Pareto-optimal solution for the quantum battle of the sexes

Autor(es)

Consuelo-Leal, A. ^[1] ; Araujo-Ferreira, A. G. ^[1] ; Lucas-Oliveira, E. ^[1] ; Bonagamba, T. J. ^[1] ; Auccaise, R. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Estadual Ponta Grossa, Dept Fis, Av Carlos Cavalcanti 4748, BR-84030900 Ponta Grossa, Parana - Brazil

• Tipo de documento: Artigo Científico
• Fonte: QUANTUM INFORMATION PROCESSING; v. 19, n. 2 FEB 2020.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 12/02208-5 - Processamento da informação quântica via ressonância magnética nuclear
• Beneficiário: Tito José Bonagamba
• Linha de fomento: Auxílio à Pesquisa - Regular