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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2024.11
- 수록면
- 764 - 769 (6page)
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초록· 키워드
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Various numerical algorithms are implemented to solve the Poisson equation, a widely used partial differential equation in engineering and physics. To avoid the iterative nature of most of the Poisson algorithms, we can transform our domain to the Fourier space to simplify the equation to a one-dimensional ordinary differential equation, thereby making the algorithm non-iterative. Recently, quantum variational algorithms were used to solve the Poisson Equation, also relying on iterative methods. In this paper, we introduce a hybrid, non-iterative algorithm using quantum Fourier transformation (QFT) and classical postprocessing to reduce the computational cost when solving a two-dimensional Poisson equation. By comparing the quantum operations included in the circuits of both algorithms, we conclude that the QFT-based algorithm requires less operations than the variational one.
목차
Abstract
1. Introduction
2. Mathematical Backgrounds
3. Quantum Circuits
4. Results
5. Discussion
6. Conclusion
References
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