论文标题
用$ \ mathbb {z} _2 $ abelian Anyon System System
Quantum Computing with $\mathbb{Z}_2$ Abelian anyon system
论文作者
论文摘要
拓扑量子计算机提供了一种耐故障的方法来执行量子计算。拓扑量子计算机用称为Anyons的外来交换统计来操纵拓扑缺陷。通用拓扑量子计算的最简单模型是斐波那契Anyon模型，该模型是非亚伯利亚的Anyon系统。在非亚伯式的Anyon系统中，交换Anyons总是会导致单一操作，而不是在Abelian Anyon Systems中进行简单的阶段。因此，拓扑量子计算引起了非亚伯式的ANYON系统。到目前为止，大多数人仍然认为，拓扑量子计算只能在非亚伯式的Anyon系统上实施。但是实际上这不是真的。受外在半导体技术的启发，我们建议具有缺陷的Abelian Anyon系统也支持拓扑量子计算。在这封信中，我们报告了基于$ \ Mathbb {z} _2 $ Abelian Anyon System的拓扑量子计算机原型。
Topological quantum computers provide a fault-tolerant method for performing quantum computation. Topological quantum computers manipulate topological defects with exotic exchange statistics called anyons. The simplest anyon model for universal topological quantum computation is the Fibonacci anyon model, which is a non-abelian anyon system. In non-abelian anyon systems, exchanging anyons always results a unitary operations instead of a simple phase changing in abelian anyon systems. So, non-abelian anyon systems are of the interest to topological quantum computation. Up till now, most people still hold the belief that topological quantum computions can be implemented only on the non-abelian anyon systems. But actually this is not true. Inspired by extrinsic semiconductor technology, we suggest that abelian anyon systems with defects also support topological quantum computing. In this letter, we report a topological quantum computer prototype based on $\mathbb{Z}_2$ abelian anyon system.
