Engineering complex topological memories from simple Abelian models

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• 作者：James R. Wootton^a ; ^{phyjrw@leeds.ac.uk"" rel=""nofollow} ; ^{woottonjames@gmail.com"" rel=""nofollow} ; Ville Lahtinen^a ; Benoit Doucot^b ; Jiannis K. Pachos^a
• 关键词：Topological model ; Anyon ; Fault-tolerant quantum computation
• 刊名：Annals of Physics
• 出版年：2011
• 出版时间：September 2011
• 年：2011
• 卷：326
• 期：9
• 页码：2307-2314
• 全文大小：389 K

文摘

In three spatial dimensions, particles are limited to either bosonic or fermionic statistics. Two-dimensional systems, on the other hand, can support anyonic quasiparticles exhibiting richer statistical behaviors. An exciting proposal for quantum computation is to employ anyonic statistics to manipulate information. Since such statistical evolutions depend only on topological characteristics, the resulting computation is intrinsically resilient to errors. The so-called non-Abelian anyons are most promising for quantum computation, but their physical realization may prove to be complex. Abelian anyons, however, are easier to understand theoretically and realize experimentally. Here we show that complex topological memories inspired by non-Abelian anyons can be engineered in Abelian models. We explicitly demonstrate the control procedures for the encoding and manipulation of quantum information in specific lattice models that can be implemented in the laboratory. This bridges the gap between requirements for anyonic quantum computation and the potential of state-of-the-art technology.