Learning with Density Matrices and Random Features

arXiv:2102.04394v5 Announce Type: replace
Abstract: A density matrix describes the statistical state of a quantum system. It is a powerful formalism to represent both the quantum and classical uncertainty of quantum systems and to express different statistical operations such as measurement, system combination and expectations as linear algebra operations. This paper explores how density matrices can be used as a building block for machine learning models exploiting their ability to straightforwardly combine linear algebra and probability. One of the main …

abstract algebra arxiv combination cs.ai cs.lg express features linear linear algebra matrix measurement operations paper quant-ph quantum random state statistical systems type uncertainty