# 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…

## 12 Citations

### Nonlocality as a benchmark for universal quantum computation in Ising anyon topological quantum computers

- Physics
- 2012

An obstacle affecting any proposal for a topological quantum computer based on Ising anyons is that
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### Quantum Walks of SU(2)_k Anyons on a Ladder

- Physics
- 2012

We study the effects of braiding interactions on single anyon dynamics using a quantum walk model on a quasi-1-dimensional ladder filled with stationary anyons. The model includes loss of information…

### Relational time in anyonic systems

- Physics
- 2018

In a seminal paper [Phys. Rev. D 27, 2885 (1983)], Page and Wootters suggest that time evolution could be described solely in terms of correlations between systems and clocks, as a means of dealing…

### Universal Quantum Computation with Abelian Anyon Models

- PhysicsElectron. Notes Theor. Comput. Sci.
- 2011

### Error Correction for Non-Abelian Topological Quantum Computation

- Computer Science
- 2014

The properties of non-Abelian error correction, in general are considered, and it is found that error correction is possible under a threshold value of 7% for the total probability of an error on each physical spin, remarkably comparable with the thresholds for Abelian models.

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

- PhysicsPhysical review letters
- 2010

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.

### Non-Abelian Topological Approach to Non-Locality of a Hypergraph State

- Computer ScienceEntropy
- 2015

To resolve the divergence in the complexity of classical and quantum representation of a hypergraph, the notion of non-amenability and its relation to combinatorics of dynamical self-organization for the case of fractal system of free group on finite generators is investigated.

### Majorana bound states with chiral magnetic textures

- PhysicsJournal of Applied Physics
- 2022

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…

### Demonstrating entanglement by testing Bell's theorem in Majorana wires

- Physics
- 2014

We propose an experiment that would establish the entanglement of Majorana zero modes in semiconductor nanowires by testing the Bell and Clauser-Horne-Shimony-Holt inequalities. Our proposal is…

### Introduction to Topological Quantum Computation

- Physics
- 2012

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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