{
  "abstract": "Positive-definite neural-network quantum states cannot directly represent the ground state of the PXP Hamiltonian, since the ground-state wavefunction carries a nontrivial relative-sign structure. Building on the chiral symmetry of the PXP Hamiltonian, we show that this sign structure is fixed exactly by the parity of the total up-spin number: a diagonal unitary transformation that assigns a sign to each spin configuration according to this parity maps the PXP Hamiltonian to its negative, rendering the transformed Hamiltonian stoquastic on the Rydberg-blockaded Hilbert space. Since the configuration graph of allowed configurations is connected, the Perron-Frobenius theorem guarantees a unique, strictly positive ground state of the transformed Hamiltonian, yielding an exact sign rule for the ground state of the original Hamiltonian in terms of the parity of the up-spin number. Variational Monte Carlo performed directly on the transformed Hamiltonian with a positive-definite ansatz therefore requires no architecture-specific modification to represent the true ground state. We evaluate the performance of this formulation using five representative neural-network quantum state architectures, SineKAN, reflection-symmetrized SineKAN, RBM, MLP, and LSTM, for different chain lengths.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00603",
  "author_total": 2,
  "authors": [
    {
      "name": "Jun Sur Richard Park"
    },
    {
      "name": "Kwangmin Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d40zdg05r12nk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00603",
  "fulltext_url": null,
  "id": "d40zdg05r12nk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00603",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00603",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d40zdg05r12nk.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00603",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00603"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Implications of the PXP ground-state sign structure for neural-network variational Monte Carlo",
  "title_text": "Implications of the PXP ground-state sign structure for neural-network variational Monte Carlo",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:17Z",
  "url": "https://research.draconitic.com/paper/d40zdg05r12nk",
  "venue": "arXiv",
  "versions": []
}