2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89534In bi-matrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permit pure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of two-qubit initial quantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixed symmetric Nash equilibrium.8 pages, no figure, to appear in Communications in Theoretical PhysicsQuantum PhysicsAdaptation and Self-Organizing Systemstext