An Infinite Family of Circulant Graphs with Perfect State Transfer in Discrete Quantum Walks
Hanmeng Zhan · arXiv (Cornell University) · 2017
We study perfect state transfer in Kendon's model of discrete quantum walks. In particular, we give a characterization of perfect state transfer purely in terms of the graph spectra, and construct an infinite family of $4$-regular circulant graphs that admit perfect state transfer. Prior to our work, the only known infinite families of examples were variants of cycles and diamond chains.