Note on maximally entangled Eisert–Lewenstein–Wilkens quantum games

Abstract

Maximally entangled Eisert–Lewenstein–Wilkens games are analyzed. For a general class of gates defined in the previous papers of the first author, the general conditions are derived which allow to determine the form of gate leading to maximally entangled games. The construction becomes particularly simple provided one does distinguish between games differing by relabeling of strategies. Some examples are presented.