Fitting magnetic field gradient with Heisenberg-scaling accuracy

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	Fitting magnetic field gradient with Heisenberg-scaling accuracy
	Zhang, YL ; Wang, H ; Jing, L ; Mu, LZ ; Fan, H
刊名	SCIENTIFIC REPORTS
	2014
卷号	4
ISSN号	2045-2322
通讯作者	Fan, H (reprint author), Peking Univ, Sch Phys, Beijing 100871, Peoples R China.
中文摘要	The linear function is possibly the simplest and the most used relation appearing in various areas of our world. A linear relation can be generally determined by the least square linear fitting (LSLF) method using several measured quantities depending on variables. This happens for such as detecting the gradient of a magnetic field. Here, we propose a quantum fitting scheme to estimate the magnetic field gradient with N-atom spins preparing in Wstate. Our scheme combines the quantum multi-parameter estimation and the least square linear fitting method to achieve the quantum Cramer-Rao bound (QCRB). We show that the estimated quantity achieves the Heisenberg-scaling accuracy. Our scheme of quantum metrology combined with data fitting provides a new method in fast high precision measurements.
资助信息	973 Program [2010CB922904]; NFFTBS [J1103205, J1030310]; NSFC [11175248]; Chinese Academy of Sciences; Peking University
语种	英语
公开日期	2015-04-14
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/59675]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Zhang, YL,Wang, H,Jing, L,et al. Fitting magnetic field gradient with Heisenberg-scaling accuracy[J]. SCIENTIFIC REPORTS,2014,4.
APA	Zhang, YL,Wang, H,Jing, L,Mu, LZ,&Fan, H.(2014).Fitting magnetic field gradient with Heisenberg-scaling accuracy.SCIENTIFIC REPORTS,4.
MLA	Zhang, YL,et al."Fitting magnetic field gradient with Heisenberg-scaling accuracy".SCIENTIFIC REPORTS 4(2014).