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Experimental Quantum Error Correction below the Surface Code Threshold via All-Microwave Leakage Suppression

Tan He1,2,3,*, Weiping Lin1,2,3,*, Rui Wang1,2,3,*, Yuan Li1,2,3,*, Jiahao Bei2, Jianbin Cai1,2,3, Sirui Cao1,2,3, Danning Chen4, Kefu Chen1,2,3 et al.

Xiawei Chen2, Zhe Chen4, Zhiyuan Chen1,2,3, Zihua Chen1,2,3, Wenhao Chu4, Hui Deng1,2,3, Xun Ding3, Zhuzhengqi Ding2, Bo Fan2, Daojin Fan1,2,3, Yuanhao Fu1,2,3, Dongxin Gao1,2,3, Ming Gong1,2,3, Jiacheng Gui3, Cheng Guo1,2,3, Shaojun Guo1,2,3, Lianchen Han1,2,3, Linyin Hong4, Yisen Hu1,2,3, He-Liang Huang5, Yong-Heng Huo1,2,3, Chenyan Jiang3, Lei Jiang1,2,3, Tao Jiang1,2,3, Zuokai Jiang2, Honghong Jin2, Dayu Li1,2,3, Dongdong Li4, Jiaqi Li2, Jinjin Li3, Junyan Li2, Junyun Li1,2,3, Na Li1,2,3, Shaowei Li1,2,3, Yuhuai Li1,2,3, Futian Liang1,2,3, Nanxing Liao2, Jin Lin1,2,3, Ke Liu1,2,3, Maliang Liu6, Yancheng Liu1,2,3, Haoxin Lou2, Yuwei Ma1,2,3, Kailiang Nan3, Meijuan Nie2, Le Niu2, Wenyi Peng3, Haoran Qian1,2,3, Hao Rong1,2,3, Tao Rong1,2,3, Huiyan Shen4, Qiong Shen2, Hong Su1,2,3, Feifan Su1,2,3, Chenyin Sun1,2,3, Liangchao Sun4, Tianzuo Sun1,2,3, Yingxiu Sun4, Yimeng Tan2, Jun Tan3, Wenbing Tu4, Jiafei Wang4, Biao Wang4, Chang Wang4, Chen Wang1,2,3, Chu Wang1,2,3, Jian Wang3, Shengtao Wang3, Xinzhe Wang3, Zuolin Wei1,2,3, Dachao Wu1,2,3, Gang Wu1,2,3, Yulin Wu1,2,3, Yu Xu1,2,3, Chun Xue4, Kai Yan1,2,3, Xin Yan4, Weifeng Yang4, Xinpeng Yang1,2,3, Yang Yang2, Yangsen Ye1,2,3, Zhenping Ye1,2,3, Zhengzhong Yi1,2,3, Chong Ying1,2,3, Jiale Yu1,2,3, Qinjing Yu1,2,3, Xiangdong Zeng3, Chen Zha1,2,3, Shaoyu Zhan1,2,3, Haibin Zhang3, He Zhang3, Kaili Zhang2, Wen Zhang2, Yiming Zhang1,2,3, Yongzhuo Zhang3, Ziying Zhang4, Guming Zhao1,2,3, Xintao Zhao2, Youwei Zhao1,2,3, Zhong Zhao4, Luyuan Zheng2, Fei Zhou7, Liang Zhou4, Na Zhou2, Naibin Zhou1,2,3, Chengjun Zhu3, Qingling Zhu1,2,3, Guihong Zou3, Haonan Zou2, Qiang Zhang1,2,3,7, Chao-Yang Lu1,2,3, Cheng-Zhi Peng1,2,3, Fusheng Chen1,2,3, XiaoBo Zhu1,2,3,7, and Jian-Wei Pan1,2,3

  • *These authors contributed equally to this work.

Phys. Rev. Lett. 135, 260601 – Published 22 December, 2025

DOI: https://doi.org/10.1103/rqkg-dw31

Abstract

Quantum error correction (QEC) enables practical quantum computing by encoding logical qubits in many physical qubits, which can exponentially suppress the logical error rate with increasing code size provided that the physical error rate is below a critical threshold. However, the leakage of quantum information from the computational subspace presents a critical challenge to the development of scalable QEC, which creates long-lived, correlated errors that spread across space and time. Here, we demonstrate a quantum memory operating below the threshold by implementing an all-microwave leakage suppression architecture on a distance-7 surface code. We achieve a logical error suppression factor of Λ=1.40(6), definitively reversing the above-threshold scaling (Λ<1) caused by unmitigated leakage. This scheme integrates a hardware-efficient leakage reduction unit for data qubits with a fast, unconditional reset for ancilla qubits, suppressing the average leakage population after 40 cycles by a factor of 72 to 6.4(5)×10−4. Our results demonstrate the viability of all-microwave control architectures for suppressing critical errors at scale, paving the way for more advanced quantum error correction implementations.

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