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:
Online Access:http://irep.iium.edu.my/6519/1/acmfms-idaqp%282011%29.pdf
http://irep.iium.edu.my/6519/
http://www.worldscinet.com/idaqp/14/preserved-docs/1403/S021902571100447X.pdf
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