Bivariate Bicycle Codes over Group Algebras

arXiv:2609.36213 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Sparsity — 4× in this paper · explained in 4 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Verifier — 3× in this paper · explained in 2 episodes
• CSS Codes — 2× in this paper · explained in 2 episodes
• Graph Construction — 1× in this paper · explained in 3 episodes

Sources

• Sequences of Bivariate Bicycle Codes from Covering Graphs
• Abelian and non-abelian quantum two-block codes
• Self-dual Stacked Quantum Low-Density Parity-Check Codes

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