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Evolutionary quantum game

Roland Kay·Neil F. Johnson·Simon C. Benjamin
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Abstract

We present the first study of a dynamical quantum game. Each agent has a `memory' of her performance over the previous m timesteps, and her strategy can evolve in time. The game exhibits distinct regimes of optimality. For small m the classical game performs better, while for intermediate m the relative performance depends on whether the source of qubits is `corrupt'. For large m, the quantum players dramatically outperform the classical players by `freezing' the game into high-performing attractors in which evolution ceases.

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Roland Kay, Neil F. Johnson, Simon C. Benjamin. 2001-02-01. Evolutionary quantum game. https://arxiv.org/abs/quant-ph/0102008

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