Minimal setup for non-Abelian braiding of Majorana zero modes

TL;DR

This paper proposes a simplified, universal setup combining Majorana zero modes and a quantum dot to facilitate braiding, enabling straightforward detection of non-Abelian statistics via electric current measurements.

Contribution

It introduces a minimal, experimentally feasible braiding scheme for Majorana zero modes that simplifies implementation and detection across various platforms.

Findings

Proposes a universal braiding protocol using MZMs and a quantum dot.

Enables direct measurement of braiding results through electric current.

Simplifies experimental realization of non-Abelian statistics detection.

Abstract

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. However, the complexity of the braiding manipulation hinders its experimental realization. Here we propose an experimental setup composing of MZMs and a quantum dot state which can substantially simplify the braiding protocol of MZMs. Such braiding scheme, which corresponds to a specific closed loop in the parameter space, is quite universal and can be realized in various platforms. Moreover, the braiding results can be directly measured and manifested through electric current, which provides a simple and novel way to detect the non-Abelian statistics of MZMs.