Topological Link Models of Multipartite Entanglement

• URL: http://arxiv.org/abs/2109.01150v2
• Date: Wed, 15 Jun 2022 23:27:38 GMT
• Title: Topological Link Models of Multipartite Entanglement
• Authors: Ning Bao, Newton Cheng, Sergio Hern\'andez-Cuenca, Vincent Paul Su
• Abstract summary: We show that there exist link representations of entropy vectors which provably cannot be represented by graphs or hypergraphs. 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.
• Score: 0.20999222360659606
• License: http://creativecommons.org/licenses/by/4.0/
• 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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