{
  "abstract": "Quantum-state texture quantifies structural irregularities of a state in a selected basis and has emerged as a valuable resource for gate characterization in universal circuits. Consequently, a class of contractive distance based texture measures and a framework for constructing convex-roof extended texture measure have been proposed. Here, we extend this theory in several directions. We examine the convertibility of a pure state to any state under texture-free operations, and fully solve the deterministic transformation problem between any two states in the qubit case. We then propose two classes of texture measures: convex-function-based measures and texture cost defined via minimal cost of texture contained in pure states. Moreover, we show that every texture monotone gives rise to a non-negative function which admits the same properties as the function used in the convex-roof extension---thus providing a converse to that construction. Our work thereby offers a relatively comprehensive resource-theoretic formulation of quantum-state texture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08163",
  "author_total": 4,
  "authors": [
    {
      "name": "Yufan Lin"
    },
    {
      "name": "Yu Guo"
    },
    {
      "name": "Fei He"
    },
    {
      "name": "Shuanping Du"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9ytmv61r2x5bc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08163",
  "fulltext_url": null,
  "id": "9ytmv61r2x5bc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08163",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7212024842",
  "pdf_url": "https://arxiv.org/pdf/2609.08163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9ytmv61r2x5bc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:49Z",
      "native_id": "2609.08163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08163"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum-state texture measure and texture transformation",
  "title_text": "Quantum-state texture measure and texture transformation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:49Z",
  "url": "https://research.draconitic.com/paper/9ytmv61r2x5bc",
  "venue": "arXiv",
  "versions": []
}