Tree-Homogeneous Quantum Markov Chains

Abdessatar Souissi, Farrukh Mukhamedov, Abdessatar Barhoumi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We clarify the structure of tree-homogeneous quantum Markov chains (THQMC) as a multi-dimensional quantum extension of homogeneous Markov chains. We provide a construction of a class of quantum Markov chains on the Cayley tree based on open quantum random walks. Moreover, we prove the uniqueness of THQMC for the construction under consideration, which means the absence of phase transitions.

Original languageEnglish
Article number19
JournalInternational Journal of Theoretical Physics
Volume62
Issue number2
DOIs
Publication statusPublished - Feb 2023

Keywords

  • Cayley tree
  • Disordered phase
  • Markov chains
  • Random walks

ASJC Scopus subject areas

  • General Mathematics
  • Physics and Astronomy (miscellaneous)

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