Non-locality of non-Abelian anyons

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.

7 pages, 3 figures

References in corpus (4)

• Reference frames, superselection rules, and quantum information
• Bell inequality violation with two remote atomic qubits
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Interferometry of non-Abelian Anyons