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Two infinite families of facets of the holographic entropy cone

by Bartlomiej Czech, Yu Liu, Bo Yu

Submission summary

Authors (as registered SciPost users): Bartek Czech
Submission information
Preprint Link:  (pdf)
Date submitted: 2024-01-26 06:41
Submitted by: Czech, Bartek
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Quantum Physics
Approach: Theoretical


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.

Current status:
In refereeing

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Bartek Czech  on 2024-01-31  [id 4296]

After submitting the paper, we discovered a few typos and one notational issue. They are fixed in v2 on the arXiv.