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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.17652 |
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| _version_ | 1866929528628051968 |
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| author | Kubischta, Eric Teixeira, Ian |
| author_facet | Kubischta, Eric Teixeira, Ian |
| contents | With respect to the transversal gate group (an invariant of quantum codes), we demonstrate that non-additive codes can outperform stabilizer codes. We do this by constructing spin codes that correspond to permutation-invariant multiqubit codes that can implement generalized phase gates transversally. Of particular note, we construct permutation-invariant quantum codes that implement a transversal $T$ gate using fewer qubits and with a better minimum distance than is possible with the best known stabilizer codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17652 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Permutation-Invariant Quantum Codes with Transversal Generalized Phase Gates Kubischta, Eric Teixeira, Ian Quantum Physics With respect to the transversal gate group (an invariant of quantum codes), we demonstrate that non-additive codes can outperform stabilizer codes. We do this by constructing spin codes that correspond to permutation-invariant multiqubit codes that can implement generalized phase gates transversally. Of particular note, we construct permutation-invariant quantum codes that implement a transversal $T$ gate using fewer qubits and with a better minimum distance than is possible with the best known stabilizer codes. |
| title | Permutation-Invariant Quantum Codes with Transversal Generalized Phase Gates |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.17652 |