Self-Testing as an Approach to Certifying Quantum Systems

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Classical players cap CHSH at 75% while quantum strategies reach about 85% and CHSH self-tests an EPR pair by forcing anti‑commuting observables (Jordan’s lemma reduces higher dimensions to qubits). The Magic Square game admits a perfect quantum strategy using two EPR pairs and a group representation view gives Magic Square self-tests two EPR pairs via unique operator solutions. Robust CHSH repetitions enable delegated quantum computation; the MIP = RE* result separates tensor‑product and commuting models.

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1. 0:00Start
2. 0:39Certifying quantum devices: why?
3. 1:58Settings
4. 3:39BELL'S THEOREM: a partial answer
5. 7:38An example: the CHSH game.
6. 25:59A closer look at the magic square game
7. 47:22QUANTUM CORRELATIONS
8. 48:32Quantum correlation sets