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Generalized disorder measures and the detection of quantum entanglement

R. Rossignoli and N. Canosa

Physica A: Statistical Mechanics and its Applications, 2004, vol. 344, issue 3, 637-643

Abstract: We discuss the main properties of general non-additive entropic forms based on arbitrary concave functions and their relation with the theory of majorization. As application, we examine the generalized entropic criterion for separability of mixed states of composite quantum systems, where non-additive disorder measures play a fundamental role. These features are then analyzed in two-qubit and two-qudit systems, where it is seen that the von Neumann-based criterion is especially weak for detecting entanglement, in contrast with those based on the Tsallis and other non-additive disorder measures.

Keywords: Generalized entropies; Quantum entanglement (search for similar items in EconPapers)
Date: 2004
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:344:y:2004:i:3:p:637-643

DOI: 10.1016/j.physa.2004.06.044

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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