论文标题

非线性微分方程的量子算法

Quantum algorithm for nonlinear differential equations

论文作者

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

论文摘要

已知量子计算机可为高维空间中线性微分方程的解决方案提供指数优势。在这里,我们提出了一种用于求解非线性微分方程的量子算法。量子算法比用于求解非线性微分方程的经典算法提供了指数优势。潜在的应用包括Navier-Stokes方程,血浆流体动力学,流行病学等。

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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