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Weak value amplification (WVA) is a metrological protocol that amplifiesultra-small physical effects. However, the amplified outcomes necessarily occurwith highly suppressed probabilities, leading to the extensive debate onwhether the overall measurement precision is improved in comparison to that ofconventional measurement (CM). Here, we experimentally demonstrate theunambiguous advantages of WVA that overcome practical limitations includingnoise and saturation of photo-detection and maintain a shot-noise-scalingprecision for a large range of input light intensity well beyond the dynamicrange of the photodetector. The precision achieved by WVA is six times higherthan that of CM in our setup. Our results clear the way for the widespread useof WVA in applications involving the measurement of small signals includingprecision metrology and commercial sensors.

Approaching quantum-limited metrology with imperfect detectors by using weak-value amplification