Non-locality of non-Abelian anyons

Brennen, G.K. and Iblisdir, S. and Pachos, J.K. and Slingerland, J.K. (2009) Non-locality of non-Abelian anyons. New Journal of Physics (NJP), 11 (October). p. 103023. ISSN 1367-2630

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Entangled states of quantum systems can give rise to measurement correlations of separated observers that cannot be described by local hidden variable theories. Usually, it is assumed that entanglement between particles is generated due to some distance-dependent interaction. Yet anyonic particles in two dimensions have a nontrivial interaction that is purely topological in nature. In other words, it does not depend on the distance between two particles, but rather on their exchange history. The information encoded in anyons is inherently non-local even in the single subsystem level making the treatment of anyons nonconventional. We describe a protocol to reveal the non-locality of anyons in terms of correlations in the outcomes of measurements in two separated regions. This gives a clear operational measure of non-locality for anyonic states and it opens up the possibility to test Bell inequalities in quantum Hall liquids or spin lattices.

Item Type: Article
Keywords: Quantum systems; Nonlocality; Anyons; Non-Abelian anyons; Mathematical physics.
Academic Unit: Faculty of Science and Engineering > Experimental Physics
Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1878
Identification Number: 896FCBDDE288476B824EFD96A176C1BC
Depositing User: Dr. Joost Slingerland
Date Deposited: 08 Mar 2010 12:29
Journal or Publication Title: New Journal of Physics (NJP)
Publisher: Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Refereed: Yes

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