{
  "abstract": "Complex amplitudes can be simulated over real Hilbert spaces by adjoining a two-dimensional real/imaginary degree of freedom. In a multipartite program, however, one globally shared phase tag is not a locality-preserving program transformation: every party would have to act on the same auxiliary system. We recast the distributed real simulation of multipartite quantum mechanics as a syntax-directed compiler into a real misty-state intermediate language. For $n$ parties we give explicit phase-reference codewords $|0\\rangle_{P_n}$ and $|1\\rangle_{P_n}$ on $n$ local tags and prove that the same real operator $J=XZ$ on any single tag realizes the logical action of multiplication by $i$. If a complex party-local gate is $A=A_R+iA_I$, its real translation is \\[ \\widehat A_j=A_R\\otimes I+A_I\\otimes J_j, \\] which acts only on party $j$'s data and local phase tag. We prove an intertwining theorem for arbitrary finite party-local pure-state circuits, exact preservation of computational-basis measurement probabilities, preservation of the run-time interaction graph, and one-rebit-per-party overhead. For the canonical three-party GHZ program, the translation lies entirely inside the ordinary black-and-white misty gate fragment: controlled-$J$ replaces the complex phase operation, while the invariant $J_jJ_k|0\\rangle_P=-|0\\rangle_P$ transfers the required branch sign. This yields a short correctness proof for all four promised GHZ inputs and explains the earlier 64-path cancellation calculation at a single logical phase-code boundary. We distinguish this program realification problem from the weaker task of finding any real strategy with the same correlations, and state precisely which parts are known real-Hilbert-space simulation and which parts belong to the misty-language compilation layer developed here.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25703",
  "author_total": 2,
  "authors": [
    {
      "name": "Dan-Adrian German"
    },
    {
      "name": "Tony Newton"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7c6ztgcdq1tsm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25703",
  "fulltext_url": null,
  "id": "7c6ztgcdq1tsm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25703",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.25703",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7c6ztgcdq1tsm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25703",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25703"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Distributed Phase Tags: A Locality-Preserving Realification Compiler for Misty-State Quantum Programs",
  "title_text": "Distributed Phase Tags: A Locality-Preserving Realification Compiler for Misty-State Quantum Programs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/7c6ztgcdq1tsm",
  "venue": "arXiv",
  "versions": []
}