Caglar Oskay

A variational quantum algorithm for nonlinear finite element analysis of hyperelastic materials

This manuscript explores a variational quantum formulation for nonlinear elasticity problems arising from hyperelastic material models. The approach leverages the potential energy structure of hyperelasticity and employs a hybrid quantum classical framework in which the energy fu...

PHASE: Pauli Hierarchical Assembly on Subdivided Elements for quantum-compatible operator synthesis

Efficiently decomposing finite element stiffness matrices into the Pauli basis is challenging due to the exponential growth of Pauli strings with problem size. A naive Pauli expansion requires $Θ(8^{\lceil \log_2 N \rceil})$ operations, where $N$ denotes the number of degrees of...