Volume 81, Number 4, February 2008
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||18 January 2008|
Quantum limits in image processing
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
Accepted: 7 December 2007
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.
PACS: 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
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