Explicit Instances of Quantum Tanner Codes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914157547225088 |
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| author | Radebold, Rebecca Katharina Bartlett, Stephen D. Doherty, Andrew C. |
| author_facet | Radebold, Rebecca Katharina Bartlett, Stephen D. Doherty, Andrew C. |
| contents | We construct several explicit instances of quantum Tanner codes, a class of asymptotically good quantum low-density parity check (qLDPC) codes. The codes are constructed using dihedral groups and random pairs of classical codes and exhibit high encoding rates, relative distances, and pseudo-thresholds. Using the BP+OSD decoder, we demonstrate good performance in the phenomenological and circuit-level noise settings, comparable to the surface code with similar distances. Finally, we conduct an analysis of the space-time overhead incurred by these codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit Instances of Quantum Tanner Codes Radebold, Rebecca Katharina Bartlett, Stephen D. Doherty, Andrew C. Quantum Physics We construct several explicit instances of quantum Tanner codes, a class of asymptotically good quantum low-density parity check (qLDPC) codes. The codes are constructed using dihedral groups and random pairs of classical codes and exhibit high encoding rates, relative distances, and pseudo-thresholds. Using the BP+OSD decoder, we demonstrate good performance in the phenomenological and circuit-level noise settings, comparable to the surface code with similar distances. Finally, we conduct an analysis of the space-time overhead incurred by these codes. |
| title | Explicit Instances of Quantum Tanner Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.05095 |