Demonstration of low-overhead quantum error correction codes
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866908784019898368 |
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| author | Wang, Ke Lu, Zhide Zhang, Chuanyu Liu, Gongyu Chen, Jiachen Wang, Yanzhe Wu, Yaozu Xu, Shibo Zhu, Xuhao Jin, Feitong Gao, Yu Tan, Ziqi Cui, Zhengyi Wang, Ning Zou, Yiren Zhang, Aosai Li, Tingting Shen, Fanhao Zhong, Jiarun Bao, Zehang Zhu, Zitian Han, Yihang He, Yiyang Shen, Jiayuan Wang, Han Yang, Jia-Nan Song, Zixuan Deng, Jinfeng Dong, Hang Sun, Zheng-Zhi Li, Weikang Ye, Qi Jiang, Si Ma, Yixuan Shen, Pei-Xin Zhang, Pengfei Li, Hekang Guo, Qiujiang Wang, Zhen Song, Chao Wang, H. Deng, Dong-Ling |
| author_facet | Wang, Ke Lu, Zhide Zhang, Chuanyu Liu, Gongyu Chen, Jiachen Wang, Yanzhe Wu, Yaozu Xu, Shibo Zhu, Xuhao Jin, Feitong Gao, Yu Tan, Ziqi Cui, Zhengyi Wang, Ning Zou, Yiren Zhang, Aosai Li, Tingting Shen, Fanhao Zhong, Jiarun Bao, Zehang Zhu, Zitian Han, Yihang He, Yiyang Shen, Jiayuan Wang, Han Yang, Jia-Nan Song, Zixuan Deng, Jinfeng Dong, Hang Sun, Zheng-Zhi Li, Weikang Ye, Qi Jiang, Si Ma, Yixuan Shen, Pei-Xin Zhang, Pengfei Li, Hekang Guo, Qiujiang Wang, Zhen Song, Chao Wang, H. Deng, Dong-Ling |
| contents | Quantum computers hold the potential to surpass classical computers in solving complex computational problems. However, the fragility of quantum information and the error-prone nature of quantum operations make building large-scale, fault-tolerant quantum computers a prominent challenge. To combat errors, pioneering experiments have demonstrated a variety of quantum error correction codes. Yet, most of these codes suffer from low encoding efficiency, and their scalability is hindered by prohibitively high resource overheads. Here, we report the demonstration of two low-overhead quantum low-density parity-check (qLDPC) codes, a distance-4 bivariate bicycle code and a distance-3 qLDPC code, on our latest superconducting processor, Kunlun, featuring 32 long-range-coupled transmon qubits. Utilizing a two-dimensional architecture with overlapping long-range couplers, we demonstrate simultaneous measurements of all nonlocal weight-6 stabilizers via the periodic execution of an efficient syndrome extraction circuit. We achieve a logical error rate per logical qubit per cycle of $(8.91 \pm 0.17)\%$ for the distance-4 bivariate bicycle code with four logical qubits and $(7.77 \pm 0.12)\%$ for the distance-3 qLDPC code with six logical qubits. Our results establish the feasibility of implementing various qLDPC codes with long-range coupled superconducting processors, marking a crucial step towards large-scale low-overhead quantum error correction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Demonstration of low-overhead quantum error correction codes Wang, Ke Lu, Zhide Zhang, Chuanyu Liu, Gongyu Chen, Jiachen Wang, Yanzhe Wu, Yaozu Xu, Shibo Zhu, Xuhao Jin, Feitong Gao, Yu Tan, Ziqi Cui, Zhengyi Wang, Ning Zou, Yiren Zhang, Aosai Li, Tingting Shen, Fanhao Zhong, Jiarun Bao, Zehang Zhu, Zitian Han, Yihang He, Yiyang Shen, Jiayuan Wang, Han Yang, Jia-Nan Song, Zixuan Deng, Jinfeng Dong, Hang Sun, Zheng-Zhi Li, Weikang Ye, Qi Jiang, Si Ma, Yixuan Shen, Pei-Xin Zhang, Pengfei Li, Hekang Guo, Qiujiang Wang, Zhen Song, Chao Wang, H. Deng, Dong-Ling Quantum Physics Quantum computers hold the potential to surpass classical computers in solving complex computational problems. However, the fragility of quantum information and the error-prone nature of quantum operations make building large-scale, fault-tolerant quantum computers a prominent challenge. To combat errors, pioneering experiments have demonstrated a variety of quantum error correction codes. Yet, most of these codes suffer from low encoding efficiency, and their scalability is hindered by prohibitively high resource overheads. Here, we report the demonstration of two low-overhead quantum low-density parity-check (qLDPC) codes, a distance-4 bivariate bicycle code and a distance-3 qLDPC code, on our latest superconducting processor, Kunlun, featuring 32 long-range-coupled transmon qubits. Utilizing a two-dimensional architecture with overlapping long-range couplers, we demonstrate simultaneous measurements of all nonlocal weight-6 stabilizers via the periodic execution of an efficient syndrome extraction circuit. We achieve a logical error rate per logical qubit per cycle of $(8.91 \pm 0.17)\%$ for the distance-4 bivariate bicycle code with four logical qubits and $(7.77 \pm 0.12)\%$ for the distance-3 qLDPC code with six logical qubits. Our results establish the feasibility of implementing various qLDPC codes with long-range coupled superconducting processors, marking a crucial step towards large-scale low-overhead quantum error correction. |
| title | Demonstration of low-overhead quantum error correction codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.09684 |