Photon-starved polarimetry via functional classical shadows
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915510575169536 |
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| author | Rosati, Matteo Parisi, Miranda Sansoni, Linda Stefanutti, Eleonora Chiuri, Andrea Barbieri, Marco |
| author_facet | Rosati, Matteo Parisi, Miranda Sansoni, Linda Stefanutti, Eleonora Chiuri, Andrea Barbieri, Marco |
| contents | Polarimetry and optical imaging techniques face challenges in photon-starved scenarios, where the low number of detected photons imposes a trade-off between image resolution, integration time, and sample sensitivity. Here we introduce a quantum-inspired method, functional classical shadows, for reconstructing a polarization profile in the low photon-flux regime. Our method harnesses correlations between neighbouring datapoints, based on the recent realisation that machine learning can estimate multiple physical quantities from a small number of non-identical samples. This is applied to the experimental reconstruction of polarization as a function of the wavelength. Although the quantum formalism helps structuring the problem, our approach suits arbitrary intensity regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19547 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Photon-starved polarimetry via functional classical shadows Rosati, Matteo Parisi, Miranda Sansoni, Linda Stefanutti, Eleonora Chiuri, Andrea Barbieri, Marco Quantum Physics Optics Polarimetry and optical imaging techniques face challenges in photon-starved scenarios, where the low number of detected photons imposes a trade-off between image resolution, integration time, and sample sensitivity. Here we introduce a quantum-inspired method, functional classical shadows, for reconstructing a polarization profile in the low photon-flux regime. Our method harnesses correlations between neighbouring datapoints, based on the recent realisation that machine learning can estimate multiple physical quantities from a small number of non-identical samples. This is applied to the experimental reconstruction of polarization as a function of the wavelength. Although the quantum formalism helps structuring the problem, our approach suits arbitrary intensity regimes. |
| title | Photon-starved polarimetry via functional classical shadows |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2509.19547 |