Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms

doi:10.1088/1674-1056/ae6cce

中国物理B ›› 2026, Vol. 35 ›› Issue (8): 80301-080301.doi: 10.1088/1674-1056/ae6cce

Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms

Ya Gao(郜雅)¹, Meng-Le Guo(郭梦乐)¹, Pei-Yao Song(宋佩瑶)¹, Ji-Ze Han(韩济泽)⁴, Zhi-Guo Huang(黄智国)⁴, Jin-Lei Wu(吴金雷)^1,2,†, and Shi-Lei Su(苏石磊)^1,3,‡

1 School of Physics, Zhengzhou University, Zhengzhou 450001, China;
2 Institute of Quantum Science and Technology, Yanbian University, Yanji 133002, China;
3 Institute of Quantum Materials and Physics, Henan Academy of Science, Zhengzhou 450046, China;
4 China Mobile (Suzhou) Software Technology Co., Ltd., Suzhou 215163, China

收稿日期:2026-03-09 修回日期:2026-04-29 接受日期:2026-05-13 发布日期:2026-07-23
通讯作者: Jin-Lei Wu, Shi-Lei Su E-mail:jlwu517@zzu.edu.cn;slsu@zzu.edu.cn
基金资助:
The author S. L. Su would like to thank Prof. K. Mølmer for valuable discussions. This work was supported by the Natural Science Foundation of Henan Province (Grants Nos. 262300422574, 262300421244, and 232300421075), the National Natural Science Foundation of China (Grants Nos. 12304407, 62571494, 12575032, 12274376, and 12504497), the China Postdoctoral Science Foundation (Grants Nos. 2023TQ0310, GZC20232446, and 2024M762973), the Open Project of the State Key Laboratory of Metabolic Dysregulation & Prevention and Treatment of Esophageal Cancer (Grant No. 2025SGAQZ-QN-05), the Natural Science Foundation of Jiangsu Province (Grants Nos. BK20250404 and BG2025017), the Youth Science and Technology Talent Support Project of Jiangsu Province, and the Frontier Technology Research Program of Suzhou (Grant No. SYG202322).

Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms

Ya Gao(郜雅)¹, Meng-Le Guo(郭梦乐)¹, Pei-Yao Song(宋佩瑶)¹, Ji-Ze Han(韩济泽)⁴, Zhi-Guo Huang(黄智国)⁴, Jin-Lei Wu(吴金雷)^1,2,†, and Shi-Lei Su(苏石磊)^1,3,‡

1 School of Physics, Zhengzhou University, Zhengzhou 450001, China;
2 Institute of Quantum Science and Technology, Yanbian University, Yanji 133002, China;
3 Institute of Quantum Materials and Physics, Henan Academy of Science, Zhengzhou 450046, China;
4 China Mobile (Suzhou) Software Technology Co., Ltd., Suzhou 215163, China

Received:2026-03-09 Revised:2026-04-29 Accepted:2026-05-13 Published:2026-07-23
Contact: Jin-Lei Wu, Shi-Lei Su E-mail:jlwu517@zzu.edu.cn;slsu@zzu.edu.cn
Supported by:
The author S. L. Su would like to thank Prof. K. Mølmer for valuable discussions. This work was supported by the Natural Science Foundation of Henan Province (Grants Nos. 262300422574, 262300421244, and 232300421075), the National Natural Science Foundation of China (Grants Nos. 12304407, 62571494, 12575032, 12274376, and 12504497), the China Postdoctoral Science Foundation (Grants Nos. 2023TQ0310, GZC20232446, and 2024M762973), the Open Project of the State Key Laboratory of Metabolic Dysregulation & Prevention and Treatment of Esophageal Cancer (Grant No. 2025SGAQZ-QN-05), the Natural Science Foundation of Jiangsu Province (Grants Nos. BK20250404 and BG2025017), the Youth Science and Technology Talent Support Project of Jiangsu Province, and the Frontier Technology Research Program of Suzhou (Grant No. SYG202322).

摘要/Abstract

摘要： We propose a scheme for realizing nonadiabatic holonomic quantum computation within a decoherence-free subspace using Rydberg atoms. By employing large-detuned lasers and the Rydberg antiblockade condition, we construct an effective Hamiltonian that couples logical states in a three-atom decoherence-free subspace while ensuring that the Rydberg states remain unpopulated. This approach significantly suppresses decoherence caused by atomic spontaneous emission and mitigates the mechanical effects and sensitivity to interatomic distance variations associated with Rydberg excitations. We demonstrate the realization of both conventional and single-loop single-logical-qubit holonomic gates with high fidelity. Furthermore, by utilizing an asymmetric encoding method, in which the control logical qubits employ Rydberg-state encoding to provide the required conditional blockade, we extend the scheme to construct universal two- and three-logical-qubit holonomic gates, offering a robust and scalable approach for quantum information processing.

关键词: quantum computation, Rydberg atom, geometric phase, decoherence-free subspace

Abstract: We propose a scheme for realizing nonadiabatic holonomic quantum computation within a decoherence-free subspace using Rydberg atoms. By employing large-detuned lasers and the Rydberg antiblockade condition, we construct an effective Hamiltonian that couples logical states in a three-atom decoherence-free subspace while ensuring that the Rydberg states remain unpopulated. This approach significantly suppresses decoherence caused by atomic spontaneous emission and mitigates the mechanical effects and sensitivity to interatomic distance variations associated with Rydberg excitations. We demonstrate the realization of both conventional and single-loop single-logical-qubit holonomic gates with high fidelity. Furthermore, by utilizing an asymmetric encoding method, in which the control logical qubits employ Rydberg-state encoding to provide the required conditional blockade, we extend the scheme to construct universal two- and three-logical-qubit holonomic gates, offering a robust and scalable approach for quantum information processing.

Key words: quantum computation, Rydberg atom, geometric phase, decoherence-free subspace

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

03.67.-a (Quantum information) 32.80.Ee (Rydberg states) 03.67.Pp (Quantum error correction and other methods for protection against decoherence)

Ya Gao(郜雅), Meng-Le Guo(郭梦乐), Pei-Yao Song(宋佩瑶), Ji-Ze Han(韩济泽), Zhi-Guo Huang(黄智国), Jin-Lei Wu(吴金雷), and Shi-Lei Su(苏石磊). Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms[J]. 中国物理B, 2026, 35(8): 80301-080301.

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Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms

Nonadiabatic holonomic quantum computation in decoherence-free subspaces on Rydberg atoms

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