Detection of high-dimensional genuine multi-partite entanglement of mixed states

TL;DR

This paper introduces a new, simple, and experimentally accessible framework for detecting genuine multipartite entanglement in high-dimensional mixed quantum states, outperforming previous criteria.

Contribution

The authors develop a general, stronger criterion for identifying genuine multipartite entanglement in arbitrary-dimensional mixed states, avoiding complex computations.

Findings

Criteria are stronger than previous methods.

Detection is experimentally feasible without tomography.

No optimization or eigenvalue calculations needed.

Abstract

We derive a general framework to identify genuinely multipartite entangled mixed quantum states in arbitrary-dimensional systems and show in exemplary cases that the constructed criteria are stronger than those previously known. Our criteria are simple functions of the given quantum state and detect genuine multipartite entanglement that had not been identified so far. They are experimentally accessible without quantum state tomography and are easily computable as no optimization or eigenvalue evaluation is needed.