  Here we show that noisy coupling can lead to diffusive lossless energy
transfer between individual quantum systems retaining a quantum character
leading to entangled stationary states. Coherence might flow diffusively while
being summarily preserved even when energy exchange is absent. Diffusive
dynamics persists even in the case when additional noise suppresses all the
unitary excitation exchange: arbitrarily strong local dephasing, while
destroying quantum correlations, is not affecting energy transfer.
