Adaptive tracking of a time-varying field with a quantum sensor

Cristian Bonato, Dominic W. Berry

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Sensors based on single spins can enable magnetic-field detection with very high sensitivity and spatial resolution. Previous work has concentrated on sensing of a constant magnetic field or a periodic signal. Here, we instead investigate the problem of estimating a field with nonperiodic variation described by a Wiener process. We propose and study, by numerical simulations, an adaptive tracking protocol based on Bayesian estimation. The tracking protocol updates the probability distribution for the magnetic field based on measurement outcomes and adapts the choice of sensing time and phase in real time. By taking the statistical properties of the signal into account, our protocol strongly reduces the required measurement time. This leads to a reduction of the error in the estimation of a time-varying signal by up to a factor of four compare with protocols that do not take this information into account.

LanguageEnglish
Article number052348
Pages1-10
Number of pages10
JournalPhysical Review A
Volume95
Issue number5
DOIs
Publication statusPublished - 30 May 2017

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sensors
magnetic fields
estimating
spatial resolution
time measurement
sensitivity
simulation

Bibliographical note

C. Bonato and D. W. Berry, Phys. Rev. A, 95, 052348, 2017. Copyright 2017 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevA.95.052348.

Cite this

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abstract = "Sensors based on single spins can enable magnetic-field detection with very high sensitivity and spatial resolution. Previous work has concentrated on sensing of a constant magnetic field or a periodic signal. Here, we instead investigate the problem of estimating a field with nonperiodic variation described by a Wiener process. We propose and study, by numerical simulations, an adaptive tracking protocol based on Bayesian estimation. The tracking protocol updates the probability distribution for the magnetic field based on measurement outcomes and adapts the choice of sensing time and phase in real time. By taking the statistical properties of the signal into account, our protocol strongly reduces the required measurement time. This leads to a reduction of the error in the estimation of a time-varying signal by up to a factor of four compare with protocols that do not take this information into account.",
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Adaptive tracking of a time-varying field with a quantum sensor. / Bonato, Cristian; Berry, Dominic W.

In: Physical Review A, Vol. 95, No. 5, 052348, 30.05.2017, p. 1-10.

Research output: Contribution to journalArticleResearchpeer-review

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