Quantum limits in image processing

Abstract

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