Time-resolved electrical detection of chiral edge vortex braiding*

A $\bm{2\pi}$ phase shift across a Josephson junction in a topological
superconductor injects vortices into the chiral edge modes at opposite
ends of the junction. When two vortices are fused they transfer charge
into a metal contact. We calculate the time dependent current profile for
the fusion process, which consists of $\bm{\pm e/2}$ charge pulses that
flip sign if the world lines of the vortices are braided prior to the
fusion. This is an electrical signature of the non-Abelian exchange of
Majorana zero-modes.