Fermion parity measurement and control in Majorana circuit quantum electrodynamics

  Konstantin Yavilberg [1]  ,  Eran Ginossar [2]  ,  Eytan Grosfeld [1]  
[1] Department of Physics, Ben-Gurion University of the Negev
[2] Advanced Technology Institute and Department of Physics, University of Surrey

We investigate the quantum electrodynamics of a device based on a topological superconducting circuit embedded in a microwave resonator. The device stores its quantum information in coherent superpositions of fermion parity states originating from Majorana fermion hybridization. This generates a highly isolated qubit whose coherence time could be greatly enhanced. We extended the conventional semi-classical method and obtained analytical derivations for strong transmon-photon coupling. Using this formalism, we develop protocols to initialise, control and measure the parity states. We show that, remarkably, the parity eigenvalue can be detected via dispersive shifts of the optical cavity in the strong coupling regime and its state can be coherently manipulated via a second order sideband transition.