January 7, 2025 Dataset Open Access

Bengoechea, Sergio; Over, Paul; Jaksch, Dieter; Rung, Thomas

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{"DOI":"10.25592/uhhfdm.17338","abstract":"<p>The data refers to a variational quantum algorithm experiments solving linear and nonlinear thermofluid dynamic transport equations. The approach uses hybrid classical/quantum hardware that is well suited for quantum computers of the current noisy intermediate-scale quantum era. The partial differential equation is initially translated into an optimal control problem with a modular control-to-state operator (ansatz). The examples include the Heat, Wave, and Burgers&#39; equation in combination with different engineering boundary conditions. The results are complemented by classical finite difference results, which have been taken for comparison in the underlying document (<a href=\"https://doi.org/10.48550/arXiv.2411.14931\">arXiv.2411.14931</a>).</p>","author":[{"family":"Bengoechea, Sergio"},{"family":"Over, Paul"},{"family":"Jaksch, Dieter"},{"family":"Rung, Thomas"}],"id":"17338","issued":{"date-parts":[[2025,1,7]]},"language":"eng","note":"The current work have received funding from the European Union's Horizon Europe research and innovation program (HORIZON-CL4-2021-DIGITAL-EMERGING-02-10) under grant agreement No. 101080085 QCFD.","title":"Towards Variational Quantum Algorithms for generalized linear and nonlinear transport phenomena","type":"dataset","version":"v2"}