Detecting entanglement of unknown continuous variable states with random measurements

Autor: Mihaescu, Tatiana, Kampermann, Hermann, Gianfelici, Giulio, Isar, Aurelian, Bruss, Dagmar
Rok vydání: 2020
Předmět:
Zdroj: New Journal of Physics 22, 123041 (2020)
Druh dokumentu: Working Paper
Popis: 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.
Comment: 20 pages, 5 figures
Databáze: arXiv