Refinement of quantum Markov states on trees

Farrukh Mukhamedov, Abdessatar Souissi

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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 reference Accardi and Fidaleo (2003 J. Funct. Anal. 200 324–347) 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.

Original languageEnglish
Article number083103
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number8
Publication statusPublished - Aug 2021


  • Correlation functions
  • Networks
  • Quantum phase transitions
  • Random graphs
  • Solvable lattice models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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