  Quantum state transfer is the act of transferring quantum information from
one system in a quantum network to another without physically transporting
carriers of quantum information, but instead engineering a Hamiltonian such
that the state of the sender is transferred to the receiver through the
dynamics of the whole network. A generalization of quantum state transfer
called quantum routing concerns simultaneous transfers between multiple pairs
in a quantum network, imposing limitations on its structure. In this article we
consider transfer of Gaussian states over noisy quantum networks with modular
structure, which have been identified as a suitable platform for quantum state
routing. We compare two noise models, affecting either the network topology or
the network constituents, studying their effects on both the transfer
fidelities and the network properties. We find that the two models affect
different features of the network allowing for the identification and
quantification of the noise. We then use these features as a guide towards
different strategies for the compensation of the noise, and examine how the
compensation strategies perform. Our results show that in general, modular
networks are more robust to noise than monolithic ones.
