Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State

TL;DR

This paper proposes an interferometric experiment to detect non-Abelian quasiparticle statistics in the nu=5/2 fractional quantum Hall state, which is crucial for topological quantum computing.

Contribution

It introduces a novel interferometric method to observe non-Abelian statistics in the nu=5/2 state, advancing quantum Hall research and topological qubit development.

Findings

Proposed an experimental setup for detecting non-Abelian anyons.

Discussed implications for topologically protected qubits.

Addressed potential experimental challenges.

Abstract

In this letter we propose an interferometric experiment to detect non-Abelian quasiparticle statistics -- one of the hallmark characteristics of the Moore-Read state expected to describe the observed FQHE plateau at nu=5/2. The implications for using this state for constructing a topologically protected qubit as has been recently proposed by Das Sarma et. al. are also addressed.