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A Class of Quantum Markov Fields on Tree-like Graphs: Ising-type Model on a Husimi Tree
Journal article   Peer reviewed

A Class of Quantum Markov Fields on Tree-like Graphs: Ising-type Model on a Husimi Tree

Abdessatar Souissi
Open systems & information dynamics, Vol.28(1), p.2150004
01/03/2021
DOI: https://doi.org/10.1142/S1230161221500049

Abstract

Mathematics Physical Sciences Physics Physics, Mathematical Science & Technology Statistics & Probability
A new class of forward quantum Markov fields (FQMFs) is introduced. The structure of these quantum Markov fields is investigated in the finer structure of a quasi-local algebra of observable over a tree-like graph. We provide an effective construction of a class of FQMCs. Moreover, we show the existence of three FMRFs associated with an Ising type model on a Husimi tree.

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