Two infinite families of facets of the holographic entropy cone

• URL: http://arxiv.org/abs/2401.13029v4
• Date: Fri, 23 Aug 2024 06:04:00 GMT
• Title: Two infinite families of facets of the holographic entropy cone
• Authors: Bartlomiej Czech, Yu Liu, Bo Yu,
• Abstract summary: We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are symmetry facets of the holographic entropy cone. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors.
• Score: 4.851309113635069
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is technical but it offers some heuristic insight. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral symmetry acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors.

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