dorsal/arxiv
View SchemaPhase-transition-like Behavior of Quantum Games
| Authors | Jiangfeng Du, Hui Li, Xiaodong Xu, Xianyi Zhou, Rongdian Han |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111138 |
| URL | https://arxiv.org/abs/quant-ph/0111138 |
| Journal | J. Phys. A 36, 6551 (2003) |
Abstract
The discontinuous dependence of the properties of a quantum game on its entanglement has been shown up to be very much like phase transitions viewed in the entanglement-payoff diagram [J. Du et al., Phys. Rev. Lett, 88, 137902 (2002)]. In this paper we investigate such phase-transition-like behavior of quantum games, by suggesting a method which would help to illuminate the origin of such kind of behavior. For the particular case of the generalized Prisoners' Dilemma, we find that, for different settings of the numerical values in the payoff table, even though the classical game behaves the same, the quantum game exhibits different and interesting phase-transition-like behavior.
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"abstract": "The discontinuous dependence of the properties of a quantum game on its\nentanglement has been shown up to be very much like phase transitions viewed in\nthe entanglement-payoff diagram [J. Du et al., Phys. Rev. Lett, 88, 137902\n(2002)]. In this paper we investigate such phase-transition-like behavior of\nquantum games, by suggesting a method which would help to illuminate the origin\nof such kind of behavior. For the particular case of the generalized Prisoners\u0027\nDilemma, we find that, for different settings of the numerical values in the\npayoff table, even though the classical game behaves the same, the quantum game\nexhibits different and interesting phase-transition-like behavior.",
"arxiv_id": "quant-ph/0111138",
"authors": [
"Jiangfeng Du",
"Hui Li",
"Xiaodong Xu",
"Xianyi Zhou",
"Rongdian Han"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Phys. A 36, 6551 (2003)",
"title": "Phase-transition-like Behavior of Quantum Games",
"url": "https://arxiv.org/abs/quant-ph/0111138"
},
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