An inequality relating the Wigner-Yanase information and the SLD-quantum Fisher information was established by Luo (Proc. Amer. Math. Soc., 132, pp. 885-890, 2004). In this paper, we generalize Luo's inequality to any regular quantum Fisher information. Moreover, we show that this general inequality can be derived from the Kubo-Ando inequality, which states that any matrix mean is greater than the harmonic mean and smaller than the arithmetic mean.
Gibilisco, P., Imparato, D., Isola, T. (2009). Inequalities for quantum Fisher information. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(1), 317-327 [10.1090/S0002-9939-08-09447-1].
Inequalities for quantum Fisher information
GIBILISCO, PAOLO;ISOLA, TOMMASO
2009-01-01
Abstract
An inequality relating the Wigner-Yanase information and the SLD-quantum Fisher information was established by Luo (Proc. Amer. Math. Soc., 132, pp. 885-890, 2004). In this paper, we generalize Luo's inequality to any regular quantum Fisher information. Moreover, we show that this general inequality can be derived from the Kubo-Ando inequality, which states that any matrix mean is greater than the harmonic mean and smaller than the arithmetic mean.| File | Dimensione | Formato | |
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