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20192024
most citedThe Holographic Entropy Cone for Five Regions

75 citations · 286 across the 16 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

quant-ph2021★ 23 cited

The Symmetrized Holographic Entropy Cone

Matteo Fadel, Sergio Hernández-Cuenca

The holographic entropy cone (HEC) characterizes the entanglement structure of quantum states which admit geometric bulk duals in holography. Due to its intrinsic complexity, to da…

hep-th2021★ 32 cited

Quantum Extremal Surfaces and the Holographic Entropy Cone

Chris Akers, Sergio Hernández-Cuenca, Pratik Rath

Quantum states with geometric duals are known to satisfy a stricter set of entropy inequalities than those obeyed by general quantum systems. The set of allowed entropies derived u…

quant-ph2021★ 15 cited

Topological Link Models of Multipartite Entanglement

Ning Bao, Newton Cheng, Sergio Hernández-Cuenca +1

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 rep…

gr-qc2021

Conformal Rigidity from Focusing

Åsmund Folkestad, Sergio Hernández-Cuenca

The null curvature condition (NCC) is the requirement that the Ricci curvature of a Lorentzian manifold be nonnegative along null directions, which ensures the focusing of null geo…

hep-th2021★ 4 cited

Boundary Causality Violating Metrics in Holography

Sergio Hernández-Cuenca, Gary T. Horowitz, Gabriel Treviño +1

Even for holographic theories that obey boundary causality, the full bulk Lorentzian path integral includes metrics that violate this condition. This leads to the following puzzle:…

math.CO2021★ 27 cited

On the foundations and extremal structure of the holographic entropy cone

David Avis, Sergio Hernández-Cuenca

The holographic entropy cone (HEC) is a polyhedral cone first introduced in the study of a class of quantum entropy inequalities. It admits a graph-theoretic description in terms o…