Estimation of a quantum interaction parameter using weak measurements: Theory and experiment

TL;DR

This paper explores how weak quantum measurements can be used to estimate small interaction parameters, analyzing the theoretical relationship between weak values and sensitivity, supported by experimental data.

Contribution

It provides a detailed theoretical and experimental analysis of using weak measurements for parameter estimation, highlighting the role of weak values in sensitivity control.

Findings

Weak values influence the distribution of sensitivity among postselected outcomes.

Experimental results confirm the theoretical relationship between weak values and measurement sensitivity.

The method enhances understanding of quantum measurement strategies for precise parameter estimation.

Abstract

We investigate the estimation of a small interaction parameter from the outcomes of weak quantum measurements implemented by the interaction. The relation of weak values and sensitivity is explained and the different contributions of postselected results are identified using experimental data. The results show how weak values can be used to control the distribution of input state sensitivity between different postselected outcomes.