{
  "id": "quant-ph/0210041",
  "version": "v1",
  "published": "2002-10-06T19:58:39.000Z",
  "updated": "2002-10-06T19:58:39.000Z",
  "title": "Factorization and Entanglement in Quantum Systems",
  "authors": [
    "Jon Eakins",
    "George Jaroszkiewicz"
  ],
  "comment": "11 pages",
  "doi": "10.1088/0305-4470/36/2/315",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We discuss the question of entanglement versus separability of pure quantum states in direct product Hilbert spaces and the relevance of this issue to physics. Different types of separability may be possible, depending on the particular factorization or split of the Hilbert space. A given orthonormal basis set for a Hilbert space is defined to be of type (p,q) if p elements of the basis are entangled and q are separable, relative to a given bi-partite factorization of that space. We conjecture that not all basis types exist for a given Hilbert space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-06T19:58:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum systems",
      "entanglement",
      "direct product hilbert spaces",
      "pure quantum states",
      "orthonormal basis set"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2003,
      "month": "Jan",
      "volume": 36,
      "number": 2,
      "pages": 517
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003JPhA...36..517E"
    }
  }
}