Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations

We construct quantum algorithms to compute the solution and/or physical observables of nonlinear ordinary differential equations (ODEs) and nonlinear Hamilton-Jacobi equations (HJE) via linear representations or exact mappings between nonlinear ODEs/HJE and linear partial differential equations (the...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of computational physics Jg. 487; S. 112149
Hauptverfasser:	Jin, Shi, Liu, Nana, Yu, Yue
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 15.08.2023
Schlagworte:	Koopman-von Neumann representation Linear representation methods Liouville representation Quantum linear systems algorithms Semiclassical Schrödinger equation Liouville representation Koopman-von Neumann representation Semiclassical Schrödinger equation Quantum linear systems algorithms Linear representation methods
ISSN:	0021-9991, 1090-2716
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!