Anti-degradable channels have a strong converse for private capacity off the boundary curve in the error-privacy plane, and a pretty strong converse for quantum capacity whenever the error is below 1/sqrt(2).
Workshop on Information Theory and Related Fields: In Memory of Ning Cai
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On Strong Converse Bounds for the Private and Quantum Capacities of Anti-degradable Channels
Anti-degradable channels have a strong converse for private capacity off the boundary curve in the error-privacy plane, and a pretty strong converse for quantum capacity whenever the error is below 1/sqrt(2).