SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 25: Quantum Entanglement II
QI 25.1: Talk
Thursday, March 9, 2023, 11:00–11:15, B302
Quantifying multiparticle entanglement with randomized measurements — Sophia Ohnemus1, Heinz-Peter Breuer1,2, and •Andreas Ketterer1,2,3 — 1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, 79104, Freiburg, Germany — 2EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, 79104, Freiburg, Germany — 3Fraunhofer Institut für Angewandte Festkörperphysik IAF, Tullastr. 72, 79108 Freiburg, Germany
Randomized measurements constitute a simple measurement primitive that exploits the information encoded in the outcome statistics of samples of local quantum measurements defined through randomly selected bases. In this work we exploit the potential of randomized measurements in order to probe the amount of entanglement contained in multiparticle quantum systems as quantified by the multiparticle concurrence. We further present a detailed statistical analysis of the underlying measurement resources required for a confident estimation of the introduced quantifiers using analytical tools from the theory of random matrices. The introduced framework is demonstrated by a series of numerical experiments analyzing the concurrence of typical multiparticle entangled states as well as of ensembles of output states produced by random quantum circuits under the influence of noisy gate operations.