QUANTUM MARKOV FIELDS ON GRAPHS
Luigi AccardiCentro Vito Volterra, Università di Roma "Tor Vergata", Roma I-00133, ItalyHiromichi OhnoFaculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, JapanFarrukh MukhamedovDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P. O. Box 141, 25710, Kuantan, Pahang, Malaysia
2010en
ABI
Annotatsiya
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.
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