6 papers · 1 filter
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…
Geometric relative entropies and barycentric Rényi divergences
Milán Mosonyi, Gergely Bunth, Péter Vrana
We give systematic ways of defining monotone quantum relative entropies and (multi-variate) quantum Rényi divergences starting from a set of monotone quantum relative entropies. D…