Quantum Entanglement And Nonlocal Game

Quantum entanglement is a property of compound quantum system.It's a nonclassical correlation between subsystems and it has many potential uses.Especially in quantum information processing,quantum entanglement is a very useful resource for many tasks,such as quantum key distribution,quantum teleportation and quantum algorithms.Although quantum entanglement is fragile to the environment,it has very strong against conceptual and mathematical tools,we can explore it structure from many aspects.This paper studies the structure of quantum entanglement from three aspects,includes it bell nonlocality,nonclassical correlation and entanglement witness which based on it geometry structure.And we also discuss three kinds of quantum games of the three structures,they are nonlocal game,semi-quantum nonlocal game and entanglement witness game.Entanglement exists as a useful resource for all these games,but they use the different characters of entanglement.The traditional nonlocal game take advantages of the nonlocality in entangled states,while the semi-quantum nonlocal game uses the entangled states' nonclassical correlation,which is the property that they cannot be created by separate states through local operator and shared randomness.Inspired by these two games,we proposed an entanglement witness game,which takes the advantages of the geometry character of entangled states.