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quant-ph2026
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…
quant-ph2025
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…