No Quantum Advantage in Decoded Quantum Interferometry for MaxCut
Quantum Physics
2025-10-01 v2 Data Structures and Algorithms
Abstract
Decoded Quantum Interferometry (DQI) is a framework for approximating special kinds of discrete optimization problems that relies on problem structure in a way that sets it apart from other classical or quantum approaches. We show that the instances of MaxCut on which DQI attains a nontrivial asymptotic approximation guarantee are solvable exactly in classical polynomial time. We include a streamlined exposition of DQI tailored for MaxCut that relies on elementary graph theory instead of coding theory to motivate and explain the algorithm.
Cite
@article{arxiv.2509.19966,
title = {No Quantum Advantage in Decoded Quantum Interferometry for MaxCut},
author = {Ojas Parekh},
journal= {arXiv preprint arXiv:2509.19966},
year = {2025}
}
Comments
v2: 13 pages, included a technical correction and discussion of recent related work