Experimental certification of steering criterion based on general entropic uncertainty relation

TL;DR

This paper experimentally verifies a steering criterion based on entropic uncertainty relations using two-photon Werner-like states, demonstrating a resource-efficient method that outperforms linear criteria in detecting quantum steering.

Contribution

The study provides the first experimental validation of a steering criterion derived from general entropic uncertainty relations, eliminating the need for quantum state tomography.

Findings

Quantum steering can be verified efficiently without state tomography.

The entropic uncertainty-based criterion outperforms linear criteria.

Experimental results confirm the criterion's effectiveness with Werner-like states.

Abstract

Quantum steering describes the phenomenon that one system can be immediately influenced by another with local measurements. It can be detected by the violation of a powerful and useful steering criterion from general entropic uncertainty relation. This criterion, in principle, can be evaluated straightforwardly and achieved by only probability distributions from a finite set of measurement settings. Herein, we experimentally verify the steering criterion by means of the two-photon Werner-like states and three Pauli measurements. The results indicate that quantum steering can be verified by the criterion in a convenient way. In particular, it is no need to perform the usual quantum state tomography in experiment, which reduces the required experimental resources greatly. Moreover, we demonstrate that the criterion is stronger than the linear one for the detecting quantum steering of the Werner-like states.