2020/03/24 by Xiwang Cao, Cao, Xiwang · 2 citations
Physics and Astronomy · #05C25 81P45 81Q35 #FOS: Physical sciences #Quantum Physics (quant-ph) #msc:05C25 #msc:81P45 #msc:81Q35 #quant-ph
paper · pdf · doi:10.48550/arxiv.2003.10624
arxiv created 2020/03/28 · arxiv updated 2020/03/31
Perfect (quantum) state transfer has been proved to be an effective model for quantum information processing. In this paper, we give a characterization of cubelike graphs having perfect edge state transfer. By using a lifting technique, we show that every bent function, and some semi-bent functions as well, can produce some graphs having PEST. Some concrete constructions of such graphs are provided. Notably, using our method, one can obtain some classes of infinite graphs possessing PEST.