A game of quantum advantage: linking verification and simulation

@article{Frana2020AGO,
  title={A game of quantum advantage: linking verification and simulation},
  author={Daniel Stilck França and Ra{\'u}l Garc{\'i}a-Patr{\'o}n},
  journal={Quantum},
  year={2020},
  volume={6},
  pages={753}
}
We present a formalism that captures the process of proving quantum superiority to skeptics as an interactive game between two agents, supervised by a referee. Bob, is sampling from a classical distribution on a quantum device that is supposed to demonstrate a quantum advantage. The other player, the skeptical Alice, is then allowed to propose mock distributions supposed to reproduce Bob's device's statistics. He then needs to provide witness functions to prove that Alice's proposed mock… 

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