{
  "annotation_id": "c08bc9bb-6dd0-4a26-b363-f51ae4b494e3",
  "date_created": "2026-03-02T18:02:03.629000Z",
  "date_modified": "2026-03-02T18:02:03.629000Z",
  "file_hash": "c61b831475dd6ba523ff5963e4f82766939083b16ca6c1a289fa16aad6dee2c5",
  "private": false,
  "record": {
    "abstract": "This paper focuses on the geometric phase of entangled states of bi-partite\nsystems under bi-local unitary evolution. We investigate the relation between\nthe geometric phase of the system and those of the subsystems. It is shown that\n(1) the geometric phase of cyclic entangled states with non-degenerate\neigenvalues can always be decomposed into a sum of weighted non-modular pure\nstate phases pertaining to the separable components of the Schmidt\ndecomposition, though the same cannot be said in the non-cyclic case, and (2)\nthe geometric phase of the mixed state of one subsystem is generally different\nfrom that of the entangled state even by keeping the other subsystem fixed, but\nthe two phases are the same when the evolution operator satisfies conditions\nwhere each component in the Schmidt decomposition is parallel transported.",
    "arxiv_id": "quant-ph/0309130",
    "authors": [
      "D. M. Tong",
      "E. Sj\u00f6qvist",
      "L. C. Kwek",
      "C. H. Oh",
      "M. Ericsson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.022106",
    "journal_ref": "Phys. Rev. A 68, 022106 (2003)",
    "title": "Relation between geometric phases of entangled bi-partite systems and   their subsystems",
    "url": "https://arxiv.org/abs/quant-ph/0309130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e831746-34a0-4de5-8d43-3ded28570a4b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}