Generic and Scalable Differential Equation Solver for Quantum Scientific Computing Article Swipe
Jinhwan Sul
,
Yongxian Wang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2409.18146
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2409.18146
One of the most important topics in quantum scientific computing is solving differential equations. In this paper, generalized quantum functional expansion (QFE) framework is proposed. In the QFE framework, a functional expansion of solution is encoded into a quantum state and the time evolution of the quantum state is solved with variational quantum simulation (VQS). The quantum functional encoding supports different numerical schemes of functional expansions. The lower bound of the required number of qubits is double logarithm of the inverse error bound in the QFE framework. Furthermore, a new parallel Pauli operation strategy is proposed to significantly improve the scalability of VQS. The number of circuits in VQS is exponentially reduced to only the quadratic order of the number of ansatz parameters. Four example differential equations are solved to demonstrate the generic QFE framework.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2409.18146
- https://arxiv.org/pdf/2409.18146
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4403794836
All OpenAlex metadata
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https://openalex.org/W4403794836Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2409.18146Digital Object Identifier
- Title
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Generic and Scalable Differential Equation Solver for Quantum Scientific ComputingWork title
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preprintOpenAlex work type
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enPrimary language
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2024Year of publication
- Publication date
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2024-09-24Full publication date if available
- Authors
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Jinhwan Sul, Yongxian WangList of authors in order
- Landing page
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https://arxiv.org/abs/2409.18146Publisher landing page
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https://arxiv.org/pdf/2409.18146Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2409.18146Direct OA link when available
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Solver, Scalability, Computer science, Computational science, Applied mathematics, Mathematics, Programming language, DatabaseTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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