Quantum algorithm for nonlinear differential equations

Understand

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.