Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 16: Quantum Information (Concepts and Methods) III
Q 16.7: Talk
Tuesday, March 10, 2020, 15:30–15:45, e001
Statistical characterization of multipartite entanglement with moments of random correlations — •Tobias Nauck, Heinz-Peter Breuer, and Andreas Ketterer — Albert-Ludwigs-Universität Freiburg, Freiburg, Germany
Characterizing the entanglement of an unknown multipartite quantum state usually requires a number of appropriately chosen local measurements that are aligned with respect to a previously shared common reference frame. While such methods work well for small multipartite systems, they often become impractical with increasing number of involved constituents due to the exponentially growing Hilbert space dimension. In this talk we employ a statistical approach for the detection and characterization of multipartite entanglement based on moments of correlation functions obtained from a finite number of randomized measurements. In particular, we study the scaling of the required number of measurements needed to detect entanglement in the light of statistical inaccuracies and as a function of the number of involved parties.