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Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit |
| 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)‡ |
| National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China |
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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.
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Received: 10 April 2023
Revised: 14 June 2023
Accepted manuscript online: 25 June 2023
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PACS:
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03.67.-a
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(Quantum information)
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03.67.Lx
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(Quantum computation architectures and implementations)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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| Fund: 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). |
Corresponding Authors:
Shaoxiong Li, Yang Yu
E-mail: shaoxiong.li@nju.edu.cn;yuyang@nju.edu.cn
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Cite this article:
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 2023 Chin. Phys. B 32 100304
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