Experimental investigation of the entanglement-assisted entropic uncertainty principle

TL;DR

This paper experimentally tests an entanglement-assisted entropic uncertainty principle using optical setups, demonstrating near-zero uncertainty with high entanglement and exploring its implications for quantum entanglement and observer dependence.

Contribution

It provides the first experimental verification of the entanglement-assisted entropic uncertainty principle in an optical system, highlighting its potential for entanglement witnessing.

Findings

Uncertainty approaches zero with quasi-maximal entanglement.

The relation can be used to witness entanglement.

Uncertainty is shown to be observer-dependent.

Abstract

The uncertainty principle, which bounds the uncertainties involved in obtaining precise outcomes for two complementary variables defining a quantum particle, is a crucial aspect in quantum mechanics. Recently, the uncertainty principle in terms of entropy has been extended to the case involving quantum entanglement. With previously obtained quantum information for the particle of interest, the outcomes of both non-commuting observables can be predicted precisely, which greatly generalises the uncertainty relation. Here, we experimentally investigated the entanglement-assisted entropic uncertainty principle for an entirely optical setup. The uncertainty is shown to be near zero in the presence of quasi-maximal entanglement. The new uncertainty relation is further used to witness entanglement. The verified entropic uncertainty relation provides an intriguing perspective in that it implies the uncertainty principle is not only observable-dependent but is also observer-dependent.