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29 March 2024
 
  » arxiv » math-ph/0702058

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Inequalities for quantum Fisher information
Paolo Gibilisco ; Daniele Imparato ; Tommaso Isola ;
Date 16 Feb 2007
Subject Mathematical Physics; Statistics
AbstractIn 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
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