We develop a hybrid classical-quantum method for solving the Lorenz system. We use the forward Euler method to discretize the system in time, transforming it into a system of equations. This set of equations is solved using the Variational Quantum Linear Solver (VQLS) algorithm. We present numerical results comparing the hybrid method with the classical approach for solving the Lorenz system. The simulation results demonstrate that the VQLS method can effectively compute solutions comparable to classical methods. The method is easily extended to solving similar nonlinear differential equations.

翻译：我们开发了一种用于求解洛伦兹系统的混合经典-量子方法。我们采用前向欧拉方法对系统进行时间离散化，将其转化为一个方程组。该方程组使用变分量子线性求解器（VQLS）算法进行求解。我们给出了该混合方法与经典方法求解洛伦兹系统的数值结果对比。仿真结果表明，VQLS方法能够有效计算出与经典方法相当的解。该方法易于扩展用于求解类似的非线性微分方程。