Low-overhead Magic State Circuits with Transversal CNOTs
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909874289377280 |
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| author | Fazio, Nicholas Webster, Mark Cai, Zhenyu |
| author_facet | Fazio, Nicholas Webster, Mark Cai, Zhenyu |
| contents | With the successful demonstration of transversal CNOTs in many recent experiments, it is the right moment to examine its implications on one of the most critical parts of fault-tolerant computation -- magic state preparation. Using an algorithm that can recompile and simplify a circuit of consecutive multi-qubit phase rotations, we manage to construct fault-tolerant circuits for CCZ, CS and T states with much lower CNOT depths and qubit counts than before and minimal T-depth for the given workspace. These circuits can play crucial roles in fault-tolerant computation with transversal CNOTs, and we hope that the algorithms and methods developed in this paper can be used to further simplify other protocols in similar contexts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-overhead Magic State Circuits with Transversal CNOTs Fazio, Nicholas Webster, Mark Cai, Zhenyu Quantum Physics With the successful demonstration of transversal CNOTs in many recent experiments, it is the right moment to examine its implications on one of the most critical parts of fault-tolerant computation -- magic state preparation. Using an algorithm that can recompile and simplify a circuit of consecutive multi-qubit phase rotations, we manage to construct fault-tolerant circuits for CCZ, CS and T states with much lower CNOT depths and qubit counts than before and minimal T-depth for the given workspace. These circuits can play crucial roles in fault-tolerant computation with transversal CNOTs, and we hope that the algorithms and methods developed in this paper can be used to further simplify other protocols in similar contexts. |
| title | Low-overhead Magic State Circuits with Transversal CNOTs |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.10291 |