{
  "annotation_id": "3f1d5e34-56d7-4233-b7cc-8ec70aadb039",
  "date_created": "2026-03-02T18:02:27.299000Z",
  "date_modified": "2026-03-02T18:02:27.299000Z",
  "file_hash": "31ccfc01f9fcacc36beeb6aaa3868e68c5852651367f9e080b5e041d092d6bc8",
  "private": false,
  "record": {
    "abstract": "We investigate the von Neumann entropy of a block of subsystem for the\nvalence-bond solid (VBS) state with general open boundary conditions. We show\nthat the effect of the boundary on the von Neumann entropy decays exponentially\nfast in the distance between the subsystem considered and the boundary sites.\n  Further, we show that as the size of the subsystem increases, its von Neumann\nentropy exponentially approaches the summation of the von Neumann entropies of\nthe two ends, the exponent being related to the size. In contrast to critical\nsystems, where boundary effects to the von Neumann entropy decay slowly, the\nboundary effects in a VBS, a non-critical system, decay very quickly. We also\nstudy the entanglement between two spins.\n  Curiously, while the boundary operators decrease the von Neumann entropy of L\nspins, they increase the entanglement between two spins.",
    "arxiv_id": "quant-ph/0605133",
    "authors": [
      "Heng Fan",
      "Vladimir Korepin",
      "Vwani Roychowdhury",
      "Christopher Hadley",
      "Sougato Bose"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevB.76.014428",
    "journal_ref": "Phys. Rev. B 76, 014428 (2007).",
    "title": "Boundary effects to the entanglement entropy and two-site entanglement   of the spin-1 valence-bond solid",
    "url": "https://arxiv.org/abs/quant-ph/0605133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6c3b94d4-3e46-4bad-8ed3-2e56509e0db7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}