Detection Power of Separability Criteria Based on a Correlation Tensor: A Case Study

Abstract

Detection power of separability criteria based on a correlation tensor is tested within a family of generalized isotropic states in [Formula: see text]. For [Formula: see text] all these criteria are weaker than the positive partial transposition (PPT) criterion. Interestingly, our analysis supports the recent conjecture that a criterion based on symmetrically informationally complete positive operator-valued measure (SIC-POVMs) is stronger than realignment criterion.

On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States

“…In addition to that, we also observe that the generation of the mixed entangled states admits as reduced local states the maximally mixed state, and in this framework, our method can be also useful to certify the generation of a particular family of entangled states by defining a nonlocal witness that is also an entanglement witness [53][54][55][56].…”

Quantum information

“…the family of (linear) entanglement witnesses [199]. It was also demonstrated that the separability criteria based of the correlation tensor are weaker than positive partial transposition criterion [200].…”