Quantum Conditional Mutual Information and Approximate Markov Chains

被引：173

作者：

Fawzi, Omar ^{[1
,2
]}

Renner, Renato ^{[1
]}

机构：

[1] ETH, Inst Theoret Phys, Zurich, Switzerland

[2] Univ Lyon, ENS Lyon, LIP, ENS Lyon CNRS UCBL INRIA UMR 5668, Lyon, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 340卷 / 02期

基金：

欧洲研究理事会; 瑞士国家科学基金会;

关键词：

Density Operator; Relative Entropy; Trace Distance; Conditional Mutual Information; Strong Subadditivity;

D O I：

10.1007/s00220-015-2466-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A state on a tripartite quantum system forms a Markov chain if it can be reconstructed from its marginal on by a quantum operation from B to . We show that the quantum conditional mutual information I(A : C|B) of an arbitrary state is an upper bound on its distance to the closest reconstructed state. It thus quantifies how well the Markov chain property is approximated.

引用

页码：575 / 611

页数：37