Pareto-optimal solution for the quantum battle of the sexes
| Autor: | Arthur G. Araujo-Ferreira, Tito José Bonagamba, R. Auccaise, Everton Lucas-Oliveira, Adriane Consuelo-Leal |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Computer Science::Computer Science and Game Theory
Quantum Physics Computer science ComputingMilieux_PERSONALCOMPUTING FOS: Physical sciences TheoryofComputation_GENERAL Statistical and Nonlinear Physics Popularity Theoretical Computer Science Electronic Optical and Magnetic Materials Dilemma Quantum circuit symbols.namesake Nash equilibrium Modeling and Simulation Signal Processing symbols FÍSICA MODERNA Electrical and Electronic Engineering Quantum Physics (quant-ph) Mathematical economics Protocol (object-oriented programming) Quantum Battle of the sexes Quantum computer |
| Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| Popis: | 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's 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's protocol is not restricted to symmetric games when at the quantum regime. |
| Databáze: | OpenAIRE |
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