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arXiv · 2307.01762

The Quantum Advantage in Binary Teams and the Coordination Dilemma: Part I

Shashank A. Deshpande·Ankur A. Kulkarni
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Abstract

We have shown that entanglement assisted stochastic strategies allow access to strategic measures beyond the classically correlated measures accessible through passive common randomness, and thus attain a quantum advantage in decentralised control. In this two part series of articles, we investigate the decision theoretic origins of the quantum advantage within a broad superstructure of problem classes. Each class in our binary team superstructure corresponds to a parametric family of cost functions with a distinct algebraic structure. In this part, identify the only problem classes that benefit from quantum strategies. We find that these cost structures admit a special decision-theoretic feature -- `the coordination dilemma'. Our analysis hence reveals some intuition towards the utility of non-local quantum correlations in decentralised control.

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Shashank A. Deshpande, Ankur A. Kulkarni. 2023-07-04. The Quantum Advantage in Binary Teams and the Coordination Dilemma: Part I. https://arxiv.org/abs/2307.01762

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