Good Quantum Locally Testable Codes from Product Expansion

arXiv:2609.26735 · quant-ph, cs.CC, cs.IT, math.IT · Submitted 2026-09-22 · Read on arXiv

quant-ph, cs.CC, cs.IT, math.IT

Submitted: 2026-09-22

Updated: 2026-09-22

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

Terminology

• CSS Codes — 2× in this paper · explained in 2 episodes
• IEEE Symposium on Foundations of Computer Science — 2× in this paper
• Query Complexity — 2× in this paper · explained in 2 episodes
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Generalization — 1× in this paper · explained in 13 episodes
• Sheaf Codes — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Low Acceptance Agreement Tests via Bounded-Degree Symplectic HDXs
• Quantum Codes from High-Dimensional Manifolds
• Maximally Extendable Sheaf Codes

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