MAJORANA FERMIONS AND NON-LOCALITY

被引：0

作者：

Campbell, Earl T. ^{[1
]}

Hoban, Matty J. ^{[2
]}

Eisert, Jens ^{[1
]}

机构：

[1] Free Univ Berlin, Dahlem Ctr Complex Quantum Syst, Berlin, Germany

[2] ICFO Inst Ciencies Foton, Castelldefels, Barcelona, Spain

来源：

QUANTUM INFORMATION & COMPUTATION | 2014年 / 14卷 / 11-12期

基金：

英国工程与自然科学研究理事会;

关键词：

Majorana; Ising anyons; Nonlocality; QUANTUM; NANOWIRE; SUPERCONDUCTOR; INEQUALITIES; STATISTICS; VIOLATION; SIGNATURE; STATE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Localized Majorana fermions emerge in many topologically ordered systems and exhibit exchange statistics of Ising anyons. This enables noise-resistant implementation of a limited set of operations by braiding and fusing Majorana fermions. Unfortunately, these operations are incapable of implementing universal quantum computation. We show that, regardless of these limitations, Majorana fermions could be used to demonstrate non-locality (correlations incompatible with a local hidden variable theory) in experiments using only topologically protected operations. We also demonstrate that our proposal is optimal in terms of resources, with 10 Majorana fermions shown to be both necessary and sufficient for demonstrating bipartite non-locality. Furthermore, we identify severe restrictions on the possibility of tripartite non-locality. We comment on the potential of such entangled systems to be used in quantum information protocols.

引用

页码：981 / 995

页数：15

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