%0 Journal Article %T 基于量子Bernoulli噪声方法的超立方体上的磁量子游荡
Magnetic Quantum Walk on the Hypercube in Terms of Quantum Bernoulli Noises Method %A 杨铮 %J Pure Mathematics %P 104-111 %@ 2160-7605 %D 2025 %I Hans Publishing %R 10.12677/pm.2025.153081 %X 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^{- i θ_{k}} \partial_{k}^{*} + e^{i θ_{k}} \partial_{k})

，其中

e^{- i θ_{k}} \partial_{k}^{*}

和

e^{i θ_{k}} \partial_{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^{- i θ_{k}} \partial_{k}^{*} + e^{i θ_{k}} \partial_{k})

in terms of the annihilation and creation operators acting on Bernoulli functionals, where

e^{- i θ_{k}} \partial_{k}^{*}

and

e^{i θ_{k %K 量子Bernoulli噪声，
%K 超立方体，
%K 磁量子游荡}}

Quantum Bernoulli Noises %K Hypercube %K Magnetic Quantum Walk %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=109262