Knott, P.A., Proctor, T.J., Hayes, A.J. et al. (3 more authors) (2016) Local versus global strategies in multiparameter estimation. Physical Review A, 94. 062312 . ISSN 1050-2947
Abstract
We consider the problem of estimating multiple phases using a multi-mode interferometer. In this setting we show that while global strategies that estimate all the phases simultaneously can lead to high precision gains, the same enhancements can be obtained with local strategies where each phase is estimated individually. A key resource for the enhancement is shown to be a large particle-number variance in the probe state, and for states where the total particle number is not fixed, this can be obtained for mode-separable states and the phases can be read out with local measurements. This has important practical implications because local strategies are generally preferred to global ones for their robustness to local estimation failure, flexibility in the distribution of resources, and comparatively easier state preparation. We obtain our results by analyzing two different schemes: the first uses a set of interferometers, which can be used as a model for a network of quantum sensors, and the second looks at measuring a number of phases relative to a reference, which is concerned primarily with quantum imaging.
Metadata
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Copyright, Publisher and Additional Information: | © 2016 American Physical Society. This is an author produced version of a paper subsequently published in PHYSICAL REVIEW A. Uploaded in accordance with the publisher's self-archiving policy. | ||||
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Institution: | The University of Sheffield | ||||
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > Department of Physics and Astronomy (Sheffield) | ||||
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Depositing User: | Symplectic Sheffield | ||||
Date Deposited: | 23 Nov 2016 16:10 | ||||
Last Modified: | 18 Jul 2017 04:46 | ||||
Published Version: | https://doi.org/10.1103/PhysRevA.94.062312 | ||||
Status: | Published | ||||
Publisher: | American Physical Society | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1103/PhysRevA.94.062312 |