Fermion parity measurement and control in Majorana circuit quantum electrodynamics

Konstantin Yavilberg, Eran Ginossar, Eytan Grosfeld

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21 Scopus citations


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 extend the conventional semiclassical method and obtain analytical derivations for strong transmon-photon coupling. Using this formalism, we develop protocols to initialize, 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.

Original languageEnglish
Article number075143
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
StatePublished - 31 Aug 2015


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