Note on maximally entangled Eisert-Lewenstein-Wilkens quantum games

TL;DR

This paper analyzes maximally entangled Eisert-Lewenstein-Wilkens quantum games, deriving conditions for gate operators to achieve maximal entanglement and simplifying the construction by strategy relabeling.

Contribution

It introduces general conditions for gate operators to produce maximally entangled quantum games, simplifying their construction and providing illustrative examples.

Findings

Derived conditions for maximally entangled states

Simplified construction via strategy relabeling

Presented specific examples of maximally entangled games

Abstract

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