{
  "annotation_id": "cce825dc-e623-4ebf-b1c1-88e41d51b905",
  "date_created": "2026-03-02T18:01:42.695000Z",
  "date_modified": "2026-03-02T18:01:42.695000Z",
  "file_hash": "dc96bf2aec7fa9a5b49eaeed0767453598171ab5a7c04e30290f876af7b32c39",
  "private": false,
  "record": {
    "abstract": "This paper is an appendix to a previous paper: quant-ph/0101123 ``Relaxation\nMethod for Calculating Quantum Entanglement\", by Robert Tucci. For certain\nmixtures of Bell basis states, namely the Werner States, we use the theoretical\nmachinery of our previous paper to derive algebraic formulas for: the pure and\nmixed minimization entanglements (i.e., E_{pure} and E_{mixed}), their optimal\ndecompositions and their entanglement operators. This complements and\ncorroborates some results that were obtained numerically but not algebraically\nin our previous paper. Some of the algebraic formulas presented here are new.\nOthers were first derived using a different method by Bennett et al in\nquant-ph/9604024.",
    "arxiv_id": "quant-ph/0103040",
    "authors": [
      "Robert R. Tucci"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Entanglement of Bell Mixtures of Two Qubits",
    "url": "https://arxiv.org/abs/quant-ph/0103040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9a0b9e2d-60f4-40a7-8540-adec7139bddc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}