At its microscopic level, the universe follows the laws of quantum mechanics. Focusing on the quantum trajectories of particles as followed from the hydrodynamical formulation of quantum mechanics, we propose that under general requirements, quantum systems follow a disrupted version of the gradient descent model, a basic machine learning algorithm, where the learning is distorted due to the self-organizing process of the quantum system. Such a learning process is possible only when we assume dissipation, i.e., that the quantum system is open. The friction parameter determines the nonlinearity of the quantum system. We then provide an empirical demonstration of the proposed model.
翻译:在微观层面上,宇宙遵循量子力学定律。聚焦于量子力学流体力学表述中粒子所遵循的量子轨迹,我们提出在一般条件下,量子系统遵循梯度下降模型——一种基础机器学习算法——的扰动版本,其中学习过程因量子系统的自组织过程而发生畸变。这种学习过程只有在假设耗散(即量子系统为开放系统)时才有可能实现。摩擦参数决定了量子系统的非线性程度。随后,我们对该模型进行了实证验证。