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Nonadditive entropies and quantum entanglement

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  • Abe, Sumiyoshi

Abstract

Generalized quantum information theory is developed based on the nonadditive Tsallis entropy indexed by q. To see how this formalism is superior to the ordinary additive theory with the von Neumann entropy realized in the limit q→1, the problem of quantum entanglement of mixed states is discussed. It is shown that, for the parameterized Werner–Popescu-type state of a general Nn-system (i.e., an n-partite N-level system), the present approach leads to the limitation on validity of local realism, which is stronger than that derived from the additive theory.

Suggested Citation

  • Abe, Sumiyoshi, 2002. "Nonadditive entropies and quantum entanglement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 316-322.
    • Handle: RePEc:eee:phsmap:v:306:y:2002:i:c:p:316-322
    DOI: 10.1016/S0378-4371(02)00508-3
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    Cited by:

    1. Gillard, Nicolas & Belin, Etienne & Chapeau-Blondeau, François, 2018. "Enhancing qubit information with quantum thermal noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 219-230.
    2. 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.

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