We study how a single lattice defect in a discrete time quantum walk affects the return probability of a quantum particle. This defect at the starting position is modeled by a quantum coin that is distinct from the others over the lattice. This coin has a dependence on \(\omega\) which quantifies the intensity of the localization. For some sorts of lattice defects, we show how the localization can have a dependence just on \(\omega\) , and also, the polar \(\alpha\) and azimuth \(\beta\) angles of the initial qubit by numerical calculations. We propose a lattice defect whose localization has additional dependence on \(\beta +\omega\), leading to extra localization profiles. We compare the quantum walks with our lattice defect to the earlier ones, and we discuss their spreading and survival probability.

我们研究了离散时间量子行走中的单个晶格缺陷如何影响量子粒子的返回概率。起始位置的缺陷是由量子硬币建模的，该量子硬币与晶格上的其他硬币不同。该硬币依赖于\（\ omega \），它量化了定位的强度。对于某些类型的晶格缺陷，我们展示了定位如何仅依赖于\（\ omega \） 以及初始量子位的极角\（\ alpha \）和方位角\（\ beta \）的依赖关系，数值计算。我们提出晶格缺陷，其定位对\（\ beta + \ omega \）具有附加的依赖性，从而导致额外的本地化配置文件。我们将具有量子晶格缺陷的量子游走与早期的量子游走进行比较，并讨论它们的扩散和生存概率。