Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.13994 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917595006894080 |
|---|---|
| author | Moses, Milo Horecki, Jacek Deka, Konrad Tulowiecki, Jan |
| author_facet | Moses, Milo Horecki, Jacek Deka, Konrad Tulowiecki, Jan |
| contents | We present a discussion of the generalized Clifford group over non-cyclic finite abelian groups. These Clifford groups appear naturally in the theory of topological error correction and abelian anyon models. We demonstrate a generalized Gottesman-Knill theorem, stating that every Clifford circuit can be efficiently classically simulated. We additionally provide circuits for a universal quantum computing scheme based on local two-qudit Clifford gates and magic states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13994 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clifford circuits over non-cyclic abelian groups Moses, Milo Horecki, Jacek Deka, Konrad Tulowiecki, Jan Quantum Physics 81P45 We present a discussion of the generalized Clifford group over non-cyclic finite abelian groups. These Clifford groups appear naturally in the theory of topological error correction and abelian anyon models. We demonstrate a generalized Gottesman-Knill theorem, stating that every Clifford circuit can be efficiently classically simulated. We additionally provide circuits for a universal quantum computing scheme based on local two-qudit Clifford gates and magic states. |
| title | Clifford circuits over non-cyclic abelian groups |
| topic | Quantum Physics 81P45 |
| url | https://arxiv.org/abs/2402.13994 |