Fig. 4

Computing entanglement on both inner-layer and coupling edges. a Note that in contrast to the example in Fig. 3, we have added a loop to node \(p_5\) in layer \(L_3\) (in red) and a coupling edge connecting nodes \(p_3\) of layer \(L_2\) to \(p_5\) in \(L_3\). b Computing the corresponding LIN and entanglement measures. We can notice that the most intertwined transition coupling displays the highest entanglement index. Because there is limited overlap between elementary layer edges and transition coupling edges, entanglement intensity I is rather low