Universal Robust Quantum Gates via Doubly Geometric Control
Fuente:
arXiv
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915912920072192 |
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| author | Xu, Hai Chen, Tao Zeng, Junkai Deng, Xiu-Hao Gao, Fang Wang, Xin Xue, Zheng-Yuan Zhang, Chengxian |
| author_facet | Xu, Hai Chen, Tao Zeng, Junkai Deng, Xiu-Hao Gao, Fang Wang, Xin Xue, Zheng-Yuan Zhang, Chengxian |
| contents | Geometric quantum computation offers a potential route to fault-tolerant quantum information processing by exploiting the global nature of geometric phases. However, achieving controlled high-order suppression of multiple error sources remains a long-standing limitation, particularly in realistic large-scale circuits with complex noise environments. This limitation is largely due to the absence of a general framework that directly characterizes error accumulation and enables systematic improvement. Here we establish such a framework for universal doubly geometric gates by embedding target operations into a hierarchy of level-n identity constructions. This approach enables direct quantification of error accumulation while removing structural constraints inherent in previous schemes. We analytically show that the defining conditions lead to simultaneous fourth-order suppression of control errors, with a systematic extension to sixth-order suppression via higher-level constructions. Our results establish doubly geometric control as a general and scalable route toward high-order robust quantum gates, with potential implications for fault-tolerant quantum information processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02962 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universal Robust Quantum Gates via Doubly Geometric Control Xu, Hai Chen, Tao Zeng, Junkai Deng, Xiu-Hao Gao, Fang Wang, Xin Xue, Zheng-Yuan Zhang, Chengxian Quantum Physics Geometric quantum computation offers a potential route to fault-tolerant quantum information processing by exploiting the global nature of geometric phases. However, achieving controlled high-order suppression of multiple error sources remains a long-standing limitation, particularly in realistic large-scale circuits with complex noise environments. This limitation is largely due to the absence of a general framework that directly characterizes error accumulation and enables systematic improvement. Here we establish such a framework for universal doubly geometric gates by embedding target operations into a hierarchy of level-n identity constructions. This approach enables direct quantification of error accumulation while removing structural constraints inherent in previous schemes. We analytically show that the defining conditions lead to simultaneous fourth-order suppression of control errors, with a systematic extension to sixth-order suppression via higher-level constructions. Our results establish doubly geometric control as a general and scalable route toward high-order robust quantum gates, with potential implications for fault-tolerant quantum information processing. |
| title | Universal Robust Quantum Gates via Doubly Geometric Control |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.02962 |