{
  "abstract": "Pure two-qubit entanglement is usually characterized by scalar quantities such as concurrence. Here we show that it also has a natural geometric form. In the Pauli correlation tensor, maximally entangled states appear as improper orthogonal maps between two local Bloch spheres. These maps are roto-reflections. For partially entangled pure states, the same roto-reflection geometry is recovered after separating the contraction associated with concurrence. We call the corresponding geometric object the Entanglement Roto-Reflection Plane (ERRP). It organizes the maximally correlated directions of the two-qubit state and provides a covariant geometric complement to the scalar magnitude of entanglement. We further illustrate the usefulness of this geometry through partial transposition, where it provides a direct construction of the maximally entangled negative eigenvector and a geometric interpretation of negativity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.12637",
  "author_total": 2,
  "authors": [
    {
      "name": "Stanislav Filatov"
    },
    {
      "name": "Marcis Auzinsh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/daer3vhvarsj6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.12637",
  "fulltext_url": null,
  "id": "daer3vhvarsj6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.12637",
  "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": "W7164499987",
  "pdf_url": "https://arxiv.org/pdf/2606.12637",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/daer3vhvarsj6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2606.12637",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.12637"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Roto-Reflection Geometry of Pure Two-Qubit Entanglement",
  "title_text": "Roto-Reflection Geometry of Pure Two-Qubit Entanglement",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/daer3vhvarsj6",
  "venue": "arXiv",
  "versions": []
}