We study the role of initial correlations on quantum and classical transport on networks. Our network is placed in an external environment that induces classical diffusion, allowing to study the crossover between quantum mechanical and classical transport. To illustrate the key features of this model, we adress the difference in the transport properties, for a trimer network, of considering a source onto an entangled state between two nodes and considering two uncorrelated sources on the same nodes. We find that the former configuration, for small couplings to the environment, greatly enhances the transport efficiency. |