Quantum limits in image processing

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Published 18 January 2008 Europhysics Letters Association
, , Citation V. Delaubert et al 2008 EPL 81 44001 DOI 10.1209/0295-5075/81/44001

0295-5075/81/4/44001

Abstract

We determine the limit 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 and valid for any image processing protocol, is calculated for a shot noise limited image, for a locally squeezed light, and for a single-mode squeezed light in a well-defined "noise mode". In addition, we exhibit an image processing protocol that allows us to reach the limits in the different cases.

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10.1209/0295-5075/81/44001