Bregman divergence as relative operator entropy

被引：15
|
作者：
Petz, D. [1 ]
机构：
[1] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1053 Budapest, Hungary
来源：
ACTA MATHEMATICA HUNGARICA | 2007年 / 116卷 / 1-2期
关键词：
Bregman divergence; f-divergence; quantum relative entropy;
D O I：
10.1007/s10474-007-6014-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Bregman operator divergence is introduced for density matrices by differentiation of the matrix-valued function x -> x log x. This quantity is compared with the relative operator entropy of Fujii and Kamei. It turns out that the trace is the usual Umegaki's relative entropy which is the only intersection of the classes of quasi-entropies and Bregman divergences.
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页码：127 / 131
页数：5
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