Nonclassical rules in quantum games

TL;DR

This paper investigates non-classical features of a well-known quantum game model, highlighting unique quantum effects that distinguish it from classical game theory.

Contribution

It identifies and analyzes non-classical features in the quantum game scheme introduced by Eisert, Wilkens, and Lewenstein.

Findings

Identification of non-classical features in the quantum game scheme

Discussion of how quantum strategies differ from classical ones

Insights into the quantum effects in 2x2 game models

Abstract

Over the last twenty years of research on quantum game theory have given us many ideas of how quantum games could be played. One of the most prominent ideas in the field is a model of quantum playing a 2x2 game introduced by J. Eisert, M. Wilkens and M. Lewenstein. The scheme assumes that players' strategies are unitary operations the players act on the maximally entangled two-qubit state. The quantum nature of the scheme has been under discussion since the article by Eisert et al. came out. The aim of our paper is to identify some of non-classical features of the quantum scheme.