From quasi-entropy to skew information

Details From quasi-entropy to skew information From quasi-entropy to skew information

2007-12-18

arxiv.org/abs/0712.2881v1

Mathematics

Functional Analysis

12 pages

Scientific paper

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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