Optimal Moment-based Characterization of a Gaussian State

• URL: http://arxiv.org/abs/2503.14188v1
• Date: Tue, 18 Mar 2025 12:02:01 GMT
• Title: Optimal Moment-based Characterization of a Gaussian State
• Authors: Niels Tripier-Mondancin, Ilya Karuseichyk, Mattia Walschaers, Valentina Parigi, Nicolas Treps,
• Abstract summary: We apply a multi- parameter moment-based estimation method to determination of squeezing, antisqueezing, and the squeezing angle of the squeezed vacuum state.<n>Our method achieves faster parameter estimation with reduced uncertainty, reaching the Cram'er-Rao bound.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Fast and precise characterization of Gaussian states is crucial for their effective use in quantum technologies. In this work, we apply a multi-parameter 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 Cram\'er-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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