Adiabatic quantum games and phase-transition-like behavior between optimal strategies

dc.contributor.authorde Ponte, M. A. [UNESP]
dc.contributor.authorSantos, Alan C.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal Fluminense (UFF)
dc.date.accessioned2018-12-11T17:20:05Z
dc.date.available2018-12-11T17:20:05Z
dc.date.issued2018-06-01
dc.description.abstractIn this paper we propose a game of a single qubit whose strategies can be implemented adiabatically. In addition, we show how to implement the strategies of a quantum game through controlled adiabatic evolutions, where we analyze the payment of a quantum player for various situations of interest: (1) when the players receive distinct payments, (2) when the initial state is an arbitrary superposition, and (3) when the device that implements the strategy is inefficient. Through a graphical analysis, it is possible to notice that the curves that represent the gains of the players present a behavior similar to the curves that give rise to a phase transition in thermodynamics. These transitions are associated with optimal strategy changes and occur in the absence of entanglement and interaction between the players.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP), Campus Experimental de Itapeva
dc.description.affiliationInstituto de Física Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Gragoatá
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP), Campus Experimental de Itapeva
dc.identifierhttp://dx.doi.org/10.1007/s11128-018-1918-6
dc.identifier.citationQuantum Information Processing, v. 17, n. 6, 2018.
dc.identifier.doi10.1007/s11128-018-1918-6
dc.identifier.file2-s2.0-85046808015.pdf
dc.identifier.issn1570-0755
dc.identifier.scopus2-s2.0-85046808015
dc.identifier.urihttp://hdl.handle.net/11449/176314
dc.language.isoeng
dc.relation.ispartofQuantum Information Processing
dc.relation.ispartofsjr0,708
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAdiabatic evolution
dc.subjectPhase-transition-like behavior
dc.subjectQuantum games
dc.titleAdiabatic quantum games and phase-transition-like behavior between optimal strategiesen
dc.typeArtigo
unesp.author.orcid0000-0003-4792-3040[1]

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