Quantum Mini-Apps for Engineering Applications: A Case Study

Abstract

In this work, we present a case study in implementing a variational quantum algorithm for solving the Poisson equation, which is a commonly encountered partial differential equation in science and engineering. We highlight the practical challenges encountered in mapping the algorithm to physical hardware, and the software engineering considerations needed to achieve realistic results on today's non-fault-tolerant systems.

Figures (4)

• Figure 1: VQA format
• Figure 2: VQA Entity Relationship Diagram
• Figure 3: Depth of circuits for the shift add operator used in the Sato et al. implementation (red) and the sparse Pauli operator method using the hardware efficient ansatz (blue) and the TTN++ ansatz (green) with increasing number of qubits for one ansatz layer.
• Figure 4: Solution to Poisson equation with periodic boundary conditions using Sato et al. cost function on the QASM simulator with four qubits.