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Quantum limits in the measurement of very small displacements in optical images

by: C Fabre, JB Fouet, A Maître
Optics Letters, Vol. 25, No. 1. (2000), pp. 76-78.


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We consider the problem of the measurement of very small displacements in the transverse plane of an optical image with a split photodetector. We show that the standard quantum limit for such a measurement, which is equal to the diffraction limit divided by the square root of the number of photons used in the measurement, cannot be overcome by use of ordinary single-mode squeezed light. We give the form of possible multimode nonclassical states of light, enabling us to enhance by orders of magnitude the resolution of such a measurement beyond the standard quantum limit.


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