Joint estimation of position and momentum with arbitrarily high precision using non-Gaussian states

• URL: http://arxiv.org/abs/2504.01910v2
• Date: Fri, 04 Apr 2025 08:24:37 GMT
• Title: Joint estimation of position and momentum with arbitrarily high precision using non-Gaussian states
• Authors: Massimo Frigerio, Matteo G. A. Paris, Carlos Ernesto Lopetegui, Mattia Walschaers,
• Abstract summary: We show that leveraging non-Gaussianity enables their simultaneous estimation with arbitrarily high precision.<n>We demonstrate that any pure non-Gaussian state provides an advantage over all Gaussian states, whether pure or mixed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We address the joint estimation of changes in the position and linear momentum of a quantum particle or, equivalently, changes in the complex field of a bosonic mode. Although these changes are generated by non-commuting operators, we show that leveraging non-Gaussianity enables their simultaneous estimation with arbitrarily high precision and arbitrarily low quantum incompatibility. Specifically, we demonstrate that any pure non-Gaussian state provides an advantage over all Gaussian states, whether pure or mixed. Moreover, properly tuned non-Gaussian mixtures of Gaussian states can also serve as a resource.

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