dorsal/arxiv
View SchemaQuantum Correlation Games
| Authors | Azhar Iqbal, Stefan Weigert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306176 |
| URL | https://arxiv.org/abs/quant-ph/0306176 |
| DOI | 10.1088/0305-4470/37/22/012 |
| Journal | J. Phys. A 37 (2004) 5873 |
Abstract
A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of *correlations*, i.e. without reference to classical or quantum mechanics. Classical bi-matrix games are reproduced if the input states are classical and perfectly anti-correlated, that is, for a classical correlation game. However, for a quantum correlation game, with an entangled singlet state as input, qualitatively different solutions are obtained. For example, the Prisoners' Dilemma acquires a Nash equilibrium if the players both apply a mixed strategy. It appears to be conceptually impossible to reproduce the properties of quantum correlation games within the framework of classical games.
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"abstract": "A new approach to play games quantum mechanically is proposed. We consider\ntwo players who perform measurements in an EPR-type setting. The payoff\nrelations are defined as functions of *correlations*, i.e. without reference to\nclassical or quantum mechanics. Classical bi-matrix games are reproduced if the\ninput states are classical and perfectly anti-correlated, that is, for a\nclassical correlation game. However, for a quantum correlation game, with an\nentangled singlet state as input, qualitatively different solutions are\nobtained. For example, the Prisoners\u0027 Dilemma acquires a Nash equilibrium if\nthe players both apply a mixed strategy. It appears to be conceptually\nimpossible to reproduce the properties of quantum correlation games within the\nframework of classical games.",
"arxiv_id": "quant-ph/0306176",
"authors": [
"Azhar Iqbal",
"Stefan Weigert"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/37/22/012",
"journal_ref": "J. Phys. A 37 (2004) 5873",
"title": "Quantum Correlation Games",
"url": "https://arxiv.org/abs/quant-ph/0306176"
},
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