中国物理B ›› 2025, Vol. 34 ›› Issue (7): 74202-074202.doi: 10.1088/1674-1056/adcd43

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Phase-modulated dynamical decoupling sequences robust to systematic amplitude error

Sijie Chen(陈思婕)1,2,†, Guanxing Chen(陈官幸)1,†, Jiahao Huang(黄嘉豪)1, Peiliang Liu(刘培亮)1,‡, Min Zhuang(庄敏)2,§, and Chaohong Lee(李朝红)2   

  1. 1 Laboratory of Quantum Engineering and Quantum Metrology & School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China;
    2 Institute of Quantum Precision Measurement, State Key Laboratory of Radio Frequency Heterogeneous Integration, College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China
  • 收稿日期:2025-02-17 修回日期:2025-04-14 接受日期:2025-04-16 出版日期:2025-06-18 发布日期:2025-06-30
  • 通讯作者: Peiliang Liu, Min Zhuang E-mail:liupliang@mail.sysu.edu.cn;mmzhuang@szu.edu.cn
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1404104), the National Natural Science Foundation of China (Grant Nos. 92476201, 12025509, 12305022, and 12475029), the Key-Area Research and Development Program of Guangdong Province, China (Grant No. 2019B030330001), and Guangdong Provincial Quantum Science Strategic Initiative Fund (Grant Nos. GDZX2305006 and GDZX2405002).

Phase-modulated dynamical decoupling sequences robust to systematic amplitude error

Sijie Chen(陈思婕)1,2,†, Guanxing Chen(陈官幸)1,†, Jiahao Huang(黄嘉豪)1, Peiliang Liu(刘培亮)1,‡, Min Zhuang(庄敏)2,§, and Chaohong Lee(李朝红)2   

  1. 1 Laboratory of Quantum Engineering and Quantum Metrology & School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China;
    2 Institute of Quantum Precision Measurement, State Key Laboratory of Radio Frequency Heterogeneous Integration, College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China
  • Received:2025-02-17 Revised:2025-04-14 Accepted:2025-04-16 Online:2025-06-18 Published:2025-06-30
  • Contact: Peiliang Liu, Min Zhuang E-mail:liupliang@mail.sysu.edu.cn;mmzhuang@szu.edu.cn
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1404104), the National Natural Science Foundation of China (Grant Nos. 92476201, 12025509, 12305022, and 12475029), the Key-Area Research and Development Program of Guangdong Province, China (Grant No. 2019B030330001), and Guangdong Provincial Quantum Science Strategic Initiative Fund (Grant Nos. GDZX2305006 and GDZX2405002).

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摘要： Dynamical decoupling (DD), usually implemented by sophisticated sequences of instantaneous control pulses, is a well-established quantum control technique for quantum information and quantum sensing. In practice, the pulses are inevitably imperfect with many systematic errors that may influence the performances of DD. In particular, Rabi error and detuning are primary systemic errors arising from finite pulse duration, incorrect time control, and frequency instability. Here, we propose a phase-modulated DD with staggered global phases for the basic units of the pulse sequences to suppress these systemic errors. By varying the global phases appended to the pulses in the dynamical decoupling unit alternatively with 0 or $\pi$, our protocol can significantly reduce the influences of Rabi error and detuning. Our protocol is general and can be combined with the most existing DD sequences such as universal DD, knill DD, XY, etc. As an example, we further apply our method to quantum lock-in detection for measuring time-dependent alternating signals. Our study paves the way for a simple and feasible way to realize robust dynamical decoupling sequences, which can be applicable for various quantum sensing scenarios.

关键词: dynamical decoupling, quantum sensing, quantum lock-in amplifier

Abstract: Dynamical decoupling (DD), usually implemented by sophisticated sequences of instantaneous control pulses, is a well-established quantum control technique for quantum information and quantum sensing. In practice, the pulses are inevitably imperfect with many systematic errors that may influence the performances of DD. In particular, Rabi error and detuning are primary systemic errors arising from finite pulse duration, incorrect time control, and frequency instability. Here, we propose a phase-modulated DD with staggered global phases for the basic units of the pulse sequences to suppress these systemic errors. By varying the global phases appended to the pulses in the dynamical decoupling unit alternatively with 0 or $\pi$, our protocol can significantly reduce the influences of Rabi error and detuning. Our protocol is general and can be combined with the most existing DD sequences such as universal DD, knill DD, XY, etc. As an example, we further apply our method to quantum lock-in detection for measuring time-dependent alternating signals. Our study paves the way for a simple and feasible way to realize robust dynamical decoupling sequences, which can be applicable for various quantum sensing scenarios.

Key words: dynamical decoupling, quantum sensing, quantum lock-in amplifier

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.67.-a (Quantum information) 03.65.Ta (Foundations of quantum mechanics; measurement theory)