5 papers
Quantum Gradient Flow Algorithm for Symmetric Positive Definite Systems via Quantum Eigenvalue Transformation: Towards Quantum CAE
Yuto Lewis Terashima, Tadashi Kadowaki, Yohichi Suzuki +1
In this study, we propose the Quantum Gradient Flow Algorithm (QGFA), a novel quantum algorithm for solving symmetric positive definite (SPD) linear systems based on the variationa…
Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization
Shoya Sasaki, Katsuhiro Endo, Mayu Muramatsu
Hamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations…
Conditional diffusion model for inverse prediction of process parameters and dendritic microstructures from mechanical properties
Arisa Ikeda, Ryo Higuchi, Tomohiro Yokozeki +4
In this study, we develop a conditional diffusion model that proposes the optimal process parameters and predicts the microstructure for the desired mechanical properties. In mater…
An Ising Machine Formulation for Design Updates in Topology Optimization of Flow Channels
Yudai Suzuki, Shiori Aoki, Fabian Key +5
Topology optimization is an essential tool in computational engineering, for example, to improve the design and efficiency of flow channels. At the same time, Ising machines, inclu…
Implementation of spectral methods on Ising machines: toward flow simulations on quantum annealer
Kenichiro Takagi, Naoki Moriya, Shiori Aoki +3
We investigate the possibility and current limitations of flow computations using quantum annealers by solving a fundamental flow problem on Ising machines. As a fundamental proble…