Genuine multipartite Einstein-Podolsky-Rosen steering

TL;DR

This paper introduces the concept of genuine multipartite EPR steering, extending the EPR paradox to multiple parties, and demonstrates its relevance for quantum secret sharing using inequalities for GHZ and Gaussian states.

Contribution

It defines genuine multipartite EPR steering and links it to quantum secret sharing, providing inequalities to detect this nonlocality in GHZ and Gaussian states.

Findings

Derived inequalities for multipartite EPR steering

Demonstrated steering in GHZ and Gaussian states

Linked EPR steering to quantum secret sharing

Abstract

We develop the concept of genuine N-partite Einstein-Podolsky-Rosen (EPR) steering. This nonlocality is the natural multipartite extension of the original EPR paradox. Useful properties emerge that are not guaranteed for genuine multipartite entangled states. In particular, there is a close link with the task of one-sided device-independent quantum secret sharing. We derive inequalities to demonstrate multipartite EPR steering for Greenberger-Horne-Zeilinger (GHZ) and Gaussian continuous variable (CV) states in loophole-free scenarios.