Multipartite entanglement detection from correlation tensors

TL;DR

This paper presents a versatile framework for detecting genuine multipartite entanglement in quantum systems of any dimension using correlation tensors, with advantages in higher-dimensional and bound entangled states, and feasible experimental implementation.

Contribution

It introduces a novel, general method for entanglement detection that outperforms previous approaches in higher dimensions and for complex entangled states, including bound entanglement.

Findings

Effective detection of genuine multipartite entanglement in higher-dimensional systems.

Ability to identify fully bound entangled states.

Proposed experimentally feasible measurement strategies.

Abstract

We introduce a general framework for detecting genuine multipartite entanglement and non full-separability in multipartite quantum systems of arbitrary dimensions based on correlation tensors. Regarding genuine multipartite entanglement our conditions are comparable to previous approaches in the case of qubits while they show particular strength in the relatively unexplored case of higher dimensional systems. In the case of non-full separability our conditions prove to be advantageous in situations where more than two-body correlations are relevant, where most previous conditions turned out to be weak. Moreover, they allow for the detection of fully bound entangled states. Finally, we also discuss experimentally-friendly ways of implementing our conditions, which are based on directly measurable quantities.