Quantum Markov states on Cayley trees

DOI10.1016/j.jmaa.2018.12.050zbMath1418.46029arXiv1902.04156OpenAlexW2906513129WikidataQ128714139 ScholiaQ128714139MaRDI QIDQ1733786

Abdessatar Souissi, Farrukh Mukhamedov

Publication date: 21 March 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04156

zbMATH Keywords

Gibbs measurequantum Markov chainAF algebraquantum Markov state

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53)

Related Items (16)

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 ⋮ 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 ⋮ On a \(\psi\)-mixing property for entangled Markov chains ⋮ Tree-homogeneous quantum Markov chains ⋮ New class of Gibbs measures for two-state hard-core model on a Cayley tree ⋮ A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree ⋮ 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 ⋮ Factors generated by \textit{XY}-model with competing Ising interactions on the Cayley tree ⋮ Quantum Markov chains on comb graphs: Ising model ⋮ A Class of Quantum Markov Fields on Tree-like Graphs: Ising-type Model on a Husimi Tree ⋮ Block Markov chains on trees

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