Entanglement map · Refuted

Entanglement of formation is additive

The statement shown is false.

This conjecture is false. Shor showed it stands or falls with additivity of minimum output entropy and of the Holevo capacity, and Hastings then showed superadditivity of communication capacity with entangled inputs.

Connections

• Part of: Measures
• See also: Entanglement cost equals regularised entanglement of formation

Sources

• Equivalence of additivity questions in quantum information theory. P. W. Shor, 2003.
• Superadditivity of communication capacity using entangled inputs. M. B. Hastings, 2008.

Checked 2026-10-30.