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

Fan, Yu-ang1,2; Li, Yingcheng3,4,5; Hu, Yuting6; Li, Yishan1,2; Long, Xinyue1,2; Liu, Hongfeng1,2; Yang, Xiaodong1,2; Nie, Xinfang1,2; Li, Jun1,2; Xin, Tao1,2; Lu, Dawei1,2; Wan, Yidun3,4,5

2023-09-11

10.1016/j.xinn.2023.100480

INNOVATION   Impact Factor & Quartile

2666-6758

Topological quantum computation (TQC) is one of the most striking archi-tectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local disturbances. The topological protection, however, requires complicated lattice models and hard-to-manipulate dynamics; even the simplest system that can realize universal TQC-the Fibonacci anyon sys-tem-lacks a physical realization, let alone braiding the non-Abelian anyons. Here, we propose a disk model that can simulate the Fibonacci anyon sys-tem and construct the topologically protected logical spaces with the Fibo-nacci anyons. Via braiding the Fibonacci anyons, we can implement univer-sal quantum gates on the logical space. Our disk model merely requires two physical qubits to realize three Fibonacci anyons at the boundary. By 15 sequential braiding operations, we construct a topologically protected Ha-damard gate, which is to date the least-resource requirement for TQC. To showcase, we implement a topological Hadamard gate with two nuclear spin qubits, which reaches 97.18% fidelity by randomized benchmarking. We 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 only. As a platform-independent proposal, our work is a proof of principle of TQC and paves the way toward fault-tolerant quantum computation.

ESCI

English

First ; Corresponding

NSFC["12075110","11875159","2019YFA0308100"] ; National Key Research and Development Program of China[21ZR1406700] ; General Program of Science and Technology of Shanghai[IDH1512092/009] ; Fudan University Original Project[2019SHZDZX01] ; Shanghai Municipal Science and Technology Major Project[2019ZT08C044] ; Guangdong Innovative and Entrepreneurial Research Team Program[KQTD20190929173815000] ; Science, Technology and Innovation Commission of Shenzhen Municipality[JCYJ20200109140803865] ; null[11875109]

Science & Technology - Other Topics

Multidisciplinary Sciences

WOS:001059376800001

CELL PRESS

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Fudan Univ, Ctr Field Theory & Particle Phys, Dept Phys, State Key Lab Surface Phys, Shanghai 200433, Peoples R China
4.Fudan Univ, Inst Nanoelect Devices & Quantum Comp, Shanghai 200433, Peoples R China
5.Shanghai Qi Zhi Inst, Shanghai 200030, Peoples R China
6.Hangzhou Normal Univ, Sch Phys, Hangzhou 311121, Peoples R China

Fan, Yu-ang,Li, Yingcheng,Hu, Yuting,et al. Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons[J]. INNOVATION,2023,4(5).

Fan, Yu-ang.,Li, Yingcheng.,Hu, Yuting.,Li, Yishan.,Long, Xinyue.,...&Wan, Yidun.(2023).Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons.INNOVATION,4(5).

Fan, Yu-ang,et al."Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons".INNOVATION 4.5(2023).