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six_semion, qcga on twisted tori, lattice entries (arXiv:2503.03827, 2312.11170, 2510.05211) - #396

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paper/2503.03827
Oct 13, 2026
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New six_semion: Z4 x Z4 modular-qudit stabilizer code realizing the six-semion topological order
Edited qcga: BB codes as lattice codes on twisted tori (topological order condition, logical dimension), parent 2d_stabilizer restored, cousin self_dual_css, check weight |A|+|B|
Edited toric: now a child of qcga (A=1+x, B=1+y on any torus)
Edited gross, bb72, bb108: check polynomials on stated tori; 2d_stabilizer parents dropped (inherited via qcga)
Edited bb288, bb90, directional: 2d_stabilizer parents dropped (inherited via qcga)
Edited stab_16_4_4, stab_18_4_4, stab_6_4_2: self-dual BB descriptions; stab_6_4_2 gains qcga parent
Edited 2d_stabilizer, translationally_invariant_stabilizer, topological: topological order condition, excitation map, finite-torus degeneracy, anyon-extraction algorithm
Edited double_semion: shifted variant, symplectic double
Edited generalized_bicycle: pointer to twisted-torus GB tables
https://arxiv.org/abs/2503.03827 https://arxiv.org/abs/2312.11170 https://arxiv.org/abs/2510.05211

🤖 Generated with Claude Code

Tamara and others added 5 commits October 11, 2026 11:15
…3827, arXiv:2312.11170, arXiv:2510.05211)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…:2503.03827, arXiv:2312.11170, arXiv:2510.05211)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…css, toric is a BB code (arXiv:2503.03827, arXiv:2510.05211)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…arXiv:2503.03827, arXiv:2510.05211, arXiv:2312.11170)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Comment thread codes/quantum/qubits/stabilizer/qldpc/balanced_product/lp/bb/directional.yml Outdated
Tamara and others added 2 commits October 13, 2026 05:41
…:2507.19430)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Resolve gross.yml changelog conflict with PR #397: keep both entries.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
@valbert4
valbert4 merged commit 9768ac4 into main Oct 13, 2026
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valbert4 pushed a commit that referenced this pull request Oct 13, 2026
Conflicts only in the _meta changelogs of topological.yml and toric.yml:
kept both entries, newest first ('2026-10-12' from this PR, then
'2026-10-11' from #396). #396's toric -> qcga parent and topological
rate sentence and #398's backfill edits both survive unchanged.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
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