Markov shift on non-commutative probability

Details Markov shift on non-commutative probability Markov shift on non-commutative probability

2002-05-15

arxiv.org/abs/quant-ph/0205086v1

Physics

Quantum Physics

33 pages, no figure, latex format

Scientific paper

We consider a class of quantum dissipative semigroup on a von-Neumann algebra which admits a normal invariant state. We investigate asymptotic behavior of the dissipative dynamics and their relation to that of the canonical Markov shift. In case the normal invariant state is also faithful, we also extend the notion of `quantum detailed balance' introduced by Frigerio-Gorini and prove that forward weak Markov process and backward weak Markov process are equivalent by an anti-unitary operator.

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