English

Bit threads on hypergraphs

High Energy Physics - Theory 2020-12-16 v1

Abstract

Recent work has characterized the various inequalities that entanglement entropies represented by min-cuts on hypergraphs will satisfy. This collection, the hypergraph entropy cone, can be seen as a generalization of the holographic entropy cone which describes the entropies given by both min-cuts on 2-graphs and those of holographic states in AdS/CFT. In this article we describe a generalization of bit threads which allows us to describe max multiflows on hypergraphs. We further comment on its properties and interpretation in holography.

Keywords

Cite

@article{arxiv.2012.07872,
  title  = {Bit threads on hypergraphs},
  author = {Ning Bao and Jonathan Harper},
  journal= {arXiv preprint arXiv:2012.07872},
  year   = {2020}
}

Comments

22 pages, 11 figures

R2 v1 2026-06-23T20:58:03.568Z