{
 "schema_version": "0.1",
 "name": "[[4,2,2]] rotated toric code (2x2 torus)",
 "code_type": "CSS",
 "n": 4,
 "k": 2,
 "checks": {
  "X": [
   [
    0,
    1,
    2,
    3
   ],
   [
    0,
    1,
    2,
    3
   ]
  ],
  "Z": [
   [
    0,
    1,
    2,
    3
   ],
   [
    0,
    1,
    2,
    3
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    0,
    3
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    0,
    3
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Rotated toric code on the periodic 2x2 lattice: all plaquette checks, (i+j) even -> X; distance 2 (cycle lengths).",
  "references": [
   "arXiv:quant-ph/9707021"
  ],
  "date": "2026-09-20",
  "notes": "Rotated surface/toric ladder fill: standard topological configuration, distance exact by construction (a row or column of plaquettes is a weight-d logical; none lighter exists). Staged for review; novelty vs the wider literature unverified beyond the cited family origin."
 },
 "family": "topological",
 "locality": {
  "coordinates": [
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    0.0
   ],
   [
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   ],
   [
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   ],
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  "interaction_radius": 1.4142135623730951,
  "layers": 1
 }
}