Tracial Embeddable Strategies - Lifting MIP* Tricks to MIPco

Watch an 18-minute conference talk from the 19th Theory of Quantum Computation, Communication and Cryptography Conference (TQC 2024) exploring how two-party correlations in the commuting operator model can be approximated using tracial embeddable strategies. Learn about the characterization of approximately synchronous correlations and their approximation to averaged synchronous correlations in the commuting operator model, extending beyond Vidick's finite-dimensional quantum correlations work. Discover how these findings validate the quantum tensor code test's soundness property under the general commuting operator model and explore the extension of the Gowers-Hatami theorem's state-dependent norm variant to finite von Neumann algebras. Understand how these theoretical advances enable the lifting of robust self-testing results for non-local games to the commuting operator model, including efficient finite-dimensional EPR testing for commuting operator strategies. Presented at OIST, Japan, this technical discussion contributes to the broader understanding of non-local games in infinite-dimensional settings.