PreprintarXiv licencearXiv
Separability and lower bounds of concurrence via symmetric measurement correlations
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.
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BibTeX
@misc{xie2026separability,
title = {{Separability and lower bounds of concurrence via symmetric measurement correlations}},
author = {Yuhang Xie and Yanjun Chu and Shao-Ming Fei},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07727},
eprint = {2611.07727},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07727},
}
RIS
TY - UNPB
TI - Separability and lower bounds of concurrence via symmetric measurement correlations
AU - Yuhang Xie
AU - Yanjun Chu
AU - Shao-Ming Fei
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07727
UR - https://arxiv.org/abs/2611.07727
AB - 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.
ER -