They take into account the fact that the players may be unaware of some of the strategies available to them or their opponents as well as the players may have a restricted view about the number of players participating in the game. The aim of my presentation is to explain how to introduce this notion into theory of quantum games. I shall focus on PQ Penny Flip game defined by D. Meyer. In particular, I shall formalize the previous results and consider other cases of unawareness in the game.