Error per single-qubit gate below 10−4 in a superconducting qubit

Abstract Implementing arbitrary single-qubit gates with near perfect fidelity is among the most fundamental requirements in gate-based quantum information processing. In this work, we fabricate a transmon qubit with long coherence times and demonstrate single-qubit gates with the average gate error...

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Main Authors: Zhiyuan Li, Pei Liu, Peng Zhao, Zhenyu Mi, Huikai Xu, Xuehui Liang, Tang Su, Weijie Sun, Guangming Xue, Jing-Ning Zhang, Weiyang Liu, Yirong Jin, Haifeng Yu
Format: Article
Language:English
Published: Nature Portfolio 2023-11-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-023-00781-x
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author Zhiyuan Li
Pei Liu
Peng Zhao
Zhenyu Mi
Huikai Xu
Xuehui Liang
Tang Su
Weijie Sun
Guangming Xue
Jing-Ning Zhang
Weiyang Liu
Yirong Jin
Haifeng Yu
author_facet Zhiyuan Li
Pei Liu
Peng Zhao
Zhenyu Mi
Huikai Xu
Xuehui Liang
Tang Su
Weijie Sun
Guangming Xue
Jing-Ning Zhang
Weiyang Liu
Yirong Jin
Haifeng Yu
author_sort Zhiyuan Li
collection DOAJ
description Abstract Implementing arbitrary single-qubit gates with near perfect fidelity is among the most fundamental requirements in gate-based quantum information processing. In this work, we fabricate a transmon qubit with long coherence times and demonstrate single-qubit gates with the average gate error below 10−4, i.e. (7.42 ± 0.04) × 10−5 by randomized benchmarking (RB). To understand the error sources, we experimentally obtain an error budget, consisting of the decoherence errors lower bounded by (4.62 ± 0.04) × 10−5 and the leakage rate per gate of (1.16 ± 0.04) × 10−5. Moreover, we reconstruct the process matrices for the single-qubit gates by the gate set tomography (GST), with which we simulate RB sequences and obtain single-qubit fidelities consistent with experimental results. We also observe non-Markovian behavior in the experiment of long-sequence GST, which may provide guidance for further calibration. The demonstration extends the upper limit that the average fidelity of single-qubit gates can reach in a transmon-qubit system, and thus can be an essential step towards practical and reliable quantum computation in the near future.
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spelling doaj.art-f3ed79e84dae4ce69bfccad31e846efc2023-11-05T12:25:51ZengNature Portfolionpj Quantum Information2056-63872023-11-01911610.1038/s41534-023-00781-xError per single-qubit gate below 10−4 in a superconducting qubitZhiyuan Li0Pei Liu1Peng Zhao2Zhenyu Mi3Huikai Xu4Xuehui Liang5Tang Su6Weijie Sun7Guangming Xue8Jing-Ning Zhang9Weiyang Liu10Yirong Jin11Haifeng Yu12Beijing Academy of Quantum Information SciencesState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesBeijing Academy of Quantum Information SciencesAbstract Implementing arbitrary single-qubit gates with near perfect fidelity is among the most fundamental requirements in gate-based quantum information processing. In this work, we fabricate a transmon qubit with long coherence times and demonstrate single-qubit gates with the average gate error below 10−4, i.e. (7.42 ± 0.04) × 10−5 by randomized benchmarking (RB). To understand the error sources, we experimentally obtain an error budget, consisting of the decoherence errors lower bounded by (4.62 ± 0.04) × 10−5 and the leakage rate per gate of (1.16 ± 0.04) × 10−5. Moreover, we reconstruct the process matrices for the single-qubit gates by the gate set tomography (GST), with which we simulate RB sequences and obtain single-qubit fidelities consistent with experimental results. We also observe non-Markovian behavior in the experiment of long-sequence GST, which may provide guidance for further calibration. The demonstration extends the upper limit that the average fidelity of single-qubit gates can reach in a transmon-qubit system, and thus can be an essential step towards practical and reliable quantum computation in the near future.https://doi.org/10.1038/s41534-023-00781-x
spellingShingle Zhiyuan Li
Pei Liu
Peng Zhao
Zhenyu Mi
Huikai Xu
Xuehui Liang
Tang Su
Weijie Sun
Guangming Xue
Jing-Ning Zhang
Weiyang Liu
Yirong Jin
Haifeng Yu
Error per single-qubit gate below 10−4 in a superconducting qubit
npj Quantum Information
title Error per single-qubit gate below 10−4 in a superconducting qubit
title_full Error per single-qubit gate below 10−4 in a superconducting qubit
title_fullStr Error per single-qubit gate below 10−4 in a superconducting qubit
title_full_unstemmed Error per single-qubit gate below 10−4 in a superconducting qubit
title_short Error per single-qubit gate below 10−4 in a superconducting qubit
title_sort error per single qubit gate below 10 4 in a superconducting qubit
url https://doi.org/10.1038/s41534-023-00781-x
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