Optimal parameter estimation of open quantum systems

doi:10.1088/1674-1056/abc0d1

Abstract In quantum information technologies, quantum weak measurement is beneficial for protecting coherence of systems. In order to further improve the protection effect of quantum weak measurement on coherence, we propose an optimization scheme of quantum Fisher information (QFI) protection in an open quantum system by combing no-knowledge quantum feedback control with quantum weak measurement. On the basis of solving the dynamic equations of a stochastic two-level quantum system under feedback control, we compare the effects of different feedback Hamiltonians on QFI and find that via no-knowledge quantum feedback, the observation operator σ _x (or σ _x and σ _z ) can protect QFI for a long time. Namely, no-knowledge quantum feedback can improve the estimation precision of feedback coefficient as well as that of detection coefficient.

Keywords: no-knowledge quantum feedback real-time parameters estimation quantum Fisher information (QFI) open quantum system

Received: 21 April 2020
Revised: 26 August 2020
Accepted manuscript online: 14 October 2020

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Ud	(Entanglement and quantum nonlocality)
	42.50.Pq	(Cavity quantum electrodynamics; micromasers)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61663016 and 11264015).

Corresponding Authors: ^†Corresponding author. E-mail: jyh2006@jxnu.edu.cn

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Yinghua Ji(嵇英华), Qiang Ke(柯强), and Juju Hu(胡菊菊) Optimal parameter estimation of open quantum systems 2020 Chin. Phys. B 29 120303

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