Quantum walk on extension of association schemes

Hiroshi Miki, Satoshi Tsujimoto, Da Zhao

Published 2022-10-24Version 1

In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extreme points of a simplex, fractional revival on subsimplexes. We also investigate the relation between perfect state transfer and the generation of maximal entanglement. Characterization of zero transfer is given as well, which has not been well-studied in the area of quantum walks.