Fundamental Quantum Limit to Waveform Estimation

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Title Fundamental Quantum Limit to Waveform Estimation
Author Tsang, Mankei; Wiseman, Howard Mark; Caves, Carlton M.
Journal Name Physical Review Letters
Year Published 2011
Place of publication United States
Publisher American Physical Society
Abstract We derive a quantum Cramér-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and atomic magnetometers. We apply the QCRB to the problem of force estimation via continuous monitoring of the position of a harmonic oscillator, in which case the QCRB takes the form of a spectral uncertainty principle. The bound on the force-estimation error can be achieved by implementing quantum noise cancellation in the experimental setup and applying smoothing to the observations.
Peer Reviewed Yes
Published Yes
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Copyright Statement Copyright 2011 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 106
Issue Number 9
Page from 090401-1
Page to 090401-4
ISSN 0031-9007
Date Accessioned 2011-09-21
Language en_US
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Information, Computation and Communication; Quantum Optics; Quantum Physics
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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