{
  "annotation_id": "d54f3461-4d49-4864-926d-cb064d2cd7f2",
  "date_created": "2026-03-02T18:02:03.309000Z",
  "date_modified": "2026-03-02T18:02:03.309000Z",
  "file_hash": "3bc82c727b611573a8289c175fa5fcb0d9d8def910528cee790061fa646ecf3c",
  "private": false,
  "record": {
    "abstract": "This recreational paper investigates what happens if we change quantum\nmechanics in several ways. The main results are as follows. First, if we\nreplace the 2-norm by some other p-norm, then there are no nontrivial\nnorm-preserving linear maps. Second, if we relax the demand that norm be\npreserved, we end up with a theory that allows rapid solution of PP-complete\nproblems (as well as superluminal signalling). And third, if we restrict\namplitudes to be real, we run into a difficulty much simpler than the usual one\nbased on parameter-counting of mixed states.",
    "arxiv_id": "quant-ph/0401062",
    "authors": [
      "Scott Aaronson"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Is Quantum Mechanics An Island In Theoryspace?",
    "url": "https://arxiv.org/abs/quant-ph/0401062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb108900-1a0b-4d97-bb97-0dcefb3af0e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}