A new converse bound for quantum hypothesis testing via the Nussbaum-Szkoła mapping recovers large-, moderate-, and small-deviation regimes from one expression and approximates optimal error trade-offs at small blocklengths.
Estimate from below for large-deviation probabilities of a sum of independent random variables with finite variances
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A Converse Bound via the Nussbaum-Szko{\l}a Mapping for Quantum Hypothesis Testing
A new converse bound for quantum hypothesis testing via the Nussbaum-Szkoła mapping recovers large-, moderate-, and small-deviation regimes from one expression and approximates optimal error trade-offs at small blocklengths.