Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons

作     者：Yu-ang Fan Yingcheng Li Yuting Hu Yishan Li Xinyue Long Hongfeng Liu Xiaodong Yang Xinfang Nie Jun Li Tao Xin Dawei Lu Yidun Wan 

作者机构：Shenzhen Institute for Quantum Science and Engineering and Department of PhysicsSouthem University of Science and Technology Shenzhen 518055China State Key Laboratory of Surface PhysicsDepartment of PhysicsCenter for Field Theory and Particle Physicsand Institute for Nanoelectronic Devices and Quantum ComputingFudan UniversityShanghai 200433and Shanghai Qi Zhi InstituteShanghai 200030China School of PhysicsHangzhou Normal UniversityHangzhou 311121China 

出 版 物：《The Innovation》 (创新（英文）)

年 卷 期：2023年第4卷第5期

页      面：41-46页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The authors thank Ling-Yan Hung for helpful comments on the manuscript.This work is supported by NSFC grant nos.11875109,12075110,and 11875159 the National Key Research and Development Program of China(no.2019YFA0308100) General Program of Science and Technology of Shanghai no.21ZR1406700 Fudan University Original Project(grant no.IDH1512092/009) Shanghai Municipal Science and Technology Major Project(grant no.2019SHZDZX01) Guangdong Innovative and Entrepreneurial Research Team Program(2019ZT08C044) Science,Technology and Innovation Commission of Shenzhen Municipality(KQTD20190929173815000 and JCYJ20200109140803865).Y.W.is grateful to the Hospitality of the Perimeter Institute during his visit,where the main part of this work was done 

主　　题：Fibonacci Hadamard TQC 

摘      要：Topological quantum computation(TQC)is one of the most striking architectures that can realize fault-tolerant quantum *** TQC,the logical space and the quantum gates are topologically protected,i.e.,robust against local *** topological protection,however,requires complicated lattice models and hard-to-manipulate dynamics;even the simplest system that can realize universal TQC-the Fibonacci anyon system—lacks a physical realization,let alone braiding the non-Abelian ***,we propose a disk model that can simulate the Fibonacci anyon system and construct the topologically protected logical spaces with the Fibonacci *** braiding the Fibonacci anyons,we can implement universal quantum gates on the logical *** disk model merely requires two physical qubits to realize three Fibonacci anyons at the *** 15 sequential braiding operations,we construct a topologically protected Hadamard gate,which is to date the least-resource requirement for *** showcase,we implement a topological Hadamard gate with two nuclear spin qubits,which reaches 97.18%fidelity by randomized *** further prove by experiment that the logical space and Hadamard gate are topologically protected:local disturbances due to thermal fluctuations result in a global phase *** a platform-independent proposal,our work is a proof of principle of TQC and paves the way toward fault-tolerant quantum computation.