Speaker : Xiwang Cao (Nanjing University of Aeronautics and Astronautics)
Title : Perfect State Transfer on Abelian Cayley Graphs
Time : 2018-06-27 (Wed) 15:00 - 16:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. In this talk, we present a characterization of the connected simple Cayley graph $\Gamma={\rm Cay}(G,S)$ having PST. We show that many previous results on periodicity and existence of PST of circulant graphs (where the underlying group $G$ is cyclic) and cubelike graph ($G=(\mathbb{F}_2^n,+)$) can be derived or generalized to arbitrary abelian case in unified and more simple ways from our characterization. We also get several new results including answers to some questions raised before.