研究了存在相位缺陷的二维量子行走的性质。研究结果表明, 二维量子行走的性质取决于具体的硬币操作、硬币初始态以及不同类型的相位缺陷。由于标准量子行走的对称性被破坏, 因此可观察到局域性。利用局域性对初态的依赖, 可以实现对量子行走粒子的过滤和囚禁。

The property of two-dimensional quantum walks (QWs) with phase disorder is investigated and the research results indicate that this property depends on coin operations, coin initial state, and different types of phase disorder. Because of the symmetry-breaking of standard QWs, the localization effect can be observed. With the usage of initial-state-dependence of localization, the filter and trap of particles with QWs can be realized.