标题： 二维去相干交替量子行走中的非凡行为 显示英文标题

标题： Extraordinary behaviors in two-dimensional decoherent alternative quantum walk

摘要： 详细讨论了二维（2D）交替量子行走（AQW）在退相干存在下的量子和经典行为。对于任何形式的退相干，都得到了AQW位置分布矩的解析表达式。以断线噪声和币退相干为例，我们发现当退相干仅在一个方向上出现时，会出现各向异性的位置分布模式，并非所有量子游走者的运动都表现出从量子到经典行为的转变。讨论了2D AQW中游走者与硬币之间的关联。揭示了在退相干存在下游走者与硬币之间存在的各向异性关联。 显示英文摘要

摘要： The quantum and classical behaviors of two-dimensional (2D) alternative quantum walk (AQW) in the presence of decoherence have been discussed in detail. For any kinds of decoherence, the analytic expressions for the moments of position distribution of AQW have been obtained. Taking the broken line noise and coin-decoherence as examples of decoherence, we find that when the decoherence only emerges in one direction, the anisotropic position distribution pattern appears, and not all the motions of quantum walkers exhibit the transition from quantum to classical behaviors. The correlations between the walkers and the coin in 2D AQW have been discussed. The anisotropic correlations between walkers and coin have been revealed in the presence of decoherence.