A gap between holographic and quantum mechanical extreme rays of the subadditivity cone

Abstract

We show via explicit construction that for six or more parties, there exist extreme rays of the subadditivity cone that can be realized by quantum states, but not by holographic states. This is a counterexample to a conjecture first formulated in arXiv:2204.00075, and implies the existence of deep holographic constraints that restrict the allowed patterns of independence among various subsystems beyond the universal quantum mechanical restrictions.

6 pages, 1 figure

References in corpus (5)

• The holographic entropy arrangement
• On the foundations and extremal structure of the holographic entropy cone
• A holographic inequality for $N=7$ regions
• The holographic entropy cone from marginal independence
• On the relation between the subadditivity cone and the quantum entropy cone

Cited by in corpus (5)

• Holographic Entropy Inequalities and Multipartite Entanglement
• Testing holographic entropy inequalities in 2+1 dimensions
• Properties of the contraction map for holographic entanglement entropy inequalities
• Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the $\mathsf{N}=6$ solution
• Exploring the holographic entropy cone via reinforcement learning