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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Pareto-optimal solution for the quantum battle of the sexes

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Author(s):
Consuelo-Leal, A. [1] ; Araujo-Ferreira, A. G. [1] ; Lucas-Oliveira, E. [1] ; Bonagamba, T. J. [1] ; Auccaise, R. [2]
Total Authors: 5
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: QUANTUM INFORMATION PROCESSING; v. 19, n. 2 FEB 2020.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 12/02208-5 - Quantum information processing via nuclear magnetic resonance
Grantee:Tito José Bonagamba
Support type: Regular Research Grants