SciPost Submission Page
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: | https://arxiv.org/abs/2401.13029v1 (pdf) |
| Date submitted: | 2024-01-26 06:41 |
| Submitted by: | Czech, Bartek |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Theoretical |
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.
Current status:
In refereeing
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.