Entanglement polygon inequality in qudit systems
Abstract
Entanglement is one of important resources for quantum communication tasks. Most of results are focused on qubit entanglement. Our goal in this work is to characterize the multipartite high-dimensional entanglement. We firstly derive an entanglement polygon inequality for the -concurrence, which manifests the relationship among all the "one-to-group" marginal entanglements in any multipartite qudit system. This implies lower and upper bounds for the marginal entanglement of any three-qudit system. We further extend to general entanglement distribution inequalities for high-dimensional entanglement in terms of the unified- entropy entanglement including Tsallis entropy, R\'{e}nyi entropy, and von Neumann entropy entanglement as special cases. These results provide new insights into characterizing bipartite high-dimensional entanglement in quantum information processing.
Cite
@article{arxiv.2205.08801,
title = {Entanglement polygon inequality in qudit systems},
author = {Xue Yang and Yan-Han Yang and Ming-Xing Luo},
journal= {arXiv preprint arXiv:2205.08801},
year = {2022}
}
Comments
11 pages + 4 figures. Accepted in Phys. Rev. A (2022)