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Topological Link Models of Multipartite Entanglement
Quantum ( IF 6.4 ) Pub Date : 2022-06-20 , DOI: 10.22331/q-2022-06-20-741
Ning Bao, Newton Cheng, Sergio Hernández-Cuenca, Vincent Paul Su

We introduce a novel model of multipartite entanglement based on topological links, generalizing the graph/hypergraph entropy cone program. We demonstrate that there exist link representations of entropy vectors which provably cannot be represented by graphs or hypergraphs. Furthermore, we show that the contraction map proof method generalizes to the topological setting, though now requiring oracular solutions to well-known but difficult problems in knot theory.

中文翻译:

多方纠缠的拓扑链接模型

我们引入了一种基于拓扑链接的新型多方纠缠模型,推广了图/超图熵锥程序。我们证明存在熵向量的链接表示,这些表示不能用图或超图来表示。此外,我们表明,收缩图证明方法可以推广到拓扑设置,尽管现在需要神谕解决结理论中众所周知但困难的问题。
更新日期:2022-06-21
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