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Quantum Correlation Games
Quantum Physics · Submitted 25 Jun 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It appears to be conceptually impossible to reproduce the properties of quantum correlation games within the framework of classical games.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A new approach to play games quantum mechanically is proposed. | contribution 1.00 | 0.77 | 0.07 | asserted 0.95 |
| s1 | We consider two players who perform measurements in an EPR-type setting. | method 0.89 | 0.57 | 0.02 | asserted 0.96 |
| s2 | The payoff relations are defined as functions of *correlations*, i.e. without reference to classical or quantum mechanics. | method 0.69 | 0.70 | 0.07 | asserted 1.00 |
| s3 | Classical bi-matrix games are reproduced if the input states are classical and perfectly anti-correlated, that is, for a classical correlation game. | result 0.89 | 0.61 | 0.06 | asserted 1.00 |
| s4 | However, for a quantum correlation game, with an entangled singlet state as input, qualitatively different solutions are obtained. | result 0.97 | 0.81 | 0.27 | asserted 0.98 |
| s5 | For example, the Prisoners' Dilemma acquires a Nash equilibrium if the players both apply a mixed strategy. | result 1.00 | 0.80 | 0.12 | asserted 0.98 |
| s6 | It appears to be conceptually impossible to reproduce the properties of quantum correlation games within the framework of classical games. | interpretation 0.97 | 0.48 | 0.71 | hedged possibility 0.70 |
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The paper
Original 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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