{
  "abstract": "Non-local magic quantifies the non-stabilizerness of a bipartite quantum state that cannot be removed by local unitary transformations. Despite its natural definition, its evaluation generally requires a difficult optimization over local unitaries. Here, we show that for the log-stabilizer fidelity this optimization admits an exact closed-form analytic solution depending only on the Schmidt spectrum. We then introduce the magic of purification, defined as the minimum pure-state magic over all purifications of a mixed state, and show that it naturally induces a resource theory whose free states are normalized stabilizer-code projectors. For the log-stabilizer fidelity, the magic of purification admits a distance-based formulation in terms of the Uhlmann fidelity. Remarkably, we prove that non-local magic coincides with the minimum magic of purification along the unitary orbit of the reduced density operator. Our results provide both an efficient analytical characterization and a mixed-state resource-theoretic interpretation of non-local magic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04119",
  "author_total": 3,
  "authors": [
    {
      "name": "Michele Viscardi"
    },
    {
      "name": "Lorenzo Leone"
    },
    {
      "name": "Alioscia Hamma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1qsbbrjtdbg3r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04119",
  "fulltext_url": null,
  "id": "1qsbbrjtdbg3r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04119",
  "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",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7208724068",
  "pdf_url": "https://arxiv.org/pdf/2609.04119",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1qsbbrjtdbg3r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.04119",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04119"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Non-local Magic: closed-form solution and equivalence with magic of purification",
  "title_text": "Non-local Magic: closed-form solution and equivalence with magic of purification",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/1qsbbrjtdbg3r",
  "venue": "arXiv",
  "versions": []
}