At the invitation of Professor Hui Li, Academician of the Chinese Academy of Sciences, Professor Lei Zhang from the School of Mathematical Sciences and the Institute of Natural Sciences of Shanghai Jiao Tong University will visit our university and give an academic report on August 13, 2024. All interested faculty and students are welcome to attend.

Report Title: Quantum algorithm for multiscale PDEs

Report Time: August 13, 2024, 13:30-15:00

Report Location: Room 316, Civil Engineering Research Building, Second Campus

Organizing Unit: Smart Infrastructure Research Center

Report Abstract:

Quantum computing has garnered considerable interest in the past few years owing to its potential to offer up to exponential acceleration compared to classical computational methods. In this talk, I will first introduce the Schrödingerisation method by Jin, Liu and Yu [1], followed by its concrete quantum circuit implementation [2]. As examples, I will demonstrate applications to linear multiscale PDEs [3] and multiscale Hamilton-Jacobi equations [4].

[1] Shi Jin, Nana Liu and Yue Yu, Quantum simulation of partial differential equations: Applications and detailed analysis,Phys. Rev. A 108 (2023), no. 3, Paper No. 032603.

[2] Junpeng Hu, Shi Jin, Nana Liu, Lei Zhang, Quantum Circuits for partial differential equations via Schrödingerisation, arxiv:2403.10032.

[3] Junpeng Hu, Shi Jin, Lei Zhang, Quantum algorithms for multiscale partial differential equations, (SIAM) Multiscale Model. Simulation, to appear, arxiv:2304.06902.

[4] Kezhen Wang, Lei Zhang, Quantum Algorithms for Multiscale Hamilton-Jacobi Equation, preprint.

Introduction of the Speaker:

Lei Zhang is a Professor, Doctoral Supervisor, and National Young Talent at Shanghai Jiao Tong University. He received his Bachelor’s degree from Peking University (1999), Master’s degree from the Institute of Computational Mathematics, Chinese Academy of Sciences (2002), and Ph.D. in Computational Mathematics from the California Institute of Technology (2012). He has held postdoctoral positions at the Max-Planck Institute (2007–2009), the University of Bonn (2009–2010), and the University of Oxford (2010–2012). Since June 2012, he has been a faculty member at Shanghai Jiao Tong University. Professor Zhang has led 3 General Projects of the National Natural Science Foundation of China and 1 Science and Technology Innovation Action Plan Project of the Shanghai Municipal Science and Technology Commission. He has also participated in projects such as the NSFC Quantum Special Program, the Ministry of Science and Technology Key R&D Program, the NSFC Sino-German Cooperative Project, and key projects of the Shanghai Municipal Science and Technology Commission. His main research interests include multiscale modeling, analysis and computation, material modeling and simulation, machine learning, and quantum computing. His work has been published in top-tier journals in computational mathematics and mechanics, including SIAM Series, CPAM, CMAME, and JCP.