  We theoretically show that the dynamics of a driven quantum harmonic
oscillator subject to non-dissipative noise is formally equivalent to the
single-particle dynamics propagating through an experimentally feasible
dynamically-disordered photonic network. Using this correspondence, we find
that noise assisted energy transport occurs in this network and, if the noise
is Markovian or delta-correlated, we can obtain an analytical solution for the
maximum amount of transferred energy between all network's sites at a fixed
propagation distance. Beyond the Markovian limit, we further consider two
different types of non-Markovian noise and show that it is possible to have
efficient energy transport for larger values of the dephasing rate.
