Inequalities for quantum Fisher information

Details Inequalities for quantum Fisher information Inequalities for quantum Fisher information

2007-02-16

arxiv.org/abs/math-ph/0702058v1

Physics

Mathematical Physics

10 pages

Scientific paper

In 2003 Luo proved an inequality relating the Wigner-Yanase information and the $SLD$-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.

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