Perfect state transfer on Cayley graphs over a non-abelian group of order $8n$

Akash Kalita, Bikash Bhattacharjya

The \textit{transition matrix} of a graph $\Gamma$ with adjacency matrix $A$ is defined by $H(\tau ):=\exp (-\mathbf{i}\tau A)$, where $\tau \in \mathbb{R}$ and $\mathbf{i}=\sqrt{-1}$. The graph…