Generalized Log-Majorization and Multivariate Trace Inequalities

被引：9
|
作者：
Hiai, Fumio [1 ]
Konig, Robert [2 ]
Tomamichel, Marco [3 ,4 ]
机构：
[1] Tohoku Univ, Sendai, Miyagi, Japan
[2] Tech Univ Munich, Inst Adv Study & Zentrum Math, Garching, Germany
[3] Univ Sydney, Sch Phys, Sydney, NSW, Australia
[4] Univ Technol Sydney, Ctr Quantum Software & Informat, Sydney, NSW, Australia
来源：
ANNALES HENRI POINCARE | 2017年 / 18卷 / 07期
关键词：
D O I：
10.1007/s00023-017-0569-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality (Sutter et al. in Commun Math Phys, 2016. doi: 10.1007/s00220-016-2778-5) for Schatten norms hold more generally for all unitarily invariant norms and certain variations thereof. The main technical contribution is a generalization of the concept of log-majorization which allows us to treat majorization with regard to logarithmic integral averages of vectors of singular values.
引用
收藏
页码：2499 / 2521
页数：23
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