通过超越边权实现相当好的量子态传输

中文摘要 AI 辅助

我们证明，若取一个具有普遍完美态传输的循环图与一条固定长度路径的根积，且该路径的末端边赋予超越数权重，则在这些路径的任意一对端点之间存在相当好的态传输。作为推论，在一条具有偶数个顶点且与端点相邻的两条边带有超越权重的路径中，存在相当好的态传输。

英文摘要

We prove that if we take a rooted product of a circulant graph with universal perfect state transfer with a path of fixed length whose end edge is weighted with a transcendental number, then there is pretty good state transfer between any pair of endpoints of these paths. As a consequence, in a path with an even number of vertices with transcendental weights on the two edges incident to the endpoints, there is pretty good state transfer.

发表机构

• Clarkson University（克拉克森大学）
• Brigham Young University（杨百翰大学）
• Brigham Young University Idaho（爱达荷杨百翰大学）
• University of Michigan（密歇根大学）

机构由 AI 辅助整理，请以论文原文为准。