Transversal Toffoli-gate in Hybrid-code System
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912704581599232 |
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| author | Jiao, Dawei Bayanifar, Mahdi Ashikhmin, Alexei Tirkkonen, Olav |
| author_facet | Jiao, Dawei Bayanifar, Mahdi Ashikhmin, Alexei Tirkkonen, Olav |
| contents | We study the transversality of the Toffoli gate in a hybrid-code system that employs two quantum error correction codes with special structure. We find that a system using a triorthogonal code with its paired code supports a fully transversal implementation of the Toffoli gate. Through circuit-level analysis, we prove the transversality of the Toffoli operation in this system. Based on this hybrid-code framework, we propose a Toffoli state distillation protocol that does not rely on pre-distilled $\mathbf{T}$-gate magic states. In our approach, the Toffoli state is directly distilled layer by layer within the hybrid-code system using only transversal operations. Numerical simulations demonstrate that our method uses approximately 50\% fewer qubit resources than previously reported protocols. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09265 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transversal Toffoli-gate in Hybrid-code System Jiao, Dawei Bayanifar, Mahdi Ashikhmin, Alexei Tirkkonen, Olav Quantum Physics We study the transversality of the Toffoli gate in a hybrid-code system that employs two quantum error correction codes with special structure. We find that a system using a triorthogonal code with its paired code supports a fully transversal implementation of the Toffoli gate. Through circuit-level analysis, we prove the transversality of the Toffoli operation in this system. Based on this hybrid-code framework, we propose a Toffoli state distillation protocol that does not rely on pre-distilled $\mathbf{T}$-gate magic states. In our approach, the Toffoli state is directly distilled layer by layer within the hybrid-code system using only transversal operations. Numerical simulations demonstrate that our method uses approximately 50\% fewer qubit resources than previously reported protocols. |
| title | Transversal Toffoli-gate in Hybrid-code System |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.09265 |