OSD Witnesses for Bipartite States

Sophia Denker

Lili Liu

Based on the existing conclusions on entanglement witness of bipartite states,entanglement witnesses of bipartite quantum states are further discussed.Firstly,in light of a decomposition of a self-adjoint operator,characterization of an entanglement witness is given,and some properties of entanglement witnesses are proved.An example is taken to illustrate the judgment of optimal entanglement witness.Finally,the optimal entanglement witnesses are discussed and a judgment of optimal indecomposable entanglement witness is presented.

A. Saguia, C. C. Rulli, Thiago Rodrigues de Oliveira +2 more

Jun‐Li Li, Cong‐Feng Qiao

Changchun Feng, Lin Chen, Chang Liang Xu +1 more

Entanglement witnesses (EWs) are a fundamental tool for the detection of entanglement. We investigate the inertia of bipartite EWs constructed by the partial transpose of NPT states. Furthermore, we find out most of the inertia of the partial transpose of the two-qutrit bipartite NPT states. As an application, we extend our results to high-dimensional states.

Ying Yang, Huaixin Cao