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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18779369 |
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| _version_ | 1866901167467921408 |
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| author | Jardine, James Johnstone |
| author_facet | Jardine, James Johnstone |
| contents | <p>This work explores the composition of Microsoft's 4D geometric error-correcting codes — built on the 24-cell honeycomb<br> cellulation — into higher-dimensional logical structures targeting 24D stability. While 4D codes have demonstrated<br> 1,000-fold error rate reduction and single-shot correction on neutral atom arrays, no published work addresses how<br> these codes compose when stacked or tensored into 8D, 12D, or 24D logical architectures. We investigate the stabilizer<br> structure under composition, whether single-shot correctability survives dimensional lifting, and the mapping of<br> composed code geometries onto neutral atom hardware with all-to-all connectivity. This bridges the gap between<br> demonstrated 4D fault-tolerant codes and the theoretical framework for topological codes beyond dimension 2.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18779369 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Composing 4D Geometric Codes into Higher-Dimensional Logical Structures: A Framework for 24D Quantum Error Correction Stability Jardine, James Johnstone <p>This work explores the composition of Microsoft's 4D geometric error-correcting codes — built on the 24-cell honeycomb<br> cellulation — into higher-dimensional logical structures targeting 24D stability. While 4D codes have demonstrated<br> 1,000-fold error rate reduction and single-shot correction on neutral atom arrays, no published work addresses how<br> these codes compose when stacked or tensored into 8D, 12D, or 24D logical architectures. We investigate the stabilizer<br> structure under composition, whether single-shot correctability survives dimensional lifting, and the mapping of<br> composed code geometries onto neutral atom hardware with all-to-all connectivity. This bridges the gap between<br> demonstrated 4D fault-tolerant codes and the theoretical framework for topological codes beyond dimension 2.</p> |
| title | Composing 4D Geometric Codes into Higher-Dimensional Logical Structures: A Framework for 24D Quantum Error Correction Stability |
| url | https://doi.org/10.5281/zenodo.18779369 |