3 papers
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…
quant-ph2025
High-order Magnus Expansion for Hamiltonian Simulation
Di Fang, Diyi Liu, Shuchen Zhu
Efficient simulation of quantum dynamics with time-dependent Hamiltonians is important not only for time-varying systems but also for time-independent Hamiltonians in the interacti…
math.NA2025
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…