ON QUANTUM MARKOV CHAINS ON CAYLEY TREE I: UNIQUENESS OF THE ASSOCIATED CHAIN WITH XY-MODEL ON THE CAYLEY TREE OF ORDER TWO

DOI10.1142/S021902571100447XzbMath1239.46044arXiv1004.3623OpenAlexW2077619955MaRDI QIDQ3095481

Mansoor Saburov, Luigi Accardi, Farrukh Mukhamedov

Publication date: 2 November 2011

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

Full work available at URL: https://arxiv.org/abs/1004.3623

zbMATH Keywords

Cayley treequantum Markov chainXY-model

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53) Measures of information, entropy (94A17)

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