# Comment on "Quantum Games and Quantum Strategies"

@article{Bordg2019CommentO, title={Comment on "Quantum Games and Quantum Strategies"}, author={Anthony Bordg and Yijun He}, journal={ArXiv}, year={2019}, volume={abs/1911.09354} }

We point out a flaw in the unfair case of the quantum Prisoner's Dilemma as introduced in the pioneering Letter "Quantum Games and Quantum Strategies" of Eisert, Wilkens and Lewenstein. It is not true that the so-called miracle move therein always gives quantum Alice a large reward against classical Bob and outperforms tit-for-tat in an iterated game. Indeed, we introduce a new classical strategy that becomes Bob's dominant strategy, should Alice play the miracle move. Finally, we briefly…

## 7 Citations

Quantum Conditional Strategies for Prisoners' Dilemmata Under the Ewl Scheme

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The accuracy of a few simple quantum games has been supported with experimental evidence through computer science, suggesting the potential relevance of the theory once necessary technological advances are made.

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Finite Automata Capturing Winning Sequences for All Possible Variants of the PQ Penny Flip Game

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This paper establishes a rigorous connection between finite automata and the P Q game along with all its possible variations, and introduces the new concepts of a winning automaton and complete automaton for either player.

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