Quantum Markov chains: A unification approach

DOI10.1142/S0219025720500162zbMath1501.46052arXiv1811.00500OpenAlexW3092541279MaRDI QIDQ5132468

El Gheteb Soueidy, Abdessatar Souissi, Luigi Accardi

Publication date: 12 November 2020

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00500

zbMATH Keywords

operatorquantum Markov chain\(C^* \)-algebra

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (16)

Thermodynamic formalism for quantum channels: Entropy, pressure, Gibbs channels and generic properties ⋮ Entropy of quantum Markov states on Cayley trees ⋮ Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions ⋮ Diagonalizability of quantum Markov states on trees ⋮ A Markov–Dobrushin Inequality for Quantum Channels ⋮ On stopping rules for tree-indexed quantum Markov chains ⋮ Recurrence of a class of quantum Markov chains on trees ⋮ Open quantum random walks and quantum Markov chains on trees. II: The recurrence ⋮ Nonlinear stochastic operators and associated inhomogeneous entangled quantum Markov chains ⋮ On a \(\psi\)-mixing property for entangled Markov chains ⋮ Tree-homogeneous quantum Markov chains ⋮ Random quantum maps and their associated quantum Markov chains ⋮ Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree ⋮ Refinement of quantum Markov states on trees ⋮ Quantum Markov chains on comb graphs: Ising model ⋮ Freedman inequality in noncommutative probability spaces

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