Bounds on general entropy measures

被引：32

作者：

Berry, DW ^{[1
]}

Sanders, BC ^{[1
]}

机构：

[1] Macquarie Univ, Dept Phys, Australian Ctr Quantum Comp Technol, Sydney, NSW 2109, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 49期

关键词：

D O I：

10.1088/0305-4470/36/49/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show how to determine the maximum and minimum possible values of one measure of entropy for a given value of another measure of entropy. These maximum and minimum values are obtained for two standard forms of probability distribution (or quantum state) independent of the entropy measures, provided the entropy measures satisfy a concavity/convexity relation. These results may be applied to entropies for classical probability distributions, entropies of mixed quantum states and measures of entanglement for pure states.

引用

页码：12255 / 12265

页数：11

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