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arXiv · 2304.08420

A quantum advantage over classical for local max cut

Charlie Carlson·Zackary Jorquera·Alexandra Kolla·Steven Kordonowy
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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.

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Charlie Carlson, Zackary Jorquera, Alexandra Kolla, Steven Kordonowy. 2023-04-17. A quantum advantage over classical for local max cut. https://arxiv.org/abs/2304.08420

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