Continuity of the relative entropy of resource

被引：1

作者：

Lami, Ludovico ^{[1
,2
]}

Shirokov, Maksim ^{[3
,4
]}

机构：

[1] Univ Amsterdam, Korteweg de Vries Inst Math, Inst Theoret Phys, Amsterdam, Netherlands

[2] Univ Amsterdam, QuSoft, Amsterdam, Netherlands

[3] Steklov Math Inst, Moscow, Russia

[4] Moscow Inst Phys & Technol, Moscow, Russia

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2024年 / 22卷 / 05期

关键词：

Quantum state; free state; quantum channel; quantum relative entropy; relative entropy of pi-entanglement; weak*-topology on the set of trace class operators; CRITERION;

D O I：

10.1142/S0219749924400094

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present a criterion to establish the local continuity of the relative entropy of resource, i.e. the relative entropy distance to the set of free states, in any quantum resource theory. Several basic corollaries of this criterion are presented. Applications to the relative entropy of entanglement in multipartite quantum systems are considered. It is shown, in particular, that local continuity of any relative entropy of multipartite entanglement follows from local continuity of the quantum mutual information.

引用

页码：1 / 14

页数：14

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