Inequalities for quantum Fisher information
Mathematical Physics
2011-11-10 v1 math.MP
Statistics Theory
Statistics Theory
Abstract
In 2003 Luo proved an inequality relating the Wigner-Yanase information and the -information. In this paper we prove that Luo's inequality is a particular case of a general inequality which holds for any regular quantum Fisher information. Moreover we show that this general inequality is a consequence of the Kubo-Ando inequality that states that any matrix mean is bigger than the harmonic mean and smaller than the arithmetic mean.
Cite
@article{arxiv.math-ph/0702058,
title = {Inequalities for quantum Fisher information},
author = {Paolo Gibilisco and Daniele Imparato and Tommaso Isola},
journal= {arXiv preprint arXiv:math-ph/0702058},
year = {2011}
}
Comments
10 pages