Intrinsic open quantum walk on integer cattice ℤ(整数格ℤ上的内禀开放量子游荡)

As quantum analogs of classical Markov chains, open quantum walks have found wide application in many research fields such as quantum computing and quantum simulation. This paper introduces a model of intrinsic open quantum walk on the 1-dimensional integer lattice and compares it with the model introduced by ATTAL et al in 2012 (Attal's model bellow). It is shown that, for a wide class of initial states, our model has the same evolution behavior as Attal's model, but our model has simpler structure.作为经典Markov链的量子类似物，开放量子游荡在量子计算和量子模拟等领域有重要应用。在一维整数格上引入一种内禀开放量子游荡模型，并将其与Attal开放量子游荡模型（简称Attal游荡）进行比较，得到了两者之间的区别与联系。发现针对较广泛的一类初始态，内禀开放量子游荡与Attal游荡具有相同的演化行为，且内禀开放量子游荡的结构更简单，可计算性更强。

# Electronic computers. Computer science # Physics # open quantum walk(开放量子游荡) # quantum channel(量子信道) # probability distribution function(概率分布)

LI Jianmin(李建敏), WANG Caishi(王才士), FAN Nan(范楠) (2025). "Intrinsic open quantum walk on integer cattice ℤ(整数格ℤ上的内禀开放量子游荡)". Zhejiang Daxue xuebao. Lixue ban. https://doi.org/10.3785/j.issn.1008-9497.2025.05.011