Non-locality of non-Abelian anyons

Details Non-locality of non-Abelian anyons Non-locality of non-Abelian anyons

2008-10-23

arxiv.org/abs/0810.4319v1

New J. Phys. 11, 103023 (2009)

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

10.1088/1367-2630/11/10/103023

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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