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QI: Fachverband Quanteninformation
QI 10: Certification and Benchmarking of Quantum Systems
QI 10.5: Talk
Thursday, September 23, 2021, 11:45–12:00, H5
Certifying multiparticle entanglement with randomized measurements — •Andreas Ketterer1, Satoya Imai2, Nikolai Wyderka3, and Otfried Gühne2 — 1University of Freiburg, Freiburg, Germany — 2University of Siegen, Siegen, Germany — 3Heinrich Heine University Düsseldorf, Düsseldorf, Germany
We consider statistical methods based on finite samples of locally randomized measurements in order to certify different degrees of multiparticle entanglement in intermediate-scale quantum systems. We first introduce hierarchies of multi-qubit criteria satisfied by states which are separable with respect to partitions of different size, involving only second moments of the underlying probability distribution. Then, we analyze in detail the statistical error of the estimation in experiments and show how to infer the statistical significance based on large deviation bounds. In this way we are able to characterize the measurement resources required for the certification of multiparticle correlations, as well as to analyze given experimental data.