PERFECT STATE TRANSFER, GRAPH PRODUCTS AND EQUITABLE PARTITIONS
Ge Yang, Benjamin Greenberg, Oscar Perez, Christino Tamon · International Journal of Quantum Information · 2011
We describe new constructions of graphs which exhibit perfect state transfer on continuous-time quantum walks. Our constructions are based on generalizations of the double cones and variants of the Cartesian graph products (which include the hypercube). We also describe a generalization of the path collapsing argument (which reduces questions about perfect state transfer to simpler weighted multigraphs) for graphs with equitable distance partitions.