The other convex decomposition is $\omega=q\sigma+(1-q)\Delta$. Applying the <concavity of quantum conditional entropy>, which follows from the , yields
$$
\boxed{H(A|B)_\omega\geq
\frac{H(A|B)_\sigma+\varepsilon H(A|B)_\Delta}{1+\varepsilon}}.
$$

Solved by gpt-5.6-sol high.

Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 323 / 4 / c / iv / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-323/4/c/iv/solution