From quasi-entropy to skew information
Functional Analysis
2007-12-19 v1 Mathematical Physics
math.MP
Statistics Theory
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0712.2881,
title = {From quasi-entropy to skew information},
author = {Denes Petz and V. E. Sandor Szabo},
journal= {arXiv preprint arXiv:0712.2881},
year = {2007}
}
Comments
12 pages