Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit

doi:10.1088/1674-1056/ace15b

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100304-100304.doi: 10.1088/1674-1056/ace15b

Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit

National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China

收稿日期:2023-04-10 修回日期:2023-06-14 接受日期:2023-06-25 出版日期:2023-09-21 发布日期:2023-10-08
通讯作者: Shaoxiong Li, Yang Yu E-mail:shaoxiong.li@nju.edu.cn;yuyang@nju.edu.cn
基金资助:
Project supported by the Key Research and Development Program of Guangdong Province, China (Grant No. 2018B030326001), the National Natural Science Foundation of China (Grant Nos. 11474152, 12074179, U21A20436, and 61521001), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BE2021015-1).

Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit

National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China

Received:2023-04-10 Revised:2023-06-14 Accepted:2023-06-25 Online:2023-09-21 Published:2023-10-08
Contact: Shaoxiong Li, Yang Yu E-mail:shaoxiong.li@nju.edu.cn;yuyang@nju.edu.cn
Supported by:
Project supported by the Key Research and Development Program of Guangdong Province, China (Grant No. 2018B030326001), the National Natural Science Foundation of China (Grant Nos. 11474152, 12074179, U21A20436, and 61521001), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BE2021015-1).

摘要/Abstract

摘要： One of the key features required to realize fault-tolerant quantum computation is the robustness of quantum gates against errors. Since geometric quantum gate is naturally insensitivity to noise, it appears to be a promising routine to achieve high-fidelity, robust quantum gates. The implementation of geometric quantum gate however faces some troubles such as its complex interaction among multiple energy levels. Moreover, traditional geometric schemes usually take more time than equivalent dynamical ones. Here, we experimentally demonstrate a geometric gate scheme with the time-optimal control (TOC) technique in a superconducting quantum circuit. With a transmon qubit and operations restricted to two computational levels, we implement a set of geometric gates which exhibit better robustness features against control errors than the dynamical counterparts. The measured fidelities of TOC $X$ gate and ${X}/{2}$ gate are $99.81 \%$ and $99.79 \%$ respectively. Our work shows a promising routine toward scalable fault-tolerant quantum computation.

关键词: superconducting qubits, geometric quantum computation, time-optimal control

Abstract: One of the key features required to realize fault-tolerant quantum computation is the robustness of quantum gates against errors. Since geometric quantum gate is naturally insensitivity to noise, it appears to be a promising routine to achieve high-fidelity, robust quantum gates. The implementation of geometric quantum gate however faces some troubles such as its complex interaction among multiple energy levels. Moreover, traditional geometric schemes usually take more time than equivalent dynamical ones. Here, we experimentally demonstrate a geometric gate scheme with the time-optimal control (TOC) technique in a superconducting quantum circuit. With a transmon qubit and operations restricted to two computational levels, we implement a set of geometric gates which exhibit better robustness features against control errors than the dynamical counterparts. The measured fidelities of TOC $X$ gate and ${X}/{2}$ gate are $99.81 \%$ and $99.79 \%$ respectively. Our work shows a promising routine toward scalable fault-tolerant quantum computation.

Key words: superconducting qubits, geometric quantum computation, time-optimal control

中图分类号: (Quantum information)

03.67.-a

03.67.Lx (Quantum computation architectures and implementations) 03.65.Vf (Phases: geometric; dynamic or topological)

Zhimin Wang(王治旻), Zhuang Ma(马壮), Xiangmin Yu(喻祥敏), Wen Zheng(郑文), Kun Zhou(周坤), Yujia Zhang(张宇佳), Yu Zhang(张钰), Dong Lan(兰栋), Jie Zhao(赵杰), Xinsheng Tan(谭新生), Shaoxiong Li(李邵雄), and Yang Yu(于扬). Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit[J]. 中国物理B, 2023, 32(10): 100304-100304.

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Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit

Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit

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