A brief history of quantum vs classical computational advantage

Abstract:In this review article we summarize all experiments claiming quantum computational advantage to date. Our review highlights challenges, loopholes, and refutations appearing in subsequent work to provide a complete picture of the current statuses of these experiments. In addition, we also discuss theoretical computational advantage in example problems such as approximate optimization and recommendation systems. Finally, we review recent experiments in quantum error correction -- the biggest frontier to reach experimental quantum advantage in Shor's algorithm.

Quantum Physics (quant-ph); Emerging Technologies (cs.ET); History and Philosophy of Physics (physics.hist-ph)

arXiv:2412.14703 [quant-ph]

(or arXiv:2412.14703v3 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2412.14703 Focus to learn more arXiv-issued DOI via DataCite

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