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

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.

Automated summary

The paper is a continuation of previous work on Quantum Markov Chains (QMC) associated with Open Quantum Random Walks and investigates the recurrence property of QMC. In this study, the recurrence and accessibility of QMC over trees are defined and the recurrence property of QMC associated with Open Quantum Random Walks is discussed.