Refinement of quantum Markov states on trees
Mathematical Physics
2021-09-01 v1 Functional Analysis
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2107.07469,
title = {Refinement of quantum Markov states on trees},
author = {Farrukh Mukhamedov and Abdessatar Souissi},
journal= {arXiv preprint arXiv:2107.07469},
year = {2021}
}
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17 pages