Open quantum random walks and quantum Markov Chains on trees II: the recurrence

Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi, Amenallah Andolsi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The present paper is a continuation of earlier appeared work, where we have constructed Quantum Markov Chains (QMC) associated with Open Quantum Random Walks and discussed a phase transition phenomena within the proposed scheme. In the current work, we define the recurrence and accessibility of within QMC over trees. Moreover, the recurrence property of QMC associated with Open Quantum Random Walks is investigated.

Original languageEnglish
Article number232
JournalQuantum Information Processing
Volume22
Issue number6
DOIs
Publication statusPublished - Jun 2023

Keywords

  • Accessibility
  • Cayley tree
  • Open quantum random walks
  • Quantum Markov chain
  • Recurrence

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering

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