Interpreting holographic entropy inequalities via a quantum information ansatz

Develop an ansatz for quantum states that automatically obeys all holographic entropy inequalities while being flexible enough to describe general semiclassical states, thereby providing a quantum information interpretation of the holographic entropy cone constraints.

Background

Holographic entropy inequalities constrain multipartite entanglement in semiclassical quantum gravity states, but a direct quantum information interpretation remains elusive.

The authors call for a constructive framework that captures these constraints in a state-level ansatz, referencing previous attempts (e.g., bipartite dominance based on perfect tensors) and noting that this broader interpretation is still unresolved.

References

Interpreting those constraints in a quantum information sense, for example by giving an ansatz for the state that automatically obeys them but is flexible enough to accommodate general semiclassical states, remains an open problem.

— Combinatorial properties of holographic entropy inequalities  (2601.09987 - Grimaldi et al., 15 Jan 2026) in Section 5 (Discussion), subsubsection “Physical meaning of the HEC”