3 papers
cs.CE2026
Duplicate-Aware Shift-and-Lift Carleman Linearization:Structure, Complexity, and Comparative Evaluation
Takaki Akiba, Youhi Morii
The primary objective of this study is to remove duplicated monomial contributions that proliferate in Carleman linearization as state dimension and truncation order increase. To d…
quant-ph2025
GPU Benchmark through QPE Emulator with cuQuantum for Practical Quantum Applications
Takaki Akiba, Youhi Morii
The quantum algorithm of Quantum Phase Estimation (QPE) was implemented to make the maximum use of GPU emulation with cuQuantum and CUDA Toolkit by NVIDIA. The input and output wer…
math.NA2022
Carleman linearization approach for chemical kinetics integration toward quantum computation
Takaki Akiba, Youhi Morii, Kaoru Maruta
The Harrow, Hassidim, Lloyd (HHL) algorithm is a quantum algorithm expected to accelerate solving large-scale linear ordinary differential equations (ODEs). To apply the HHL to non…