The Quantum Error Correction Péclet Number: Constraint as Code
Abstract
The Knill-Laflamme conditions for quantum error correction share exact structure with the void framework's constraint specification (transparent, invariant, independent). Code distance = coupling floor (T10). Logical error rate = Pe. The fault-tolerance threshold theorem = Pe=1 phase transition. Surface codes vs color codes as competing budget strategies analogous to BCS vs cuprate superconductivity. Derives the QEC Péclet number and falsifiable predictions for decoherence, code design, and threshold behavior.
Fields of Study & Subjects
Quantum Computing Algorithms and Architecture
Quantum Information and Cryptography
Quantum many-body systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint