Adaptive phase estimation with two-mode squeezed vacuum and parity measurement

Zixin Huang, Keith R. Motes, Petr M. Anisimov, Jonathan P. Dowling, Dominic W. Berry

Research output: Contribution to journalArticleResearchpeer-review

Abstract

A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cramér-Rao sensitivity is sub-Heisenberg [P. M. Anisimov et al., Phys. Rev. Lett. 104, 103602 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.103602]. However, these measurements are problematic, making it unclear if this sensitivity can be obtained with a finite number of measurements. This sensitivity is only for a phase near zero, and in this region there is a problem with ambiguity because measurements cannot distinguish the sign of the phase. Here, we consider a finite number of parity measurements and show that an adaptive technique gives a highly accurate phase estimate regardless of the phase. We show that the Heisenberg limit is reachable, where the number of trials needed for mean photon number n̄ = 1 is approximately 100. We show that the Cramér-Rao sensitivity can be achieved approximately, and the estimation is unambiguous in the interval (-π/2,π/2).  

LanguageEnglish
Article number053837
Pages1-8
Number of pages8
JournalPhysical Review A
Volume95
Issue number5
DOIs
Publication statusPublished - 12 May 2017

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parity
vacuum
sensitivity
Mach-Zehnder interferometers
ambiguity
intervals
output
photons
estimates

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Huang, Zixin ; Motes, Keith R. ; Anisimov, Petr M. ; Dowling, Jonathan P. ; Berry, Dominic W. / Adaptive phase estimation with two-mode squeezed vacuum and parity measurement. In: Physical Review A. 2017 ; Vol. 95, No. 5. pp. 1-8.
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abstract = "A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cram{\'e}r-Rao sensitivity is sub-Heisenberg [P. M. Anisimov et al., Phys. Rev. Lett. 104, 103602 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.103602]. However, these measurements are problematic, making it unclear if this sensitivity can be obtained with a finite number of measurements. This sensitivity is only for a phase near zero, and in this region there is a problem with ambiguity because measurements cannot distinguish the sign of the phase. Here, we consider a finite number of parity measurements and show that an adaptive technique gives a highly accurate phase estimate regardless of the phase. We show that the Heisenberg limit is reachable, where the number of trials needed for mean photon number n̄ = 1 is approximately 100. We show that the Cram{\'e}r-Rao sensitivity can be achieved approximately, and the estimation is unambiguous in the interval (-π/2,π/2).  ",
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Adaptive phase estimation with two-mode squeezed vacuum and parity measurement. / Huang, Zixin; Motes, Keith R.; Anisimov, Petr M.; Dowling, Jonathan P.; Berry, Dominic W.

In: Physical Review A, Vol. 95, No. 5, 053837, 12.05.2017, p. 1-8.

Research output: Contribution to journalArticleResearchpeer-review

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