# Non-locality of non-Abelian anyons

@article{Brennen2009NonlocalityON, title={Non-locality of non-Abelian anyons}, author={Gavin K. Brennen and Sofyan Iblisdir and Jiannis K. Pachos and Joost Slingerland}, journal={New Journal of Physics}, year={2009}, volume={11}, pages={103023} }

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…

## 11 Citations

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### Universal Quantum Computation with Abelian Anyon Models

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### Fault-tolerant Greenberger-Horne-Zeilinger paradox based on non-Abelian anyons.

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The construction of the Greenberger-Horne-Zeilinger paradox reveals the nonlocal property of non-Abelian anyons and results indicate that the non- Abelian fractional statistics is a pure quantum effect and cannot be described by local realistic theories.

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The aim of this Tutorial is to give a pedagogical introduction into realizations of Majorana fermions, usually termed as Majorana bound states (MBSs), in condensed matter systems with magnetic…

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The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way and special emphasis is given to the motivation and physical intuition behind every mathematical concept.

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Fault-tolerant topological quantum computation has long been a goal of physicists. A theoretical proposal shows how Majorana zero modes can be used in a universal quantum computer in a manner that…

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