A brief history of quantum vs classical computational advantage
Quantum Physics
2026-05-26 v2 Emerging Technologies
History and Philosophy of Physics
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.
Keywords
Cite
@article{arxiv.2412.14703,
title = {A brief history of quantum vs classical computational advantage},
author = {Ryan LaRose},
journal= {arXiv preprint arXiv:2412.14703},
year = {2026}
}
Comments
32 pages, 210 references