Detecting entanglement of unknown continuous variable states with random measurements
Quantum Physics
2021-01-20 v1
Abstract
We explore the possibility of entanglement detection in continuous variable systems by entanglement witnesses based on covariance matrices, constructible from random homodyne measurements. We propose new linear constraints characterizing the entanglement witnesses based on second moments, and use them in a semidefinite program providing the optimal entanglement test for given random measurements. We test the method on the class of squeezed vacuum states and study the efficiency of entanglement detection in general unknown covariance matrices.
Cite
@article{arxiv.2007.05650,
title = {Detecting entanglement of unknown continuous variable states with random measurements},
author = {Tatiana Mihaescu and Hermann Kampermann and Giulio Gianfelici and Aurelian Isar and Dagmar Bruss},
journal= {arXiv preprint arXiv:2007.05650},
year = {2021}
}
Comments
20 pages, 5 figures