Double-dot interferometer for quantum measurement of Majorana qubits and stabilizers

Understand

Motivated by the need of quantum measurement of Majorana qubits and surface-code stabilizers, we analyze the performance of a double-dot interferometer under the influence of environment noise.

• The double-dot setup design allows accounting for the full multiple tunneling process between the dots through the Majorana island, within a master equation approach.
• In the co-tunneling regime, which results in a Majorana-mediated effective coupling between the dots, the master equation approach allows us to obtain analytic solutions for the measurement currents.
• The measurement quality, characterized by figures of merit such as the visibility of measurement signals, is carried out in regard to the unusual decoherence effect rather than `which-path' dephasing.