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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.
4 pages, two figures
Quantum Physics, [SPI.OPTI] Engineering Sciences [physics]/Optics / Photonic, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, quantum noise, FOS: Physical sciences, Imaging and optical processing, and quantum jumps, Quantum fluctuations, Nonclassical field states, Quantum Physics (quant-ph), [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph], [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
Quantum Physics, [SPI.OPTI] Engineering Sciences [physics]/Optics / Photonic, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, quantum noise, FOS: Physical sciences, Imaging and optical processing, and quantum jumps, Quantum fluctuations, Nonclassical field states, Quantum Physics (quant-ph), [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph], [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 50 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |