  We propose an implementation of a quantum router for microwave photons in a
superconducting qubit architecture consisting of a transmon qubit, SQUIDs and a
nonlinear capacitor. We model and analyze the dynamics of operation of the
quantum switch using quantum Langevin equations in a scattering approach and
compute the photon reflection and transmission probabilities. For parameters
corresponding to up-to-date experimental devices we predict successful
operation of the router with probabilities above 94%.
