论文标题
多维分式步骤量子步行的光谱分析与缺陷
Spectral analysis for a multi-dimensional split-step quantum walk with a defect
论文作者
论文摘要
本文研究了多维分裂量子步行的频谱,其缺陷在先前的论文中无法分析。为此,我们开发了一种新技术,该技术使我们可以使用光谱映射定理为一缺陷模型。我们还为一维情况得出了时间平均的极限度量,作为光谱分析的应用。
This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analysed in the previous papers. To this end, we have developed a new technique which allow us to use a spectral mapping theorem for the one-defect model. We also derive the time-averaged limit measure for one-dimensional case as an application of the spectral analysis.