Exploring the practicability of quantum linear solvers for QCFD simulations.

Quantum computing (QC) as we know today, has begun to proliferate its presence in many scientific disciplines. With every advancement in quantum algorithms and error correction, QC challenges its classical counterpart. However, for QC to emerge as an indispensable tool for practical applications, the exigency is not just for novel protocols that process quantum information but also for extracting it wisely in classical formats that cater to the solution of practical problems. Here we draw attention to potential methods of conducting fluid mechanics research using QC, which we call Quantum Computation of Fluid Dynamics (QCFD). In this light, we evaluate an end-to-end performance demonstration of modified Harrow-Hassidim-Lloyd (HHL) type algorithms to study problems such as the flow in a pipe and the 1D Burgers equation. For this, we also introduce here a new, high performance QC simulator, specific to fluid-dynamics, which we call "QuOn", designed to simulate most standard quantum algorithms. We shall present results using both QuOn and the IBMQ - Qiskit tools.