QUANTUM MARKOV FIELDS ON GRAPHS

被引：29

作者：

Accardi, Luigi ^{[1
]}

Ohno, Hiromichi ^{[2
]}

Mukhamedov, Farrukh ^{[3
]}

机构：

[1] Univ Roma Tor Vergata, Ctr Vito Volterra, I-00133 Rome, Italy

[2] Shinshu Univ, Fac Engn, Nagano 3808553, Japan

[3] Int Islamic Univ Malaysia, Dept Computat & Theoret Sci, Fac Sci, Kuantan 25710, Pahang, Malaysia

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2010年 / 13卷 / 02期

关键词：

Generalized Markov state; graph; entangled Markov fields; d-Markov chains; Cayley tree; GROUND-STATES; INFINITE TREE; SPIN CHAINS;

D O I：

10.1142/S0219025710004000

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：165 / 189

页数：25

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