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Open Quantum Systems Decoherence
Infinite Dimensional Choi-Jamiolkowski States and Time Reversed Quantum Markov Semigroups
arXiv
Authors: Jorge R. Bolanos-Servin, Roberto Quezada
Year
2013
Paper ID
32499
Status
Preprint
Abstract Read
~2 min
Abstract Words
75
Citations
N/A
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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- We propose a definition of infinite dimensional Choi-Jamiolkowski state associated with a completely positive trace preserving map.
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