Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry

Geremia, J. M., Stockton, John K., Doherty, Andrew C. and Mabuchi, Hideo (2003) Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry. Physical Review Letters, 91 25: 250801-1-250801-4. doi:10.1103/PhysRevLett.91.250801

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Author Geremia, J. M.
Stockton, John K.
Doherty, Andrew C.
Mabuchi, Hideo
Title Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2003-12-19
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.91.250801
Open Access Status File (Publisher version)
Volume 91
Issue 25
Start page 250801-1
End page 250801-4
Total pages 4
Place of publication College Park, Maryland, U.S.A.
Publisher American Physical Society
Language eng
Subject C1
0105 Mathematical Physics
0206 Quantum Physics
Abstract The shot-noise detection limit in current high-precision magnetometry [I. Kominis, T. Kornack, J. Allred, and M. Romalis, Nature (London) 422, 596 (2003)] is a manifestation of quantum fluctuations that scale as rootN in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [V. Belavkin, Rep. Math. Phys. 43, 405 (1999)] to surpass this conventional limit by exploiting conditional spin squeezing to achieve 1/N field sensitivity. Our analysis demonstrates the importance of optimal estimation for high bandwidth precision magnetometry at the Heisenberg limit and also identifies an approximate estimator based on linear regression.
Keyword Physics, Multidisciplinary
Nondemolition Measurement
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 72 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 19 Sep 2007, 17:31:38 EST