论文标题
量子段的家族在有限图上与广义加权Zeta功能相对应
A family of quantum walks on a finite graph corresponding to the generalized weighted zeta function
论文作者
论文摘要
本文给出了图形Zeta函数确定的量子步行。结果使我们能够获得量子行走的过渡矩阵的特征多项式,并决定了量子行走的行为。我们处理允许多边和多圈的有限图。
This paper gives the quantum walks determined by graph zeta functions. The result enables us to obtain the characteristic polynomial of the transition matrix of the quantum walk, and it determines the behavior of the quantum walk. We treat finite graphs allowing multi-edges and multi-loops.