Braiding Majorana zero modes using quantum dots

TL;DR

This paper proposes a scalable setup using quantum dots and Kitaev wires to manipulate and braid Majorana zero modes, enabling the detection of their non-Abelian statistics for topological quantum computing.

Contribution

It introduces a novel network of tunable quantum dots coupled to Kitaev wires for braiding Majorana zero modes and demonstrates how to read out their non-Abelian statistics.

Findings

Exact zero-energy Majorana modes can be manipulated via quantum dots.

Braiding can be achieved in a trijunction setup.

Charge readout reveals non-Abelian statistics.

Abstract

We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes [Deng et al. Science 354 1557 (2016) and Deng et al. arXiv:1712.03536 (2017)]. The setup features localized Majorana modes with exact zero energy and we show that they can be manipulated by solely acting on the quantum dots. A braiding process can be obtained by arranging three wires as a trijunction and a charge readout of the quantum dots can be used to reveal the non-Abelian statistics of Majorana zero modes. The setup can be scaled up to serve the more advanced purposes of topological quantum computation.