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- Title
Fitting magnetic field gradient with Heisenberg-scaling accuracy.
- Authors
Yong-Liang Zhang; Huan Wang; Li Jing; Liang-Zhu Mu; Heng Fan
- Abstract
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 Cramér-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.
- Subjects
MAGNETIC fields; HEISENBERG model; LEAST squares; QUANTUM theory; ACCURACY
- Publication
Scientific Reports, 2014, p1
- ISSN
2045-2322
- Publication type
Article
- DOI
10.1038/srep07390