An Early Investigation of the HHL Quantum Linear Solver for Scientific Applications
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| Publicado en: | Algorithms vol. 18, no. 8 (2025), p. 491-512 |
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| Autor principal: | |
| Otros Autores: | , , , , , |
| Publicado: |
MDPI AG
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| Materias: | |
| Acceso en línea: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| 022 | |a 1999-4893 | ||
| 024 | 7 | |a 10.3390/a18080491 |2 doi | |
| 035 | |a 3243965669 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 084 | |a 231333 |2 nlm | ||
| 100 | 1 | |a Zheng Muqing | |
| 245 | 1 | |a An Early Investigation of the HHL Quantum Linear Solver for Scientific Applications | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a In this paper, we explore using the Harrow–Hassidim–Lloyd (HHL) algorithm to address scientific and engineering problems through quantum computing, utilizing the NWQSim simulation package on a high-performance computing platform. Focusing on domains such as power-grid management and climate projection, we demonstrate the correlations of the accuracy of quantum phase estimation, along with various properties of coefficient matrices, on the final solution and quantum resource cost in iterative and non-iterative numerical methods such as the Newton–Raphson method and finite difference method, as well as their impacts on quantum error correction costs using the Microsoft Azure Quantum resource estimator. We summarize the exponential resource cost from quantum phase estimation before and after quantum error correction and illustrate a potential way to reduce the demands on physical qubits. This work lays down a preliminary step for future investigations, urging a closer examination of quantum algorithms’ scalability and efficiency in domain applications. | |
| 653 | |a Quantum computing | ||
| 653 | |a Accuracy | ||
| 653 | |a Fourier transforms | ||
| 653 | |a Experiments | ||
| 653 | |a Error correction | ||
| 653 | |a Finite difference method | ||
| 653 | |a Optimization | ||
| 653 | |a Newton-Raphson method | ||
| 653 | |a Decomposition | ||
| 653 | |a Algorithms | ||
| 653 | |a Eigenvalues | ||
| 653 | |a Numerical methods | ||
| 653 | |a Linear algebra | ||
| 653 | |a Qubits (quantum computing) | ||
| 700 | 1 | |a Liu Chenxu | |
| 700 | 1 | |a Stein, Samuel | |
| 700 | 1 | |a Li, Xiangyu | |
| 700 | 1 | |a Mülmenstädt Johannes | |
| 700 | 1 | |a Chen Yousu | |
| 700 | 1 | |a Ang, Li | |
| 773 | 0 | |t Algorithms |g vol. 18, no. 8 (2025), p. 491-512 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3243965669/abstract/embedded/H09TXR3UUZB2ISDL?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3243965669/fulltextwithgraphics/embedded/H09TXR3UUZB2ISDL?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3243965669/fulltextPDF/embedded/H09TXR3UUZB2ISDL?source=fedsrch |