The Quantum Locker Puzzle

The locker puzzle is a game played by multiple players against a referee. It has been previously shown that the best strategy that exists cannot success with probability greater than than 1-ln2 sime 0.31, no matter how many players are involved. Our contribution is to show that quantum players can do much better---they can succeed with probability 1. By making the rules of the game significantly stricter, we show a scenario where the quantum players still succeed perfectly, while the classical players win with vanishing probability. Other variants of the locker puzzle are considered, as well as a cheating referee.