Low-Weight Canonical Logical Bases from Pair-Partition Codes

arXiv:2609.35601 · quant-ph, cs.IT, math.IT · Submitted 2026-09-28 · Read on arXiv

quant-ph, cs.IT, math.IT

Submitted: 2026-09-28

Updated: 2026-09-28

Comments: 13 pages, 2 tables

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• CSS Codes — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Hamming Distance — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Stabilizer Codes and Quantum Error Correction
• Design Principles for Ultra-High-Rate Quantum Codes
• Pair-Partition Constructions for CPM-Based Quantum LDPC Codes

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