Quantum state transfer on a class of circulant graphs
Hiranmoy Pal · Linear and Multilinear Algebra · 2019
We study the existence of quantum state transfer on non-integral circulant graphs. We find that continuous-time quantum walks on quantum networks based on certain circulant graphs with 2k k∈Z vertices exhibit pretty good state transfer when there is no external dynamic control over the system. We generalize a few previously known results on pretty good state transfer on circulant graphs, and this way we re-discover all integral circulant graphs on 2k vertices exhibiting perfect state transfer.