Tensor-Networks-based Learning of Probabilistic Cellular Automata Dynamics

arXiv:2404.11768v1 Announce Type: cross
Abstract: Algorithms developed to solve many-body quantum problems, like tensor networks, can turn into powerful quantum-inspired tools to tackle problems in the classical domain. In this work, we focus on matrix product operators, a prominent numerical technique to study many-body quantum systems, especially in one dimension. It has been previously shown that such a tool can be used for classification, learning of deterministic sequence-to-sequence processes and of generic quantum processes. We further develop a matrix product …

abstract algorithms arxiv cellular cond-mat.stat-mech cs.lg domain dynamics focus matrix networks numerical operators product quant-ph quantum solve study systems tensor tools type work