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

被引：53

作者：

Xu, Shibo ^{[1
,2
]}

Sun, Zheng-Zhi ^{[3
]}

Wang, Ke ^{[1
,2
]}

Xiang, Liang ^{[1
,2
]}

Bao, Zehang ^{[1
,2
]}

Zhu, Zitian ^{[1
,2
]}

Shen, Fanhao ^{[1
,2
]}

Song, Zixuan ^{[1
,2
]}

Zhang, Pengfei ^{[1
,2
]}

Ren, Wenhui ^{[1
,2
]}

Zhang, Xu ^{[1
,2
]}

Dong, Hang ^{[1
,2
]}

Deng, Jinfeng ^{[1
,2
]}

Chen, Jiachen ^{[1
,2
]}

Wu, Yaozu ^{[1
,2
]}

Tan, Ziqi ^{[1
,2
]}

Gao, Yu ^{[1
,2
]}

Jin, Feitong ^{[1
,2
]}

Zhu, Xuhao ^{[1
,2
]}

Zhang, Chuanyu ^{[1
,2
]}

Wang, Ning ^{[1
,2
]}

Zou, Yiren ^{[1
,2
]}

Zhong, Jiarun ^{[1
,2
]}

Zhang, Aosai ^{[1
,2
]}

Li, Weikang ^{[3
]}

Jiang, Wenjie ^{[3
]}

Yu, Li-Wei ^{[4
]}

Yao, Yunyan ^{[1
,2
]}

Wang, Zhen ^{[1
,2
,5
]}

Li, Hekang ^{[1
,2
]}

Guo, Qiujiang ^{[1
,2
,5
]}

Song, Chao ^{[1
,2
,5
]}

Wang, H. ^{[1
,2
,5
]}

Deng, Dong-Ling ^{[3
,5
,6
]}

机构：

[1] Zhejiang Univ, ZJU Hangzhou Global Sci & Technol Innovat Ctr, Interdisciplinary Ctr Quantum Informat, Sch Phys, Hangzhou 310027, Peoples R China

[2] Zhejiang Univ, Zhejiang Prov Key Lab Quantum Technol & Device, Hangzhou 310027, Peoples R China

[3] Tsinghua Univ, Ctr Quantum Informat, IIIS, Beijing 100084, Peoples R China

[4] Nankai Univ, Chern Inst Math & LPMC, Theoret Phys Div, Tianjin 300071, Peoples R China

[5] Hefei Natl Lab, Hefei 230088, Peoples R China

[6] Shanghai Qi Zhi Inst, Shanghai 200232, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2023年 / 40卷 / 06期

基金：

中国国家自然科学基金;

关键词：

QUANTUM COMPUTATION; STATISTICS; STATES;

D O I：

10.1088/0256-307X/40/6/060301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：7

共 50 条

[1]

Acharya Rajeev., 2022, SUPPRESSING QUANTUM

[2] Non-Abelian statistics and topological quantum information processing in 1D wire networks [J].