Entanglement certification from moments of positive maps
Quantum Physics
2025-08-14 v1
Abstract
Entanglement certification is crucial in physical experiments, particularly when only partial knowledge of the quantum state is available. In this context, we present an entanglement criterion based on positive but not completely positive maps, which eliminates the need to identify eigenvalues of the output state. Notably, the Faddeev-LeVerrier algorithm establishes a relationship between the coefficients of characteristic polynomials and the moments of a matrix. This enables the existence of negative eigenvalues through the moments of the output state. The effectiveness of our criterion relies on the selection of positive maps, similar to the original positive maps criterion.
Keywords
Cite
@article{arxiv.2508.09766,
title = {Entanglement certification from moments of positive maps},
author = {Qing-Hua Zhang and Xiaoyu Ma and Shao-Ming Fei},
journal= {arXiv preprint arXiv:2508.09766},
year = {2025}
}