Fold-Transversal Clifford Gates for Quantum Codes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929390109065216 |
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| author | Breuckmann, Nikolas P. Burton, Simon |
| author_facet | Breuckmann, Nikolas P. Burton, Simon |
| contents | We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical operations in suitable LDPC quantum codes using transversal gates and qubit permutations only.
To demonstrate our approach, we specifically consider a [[30, 8, 3]] hyperbolic quantum code called Bring's code. Further, we show that by restricting the logical subspace of Bring's code to four qubits, we can obtain the full Clifford group on that subspace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_06647 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fold-Transversal Clifford Gates for Quantum Codes Breuckmann, Nikolas P. Burton, Simon Quantum Physics We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical operations in suitable LDPC quantum codes using transversal gates and qubit permutations only. To demonstrate our approach, we specifically consider a [[30, 8, 3]] hyperbolic quantum code called Bring's code. Further, we show that by restricting the logical subspace of Bring's code to four qubits, we can obtain the full Clifford group on that subspace. |
| title | Fold-Transversal Clifford Gates for Quantum Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2202.06647 |