Work

Two infinite families of facets of the holographic entropy cone

Year: 2024
Type: article
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.
Institution: Tsinghua University
Language: English
Open Access status: diamond
OpenAlex ID: W4402644534
FWCI: 1.079
Cites: 31
Cited by: 15
Related to: 10