Entanglement witnesses arising from Choi type positive linear maps

Kil-Chan Ha; Seung-Hyeok Kye

doi:10.1088/1751-8113/45/41/415305

Entanglement witnesses arising from Choi type positive linear maps

Quantum Physics 2015-06-05 v1 Operator Algebras

Authors: Kil-Chan Ha , Seung-Hyeok Kye

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Abstract

We construct optimal PPTES witnesses to detect $3\otimes 3$ PPT entangled edge states of type $(6,8)$ constructed recently \cite{kye_osaka}. To do this, we consider positive linear maps which are variants of the Choi type map involving complex numbers, and examine several notions related to optimality for those entanglement witnesses. Through the discussion, we suggest a method to check the optimality of entanglement witnesses without the spanning property.

Keywords

entanglement witnesses PPT entangled edge states Choi type positive linear maps optimal PPTES witnesses spanning property positive linear maps quantum entanglement

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@article{arxiv.1205.2921,
  title  = {Entanglement witnesses arising from Choi type positive linear maps},
  author = {Kil-Chan Ha and Seung-Hyeok Kye},
  journal= {arXiv preprint arXiv:1205.2921},
  year   = {2015}
}

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18 pages, 4 figures, 1 table

Entanglement witnesses arising from Choi type positive linear maps

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