Using Stein's estimator to correct the bound on the entropic uncertainty principle for more than two measurements

TL;DR

This paper applies Stein's estimator to improve the bounds of the entropic uncertainty principle for multiple measurements, resulting in more accurate and optimal theoretical bounds aligned with experimental data.

Contribution

It introduces the use of Stein's estimator in entropic uncertainty relations for more than two observables, enhancing the bounds compared to traditional methods.

Findings

Improved theoretical bounds for multiple observables

Enhanced alignment with experimental data

Demonstrated superiority over ordinary estimators

Abstract

This note shows how to apply the James-Stein estimator to the case of entropic uncertainty relations of more than two observables. A better result is found compared to applying the ordinary estimator and we find a more optimal model compared with experimental data. The theoretical bounds for entropic relations for entropic relations for more than two observables are shown to be improved.