SWhat changed
Lifted products over nonabelian groups yield quantum LDPC code families with positive constant rate and minimum distance linear in block length. A related construction also yields classical locally testable LDPC codes with constant rate, relative distance, query complexity and soundness.
Scientific scope
Lifted products over nonabelian groups yield quantum LDPC code families with positive constant rate and minimum distance linear in block length. A related construction also yields classical locally testable LDPC codes with constant rate, relative distance, query complexity and soundness. Quantum local testability is not proved here: the constant-query testability theorem is classical. Linear-time adversarial quantum decoding is a conjecture in this version. Constants depend on the chosen rate and field; no geometrically two-dimensional implementation, practical threshold, or rate-independent distance constant is claimed.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. Quantum local testability is not proved here: the constant-query testability theorem is classical. Linear-time adversarial quantum decoding is a conjecture in this version. Constants depend on the chosen rate and field; no geometrically two-dimensional implementation, practical threshold, or rate-independent distance constant is claimed.
Contributors
- The named authors in the research record · SCIENCE: Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.
Provisional WRS assessment, edition 2026-10-23.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
Full scientific record · Browse contribution grades · Request a correction