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Fitting magnetic field gradient with Heisenberg-scaling accuracy.
- Source :
-
Scientific Reports . 12/12/2014, p1-5. 5p. - Publication Year :
- 2014
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAGNETIC fields
*HEISENBERG model
*LEAST squares
*QUANTUM theory
*ACCURACY
Subjects
Details
- Language :
- English
- ISSN :
- 20452322
- Database :
- Academic Search Index
- Journal :
- Scientific Reports
- Publication Type :
- Academic Journal
- Accession number :
- 100061077
- Full Text :
- https://doi.org/10.1038/srep07390