Professor Xiantao Li

Contact

101 McAllister Building
Penn State University
University Park, PA 16802

Email: XIANTAO.LI [AT] PSU.EDU

Xiantao Li

Professor of Mathematics
Penn State University
Quantum Computing Machine Learning Open Quantum Systems

Research Focus

My group develops rigorous mathematical methods at the intersection of Quantum Computing, Scientific Computing, and Machine Learning. Our current focus includes Quantum Algorithms for PDEs, Open Quantum Systems , 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)

Recent Teaching

Courses focused on Machine Learning and Artificial Intelligence

  • Penn State University Spring 2026

    Mathematical Foundations for Machine Learning

    This course introduces students to essential mathematical foundations required for further studies in machine learning.

    Machine Learning Applied Math
  • Penn State University Undergraduate Course

    Deep Learning Algorithms and Analysis

    An introduction to the basic mathematical, numerical, and practical aspects of deep learning techniques.

    Deep Learning AI

Recent Talks & Events

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