We construct families of graphs from linear groups SL(2,q), GL(2,q) and GU(2,q2), where q is an odd prime power, with the property that the continuous-time quantum walks on the associated networks of qubits admit perfect state transfer.
@article{arxiv.2408.14807,
title = {Perfect state transfer in graphs related to linear groups in two dimensions},
author = {Venkata Raghu Tej Pantangi and Peter Sin},
journal= {arXiv preprint arXiv:2408.14807},
year = {2024}
}