https://doi.org/10.1140/epjs/s11734-024-01383-0
Regular Article
The classical iterative HHL-based hemodynamic simulation quantum linear equation algorithm for abdominal aortic aneurysm
1
College of Computer Science, Sichuan University, 610065, Chengdu, China
2
Jinan Institute of Quantum Technology, 250101, Jinan, China
3
Jinan Branch, Hefei National Laboratory, 250101, Jinan, China
4
West China Biomedical Big Data Center, West China Hospital, Sichuan University, 610041, Chengdu, Sichuan, People’s Republic of China
5
Med-X Center for Informatics, Sichuan University, 610041, Chengdu, Sichuan, People’s Republic of China
6
West China Hospital- SenseTime Joint Lab, 610041, Chengdu, Sichuan, People’s Republic of China
7
Key Laboratory of Systems Health Science of Zhejiang Province, School of Life Science, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, 310024, Hangzhou, China
Received:
21
June
2024
Accepted:
20
October
2024
Published online:
6
November
2024
The abdominal aortic aneurysm (AAA) rupture is an extremely dangerous surgical acute abdominal disease. An important preventive method for AAA rupture is to simulate the hemodynamic parameters of AAA for medical evaluation through computational fluid dynamics. To fill the gap between the application of quantum computing and the field of biomedical engineering, we report a classical iterative HHL-based quantum algorithm for AAA hemodynamic simulation, and provide a Hamiltonian simulation approach for the coefficient matrix of linearized one-dimensional hemodynamic equations. Simulation experiments on IBM’s Qiskit (virtual machine) show that our proposed algorithm cannot only significantly reduce quantum resource consumption, but also improve simulation accuracy compared with the HHL algorithm. In addition, we have established a search-based circuit mapping which considers the hardware structure of the ‘Xiaohong’ quantum computer and selects mapping circuits with lower noise to improve the accuracy of measured results.
Yujie You and Fei Zhou contributed equally to this work.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjs/s11734-024-01383-0.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.