论文标题
完美的状态转移在定向图上
Perfect State Transfer on Oriented Graphs
论文作者
论文摘要
已经使用对称矩阵（例如邻接或拉普拉斯矩阵）研究了在无向图上的量子行走，并且已知许多有关完美状态转移的结果。我们将其中一些结果扩展到了定向图。我们还研究了多个状态转移的定向图独有的现象，其中有一组顶点，因此在该集合中的每对之间都会发生完美的状态转移。我们给出了多个状态传输的表征，以及发生在图的地方的新示例。
Quantum walks on undirected graphs have been studied using symmetric matrices, such as the adjacency or Laplacian matrix, and many results about perfect state transfer are known. We extend some of those results to oriented graphs. We also study the phenomena, unique to oriented graphs, of multiple state transfer, where there is a set of vertices such that perfect state transfer occurs between every pair in that set. We give a characterization of multiple state transfer, and a new example of a graph where it occurs.
