空间硬币算符非周期分形序列产生的离散时间量子行走
Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators
摘要：
一维离散时间量子行走的性质对衬底中存在的不均匀性很敏感，这可以通过定义位置相关的硬币算子来产生。两个或多个符号的确定性非周期序列提供了理想的环境，其中可以以受控的方式探索这些属性。这项工作讨论了一个两个硬币模型，导致通常的分形康托集的建设规则。虽然较少出现的硬币$\rightarrow 0$的分数随着链的大小而增加，但它在步行者动力学中留下了特殊的性质。它们的特征在于波函数，从结果的概率分布和方差，以及纠缠熵。两种硬币的不同选择的一些结果。纠缠熵对揭示模型中存在的细微量子效应非常敏感。
英文摘要：
Properties of one dimensional discrete-time quantum walks are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position dependent coin operators. Deterministic aperiodic sequences of two or more symbols provide ideal environments where these properties can be explored in a controlled way. This work discusses a two-coin model resulting from the construction rules that lead to the usual fractal Cantor set. Although the fraction of the less frequent coin $\rightarrow 0$ as the size of the chain is increased, it leaves peculiar properties in the walker dynamics. They are characterized by the wave function, from which results for the probability distribution and its variance, as well as the entanglement entropy were obtained. A number of results for different choices of the two coins are presented. The entanglement entropy has shown to be very sensitive to uncover subtle quantum effects present in the model.
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