Quantum Computing for Dispersion Bands of Phononic Crystals

Investigating the vibro-elastic dispersion relations of architected materials presents a significant challenge due to the complex interplay between the material's microstructure, inherent physical properties, and wave propagation characteristics. Leveraging on the rapidly growing power of quantum computing, we employ quantum algorithms that are tailored to Noisy Intermediate-scale Quantum (NISQ) specifications to calculate band structures of elastic waves. We demonstrate predictions of dispersion bands with the adaptive penalty and adaptive ansätze enhanced Variational Quantum Deflation (VQD) algorithm for selected architected materials, including square and triangular phononic crystals. Our study shows that the Dual-Adapt method is able to enhance prediction performance for multiple high-frequency excited states. This research prepares the metamaterial research community for the upcoming era of quantum computing.