{
  "abstract": "Preparation of optimal measurement states is a key requirement in quantum metrology utilizing squeezed states. Besides positioning the mean state, such preparation requires proper alignment of the squeezing ellipse. We discuss a geometric framework that transforms an initially misaligned squeezed input into a measurement-optimal state in SU(2)-symmetric systems. Within this framework, the orientation of the squeezing ellipse constitutes an additional geometric degree of freedom and evolves as the mean state follows a controlled trajectory on the unit sphere. The resulting rotation of the ellipse depends on the chosen trajectory and is linked to the geometric phase through the evolution of the local basis. The discussed framework is applicable to different physical platforms admitting an effective SU(2) description. As a particular example, we consider polarization-squeezed light and outline a possible implementation using a continuously varying birefringent element.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.28620",
  "author_total": 2,
  "authors": [
    {
      "name": "Vsevolod Salakhutdinov"
    },
    {
      "name": "Nikolay Kalinin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ch8bfq46845hn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.28620",
  "fulltext_url": null,
  "id": "ch8bfq46845hn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.28620",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.app-ph"
    ],
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7171980170",
  "pdf_url": "https://arxiv.org/pdf/2607.28620",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ch8bfq46845hn.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:24Z",
      "native_id": "2607.28620",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.28620"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "On Optimal Measurement-State Preparation via Geometric Transport of the Squeezing Ellipse",
  "title_text": "On Optimal Measurement-State Preparation via Geometric Transport of the Squeezing Ellipse",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:35Z",
  "url": "https://research.draconitic.com/paper/ch8bfq46845hn",
  "venue": "arXiv",
  "versions": []
}