【直播】【复旦理论物理报告会】上海交通大学Nana Liu教授：量子计算和求解非线性方程的方法

直播信息

报告题目

复旦理论物理报告会｜上海交通大学Nana Liu教授：量子计算和求解非线性方程的方法

报告人（单位）

Nana Liu

报告时间

2022年3月4日（周五）9:30 

主办方

复旦大学物理系

直播二维码

报告摘要

Nonlinear ordinary and partial differential equations have been central to modelling of some of the most significant problems in physics, chemistry, engineering, biology and finance, including climate modelling, aircraft design, molecular dynamics and drug design. While quantum computation has shown its advantages for solving linear problems, nonlinear problems have yet remained elusive. This is because quantum mechanics itself is fundamentally linear and it is not yet known how to model nonlinear problems in a linear way without significant approximations. Truly nonlinear behaviour, however, is what makes real physical systems, like the weather and stock markets, interesting, complex and unpredictable. We show that an important class of nonlinear partial differential equations - Hamilton-Jacobi and scalar hyperbolic equations - can indeed be fully captured using a quantum algorithm. These equations are important for many applications like optimal control, machine learning, semi-classical limit of Schrodinger equations, and mean-field games. Physical quantities like density and energy can be computed using a quantum algorithm that can be up to exponentially more efficient compared to a classical device with respect to the dimension of the system and the error of the final answer.

报告人介绍

Nana Liu is currently an associate professor and PI of the Quantum Information and Technologies (QIT) group in the Institute of Natural Sciences at Shanghai Jiao Tong University and the University of Michigan-Shanghai Jiao Tong University Joint Institute. She specialises in quantum algorithms and other quantum protocols. She received her PhD from the University of Oxford as a Clarendon Scholar. She is also the 2019 recipient of the MIT Technology Review’s 10 Innovators under 35 in the Asia-Pacific region. Her research focus is on employing quantum resources for both quantum computation and sensing. Her research also lies at the interface between quantum computation, security and machine learning, which will be useful in building a future quantum internet.

复旦大学物理系理论物理报告会

复旦理论物理报告会，每周五上午9:30举行，报告时间为一到两个小时。报告会旨在加强国内外理论物理前沿研究进展的互动，着重凝聚态物理、量子信息和原子分子光学等学科中重要的理论物理方面的最新进展和发展方向。通过加强交流，促进不同物理学科的交叉互通， 启发新的研究角度和新科学思想。提高研究生对前沿理论物理研究动向的敏感度和思考新物理问题尤其是交叉学科问题的积极性。

专题直播&回放链接：

https://www.koushare.com/topicIndex/i/phys-fudan

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编辑：王媛媛

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