论文标题
在积分循环图上的量子状态转移
Quantum state transfer on integral oriented circulant graphs
论文作者
论文摘要
如果其Hermitian邻接矩阵的所有特征值均为整数，则将面向循环图称为积分。本文的主要目的是调查在积分循环图上的完美状态转移（短$ \ pst $）和多个状态转移（$ \ mst $）。具体而言，提供了在积分导向的循环图上的$ \ pst $（或$ \ mst $）的特征。作为一个应用程序，我们还获得了带有$ \ pst $（或$ \ mst $）的固定订单的积分循环图的封闭式表达式。
An oriented circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer ($\PST$ for short) and multiple state transfer ($\MST$ for short) on integral oriented circulant graphs. Specifically, a characterization of $\PST$ (or $\MST$) on integral oriented circulant graphs is provided. As an application, we also obtain a closed-form expression for the number of integral oriented circulant graphs with fixed order having $\PST$ (or $\MST$).
