Some properties of the maximally entangled Eisert-Wilkens-Lewenstein game

K. Bolonek-Lason, P. Kosinski
2013 Progress of Theoretical and Experimental Physics  
The Eisert et al. maximally entangled quantum game is studied within the framework of (elementary) group theory. It is shown that the game can be described in terms of real Hilbert space of states. It is also shown that the crucial properties of the maximally entangled case, like quaternionic structure and the existence, to any given strategy, the corresponding counterstrategy, result from the existence of large stability subgroup of initial state of the game.
doi:10.1093/ptep/ptt050 fatcat:xatgcrx4bvdpzju7s2h4zt3yuy