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Communication complexity is an area of classical computer science whichstudies how much communication is necessary to solve various distributedcomputational problems. Quantum information processing can be used to reducethe amount of communication required to carry out some distributed problems. Wespeak of pseudo-telepathy when it is able to completely eliminate the need forcommunication. The matching game is the newest member of the family ofpseudo-telepathy games. After introducing a general model for pseudo-telepathygames, we focus on the question what the smallest size of inputs is for whichthe matching game is a pseudo-telepathy game.

SEPARATION BETWEEN CLASSICAL AND QUANTUM WINNING STRATEGIES FOR THE MATCHING GAME