Detection and Manipulation of Majorana Fermions in Circuit QED

Understand

Motivated by recent experimental progress towards the measurement and manipulation of Majorana fermions with superconducting circuits, we propose a device interfacing Majorana fermions with circuit quantum electrodynamics.

• The proposed circuit acts as a charge parity detector changing the resonance frequency of a superconducting $\lambda/4$ - resonator conditioned on the parity of charges on nearby gates.
• Operating at both charge and flux sweet spots, this device is highly insensitive to environmental noise.
• It enables high-fidelity single-shot quantum non demolition readout of the state of a pair of Majorana fermions encoding a topologically protected qubit.