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QI: Fachverband Quanteninformation

QI 3: Quantum Information and Foundations I

QI 3.6: Talk

Monday, September 20, 2021, 15:45–16:00, H4

Bound entanglement from randomized measurements — Satoya Imai¹, •Nikolai Wyderka², Andreas Ketterer^3,4, and Otfried Gühne¹ — ¹Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany — ²Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, D-40225 Düsseldorf, Germany — ³Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany — ⁴EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany

In scenarios with limited control over multipartite quantum states, randomized measurements provide a powerful tool to characterize quantum correlations. To that end, we analyze the moments of the resulting probability distribution in a systematic way and show (near-)optimal criteria to detect entanglement in different scenarios of bipartite and tripartite systems. In particular, we analyze the geometry of the space of higher-dimensional bipartite quantum systems in order to derive explicit criteria that are able to detect bound entanglement, a very weak form of entanglement, in this setting.