k-designs achieve maximal discriminability for pure states in multi-copy minimum-error discrimination; mixed states outperform for larger ensembles, with quantum offering quadratic advantage over classical.
Hayashi, Quantum hypothesis testing and discrimination of quantum states, inQuantum Information: An Introduction(Springer Berlin Heidelberg, Berlin, Heidelberg, 2006) pp
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The most discriminable quantum states in the multicopy regime
k-designs achieve maximal discriminability for pure states in multi-copy minimum-error discrimination; mixed states outperform for larger ensembles, with quantum offering quadratic advantage over classical.