{
  "abstract": "We study the effect of quantum preconditioning on constrained combinatorial optimization problems, focusing on balanced graph bi-partitioning. The proposed approach uses two-point correlations between decision variables derived from the Quantum Approximate Optimization Algorithm (QAOA) to construct a modified objective function that is subsequently provided to mixed-integer programming (MIP) solvers. The preconditioned MIP formulation retains the original hard constraint, and all incumbent solutions are evaluated under the original objective. Computational experiments on dense, weighted complete-graph instances show that the preconditioned problem instances reach near-optimal solutions faster, with most of the benefit already realized at the shallowest QAOA depth tested. Solver callback trajectories show this arises from earlier discovery of high-quality incumbents during the solution search. These results support a hybrid optimization framework in which quantum algorithms provide problem-specific information to guide classical exact MIP solvers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28842",
  "author_total": 4,
  "authors": [
    {
      "name": "Anurag Ramesh"
    },
    {
      "name": "Bhuvanesh Sundar"
    },
    {
      "name": "Maxime Dupont"
    },
    {
      "name": "David E. Bernal Neira"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/35qt8a9r2qge9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28842",
  "fulltext_url": null,
  "id": "35qt8a9r2qge9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28842",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7204955602",
  "pdf_url": "https://arxiv.org/pdf/2608.28842",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/35qt8a9r2qge9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.28842",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28842"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum Preconditioning For Constrained Optimization Problems",
  "title_text": "Quantum Preconditioning For Constrained Optimization Problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/35qt8a9r2qge9",
  "venue": "arXiv",
  "versions": []
}