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Generalized entropies and quantum entanglement

Author

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  • Canosa, N.
  • Rossignoli, R.

Abstract

We discuss the fundamental properties of general entropic forms based on arbitrary concave functions and their application to current problems of quantum information theory. It is first shown that the extended formalism allows to construct, for a two-qubit system, least biased density operators which possess minimum entanglement for any data based on Bell constraints, avoiding fake entanglement. We next discuss the generalized entropic criterion for separability of mixed states of bipartite quantum systems, and its relation with the disorder criterion.

Suggested Citation

  • Canosa, N. & Rossignoli, R., 2003. "Generalized entropies and quantum entanglement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(3), pages 371-376.
    • Handle: RePEc:eee:phsmap:v:329:y:2003:i:3:p:371-376
    DOI: 10.1016/S0378-4371(03)00617-4
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    Cited by:

    1. Chapeau-Blondeau, François, 2014. "Tsallis entropy for assessing quantum correlation with Bell-type inequalities in EPR experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 204-215.
    2. Bosyk, G.M. & Sergioli, G. & Freytes, H. & Holik, F. & Bellomo, G., 2017. "Approximate transformations of bipartite pure-state entanglement from the majorization lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 403-411.

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