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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.18049 |
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| _version_ | 1866918339380510720 |
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| author | Pawlowski, Brendan |
| author_facet | Pawlowski, Brendan |
| contents | We show that any unimodular real 3-qubit gate can be expressed as the product of at most 14 CNOT gates plus single-qubit gates, improving on the bound of 16 CNOTs due to Wei and Di. Our method uses the exotic triality symmetry of $\operatorname{PSO}(8)$, and we explore some of the useful properties of this map in relation to the study of real 3-qubit gates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18049 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real 3-qubit gate decompositions via triality Pawlowski, Brendan Quantum Physics Group Theory We show that any unimodular real 3-qubit gate can be expressed as the product of at most 14 CNOT gates plus single-qubit gates, improving on the bound of 16 CNOTs due to Wei and Di. Our method uses the exotic triality symmetry of $\operatorname{PSO}(8)$, and we explore some of the useful properties of this map in relation to the study of real 3-qubit gates. |
| title | Real 3-qubit gate decompositions via triality |
| topic | Quantum Physics Group Theory |
| url | https://arxiv.org/abs/2512.18049 |