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Dominant strategies in two-qubit quantum computations

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Abstract

Nash equilibrium is a solution concept in non-strictly competitive, noncooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, noncooperative game model is presented here for two-qubit quantum computations that allows for the characterization of Nash equilibrium in these computations via the inner product of their state space. Nash equilibrium outcomes are optimal under given constraints and therefore offer a game-theoretic measure of constrained optimization of two-qubit quantum computations.

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Acknowledgments

I am grateful to Derek Abbott, Steven Bleiler, Azhar Iqbal, and Simon J. D. Phoenix for fruitful discussions. I am also indebted to the referees whose advice has elevated the quality of this paper’s presentation and results.

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Authors and Affiliations

  1. Khalifa University, Abu Dhabi, UAE

    Faisal Shah Khan

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  1. Faisal Shah Khan
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Correspondence to Faisal Shah Khan.

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Khan, F.S. Dominant strategies in two-qubit quantum computations. Quantum Inf Process 14, 1799–1808 (2015). https://doi.org/10.1007/s11128-015-0945-9

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  • DOI: https://doi.org/10.1007/s11128-015-0945-9

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