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

Understand

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.