How To Play Two-Player Restricted Quantum Games with 10 Cards |
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Authors: | Diederik Aerts Bart D’Hooghe Andrzej Posiewnik Jaroslaw Pykacz Jeroen Dehaene Bart De Moor |
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Institution: | (1) Leo Apostel Centre for Interdisciplinary Studies (CLEA) and Foundations of the Exact Sciences (FUND), Department of Mathematics, Vrije Universiteit Brussel, 1160 Brussels, Belgium;(2) Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland;(3) Institute of Mathematics, University of Gdańsk, 80-952 Gdańsk, Poland;(4) SISTA, Department of Electrical Engineering (ESAT), Faculty of Engineering, Katholieke Universiteit Leuven, 3000 Leuven, Belgium |
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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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