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Inequalities for quantum Fisher information | Paolo Gibilisco
; Daniele Imparato
; Tommaso Isola
; | Date: |
16 Feb 2007 | Subject: | Mathematical Physics; Statistics | Abstract: | 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. | Source: | arXiv, math-ph/0702058 | Services: | Forum | Review | PDF | Favorites |
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