The mixture-sequential quantum probability ratio test achieves optimal Type-I and worst-case Type-II error exponents in composite sequential quantum hypothesis testing, characterized by minimal measured relative entropies, with a matching converse.
Statistical decision theory for quantum systems
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Matching upper and lower bounds characterize the sample complexity of symmetric composite binary quantum hypothesis testing up to universal constants for both finite and infinite uncertainty sets.
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Optimal Error Exponents for Composite Sequential Quantum Hypothesis Testing
The mixture-sequential quantum probability ratio test achieves optimal Type-I and worst-case Type-II error exponents in composite sequential quantum hypothesis testing, characterized by minimal measured relative entropies, with a matching converse.
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Sample Complexity of Composite Quantum Hypothesis Testing
Matching upper and lower bounds characterize the sample complexity of symmetric composite binary quantum hypothesis testing up to universal constants for both finite and infinite uncertainty sets.