4 papers
Variational Quantum Homotopy Perturbation Method to Solve Nonlinear Partial Differential Equations
Jungin E. Kim, Eunsik Choi, Yan Wang
Solving nonlinear partial differential equations is important in various scientific and engineering applications. Recently, quantum computing was introduced as an alternative compu…
Lindbladian Homotopy Analysis Method to Solve Nonlinear Partial Differential Equations
Eunsik Choi, Jungin E. Kim, Xueling Lu +1
Quantum scientific computing is to solve engineering and science problems such as simulation and optimization on quantum computers. Solving ordinary and partial differential equati…
Variational Quantum Algorithm for Constrained Topology Optimization
Jungin E. Kim, Yan Wang
One of the challenging scientific computing problems is topology optimization, where searching through the combinatorially complex configurations and solving the constraints of par…
Quantum Approximate Bayesian Optimization Algorithms with Two Mixers and Uncertainty Quantification
Jungin E. Kim, Yan Wang
The searching efficiency of the quantum approximate optimization algorithm is dependent on both the classical and quantum sides of the algorithm. Recently a quantum approximate Bay…