Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states

Hossein T. Dinani, Dominic W. Berry

Research output: Contribution to journalArticleResearchpeer-review

Abstract

When measuring a time-varying phase, the standard quantum limit and Heisenberg limit as usually defined, for a constant phase, do not apply. If the phase has Gaussian statistics and a power-law spectrum 1/|ω|p with p>1, then the generalized standard quantum limit and Heisenberg limit have recently been found to have scalings of 1/N(p-1)/p and 1/N2(p-1)/(p+1), respectively, where N is the mean photon flux. We show that this Heisenberg scaling can be achieved via adaptive measurements on squeezed states. We predict the experimental parameters analytically, and test them with numerical simulations. Previous work had considered the special case of p=2.

LanguageEnglish
Article number063821
Pages1-10
Number of pages10
JournalPhysical Review A
Volume95
Issue number6
DOIs
Publication statusPublished - 15 Jun 2017

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continuous spectra
scaling
statistics
photons
simulation

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Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states. / Dinani, Hossein T.; Berry, Dominic W.

In: Physical Review A, Vol. 95, No. 6, 063821, 15.06.2017, p. 1-10.

Research output: Contribution to journalArticleResearchpeer-review

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