The quantum Blackwell theorem with some applications - Francesco Buscemi

David Blackwell, in 1949, discovered a powerful link between game theory and statistical estimation theory by reformulating the notion of statistical sufficiency in game-theoretic terms. In this talk I will show several ways to extend Blackwell's insight to the quantum setting, describing its deep consequences in the study of quantum entanglement and nonlocality, quantum super-activation, quantum Markov chains, and, more abstractly, the role of complete positivity in quantum theory.