Controlled Gates in the Clifford Hierarchy
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913752775917568 |
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| author | Anderson, Jonas T. Weippert, Matthew |
| author_facet | Anderson, Jonas T. Weippert, Matthew |
| contents | In this note we prove a necessary set of conditions which must be satisfied by any controlled gate in the qubit Clifford Hierarchy. These conditions are straightforward to derive yet quite restricting. We also extend our proofs to gates composed of certain direct sums of unitaries. Finally, we provide some evidence that these conditions are also sufficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Controlled Gates in the Clifford Hierarchy Anderson, Jonas T. Weippert, Matthew Quantum Physics In this note we prove a necessary set of conditions which must be satisfied by any controlled gate in the qubit Clifford Hierarchy. These conditions are straightforward to derive yet quite restricting. We also extend our proofs to gates composed of certain direct sums of unitaries. Finally, we provide some evidence that these conditions are also sufficient. |
| title | Controlled Gates in the Clifford Hierarchy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.04711 |