Optimal PPTES witnesses for states in $\mathbb C^n\otimes \mathbb C^n$
Quantum Physics
2012-07-25 v1 Operator Algebras
Abstract
Recently, X. Qi and J. Hou [Phys. Rev. A 85, 022334 (2012)] provided optimal entanglement witnesses without the spanning property. These witnesses are associated to indecomposable positive linear maps, but it is not checked whether partial transposes of these witnesses are also optimal. We show that partial transposes of these entanglement witnesses have spanning property, and these witnesses are indeed optimal PPTES witnesses (non-decomposable optimal entanglement witnesses).
Keywords
Cite
@article{arxiv.1205.0592,
title = {Optimal PPTES witnesses for states in $\mathbb C^n\otimes \mathbb C^n$},
author = {Kil-Chan Ha},
journal= {arXiv preprint arXiv:1205.0592},
year = {2012}
}
Comments
3 pages