Multi-entropy in random tensor networks

The study evaluates Rényi multi-entropies in Random Tensor Network (RTN) states as bond dimension grows large. For $n=2$, multi-entropies are determined by minimal multiway cuts, generalizing bipartite entanglement descriptions to multipartite systems. However, for $n>2$, this relationship fails due to replica symmetry breaking, indicating that RTN states possess genuine multipartite entanglement.

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