|Time:||February 22, 2022, 10:00 a.m. (CET)|
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Quantum computing (QC) is an emerging technology that has the potential to radically change the way we will be solving computational problems in the future. While today's Noisy Intermediate-Scale Quantum (NISQ) computers have severe limitations, full-fledged QC systems that surpass the computational capabilities of classical computers are expected within this decade.
In this talk, I will give an overview of quantum algorithms and quantum-assisted computational methods for PDEs. Starting with the well-known HHL algorithm  and its various variants, we will discuss the fine-prints of its application to systems that arise from the discretization of PDEs with classical numerical methods. The second part of the talk will focus on hybrid classical-quantum algorithms, in particular, the variational quantum linear solver proposed by Bravo-Prieto et al. . The third part of the talk will give a brief overview of unconventional approaches such as .
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for solving linear systems of equations". Physical Review
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 C. Bravo-Prieto, R. LaRose, M. Cerezo, Y. Subasi, L. Cincio, and
P.J. Coles (2019): Variational Quantum Linear Solver. arXiv:1909.05820
 F. Gaitan (2020): Finding flows of a Navier–Stokes fluid through
quantum computing. npj Quantum Inf 6, 61
 R. Steijl (2019): Quantum Algorithms for Fluid Simulations. In:
Bulnes, F. (ed.) Advances in Quantum Communication and
Information. IntechOpen. ISBN 9781789852684