›› 2014, Vol. 23 ›› Issue (11): 110601-110601.doi: 10.1088/1674-1056/23/11/110601

• GENERAL • 上一篇    下一篇

Enhancing the precision of phase estimation by weak measurement and quantum measurement reversal

贺志, 姚春梅   

  1. College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
  • 收稿日期:2014-03-06 修回日期:2014-05-10 出版日期:2014-11-15 发布日期:2014-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grants No. 11247294), the Research Foundation of Education Bureau of Hunan Province, China (Grant No. 12C0826), the Doctor Foundation Startup from Hunan University of Arts and Science, China (Grant No. 13101039), the Key Laboratory of Photoelectricity Information Integration and Optics Manufacture Technology in Hunan Province, China, and the Construct Program of the Key Discipline in Hunan University of Arts and Science (Optics), China.

Enhancing the precision of phase estimation by weak measurement and quantum measurement reversal

He Zhi (贺志), Yao Chun-Mei (姚春梅)   

  1. College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
  • Received:2014-03-06 Revised:2014-05-10 Online:2014-11-15 Published:2014-11-15
  • Contact: He Zhi E-mail:hz9209@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grants No. 11247294), the Research Foundation of Education Bureau of Hunan Province, China (Grant No. 12C0826), the Doctor Foundation Startup from Hunan University of Arts and Science, China (Grant No. 13101039), the Key Laboratory of Photoelectricity Information Integration and Optics Manufacture Technology in Hunan Province, China, and the Construct Program of the Key Discipline in Hunan University of Arts and Science (Optics), China.

摘要: The enhancement of the precision of phase estimation in quantum metrology is investigated by employing weak measurement (WM) and quantum measurement reversal (QMR). We derive the exact expressions of the optimal quantum Fisher information (QFI) and success probability of phase estimation for an exactly solving model consisting of a qubit interacting with a structured reservoir. We show that the QFI can be obviously enhanced by means of the WM and QMR in different regimes. In addition, we also show that the magnitude of the decoherence involved in the WM and QMR can be a general complex number, which extends the applicable scope of the WM and QMR approach.

关键词: precision of phase estimation, quantum fisher information, weak measurement, quantum measurement reversal

Abstract: The enhancement of the precision of phase estimation in quantum metrology is investigated by employing weak measurement (WM) and quantum measurement reversal (QMR). We derive the exact expressions of the optimal quantum Fisher information (QFI) and success probability of phase estimation for an exactly solving model consisting of a qubit interacting with a structured reservoir. We show that the QFI can be obviously enhanced by means of the WM and QMR in different regimes. In addition, we also show that the magnitude of the decoherence involved in the WM and QMR can be a general complex number, which extends the applicable scope of the WM and QMR approach.

Key words: precision of phase estimation, quantum fisher information, weak measurement, quantum measurement reversal

中图分类号:  (Metrology)

  • 06.20.-f
42.25.Hz (Interference) 42.50.Dv (Quantum state engineering and measurements)