讲座题目：基于“薛定谔化”的偏微分方程的量子算法猪猪系列

主讲东谈主：金石  院士

启动技术：2025-03-16  08:00

讲座地址：闵行校区数学楼102讲解厅

主持单元：数学科学学院

讲解东谈主简介：

      金石，现为上海交通大学当然科学筹商院院长，数学学院讲席汲引。他同期担任上海国度诈欺数学中心邻接主任与上海交通大学重庆东谈主工智能筹商院院长。他是好意思国数学会首批会士(2012)， 好意思国工业与诈欺数学学会会士(2013)， 和2018年外洋数学家大会邀请讲解东谈主，并于2021年当选为欧洲东谈主文与当然科学院(Academia Europaea)外籍院士与欧洲科学院(European Academy of Sciences)院士。2024年他取得上海市当然科学一等奖。他的筹商方针包括科学计较，动理学表面，多程序计较，计较流膂力学， 概略情趣量化，机器学习与量子计较等。

讲解本体简介：

Quantum computers have the potential to gain algebraic and even up to exponential speed up compared with its classical counterparts， and can lead to technology revolution in the 21st century. Since 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.  The most efficient quantum PDE solver is quantum simulation based on solving the Schrodinger equation. It will be interesting to explore what other problems in scientific computing， such as ODEs， PDEs， and  linear algebra that arise in both classical and quantum systems，  can be handled by quantum simulation. We provide a novel and generic method， called "Schrodingerization"， that maps， in one-higher dimension，  any linear ODEs and PDEs to Schrodinger type PDEs with unitary evolution. This allows quantum simulation for general linear PDEs and ODEs， in both continuous varialble (qumodes) and qubits based frameworks， the former suitable for analog quantum computing. We will also present other  dimension lifting techniques that transfer nonlinear PDEs to linear ones， and and  non-autonomous PDEs and ODEs with time-dependent coefficients to autonomous ones.

• 猪猪系列
• 3月
• 量子
• 讲解
• 学术