补偿脉冲下非绝热几何单比特门的鲁棒性

doi:10.12066/j.issn.1007-2861.2640

上海大学学报(自然科学版) ›› 2025, Vol. 31 ›› Issue (4): 666-677.doi: 10.12066/j.issn.1007-2861.2640

补偿脉冲下非绝热几何单比特门的鲁棒性

赖莹¹, 黄杰东¹, 钱洋¹, 延英^2,3,4, 陆杰¹

1. 上海大学理学院, 上海 200444;
2. 苏州大学光电科学与工程学院, 江苏苏州 215006;
3. 江苏省先进光学制造技术重点实验室, 江苏苏州 215006;
4. 苏州大学数码激光成像与显示教育部工程研究中心, 江苏苏州 215006

收稿日期:2024-08-10 出版日期:2025-08-31 发布日期:2025-09-16
通讯作者: 陆杰(1978—),男,副教授,博士,研究方向为量子计算. E-mail:lujie@shu.edu.cn
基金资助:
江苏省先进光学制造技术重点实验室自主研究课题(ZZ2109)

Robustness of non-adiabatic geometric single qubit gate with compensation pulse

LAI Ying¹, HUANG Jiedong¹, QIAN Yang¹, YAN Ying^2,3,4, LU Jie¹

1. College of Sciences, Shanghai University, Shanghai 200444, China;
2. School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, Jiangsu, China;
3. Jiangsu Province Key Laboratory of Advanced Optical Manufacturing Technology, Suzhou 215006, Jiangsu, China;
4. Engineering Research Center for Digital Laser Imaging and Display, Ministry of Education, Soochow University, Suzhou 215006, Jiangsu, China

Received:2024-08-10 Online:2025-08-31 Published:2025-09-16

摘要/Abstract

摘要： 单比特量子逻辑门是实现量子计算的核心元件,其高保真度和良好的鲁棒性是不可或缺的关键特性.利用几何相位的全局特性来设计量子门是一个重要的方法,该方法能够较好地抵抗某些局部干扰,从而提高门操作的容错能力.在一些实验方案中,常在量子门操作之后施加一个补偿脉冲以提高保真度.在非绝热几何量子计算的框架下,从一般的含时微扰论出发,考察了系统误差对保真度的影响,并得出了相应的解析结果.此外,还通过数值模拟验证了这些解析结果对量子门鲁棒性的影响,为设计更优的脉冲确立了可能的方向.研究结果表明,加入补偿脉冲后,量子非门和S门保真度的偏差可以降低约50%.

关键词: 几何量子计算, 含时微扰论, 单比特量子门, 补偿脉冲, 保真度, 鲁棒性

Abstract: Single qubit gates are the core components for realizing quantum computing, and their high fidelity and robustness are indispensable key characteristics. Designing quantum gates using the global properties of geometric phases is an important approach, as this method can effectively resist certain local perturbations, thereby improving the fault tolerance of gate operations. In some experimental schemes, a compensation pulse is often applied after quantum gate operations to enhance fidelity. Within the framework of non-adiabatic geometric quantum computing and based on the general theory of time-dependent perturbation, this paper examined the impact of system errors on fidelity and derived the corresponding analytical results. Moreover, the paper validated these analytical results through numerical simulations, demonstrating their influence on the robustness of quantum gates. This provides a potential direction for designing more optimal pulses. The results show that the fidelity error of the NOT gate and S gate can be reduced by about 50% with the help of a compensation pulse.

Key words: geometric quantum computing, time-dependent perturbation theory, single qubit gate, compensation pulse, fidelity, robustness

中图分类号:

O413.1

赖莹, 黄杰东, 钱洋, 延英, 陆杰. 补偿脉冲下非绝热几何单比特门的鲁棒性[J]. 上海大学学报(自然科学版), 2025, 31(4): 666-677.

LAI Ying, HUANG Jiedong, QIAN Yang, YAN Ying, LU Jie. Robustness of non-adiabatic geometric single qubit gate with compensation pulse[J]. Journal of Shanghai University（Natural Science Edition）, 2025, 31(4): 666-677.

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补偿脉冲下非绝热几何单比特门的鲁棒性

Robustness of non-adiabatic geometric single qubit gate with compensation pulse

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