Operator extension of strong subadditivity of entropy

被引：16

作者：

Kim, Isaac H. ^{[1
]}

机构：

[1] CALTECH, Inst Quantum Informat, Pasadena, CA 91125 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 12期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.4769176

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove an operator inequality that extends strong subadditivity of entropy: after taking a trace, the operator inequality becomes the strong subadditivity of entropy. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4769176]

引用

页数：3

共 14 条

[1] [Anonymous], PREPRINT
[2] [Anonymous], PREPRINT
[3] Bhatia R., 1997, Matrix Analysis
[4] Geometric entropy, area and strong subadditivity
Casini, H
[J]. CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (09) : 2351 - 2378
[5] A finite entanglement entropy and the c-theorem
Casini, H
Huerta, M
[J]. PHYSICS LETTERS B, 2004, 600 (1-2) : 142 - 150
[6] A matrix convexity approach to some celebrated quantum inequalities
Effros, Edward G.
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2009, 106 (04) : 1006 - 1008
[7] Entanglement entropy of gapped phases and topological order in three dimensions
Grover, Tarun
Turner, Ari M.
Vishwanath, Ashvin
[J]. PHYSICAL REVIEW B, 2011, 84 (19)
[8] Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-Abelian fractional quantum Hall effect states
Li, Hui
Haldane, F. D. M.
[J]. PHYSICAL REVIEW LETTERS, 2008, 101 (01)
[9] PROOF OF STRONG SUBADDITIVITY OF QUANTUM-MECHANICAL ENTROPY
LIEB, EH
RUSKAI, MB
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (12) : 1938 - 1941
[10] Nielsen M. A, 2002, QUANTUM COMPUTATION

← 1 2 →