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A quantum advantage over classical for local max cut

Quantum Physics 2023-09-18 v4

Abstract

We compare the performance of a quantum local algorithm to a similar classical counterpart on a well-established combinatorial optimization problem LocalMaxCut. We show that a popular quantum algorithm first discovered by Farhi, Goldstone, and Gutmannn [1] called the quantum optimization approximation algorithm (QAOA) has a computational advantage over comparable local classical techniques on degree-3 graphs. These results hint that even small-scale quantum computation, which is relevant to the current state-of the art quantum hardware, could have significant advantages over comparably simple classical computation.

Keywords

Cite

@article{arxiv.2304.08420,
  title  = {A quantum advantage over classical for local max cut},
  author = {Charlie Carlson and Zackary Jorquera and Alexandra Kolla and Steven Kordonowy},
  journal= {arXiv preprint arXiv:2304.08420},
  year   = {2023}
}
R2 v1 2026-06-28T10:08:38.499Z