State Transfer in Noisy Modular Quantum Networks

Abstract: 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.