We study the analogues of irreducibility, period, and communicating classes for open quantum random walks, as defined in (J Stat Phys 147(4):832–852, 2012). We recover results similar to the standard ones for Markov chains, in terms of ergodic behaviour, decomposition into irreducible subsystems, and characterization of invariant states.

Open Quantum Random Walks: Reducibility, Period, Ergodic Properties

CARBONE, RAFFAELLA;
2016-01-01

Abstract

We study the analogues of irreducibility, period, and communicating classes for open quantum random walks, as defined in (J Stat Phys 147(4):832–852, 2012). We recover results similar to the standard ones for Markov chains, in terms of ergodic behaviour, decomposition into irreducible subsystems, and characterization of invariant states.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1110377
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