{
  "abstract": "The ability to engineer and control quantum states of many-body systems is a central challenge in quantum information science. For a register of $N$ qubits, the full Hilbert space dimension grows exponentially as $2^N$, rendering generic state preparation and control infeasible without exploiting structure or symmetry. A particularly important and physically motivated restriction is to the fully symmetric subspace, spanned by the Dicke states, which are simultaneous eigenstates of collective spin $J=N/2$. Ensembles of Rydberg atoms interacting via electric dipoles in two-dimensional tweezer arrays form a promising platform for achieving such control. However, the finite range of dipole-dipole interactions poses a challenge to generating and controlling the Dicke manifold because the Hamiltonian incurs leakage from the computational subspace. To counteract this leakage, we perform quantum optimal control algorithms on a truncated Hilbert space according to our newly developed method of ``irrep distillation'' (IRD), which captures the process by which the symmetric subspace couples to leakage error-spaces, using only linear-scaling Hilbert dimension. We implement gradient ascent pulse engineering (GrAPE) on control schemes with little or no local addressing, to generate resourceful states like Greenberger-Horne-Zeilinger, Dicke, and extremal quantum states. We benchmark each scheme of IRD-GrAPE for its quantum speed limit (QSL), as well as exactly testing pulse fidelities on small system sizes and predicting fidelities using higher-order IRD on larger systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.02283",
  "author_total": 4,
  "authors": [
    {
      "name": "Ivy Pannier-Günther"
    },
    {
      "name": "Vikas Buchemmavari"
    },
    {
      "name": "Pablo M. Poggi"
    },
    {
      "name": "Ivan H. Deutsch"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2jh87m21j24vz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.02283",
  "fulltext_url": null,
  "id": "2jh87m21j24vz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.02283",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.02283",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2jh87m21j24vz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2606.02283",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.02283"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays",
  "title_text": "Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/2jh87m21j24vz",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/y9rl-cjym",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}