Nonlinear quantum optics for the characterization of Majorana qubits

Recent developments in the design of Majorana qubits have focused on devices with significant charging energy. In this parameter regime, methods from circuit QED can be used to study topological qubits. In particular, the toolbox of quantum optics opens new possible schemes for the characterization, measurement, and control of Majorana qubits. As a step in this direction, we investigate how the phenomenon of bifurcation in nonlinear cavities, commonly used for measuring qubits, is altered in the presence of Majorana bound states. Our preliminary results indicate that bifurcation could help characterize quasiparticle poisoning events in quantum wires-based Majorana qubits.