Dynamical-invariant-based holonomic quantum gates:Theory and experiment

作     者：Yingcheng Li Tao Xin Chudan Qiu Keren Li Gangqin Liu Jun Li Yidun Wan Dawei Lu Yingcheng Li;Tao Xin;Chudan Qiu;Keren Li;Gangqin Liu;Jun Li;Yidun Wan;Dawei Lu

作者机构：State Key Laboratory of Surface PhysicsDepartment of PhysicsCenter for Field Theory and Particle Physicsand Institute for Nanoelectronic devices and Quantum computingFudan UniversityShanghai 200433China Shanghai Qi Zhi InstituteShanghai 200030China Shenzhen Institute for Quantum Science and Engineering and Department of PhysicsSouthern University of Science and TechnologyShenzhen 518055China d Guangdong Provincial Key Laboratory of Quantum Science and EngineeringShenzhen 518055GuangdongChina Center for Quantum ComputingPeng Cheng LaboratoryShenzhen 518055China Institute of PhysicsChinese Academy of SciencesBeijing 100190China 

出 版 物：《Fundamental Research》 (自然科学基础研究（英文版）)

年 卷 期：2023年第3卷第2期

页      面：229-236页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Key Research and Development Program of China 国家自然科学基金 Guangdong Basic and Applied Basic Research Foundation Guangdong International Collaboration Program Science,Technology and Innovation Commission of Shenzhen Municipality Pengcheng Scholars,Guangdong Innovative and Entrepreneurial Research Team Program Guangdong Provincial Key Laboratory 国家自然科学基金 General Program of Science and Technology of Shanghai Fudan University Original Project Shanghai Municipal Science and Technology Major Project 

主　　题：Geometric gates Dynamical invariant Nuclear magnetic resonance Holonomic gates Platform-independent 

摘      要：Among existing approaches to holonomic quantum computing,the adiabatic holonomic quantum gates(HQGs)suffer errors due to decoherence,while the non-adiabatic HQGs either require additional Hilbert spaces or are difficult to ***,we report a systematic,scalable approach based on dynamical invariants to realize HQGs without using additional Hilbert *** presenting the theoretical framework of our approach,we design and experimentally evaluate single-qubit and two-qubits HQGs for the nuclear magnetic resonance *** single-qubit gates acquire average fidelity 0.9972 by randomized benchmarking,and the controlled-NOT gate acquires fidelity 0.9782 by quantum process *** approach is also platform-independent,and thus may open a way to large-scale holonomic quantum computation.