Cavity-based readout and control of Majorana qubits

We discuss readout and control protocols based on coupling Majorana bound states to cavities. In particular, we consider hybrid superconductor-semiconductor nanowires where the Majorana-cavity coupling is mediated by a quantum dot. The resulting qubit-cavity interaction can be operated in the dispersive regime, familiar from circuit QED. Alternatively, a longitudinal interaction can be activated by parametric modulation of the qubit-cavity coupling strength [1]. We explore how these interactions can be used for readout of Majorana qubits, as well as their use for cavity-mediated entangling gates.

[1] AL Grimsmo, T Smith, arXiv:1809.07776