The Θ-KMS adjoint and time reversed quantum Markov semigroups-Reference-Cited by-同舟云学术

The Θ-KMS adjoint and time reversed quantum Markov semigroups

Published:2015-09 Issue:03 Volume:18 Page:1550016
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Bolaños-Servin Jorge R.¹,Quezada Roberto¹

Affiliation:

1. Universidad Autónoma Metropolitana, Iztapalapa Campus, Av. San Rafael Atlixco 186, Col. Vicentina, 09340 Iztapalapa D.F., Mexico

Abstract

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

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025715500162

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