A monogamy-of-entanglement game with applications to device-independent quantum cryptography

摘要: We consider a game in which two separate laboratories collaborate to prepare quantum system and are then asked guess the outcome of measurement performed by third party random basis on that system. Intuitively, uncertainty principle monogamy entanglement, probability both players simultaneously succeed guessing correctly is bounded. interested question how success scales when many such games parallel. show any strategy maximizes win every individually also optimal for parallel repetition game. Our result implies can be achieved without use entanglement. explore several applications this result. Firstly, we it security standard BB84 key distribution receiving uses fully untrusted devices, i.e. one-sided device independent. Secondly, our used prove one-round position-verification scheme. Finally, generalize well-known relation side information.