Experimental investigation of multi-observable uncertainty relations

TL;DR

This paper experimentally verifies seven multi-observable quantum uncertainty relations using single-photon measurements, confirming their validity and comparing the effectiveness of different lower bounds.

Contribution

It provides the first experimental validation of multiple multi-observable uncertainty relations and analyzes their relative stringency.

Findings

Seven uncertainty relations verified experimentally.

Confirmed the validity of various lower bounds.

Compared the effectiveness of different uncertainty bounds.

Abstract

The uncertainty relation is a distinguishing feature of quantum theory, characterizing the incompatibility of noncommuting observables in the preparation of quantum states. Recently, many uncertainty relations were proposed with improved lower bounds and were deemed capable of incorporating multiple observables. Here we report an experimental verification of seven uncertainty relations of this type with single-photon measurements. The results, while confirming these uncertainty relations, show as well the relative stringency of various uncertainty lower bounds.