Quantum limits in image processingV. Delaubert1, 2, N. Treps1, C. Fabre1, H. A. Bachor2 and P. Réfrégier3
1 Laboratoire Kastler Brossel, Université Pierre et Marie Curie-Paris 6, École Normale Supérieure, CNRS, CC74 4 Place Jussieu, 75252 Paris cedex 05, France
2 ARC Centre of Excellence for Quantum-Atom Optics, Australian National University Canberra, ACT 0200, Australia
3 Physics and Image processing group, Fresnel Institute, UMR 6133, Domaine Universitaire de Saint-Jérôme 13397 Marseille cedex 20, France
received 26 October 2007; accepted in final form 7 December 2007; published February 2008
published online 18 January 2008
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.
42.50.Dv - Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements.
42.30.-d - Imaging and optical processing.
42.50.Lc - Quantum fluctuations, quantum noise, and quantum jumps.
© EPLA 2008