Implementation of quantum communication protocols in Josephson junction arrays

We discuss simple protocols to realize state transfer with high fidelity in Josephson junction arrays. We consider both the cases of constant and properly modulated couplings between the site of the chain. We investigate the influence of static disorder both in the Josephson energies and in the coupling to the background gate charges and we show that they can lead to a fractal fidelity. We also analyze the readout process, and its backaction on the state transfer.