From CFD to QCFD

Over the past two decades, quantum computing (QC) with its surfeit of efforts in devising novel quantum algorithms has strived to establish its might over its classical counterparts. For QC to emerge as the 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. Here, starting with a brief introduction to QC, we evaluate potential methods of conducting fluid mechanics research using QC, which we call Quantum Computation of Fluid Dynamics (QCFD). We shall attempt to implement and evaluate an end-to-end performance demonstration of some modified Harrow-Hassidim-Lloyd (HHL) type algorithms to study flows such as the flow in a pipe, 1D Burgers equation and aspects of the Navier-Stokes equations.