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"witness": [ 13, 46, 48, 64, 97, 99, 115, 148, 150, 166, 199, 201, 217, 250, 252, 268, 335, 386, 437, 488, 539 ] } }, "provenance": { "authors": [ "@npdeep" ], "construction": "Open-boundary weight-8 Tile CSS code with B=4 on a 14 x 14 bulk, obtained by one support swap from the published B=4 tile. The X-tile support is {h00,h03,h22,h30,v01,v11,v20,v33}; boundary truncation gives n=578 and k=18. The submitted single-layer planar layout has one qubit per site, interaction radius sqrt(37) (approximately 6.0828), and maximum stabilizer weight 8.", "references": [ "arXiv:2504.09171" ], "date": "2026-08-12", "notes": "Pareto point in the weight-8 x local-2d-bilayer track: relative to [[512,18,19]], it retains k=18 and maximum check weight 8 while trading 66 additional qubits for a one-step larger witnessed distance bound. Explicit valid X- and Z-logical witnesses have weights 20 and 21, establishing d <= 20 only; no exact-distance claim is made.", "model": "Magic State Labs (Custom) v0.1" }, "family": "tile", "locality": { "coordinates": [ [ 0.7071067811865476, 0.0 ], [ 0.7071067811865476, 1.4142135623730951 ], [ 0.7071067811865476, 2.8284271247461903 ], [ 0.7071067811865476, 4.242640687119286 ], [ 0.7071067811865476, 5.656854249492381 ], [ 0.7071067811865476, 7.0710678118654755 ], [ 0.7071067811865476, 8.485281374238571 ], [ 0.7071067811865476, 9.899494936611665 ], [ 0.7071067811865476, 11.313708498984761 ], [ 0.7071067811865476, 12.727922061357857 ], [ 0.7071067811865476, 14.142135623730951 ], [ 0.7071067811865476, 15.556349186104047 ], [ 0.7071067811865476, 16.970562748477143 ], [ 0.7071067811865476, 18.38477631085024 ], [ 0.7071067811865476, 19.79898987322333 ], [ 0.7071067811865476, 21.213203435596427 ], [ 0.7071067811865476, 22.627416997969522 ], [ 2.121320343559643, 0.0 ], [ 2.121320343559643, 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