Holographic Cone of Average Entropies

Abstract

The holographic entropy cone identifies entanglement entropies of field theory regions, which are consistent with representing semiclassical spacetimes under gauge/gravity duality; it is currently known up to 5 regions. We point out that average entropies of p-partite subsystems can be similarly analyzed for arbitrarily many regions. We conjecture that the holographic cone of average entropies is simplicial and specify all its bounding inequalities. Its extreme rays combine features of bipartite and perfect tensor entanglement, and correspond to stages of unitary evaporation of old black holes.

arXiv commentv2: updated and improved explanations and interpretations of results; 5+5 pages, 8 figures

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Cited by in corpus (14)

• On the foundations and extremal structure of the holographic entropy cone
• A holographic inequality for $N=7$ regions
• Holographic Entropy Inequalities and Multipartite Entanglement
• The Symmetrized Holographic Entropy Cone
• Two infinite families of facets of the holographic entropy cone
• Testing holographic entropy inequalities in 2+1 dimensions
• Properties of the contraction map for holographic entanglement entropy inequalities
• Towards a complete classification of holographic entropy inequalities
• A framework for generalizing toric inequalities for holographic entanglement entropy
• Modular parallel transport of multiple intervals in 1+1-dimensional free fermion theory
• Beyond the Holographic Entropy Cone via Cycle Flows
• Purely GHZ-like entanglement is forbidden in holography
• On the completeness of contraction map proof method for holographic entropy inequalities
• Exploring the holographic entropy cone via reinforcement learning