Non-locality of non-Abelian anyons

TL;DR

This paper proposes a method to demonstrate the non-locality of non-Abelian anyons in topological systems by violating Bell inequalities, providing an operational way to measure quantum entanglement in these exotic states.

Contribution

It introduces an explicit recipe for preparing, manipulating, and measuring non-Abelian anyonic states to reveal their non-local quantum correlations.

Findings

Violation of Bell inequalities demonstrated in topological models

Operational protocol for measuring non-locality in anyonic systems

Potential to observe non-locality in quantum Hall liquids

Abstract

Topological systems, such as fractional quantum Hall liquids, promise to successfully combat environmental decoherence while performing quantum computation. These highly correlated systems can support non-Abelian anyonic quasiparticles that can encode exotic entangled states. To reveal the non-local character of these encoded states we demonstrate the violation of suitable Bell inequalities. We provide an explicit recipe for the preparation, manipulation and measurement of the desired correlations for a large class of topological models. This proposal gives an operational measure of non-locality for anyonic states and it opens up the possibility to violate the Bell inequalities in quantum Hall liquids or spin lattices.