Quantum Markov chains: A unification approach

被引：27
|
作者：
Accardi, Luigi [1 ]
Souissi, Abdessatar [2 ,3 ]
Soueidy, El Gheteb [4 ]
机构：
[1] Univ Roma Tor Vergata, Ctr Interdipartimentale Vito Volterra, Via Columbia 2, I-00133 Rome, Italy
[2] Qassim Univ, Coll Business Management, Dept Accounting, Ar Rass, Saudi Arabia
[3] Carthage Univ, Preparatory Inst Sci & Tech Studies, La Marsa, Tunisia
[4] Nouakchott Univ, Dept Math, Nouakchott, Mauritania
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2020年 / 23卷 / 02期
关键词：
Ordered products; quantum Markov chains; extendability; transition expectations; STATES;
D O I：
10.1142/S0219025720500162
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a unified approach for quantum Markov chains (QMCs). A new quantum Markov property that generalizes the old one, is discussed. We introduce Markov states and chains on general local algebras, possessing a generic algebraic property. We stress that this kind of algebras includes both Boson and Fermi algebras. Our main results concern two reconstruction theorems for quantum Markov chains and for quantum Markov states. Namely, we illustrate the results through examples.
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页数：24
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