{
  "abstract": "The Schrödinger wavefunction is ubiquitous in quantum mechanics, quantum chemistry, and bosonic quantum information theory. Its zero-set for fermionic systems is well-studied and central for determining chemical properties, yet for bosonic systems the zero-set is less understood, especially in the context of characterizing non-classicality. Here we study the zeros of such wavefunctions and give them a novel information-theoretic interpretation. Our main technical result is showing that the wavefunction of most bosonic quantum systems can be extended to a holomorphic function over the complex plane, allowing the application of powerful techniques from complex analysis. As a consequence, we prove a version of Hudson's theorem for the wavefunction and characterize Gaussian dynamics as classical motion of the wavefunction zeros. Our findings suggest that the non-Gaussianity of quantum optical states can be detected by measuring a single quadrature of the electromagnetic field, which we demonstrate in a companion paper [arXiv:2507.23005]. More generally, our results show that the non-Gaussian features of bosonic quantum systems are encoded in the zeros of their wavefunction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2507.23468",
  "author_total": 5,
  "authors": [
    {
      "name": "Sacha Cerf"
    },
    {
      "name": "Clara Wassner"
    },
    {
      "name": "Jack Davis"
    },
    {
      "name": "Francesco Arzani"
    },
    {
      "name": "Ulysse Chabaud"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/74snve9ghz2dt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2507.23468",
  "fulltext_url": null,
  "id": "74snve9ghz2dt",
  "issns": [],
  "landing_url": "https://hal.science/hal-05732599v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.qphy"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W4416547861",
  "pdf_url": "https://hal.science/hal-05732599/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/74snve9ghz2dt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:21Z",
      "native_id": "hal-05732599",
      "source": "hal",
      "url": "https://hal.science/hal-05732599v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:1.phys.qphy",
      "subfield": "quantum"
    }
  ],
  "title": "On the complex zeros of the wavefunction",
  "title_text": "On the complex zeros of the wavefunction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:21Z",
  "url": "https://research.draconitic.com/paper/74snve9ghz2dt",
  "venue": "HAL",
  "versions": []
}