Swift chiral quantum walks

A continuous-time quantum walk (CTQW) is sedentary if the return probability in starting vertex close to one at all times. Recent results imply that, when from a maximal degree vertex, CTQW dynamics generated by Laplacian and adjacency matrices are typically sedentary. In this paper, we show that addition of appropriate complex phases edges graph, defining chiral CTQW, can cure sedentarity lead swift walks type, which bring zero shortest time possible. We also provide no-go theorem for CTQWs type. Our first, general characterization tasks cannot be achieved with CTQWs.