{
  "abstract": "Quantum Max Cut, also known as the anti-ferromagnetic Heisenberg Hamiltonian, is a QMA-complete problem which serves as a benchmark for approximation algorithms in quantum physics. Here we develop a hybrid approximation algorithm to quantum Max Cut, which uses the natural quantum dynamics of Rydberg atom systems in combination with semidefinite programming and randomized rounding. It achieves a conditional approximation ratio of $0.651$, compared to the best-known ratio of $0.614$ that relies on semidefinite programming alone. The algorithm is robust in the sense that the advantage persists even if the annealing procedure of the Rydberg atom system obtains a state whose energy is only $89\\%$ of its true ground state energy. Our approach opens a new route for hybrid quantum-classical algorithms that combine quantum with classical optimization methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.27224",
  "author_total": 3,
  "authors": [
    {
      "name": "Tomás Crosta"
    },
    {
      "name": "Matthieu Saubanere"
    },
    {
      "name": "Felix Huber"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5b2bm9ph9xw1d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.27224",
  "fulltext_url": null,
  "id": "5b2bm9ph9xw1d",
  "issns": [],
  "landing_url": "https://hal.science/hal-05845058v1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7166063373",
  "pdf_url": "https://arxiv.org/pdf/2606.27224",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5b2bm9ph9xw1d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:03Z",
      "native_id": "hal-05845058",
      "source": "hal",
      "url": "https://hal.science/hal-05845058v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "A 0.651-approximation to quantum Max Cut via Rydberg atoms",
  "title_text": "A 0.651-approximation to quantum Max Cut via Rydberg atoms",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/5b2bm9ph9xw1d",
  "venue": "HAL",
  "versions": []
}