Approximation of multipartite quantum states and the relative entropy of entanglement
Abstract
Special approximation technique for analysis of different characteristics of states of multipartite infinite-dimensional quantum systems is proposed and applied to study of the relative entropy of entanglement and its regularisation. We prove several results about analytical properties of the multipartite relative entropy of entanglement and its regularization (the lower semicontinuity on wide class of states, the uniform continuity under the energy constraints, etc.). We establish a finite-dimensional approximation property for the relative entropy of entanglement and its regularization that allows to generalize to the infinite-dimensional case the results proved in the finite-dimensional settings.
Keywords
Cite
@article{arxiv.2103.12111,
title = {Approximation of multipartite quantum states and the relative entropy of entanglement},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:2103.12111},
year = {2024}
}
Comments
this is the old (original) version for references, the new version of this article is arXiv:2401.02388