{
  "annotation_id": "2931a557-7131-4475-89f3-9cfa0414e778",
  "date_created": "2026-03-02T18:01:59.756000Z",
  "date_modified": "2026-03-02T18:01:59.756000Z",
  "file_hash": "4bf4b6a03b0539434c86434cfe97320151f4837f4adbcd3352e131420611dad8",
  "private": false,
  "record": {
    "abstract": "We present networks for directly estimating the polynomial invariants of\nmulti-party quantum states under local transformations. The structure of these\nnetworks is closely related to the structure of the invariants themselves and\nthis lends a physical interpretation to these otherwise abstract mathematical\nquantities. Specifically, our networks estimate the invariants under local\nunitary (LU) transformations and under stochastic local operations and\nclassical communication (SLOCC). Our networks can estimate the LU invariants\nfor multi-party states, where each party can have a Hilbert space of arbitrary\ndimension and the SLOCC invariants for multi-qubit states. We analyze the\nstatistical efficiency of our networks compared to methods based on estimating\nthe state coefficients and calculating the invariants.",
    "arxiv_id": "quant-ph/0308008",
    "authors": [
      "M. S. Leifer",
      "N. Linden",
      "A. Winter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.052304",
    "journal_ref": "Physical Review A 69, 052304 (2004)",
    "title": "Measuring Polynomial Invariants of Multi-Party Quantum States",
    "url": "https://arxiv.org/abs/quant-ph/0308008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b3c5e434-d9b2-437d-9a2d-f830f9ca2bdc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}