Characterising Quantum Correlations of Fixed Dimension

Explore a 23-minute conference talk on characterizing quantum correlations of fixed dimension, presented by Mario Berta from Imperial College London. Delve into the development of a converging semidefinite programming hierarchy for outer approximations of quantum correlations with fixed dimensions. Learn about the analytical bounds on the hierarchy's convergence speed and the creation of a semidefinite program for computing additive epsilon-approximations in two-player free games with quantum assistance. Discover how this approach improves upon previous approximation algorithms, offering polynomial scaling in questions and quasi-polynomial scaling in answers for fixed dimensions. Gain insights into the connection between this work and the quantum separability problem, and understand the application of improved multipartite quantum de Finetti theorems proven through quantum entropy inequalities. This talk, part of the Entropy Inequalities, Quantum Information and Quantum Physics 2021 series, was presented at the Institute for Pure & Applied Mathematics (IPAM) at UCLA on February 8, 2021.