A Scheme for Simulation of Quantum Gates by Abelian Anyons  

作　　者：沈尧 艾青 龙桂鲁 

机构地区：[1]State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics,Tsinghua University [2]Tsinghua National Laboratory for Information Science and Technology

出　　处：《Communications in Theoretical Physics》2011年第11期873-876,共4页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No. 10874098;the National Basic Research Program of China under Grant Nos. 2009CB929402, 2011CB9216002;the Specialized Research Fund for the Doctoral Program of Education Ministry of China under Grant No. 20060003048

摘　　要：Anyons can be used to realize quantum computation, because they are two-level systems in two dimensions. In this paper, we propose a scheme to simulate single-qubit gates and CNOT gate using Abelian anyons in the Kitaev model. Two pairs of anyons （six spins） are used to realize single-qubit gates, while ten spins are needed for the CNOT gate. Based on these quantum gates, we show how to realize the Grover algorithm in a two-qubit system.

关 键 词：fractional statistics ANYON quantum gate 

分 类 号：O413[理学—理论物理]