{
  "annotation_id": "81d98423-7559-4238-983a-9717d160f242",
  "date_created": "2026-03-02T18:02:02.726000Z",
  "date_modified": "2026-03-02T18:02:02.726000Z",
  "file_hash": "a6dccb651d20e4d68a9b7e6371a623ecb1e92d927e120b6f61a7a2fcfa584383",
  "private": false,
  "record": {
    "abstract": "The key step in classical convolution and correlation algorithms, the\ncomponentwise multiplication of vectors after initial Fourier Transforms, is\nshown to be physically impossible to do on quantum states. Then this is used to\nshow that computing the convolution or correlation of quantum state\ncoefficients violates quantum mechanics, making convolution and correlation of\nquantum coefficients physically impossible.",
    "arxiv_id": "quant-ph/0309070",
    "authors": [
      "Chris Lomont"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum convolution and quantum correlation algorithms are physically   impossible",
    "url": "https://arxiv.org/abs/quant-ph/0309070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6a34abb1-3c61-4f4f-873a-2fff3ea68b84",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}