Recently, Zhejiang University Press officially released the Collection of Outstanding Achievements from Projects Funded by the National Natural Science Foundation of China (Volume VIII). This publication highlights the remarkable research accomplishments supported by the National Natural Science Foundation during China’s “14th Five-Year Plan” period. Among the featured achievements, five were selected in the field of mathematics, including the groundbreaking work titled Research on Quantum Algorithms for Partial Differential Equations. This research was co-authored by Shi Jin, Dean of the Institute of Natural Sciences and Chair Professor at the School of Mathematical Sciences at Shanghai Jiao Tong University, and Nana Liu, Professor at the Institute of Natural Sciences/Pujiang International College. The project was completed collaboratively by Shi Jin, Nana Liu, and postdoctoral researcher Yue Yu, with their related paper, Quantum simulation of partial differential equations via Schrödingerisation, published in the prestigious journal Physical Review Letters in 2024.
The study introduces an innovative “Schrödingerisation” method, which cleverly transforms linear ordinary and partial differential equations into a form compatible with the Schrödinger equation. This transformation makes them suitable for quantum simulation. Built on continuous variables, the method is both simple and versatile, applicable to both finite-dimensional and infinite-dimensional quantum systems. This breakthrough significantly broadens the scope of quantum computing in addressing scientific and engineering challenges.
In addition to this recognition, the achievement was also selected as one of the “Top Ten Scientific and Technological Advances” at Shanghai Jiao Tong University’s 5th event in 2024. Furthermore, leveraging the team’s research findings, UnitaryLab—the world’s first quantum scientific computing platform—was officially launched in November 2025, drawing widespread attention from both industry and academia.
