Quantum algorithm for nonlinear differential equations
arXiv:2011.06571
Abstract
Quantum computers are known to provide an exponential advantage over classical computers for the solution of linear differential equations in high-dimensional spaces. Here, we present a quantum algorithm for the solution of nonlinear differential equations. The quantum algorithm provides an exponential advantage over classical algorithms for solving nonlinear differential equations. Potential applications include the Navier-Stokes equation, plasma hydrodynamics, epidemiology, and more.
13 pages, plain TeX, replaced to correct an error in equation 10 and to add a section on normalization to the supplementary material