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Q: Fachverband Quantenoptik und Photonik
Q 3: Quantum Information (Concepts and Methods) I
Q 3.4: Vortrag
Montag, 9. März 2020, 12:00–12:15, e001
Chracterizing multipartite entanglement with moments of random correlations — •Andreas Ketterer1,2, Nikolai Wyderka2, and Otfried Gühne2 — 1Albert-Ludwigs Universität Freiburg, Freiburg, Germany — 2Universität Siegen, Siegen, Germany
The trustworthy detection of multipartite entanglement usually requires a number of appropriately chosen local quantum measurements which are aligned with respect to a previously shared common reference frame. The latter, however, can be a challenging prerequisite, e.g., for satellite-based photonic quantum communication, making the development of alternative detection strategies desirable. In order to avoid the distribution of classical reference frames we follow a statistical treatment and show how to characterize multipartite entanglement with moments of correlation functions obtained from locally randomized measurements. To do so, we make use of spherical designs which link entanglement criteria based on moments to ordinary reference frame independent ones. The strengths of our methods are illustrated in various cases, starting with two qubits and followed by more involved multipartite scenarios.
[1] A. Ketterer, N. Wyderka, and O. Gühne, Phys. Rev. Lett. 122, 120505 (2019)