The reverse sandwiched Renyi divergence for alpha in (0,1) exactly equals the optimal Hoeffding exponent for discriminating a thermal equilibrium state from a probe with unknown dephasing in the energy basis.
Lami, A doubly composite chernoff-stein lemma and its applications (2025), arXiv:2510.06342 [cs.IT]
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For composite quantum hypothesis testing with a mixed IID null hypothesis, the optimal type-II error exponent is the worst-case component when type-I error vanishes, but not for fixed nonzero type-I error.
The generalized quantum Stein's lemma remains valid for almost-iid states via a new continuity bound on relative entropy of entanglement with respect to quantum Wasserstein distance.
citing papers explorer
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Operational interpretation of the reverse sandwiched Renyi divergences in composite quantum hypothesis testing
The reverse sandwiched Renyi divergence for alpha in (0,1) exactly equals the optimal Hoeffding exponent for discriminating a thermal equilibrium state from a probe with unknown dephasing in the energy basis.
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Generalized quantum Stein's lemma for mixed sources
For composite quantum hypothesis testing with a mixed IID null hypothesis, the optimal type-II error exponent is the worst-case component when type-I error vanishes, but not for fixed nonzero type-I error.
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Robust generalized quantum Stein's lemma
The generalized quantum Stein's lemma remains valid for almost-iid states via a new continuity bound on relative entropy of entanglement with respect to quantum Wasserstein distance.