The Θ-KMS adjoint and time reversed quantum Markov semigroups
Jorge R. Bolaños-Servín, Roberto Quezada · Infinite Dimensional Analysis Quantum Probability and Related Topics · 2015
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.