Affiliation:
1. School of Mathematics Science, Chongqing Normal University , Chongqing 401331, China
Abstract
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.
Funder
Natural Science Foundation of Chongqing
Science and Technology Project of Chongqing Education Commission
Subject
Mathematical Physics,Statistical and Nonlinear Physics