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Squeezed light enables measurements with sensitivity beyond the quantum noiselimit (QNL) for optical techniques such as spectroscopy, gravitational wavedetection, magnetometry and imaging. Precision of a measurement -- asquantified by the variance of repeated estimates -- has also been enhancedbeyond the QNL using squeezed light. However, sub-QNL sensitivity is notsufficient to achieve sub-QNL precision. Furthermore, demonstrations of sub-QNLprecision in estimating transmission have been limited to picowatts of probepower. Here we demonstrate simultaneous enhancement of precision andsensitivity to beyond the QNL for estimating modulated transmission with asqueezed amplitude probe of 0.2 mW average (25 W peak) power, which is 8 ordersof magnitude above the power limitations of previous sub-QNL precisionmeasurements of transmission. Our approach enables measurements that competewith the optical powers of current classical techniques, but have both improvedprecision and sensitivity beyond the classical limit.

Quantum Enhanced Precision Estimation of Transmission with Bright Squeezed Light