Optimal universal distillation rates for quantum resources are achieved without any knowledge of the input state via a composite extension of the generalised quantum Stein's lemma.
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For composite quantum hypothesis testing with a mixed IID null hypothesis, the optimal type-II error exponent is the worst-case component when type-I error vanishes, but not for fixed nonzero type-I error.
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Universal quantum resource distillation via composite generalised quantum Stein's lemma
Optimal universal distillation rates for quantum resources are achieved without any knowledge of the input state via a composite extension of the generalised quantum Stein's lemma.
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Generalized quantum Stein's lemma for mixed sources
For composite quantum hypothesis testing with a mixed IID null hypothesis, the optimal type-II error exponent is the worst-case component when type-I error vanishes, but not for fixed nonzero type-I error.