Abstract: The first half of this talk introduces the notion of non-local games, with particular emphasis on a canonical example, the Clauser–Horne–Shimony–Holt(CHSH) game. This game involves two players, Alice and Bob. They can share a strategy to maximize their winning probability in this game. When restricted to classical strategies, the optimal winning probability is 75%, whereas quantum strategies achieve a higher winning probability of approximately 85.36%. Such quantum strategies require Alice and Bob to share entangled quantum states and perform appropriate quantum measurements. We will explain this framework in detail. In the second half of the talk, we present a more general framework of non-local games and discuss its connection to the Connes embedding problem.