Laplacian Pair State Transfer on Edge Coronas

Let $G$ be a graph with edge set $E(G) = \{e_1, \ldots, e_m\}$, and let $\mathcal{H} = (H_1, \ldots, H_m)$ be an $m$-tuple of graphs. The edge corona $G\diamond\mathcal{H}$ is obtained from the disjoint union of $G,H_1,\ldots,H_m$ by joining both end vertices of each edge $e_j$ to every vertex of $H