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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2504.06703 |
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| _version_ | 1866915234575286272 |
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| author | Kegeles, A. Keitzl, T. Renkl, J. |
| author_facet | Kegeles, A. Keitzl, T. Renkl, J. |
| contents | We present an analytical solution to the angle-finding problem in quantum signal processing (QSP) for monomials of odd degree.
Specifically, we show that to implement a monomial of degree \( n \), where \( n \) is odd, it suffices to choose powers of a primitive \( n \)-th root of unity as QSP phase angles.
Our approach departs from standard numerical methods and is rooted in a group-theoretic argument.
Being fully analytical, it eliminates numerical errors and reduces computational overhead in QSP implementation of odd monomials.
Such use cases arise, for example, in quantum computing, where self-adjoint contractions are embedded into unitary operators acting on extended Hilbert spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06703 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact QSP angles for odd monomials Kegeles, A. Keitzl, T. Renkl, J. Quantum Physics We present an analytical solution to the angle-finding problem in quantum signal processing (QSP) for monomials of odd degree. Specifically, we show that to implement a monomial of degree \( n \), where \( n \) is odd, it suffices to choose powers of a primitive \( n \)-th root of unity as QSP phase angles. Our approach departs from standard numerical methods and is rooted in a group-theoretic argument. Being fully analytical, it eliminates numerical errors and reduces computational overhead in QSP implementation of odd monomials. Such use cases arise, for example, in quantum computing, where self-adjoint contractions are embedded into unitary operators acting on extended Hilbert spaces. |
| title | Exact QSP angles for odd monomials |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.06703 |