Appears in collection : 2024 - PC2 - Random tensors and related topics

Quantum XOR games extend the model of classical XOR games by allowing the referee's questions to the players to be quantum states. Then, it is known that quantum XOR games exhibit a variety of behaviors that do not appear in the classical case. In this talk, we will explain how to describe these games using tensor norms and how this description can lead to new results on the relationship between quantum entanglement and classical communication. If time permits, some open problems concerning certain multipartite quantum states will also be discussed.