Circuit Optimization for Universality Transformation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911549500686336 |
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| author | Nakayama, Yasuaki Takeuchi, Yuki Akibue, Seiseki |
| author_facet | Nakayama, Yasuaki Takeuchi, Yuki Akibue, Seiseki |
| contents | It is known that a computationally universal gate set $\{H,CCZ\}$ can be transformed to a strictly universal one $\{H, Λ(S)\}$ using one maximally imaginary state $|+i \rangle$ and non-imaginary ancillary qubits. We succeed this transformation with a shorter circuit that eliminates non-imaginary ancillary qubits. We further extend this to the continuous gate-set setting, showing that any multi-qubit unitary can be exactly generated by real single-qubit unitary gates, $CCZ$ gates and $|0 \rangle |+i \rangle$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13169 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Circuit Optimization for Universality Transformation Nakayama, Yasuaki Takeuchi, Yuki Akibue, Seiseki Quantum Physics It is known that a computationally universal gate set $\{H,CCZ\}$ can be transformed to a strictly universal one $\{H, Λ(S)\}$ using one maximally imaginary state $|+i \rangle$ and non-imaginary ancillary qubits. We succeed this transformation with a shorter circuit that eliminates non-imaginary ancillary qubits. We further extend this to the continuous gate-set setting, showing that any multi-qubit unitary can be exactly generated by real single-qubit unitary gates, $CCZ$ gates and $|0 \rangle |+i \rangle$. |
| title | Circuit Optimization for Universality Transformation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.13169 |