SWhat changed
Compatible nested binary linear codes produce a quantum code whose bit- and phase-error syndromes can be corrected without measuring the encoded information. The construction corrects arbitrary errors on a bounded number of physical qubits and gives asymptotically positive-rate families for a small fixed correctable error fraction.
Scientific scope
Compatible nested binary linear codes produce a quantum code whose bit- and phase-error syndromes can be corrected without measuring the encoded information. The construction corrects arbitrary errors on a bounded number of physical qubits and gives asymptotically positive-rate families for a small fixed correctable error fraction. This is a block-code construction and existence result, including the seven-qubit example, not a complete noisy-gate fault-tolerance threshold or an efficient explicit construction at every asymptotic bound. Correlated errors confined to the correctable support are allowed; transmission guarantees for errors on many qubits require extra noise assumptions.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. This is a block-code construction and existence result, including the seven-qubit example, not a complete noisy-gate fault-tolerance threshold or an efficient explicit construction at every asymptotic bound. Correlated errors confined to the correctable support are allowed; transmission guarantees for errors on many qubits require extra noise assumptions.
Contributors
- The named authors in the research record · SCIENCE: The original named human researchers developed the exact mathematical construction or framework. Composite source families retain separate original paper bylines and predecessor roles; they are not a fictional joint publication. Individual effort shares, person identity joins and nationalities are not inferred. The source reading is not independent proof certification.
- Good quantum error-correcting codes exist
- Multiple Particle Interference and Quantum Error Correction
Provisional WRS assessment, edition 2026-10-23.9. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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