Quantum Fast Poisson Solver: the algorithm and modular circuit design

Understand

The Poisson equation has applications across many areas of physics and engineering, such as the dynamic process simulation of ocean current.

• Here we present a quantum Fast Poisson Solver, including the algorithm and the complete and modular circuit design.
• The algorithm takes the HHL algorithm as the template.
• The controlled rotation is performed based on the arc cotangent function which is evaluated by the Plouffe's binary expansion method.