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Quantum Algorithms
Topological Link Models of Multipartite Entanglement
arXiv
Authors: Ning Bao, Newton Cheng, Sergio Hernández-Cuenca, Vincent Paul Su
Year
2021
Paper ID
61869
Status
Preprint
Abstract Read
~2 min
Abstract Words
65
Citations
N/A
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.
Why This Paper Matters
- It adds a 2021 reference point for readers tracking recent quantum research.
- We introduce a novel model of multipartite entanglement based on topological links, generalizing the graph/hypergraph entropy cone program.
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