本文介绍并研究了Bernoulli泛函框架下的离散时间磁量子游荡。根据作用于Bernoulli泛函的湮灭和增生算子引入了磁位移算子(e−iθk∂k*+eiθk∂k),其中e−iθk∂k*和eiθk∂k分别是作用于Bernoulli泛函的磁增生和湮灭算子,然后在此基础上使用它们来定义新的磁量子游荡模型。In this paper, we introduce and investigate a discrete-time magnetic quantum walk in the framework of Bernoulli functionals. We first introduce magnetic shift operators (e−iθk∂k*+eiθk∂k)in terms of the annihilation and creation operators acting on Bernoulli functionals, where e−iθk∂k*and eiθk∂kare the magnetic creation and annihilation operators acting on Bernoulli functionals. On this basis, we constructed a new model of magnetic quantum walk on the hypercube.
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