Infinite Dimensional Choi-Jamiolkowski States and Time Reversed Quantum Markov Semigroups
Mathematical Physics
2013-09-30 v1 math.MP
Quantum Physics
Abstract
We propose a definition of infinite dimensional Choi-Jamiolkowski state associated with a completely positive trace preserving map. We introduce the notion of Theta-KMS adjoint of a quantum Markov semigroup, which is identified with the time reversed semigroup. The break down of Theta-KMS symmetry (or Theta-standard quantum detailed balance in the sense of Fagnola-Umanita) is measured by means of the von Neumann relative entropy of the Choi-Jamiolkowski states associated with the semigroup and its Theta-KMS adjoint.
Cite
@article{arxiv.1309.7091,
title = {Infinite Dimensional Choi-Jamiolkowski States and Time Reversed Quantum Markov Semigroups},
author = {Jorge R. Bolanos-Servin and Roberto Quezada},
journal= {arXiv preprint arXiv:1309.7091},
year = {2013}
}
Comments
Manuscript submitted to Infinite Dimensional Analysis, Quantum Probability and Related Topics