Robust holonomic quantum gates via cyclic evolution protection
Nonadiabatic holonomic quantum computation provides a promising approach toward fault-tolerant quantum control, due to its simple requirements for energy level structure and intrinsic robustness stemming from non-Abelian geometric phases. However, conventional nonadiabatic holonomic quantum computat...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-03-01
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| Series: | APL Quantum |
| Online Access: | http://dx.doi.org/10.1063/5.0249368 |
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| _version_ | 1850259638009724928 |
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| author | Yan Liang Tao Chen Zheng-Yuan Xue |
| author_facet | Yan Liang Tao Chen Zheng-Yuan Xue |
| author_sort | Yan Liang |
| collection | DOAJ |
| description | Nonadiabatic holonomic quantum computation provides a promising approach toward fault-tolerant quantum control, due to its simple requirements for energy level structure and intrinsic robustness stemming from non-Abelian geometric phases. However, conventional nonadiabatic holonomic quantum computation relies on segmented evolution along a specific trajectory, which not only complicates experimental control but also exacerbates decoherence effects. Meanwhile, minor deviations in systematic parameters can directly disrupt the cyclic evolution process necessary to construct holonomic gates, leading to degraded gate robustness. To address these disadvantages, we here propose a general strategy to incorporate cyclic evolution protection into the holonomic gate construction. The aim is to design on-demand trajectories by modulating pulse shapes, thereby circumventing the detrimental impact of systematic errors on cyclic evolution. Consequently, universal holonomic gates implemented through a stable cyclic evolution process can maintain lower error sensitivity. Meanwhile, in our scheme, compressing the state population in the ancillary state ensures less energy consumption, resulting in higher gate fidelity. Therefore, our work serves as a practical solution for achieving high-fidelity and robust universal quantum gates, paving the way for large-scale quantum computation. |
| format | Article |
| id | doaj-art-e277df427fff4f8c8c444f2bf0176e35 |
| institution | OA Journals |
| issn | 2835-0103 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | APL Quantum |
| spelling | doaj-art-e277df427fff4f8c8c444f2bf0176e352025-08-20T01:55:49ZengAIP Publishing LLCAPL Quantum2835-01032025-03-0121016120016120-810.1063/5.0249368Robust holonomic quantum gates via cyclic evolution protectionYan Liang0Tao Chen1Zheng-Yuan Xue2School of Physical Science and Technology, Guangxi Normal University, Guilin 541004, ChinaKey Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, and School of Physics, South China Normal University, Guangzhou 510006, ChinaKey Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, and School of Physics, South China Normal University, Guangzhou 510006, ChinaNonadiabatic holonomic quantum computation provides a promising approach toward fault-tolerant quantum control, due to its simple requirements for energy level structure and intrinsic robustness stemming from non-Abelian geometric phases. However, conventional nonadiabatic holonomic quantum computation relies on segmented evolution along a specific trajectory, which not only complicates experimental control but also exacerbates decoherence effects. Meanwhile, minor deviations in systematic parameters can directly disrupt the cyclic evolution process necessary to construct holonomic gates, leading to degraded gate robustness. To address these disadvantages, we here propose a general strategy to incorporate cyclic evolution protection into the holonomic gate construction. The aim is to design on-demand trajectories by modulating pulse shapes, thereby circumventing the detrimental impact of systematic errors on cyclic evolution. Consequently, universal holonomic gates implemented through a stable cyclic evolution process can maintain lower error sensitivity. Meanwhile, in our scheme, compressing the state population in the ancillary state ensures less energy consumption, resulting in higher gate fidelity. Therefore, our work serves as a practical solution for achieving high-fidelity and robust universal quantum gates, paving the way for large-scale quantum computation.http://dx.doi.org/10.1063/5.0249368 |
| spellingShingle | Yan Liang Tao Chen Zheng-Yuan Xue Robust holonomic quantum gates via cyclic evolution protection APL Quantum |
| title | Robust holonomic quantum gates via cyclic evolution protection |
| title_full | Robust holonomic quantum gates via cyclic evolution protection |
| title_fullStr | Robust holonomic quantum gates via cyclic evolution protection |
| title_full_unstemmed | Robust holonomic quantum gates via cyclic evolution protection |
| title_short | Robust holonomic quantum gates via cyclic evolution protection |
| title_sort | robust holonomic quantum gates via cyclic evolution protection |
| url | http://dx.doi.org/10.1063/5.0249368 |
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