2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90350I give an analysis of the simplest non-commutative quantum game, which is a gambling game much like Heads or Tails. The quantum gamespace displays strategies which are not interpretable through direct-product strategies of the two players. Yet the pay-off allows for correlations if states corresponding to a different number of rounds played are superposed.8 pages, replaced by final versionQuantum PhysicsQuantum 2-player gambling and correlated pay-offtext