Optimality for indecomposable entanglement witnesses
Quantum Physics
2012-09-10 v1 Operator Algebras
Abstract
We examine various notions related with the optimality for entanglement witnesses arising from Choi type positive linear maps. We found examples of optimal entanglement witnesses which are non-decomposable, but which are not `non-decomposable optimal entanglement witnesses' in the sense of [M. Lewenstein, B. Kraus, J. Cirac, and P. Horodecki, Phys. Rev. A 62, 052310 (2000)]. We suggest to use the term `PPTES witness' and `optimal PPTES witness' in the places of `non-decomposable entanglement witness' and `non-decomposable optimal entanglement witnesses' in order to avoid possible confusion. We also found examples of non-extremal optimal entanglement witnesses which are indecomposable.
Keywords
Cite
@article{arxiv.1204.6596,
title = {Optimality for indecomposable entanglement witnesses},
author = {Kil-Chan Ha and Seung-Hyeok Kye},
journal= {arXiv preprint arXiv:1204.6596},
year = {2012}
}
Comments
5 pages, 1 figure, 1 table