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...

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Bibliographic Details

Published in:	Journal of computational physics Vol. 487; p. 112149
Main Authors:	Jin, Shi, Liu, Nana, Yu, Yue
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.08.2023
Subjects:	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 Access:	Get full text
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