FROM QUASI-ENTROPY TO SKEW INFORMATION
FROM QUASI-ENTROPY TO SKEW INFORMATION
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 …