{
  "annotation_id": "278c4f2f-f53c-4b1a-b0d0-7de5b6f1897a",
  "date_created": "2026-03-02T18:01:45.848000Z",
  "date_modified": "2026-03-02T18:01:45.848000Z",
  "file_hash": "8f81cf437034783ee6ffa439bae5d188faf30c0685ec0e289324db54de5b6004",
  "private": false,
  "record": {
    "abstract": "The properties of deterministic LOCC transformations of three qubit pure\nstates are studied. We show that the set of states in the GHZ class breaks into\nan infinite number of disjoint classes under this type of transformation. These\nclasses are characterized by the value of a quantity that is invariant under\nthese transformations, and is defined in terms of the coefficients of a\nparticular canonical form in which only states in the GHZ class can be\nexpressed. This invariant also imposes a strong constraint on any POVM that is\npart of a deterministic protocol. We also consider a transformation generated\nby a local 2-outcome POVM and study under what conditions it is deterministic,\ni.e., both outcomes belong to the same orbit. We prove that for real states it\nis always possible to find such a POVM and we discuss analytical and numerical\nevidence that suggests that this result also holds for complex states. We study\nthe transformation generated in the space of orbits when one or more parties\napply several deterministic POVMs in succession and use these results to give a\ncomplete characterization of the real states that can be obtained from the GHZ\nstate with probability 1.",
    "arxiv_id": "quant-ph/0110179",
    "authors": [
      "Federico M. Spedalieri"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Local Deterministic Transformations of Three-Qubit Pure States",
    "url": "https://arxiv.org/abs/quant-ph/0110179"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6fe7c9a-94b8-4aa9-93b2-92f89887e01a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}