Analysis of two-player quantum games in an EPR setting using Clifford's geometric algebra
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Date
2012
Authors
Chappell, J.
Iqbal, A.
Abbott, D.
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Adesso, G.
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Journal article
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PLoS One, 2012; 7(1):e29015-1-e29015-8
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James M. Chappell, Azhar Iqbal and Derek Abbott
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Abstract
The 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.
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Copyright: © 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.