{
  "annotation_id": "46d0621d-6113-4d65-a7bd-03ca6710867f",
  "date_created": "2026-03-02T18:01:35.806000Z",
  "date_modified": "2026-03-02T18:01:35.806000Z",
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  "record": {
    "abstract": "To measure an observable of a quantum mechanical system leaves it in one of\nits eigenstates and the result of the measurement is one of its eigenvalues.\nThis process is shown to be a computational resource. It allows one, in\nprinciple, to diagonalize hermitean (N by N) matrices by quantum mechanical\nmeasurements only. To do so, one considers the given matrix as an observable of\na single spin with appropriate length s=(N-1)/2, which can be measured using a\ngeneralized Stern-Gerlach apparatus. Then, each run provides one eigenvalue of\nthe observable. As it is based on the `collapse of the wave function\u0027\nassociated with a measurement, the procedure is neither a digital nor an analog\ncalculation--it defines thus a new quantum mechanical method of computation.",
    "arxiv_id": "quant-ph/0001082",
    "authors": [
      "Stefan Weigert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/27/312",
    "journal_ref": "J. Phys. A 34 (2001) 5619",
    "title": "Quantum Diagonalization of Hermitean Matrices",
    "url": "https://arxiv.org/abs/quant-ph/0001082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ce664de5-773e-4152-8949-356bbb18437c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}