A Family of Quantum Codes with Exotic Transversal Gates
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914663941275648 |
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| author | Kubischta, Eric Teixeira, Ian |
| author_facet | Kubischta, Eric Teixeira, Ian |
| contents | Recently an algorithm has been constructed that shows the binary icosahedral group $\2I$ together with a $T$-like gate forms the most efficient single-qubit universal gate set. To carry out the algorithm fault tolerantly requires a code that implements $\ico$ transversally. However, no such code has ever been demonstrated in the literature. We fill this void by constructing a family of distance $d = 3$ codes that all implement $2I$ transversally. A surprising feature of this family is that the codes can be deduced entirely from symmetry considerations that only $2I$ affords. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07023 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Family of Quantum Codes with Exotic Transversal Gates Kubischta, Eric Teixeira, Ian Quantum Physics Recently an algorithm has been constructed that shows the binary icosahedral group $\2I$ together with a $T$-like gate forms the most efficient single-qubit universal gate set. To carry out the algorithm fault tolerantly requires a code that implements $\ico$ transversally. However, no such code has ever been demonstrated in the literature. We fill this void by constructing a family of distance $d = 3$ codes that all implement $2I$ transversally. A surprising feature of this family is that the codes can be deduced entirely from symmetry considerations that only $2I$ affords. |
| title | A Family of Quantum Codes with Exotic Transversal Gates |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.07023 |