7 citations · 8 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
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…
Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
Di Fang, Diyi Liu, Rahul Sarkar
Hamiltonian simulation becomes more challenging as the underlying unitary becomes more oscillatory. In such cases, an algorithm with commutator scaling and a weak dependence, such…