#additivity violation

Counterexamples to additivity of minimum output $p$-Rényi entropy of quantum channels for $p>3/4$ and $0\le p<1/4$

Debbie Leung, Benjamin Lovitz, Peixue Wu

The authors construct explicit finite‑dimensional quantum channels that violate additivity of the minimum output p‑Rényi entropy for all Rényi orders p > 3/4 and 0 ≤ p < 1/4, narro…