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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机译：我们研究（J Stat Phys 147（4）：832-852，2012）中定义的开放量子随机游动的不可约性，周期和通信类的类似物。在遍历行为，分解为不可约子系统以及表征不变状态方面，我们恢复了与马尔可夫链标准结果相似的结果。
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