@article{oai:soar-ir.repo.nii.ac.jp:00012518,
 author = {Accardi,  Luigi and Ohno,  Hiromichi and Mukhamedov,  Farrukh},
 issue = {2},
 journal = {Infinite Dimensional Analysis, Quantum Probability and Related Topics},
 month = {Jun},
 note = {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.shtml, 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., Article, Infinite Dimensional Analysis, Quantum Probability and Related Topics. 13(2):165-189 (2010)},
 pages = {165--189},
 title = {QUANTUM MARKOV FIELDS ON GRAPHS},
 volume = {13},
 year = {2010}
}