Generalised monogamy relation of convex-roof extended negativity in multi-level systems
Abstract
In this paper, we investigate the generalised monogamy inequalities of convex-roof extended negativity (CREN) in multi-level systems. The generalised monogamy inequalities provide the upper and lower bounds of bipartite entanglement, which are obtained by using CREN and the CREN of assistance (CRENOA). Furthermore, we show that the CREN of multi-qubit pure states satisfies some monogamy relations. Additionally, we test the generalised monogamy inequalities for qudits by considering the partially coherent superposition of a generalised W-class state in a vacuum and show that the generalised monogamy inequalities are satisfied in this case as well.
Keywords
Cite
@article{arxiv.1605.02176,
title = {Generalised monogamy relation of convex-roof extended negativity in multi-level systems},
author = {Tian Tian and Yu Luo and Yongming Li},
journal= {arXiv preprint arXiv:1605.02176},
year = {2016}
}
Comments
11 pages, 1 figures. We thank the anonymous referees for their valuable comments, especially for they corrected a mistike of the Theorem 1 in the first version