Entanglement Witnesses Based on Symmetric Informationally Complete Measurements

Abstract

We study entanglement witness and present a construction of entanglement witnesses in terms of the symmetric informationally complete measurements (SIC-POVM). The capability of our witness is shown by some examples and it can be found this witness detects more entanglement than previous separability method given also by SIC-POVM. What's more, comparing with the dimension dependence of SIC-POVM, we also give the entanglement witnesses can be always constructed from general symmetric informationally complete measurements (GSIC-POVM).

References in corpus (8)

• Entanglement detection
• Covariance matrices and the separability problem
• Symmetric Informationally Complete Measurements of Arbitrary Rank
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Entanglement detection using mutually unbiased measurements
• Gisin's Theorem for Arbitrary Dimensional Multipartite States
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems
• Mutually unbiased measurement based entanglement witnesses