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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2509.06865 |
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| _version_ | 1866918164151926784 |
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| author | Hastings, Matthew B. |
| author_facet | Hastings, Matthew B. |
| contents | We introduce a class of cyclic quantum codes, basing the construction not on the simplicity of the stabilizers, but rather on the simplicity of preparation of a code state (at least in the absence of noise). We show how certain known codes, such as a certain family of rotated two-dimensional toric codes, fall into this class, and we also give certain other examples at small sizes found by computer search. We finally discuss fault tolerant preparation of these codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Class of Cyclic Quantum Codes Hastings, Matthew B. Quantum Physics We introduce a class of cyclic quantum codes, basing the construction not on the simplicity of the stabilizers, but rather on the simplicity of preparation of a code state (at least in the absence of noise). We show how certain known codes, such as a certain family of rotated two-dimensional toric codes, fall into this class, and we also give certain other examples at small sizes found by computer search. We finally discuss fault tolerant preparation of these codes. |
| title | A Class of Cyclic Quantum Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.06865 |