Refinement of quantum Markov states on trees
Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, PO Box 15551, Al Ain, Abu Dhabi, United Arab EmiratesAbdessatar SouissiDepartment of Accounting, College of Business Management, Qassim University, Ar Rass, Saudi Arabia
2021en
ABI
Annotatsiya
Abstract 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.
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