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

doi:10.1088/1674-1056/23/11/110601

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.

Keywords: precision of phase estimation quantum fisher information weak measurement quantum measurement reversal

Received: 06 March 2014
Revised: 10 May 2014
Accepted manuscript online:

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

Fund: 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.

Corresponding Authors: He Zhi
E-mail: hz9209@126.com

Cite this article:

He Zhi (贺志), Yao Chun-Mei (姚春梅) Enhancing the precision of phase estimation by weak measurement and quantum measurement reversal 2014 Chin. Phys. B 23 110601

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

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