论文标题
离散时间量子在定向图上行走
Discrete-Time Quantum Walks on Oriented Graphs
论文作者
论文摘要
在过去的二十年中，对量子步行的兴趣一直在稳步增长。仍然值得呈现新形式的量子步行，这些量子步行可能会发现实际应用和新的身体行为。在这项工作中，我们通过将图形将图表分配到镶嵌上，在任意方向图上定义离散时间量子行走，这是覆盖顶点集合的分离集团的集合。通过使用与Tessellations相关的邻接矩阵，我们定义了本地统一操作员，其产品是量子步行模型的进化操作员。我们引入了一个称为alpha的参数，该参数量化了方向的量。我们表明，可以调整参数alpha，以增加定向图上的基于量子步行的传输量。
The interest in quantum walks has been steadily increasing during the last two decades. It is still worth to present new forms of quantum walks that might find practical applications and new physical behaviors. In this work, we define discrete-time quantum walks on arbitrary oriented graphs by partitioning a graph into tessellations, which is a collection of disjoint cliques that cover the vertex set. By using the adjacency matrices associated with the tessellations, we define local unitary operators, whose product is the evolution operator of our quantum walk model. We introduce a parameter, called alpha, that quantifies the amount of orientation. We show that the parameter alpha can be tuned in order to increase the amount of quantum walk-based transport on oriented graphs.
