Quantum networks on cubelike graphs

Cubelike graphs are the Cayley graphs of the elementary Abelian group Z(2)(n) (e.g., the hypercube is a cubelike graph). We study perfect state transfer between two particles in quantum networks modeled by a large class of cubelike graphs. This generalizes the results of Christandl [Phys. Rev. Lett. 92, 187902 (2004)] and Facer [Phys. Rev. A 92, 187902 (2008)].