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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{"conceptdoi":"10.25592/uhhfdm.14123","conceptrecid":"14123","created":"2024-02-29T12:38:58.607367+00:00","doi":"10.25592/uhhfdm.14152","id":14152,"links":{"badge":"https://www.fdr.uni-hamburg.de/badge/doi/10.25592/uhhfdm.14152.svg","conceptbadge":"https://www.fdr.uni-hamburg.de/badge/doi/10.25592/uhhfdm.14123.svg","conceptdoi":"http://doi.org/10.25592/uhhfdm.14123","doi":"http://doi.org/10.25592/uhhfdm.14152"},"metadata":{"access_right":"open","access_right_category":"success","communities":[{"id":"qcfd"},{"id":"uhh"}],"creators":[{"affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Over, Paul","orcid":"0000-0001-7436-5254"},{"affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Bengoechea, Sergio","orcid":"0009-0001-8205-5878"},{"affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Rung, Thomas","orcid":"0000-0002-3454-1804"},{"affiliation":"ENGYS Srl, Via del Follatoio, 12, 34148 Trieste TS, Italy","name":"Clerici, Francesco","orcid":"0009-0002-8153-8111"},{"affiliation":"ENGYS Srl, Via del Follatoio, 12, 34148 Trieste TS, Italy","name":"Scandurra, Leonardo","orcid":"0000-0003-3075-2919"},{"affiliation":"ENGYS UK, London SW18 3SX, United Kingdom","name":"De Villiers, Eugene","orcid":"0000-0002-0182-3637"},{"affiliation":"Institute for Quantum Physics, University of Hamburg, 22761 Hamburg, Germany","name":"Jaksch, Dieter","orcid":"0000-0002-9704-3941"}],"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>","doi":"10.25592/uhhfdm.14152","keywords":["Computational Fluid Dynamics","Variational Quantum Algorithms","Quantum Computing","Boundary Conditions"],"language":"eng","license":{"id":"CC-BY-4.0"},"notes":"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.","publication_date":"2024-02-28","related_identifiers":[{"identifier":"10.1016/j.compfluid.2024.106508","relation":"isReferencedBy","scheme":"doi"},{"identifier":"10.25592/uhhfdm.14123","relation":"isVersionOf","scheme":"doi"}],"relations":{"version":[{"count":3,"index":1,"is_last":false,"last_child":{"pid_type":"recid","pid_value":"17336"},"parent":{"pid_type":"recid","pid_value":"14123"}}]},"resource_type":{"title":"Dataset","type":"dataset"},"title":"Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers"},"owners":[569],"revision":7,"updated":"2025-04-03T15:41:50.406179+00:00"}