Random cubic qutrit codes in 3D retain no-string logical operators but lack self-similar fractal ones, showing degeneracy exponents k=2 (odd L) and k=4 (even L) with plane-logical operators spanning the space.
Handbook of Error-Correcting Codes
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Barcode scans, clear phone calls, reliable data storage, satellite communication, and large-scale quantum computation are all made possible by error correction. We present a handbook version of The Error Correction Zoo, a curated reference of methods for protecting classical or quantum information from errors during storage and transmission. The handbook includes descriptions of these error-correcting codes and a classification according to the symbols they use. It also catalogues relations among codes and related objects such as sphere packings, lattices, designs, groups, and classical and quantum phases of matter. The collection is intended both as a rigorous reference and as a practical aid for tracing the web of code relationships and uncovering new connections.
fields
quant-ph 2years
2026 2representative citing papers
Repetition-code encoding before measurement improves readout fidelity on IBM superconducting and Quantinuum trapped-ion processors, with larger code distances helping trapped ions more than superconductors.
citing papers explorer
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Random Local Stabilizer Codes in Three Dimensions without String or Self-Similar Fractal Logical Operators
Random cubic qutrit codes in 3D retain no-string logical operators but lack self-similar fractal ones, showing degeneracy exponents k=2 (odd L) and k=4 (even L) with plane-logical operators spanning the space.
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Repetition-code-based readout error detection and correction across hardware platforms and generations
Repetition-code encoding before measurement improves readout fidelity on IBM superconducting and Quantinuum trapped-ion processors, with larger code distances helping trapped ions more than superconductors.