# Advantage of a quantum player over a classical one in 2 × 2 quantum games

@article{Flitney2003AdvantageOA, title={Advantage of a quantum player over a classical one in 2 × 2 quantum games}, author={Adrian P. Flitney and Derek Abbott}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, year={2003}, volume={459}, pages={2463 - 2474} }

We study a general 2 × 2 symmetric entangled quantum game. When one player has access only to classical strategies, while the other can use the full range of quantum strategies, there are ‘miracle’ moves available to the quantum player that can direct the game towards the quantum player's preferred result regardless of the classical player's strategy. The advantage pertaining to the quantum player is dependent on the degree of entanglement. Below a critical level, dependent on the pay–offs in…

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