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arXiv · 0712.2881

From quasi-entropy to skew information

Denes Petz·V. E. Sandor Szabo
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Abstract

This paper gives an overview about particular quasi-entropies, generalized quantum covariances, quantum Fisher informations, skew-informations and their relations. The point is the dependence on operator monotone functions. It is proven that a skew-information is the Hessian of a quasi-entropy. The skew-information and some inequalities are extended to a von Neumann algebra setting.

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BibTeXRIS

Denes Petz, V. E. Sandor Szabo. 2007-12-18. From quasi-entropy to skew information. https://arxiv.org/abs/0712.2881

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