Efficient Characterization of N-Beam Gaussian Fields Through Photon-Number Measurements: Quantum Universal Invariants

• URL: http://arxiv.org/abs/2506.05084v1
• Date: Thu, 05 Jun 2025 14:30:44 GMT
• Title: Efficient Characterization of N-Beam Gaussian Fields Through Photon-Number Measurements: Quantum Universal Invariants
• Authors: Nazarii Sudak, Artur Barasiński, Jan Peřina Jr., Anton\' in Černoch,
• Abstract summary: Quantum universal invariants of general N-beam Gaussian fields are investigated from the point of view of fields' intensity moments.<n>A method that uniquely links these invariants, including the global and marginal fields' purities, to intensity moments is suggested.<n> Determination of these invariants identifies the Gaussian states including their quantum correlations.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum universal invariants of general N-beam Gaussian fields are investigated from the point of view of fields' intensity moments. A method that uniquely links these invariants, including the global and marginal fields' purities, to intensity moments is suggested. Determination of these invariants identifies the Gaussian states including their quantum correlations. In particular, the Peres-Horodecki separability criterion is reformulated in terms of quantum universal invariants, and consequently in terms of experimental intensity moments, offering a practical tool for determining the entanglement or separability of these states. The approach is experimentally demonstrated by determining the invariants of noisy symmetric 3-beam Gaussian states using photon-number-resolved measurements. Furthermore, their entanglement properties are analyzed and characterized.

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