Quantum Scientific Computation and Quantum Artificial Intelligence

Organizer：

Jin-Peng Liu 刘锦鹏

Speaker：

Zhaoyuan Meng (Peking University)

Time：

Tues., 16:00-17:00, Mar. 11, 2025

Venue：

Ningzhai 104

Online：

Tencent Meeting: 603-0692-7681

Title:

Quantum Computing of Fluid Dynamics via Hamiltonian Simulation

Abstract：

As a potentially disruptive technology, quantum computing has advanced rapidly over the past half-century, emerging as one of the most compelling research fields. Direct numerical simulation of high-Reynolds-number turbulence requires immense computational resources, exceeding the capabilities of even the most powerful supercomputers, making quantum computing highly promising for such high-demand applications. However, since turbulence is a highly nonlinear classical physics problem rather than a quantum simulation task, designing quantum algorithms specifically for fluid dynamics remains a formidable challenge. In this emerging field of quantum computing for fluid dynamics, quantum computing holds the potential to address fundamental challenges such as turbulence prediction, offering a new paradigm for fluid mechanics research.

We develop a framework of quantum computing for fluid dynamics via Hamiltonian simulation. A quantum spin representation for fluid dynamics is proposed, mapping fluid systems to a specialized quantum system, thereby providing the theoretical foundation for Hamiltonian simulation of fluid flows on quantum computers. We design a Hamiltonian simulation algorithm based on this quantum representation, enabling the simulation of both compressible and incompressible flows, with acceleration achieved via quantum Fourier transform. Furthermore, we demonstrate the first end-to-end digital simulation of unsteady fluid dynamics on a superconducting quantum computer.

About the speaker：

Zhaoyuan Meng is currently a PhD candidate in fluid mechanics at Peking University, under the supervision of Prof. Yue Yang. He obtained his Bachelor of Science degree from the University of Science and Technology of China in 2020. His research interests lie in turbulence, quantum computing for fluid dynamics, and vortex dynamics.