Adiabatic quantum games and phase-transition-like behavior between optimal strategies
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s11128-018-1918-6 http://hdl.handle.net/11449/176314 |
Resumo: | In 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. |
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Repositório Institucional da UNESP |
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Adiabatic quantum games and phase-transition-like behavior between optimal strategiesAdiabatic evolutionPhase-transition-like behaviorQuantum gamesIn 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.Universidade Estadual Paulista (UNESP), Campus Experimental de ItapevaInstituto de Física Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, GragoatáUniversidade Estadual Paulista (UNESP), Campus Experimental de ItapevaUniversidade Estadual Paulista (Unesp)Universidade Federal Fluminense (UFF)de Ponte, M. A. [UNESP]Santos, Alan C.2018-12-11T17:20:05Z2018-12-11T17:20:05Z2018-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/s11128-018-1918-6Quantum Information Processing, v. 17, n. 6, 2018.1570-0755http://hdl.handle.net/11449/17631410.1007/s11128-018-1918-62-s2.0-850468080152-s2.0-85046808015.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengQuantum Information Processing0,708info:eu-repo/semantics/openAccess2024-01-20T06:28:52Zoai:repositorio.unesp.br:11449/176314Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:27:19.793725Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
title |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
spellingShingle |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies de Ponte, M. A. [UNESP] Adiabatic evolution Phase-transition-like behavior Quantum games |
title_short |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
title_full |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
title_fullStr |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
title_full_unstemmed |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
title_sort |
Adiabatic quantum games and phase-transition-like behavior between optimal strategies |
author |
de Ponte, M. A. [UNESP] |
author_facet |
de Ponte, M. A. [UNESP] Santos, Alan C. |
author_role |
author |
author2 |
Santos, Alan C. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Federal Fluminense (UFF) |
dc.contributor.author.fl_str_mv |
de Ponte, M. A. [UNESP] Santos, Alan C. |
dc.subject.por.fl_str_mv |
Adiabatic evolution Phase-transition-like behavior Quantum games |
topic |
Adiabatic evolution Phase-transition-like behavior Quantum games |
description |
In 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. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:20:05Z 2018-12-11T17:20:05Z 2018-06-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/s11128-018-1918-6 Quantum Information Processing, v. 17, n. 6, 2018. 1570-0755 http://hdl.handle.net/11449/176314 10.1007/s11128-018-1918-6 2-s2.0-85046808015 2-s2.0-85046808015.pdf |
url |
http://dx.doi.org/10.1007/s11128-018-1918-6 http://hdl.handle.net/11449/176314 |
identifier_str_mv |
Quantum Information Processing, v. 17, n. 6, 2018. 1570-0755 10.1007/s11128-018-1918-6 2-s2.0-85046808015 2-s2.0-85046808015.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Quantum Information Processing 0,708 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129523274743808 |