Iwasawa-Type Spectral Resultant Growth Laws for Grover Walks on Graph Towers

Jirô Akahori, Taro Hayashi, Ryoichi Suzuki

Let $X_0\leftarrow X_1\leftarrow \cdots$ be a ${\mathbb{Z}}_p^d$-tower of finite graphs, and let $U_n$ be the Grover transition matrix on $X_n$. We study Iwasawa-type $p$-adic growth l…