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Quantum limits in image processing

Vincent Delaubert·Nicolas Treps·Claude Fabre·Hans A. Bachor·Philippe Réfrégier
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Abstract

We determine the bound to the maximum achievable sensitivity in the estimation of a scalar parameter from the information contained in an optical image in the presence of quantum noise. This limit, based on the Cramer-Rao bound, is valid for any image processing protocol. It is calculated both in the case of a shot noise limited image and of a non-classical illumination. We also give practical experimental implementations allowing us to reach this absolute limit.

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Vincent Delaubert, Nicolas Treps, Claude Fabre, Hans A. Bachor, Philippe Réfrégier. 2006-09-25. Quantum limits in image processing. https://arxiv.org/abs/quant-ph/0609188

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