Open Quantum Random Walks: reducibility, period, ergodic properties

Abstract

We study the analogues of irreducibility, period, and communicating classes for open quantum random walks, as defined by Attal et al. (J. Stat. Phys., 2012). We recover results similar to the standard ones for Markov chains, in terms of ergodic behavior, decomposition into irreducible subsystems, and characterization of stationary states.

Cited by in corpus (1)

• From open quantum walks to unitary quantum walks