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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.
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