Appears in collection : 2017 - T3 - WS1 - Operator algebras and quantum information theory

In this talk we will study the value of XOR games G when the players are allowed to use a limited amount of one-way classical (resp. quantum) communication. This can be understood as an intermediate setting between quantum nonlocality and communication complexity problems. Then, we will show that some of the key quantities studied in these topics can be naturally described by means of tensor norms and that this description allows to find new connections between quantum nonlocality and communication complexity.