Relative entropies in quantum information theory
9–1–9 Applied mathematics
Name of the supervisor
Mgr. Anna Jenčová, DrSc.
Faculty of Mathematics, Physics and Informatics, Comenius University Bratislava
Relative entropy is one of the fundamental concepts in information theory. These quantities describe operational characteristics of optimal procedures in various types of information-theoretic tasks, but also serve as an important mathematical tool. The class of quantum relative entropies is much richer than the classical counterpart and many of the possible quantities, their interpretations and mutual relations are not fully investigated. We focus on various versions of quantum Rényi relative entropies and their extensions, such as to infinite dimensions or for quantum channels, as well as their possible operational interpretations.