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Abstract: This paper gives an overview about particular quasi-entropies, generalizedquantum covariances, quantum Fisher informations, skew-informations and theirrelations. The point is the dependence on operator monotone functions. It isproven that a skew-information is the Hessian of a quasi-entropy. Theskew-information and some inequalities are extended to a von Neumann algebrasetting.



Author: Denes Petz, V.E. Sandor Szabo

Source: https://arxiv.org/



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