G K Brennen et al 2009 New J. Phys. 11 103023 doi:10.1088/1367-2630/11/10/103023
Non-locality of non-Abelian anyons
G K Brennen1, S Iblisdir2, J K Pachos3 and J K Slingerland4,5
Show affiliationsEntangled 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 non-conventional. 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.
- PACS
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05.30.Pr Fractional statistics systems (anyons, etc.)
03.65.Ta Foundations of quantum mechanics; measurement theory
- Subjects
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Quantum gases, liquids and solids
- Dates
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Issue 10 (October 2009)
Received 22 January 2009
Published 12 October 2009
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Non-locality of non-Abelian anyons
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