论文标题
在无限$ d $ dimensional lattices上引起的按需复兴
Induced on-demand revival in coined quantum walks on infinite $d$-dimensional lattices
论文作者
论文摘要
量子系统中复发和复兴的研究引起了极大的兴趣，因为它在控制量子系统及其在开发新技术中的潜在用途中的重要性。在这项工作中，我们介绍了一项协议，以在$ d $维的晶格上进行大量量子步行，以$ c $二维硬币系统管理。该协议需要在硬币的自由程度上进行两次重复干预措施。我们还提出了接受这种协议的步行的特征。此外，我们修改了称为pólya编号的数量，通常用于经典随机步行和量子步行中复发的研究，以创造出步行的第一次复兴的见证。
The study of recurrences and revivals in quantum systems has attracted a great deal of interest because of its importance in the control of quantum systems and its potential use in developing new technologies. In this work, we introduce a protocol to induce full-state revivals in a huge class of quantum walks on a $d$-dimensional lattice governed by a $c$-dimensional coin system. The protocol requires two repeated interventions in the coin degree of freedom. We also present a characterization of the walks that admits such a protocol. Moreover, we modify the quantity known as Pólya number, typically used in the study of recurrences in classical random walks and quantum walks, to create a witness of the first revival of the walk.
