3 papers
quant-ph2026
Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles
Katsuhiro Endo, Kazuaki Z. Takahashi
Nonlinear equilibrium problems derived from variational principles arise throughout physics and engineering, including structural mechanics, fluid dynamics, and electromagnetism. W…
quant-ph2025
Optimizing a parameterized controlled gate using Free Quaternion Selection
Hiroyoshi Kurogi, Katsuhiro Endo, Yuki Sato +6
In variational quantum algorithms, parameterization is typically applied to single-qubit gates.In this study, we instead parameterize a generalized controlled gate and propose an a…
quant-ph2024
Divergence-free algorithms for solving nonlinear differential equations on quantum computers
Katsuhiro Endo, Kazuaki Z. Takahashi
From weather to neural networks, modeling is not only useful for understanding various phenomena, but also has a wide range of potential applications. Although nonlinear differenti…