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.
Prodinger, An identity conjectured by La- casse via the tree function, arXiv e-prints (2013), arXiv:1301.3669 [math.CO]
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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.