  We provide a recipe for the digitalization of linear and nonlinear quantum
optics in networks of superconducting qubits. By combining digital techniques
with boson-qubit mappings we address relevant problems which are typically
considered in analog simulators, such as the dynamical Casimir effect or
molecular force fields, including nonlinearities. In this way, the benefits of
digitalization are extended in principle to a new realm of physical problems.
We present preliminary examples launched in IBM Q 5 Tenerife.
