Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 3: Quantum Information (Concepts and Methods) I
Q 3.5: Talk
Monday, March 9, 2020, 12:15–12:30, e001
Detecting entanglement of unknown continuous variable states with random measurements — Tatiana Mihaescu1,2, Hermann Kampermann1, •Giulio Gianfelici1, Aurelian Isar2,3, and Dagmar Bruß1 — 1Heinrich-Heine-Universität Düsseldorf, Institut für Theoretische Physik III, D-40225 Düsseldorf, Germany — 2Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, RO-077125 Bucharest-Magurele, Romania — 3Faculty of Physics, University of Bucharest, RO-077125 Bucharest-Magurele, Romania
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 programme 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.