Multiparameter estimation for the superresolution of two incoherent sources
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908780521848832 |
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| author | Grateau, Antonin Boeschoten, Alexander Favin-Lévêque, Tanguy Herrera, Isael Treps, Nicolas |
| author_facet | Grateau, Antonin Boeschoten, Alexander Favin-Lévêque, Tanguy Herrera, Isael Treps, Nicolas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14876 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multiparameter estimation for the superresolution of two incoherent sources Grateau, Antonin Boeschoten, Alexander Favin-Lévêque, Tanguy Herrera, Isael Treps, Nicolas Quantum Physics 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. |
| title | Multiparameter estimation for the superresolution of two incoherent sources |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.14876 |