Dynamics

Quantum algorithms can speed up many significant, computationally challenging problems when run on a quantum computer. It is natural to ask whether a quantum computer might allow a speedup of fluid dynamic simulations.

This paper adopts a recently introduced quantum algorithm for partial differential equations to solve Burgers’ equation and develops a quantum CFD solver. We used our quantum CFD solver to verify the quantum Burgers’ equation algorithm to find the flow solution when a shockwave is and is not present. We found excellent agreements for both cases, and the error of the quantum CFD solver was comparable to that of the classical CFD solver.