{
  "abstract": "We present a universal logical gate set for finite-energy Gottesman-Kitaev-Preskill (GKP) qubits encoded in the harmonic motional states of trapped neutral atoms. Internal electronic states serve as ancilla for implementing state-dependent conditional displacements in phase space, enabling arbitrary single-qubit phase gates. A Transient Rydberg excitation-mediated atomic dipole-dipole interaction enables a controlled-Z gate without invoking the blockade mechanism. The gates operate under magic-trapping conditions, allowing continuous trapping throughout the gate sequence, thereby preserving the motional encoding without intermediate measurement or feedforward. We assess the experimental feasibility of the proposed protocols using neutral $^{88}\\mathrm{Sr}$ atoms and obtain average gate fidelities of $0.986$ for single-qubit phase gates and $0.985$ for the controlled-Z gate at a finite squeezing parameter of $Δ=0.25$ (12 dB of squeezing), increasing to $0.997$ and $0.995$ respectively as $Δ$ reaches $0.1$. These results provide a route toward universal, measurement-free logical control of motional GKP qubits in neutral-atom architectures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30631",
  "author_total": 5,
  "authors": [
    {
      "name": "Alok Kumar"
    },
    {
      "name": "Aaron N. Raja"
    },
    {
      "name": "Diksha Thapliyal"
    },
    {
      "name": "Ishitwa Kumar Das"
    },
    {
      "name": "Ajay Wasan1"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ekeszhmmw10mt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30631",
  "fulltext_url": null,
  "id": "ekeszhmmw10mt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30631",
  "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",
      "3107|Cold Atom Physics and Bose-Einstein Condensates"
    ]
  ],
  "openalex": "W7204866688",
  "pdf_url": "https://arxiv.org/pdf/2608.30631",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ekeszhmmw10mt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.30631",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30631"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Deterministic Universal Logical Gates for Finite-Energy GKP Qubits in Trapped Neutral Atoms",
  "title_text": "Deterministic Universal Logical Gates for Finite-Energy GKP Qubits in Trapped Neutral Atoms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/ekeszhmmw10mt",
  "venue": "arXiv",
  "versions": []
}