How To Play Two-Player Restricted Quantum Games with 10 Cards

Diederik Aerts; Bart D'Hooghe; Andrezj Posiewnik; Jaroslaw Pykacz; Jeroen Dehaene; Bart De Moor

How To Play Two-Player Restricted Quantum Games with 10 Cards

Diederik Aerts, Bart D'Hooghe, Andrezj Posiewnik, Jaroslaw Pykacz, Jeroen Dehaene, Bart De Moor

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We show that it is possible to play 'restricted' two player quantum games proposed originally by Marinatto and Weber (Phys. Lett. A 272:291 - 303, 2000) by purely macroscopic means, in the simplest case having as the only equipment a pack of 10 cards. Our example shows also that some apparently 'genuine quantum' results, even those that emerge as a consequence of dealing with entangled states, can be obtained by suitable application of Kolmogorovian probability calculus and secondary school mathematics, without application of the 'Hilbert space machinery'.

Original language	English
Pages (from-to)	61-68
Number of pages	8
Journal	International Journal of Theoretical Physics
Volume	47
Issue number	1
Publication status	Published - 2008

Keywords

quantum games
classical models
hidden variables

Access to Document

http://www.vub.ac.be/CLEA/aerts/publications/2008QuantGamesCards.pdf

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Persistent link

FWOAL475: The elaboration of an operational framework for the representation of concepts, their combinations and contextual meaning to improve the automated extraction of semantical information from unstructured documents
Aerts, D. (Scientific Promotor), Aerts, S. (Mandate) & Aerts, D. (Administrative Promotor)
1/01/08 → 31/12/11
Project: Fundamental
FWOWO22: Research on the construction of integrating worldviews.
Aerts, D. (Scientific Promotor) & Aerts, D. (Administrative Promotor)
1/01/06 → 31/12/10
Project: Fundamental
FWOAL293: The development of new quantum algorithms.
Aerts, D. (Scientific Promotor), Aerts, D. (Administrative Promotor), Czachor, M. (Mandate) & D'Hooghe, B. (Mandate)
1/01/04 → 31/12/07
Project: Fundamental

Gdańsk University of Technology (External organisation)
Aerts, D. (Member)
20 Dec 1996 → 19 Jun 2000
Activity: Membership › Membership of external research organisation

Cite this

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title = "How To Play Two-Player Restricted Quantum Games with 10 Cards",

abstract = "We show that it is possible to play 'restricted' two player quantum games proposed originally by Marinatto and Weber (Phys. Lett. A 272:291 - 303, 2000) by purely macroscopic means, in the simplest case having as the only equipment a pack of 10 cards. Our example shows also that some apparently 'genuine quantum' results, even those that emerge as a consequence of dealing with entangled states, can be obtained by suitable application of Kolmogorovian probability calculus and secondary school mathematics, without application of the 'Hilbert space machinery'.",

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journal = "International Journal of Theoretical Physics",

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AU - Aerts, Diederik

AU - D'Hooghe, Bart

AU - Posiewnik, Andrezj

AU - Pykacz, Jaroslaw

AU - Dehaene, Jeroen

AU - De Moor, Bart

PY - 2008

Y1 - 2008

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AB - We show that it is possible to play 'restricted' two player quantum games proposed originally by Marinatto and Weber (Phys. Lett. A 272:291 - 303, 2000) by purely macroscopic means, in the simplest case having as the only equipment a pack of 10 cards. Our example shows also that some apparently 'genuine quantum' results, even those that emerge as a consequence of dealing with entangled states, can be obtained by suitable application of Kolmogorovian probability calculus and secondary school mathematics, without application of the 'Hilbert space machinery'.

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KW - classical models

KW - hidden variables

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EP - 68

JO - International Journal of Theoretical Physics

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How To Play Two-Player Restricted Quantum Games with 10 Cards

Abstract

Keywords

Access to Document

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Projects

FWOAL475: The elaboration of an operational framework for the representation of concepts, their combinations and contextual meaning to improve the automated extraction of semantical information from unstructured documents

FWOWO22: Research on the construction of integrating worldviews.

FWOAL293: The development of new quantum algorithms.

Activities

Gdańsk University of Technology (External organisation)

Cite this