Quantum Markov Chains: A unification approach
Operator Algebras
2018-11-04 v1 Quantum Algebra
Abstract
In the present paper we study a unified approach for Quantum Markov Chains. 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, including both Boson and Fermi algebras. The main result is a reconstruction theorem for quantum Markov chains in the mentioned kind of local algebras. Namely, this reconstruction allows the reproduction of all existing examples of quantum Markov chains and states.
Keywords
Cite
@article{arxiv.1811.00500,
title = {Quantum Markov Chains: A unification approach},
author = {Luigi Accardi and Abdessatar Souissi and El Gheteb Soueidy},
journal= {arXiv preprint arXiv:1811.00500},
year = {2018}
}