Quantum metrology with a non-Markovian qubit system

doi:10.1088/1674-1056/27/12/120301

Abstract

The dynamics of the quantum Fisher information (QFI) of phase parameter estimation in a non-Markovian dissipative qubit system is investigated within the structure of single and double Lorentzian spectra. We use the time-convolutionless method with fourth-order perturbation expansion to obtain the general forms of QFI for the qubit system in terms of a non-Markovian master equation. We find that the phase parameter estimation can be enhanced in our model within both single and double Lorentzian spectra. What is more, the detuning and spectral width are two significant factors affecting the enhancement of parameter-estimation precision.

Keywords: quantum metrology quantum Fisher information time-convolutionless parameter estimation

Received: 02 August 2018
Revised: 01 September 2018
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund:

Projects supported by the Natural Science Foundation of Guangdong Province, China (Grant No. 2015A030310354), the Science Foundation for Enhancing School with Innovation of Guangdong Ocean University (Grant Nos. GDOU2017052504 and GDOU2015050207), the Foundation of Excellent-Young-Backbone Teacher of Guangdong Ocean University (Grant No. HDYQ2017005), and the Fund of University Student Innovation and Entrepreneurship Team of Guangdong Ocean University (Grant No. CCTD201823).

Corresponding Authors: Wen-Qing Shi, Guo-Bao Xu
E-mail: swqafj@163.com;xuguobao@126.com

Cite this article:

Jiang Huang(黄江), Wen-Qing Shi(师文庆), Yu-Ping Xie(谢玉萍), Guo-Bao Xu(徐国保), Hui-Xian Wu(巫慧娴) Quantum metrology with a non-Markovian qubit system 2018 Chin. Phys. B 27 120301

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