Construction of multi-qubit optimal genuine entanglement witnesses
Quantum Physics
2016-04-20 v2
Abstract
We interpret multi-partite genuine entanglement witnesses as simultaneous positivity of various maps arising from them. We apply this result to multi-qubit {\sf X}-shaped Hermitian matrices, and characterize the conditions for them to be genuine entanglement witnesses, in terms of entries. Furthermore, we find all optimal ones among them. They turn out to have the spanning properties, and so they detect non-zero volume set of multi-qubit genuine entanglement. We also characterize decomposability for {\sf X}-shaped entanglement witnesses.
Keywords
Cite
@article{arxiv.1510.03620,
title = {Construction of multi-qubit optimal genuine entanglement witnesses},
author = {Kyung Hoon Han and Seung-Hyeok Kye},
journal= {arXiv preprint arXiv:1510.03620},
year = {2016}
}
Comments
17 pages, to appear in Journal of Physics A: Mathematical and Theoretical