Application of Quantum Algorithms to Electromagnetic Field Analysis

Abstract

Summary
• Demonstrated a CAE-like use case of Hamiltonian simulation; “metalens optimization”
• The potential-based form leads to simple implementation of Maxwell’s equation with Hamiltonian sim.
• Periodic /geometrical structure leads high compression efficiency in Hamiltonian terms
• More refinements are needed for state readout processes for practical use

Issues and future works
• Better representation of continuous material constants
• How to efficiently collect information of spatial distribution
• How to efficiently collect time series information (Fourier transformation? Weak measurements?)
• How to coherently access to the quantum amplitudes (without measurements)

Related documents:
• 18th U.S. National Congress on Computational Mechanics
• Joint Symposium on Quantum Computing 2025