Quantum Markov Chains and Ising model on Cayley tree

Quantum Markov Chains and Ising model on Cayley tree

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...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Other Authors: Accardi, Luigi
Format: Conference or Workshop Item
Language:English
Published: WorldScientific 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/29331/
http://irep.iium.edu.my/29331/1/mfms-QP-QP-2013.pdf
id iium-29331
recordtype eprints
spelling iium-293312016-05-11T07:52:56Z http://irep.iium.edu.my/29331/ Quantum Markov Chains and Ising model on Cayley tree Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics 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. WorldScientific Accardi, Luigi Freudenberg, Wolfgang Ohya, Masanori 2013 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/29331/1/mfms-QP-QP-2013.pdf 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.
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
Quantum Markov Chains and Ising model on Cayley tree
description 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.
author2 Accardi, Luigi
author_facet Accardi, Luigi
Mukhamedov, Farrukh
Saburov, Mansoor
format Conference or Workshop Item
author Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
title Quantum Markov Chains and Ising model on Cayley tree
title_short Quantum Markov Chains and Ising model on Cayley tree
title_full Quantum Markov Chains and Ising model on Cayley tree
title_fullStr Quantum Markov Chains and Ising model on Cayley tree
title_full_unstemmed Quantum Markov Chains and Ising model on Cayley tree
title_sort quantum markov chains and ising model on cayley tree
publisher WorldScientific
publishDate 2013
url http://irep.iium.edu.my/29331/
http://irep.iium.edu.my/29331/1/mfms-QP-QP-2013.pdf
first_indexed 2023-09-18T20:43:03Z
last_indexed 2023-09-18T20:43:03Z
_version_ 1777409492811513856

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