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' 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 (arXiv.2411.14931).

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.