{
  "annotation_id": "b15516ae-a6d6-425a-93fc-e0234272f3d6",
  "date_created": "2026-03-02T18:02:02.268000Z",
  "date_modified": "2026-03-02T18:02:02.268000Z",
  "file_hash": "69106910a75873369cd4e8f54f9caecd5fbc5003da3ff4514481ba1b3ab70e59",
  "private": false,
  "record": {
    "abstract": "We report an efficient quantum algorithm for estimating the local density of\nstates (LDOS) on a quantum computer. The LDOS describes the redistribution of\nenergy levels of a quantum system under the influence of a perturbation.\nSometimes known as the ``strength function\u0027\u0027 from nuclear spectroscopy\nexperiments, the shape of the LDOS is directly related to the survivial\nprobability of unperturbed eigenstates, and has recently been related to the\nfidelity decay (or ``Loschmidt echo\u0027\u0027) under imperfect motion-reversal. For\nquantum systems that can be simulated efficiently on a quantum computer, the\nLDOS estimation algorithm enables an exponential speed-up over direct classical\ncomputation.",
    "arxiv_id": "quant-ph/0308164",
    "authors": [
      "Joseph Emerson",
      "Seth Lloyd",
      "David Poulin",
      "David Cory"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "nlin.CD",
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevA.69.050305",
    "journal_ref": "Phys.Rev. A69 (2004) 050305",
    "title": "Estimation of the Local Density of States on a Quantum Computer",
    "url": "https://arxiv.org/abs/quant-ph/0308164"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a54c8eb-afc0-4bf5-8caf-903fad9828fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}