The Θ-KMS adjoint and time reversed quantum Markov semigroups

被引：7

作者：

Bolanos-Servin, Jorge R. ^{[1
]}

Quezada, Roberto ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Iztapalapa 09340, DF, Mexico

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2015年 / 18卷 / 03期

关键词：

Theta-KMS adjoint; states associated with CP maps; von Neumann relative entropy; quantum entropy production; DETAILED BALANCE; ENTROPY PRODUCTION; DIRICHLET FORMS; GENERATORS;

D O I：

10.1142/S0219025715500162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of Theta-KMS adjoint of a quantum Markov semigroup, which is identified with the time reversed semigroup. The break of Theta-KMS symmetry, or Theta-standard quantum detailed balance in the sense of Fagnola-Umanita, (11) is measured by means of the von Neumann relative entropy of states associated with the semigroup and its Theta-KMS adjoint.

引用

页数：16

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