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Quantum Simulation Entanglement Theory Quantum Correlations

Refinement of quantum Markov states on trees

arXiv

Authors: Farrukh Mukhamedov, Abdessatar Souissi

Year

2021

Paper ID

63196

Status

Preprint

Abstract Read

~2 min

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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 sub-Markov states, this allows us to characterize translation invariant QMS on regular trees.

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In the present paper, we propose a refinement for the notion of quantum Markov states (QMS) on trees.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2107.07469 [2] arXiv https://arxiv.org/abs/2107.07469 [3] Publisher https://arxiv.org/abs/2107.07469

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