Majorana fermions in atomic wire networks as non-Abelian anyons

摘要

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.