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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{"DOI":"10.25592/uhhfdm.14152","abstract":"<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>","author":[{"family":"Over, Paul"},{"family":"Bengoechea, Sergio"},{"family":"Rung, Thomas"},{"family":"Clerici, Francesco"},{"family":"Scandurra, Leonardo"},{"family":"De Villiers, Eugene"},{"family":"Jaksch, Dieter"}],"id":"14152","issued":{"date-parts":[[2024,2,28]]},"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":"Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers","type":"dataset"}