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[[7,1,3]] d =
n
7
k
1
d
3
kd²/n
1.286
w
4
g
0.321
r
2.0
layers
1

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Distance

d_X 3 · witness weight 3 (claimed exact)
witness operator (support, 3 qubits)
[1, 3, 5]
d_Z 3 · witness weight 3 (claimed exact)
witness operator (support, 3 qubits)
[2, 4, 5]
certificate exact, d = 3 · scipy/HiGHS MILP
X: min over 1 Z-logical cosets = 3, all proven; Z: min over 1 X-logical cosets = 3, all proven

Verified 2D layout

as measured by the verifier: every check drawn over the submitted coordinates; the interaction radius is the longest dashed pair
r = 2
check (X = Z, self-dual)qubit site (7)dashed: the pair setting the interaction radiushover a check to isolate its qubits; click to pin — repeated clicks cycle through overlapping checks; click empty space to release

Construction & provenance

authors Steane, Andrew M.
provenance literature baseline
construction Steane code: the distance-3 2D color code.
model classical construction (no AI model)
reference arXiv:quant-ph/9601029
date 1996-01-29
notes Distance is exact by construction. 2D layout added 2026-07-23: compact unit-spaced triangular patch (qubit 6, shared by all three faces, at the centre); single layer, measured interaction radius 2.0.
family topological (a tag, not a ranking)
locality 2D-local single (computed from the layout)
weight class weight ≤ 4 (computed)

How this code was found

no research note was staged with this submission — notes are requested for new submissions (notes/README.md)

Parity checks

X-checks 3 · Z-checks 3
H_X (3 checks, sparse supports)
[3, 4, 5, 6] [1, 2, 5, 6] [0, 2, 4, 6]
H_Z (3 checks, sparse supports)
[3, 4, 5, 6] [1, 2, 5, 6] [0, 2, 4, 6]
raw submission JSON