Asymptotic properties of quantum Markov chains

DOI10.1088/1751-8113/45/48/485301zbMath1278.81117arXiv1208.0764OpenAlexW3102773079MaRDI QIDQ4913279

Jaroslav Novotný, Gernot Alber, Igor Jex

Publication date: 5 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0764

zbMATH Keywords

asymptotic dynamicsKraus operatorquantum Markov chainsattractor space

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)

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Application of Shemesh theorem to quantum channels ⋮ Peripherally automorphic unital completely positive maps ⋮ Asymptotics of quantum channels ⋮ Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory ⋮ Open quantum random walks, quantum Markov chains and recurrence ⋮ Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions

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