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    Optimal Moment-Based Characterization of a Gaussian State

    Niels Tripier-Mondancin*, Ilya Karuseichyk*, Mattia Walschaers, Valentina Parigi, and Nicolas Treps†

    • *These authors contributed equally to this work.
    • †Contact author: nicolas.treps@lkb.upmc.fr

    Phys. Rev. Lett. 135, 110805 – Published 12 September, 2025

    DOI: https://doi.org/10.1103/1kln-n48s

    Abstract

    Fast and precise characterization of Gaussian states is crucial for their effective use in quantum technologies. In this work, we apply a multiparameter moment-based estimation method that enables rapid and accurate determination of squeezing, antisqueezing, and the squeezing angle of the squeezed vacuum state. Compared to conventional approaches, our method achieves faster parameter estimation with reduced uncertainty, reaching the Cramér-Rao bound. We validate its effectiveness using the two most common measurement schemes in continuous-variable quantum optics: homodyne detection and double homodyne detection. This rapid estimation framework is well suited for dynamically characterizing sources with time-dependent parameters, potentially enabling real-time feedback stabilization.

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