{
  "annotation_id": "7d6c5db1-ab86-42ed-a390-41b369a04e8b",
  "date_created": "2026-03-02T18:02:17.135000Z",
  "date_modified": "2026-03-02T18:02:17.135000Z",
  "file_hash": "94169ada5ed87b0e9f0f328f1ee13f898a6aa95be3375c63e8f52dfae463f002",
  "private": false,
  "record": {
    "abstract": "We define what it means for a state in a convex cone of states on a space of\nobservables to be generalized-entangled relative to a subspace of the\nobservables, in a general ordered linear spaces framework for operational\ntheories. This extends the notion of ordinary entanglement in quantum\ninformation theory to a much more general framework. Some important special\ncases are described, in which the distinguished observables are subspaces of\nthe observables of a quantum system, leading to results like the identification\nof generalized unentangled states with Lie-group-theoretic coherent states when\nthe special observables form an irreducibly represented Lie algebra. Some open\nproblems, including that of generalizing the semigroup of local operations with\nclassical communication to the convex cones setting, are discussed.",
    "arxiv_id": "quant-ph/0506099",
    "authors": [
      "Howard Barnum",
      "Gerardo Ortiz",
      "Rolando Somma",
      "Lorenza Viola"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10773-005-8009-z",
    "title": "Generalization of entanglement to convex operational theories:   Entanglement relative to a subspace of observables",
    "url": "https://arxiv.org/abs/quant-ph/0506099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c5912d1-77ce-4297-9a0d-9dcb941321d1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}