摘要
Is bipartite entanglement sufficient for holography? Through the analysis of the Markov gap, it is known that the answer is no. In this paper, we give a new perspective on this issue from a different angle using a multi-entropy. We define a genuine$\mathtt{q}$ -partite multi-entropy from a$\mathtt{q}$ -partite multi-entropy by subtracting appropriate linear combinations of$\mathtt{\tilde{q}}$ -partite multi-entropies for$\mathtt{\tilde{q}} < \mathtt{q}$ , in such a way that the genuine$\mathtt{q}$ -partite multi-entropy vanishes for all$\mathtt{\tilde{q}}$ -partite entangled states. After studying several aspects, we apply it to black holes and holography. For the application to black holes, we see that such a genuine$\mathtt{q}$ -partite multi-entropy is important only after the Page time. For the application to holography, we prove that non-bipartite multi-entropies are always positive and$\mathcal{O}\left({1/ G_N}\right)$ , as long as boundary subregions are connected. This indicates that for holography, genuine multi-partite entanglement is not small and plays an important role.