Dispersive readout for Majorana qubits

We analyze the use of dispersive readout for qubits encoded in topological superconducting nanowires. Two models are considered: the Majorana transmon qubit and the Majorana box qubit. We model the interaction with each qubit and a readout resonator, and calculate the size of the qubit state-dependent dispersive shift of the resonator. We show that dispersive readoutu of Majorana qubits is protected against measurement-induced bit flips. Furthermore, we find that Majorana transmon qubits are well-suited to dispersive readout, producing dispersive shifts comparable to that of conventional superconducting transmons. Majorana box qubits produce more modest, but still potentially viable, dispersive shifts.