报告地点：行健楼学术活动室526
邀请人：汪艳秋教授
Abstract：We present a quantum computational framework for solving linear algebra systems arising from iterative solvers. The framework combines the Schrödingerization technique with preconditioning strategies to achieve near-optimal complexity. Schrödingerization transforms linear differential equations into Schrödinger-type systems with unitary evolution in a higher dimension, making them suitable for quantum computation. In particular, the BPX preconditioner is integrated with Schrödingerization to obtain near-optimal complexity for elliptic problems. Building on this, we extend the method to the Helmholtz equation, incorporating dispersion correction and tailored preconditioning to efficiently address indefiniteness. These results show that quantum preconditioning provides a scalable pathway from well-conditioned systems to challenging wave problems.
个人简介：马楚雯，华东师范大学紫江青年学者。本科毕业于博彩论坛
，博士毕业于中国科学院；博士学位论文获评中国科学院百篇优秀博士论文。先后入选上海市超级博士后激励计划、中国博士后创新人才支持计划。主持国家自然科学基金青年项目 1 项。主要研究方向为移动界面问题的高阶非贴体网格方法、偏微分方程的量子计算等；研究成果发表于SINUM、JCP、SISC、JSC 等国际知名计算数学期刊。
