主讲人：金石 上海交通大学教授
时间：2026年6月25日13：00
地点：徐汇校区会议中心1号报告厅
举办单位：必威西汉姆联
内容介绍：Quantum computers are designed based on quantum mechanics principle, they are most suitable to solve the Schrodinger equation, and linear PDEs (and ODEs) evolved by unitary operators. Nonlinearity and Nonunitarity are the main challenges for quantum simulations of PDEs.
For linear PDEs (and ODEs) Schroginerization provides a general method to unitarize them for quantum simulation. For nonlinear problems we first introduce our quantum algorithms for (nonlinear) Hamiton-Jacobi equations, for both multi-valued solutions and viscosity solutions that are needed beyond the formation of caustics. We also introduce quantum algorithms for Young measures associated with nonlinear PDEs, which are effective tools to compute weak solutions to nonlinear PDEs that have singular solutions such as shocks, caustics, physical instabilities or (random) uncertainties.
We also introduce “UnitaryLab”, which is an AI-powered research software package of quantum algorithms for scientific computing.