A proposal to demonstrate non-abelian anyons on a NISQ device

TL;DR

This paper proposes a method to realize and detect non-Abelian anyons on current NISQ quantum devices by simplifying circuit implementations and demonstrating the feasibility of measuring their complex properties.

Contribution

It introduces a simplified circuit approach for non-Abelian anyon manipulation and shows that current NISQ devices can experimentally measure their full modular data.

Findings

Numerical simulations indicate feasibility of detecting non-Abelian anyons on NISQ devices.

Simplified circuits enable practical manipulation and measurement of anyons.

Measuring the full modular data of the quantum double model is achievable with current technology.

Abstract

In this work we present a proposal for realising non-Abelian anyons on a NISQ device. In particular we explore the feasibility of implementing the quantum double model $D(D_4)$. We propose techniques to drastically simplify the circuits for the manipulation and measurements of anyons. Numerical simulations with realistic noise models suggest that current NISQ technology is capable of probing signatures of non-Abelian anyons far beyond elemental properties such as the non-commutativity of braids. In particular, we conclude that experimentally measuring the full modular data of the model is feasible.