Current studentsExisting staffContact us
 

Analysis of two-player quantum games in an EPR setting using Clifford's geometric algebra

Simple item page
dc.contributor.authorChappell, J.
dc.contributor.authorIqbal, A.
dc.contributor.authorAbbott, D.
dc.contributor.editorAdesso, G.
dc.date.issued2012
dc.description.abstractThe framework for playing quantum games in an Einstein-Podolsky-Rosen (EPR) type setting is investigated using the mathematical formalism of geometric algebra (GA). The main advantage of this framework is that the players' strategy sets remain identical to the ones in the classical mixed-strategy version of the game, and hence the quantum game becomes a proper extension of the classical game, avoiding a criticism of other quantum game frameworks. We produce a general solution for two-player games, and as examples, we analyze the games of Prisoners' Dilemma and Stag Hunt in the EPR setting. The use of GA allows a quantum-mechanical analysis without the use of complex numbers or the Dirac Bra-ket notation, and hence is more accessible to the non-physicist.
dc.description.statementofresponsibilityJames M. Chappell, Azhar Iqbal and Derek Abbott
dc.identifier.citationPLoS One, 2012; 7(1):e29015-1-e29015-8
dc.identifier.doi10.1371/journal.pone.0029015
dc.identifier.issn1932-6203
dc.identifier.issn1932-6203
dc.identifier.orcidChappell, J. [0000-0002-8032-2231]
dc.identifier.orcidIqbal, A. [0000-0002-5221-9384]
dc.identifier.orcidAbbott, D. [0000-0002-0945-2674]
dc.identifier.urihttp://hdl.handle.net/2440/70596
dc.language.isoen
dc.publisherPublic Library of Science
dc.rightsCopyright: © 2012 Chappell et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
dc.source.urihttps://doi.org/10.1371/journal.pone.0029015
dc.subjectComputer Simulation
dc.subjectModels, Theoretical
dc.subjectAlgorithms
dc.subjectGame Theory
dc.subjectQuantum Theory
dc.titleAnalysis of two-player quantum games in an EPR setting using Clifford's geometric algebra
dc.typeJournal article
pubs.publication-statusPublished

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
hdl_70596.pdf
Size:
198.29 KB
Format:
Adobe Portable Document Format
Description:
Published version
Download

Collections

Electrical and Electronic Engineering publications