Deterministic phase measurements exhibiting super-sensitivity and super-resolution
Clemens Sch\"afermeier, Miroslav Je\v{z}ek, Lars S. Madsen, Tobias, Gehring, Ulrik L. Andersen

TL;DR
This paper demonstrates a deterministic method using Gaussian states and homodyne detection to achieve both super-sensitivity and super-resolution in phase measurements, surpassing quantum noise limits with a simple setup.
Contribution
It introduces a fully deterministic approach combining Gaussian states and homodyne measurement for simultaneous super-sensitivity and super-resolution in phase estimation.
Findings
22-fold improvement in phase resolution
1.7-fold enhancement in sensitivity
Deterministic implementation with Gaussian states
Abstract
Phase super-sensitivity is obtained when the sensitivity in a phase measurement goes beyond the quantum shot noise limit, whereas super-resolution is obtained when the interference fringes in an interferometer are narrower than half the input wavelength. Here we show experimentally that these two features can be simultaneously achieved using a relatively simple setup based on Gaussian states and homodyne measurement. Using 430 photons shared between a coherent- and a squeezed vacuum state, we demonstrate a 22-fold improvement in the phase resolution while we observe a 1.7-fold improvement in the sensitivity. In contrast to previous demonstrations of super-resolution and super-sensitivity, this approach is fully deterministic.
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