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arXiv · 0810.4319

Non-locality of non-Abelian anyons

G. K. Brennen·S. Iblisdir·J. K. Pachos·J. K. Slingerland
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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.

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G. K. Brennen, S. Iblisdir, J. K. Pachos, J. K. Slingerland. 2008-10-23. Non-locality of non-Abelian anyons. https://doi.org/10.1088/1367-2630%2F11%2F10%2F103023

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