Area law for fixed points of rapidly mixing dissipative quantum systems

被引：26

作者：

Brandao, Fernando G. S. L. ^{[1
,2
]}

Cubitt, Toby S. ^{[2
,3
]}

Lucia, Angelo ^{[4
]}

Michalakis, Spyridon ^{[5
]}

Perez-Garcia, David ^{[4
,6
,7
]}

机构：

[1] Microsoft Res, Quantum Architectures & Computat Grp, Redmond, WA 98052 USA

[2] UCL, Dept Comp Sci, London WC1E 6BT, England

[3] Univ Cambridge, DAMTP, Cambridge, England

[4] Univ Complutense Madrid, Dept Anal Matemat, Madrid, Spain

[5] CALTECH, Inst Quantum Informat & Matter, Pasadena, CA 91125 USA

[6] Univ Complutense Madrid, IMI, Madrid, Spain

[7] ICMAT, Madrid 28049, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 10期

基金：

英国工程与自然科学研究理事会; 欧洲研究理事会;

关键词：

EXPONENTIAL DECAY; SPIN SYSTEMS; CONTINUITY; ENTANGLEMENT; STABILITY; BOUNDS;

D O I：

10.1063/1.4932612

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure or the system is frustration free. (C) 2015 AIP Publishing LLC.

引用

页数：15

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