Quantum Markov fields on graphs
We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on C∗-algebras defined by general graphs. As examples of generalized d Markov chains, we construct the entangled Markov fields on tree graphs. The con...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf |
| _version_ | 1848775872761298944 |
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| author | Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh |
| author_facet | Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh |
| author_sort | Accardi, Luigi |
| building | IIUM Repository |
| collection | Online Access |
| description | We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on C∗-algebras
defined by general graphs. As examples of generalized d Markov chains, we construct the entangled Markov fields on tree graphs. The concrete examples of generalized d-Markov chains on Cayley trees are also investigated. |
| first_indexed | 2025-11-14T14:21:06Z |
| format | Article |
| id | iium-1549 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:06Z |
| publishDate | 2010 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-15492011-09-05T02:59:36Z http://irep.iium.edu.my/1549/ Quantum Markov fields on graphs Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh Q Science (General) QA75 Electronic computers. Computer science QC Physics We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on C∗-algebras defined by general graphs. As examples of generalized d Markov chains, we construct the entangled Markov fields on tree graphs. The concrete examples of generalized d-Markov chains on Cayley trees are also investigated. World Scientific Publishing 2010-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf Accardi, Luigi and Ohno, Hiromichi and Mukhamedov, Farrukh (2010) Quantum Markov fields on graphs. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 13 (2). pp. 165-189. ISSN 0219-0257 http://www.worldscinet.com/idaqp/13/1302/S02190257101302.html 10.1142/S0219025710004000 |
| spellingShingle | Q Science (General) QA75 Electronic computers. Computer science QC Physics Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh Quantum Markov fields on graphs |
| title | Quantum Markov fields on graphs |
| title_full | Quantum Markov fields on graphs |
| title_fullStr | Quantum Markov fields on graphs |
| title_full_unstemmed | Quantum Markov fields on graphs |
| title_short | Quantum Markov fields on graphs |
| title_sort | quantum markov fields on graphs |
| topic | Q Science (General) QA75 Electronic computers. Computer science QC Physics |
| url | http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf |