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