Neural network representation of quantum systems

arXiv:2403.11420v1 Announce Type: cross
Abstract: It has been proposed that random wide neural networks near Gaussian process are quantum field theories around Gaussian fixed points. In this paper, we provide a novel map with which a wide class of quantum mechanical systems can be cast into the form of a neural network with a statistical summation over network parameters. Our simple idea is to use the universal approximation theorem of neural networks to generate arbitrary paths in the Feynman's path …

abstract arxiv class cond-mat.dis-nn cs.ai cs.lg form hep-th map near network networks neural network neural networks novel paper process quant-ph quantum random representation systems type