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 

机构地区：[1]School of Physics,ZJU-Hangzhou Global Scientific and Technological Innovation Center,Interdisciplinary Center for Quantum Information,and Zhejiang Province Key Laboratory of Quantum Technology and Device,Zhejiang University,Hangzhou 310027,China [2]Center for Quantum Information,IIIS,Tsinghua University,Beijing 100084,China [3]Theoretical Physics Division,Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300071,China [4]Hefei National Laboratory,Hefei 230088,China [5]Shanghai Qi Zhi Institute,Shanghai 200232,China

出　　处：《Chinese Physics Letters》2023年第6期1-7,共7页中国物理快报（英文版）

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。

摘　　要：Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of matter.They 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 wavefunctions.They are the building blocks of topological quantum computing.However,experimental observation of non-Abelian anyons and their characterizing braiding statistics is notoriously challenging and has remained elusive hitherto,in spite of various theoretical proposals.Here,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 lattice.By 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 anyons.In 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 qubits.Furthermore,we demonstrate how to implement both single-and two-qubit logic gates through applying a sequence of elementary Pauli gates on the underlying physical qubits.Our results demonstrate a versatile quantum digital approach for simulating non-Abelian anyons,offering a new lens into the study of such peculiar quasiparticles.

关 键 词：TOPOLOGICAL ABELIAN QUANTUM 

分 类 号：O413[理学—理论物理]