{
  "annotation_id": "7f081546-2c7e-4779-b611-c7e671abcba9",
  "date_created": "2026-03-02T18:01:45.136000Z",
  "date_modified": "2026-03-02T18:01:45.136000Z",
  "file_hash": "8e30a2e5cf29de9616cb1ab1c09205994a11d223ec2b237539232da6c2b35bc5",
  "private": false,
  "record": {
    "abstract": "We investigate the role of entanglement in quantum phase transitions, and\nshow that the success of the density matrix renormalization group (DMRG) in\nunderstanding such phase transitions is due to the way it preserves\nentanglement under renormalization. We provide a reinterpretation of the DMRG\nin terms of the language and tools of quantum information science which allows\nus to rederive the DMRG in a physically transparent way. Motivated by our\nreinterpretation we suggest a modification of the DMRG which manifestly takes\naccount of the entanglement in a quantum system. This modified renormalization\nscheme is shown,in certain special cases, to preserve more entanglement in a\nquantum system than traditional numerical renormalization methods.",
    "arxiv_id": "quant-ph/0109024",
    "authors": [
      "Tobias J. Osborne",
      "Michael A. Nielsen"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1023/A:1019601218492",
    "journal_ref": "Quantum Information Processing, vol. 1 (1-2), pp. 45-53 (2002)",
    "title": "Entanglement, quantum phase transitions, and density matrix   renormalization",
    "url": "https://arxiv.org/abs/quant-ph/0109024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a72694c-1d48-46f4-b239-11af72dff22b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}