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For questions about geometrical features of the set of quantum states.
11
votes
Accepted
Is the set of all states with negative conditional Von Neumann entropy convex?
The conditional von Neumann entropy is a concave function: if $\rho$ and $\sigma$ are states of a pair of registers $(\mathsf{X},\mathsf{Y})$ and $\lambda\in[0,1]$ is a real number, then
$$
\mathrm{H} …