3 papers
quant-ph2026
Quantum Homotopy Perturbation Method to Solve Nonlinear Partial Differential Equations
Jungin E. Kim, Eunsik Choi, Yan Wang
Solving nonlinear partial differential equations (PDEs) is important in various scientific and engineering applications. Recently, quantum computing was introduced as an alternativ…
math.NA2026
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…
quant-ph2024
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…