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Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics

arXiv:2606.06246v1 Announce Type: cross Abstract: We consider Bayesian discrimination among multiple quantum states and establish a dimension-free one-shot upper bound on the minimum probability of error in terms of the sum of pairwise errors. This resolves a conjecture of Audenaert and Mosonyi Phys. 55 (2014)] and improves the multiple quantum Chernoff bound of Li

arXiv CS 5d ago

R\'enyi divergences and binary state discrimination error exponents for fermionic quasi-free states

Announce Type: cross Abstract: The trade-off relations between the two types of error probabilities in binary i.i.d. quantum state discrimination can be expressed by single-copy formulas in terms of the Petz-type and the sandwiched R\'enyi divergences of the two states representing the two hypotheses. setting, the error exponents can usually be expressed in terms of regularized R\'enyi divergences, which do not admit explicit formulas in general.

arXiv CS 9d ago