For a rank-three qutrit-qutrit subspace, the exact PPT entanglement distillation rate is strictly below the min-Rains relative entropy, so the additive min-Rains bound is provably not tight.
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The Min-Rains Relative Entropy Is Not Tight for Exact PPT Entanglement Distillation
For a rank-three qutrit-qutrit subspace, the exact PPT entanglement distillation rate is strictly below the min-Rains relative entropy, so the additive min-Rains bound is provably not tight.