Symmetrizing Bregman divergences on positive definite matrices yields the arithmetic mean as canonical for forward symmetrization and the pulled-back dual arithmetic mean for reverse symmetrization, for any mirror map.
The proper formula for relative entropy and its asymptotics in quantum probability,
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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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Symmetrizing Bregman Divergence on the Cone of Positive Definite Matrices: Which Mean to Use and Why
Symmetrizing Bregman divergences on positive definite matrices yields the arithmetic mean as canonical for forward symmetrization and the pulled-back dual arithmetic mean for reverse symmetrization, for any mirror map.
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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.