Multipartite entanglement spreads
The research defines entanglement spread as a difference between Rényi entanglement entropies to classify multipartite quantum states. It proves that Hypergraph-Tensor (HT) states are uniquely identified by minimizing these spreads, connecting them to bipartite flat states. The work uses graph theory and asymptotic analysis in large dimensions ($N$) to characterize these complex quantum structures.