Quantum Markov chains: A unification approach-Reference-Cited by-同舟云学术

Quantum Markov chains: A unification approach

Published:2020-06 Issue:02 Volume:23 Page:2050016
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Accardi Luigi¹,Souissi Abdessatar²³,Soueidy El Gheteb⁴

Affiliation:

1. Centro Interdipartimentale Vito Volterra, Università di Roma “Tor Vergata”, Via Columbia 2, 00133 Roma, Italy

2. Department of Accounting, College of Business Management, Qassim University, Ar Rass, Saudi Arabia

3. Preparatory Institute for Scientific and Technical Studies, La Marsa, Carthage University, Tunisia

4. Department of Mathematics, Nouakchott University, Nouakchott, Mauritania

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025720500162

Reference21 articles.

1. MARKOV STATES AND CHAINS ON THE CAR ALGEBRA

2. Finitely correlated states on quantum spin chains

3. Entangled Markov chains

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