6 papers
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…
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…
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…
Variational multiscale enrichment method for dynamic response of hyperelastic materials at finite deformation
Abhishek Arora, Caglar Oskay
In this manuscript, we extend the variational multiscale enrichment (VME) method to model the dynamic response of hyperelastic materials undergoing large deformations. This approac…
Mixed Precision Photonic Computing with 3D Electronic-Photonic Integrated Circuits
Georgios Charalampous, Rui Chen, Mehmet Berkay On +12
We propose advancing photonic in-memory computing through three-dimensional photonic-electronic integrated circuits using phase-change materials (PCM) and AlGaAs-CMOS technology. T…
An Implementation of the Finite Element Method in Hybrid Classical/Quantum Computers
Abhishek Arora, Benjamin M. Ward, Caglar Oskay
This manuscript presents the Quantum Finite Element Method (Q-FEM) developed for use in noisy intermediate-scale quantum (NISQ) computers and employs the variational quantum linear…