Gaussian boson sampling with 1,024 squeezed states in 8,176 modes.

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Title: Gaussian boson sampling with 1,024 squeezed states in 8,176 modes.
Authors: Liu HL; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Su H; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Deng YH; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Gong SQ; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Gu YC; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Tang HY; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Jia MH; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Wei Q; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Song YK; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China., Wang DZ; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China., Zheng MY; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China., Chen FX; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China., Li LB; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China., Ren SY; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China., Zhu XZ; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China., Wang MH; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China., Chen YJ; Department of Computer Science and Technology and Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China., Liu YF; National Supercomputer Center in Wuxi, Wuxi, China., Song LS; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China., Yang PY; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China., Chen JS; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China.; Laoshan Laboratory, Qingdao, China., An H; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China.; Laoshan Laboratory, Qingdao, China., Zhang L; Shanghai Precilasers Technology, Shanghai, China., Gan L; Department of Computer Science and Technology and Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China.; Hetao Institute of Mathematics and Interdisciplinary Sciences, Shenzhen, China., Yang GW; Department of Computer Science and Technology and Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China., Xu JM; Jiuzhang Quantum Technology, Jinan, China., He YM; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Wang H; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Zhong HS; Shanghai Artificial Intelligence Laboratory, Shanghai, China.; Shanghai Innovation Institute, Shanghai, China., Chen MC; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Jiang X; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Li L; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Liu NL; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China., Su XL; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China., Zhang Q; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China., Lu CY; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China. cylu@ustc.edu.cn.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China. cylu@ustc.edu.cn.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China. cylu@ustc.edu.cn., Pan JW; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China. pan@ustc.edu.cn.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China. pan@ustc.edu.cn.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China. pan@ustc.edu.cn.
Source: Nature [Nature] 2026 May; Vol. 653 (8115), pp. 687-692. Date of Electronic Publication: 2026 May 13.
Publication Type: Journal Article
Journal Info: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 0410462 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1476-4687 (Electronic) Linking ISSN: 00280836 NLM ISO Abbreviation: Nature Subsets: MEDLINE; PubMed not MEDLINE
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  Data: Gaussian boson sampling with 1,024 squeezed states in 8,176 modes.
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  Data: <searchLink fieldCode="AU" term="%22Liu+HL%22">Liu HL</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Su+H%22">Su H</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Deng+YH%22">Deng YH</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Gong+SQ%22">Gong SQ</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Gu+YC%22">Gu YC</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Tang+HY%22">Tang HY</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Jia+MH%22">Jia MH</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Wei+Q%22">Wei Q</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Song+YK%22">Song YK</searchLink>; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China.<br /><searchLink fieldCode="AU" term="%22Wang+DZ%22">Wang DZ</searchLink>; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China.<br /><searchLink fieldCode="AU" term="%22Zheng+MY%22">Zheng MY</searchLink>; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China.<br /><searchLink fieldCode="AU" term="%22Chen+FX%22">Chen FX</searchLink>; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China.<br /><searchLink fieldCode="AU" term="%22Li+LB%22">Li LB</searchLink>; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China.<br /><searchLink fieldCode="AU" term="%22Ren+SY%22">Ren SY</searchLink>; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China.<br /><searchLink fieldCode="AU" term="%22Zhu+XZ%22">Zhu XZ</searchLink>; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China.<br /><searchLink fieldCode="AU" term="%22Wang+MH%22">Wang MH</searchLink>; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China.<br /><searchLink fieldCode="AU" term="%22Chen+YJ%22">Chen YJ</searchLink>; Department of Computer Science and Technology and Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China.<br /><searchLink fieldCode="AU" term="%22Liu+YF%22">Liu YF</searchLink>; National Supercomputer Center in Wuxi, Wuxi, China.<br /><searchLink fieldCode="AU" term="%22Song+LS%22">Song LS</searchLink>; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Yang+PY%22">Yang PY</searchLink>; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Chen+JS%22">Chen JS</searchLink>; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China.; Laoshan Laboratory, Qingdao, China.<br /><searchLink fieldCode="AU" term="%22An+H%22">An H</searchLink>; School of Computer Science and Technology, University of Science and Technology of China, Hefei, China.; Laoshan Laboratory, Qingdao, China.<br /><searchLink fieldCode="AU" term="%22Zhang+L%22">Zhang L</searchLink>; Shanghai Precilasers Technology, Shanghai, China.<br /><searchLink fieldCode="AU" term="%22Gan+L%22">Gan L</searchLink>; Department of Computer Science and Technology and Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China.; Hetao Institute of Mathematics and Interdisciplinary Sciences, Shenzhen, China.<br /><searchLink fieldCode="AU" term="%22Yang+GW%22">Yang GW</searchLink>; Department of Computer Science and Technology and Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing, China.<br /><searchLink fieldCode="AU" term="%22Xu+JM%22">Xu JM</searchLink>; Jiuzhang Quantum Technology, Jinan, China.<br /><searchLink fieldCode="AU" term="%22He+YM%22">He YM</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Wang+H%22">Wang H</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Zhong+HS%22">Zhong HS</searchLink>; Shanghai Artificial Intelligence Laboratory, Shanghai, China.; Shanghai Innovation Institute, Shanghai, China.<br /><searchLink fieldCode="AU" term="%22Chen+MC%22">Chen MC</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Jiang+X%22">Jiang X</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Li+L%22">Li L</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Liu+NL%22">Liu NL</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.<br /><searchLink fieldCode="AU" term="%22Su+XL%22">Su XL</searchLink>; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, China.; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China.<br /><searchLink fieldCode="AU" term="%22Zhang+Q%22">Zhang Q</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China.; Jinan Institute of Quantum Technology and Hefei National Laboratory Jinan Branch, Jinan, China.<br /><searchLink fieldCode="AU" term="%22Lu+CY%22">Lu CY</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China. cylu@ustc.edu.cn.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China. cylu@ustc.edu.cn.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China. cylu@ustc.edu.cn.<br /><searchLink fieldCode="AU" term="%22Pan+JW%22">Pan JW</searchLink>; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, China. pan@ustc.edu.cn.; New Cornerstone Science Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China. pan@ustc.edu.cn.; Hefei National Laboratory, University of Science and Technology of China, Hefei, China. pan@ustc.edu.cn.
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