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General non-additive entropic forms and the inference of quantum density operators

Author

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  • Canosa, N.
  • Rossignoli, R.

Abstract

We discuss a general formalism for the inference of quantum density operators from incomplete information, based on the maximization of general non-additive entropic forms, and its application to the reconstruction of mixed states of composite quantum systems from generalized Bell measurements. The method provides a direct way to infer least biased densities with minimum entanglement for any data determined by Bell constraints in two qubit systems, in contrast with the conventional scheme based on the von Neumann entropy. In particular, it is shown that in this case fake entanglement is always avoided for large q when the Tsallis entropy is employed.

Suggested Citation

  • Canosa, N. & Rossignoli, R., 2005. "General non-additive entropic forms and the inference of quantum density operators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 121-130.
    • Handle: RePEc:eee:phsmap:v:348:y:2005:i:c:p:121-130
    DOI: 10.1016/j.physa.2004.09.008
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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.

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