Laplacian state transfer in Q-graph

作者：

Highlights：

• There is no Laplacian perfect state transfer in the Q-graph of an r-regular graph, if r+1 is a prime number.

• Sufficient conditions for the Q-graph of an r-regular graph, where r+1 is a prime number, to have Laplacian pretty good state transfer are given.

摘要

•There is no Laplacian perfect state transfer in the Q-graph of an r-regular graph, if r+1 is a prime number.•Sufficient conditions for the Q-graph of an r-regular graph, where r+1 is a prime number, to have Laplacian pretty good state transfer are given.

论文关键词：Laplacian perfect state transfer,Continuous-time quantum walk,Laplacian pretty good state transfer,Q-graph

论文评审过程：Received 11 March 2020, Revised 6 May 2020, Accepted 10 May 2020, Available online 27 May 2020, Version of Record 27 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125370