Direct U(2) approximation via repeat-until-success circuits
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914498113175552 |
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| author | Kliuchnikov, Vadym Brachter, Jendrik da Silva, Marcus P. |
| author_facet | Kliuchnikov, Vadym Brachter, Jendrik da Silva, Marcus P. |
| contents | We show how to directly and efficiently approximate arbitrary one-qubit unitaries, bypassing the Euler decomposition and the magnitude approximation problem, at the cost of one ancillary qubit. Our technique also applies to approximating unitaries with multi-qubit gate sets such as Clifford and CS, or Clifford and CCZ, as well as to approximating orthogonal matrices using multi-qubit gate sets such as Real Clifford and CCZ. The key tools are repeat-until-success circuits, lattice-based exact synthesis algorithms, integer point enumeration in convex sets, and relative norm equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20033 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Direct U(2) approximation via repeat-until-success circuits Kliuchnikov, Vadym Brachter, Jendrik da Silva, Marcus P. Quantum Physics We show how to directly and efficiently approximate arbitrary one-qubit unitaries, bypassing the Euler decomposition and the magnitude approximation problem, at the cost of one ancillary qubit. Our technique also applies to approximating unitaries with multi-qubit gate sets such as Clifford and CS, or Clifford and CCZ, as well as to approximating orthogonal matrices using multi-qubit gate sets such as Real Clifford and CCZ. The key tools are repeat-until-success circuits, lattice-based exact synthesis algorithms, integer point enumeration in convex sets, and relative norm equations. |
| title | Direct U(2) approximation via repeat-until-success circuits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.20033 |