January 7, 2025 Dataset Open Access

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

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{"@context":"https://schema.org/","@id":"http://doi.org/10.25592/uhhfdm.17338","@type":"Dataset","creator":[{"@id":"https://orcid.org/0009-0001-8205-5878","@type":"Person","affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Bengoechea, Sergio"},{"@id":"https://orcid.org/0000-0001-7436-5254","@type":"Person","affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Over, Paul"},{"@id":"https://orcid.org/0000-0002-9704-3941","@type":"Person","affiliation":"Institute for Quantum Physics, University of Hamburg, 22761 Hamburg, Germany","name":"Jaksch, Dieter"},{"@id":"https://orcid.org/0000-0002-3454-1804","@type":"Person","affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Rung, Thomas"}],"datePublished":"2025-01-07","description":"<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>","distribution":[{"@type":"DataDownload","contentUrl":"https://www.fdr.uni-hamburg.de/api/files/9c0c930c-8443-4c5e-847a-bbe385448d43/data_summary.pdf","encodingFormat":"pdf"},{"@type":"DataDownload","contentUrl":"https://www.fdr.uni-hamburg.de/api/files/9c0c930c-8443-4c5e-847a-bbe385448d43/datav2.zip","encodingFormat":"zip"}],"identifier":"http://doi.org/10.25592/uhhfdm.17338","inLanguage":{"@type":"Language","alternateName":"eng","name":"English"},"keywords":["Computational Fluid Dynamics","Variational Quantum Algorithms","Quantum Computing","Convection Schemes"],"license":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Towards Variational Quantum Algorithms for generalized linear and nonlinear transport phenomena","url":"https://www.fdr.uni-hamburg.de/record/17338","version":"v2"}