(Dated: September 21, 2010) | Jason Alicea,1,2 Yuval Oreg,3 Gil Refael,1 Felix von Oppen,4 and Matthew P. A. Fisher1
The paper discusses the implementation of non-Abelian statistics and topological quantum information processing in one-dimensional (1D) semiconductor wire networks. The authors demonstrate that Majorana fermions, which can be transported, created, and fused in a physically transparent manner, exhibit non-Abelian statistics when braided in these networks. They propose experimental setups to probe the Majorana fusion rules and enable efficient exchange of multiple Majorana fermions. The work highlights the potential of 1D wire networks for topological quantum computation, leveraging the physical transparency and experimental feasibility of the setups. The paper also provides a detailed analysis of the properties of T-junctions in the wire networks, showing that they can support non-Abelian statistics and efficient Majorana exchange.The paper discusses the implementation of non-Abelian statistics and topological quantum information processing in one-dimensional (1D) semiconductor wire networks. The authors demonstrate that Majorana fermions, which can be transported, created, and fused in a physically transparent manner, exhibit non-Abelian statistics when braided in these networks. They propose experimental setups to probe the Majorana fusion rules and enable efficient exchange of multiple Majorana fermions. The work highlights the potential of 1D wire networks for topological quantum computation, leveraging the physical transparency and experimental feasibility of the setups. The paper also provides a detailed analysis of the properties of T-junctions in the wire networks, showing that they can support non-Abelian statistics and efficient Majorana exchange.