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Refinement of quantum Markov states on trees

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 Publication date 2021
  fields Physics
and research's language is English




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In the present paper, we propose a refinement for the notion of quantum Markov states (QMS) on trees. A structure theorem for QMS on general trees is proved. We notice that any restriction of QMS in the sense of Ref. cite{AccFid03} is not necessarily to be a QMS. It turns out that localized QMS has the mentioned property which is called textit{sub-Markov states}, this allows us to characterize translation invariant QMS on regular trees.



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