "Wed, 1 Feb 1995 11:11:32 GMT" } ]
2009-10-28T00:00:00
[ [ "Calarco", "T.", "" ], [ "Onofrio", "R.", "" ] ]
quant-ph/9502002
Satoshi Uchiyama
S. Uchiyama (Hokkaido University)
Cannot Local Reality Exist in the EPR-Bohm Gedankenexperiment ?
13 pages, phyzzx, six figures available upon request.
null
10.1007/BF02055508
EPHOU-94-006
quant-ph
null
We model measuring processes of a single spin-1/2 object and of a pair of spin-1/2 objects in the EPR-Bohm state by systems of differential equations. Our model is a local model with hidden-variables of the EPR-Bohm Gedankenexperiment. Although there is no dynamical interaction between a pair of spin-1/2 objects, the model can reproduce approximately the quantum-mechanical correlations by the coincidence counting. Hence the Bell inequality is violated. This result supports the idea that the coincidence counting is the source of the non-locality in the EPR-Bohm Gedankenexperiment.
[ { "version": "v1", "created": "Thu, 2 Feb 1995 06:24:32 GMT" } ]
2016-09-08T00:00:00
[ [ "Uchiyama", "S.", "", "Hokkaido University" ] ]
quant-ph/9502003
Aephraim M. Steinberg
Aephraim M. Steinberg
Conditional probabilities in quantum theory, and the tunneling time controversy
11 pages, latex, 4 postscript figures separate (one w/ 3 parts)
Phys.Rev.A52:32-42,1995
10.1103/PhysRevA.52.32
null
quant-ph
null
It is argued that there is a sensible way to define conditional probabilities in quantum mechanics, assuming only Bayes's theorem and standard quantum theory. These probabilities are equivalent to the ``weak measurement'' predictions due to Aharonov {\it et al.}, and hence describe the outcomes of real measurements made on subensembles. In particular, this approach is used to address the question of the history of a particle which has tunnelled across a barrier. A {\it gedankenexperiment} is presented to demonstrate the physically testable implications of the results of these calculations, along with graphs of the time-evolution of the conditional probability distribution for a tunneling particle and for one undergoing allowed transmission. Numerical results are also presented for the effects of loss in a bandgap medium on transmission and on reflection, as a function of the position of the lossy region; such loss should provide a feasible, though indirect, test of the present conclusions. It is argued that the effects of loss on the pulse {\it delay time} are related to the imaginary value of the momentum of a tunneling particle, and it is suggested that this might help explain a small discrepancy in an earlier experiment.
[ { "version": "v1", "created": "Thu, 2 Feb 1995 22:17:17 GMT" } ]
2016-09-08T00:00:00
[ [ "Steinberg", "Aephraim M.", "" ] ]