论文标题

超图上的位线

Bit threads on hypergraphs

论文作者

Bao, Ning, Harper, Jonathan

论文摘要

最近的工作表征了各种不平等现象,这些不平等现象以较小的刺激为代表的超图表将满足。该系列的HyperGraph Entropy锥可将其视为全息熵锥的概括,该熵描述了两种刻度在2颗粒上给出的熵,而ADS/CFT中的全息态的熵。在本文中,我们描述了位线程的概括,该螺纹使我们能够描述超图上的最大多量。我们进一步评论其在全息图中的特性和解释。

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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