Concavity of quantum conditional entropy

For bipartite density operators,

H (A ∣ B)_{pρ + (1 - p) σ} \geq p H (A ∣ B)_{ρ} + (1 - p) H (A ∣ B)_{σ} .

This is a consequence of Strong subadditivity of Von Neumann entropy.

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Continuity bound for quantum conditional entropy
Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 323 / 4 / c / iv / Solution

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