Digital Simulation of Projective Non-Abelian Anyons with 68 Superconducting Qubits

作     者：Shibo Xu Zheng-Zhi Sun Ke Wang Liang Xiang Zehang Bao Zitian Zhu Fanhao Shen Zixuan Song Pengfei Zhang Wenhui Ren Xu Zhang Hang Dong Jinfeng Deng Jiachen Chen Yaozu Wu Ziqi Tan Yu Gao Feitong Jin Xuhao Zhu Chuanyu Zhang Ning Wang Yiren Zou Jiarun Zhong Aosai Zhang Weikang Li Wenjie Jiang Li-Wei Yu Yunyan Yao Zhen Wang Hekang Li Qiujiang Guo Chao Song H.Wang Dong-Ling Deng Shibo Xu;Zheng-Zhi Sun;Ke Wang;Liang Xiang;Zehang Bao;Zitian Zhu;Fanhao Shen;Zixuan Song;Pengfei Zhang;Wenhui Ren;Xu Zhang;Hang Dong;Jinfeng Deng;Jiachen Chen;Yaozu Wu;Ziqi Tan;Yu Gao;Feitong Jin;Xuhao Zhu;Chuanyu Zhang;Ning Wang;Yiren Zou;Jiarun Zhong;Aosai Zhang;Weikang Li;Wenjie Jiang;Li-Wei Yu;Yunyan Yao;Zhen Wang;Hekang Li;Qiujiang Guo;Chao Song;H.Wang;Dong-Ling Deng

作者机构：School of PhysicsZJU-Hangzhou Global Scientific and Technological Innovation CenterInterdisciplinary Center for Quantum Informationand Zhejiang Province Key Laboratory of Quantum Technology and DeviceZhejiang UniversityHangzhou 310027China Center for Quantum InformationIIISTsinghua UniversityBeijing 100084China Theoretical Physics DivisionChern Institute of Mathematics and LPMCNankai UniversityTianjin 300071China Hefei National LaboratoryHefei 230088China Shanghai Qi Zhi InstituteShanghai 200232China 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2023年第40卷第6期

页      面：1-7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 National Natural Science Foundation of China(Grants Nos.92065204,12075128,T2225008,12174342,12274368,12274367,U20A2076,and 11725419) the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0300200) the Zhejiang Province Key Research and Development Program(Grant No.2020C01019) supported by Tsinghua University the Shanghai Qi Zhi Institute 

主　　题：topological Abelian quantum 

摘      要：Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of *** break the fermion-boson dichotomy and obey non-Abelian braiding statistics:their interchanges yield unitary operations,rather than merely a phase factor,in a space spanned by topologically degenerate *** are the building blocks of topological quantum ***,experimental observation of non-Abelian anyons and their characterizing braiding statistics is notoriously challenging and has remained elusive hitherto,in spite of various theoretical ***,we report an experimental quantum digital simulation of projective non-Abelian anyons and their braiding statistics with up to 68 programmable superconducting qubits arranged on a two-dimensional *** implementing the ground states of the toric-code model with twists through quantum circuits,we demonstrate that twists exchange electric and magnetic charges and behave as a particular type of non-Abelian anyons,i.e.,the Ising *** particular,we show experimentally that these twists follow the fusion rules and non-Abelian braiding statistics of the Ising type,and can be explored to encode topological logical ***,we demonstrate how to implement both single-and two-qubit logic gates through applying a sequence of elementary Pauli gates on the underlying physical *** results demonstrate a versatile quantum digital approach for simulating non-Abelian anyons,offering a new lens into the study of such peculiar quasiparticles.