Multiparameter estimation for the superresolution of two incoherent sources

• URL: http://arxiv.org/abs/2601.14876v2
• Date: Thu, 22 Jan 2026 13:44:59 GMT
• Title: Multiparameter estimation for the superresolution of two incoherent sources
• Authors: Antonin Grateau, Alexander Boeschoten, Tanguy Favin-Lévêque, Isael Herrera, Nicolas Treps,
• Abstract summary: We experimentally demonstrate the simultaneous estimation of the three parameters characterizing a pair of incoherent optical sources in the sub-Rayleigh regime.<n>We benchmark our performance using Fisher-information-based Cramér-Rao bounds, and discuss the corresponding quantum limits.
• Score: 36.94429692322632
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We experimentally demonstrate the simultaneous estimation of the three parameters characterizing a pair of incoherent optical sources in the sub-Rayleigh regime, enabling super-resolved scene characterization. Using spatial-mode demultiplexing (SPADE) with two demultiplexers--one deliberately shifted--we determine separations well below the diffraction limit and achieve sensitive joint estimation of separation, centroid, and relative brightness over a broad range of scene configurations in a single experimental setting. We benchmark our performance using Fisher-information-based Cramér-Rao bounds, and discuss the corresponding quantum limits. We investigate two complementary scenarios: a realistic case with slightly non-identical sources, and an idealized case of indistinguishable sources.

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