On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two

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On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two

In the present paper we study forward Quantum Markov Chains (QMC) defined on Cayley tree. A construction of such QMC is provided, namely we construct states on finite volumes with boundary conditions, and define QMC as a weak limit of those states which depends on the boundary conditions. Using the...

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Bibliographic Details
Main Authors:	Accardi, Luigi, Mukhamedov, Farrukh, Saburov, Mansoor
Format:	Article
Language:	English
Published:	World Scientific Publishing 2011
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/6519/ http://irep.iium.edu.my/6519/1/acmfms-idaqp%282011%29.pdf

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