Open quantum random walks, quantum Markov chains and recurrence

DOI10.1142/S0129055X1950020XzbMath1431.81082arXiv1608.01065OpenAlexW2963601255WikidataQ128520324 ScholiaQ128520324MaRDI QIDQ5208834

Ameur Dhahri, Farrukh Mukhamedov

Publication date: 22 January 2020

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01065

zbMATH Keywords

recurrencequantum Markov chainopen quantum random walkfinitely correlated state

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25) Classifications of (C^*)-algebras (46L35)

Related Items (12)

Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions ⋮ On a generalized central limit theorem and large deviations for homogeneous open quantum walks ⋮ Diagonalizability of quantum Markov states on trees ⋮ Passage times, exit times and Dirichlet problems for open quantum walks ⋮ Potential theory for quantum Markov states and other quantum Markov chains ⋮ On stopping rules for tree-indexed quantum Markov chains ⋮ Open quantum random walks and quantum Markov chains on trees. II: The recurrence ⋮ Tree-homogeneous quantum Markov chains ⋮ Refinement of quantum Markov states on trees ⋮ Quantum Markov chains on comb graphs: Ising model ⋮ Quantum Markov chains associated with Open Quantum random walks ⋮ Mean hitting times of quantum Markov chains in terms of generalized inverses

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