Device-independent detection of genuine multipartite entanglement for all pure states

TL;DR

This paper presents a device-independent method to detect genuine multipartite entanglement in all pure states using bipartite Bell inequalities, applicable to states relevant in quantum computing and condensed matter physics.

Contribution

It introduces a universal scheme for detecting multipartite entanglement in pure states via local operations and bipartite Bell inequalities, applicable to large classes of states.

Findings

Detection scheme works for all pure states in arbitrary finite dimensions.

Efficient detection for cluster states with linear overhead.

Robustness against experimental imperfections.

Abstract

We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated from the initial state via local operations. This leads to an efficient scheme for large classes of multipartite states that are relevant in quantum computation or condensed-matter physics, including cluster states and the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model. For cluster states the detection of genuine multipartite entanglement involves only measurements on a constant number of systems with an overhead that scales linear with the system size, while for the AKLT model the overhead is polynomial. In all cases our approach shows robustness against experimental imperfections.