Entanglement witnesses arising from Choi type positive linear maps
Kil-Chan Ha, Seung-Hyeok Kye · Journal of Physics A Mathematical and Theoretical · 2012
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.