The Power and Limitations of Self-Testing in Quantum Computing

Explore quantum device characterization through this 54-minute conference talk from the 18th Theory of Quantum Computation Conference (TQC 2023), examining how self-testing results can characterize measurements and states using classical output probabilities in nonlocal games. Delve into the variations in self-testing statements and proofs, including their application to robust scenarios and assumptions about state purity and measurement protectiveness. Learn about groundbreaking findings that demonstrate how reference strategies with full Schmidt rank lead to equivalent self-testing approaches for both mixed and pure states. Examine specific examples highlighting the distinctions between different types of self-testing statements, including cases of exact but non-robust self-tests and games that fail to self-test any state. Delivered at the University of Aveiro, Portugal, as part of a prestigious international conference bringing together theoretical quantum information science experts to advance the field.