New features of quantum discord uncovered by q-entropies

A.P. Majtey, A.R. Plastino and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 7, 2491-2499

Abstract: The notion of quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett 88 (2001) 017901] (see also Henderson and Vedral [J. Phys. A 34 (2001) 6899] ) has attracted increasing attention, in recent years, as an entropic quantifier of non-classical features pertaining to the correlations exhibited by bipartite quantum systems. Here we generalize the notion so as to encompass power-law q-entropies (that reduce to the standard Shannon entropy in the limit q→1) and study the concomitant consequences. The ensuing, new discord-like measures we advance describe aspects of non-classicality that are different from those associated with the standard quantum discord. A particular manifestation of this difference concerns a feature related to order. Let D1 stand for the standard, Shannon-based discord measure and Dq for the q≠1 one. If two quantum states A,B are such that D1(A)>D1(B), this order-relation does not remain invariant under a change from D1 to Dq.

Keywords: Quantum information; Quantum discord; Tsallis entropy; Mutual information (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:7:p:2491-2499

DOI: 10.1016/j.physa.2011.11.062

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