Are all maximally entangled states pure?
Quantum Physics
2013-08-27 v7
Abstract
We study if all maximally entangled states are pure through several entanglement monotones. In the bipartite case, we find that the same conditions which lead to the uniqueness of the entropy of entanglement as a measure of entanglement, exclude the existence of maximally mixed entangled states. In the multipartite scenario, our conclusions allow us to generalize the idea of monogamy of entanglement: we establish the \textit{polygamy of entanglement}, expressing that if a general state is maximally entangled with respect to some kind of multipartite entanglement, then it is necessarily factorized of any other system.
Cite
@article{arxiv.quant-ph/0505121,
title = {Are all maximally entangled states pure?},
author = {Daniel Cavalcanti and Fernando G. S. L. Brandao and Marcelo O. Terra Cunha},
journal= {arXiv preprint arXiv:quant-ph/0505121},
year = {2013}
}
Comments
5 pages, 1 figure. Proof of theorem 3 corrected e new results concerning the asymptotic regime included