{
  "model": "J1J2",
  "lattice": "square",
  "n_sites": 64,
  "boundary": "P",
  "params": {
    "J2": 0.7
  },
  "instance_id": "J1J2/square_64_P_0.7",
  "rows": [
    {
      "energy": -133.655296,
      "sigma": null,
      "energy_variance": null,
      "dof": 64,
      "einf": 0,
      "v_score": null,
      "method": "ViT",
      "method_detail": "",
      "method_as_published": "ViT",
      "family": "transformer / ViT",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Extremely slow scaling of minimal Hamming distance in quantum sampling data, arXiv:2606.04558",
      "peer_reviewed": false,
      "source": "sweep-allresults-2026-09-28",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-28",
        "method": "source text of arXiv:2606.04558 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading",
        "reported_as": "-0.522091",
        "note": "Table I, row J2=0.70, column '8×8, ViT (this work)' | Table I prints energy per site in S.S units: its J2 = 0 QMC column equals Sandvik's exact values on Heisenberg/square_64_P and square_100_P.",
        "secondary_of": null
      },
      "compute": {
        "parameters": null,
        "gpu_hours": null,
        "device": null,
        "n_devices": null,
        "samples": 4096,
        "wall_clock": null,
        "reported_as": "\"The corresponding number of samples is\" ... \"4096.\"",
        "source": "arXiv:2606.04558, located by string match in the committed source text"
      }
    }
  ],
  "url": "https://qmbl.org/i/J1J2/square_64_P_0.7/",
  "per_site_divisor": 256,
  "per_site_label": "E/N (S.S)",
  "record": null,
  "no_record_reason": "sampled rows carry no error bar"
}