Constant-Sized Self-Tests for Maximally Entangled States and Single Projective Measurements

Explore a comprehensive lecture on self-testing in bipartite Bell scenarios, focusing on quantum systems with small input-output configurations but arbitrarily large dimensions. Delve into Dr. Jurij Volcic's research, which demonstrates that every maximally entangled state can be self-tested using four binary measurements per party, extending previous work by Fu and Mančinska-Prakash-Schafhauser. Discover how single binary projective measurements can be self-tested with five binary measurements per party, and learn about similar results for projective measurements with multiple outputs. Gain insights into the representation theory of projection tuples, their irreducible representations, spectral analysis, and post-hoc self-testing techniques used to construct these compact self-tests. This talk, part of the Quantum Information and Quantum Computing Seminars at CTP PAS, offers a deep dive into advanced quantum certification methods.