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Ultimate sensitivity in precision optical measurements using intense Gaussian quantum light: a multi-modal approach

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Abstract

Optical techniques are widely used in many areas of science and technology to make accurate measurements and diagnostics, from microscopy, spectroscopy, chemical analysis, to gravitational wave detection and ranging. There are many reasons for this: light allows us to extract information in a remote and non-destructive way, it carries information in a massively parallel way, and perhaps more importantly, optical measurements can reach very high precision and sensitivity levels. It is therefore important to know what is the ultimate limit of sensitivity that can be possibly achieved in the estimation of a physical parameter p that is encoded in a light beam of fixed mean photon number N. This limit is imposed by the unavoidable quantum fluctuations of light and depends on the quantum state of light that conveys the information about p. When the light is in a coherent state, this limit is called ‘standard quantum limit’ and scales as 1/N1/2.

© 2012 Optical Society of America

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