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

被引：0
作者：
Farrukh Mukhamedov
Abdessatar Souissi
Tarek Hamdi
Amenallah Andolsi
机构：
[1] United Arab Emirates University,Department of Mathematical Sciences, College of Science
[2] Institute of Mathematics Named After V.I.Romanovski,Department of Accounting, College of Business Management
[3] Qassim University,Preparatory Institute for Scientific and Technical Studies
[4] Carthage University,Laboratoire d’Analyse Mathématiques et Applications LR11ES11
[5] Université de Tunis El-Manar,Nuclear Physics and High Energy Physics Research Unit, Faculty of Sciences of Tunis
[6] University of Tunis El Manar,undefined
来源：
Quantum Information Processing | / 22卷
关键词：
Open quantum random walks; Quantum Markov chain; Accessibility; Recurrence; Cayley tree; 46L53; 46L60; 82B10;
D O I：
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学科分类号：
摘要：
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.
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