  We determine the characteristic of dissipative quantum transport in a coupled
qubit network in the presence of on-site and off-diagonal external driving. The
work is motivated by the dephasing-assisted quantum transport where noise is
beneficial to the transport efficiency. Using Floquet-Magnus expansion extended
to Markovian open systems, we analytically derive transport efficiency and
compare it to exact numerical results. We find that driving may increase the
efficiency at frequencies near the coupling rate. On the contrary, at some
other frequencies the transport may be suppressed. We then propose the
enhancement mechanism as the ramification of interplay between driving
frequency, dissipative, and trapping rates.
