Adelaide Research & Scholarship
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https://hdl.handle.net/2440/60835
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| Type: | Journal article |
| Title: | Constructing quantum games from a system of Bell's inequalities |
| Author: | Iqbal, A. Abbott, D. |
| Citation: | Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics, 2010; 374(31-32):3155-3163 |
| Publisher: | Elsevier Science BV |
| Issue Date: | 2010 |
| ISSN: | 0375-9601 |
| Statement of Responsibility: | Azhar Iqbal and Derek Abbott |
| Abstract: | We report constructing quantum games directly from a system of Bell's inequalities using Arthur Fine's analysis published in early 1980s. This analysis showed that such a system of inequalities forms a set of both necessary and sufficient conditions required to find a joint distribution function compatible with a given set of joint probabilities, in terms of which the system of Bell's inequalities is usually expressed. Using the setting of a quantum correlation experiment for playing a quantum game, and considering the examples of Prisoners' Dilemma and Matching Pennies, we argue that this approach towards constructing quantum games addresses some of their well-known criticisms. © 2010 Elsevier B.V. All rights reserved. |
| Keywords: | Quantum games Prisoner's Dilemma Matching Pennies Nash equilibrium Quantum correlation experiments Joint probability Quantum probability |
| Rights: | Copyright © 2010 Elsevier B.V. All rights reserved. |
| DOI: | 10.1016/j.physleta.2010.05.062 |
| Appears in Collections: | Aurora harvest 5 Electrical and Electronic Engineering publications |
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