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stab_47_3_3, stab_48_3_3, generalized triorthogonal codes (arXiv:2610.09341, 2609.30860, 2606.07734) - #395

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paper/2610.09341
Oct 13, 2026
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valbert4 merged 12 commits into
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paper/2610.09341

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@valbert4 valbert4 commented Oct 9, 2026

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New stab_47_3_3: [[47,3,3]] generalized triorthogonal CCZ distillation code, a shortening of the [[48,3,4]] code
New stab_48_3_3: [[48,3,3]] code whose logical CCZ is a T/T† pattern, with FG48 (PG(5,2) minus a solid) stabilizers
Edited quantum_triorthogonal: widened to generalized triorthogonal codes; Campbell-Howard conditions; distillation bounds; classification and tabulation notes
Edited qudit_triorthogonal: qualitative definition containing the qubit case, restored as parent of quantum_triorthogonal; arXiv:2610.08012 variant
Edited campbell_howard: moved to k-orthogonal/, now a child of quantum_triorthogonal
Edited stab_49_1_5, stab_15_1_3: active-qubit counts with mid-circuit qubit reuse
Edited quantum_repetition: Pauli-product rotation circuits for logical T and their link to triorthogonal distillation
https://arxiv.org/abs/2610.09341 https://arxiv.org/abs/2609.30860 https://arxiv.org/abs/2606.07734

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Tamara and others added 8 commits October 8, 2026 21:19
…b_49_1_5, stab_15_1_3, quantum_repetition (arXiv:2610.09341, arXiv:2609.30860, arXiv:2606.07734)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…iewer fixes (arXiv:2610.09341, arXiv:2609.30860, arXiv:2606.07734)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…arXiv:2610.09341, arXiv:2606.07734)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…d (arXiv:2610.09341, arXiv:2606.07734)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…of quantum_triorthogonal (arXiv:2610.09341)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…tion, variant sentence (arXiv:2610.08012)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…rrespondence (arXiv:2107.09684, arXiv:2609.30860)

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/magic/k-orthogonal/quantum_k-orthogonal.yml Outdated
Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml Outdated
Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml Outdated
Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/stab_48_3_3.yml Outdated

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🟡 Changes recommended

Opening-summary placement, feature categorization, and unsupported computed claims need correction.

5 open findings
What changed in this PR

Adds generalized triorthogonal-code coverage and related distillation results.

Changes:

  • Adds ([[47,3,3]]) and ([[48,3,3]]) code entries.
  • Expands triorthogonal definitions, classifications, and hierarchy relations.
  • Documents compact distillation circuits and repetition-code constructions.
File Description
qudit_triorthogonal.yml Expands prime-qudit definitions.
stab_49_1_5.yml Adds active-qubit count.
stab_48_3_3.yml Adds the new 48-qubit code.
stab_47_3_3.yml Adds the new 47-qubit code.
quantum_triorthogonal.yml Covers generalized triorthogonal codes.
quantum_k-orthogonal.yml Adds the RM-code relationship.
campbell_howard.yml Reparents the family.
stab_15_1_3.yml Adds active-qubit reuse results.
quantum_repetition.yml Adds Pauli-product rotation circuits.

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Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/stab_47_3_3.yml
Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml Outdated
Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/stab_47_3_3.yml
Comment thread codes/quantum/qubits/stabilizer/magic/k-orthogonal/stab_48_3_3.yml
Comment thread codes/quantum/qudits/stabilizer/magic/qudit_triorthogonal.yml
Co-authored-by: valbert4 <8660306+valbert4@users.noreply.github.com>
Co-authored-by: valbert4 <8660306+valbert4@users.noreply.github.com>
Tamara and others added 2 commits October 13, 2026 05:55
…iew comments (general-k RM cousin, merged classification note, drop vacuous protection, define solid)

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
@valbert4
valbert4 merged commit 1338e22 into main Oct 13, 2026
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3 participants