Xiantao Li

Professor of Mathematics
Penn State University

Research Focus

My group develops rigorous mathematical methods for Quantum Algorithms for PDEs and Quantum Algorithms for Scientific Computing.

Key Affiliations:
• Center for Computational Mathematics and Applications (CCMA)
• The Quantum Hub at Penn State
• Center for Theory of Emergent Quantum Matter (C-TEQ)
• Institute for Computational and Data Sciences (ICDS)

Selected lectures on Quantum Algorithms and Scientific Computing

SIAM Conference on Dynamical Systems May 2025

Quantum advantage in simulating non-resonant nonlinear systems
IPAM Workshop: New Frontiers in Quantum Algorithms 2026

A general dilation framework for non-Hermitian dynamics

Quantum Algorithms ▶ Watch Video
NSF PI Meeting May 2025

Presentation on funded project: quantum speedup for differential equations
SIAM CSE 2025 March 2025

Optimal control of Open Quantum Systems
Ashtekar Frontiers of Science Lecture Feb 2025

What can quantum computing do for scientific computing?

Public Lecture ▶ Watch Video
SIAM NNP Conference 2025 2025

Quantum Algorithm for PDEs

📄 Presentation Slides
ICDS Symposium 2025 2025

Making Classical Problems Quantum
Simons Institute Workshop Oct 2024

Quantum Simulation Algorithms for Lindblad Dynamics

Simons Talk ▶ Watch Video
QSIM 2024 Aug 2024

Efficient Optimal Control of Open Quantum Systems

▶ Watch Video
APS March Meeting March 2024

Quantum Algorithms for DFT
QuCS Lecture 52 Dec 2023

Open Quantum Systems in Quantum Computing

▶ Watch Video
NA G-ROMs Seminar Oct 2023

Reduced Order Modeling Techniques in Computational Chemistry

▶ Watch Video
IPAM at UCLA Oct 2023

Open Quantum Systems in Quantum Computing

▶ Watch Video
ICML 2023 July 2023

Efficient Quantum Algorithms for Quantum Optimal Control

📄 Read Paper
IPAM at UCLA April 2023

A Stochastic Algorithm for Self-Consistent Calculations in DFT

▶ Watch Video