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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Bibliographic Details
Main Authors: Accardi, Luigi, Ohno, Hiromichi, Mukhamedov, Farrukh
Format: Article
Language:English
Published: World Scientific Publishing 2010
Subjects:
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