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Majorana fermions in atomic wire networks as non-Abelian anyons
M.A. Baranov
537 - 564
10.3254/978-1-61499-694-1-537
Proceedings of the International School of Physics "Enrico Fermi"
Volume 191: Quantum Matter at Ultralow Temperatures
Abstract

This paper provides an introduction to Majorana fermions in many-body systems as non-Abelian anyons. Considering a particular realization of Majorana fermions as edge states in topological quantum wires and assuming an implementation in systems of ultracold atoms and molecules, I also discuss the protocol for braiding the Majorana fermions and possible ways to demonsrate their non-Abelian statistics and their usage for quantum computation.

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