From quasi-entropy to skew information
نویسندگان
چکیده
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 skewinformation and some inequalities are extended to a von Neumann algebra setting. 2000 Mathematics Subject Classification. Primary 15A63, 94A17; Secondary 47N50, 46L60.
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