2 papers
quant-ph2026
Quantum-accelerated conjugate gradient method via spectral initialization
Shigetora Miyashita, Yoshi-aki Shimada
Solving large-scale linear systems problems is a cornerstone in scientific and industrial computing. Classical iterative solvers face increasing difficulty as the number of unknown…
quant-ph2023
Digital quantum simulator for the time-dependent Dirac equation using discrete-time quantum walks
Shigetora Miyashita, Takahiko Satoh, Michihiko Sugawara +5
We introduce a quantum algorithm for simulating the time-dependent Dirac equation in 3+1 dimensions using discrete-time quantum walks. Thus far, promising quantum algorithms have b…