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 state in $d_1\otimes d_2$. For $d_1\ne d_2$ all these criteria are weaker than positive partial transposition (PPT) criterion. Interestingly, our analysis supports the recent conjecture that a criterion based on symmetrically informationaly complete positive operator-valued measure (SIC-POVMs) is stronger than realignment criterion.

References in corpus (5)

• Entanglement detection
• Covariance matrices and the separability problem
• Entanglement detection beyond the cross-norm or realignment criterion
• A family of multipartite separability criteria based on correlation tensor
• Separability and Entanglement of Quantum States Based on Covariance Matrices

Cited by in corpus (4)

• Quantum information
• A Family of Bipartite Separability Criteria Based on Bloch Representation of Density Matrices
• On the Fidelity Robustness of CHSH--Bell Inequality via Filtered Random States
• A unifying separability criterion based on extended correlation tensor