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arXiv · 1309.7091

Infinite Dimensional Choi-Jamiolkowski States and Time Reversed Quantum Markov Semigroups

Jorge R. Bolanos-Servin·Roberto Quezada
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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.

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Jorge R. Bolanos-Servin, Roberto Quezada. 2013-09-27. Infinite Dimensional Choi-Jamiolkowski States and Time Reversed Quantum Markov Semigroups. https://arxiv.org/abs/1309.7091

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