中国物理B ›› 2026, Vol. 35 ›› Issue (2): 24203-024203.doi: 10.1088/1674-1056/adf4ad

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High-sensitivity phase estimation with a two-mode squeezed coherent state based on a Mach-Zehnder interferometer

Pengxiang Ruan(阮鹏祥)1, Jun Liu(刘俊)1,†, Chenlu Li(李晨露)1, Qingli Jing(荆庆丽)1, Mingming Zhang(张明明)1, and Dong-Xu Chen(陈东旭)2,‡   

  1. 1 School of Science, Jiangsu University of Science and Technology, ZhenJiang 212003, China;
    2 Quantum Information Research Center, Shangrao Normal University, Shangrao 334001, China
  • 收稿日期:2025-05-21 修回日期:2025-07-18 接受日期:2025-07-28 发布日期:2026-01-27
  • 通讯作者: Jun Liu, Dong-Xu Chen E-mail:junliu@just.edu.cn;chendx@sru.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12104190, 12104189, 12204312), the Natural Science Foundation of Jiangsu Province (Grant No. BK20210874), General project of Natural Science Research in Colleges And Universities of Jiangsu Province (Grant No. 20KJB140008), the Jiangxi Provincial Natural Science Foundation (Grant Nos. 20224BAB211014 and 20232BAB201042), and Key Laboratory of TianQin Project (Sun Yat-sen University).

High-sensitivity phase estimation with a two-mode squeezed coherent state based on a Mach-Zehnder interferometer

Pengxiang Ruan(阮鹏祥)1, Jun Liu(刘俊)1,†, Chenlu Li(李晨露)1, Qingli Jing(荆庆丽)1, Mingming Zhang(张明明)1, and Dong-Xu Chen(陈东旭)2,‡   

  1. 1 School of Science, Jiangsu University of Science and Technology, ZhenJiang 212003, China;
    2 Quantum Information Research Center, Shangrao Normal University, Shangrao 334001, China
  • Received:2025-05-21 Revised:2025-07-18 Accepted:2025-07-28 Published:2026-01-27
  • Contact: Jun Liu, Dong-Xu Chen E-mail:junliu@just.edu.cn;chendx@sru.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12104190, 12104189, 12204312), the Natural Science Foundation of Jiangsu Province (Grant No. BK20210874), General project of Natural Science Research in Colleges And Universities of Jiangsu Province (Grant No. 20KJB140008), the Jiangxi Provincial Natural Science Foundation (Grant Nos. 20224BAB211014 and 20232BAB201042), and Key Laboratory of TianQin Project (Sun Yat-sen University).

摘要: A scheme is proposed based on a Mach-Zehnder interferometer with high phase sensitivity, utilizing a two-mode squeezed coherent state, generated by four-wave mixing, as input. The phase sensitivity of this scheme easily surpasses the Heisenberg limit when intensity difference detection is applied. Under phase-matching conditions, the quantum Cramér-Rao bound significantly exceeds the Heisenberg limit. Additionally, the scheme exhibits robustness against photon loss. When compared with the modified SU(1,1) interferometer with two coherent state inputs, this approach demonstrates superior measurement sensitivity, evaluated through various detection methods and the quantum Cramér-Rao bound. This work holds potential applications in quantum metrology.

关键词: two-mode squeezed coherent state, phase estimation, quantum Cramér-Rao bound, Heisenberg limit

Abstract: A scheme is proposed based on a Mach-Zehnder interferometer with high phase sensitivity, utilizing a two-mode squeezed coherent state, generated by four-wave mixing, as input. The phase sensitivity of this scheme easily surpasses the Heisenberg limit when intensity difference detection is applied. Under phase-matching conditions, the quantum Cramér-Rao bound significantly exceeds the Heisenberg limit. Additionally, the scheme exhibits robustness against photon loss. When compared with the modified SU(1,1) interferometer with two coherent state inputs, this approach demonstrates superior measurement sensitivity, evaluated through various detection methods and the quantum Cramér-Rao bound. This work holds potential applications in quantum metrology.

Key words: two-mode squeezed coherent state, phase estimation, quantum Cramér-Rao bound, Heisenberg limit

中图分类号:  (Quantum optics)

  • 42.50.-p
03.65.Ta (Foundations of quantum mechanics; measurement theory) 42.50.St (Nonclassical interferometry, subwavelength lithography)