Construction of a new class of quantum Markov fields

Luigi Accardi, Farrukh Mukhamedov, Abdessatar Souissi

Research output: Contribution to journalArticlepeer-review

6 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 languageEnglish
Pages (from-to)206-218
Number of pages13
JournalAdvances in Operator Theory
Volume1
Issue number2
DOIs
Publication statusPublished - Sep 1 2016

Keywords

  • Construction
  • Graph
  • Quantum Markov field
  • Tessellation

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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