DOIAbstract
Electronic version of an article published as IDAQP, Volume: 13, Issue: 2, 2010, pp. 165-189 DOI: 10.1142/S0219025710004000 (c) copyright World Scientific Publishing Company Journal URL: http://www.worldscinet.com/idaqp/idaqp.shtmlWe 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
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