{ "id": "2309.13961", "version": "v1", "published": "2023-09-25T08:53:54.000Z", "updated": "2023-09-25T08:53:54.000Z", "title": "A hybrid quantum-classical approach to warm-starting optimization", "authors": [ "Vanessa Dehn", "Thomas Wellens" ], "comment": "11 pages, 6 figures", "categories": [ "quant-ph" ], "abstract": "The Quantum Approximate Optimization Algorithm (QAOA) is a promising candidate for solving combinatorial optimization problems more efficiently than classical computers. Recent studies have shown that warm-starting the standard algorithm improves the performance. In this paper we compare the performance of standard QAOA with that of warm-start QAOA in the context of portfolio optimization and investigate the warm-start approach for different problem instances. In particular, we analyze the extent to which the improved performance of warm-start QAOA is due to quantum effects, and show that the results can be reproduced or even surpassed by a purely classical preprocessing of the original problem followed by standard QAOA.", "revisions": [ { "version": "v1", "updated": "2023-09-25T08:53:54.000Z" } ], "analyses": { "keywords": [ "hybrid quantum-classical approach", "warm-starting optimization", "quantum approximate optimization algorithm", "standard qaoa", "warm-start qaoa" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }