{
  "annotation_id": "226f8a0e-1df7-4ad0-acc7-14174f6f05b5",
  "date_created": "2026-03-02T18:02:34.531000Z",
  "date_modified": "2026-03-02T18:02:34.531000Z",
  "file_hash": "eb8145ba40053bad805110e05a9bcdd8e35770a48fe78aea3f7fcf8dd5a0f593",
  "private": false,
  "record": {
    "abstract": "Perturbation theory in quantum mechanics studies how quantum systems interact\nwith their environmental perturbations. Harmonic perturbation is a rare special\ncase of time-dependent perturbations in which exact analysis exists. Some\nimportant technology advances, such as masers, lasers, nuclear magnetic\nresonance, etc., originated from it. Here we add quantum computation to this\nlist with a theoretical demonstration. Based on harmonic perturbation, a\nquantum mechanical algorithm is devised to search the ground state of a given\nHamiltonian. The intrinsic complexity of the algorithm is continuous and\nparametric in both time T and energy E. More precisely, the probability of\nlocating a search target of a Hamiltonian in N-dimensional vector space is\nshown to be 1/(1+ c N E^{-2} T^{-2}) for some constant c. This result is\noptimal. As harmonic perturbation provides a different computation mechanism,\nthe algorithm may suggest new directions in realizing quantum computers.",
    "arxiv_id": "quant-ph/0702007",
    "authors": [
      "Jie-Hong R. Jiang",
      "Dah-Wei Chiou",
      "Cheng-En Wu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s11128-007-0062-5",
    "journal_ref": "Quantum Information Processing 6(5), (Oct. 2007) 349-362",
    "title": "Quantum Mechanical Search and Harmonic Perturbation",
    "url": "https://arxiv.org/abs/quant-ph/0702007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5931d8eb-0743-4f97-bfd0-c2d2a8eed1bb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}