Solving Lyapunov equation by quantum algorithm
He SUN
Jing ZHANG
摘要：Lyapunov equation is one of the most basic and important equations in control theory,which has various applications in,e.g.,stability analysis and robust analysis of linear control systems.Inspired by the recent progresses of quantum algorithms,we find that solvingLyapunov equation can be exponentially accelerated by quantum algorithms rather than traditional classical algorithms.Our algorithm is more efficient especially when the system matrix is sparse and has a low condition number.The results presented in this paper open up new dimensions of research in controlling classical system by quantum information processors,which has rarely been considered in the existing literature.
机标关键词：quantum algorithmsquantum informationcondition numbercontrol systemscontrol theory
论文发表日期：2017-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：7( 267-273 )
英文信息