Detecting non-Abelian statistics of topological states on a chain of superconducting circuits

TL;DR

This paper proposes a scheme using superconducting circuits to demonstrate non-Abelian statistics of topologically protected states, which could advance topological quantum computation.

Contribution

It introduces a novel protocol for realizing non-Abelian statistics in superconducting circuits, enabling experimental exploration of topological quantum states.

Findings

Topological phase transition can be achieved by tuning hopping strength and magnetic field.

Non-Abelian operations can be implemented on superconducting circuit chains.

Potential application in topological quantum computation.

Abstract

In view of the fundamental importance and many promising potential applications, non-Abelian statistics of topologically protected states have attracted much attention recently. However, due to the operational difficulties in solid-state materials, experimental realization of non-Abelian statistics is lacking. The superconducting quantum circuit system is scalable and controllable, and thus is a promising platform for quantum simulation. Here we propose a scheme to demonstrate non-Abelian statistics of topologically protected zero-energy edge modes on a chain of superconducting circuits. Specifically, we can realize topological phase transition by varying the hopping strength and magnetic field in the chain, and the realized non-Abelian operation can be used in topological quantum computation. Considering the advantages of the superconducting quantum circuits, our protocol may shed light on quantum computation via topologically protected states.