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math.NA2026
Splitting Analysis for Yukawa Potential
Di Fang, Jiaqi Zhang
Splitting methods are among the most classical and fundamental tools for the simulation of quantum dynamics, and their importance has grown further with the rise of quantum computi…
math.NA2025
Superconvergence of High-order Magnus Quantum Algorithms
Di Fang, Jiaqi Zhang
The Magnus expansion has long been a celebrated subject in numerical analysis, leading to the development of many useful classical integrators. More recently, it has been discovere…
math.NA2025★ 1 cited
Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
Yonah Borns-Weil, Di Fang, Jiaqi Zhang
Motivated by various applications, unbounded Hamiltonian simulation has recently garnered great attention. Quantum Magnus algorithms, designed to achieve commutator scaling for tim…