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Entropy 2015, 17(4), 1634-1659; doi:10.3390/e17041634

Quantum Discord and Information Deficit in Spin Chains

Departamento de Física-IFLP, Universidad Nacional de La Plata, C.C.67, La Plata 1900, Argentina
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Academic Editors: Demosthenes Ellinas, Giorgio Kaniadakis, Jiannis Pachos and Antonio M. Scarfone
Received: 14 January 2015 / Revised: 19 March 2015 / Accepted: 19 March 2015 / Published: 26 March 2015
(This article belongs to the Special Issue Quantum Computation and Information: Multi-Particle Aspects)
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Abstract

We examine the behavior of quantum correlations of spin pairs in a finite anisotropic XY spin chain immersed in a transverse magnetic field, through the analysis of the quantum discord and the conventional and quadratic one-way information deficits. We first provide a brief review of these measures, showing that the last ones can be obtained as particular cases of a generalized information deficit based on general entropic forms. All of these measures coincide with an entanglement entropy in the case of pure states, but can be non-zero in separable mixed states, vanishing just for classically correlated states. It is then shown that their behavior in the exact ground state of the chain exhibits similar features, deviating significantly from that of the pair entanglement below the critical field. In contrast with entanglement, they reach full range in this region, becoming independent of the pair separation and coupling range in the immediate vicinity of the factorizing field. It is also shown, however, that significant differences between the quantum discord and the information deficits arise in the local minimizing measurement that defines them. Both analytical and numerical results are provided. View Full-Text
Keywords: quantum correlations; entropic measures; quantum discord; information deficit; spin systems quantum correlations; entropic measures; quantum discord; information deficit; spin systems
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Canosa, N.; Ciliberti, L.; Rossignoli, R. Quantum Discord and Information Deficit in Spin Chains. Entropy 2015, 17, 1634-1659.

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