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...

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Main Authors:	Accardi, Luigi, Ohno, Hiromichi, Mukhamedov, Farrukh
Format:	Article
Language:	English
Published:	World Scientific Publishing 2010
Subjects:	Q Science (General) QA75 Electronic computers. Computer science QC Physics
Online Access:	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

id	iium-1549
recordtype	eprints
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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	Q Science (General) QA75 Electronic computers. Computer science QC Physics
spellingShingle	Q Science (General) QA75 Electronic computers. Computer science QC Physics Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh Quantum Markov fields on graphs
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.
format	Article
author	Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh
author_facet	Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh
author_sort	Accardi, Luigi
title	Quantum Markov fields on graphs
title_short	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_sort	quantum markov fields on graphs
publisher	World Scientific Publishing
publishDate	2010
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
first_indexed	2023-09-18T20:08:55Z
last_indexed	2023-09-18T20:08:55Z
_version_	1777407345716887552

Quantum Markov fields on graphs

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