Sufficiency of Rényi Divergences in Quantum Information Theory

Watch a 27-minute conference talk from TQC 2024 exploring the mathematical foundations of state equivalence through Rényi divergences in classical and quantum systems. Delve into proof demonstrations showing how equality of Rényi divergences is sufficient for establishing channel existence between classical dichotomies, while examining why quantum Rényi divergences prove insufficient due to their inability to detect anti-unitary transformations. Learn about new mathematical inequalities discovered for classical, Petz quantum, and maximal quantum Rényi divergences, with implications for state transitions in athermality resource theory. Presented by researchers Niklas Galke, Lauritz van Luijk and Henrik Wilming at the 19th Conference on Theory of Quantum Computation, Communication and Cryptography held at the Okinawa Institute for Science and Technology.