Approximation of multipartite quantum states: revised version with new applications
Abstract
An universal approximation technique for analysis of different characteristics of states of composite infinite-dimensional quantum systems is proposed and used to prove general results concerning the properties of correlation and entanglement measures in such systems. Then these results are applied to the study of three important characteristics: the relative entropy of -entanglement, the Rains bound (the unregularized and regularized versions of both characteristics are considered) and the conditional entanglement of mutual information. In particular, we analyse continuity and convexity properties of the above entanglement measures, prove several results simplifying their definitions and establish a finite-dimensional approximation property for these characteristics that allows us to generalize to the infinite-dimensional case the results proved in the finite-dimensional settings.
Cite
@article{arxiv.2401.02388,
title = {Approximation of multipartite quantum states: revised version with new applications},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:2401.02388},
year = {2024}
}
Comments
55 pages, further applications are added (Rains bound and conditional entanglement of mutual information), any comments are welcome. arXiv admin note: text overlap with arXiv:2103.12111