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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.06703 |
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Table of 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.