On the asymmetry of the relative entropy

被引：10
|
作者：
Audenaert, Koenraad M. R. [1 ]
机构：
[1] Univ London, Dept Math, Egham TW20 0EX, Surrey, England
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 07期
关键词：
D O I：
10.1063/1.4811856
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The quantum relative entropy S(rho parallel to sigma) is a widely used dissimilarity measure between quantum states, but it has the peculiarity of being asymmetric in its arguments. We quantify the amount of asymmetry by providing a sharp upper bound in terms of two parameters: the trace norm distance between the two states, and the smallest of the smallest eigenvalues of both states. The bound is essentially the asymmetry between two binary distributions governed by these two parameters. (C) 2013 AIP Publishing LLC.
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页数：6
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