Pareto-optimal solution for the quantum battle of the sexes.
LEAL, Adriane Consuelo da Silva; ARAUJO-FERREIRA, Arthur Gustavo de; OLIVEIRA, Everton Lucas de; BONAGAMBA, Tito José; AUCCAISE, Ruben.
LEAL, Adriane Consuelo da Silva; ARAUJO-FERREIRA, Arthur Gustavo de; OLIVEIRA, Everton Lucas de; BONAGAMBA, Tito José; AUCCAISE, Ruben.
Abstract: Quantum games have gained much popularity in the last two decades. Many of these quantum games are a redefinition of iconic classical games to fit the quantum world, and they gain many different properties and solutions in this different view. In this letter, we attempt to find a solution to an asymmetric quantum game which still troubles quantum game researchers, the quantum battle of the sexes. To achieve that, we perform an analysis using the Eisert-Wilkens-Lewenstein protocol for this asymmetric game. The protocol highlights two solutions for the game, which solve the dilemma and satisfy the pareto-optimal definition, unlike previous reports that rely on Nash equilibrium. We perform an experimental implementation using the NMR technique in a two-qubit system. Our results eliminate dilemmas on the quantum battle of the sexes and provide us with arguments to elucidate that the Eisert-Wilkens-Lewenstein protocol is not restricted to symmetric games at the quantum regime.
@article={002981499,author = {LEAL, Adriane Consuelo da Silva; ARAUJO-FERREIRA, Arthur Gustavo de; OLIVEIRA, Everton Lucas de; BONAGAMBA, Tito José; AUCCAISE, Ruben.},title={Pareto-optimal solution for the quantum battle of the sexes},journal={Quantum Information Processing},note={v. 19, n. 2, p. 41-1-41-21},year={2020}}