5 papers
Hockey stick -divergences
Fumio Hiai, Milán Mosonyi, Marco Tomamichel
In this paper we give a systematic and unified treatment and extensions of various results on a new notion of quantum -divergences defined from quantum hockey stick divergences,…
Rényi divergences and binary state discrimination error exponents for fermionic quasi-free states
Milán Mosonyi, Gábor Maróti-Zareczky
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-typ…
Barycentric bounds on the error exponents of quantum hypothesis exclusion
Kaiyuan Ji, Hemant K. Mishra, Milán Mosonyi +1
Quantum state exclusion is an operational task with application to ontological interpretations of quantum states. In such a task, one is given a system whose state is randomly sele…
Error bounds for composite quantum hypothesis testing and a new characterization of the weighted Kubo-Ando geometric means
Péter E. Frenkel, Milán Mosonyi, Péter Vrana +1
The optimal error exponents of binary composite i.i.d. state discrimination are trivially bounded by the worst-case pairwise exponents of discriminating individual elements of the…
Converse bounds for quantum hypothesis exclusion: A divergence-radius approach
Kaiyuan Ji, Hemant K. Mishra, Milán Mosonyi +1
Hypothesis exclusion is an information-theoretic task in which an experimenter aims at ruling out a false hypothesis from a finite set of known candidates, and an error occurs if a…