Multipartite steering inequalities based on entropic uncertainty relations

TL;DR

This paper develops entropic steering inequalities for multipartite quantum systems, enabling the detection and certification of various classes of multipartite and genuine multipartite steering through violation tests.

Contribution

It introduces novel entropic steering inequalities specifically designed for multipartite systems, advancing the ability to identify different steering classes.

Findings

Violations of inequalities certify multipartite steering.

Inequalities detect genuine multipartite steerable states.

Effective for three-qubit system states.

Abstract

We investigate quantum steering for multipartite systems by using entropic uncertainty relations. We introduce entropic steering inequalities whose violation certifies the presence of different classes of multipartite steering. These inequalities witness both steerable states and genuine multipartite steerable states. Furthermore, we study their detection power for several classes of states of a three-qubit system.