The holographic entropy cone from marginal independence

A bstract The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of boundary spacetime CFT in any state describing classical bulk geometry. We argue that cone, an arbitrary number parties, can be reconstructed from more fundamental data determined solely by subadditivity quantum entropy. formulate certain conjectures about graph models entanglement, which we provide strong evidence, and rigorously prove they all imply such reconstruction is possible. Our (except only weakest) further necessary remarkably simple. In essence, one needs to know reconstruct subset extreme rays this simpler “subadditivity cone”, namely those realized holography. This recasting bewildering structure geometric states into primal building blocks paves way distilling essence holography emergence spacetime.