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arXiv · 2107.07469

Refinement of quantum Markov states on trees

Farrukh Mukhamedov·Abdessatar Souissi
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Abstract

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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Farrukh Mukhamedov, Abdessatar Souissi. 2021-07-15. Refinement of quantum Markov states on trees. https://doi.org/10.1088/1742-5468%2Fac150b

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