Abstract:
Simulation of quantum dynamics, emerging as the original motivation for quantum computers, is widely viewed as one of the most important applications of a quantum computer. Recent years have witnessed tremendous progress in developing and analyzing quantum algorithms for Hamiltonian simulation of bounded operators. However, many scientific and engineering problems require the efficient treatment of unbounded operators, which pose additional challenges, often arising from the discretization of differential operators. Such applications include molecular dynamics, electronic structure, quantum differential equations solver, and quantum optimization. Dr. Di Fang will introduce some recent progresses in quantum algorithms for efficient unbounded Hamiltonian simulation, including Trotter type splitting and Magnus expansion-based algorithms in the interaction picture.
Speaker’s Bio:
Professor Di Fang is an assistant professor in Department of Mathematics and Duke Quantum Center at Duke University. She is a mathematician working in quantum algorithms and the theory of quantum computing. Her mathematical expertise lies in differential equations, numerical analysis, and semiclassical analysis, with applications to quantum algorithms, quantum dynamics, and Hamiltonian learning theory. She is a program committee member for the International conference on Quantum Information Processing (QIP) 2024, QIP 2025, Quantum Computing Theory in Practice (QCTiP) 2025, and Theory of Quantum Computation (TQC) 2025, a steering committee member of the Society for Industrial and Applied Mathematics (SIAM) Quantum Intersection Convening 2024, a local organizing committee member of Quantum Information Processing Conference (QIP) 2025, a co-organizer of the Institute for Pure & Applied Mathematics (IPAM) long program in quantum computing, an editor of the journal, Quantum, and a judge of the XPRIZE Quantum Applications competition. She is also an invited speaker of the annual International Conference on Quantum Simulation (QSim) 2024 and American Physical Society (APS) March Meeting 2023 and 2025.
