From quasi-entropy to skew information

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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.
12 pages

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Functional Analysis, Mathematical Physics, Statistics Theory, 15A63, 47N50, 46L60, 94A17

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http://salesiana.dossiersoluciones.com/handle/123456789/144482

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.2881
 http://arxiv.org/abs/0712.2881

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arXiv