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Nonconvexity of private capacity and classical environment-assisted capacity of a quantum channel

Nonconvexity of private capacity and classical environment-assisted capacity of a quantum channel

The capacity of classical channels is convex. This is not the case for the quantum capacity of a channel: The capacity of a mixture of different quantum channels exceeds the mixture of the individual capacities and thus is nonconvex. Here we show that this effect goes beyond the quantum capacity …