  In quantum systems, one usually seeks to minimize dephasing noise and
disorder. The efficiency of transport in a quantum system is usually degraded
by the presence of noise and disorder. However, it has been shown that the
combination of the two can lead to significantly more efficiency than each by
itself. Here, we consider how the addition of nonlocal noise, in the form of
incoherent hopping, affects the transport efficiency. We show that incoherent
hopping introduces additional local extrema in the efficiency function and
investigate the crossover from a quantum random walk to a classical random
walk.
