Color code with a logical control-$S$ gate using transversal $T$ rotations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912808558395392 |
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| author | Brown, Benjamin J. |
| author_facet | Brown, Benjamin J. |
| contents | The color code has been invaluable for the development of the theory of fault-tolerant logic gates using transversal rotations. Three-dimensional examples of the color code have shown us how its structure, specifically the intersection of the supports of logical operators, can give rise to non-Clifford $T$ and $CCZ$ gates. Here we present a color code with a logical control-$S$ gate that is accomplished with transversal $T$ and $T^\dagger$ rotations on its physical qubits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15035 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Color code with a logical control-$S$ gate using transversal $T$ rotations Brown, Benjamin J. Quantum Physics The color code has been invaluable for the development of the theory of fault-tolerant logic gates using transversal rotations. Three-dimensional examples of the color code have shown us how its structure, specifically the intersection of the supports of logical operators, can give rise to non-Clifford $T$ and $CCZ$ gates. Here we present a color code with a logical control-$S$ gate that is accomplished with transversal $T$ and $T^\dagger$ rotations on its physical qubits. |
| title | Color code with a logical control-$S$ gate using transversal $T$ rotations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.15035 |