Divya Patel

Constructing hypergraph models for 5 and 6 party entropy vectors

Based on joint work with Max Rota on the hypergraph entropy cone for N=5 and N=6 parties. The quantum entropy cone describes the entropy vectors realisable by a density matrix for a state with N subsystems. A complete description of the quantum entropy cone for N greater than 3 is not known, and whether the cone is polyhedral for arbitrary N is an open question. There are, however, subsets corresponding to particular types of quantum states which have been studied in greater detail. The focus of the talk will be on two of these subsets – the holographic and hypergraph entropy cones. More specifically, I will discuss the techniques we’ve developed to construct and search for hypergraph models and how this could provide a basis for a more general search strategy for higher N.