{
  "abstract": "Entanglement and nonlocal non-stabilizerness are distinct quantum resources encoded in the Schmidt spectrum of a bipartite pure state. For qubit systems, we establish a universal quadratic constraint on their simultaneous allocation, governed by the minimum number of logical qubits required on each side to encode the occupied Schmidt support. Additional spectral constraints reveal a strong asymmetry in their allocation with the Entanglement that can exhaust the logical capacity, whereas the maximal nonlocal non-stabilizerness grows only logarithmically with it. For a tensor-network cut crossed by a single separating virtual edge, the logical capacity is determined by the occupied bond dimension. We further derive a one-sided certificate for the resources of the untruncated state from a retained Schmidt spectrum and its discarded weight. For small discarded weight, the resulting corrections are linear in that weight. These results connect a universal resource budget to resource-aware control of tensor-network truncations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31841",
  "author_total": 1,
  "authors": [
    {
      "name": "Salvatore Marco Giampaolo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4fr7373cw39vd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31841",
  "fulltext_url": null,
  "id": "4fr7373cw39vd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31841",
  "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",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214751916",
  "pdf_url": "https://arxiv.org/pdf/2609.31841",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4fr7373cw39vd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.31841",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31841"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A Universal Budget for Entanglement and Nonlocal Non-Stabilizerness",
  "title_text": "A Universal Budget for Entanglement and Nonlocal Non-Stabilizerness",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/4fr7373cw39vd",
  "venue": "arXiv",
  "versions": []
}