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Comprehensive Library of Variational LSE Solvers

15 April 2024
Nico Meyer
Martin Röhn
Jakob Murauer
Axel Plinge
Christopher Mutschler
Daniel D. Scherer
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Abstract

Linear systems of equations can be found in various mathematical domains, as well as in the field of machine learning. By employing noisy intermediate-scale quantum devices, variational solvers promise to accelerate finding solutions for large systems. Although there is a wealth of theoretical research on these algorithms, only fragmentary implementations exist. To fill this gap, we have developed the variational-lse-solver framework, which realizes existing approaches in literature, and introduces several enhancements. The user-friendly interface is designed for researchers that work at the abstraction level of identifying and developing end-to-end applications.

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