Construction of a new class of quantum Markov fields

Luigi Accardi; Farrukh Mukhamedov; Abdessatar Souissi

doi:10.22034/aot.1610.1031

Construction of a new class of quantum Markov fields

Luigi Accardi, Farrukh Mukhamedov, Abdessatar Souissi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In the present paper, we propose a new construction of quantum Markov fields on arbitrary connected, infinite, locally finite graphs. The construction is based on a specific tessellation on the considered graph, that allows us to express the Markov property for the local structure of the graph. Our main result concerns the existence and uniqueness of quantum Markov field over such graphs.

Original language	English
Pages (from-to)	206-218
Number of pages	13
Journal	Advances in Operator Theory
Volume	1
Issue number	2
DOIs	https://doi.org/10.22034/aot.1610.1031
Publication status	Published - Sept 1 2016

Keywords

Construction
Graph
Quantum Markov field
Tessellation

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.22034/aot.1610.1031

Cite this

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KW - Tessellation

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Construction of a new class of quantum Markov fields

Abstract

Keywords

ASJC Scopus subject areas

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