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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Proceeding Paper |
| Language: | English |
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WorldScientific
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29331/ http://irep.iium.edu.my/29331/1/mfms-QP-QP-2013.pdf |
| _version_ | 1848780103655358464 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author2 | Accardi, Luigi |
| author_facet | Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:28:21Z |
| format | Proceeding Paper |
| id | iium-29331 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:28:21Z |
| publishDate | 2013 |
| publisher | WorldScientific |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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. |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Quantum Markov Chains and Ising model on Cayley tree |
| title | 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_short | Quantum Markov Chains and Ising model on Cayley tree |
| title_sort | quantum markov chains and ising model on cayley tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/29331/ http://irep.iium.edu.my/29331/1/mfms-QP-QP-2013.pdf |