dorsal/arxiv
View SchemaMarkov shift on non-commutative probability
| Authors | Anilesh Mohari |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205086 |
| URL | https://arxiv.org/abs/quant-ph/0205086 |
Abstract
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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"abstract": "We consider a class of quantum dissipative semigroup on a von-Neumann algebra\nwhich admits a normal invariant state. We investigate asymptotic behavior of\nthe dissipative dynamics and their relation to that of the canonical Markov\nshift. In case the normal invariant state is also faithful, we also extend the\nnotion of `quantum detailed balance\u0027 introduced by Frigerio-Gorini and prove\nthat forward weak Markov process and backward weak Markov process are\nequivalent by an anti-unitary operator.",
"arxiv_id": "quant-ph/0205086",
"authors": [
"Anilesh Mohari"
],
"categories": [
"quant-ph"
],
"title": "Markov shift on non-commutative probability",
"url": "https://arxiv.org/abs/quant-ph/0205086"
},
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