论文标题
Abelian Cayley图的分数复兴
Fractional revival on abelian Cayley graphs
论文作者
论文摘要
分数复兴，称为量子传输现象，对于量子自旋网络中的纠缠产生至关重要。分数复兴的概念是对图表上完美的状态转移和周期性的概括。在本文中，我们提出了一个足够且必要的条件，用于在任意两个不同的顶点之间具有分数复兴的Abelian Cayley图。通过这种表征，提出了具有分数复兴的阿贝里安·卡利图的两个一般结构。同时，我们建立了几个新的Abelian Cayley图形，承认分数复兴。
Fractional revival, known as a quantum transport phenomenon, is essential for entanglement generation in quantum spin networks. The concept of fractional revival is a generalization of perfect state transfer and periodicity on graphs. In this paper, we propose a sufficient and necessary condition for abelian Cayley graphs having fractional revival between any two distinct vertices. With this characterization, two general constructions of abelian Cayley graphs having fractional revival is presented. Meanwhile, we establish several new families of abelian Cayley graphs admitting fractional revival.
