# A Performance Study of Variational Quantum Algorithms for Solving the Poisson Equation on a Quantum Computer

@inproceedings{Ali2022APS, title={A Performance Study of Variational Quantum Algorithms for Solving the Poisson Equation on a Quantum Computer}, author={Mazen Ali and Matthias Kabel}, year={2022} }

Recent advances in quantum computing and their increased availability has led to a growing in-terest in possible applications. Among those is the solution of partial diﬀerential equations (PDEs) for, e.g., material or ﬂow simulation. Currently, the most promising route to useful deployment of quantum processors in the short to near term are so-called hybrid variational quantum algorithms (VQAs). Thus, variational methods for PDEs have been proposed as a candidate for quantum advantage in the…

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