{
  "annotation_id": "fe9a208f-8926-41c9-9565-900b79b7ee22",
  "date_created": "2026-03-02T18:02:16.797000Z",
  "date_modified": "2026-03-02T18:02:16.797000Z",
  "file_hash": "0e695d9ce0eb4c676573a5094ba051fdc18f81bb405025b303b88031076b2967",
  "private": false,
  "record": {
    "abstract": "Let $|\\Psi\u003e$ be an arbitrary stabilizer state distributed between three\nremote parties, such that each party holds several qubits. Let $S$ be a\nstabilizer group of $|\\Psi\u003e$. We show that $|\\Psi\u003e$ can be converted by local\nunitaries into a collection of singlets, GHZ states, and local one-qubit\nstates. The numbers of singlets and GHZs are determined by dimensions of\ncertain subgroups of $S$. For an arbitrary number of parties $m$ we find a\nformula for the maximal number of $m$-partite GHZ states that can be extracted\nfrom $|\\Psi\u003e$ by local unitaries. A connection with earlier introduced measures\nof multipartite correlations is made. An example of an undecomposable\nfour-party stabilizer state with more than one qubit per party is given. These\nresults are derived from a general theoretical framework that allows one to\nstudy interconversion of multipartite stabilizer states by local Clifford group\noperators. As a simple application, we study three-party entanglement in\ntwo-dimensional lattice models that can be exactly solved by the stabilizer\nformalism.",
    "arxiv_id": "quant-ph/0504208",
    "authors": [
      "Sergey Bravyi",
      "David Fattal",
      "Daniel Gottesman"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2203431",
    "journal_ref": "J. Math. Phys. 47 062106 (2006)",
    "title": "GHZ extraction yield for multipartite stabilizer states",
    "url": "https://arxiv.org/abs/quant-ph/0504208"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "31608891-7a63-4f35-be68-2fe1013a48d6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}