{
  "annotation_id": "985ce39d-76cb-446d-9fd1-cfd33bae96bb",
  "date_created": "2026-03-02T18:01:44.865000Z",
  "date_modified": "2026-03-02T18:01:44.865000Z",
  "file_hash": "2fca7094776c1d02d210b2453f7a99ea1adcd9f06fb760619eb420a382dcd00f",
  "private": false,
  "record": {
    "abstract": "Continuing the study of mixed-state entanglement in terms of\nopposite-subsystem observables the measurement of one of which amounts to the\nsame as that of the other (so-called twins), begun in a recent article,\nso-called strong twin events, which imply biorthogonal mixing of states, are\ndefined and studied. It is shown that for each mixed state there exists a\nSchmidt canonical (super state vector) expansion in terms of Hermitian\noperators, and that it can be the continuation of the mentioned biorthogonal\nmixing due to strong twins. The case of weak twins and nonhermitian Schmidt\ncanonical expansion is also investigated. A necessary and sufficient condition\nfor the existence of nontrivial twins for separable states is derived.",
    "arxiv_id": "quant-ph/0106101",
    "authors": [
      "F. Herbut"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Strong twin events in mixed-state entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0106101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8414fc42-00fc-45f3-bd9e-73b3a66dc401",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}