Solving the Hele-Shaw flow using the Harrow-Hassidim-Lloyd algorithm on superconducting devices: A study of efficiency and challenges
The development of quantum processors capable of handling practical fluid flow problems represents a distant yet promising frontier. Recent strides in quantum algorithms, particularly linear solvers, have illuminated the path toward quantum solutions for classical fluid flow solvers. However, assess...
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Main Authors | , , , , |
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Format | Journal Article |
Language | English |
Published |
16.09.2024
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Subjects | |
Online Access | Get full text |
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Summary: | The development of quantum processors capable of handling practical fluid
flow problems represents a distant yet promising frontier. Recent strides in
quantum algorithms, particularly linear solvers, have illuminated the path
toward quantum solutions for classical fluid flow solvers. However, assessing
the capability of these quantum linear systems algorithms (QLSAs) in solving
ideal flow equations on real hardware is crucial for their future development
in practical fluid flow applications. In this study, we examine the capability
of a canonical QLSA, the Harrow-Hassidim-Lloyd (HHL) algorithm, in accurately
solving the system of linear equations governing an idealized fluid flow
problem, specifically the Hele-Shaw flow. Our investigation focuses on
analyzing the accuracy and computational cost of the HHL solver. To gauge the
stability and convergence of the solver, we conduct shots-based simulations on
quantum simulators. Furthermore, we share insights gained from executing the
HHL solver on superconducting quantum devices. To mitigate errors arising from
qubit measurement, gate operations, and qubit decoherence inherent in quantum
devices, we employ various error suppression and mitigation techniques. Our
preliminary assessments serve as a foundational step towards enabling more
complex quantum utility scale evaluation of using QLSA for solving fluid flow
problems. |
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DOI: | 10.48550/arxiv.2409.10857 |