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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

DOI: 10.12677/pm.2025.153081, PP. 104-111

Keywords: 量子Bernoulli噪声，超立方体，磁量子游荡
Quantum Bernoulli Noises, Hypercube, Magnetic Quantum Walk

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Abstract:

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 ？ k * + e i θ k ？ k ) ，其中 e ？i θ k ？ k * 和 e i θ k ？ 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 ？ k * + e i θ k ？ k ) in terms of the annihilation and creation operators acting on Bernoulli functionals, where e ？i θ k ？ k * and e i θ k

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