Open quantum random walks on the half-line: the Karlin-McGregor formula, path counting and Foster's theorem

DOI10.1007/s10955-017-1876-xzbMath1382.82020arXiv1701.08400OpenAlexW2584354088MaRDI QIDQ1691509

Thomas S. Jacq, Carlos F. Lardizabal

Publication date: 16 January 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08400

zbMATH Keywords

Markov chainshitting timescompletely positive mapquantum random walksmatrix-valued measures

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Quantum Markov chains on the line: matrix orthogonal polynomials, spectral measures and their statistics

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