Applied mechanics provides a mathematical framework for understanding how complex physical behavior emerges across scales, from transport and wave propagation to deformation, instability, and collective dynamics in continuum systems. In the QuAC group, we are interested in developing quantum and scientific computing methods that assist in the formulation, simulation, and inference of these models. Our work draws on continuum mechanics, numerical analysis, differential geometry and information theory to design algorithms tailored to the structure of physical systems themselves.
Explore ResearchMany physical systems possess rich underlying mathematical structure, including conservation laws, symmetries, geometric embedding, and thermodynamics constraints, that fundamentally govern their evolution and emergent behavior. Our research seeks to incorporate these structures directly into computational frameworks, both to improve physical fidelity and to specialize algorithmic performance for scientific applications. A central theme of our research is understanding whether these structured problems admit new pathways for quantum advantage in simulation, learning, optimization, and system identification for complex continuum systems.