Photon assisted braiding of Majorana fermions in a cavity

TL;DR

This paper explores how coupling Majorana fermions to a microwave cavity enables dynamical detection and control of braiding phases through photonic field measurements, advancing topological quantum computation techniques.

Contribution

It introduces a theoretical framework showing that cavity photons can encode and influence Majorana braiding phases, enabling dynamical detection and cavity-controlled braiding.

Findings

Braiding phase imprints on cavity photonic field.

Detection of Majorana parity via dispersive readouts.

Cavity coupling affects braiding dynamics.

Abstract

We study the dynamical process of braiding Majorana bound states in the presence of the coupling to photons in a microwave cavity. We show theoretically that the $\pi/4$ phase associated with the braiding of Majoranas, as well as the parity of the ground state are imprinted into the photonic field of the cavity, which can be detected by dispersive readouts techniques. These manifestations are purely dynamical, they occur in the absence of any splitting of the MBS that are exchanged, and they disappear in the static setups studied previously. Conversely, the cavity can affect the braiding phase, which in turn should allow for cavity controlled braiding.