Implementing Arbitrary Phase Gates with Ising Anyons
Implementing Arbitrary Phase Gates with Ising Anyons
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DOI：
10.1103/physrevlett.104.180505
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发表时间：
2010-05-07
影响因子：
8.6
通讯作者：
Shtengel, Kirill
中科院分区：
文献类型：
--
作者：
Bonderson, Parsa;Clarke, David J.;Shtengel, Kirill
伊辛型非阿贝尔任意子可能出现在许多物理系统中，包括量子霍尔系统，最近的实验支持它们的存在。一般来说，非阿贝尔任意子可以用来为量子信息处理提供拓扑错误保护介质。然而，通过编织和测量Ising任意子的拓扑荷可以获得的拓扑保护操作正是Clifford门，这在计算上是不通用的。克利福德门集可以通过补充单量子比特π/8相位门来通用。我们提出了一种实现任意单量子比特相位门的伊辛任意子的方法，通过运行当前的任意子与周围的干扰路径计算任意子。
Ising-type non-Abelian anyons are likely to occur in a number of physical systems, including quantum Hall systems, where recent experiments support their existence. In general, non-Abelian anyons may be utilized to provide a topologically error-protected medium for quantum information processing. However, the topologically protected operations that may be obtained by braiding and measuring topological charge of Ising anyons are precisely the Clifford gates, which are not computationally universal. The Clifford gate set can be made universal by supplementing it with single-qubit pi/8-phase gates. We propose a method of implementing arbitrary single-qubit phase gates for Ising anyons by running a current of anyons with interfering paths around computational anyons.