中国物理B ›› 2023, Vol. 32 ›› Issue (1): 10306-010306.doi: 10.1088/1674-1056/ac981d

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Tolerance-enhanced SU(1,1) interferometers using asymmetric gain

Jian-Dong Zhang(张建东) and Shuai Wang(王帅)   

  1. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China
  • 收稿日期:2022-08-09 修回日期:2022-09-20 接受日期:2022-10-07 出版日期:2022-12-08 发布日期:2022-12-08
  • 通讯作者: Jian-Dong Zhang E-mail:zhangjiandong1993@gmail.com
  • 基金资助:
    Project supported by Leading Innovative Talents in Changzhou (Grant No. CQ20210107), Shuangchuang Ph.D Award (Grant No. JSSCBS20210915), Natural Science Research of Jiangsu Higher Education Institutions of China (Grant No. 21KJB140007), and the National Natural Science Foundation of China (Grant No. 12104193).

Tolerance-enhanced SU(1,1) interferometers using asymmetric gain

Jian-Dong Zhang(张建东) and Shuai Wang(王帅)   

  1. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China
  • Received:2022-08-09 Revised:2022-09-20 Accepted:2022-10-07 Online:2022-12-08 Published:2022-12-08
  • Contact: Jian-Dong Zhang E-mail:zhangjiandong1993@gmail.com
  • Supported by:
    Project supported by Leading Innovative Talents in Changzhou (Grant No. CQ20210107), Shuangchuang Ph.D Award (Grant No. JSSCBS20210915), Natural Science Research of Jiangsu Higher Education Institutions of China (Grant No. 21KJB140007), and the National Natural Science Foundation of China (Grant No. 12104193).

摘要: SU(1,1) interferometers play an important role in quantum metrology. Previous studies focus on various inputs and detection strategies with symmetric gain. In this paper, we analyze a modified SU(1,1) interferometer using asymmetric gain. Two vacuum states are used as the input and on-off detection is performed at the output. In a lossless scenario, symmetric gain is the optimal selection and the corresponding phase sensitivity can achieve the Heisenberg limit as well as the quantum Cramer-Rao bound. In addition, we analyze the phase sensitivity with symmetric gain in the lossy scenario. The phase sensitivity is sensitive to internal losses but extremely robust against external losses. We address the optimal asymmetric gain and the results suggest that this method can improve the tolerance to internal losses. Our work may contribute to the practical development of quantum metrology.

关键词: SU(1, 1) interferometer, asymmetric gain, Heisenberg limit, quantum Cramer-Rao bound

Abstract: SU(1,1) interferometers play an important role in quantum metrology. Previous studies focus on various inputs and detection strategies with symmetric gain. In this paper, we analyze a modified SU(1,1) interferometer using asymmetric gain. Two vacuum states are used as the input and on-off detection is performed at the output. In a lossless scenario, symmetric gain is the optimal selection and the corresponding phase sensitivity can achieve the Heisenberg limit as well as the quantum Cramer-Rao bound. In addition, we analyze the phase sensitivity with symmetric gain in the lossy scenario. The phase sensitivity is sensitive to internal losses but extremely robust against external losses. We address the optimal asymmetric gain and the results suggest that this method can improve the tolerance to internal losses. Our work may contribute to the practical development of quantum metrology.

Key words: SU(1, 1) interferometer, asymmetric gain, Heisenberg limit, quantum Cramer-Rao bound

中图分类号:  (Quantum information)

  • 03.67.-a
42.50.St (Nonclassical interferometry, subwavelength lithography)