Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions

DOI10.1142/S1230161222500032OpenAlexW4293711834MaRDI QIDQ5043746

Abdessatar Souissi, Tarek Hamdi, Farrukh Mukhamedov

Publication date: 6 October 2022

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.03770

zbMATH Keywords

phase transitionCayley treedisordered phasequantum Markov chainopen quantum random walks

Mathematics Subject Classification ID

Trees (05C05) Sums of independent random variables; random walks (60G50) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Measures of information, entropy (94A17) Open systems, reduced dynamics, master equations, decoherence (81S22) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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On stopping rules for tree-indexed quantum Markov chains ⋮ Open quantum random walks and quantum Markov chains on trees. II: The recurrence ⋮ On a \(\psi\)-mixing property for entangled Markov chains ⋮ Tree-homogeneous quantum Markov chains

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