January 7, 2025 Dataset Open Access

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

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    <subfield code="a">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.</subfield>
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    <subfield code="a">&lt;p&gt;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&amp;#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 (&lt;a href="https://doi.org/10.48550/arXiv.2411.14931"&gt;arXiv.2411.14931&lt;/a&gt;).&lt;/p&gt;</subfield>
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