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quant-ph2026
Variational Quantum Algorithms for Hyperelasticity: Incorporating Nonlinear Constitutive Behavior
Uditnarayan Kouskiya, Caglar Oskay
This paper extends a recently proposed Variational Quantum Algorithm framework for nonlinear elasticity to a broader class of constitutive nonlinearities involving rational powers…
quant-ph2026
PHASE: Pauli Hierarchical Assembly on Subdivided Elements for Quantum-Compatible Operator Synthesis
Tillman Philo, Caglar Oskay
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 expans…
quant-ph2026
A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials
Uditnarayan Kouskiya, Caglar Oskay
This manuscript explores a variational quantum formulation for nonlinear elasticity problems arising from hyperelastic material models. The approach leverages the potential energy…