Optimal indecomposable witnesses without extremality as well as spanning property
Quantum Physics
2015-06-05 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
One of the interesting problems on optimal indecomposable entanglement witnesses is whether there exists an optimal indecomposable witness which neither has the spanning property nor is associated with extremal positive linear map. Here, we answer this question negatively by examining the extremality of the positive linear maps constructed by Qi and Hou [J. Phys. A {\bf 44}, 215305 (2100)].
Keywords
Cite
@article{arxiv.1206.0504,
title = {Optimal indecomposable witnesses without extremality as well as spanning property},
author = {Kil-Chan Ha and Hoseog Yu},
journal= {arXiv preprint arXiv:1206.0504},
year = {2015}
}
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17 pages