Stabilizer codes of less than two dimensions have constant distance
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912287108890624 |
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| author | Baspin, Nouédyn |
| author_facet | Baspin, Nouédyn |
| contents | The surface code is a two-dimensional stabiliser code with parameters $[[n,1,Θ(\sqrt{n})]]$. To this day, no stabiliser code with growing distance is know to live in less than two dimensions. In this note we show that no such code can exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilizer codes of less than two dimensions have constant distance Baspin, Nouédyn Quantum Physics The surface code is a two-dimensional stabiliser code with parameters $[[n,1,Θ(\sqrt{n})]]$. To this day, no stabiliser code with growing distance is know to live in less than two dimensions. In this note we show that no such code can exist. |
| title | Stabilizer codes of less than two dimensions have constant distance |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.17655 |