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arXiv · 2109.01150

Topological Link Models of Multipartite Entanglement

Ning Bao·Newton Cheng·Sergio Hernández-Cuenca·Vincent Paul Su
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Abstract

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.

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Ning Bao, Newton Cheng, Sergio Hernández-Cuenca, Vincent Paul Su. 2021-09-02. Topological Link Models of Multipartite Entanglement. https://doi.org/10.22331/q-2022-06-20-741

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