February 28, 2024 Dataset Open Access

Over, Paul; Bengoechea, Sergio; Rung, Thomas; Clerici, Francesco; Scandurra, Leonardo; De Villiers, Eugene; Jaksch, Dieter

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{"@context":"https://schema.org/","@id":"http://doi.org/10.25592/uhhfdm.14152","@type":"Dataset","creator":[{"@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/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/0000-0002-3454-1804","@type":"Person","affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Rung, Thomas"},{"@id":"https://orcid.org/0009-0002-8153-8111","@type":"Person","affiliation":"ENGYS Srl, Via del Follatoio, 12, 34148 Trieste TS, Italy","name":"Clerici, Francesco"},{"@id":"https://orcid.org/0000-0003-3075-2919","@type":"Person","affiliation":"ENGYS Srl, Via del Follatoio, 12, 34148 Trieste TS, Italy","name":"Scandurra, Leonardo"},{"@id":"https://orcid.org/0000-0002-0182-3637","@type":"Person","affiliation":"ENGYS UK, London SW18 3SX, United Kingdom","name":"De Villiers, Eugene"},{"@id":"https://orcid.org/0000-0002-9704-3941","@type":"Person","affiliation":"Institute for Quantum Physics, University of Hamburg, 22761 Hamburg, Germany","name":"Jaksch, Dieter"}],"datePublished":"2024-02-28","description":"<p>The data refers to a variational quantum algorithm experiments solving initial-boundary value problems described by second-order partial differential 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 steady and unsteady diffusive transport equations for a scalar property in combination with various Dirichlet, Neumann, or Robin 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.2402.18619\">arXiv.2402.18619</a>).</p>","distribution":[{"@type":"DataDownload","contentUrl":"https://www.fdr.uni-hamburg.de/api/files/cff8b4da-f4f7-47b8-9c61-6c39eb24d246/data_summary.pdf","encodingFormat":"pdf"},{"@type":"DataDownload","contentUrl":"https://www.fdr.uni-hamburg.de/api/files/cff8b4da-f4f7-47b8-9c61-6c39eb24d246/Data_version2.zip","encodingFormat":"zip"}],"identifier":"http://doi.org/10.25592/uhhfdm.14152","inLanguage":{"@type":"Language","alternateName":"eng","name":"English"},"keywords":["Computational Fluid Dynamics","Variational Quantum Algorithms","Quantum Computing","Boundary Conditions"],"license":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers","url":"https://www.fdr.uni-hamburg.de/record/14152"}