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arXiv · 2012.07872

Bit threads on hypergraphs

Ning Bao·Jonathan Harper
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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.

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Ning Bao, Jonathan Harper. 2020-12-14. Bit threads on hypergraphs. https://arxiv.org/abs/2012.07872

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