A Chain Rule for the Quantum Relative Entropy

Explore a 23-minute conference talk on quantum information theory presented by David Sutter from IBM Zürich Research Laboratory at the Entropy Inequalities, Quantum Information and Quantum Physics 2021 event. Delve into the concept of a chain rule for quantum relative entropy, a generalization of conditional entropy in quantum systems. Discover how this new chain rule involves regularized relative entropy between quantum channels and why regularization is necessary. Learn about the implications of this finding for quantum statistics, particularly in asymmetric discrimination between quantum channels. Gain insights into the comparative power of adaptive versus non-adaptive strategies in this context. Engage with open questions related to the chain rule and its applications in quantum information theory. Enhance your understanding of advanced concepts in quantum entropy and their relevance to quantum physics and information processing.