Lower semicontinuity of relative entropy disturbance and its consequences

被引：0

作者：

Shirokov, M. E. ^{[1
]}

机构：

[1] Steklov Math Inst Russian Acad Sci, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2024年 / 215卷 / 11期

关键词：

Hilbert space; trace-class operator; quantum state; lower semi-continuous function; quantum operation; strong convergence of quantumoperations; QUANTUM; INFORMATION; SUFFICIENCY; CHANNELS; MAPS;

D O I：

10.4213/sm10107e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the decrease of quantum relative entropy under the action of a quantum operation is a lower semicontinuous function of the pair of its arguments. This property implies, in particular, that the local discontinuity jumps of the quantum relative entropy do not increase under the action of quantum operations. It also implies the lower semicontinuity of the modulus of the joint convexity of quantum relative entropy (as a function of ensembles of quantum states).

引用

页码：1549 / 1581

页数：33

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