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arXiv · 2011.06571

Quantum algorithm for nonlinear differential equations

Seth Lloyd·Giacomo De Palma·Can Gokler·Bobak Kiani·Zi-Wen Liu·Milad Marvian·Felix Tennie·Tim Palmer
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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.

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Seth Lloyd, Giacomo De Palma, Can Gokler, Bobak Kiani, Zi-Wen Liu, Milad Marvian, Felix Tennie, Tim Palmer. 2020-11-12. Quantum algorithm for nonlinear differential equations. https://arxiv.org/abs/2011.06571

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