Ruminations on matrix convexity and the strong subadditivity of quantum entropy

被引：2
|
作者：
Aizenman, Michael [1 ,2 ]
Cipolloni, Giorgio [3 ]
机构：
[1] Princeton Univ, Dept Phys & Math, Princeton, NJ 08544 USA
[2] Weizmann Inst Sci, Rehovot, Israel
[3] Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2023年 / 113卷 / 01期
关键词：
Matrix convexity; Quantum entropy; Strong subadditivity; Parallel sums;
D O I：
10.1007/s11005-023-01638-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The familiar second derivative test for convexity, combined with resolvent calculus, is shown to yield a useful tool for the study of convex matrix-valued functions. We demonstrate the applicability of this approach on a number of theorems in this field. These include convexity principles which play an essential role in the Lieb-Ruskai proof of the strong subadditivity of quantum entropy.
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页数：15
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