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Let A be the adjacency matrix of a graph $X$ and suppose U(t)=exp(itA). We view A as acting on $\cx^{V(X)}$ and take the standard basis of this space to be the vectors $e_u$ for $u$ in $V(X)$. Physici...
Perfect state transfer, graph products and equitable partitions
Perfect state transfer graph products equitable partitions
2010/12/15
We describe new constructions of graphs which exhibit perfect state transfer on continuoustime quantum walks. Our constructions are based on variants of the double cones [8, 3, 2] and the Cartesian gr...