Analyzing three-player quantum games in an EPR type setup.

We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this setting, the players' strategy sets remain identical to the...

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Autores principales:	James M Chappell, Azhar Iqbal, Derek Abbott
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2011
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/d2004733f493403ebea82ad29cc57a20
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spelling	oai:doaj.org-article:d2004733f493403ebea82ad29cc57a202021-11-18T06:49:20ZAnalyzing three-player quantum games in an EPR type setup.1932-620310.1371/journal.pone.0021623https://doaj.org/article/d2004733f493403ebea82ad29cc57a202011-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21818260/?tool=EBIhttps://doaj.org/toc/1932-6203We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this setting, the players' strategy sets remain identical to the ones in the mixed-strategy version of the classical game that is obtained as a proper subset of the corresponding quantum game. Using GA we investigate the outcome of a realization of the game by players sharing GHZ state, W state, and a mixture of GHZ and W states. As a specific example, we study the game of three-player Prisoners' Dilemma.James M ChappellAzhar IqbalDerek AbbottPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 6, Iss 7, p e21623 (2011)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q James M Chappell Azhar Iqbal Derek Abbott Analyzing three-player quantum games in an EPR type setup.
description	We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this setting, the players' strategy sets remain identical to the ones in the mixed-strategy version of the classical game that is obtained as a proper subset of the corresponding quantum game. Using GA we investigate the outcome of a realization of the game by players sharing GHZ state, W state, and a mixture of GHZ and W states. As a specific example, we study the game of three-player Prisoners' Dilemma.
format	article
author	James M Chappell Azhar Iqbal Derek Abbott
author_facet	James M Chappell Azhar Iqbal Derek Abbott
author_sort	James M Chappell
title	Analyzing three-player quantum games in an EPR type setup.
title_short	Analyzing three-player quantum games in an EPR type setup.
title_full	Analyzing three-player quantum games in an EPR type setup.
title_fullStr	Analyzing three-player quantum games in an EPR type setup.
title_full_unstemmed	Analyzing three-player quantum games in an EPR type setup.
title_sort	analyzing three-player quantum games in an epr type setup.
publisher	Public Library of Science (PLoS)
publishDate	2011
url	https://doaj.org/article/d2004733f493403ebea82ad29cc57a20
work_keys_str_mv	AT jamesmchappell analyzingthreeplayerquantumgamesinaneprtypesetup AT azhariqbal analyzingthreeplayerquantumgamesinaneprtypesetup AT derekabbott analyzingthreeplayerquantumgamesinaneprtypesetup
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Analyzing three-player quantum games in an EPR type setup.

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