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stab_6_4_2

[[6,4,2]] skip done

[[6,4,2]] error-detecting code

Family:
small_distance/small/6/stab_6_4_2/stab_6_4_2
Hardware demos:
2
Citations:
1
Est. LoC:
300

Description

Self-complementary six-qubit code with rate 2/3 that is unique for its parameters, up to equivalence \cite[Tab. III]{arxiv:quant-ph/9608006}. Concatenations of this code with itself yield the [[6^r,4^r,2^r]] level-r \textit{many…

Introduced in: arxiv:quant-ph/9605021, arxiv:quant-ph/9702029, arxiv:quant-ph/0402171, arxiv:quant-ph/0404104

Rationale

Audit override: [[6,4,2]] is the m=3 instance of the parametric iceberg family [[2m, 2m-2, 2]] that QEC/Stabilizer/Codes/Iceberg/N.lean defines for m ≥ 2 (PR #36, merged 2026-05-24). Previous rationale: [[6,4,2]] high-rate small CSS detection code. Direct fit; trivial proof.

Scoring composite -1.00

Reuse
10/10 ×0.25
Canon
4/10 ×0.15
Hardware
4/10 ×0.15
Tract
10/10 ×0.15
Prereq
10/10 ×0.2
Effort
9/10 ×0.1