Separability and lower bounds of concurrence via symmetric measurement correlations

arXiv:2611.07727v1 Announce Type: new Abstract: The detection and quantification of quantum entanglement is a central issue in quantum information science, particularly for unknown quantum states. Based on symmetric measurement correlation matrices, we present a family of separability criteria that can be experimentally applied without state tomography, and recover some related existing criteria as special cases. Using the constructed correlation matrices, we further derive a class of lower bounds of concurrence. Through illustrative examples, we demonstrate that our criteria outperform some existing separability criteria in entanglement detection, and that the obtained lower bounds on concurrence are tighter than known counterparts.