Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.13169 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911549500686336 |
|---|---|
| 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 |