Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China.
Phys Rev Lett. 2010 Aug 6;105(6):060402. doi: 10.1103/PhysRevLett.105.060402. Epub 2010 Aug 4.
We propose a scheme to test the Greenberger-Horne-Zeilinger paradox based on braidings of non-Abelian anyons, which are exotic quasiparticle excitations of topological states of matter. Because topological ordered states are robust against local perturbations, this scheme is in some sense "fault-tolerant" and might close the detection inefficiency loophole problem in previous experimental tests of the Greenberger-Horne-Zeilinger paradox. In turn, the construction of the Greenberger-Horne-Zeilinger paradox reveals the nonlocal property of non-Abelian anyons. Our results indicate that the non-Abelian fractional statistics is a pure quantum effect and cannot be described by local realistic theories. Finally, we present a possible experimental implementation of the scheme based on the anyonic interferometry technologies.
我们提出了一种基于非阿贝尔任意子的辫子实验方案来检验 Greenberger-Horne-Zeilinger 佯谬，非阿贝尔任意子是物质拓扑态的奇异准粒子激发。由于拓扑有序态对局部扰动是鲁棒的，所以这个方案在某种意义上是“容错的”，并且可能解决之前 Greenberger-Horne-Zeilinger 佯谬实验中探测效率漏洞的问题。反过来，Greenberger-Horne-Zeilinger 佯谬的构建揭示了非阿贝尔任意子的非局域性。我们的结果表明，非阿贝尔分数统计是一种纯粹的量子效应，不能用局域实在论理论来描述。最后，我们基于任意子干涉技术提出了该方案的一个可能的实验实现。
