Determining lower bounds on a measure of multipartite entanglement from few local observables

Understand

We introduce a method to lower bound an entropy-based measure of genuine multipartite entanglement via nonlinear entanglement witnesses.

• We show that some of these bounds are tight and explicitly work out their connection to a framework of nonlinear witnesses that were published recently.
• Furthermore we provide a detailed analysis of these lower bounds in the context of other possible bounds and measures.
• In exemplary cases we show that only a few local measurements are necessary to determine these lower bounds.