Quantum Markov Chains and Ising model on Cayley tree

Mukhamedov, Farrukh and Saburov, Mansoor (2013) Quantum Markov Chains and Ising model on Cayley tree. In: Quantum Bio-Informatics II 2011, 7-8 July 2013, Japan.

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Abstract

In the present paper wes tudy forward Quantum Markov Chains (QMC)associated with Ising model on Cayley tree of order k. Using the tree structure of graphs, we give a construction of Quantum Markov Chains on a Cayley tree. By means of such construction we prove the existance of a phase transition for the Ising model on a Cayley tree of order k in QMC scheme. By the phase transition we mean the existance of two not quasi equivelant QMC for the given family of interaction operators.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	5537/29331. Proceeding of Quantum Bio-Informatics II 2011
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	18 Mar 2013 09:14
Last Modified:	11 May 2016 15:52
URI:	http://irep.iium.edu.my/id/eprint/29331

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