# Time-resolved electrical detection of chiral edge vortex braiding

## TL;DR

This paper proposes a method to detect non-Abelian braiding of Majorana zero-modes by measuring time-resolved electrical charge pulses resulting from vortex fusion in a topological superconductor.

## Contribution

It introduces a theoretical framework for observing non-Abelian statistics through electrical signatures in a Josephson junction setup.

## Key findings

- Charge pulses of ±e/2 are produced during vortex fusion.
- Braiding vortices causes sign flips in the charge pulses.
- The method provides an electrical signature of non-Abelian exchange.

## Abstract

A $2\pi$ 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 $\pm e/2$ 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.