Toward hybrid quantum-classical HPC solvers

Quantum computing (QC) aims at addressing computations that are currently intractable by conventional supercomputers. However, to be attractive for applied research and industrial investments, QC must not be limited to specific computations but also be seen as potential accelerator for general purpose simulations in high-performance computing (HPC). In this talk we explain how core tasks in scientific computing can be addressed by quantum algorithms, possibly combined with classical ones. We summarize recent advances in algorithms for decomposing and handling matrices (generic, or coming from PDEs) in quantum computers. We also present a hybrid quantum-classical solver for linear systems of equations with improvement in terms of accuracy and quantum cost for the solution

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