From the 1 of 5 linked papers with an AI index.
5 papers
Splitting Analysis for Yukawa Potential
Di Fang, Jiaqi Zhang
The paper analyzes operator splitting methods for the Schrödinger equation with a Yukawa potential, proving a global 1/4-order convergence rate for many-body systems and establishi…
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…
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…
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…