{
  "abstract": "Universal quantum computation with continuous variables cannot be attained solely with a set of Gaussian operations, it requires the addition of a non-Gaussian element, at least of third order in the quadrature operators, such as the cubic phase state. In this work, we present a method to generate a quantum state in the vibrational mode of a trapped ion that exhibits characteristics compatible with the cubic phase state, such as the distinctive oscillating pattern in its Wigner function. This state emerges from the nonlinear Jaynes-Cummings interaction native to the trapped-ion model, and under the assumption of an initial coherent vibrational state with a large occupation number. Consequently, the evolved vibrational state approximates the cubic phase state with high fidelity, and we use the variance of a nonlinear combination of the quadratures to characterize it. Finally, we provide an analytical expression for its cubicity that shows the high performance of the approximate vibrational cubic phase state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03032",
  "author_total": 2,
  "authors": [
    {
      "name": "C. Ventura-Velázquez"
    },
    {
      "name": "Juan Mauricio Torres"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2n4kzcracydrm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03032",
  "fulltext_url": null,
  "id": "2n4kzcracydrm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03032",
  "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 Information and Cryptography"
    ]
  ],
  "openalex": "W7208782671",
  "pdf_url": "https://arxiv.org/pdf/2609.03032",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2n4kzcracydrm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.03032",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03032"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Approximate cubic phase states in a trapped ion",
  "title_text": "Approximate cubic phase states in a trapped ion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/2n4kzcracydrm",
  "venue": "arXiv",
  "versions": []
}