Markov properties of partially open quantum random walks
Yuan Bao Kang · Journal of Mathematical Physics · 2023
In this paper, we first construct (nonhomogeneous) quantum Markov chains (QMCs, for short) associated with partially open quantum random walks (POQRWs, for short). We then focus on the study of the analogs of irreducibility, period, and ergodic behavior of POQRWs by QMCs. Moreover, we get the characterization of invariant states of POQRWs via QMCs.