Simulation of non-Abelian Anyons using ribbon operators connected to a common base site

TL;DR

This paper demonstrates how to simulate non-Abelian anyons using ribbon operators connected to a distant base site, enabling their creation, braiding, and measurement in a physical system.

Contribution

It introduces a method to simulate non-Abelian anyons with long ribbon operators linked to a remote base site, extending previous models.

Findings

Effective simulation of non-Abelian anyons using ribbon operators

Method for braiding and measuring anyons in a physical system

Minimal system size for proof-of-principle demonstration

Abstract

A convenient and effective way in the quantum double model to study anyons in a topological space with a tensor product structure is to create and braid anyons using ribbon operators connected to a common base site [A. Kitaev Ann.\ Phys. (N.Y.) \textbf{303}, 2 (2003)]. We show how this scheme can be simulated in a physical system by constructing long ribbon operators connected to a base site that is placed faraway. We describe how to move and braid anyons using these ribbon operators, and how to perform measurement on them. We also give the smallest scale of a system that is sufficient for proof-of-principle demonstration of our scheme.