# Non-locality of non-Abelian anyons

Source: [Non-locality of non-Abelian anyons](<https://www.sota2.com/research/paper/68fa24082c2a37601939e4e9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:41.723Z

Authors: G.K. Brennen, S. Iblisdir, J.K. Pachos, J.K. Slingerland

Published: 2008-10-23T19:01:10.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0810.4319>)

[PDF](<https://arxiv.org/pdf/0810.4319.pdf>)