Can Anomalous Amplification be Attained Without Postselection?

TL;DR

This paper introduces a joint measurement technique for parameter estimation that achieves anomalous amplification without postselection, enhancing sensitivity and robustness in precision measurements.

Contribution

It presents a novel postselection-free method for anomalous amplification using joint measurements, improving robustness and efficiency in quantum metrology.

Findings

Enhanced sensitivity in polarization rotation measurements

Amplification achieved without postselection

Improved precision over conventional balanced detection

Abstract

We present a parameter estimation technique based on performing joint measurements of a weak interaction away from the weak-value-amplification approximation. Two detectors are used to collect full statistics of the correlations between two weakly entangled degrees of freedom. Without the need of postselection, the protocol resembles the anomalous amplification of an imaginary-weak-value-like response. The amplification is induced in the difference signal of both detectors allowing robustness to different sources of technical noise, and offering in addition the advantages of balanced signals for precision metrology. All of the Fisher information about the parameter of interest is collected, and a phase controls the amplification response. We experimentally demonstrate the proposed technique by measuring polarization rotations in a linearly polarized laser pulse. The effective sensitivity and precision of a split detector is increased when compared to a conventional continuous-wave balanced detection technique.