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QI: Fachverband Quanteninformation

QI 25: Quantum Entanglement II

QI 25.5: Talk

Thursday, March 9, 2023, 12:00–12:15, B302

Number-phase uncertainty relations and bipartite entanglement detection in spin ensemblesGiuseppe Vitagliano1,2, Matteo Fadel3,4, Iagoba Apellaniz2,5, Matthias Kleinmann6,2, Bernd Lücke7, Carsten Klempt7,8, and •Géza Tóth2,9,10,111Institute for Quantum Optics and Quantum Information, AT-1090 Vienna, Austria — 2UPV/EHU, ES-48080 Bilbao, Spain — 3ETH Zürich, CH-8093 Zürich, Switzerland — 4University of Basel, CH-4056 Basel, Switzerland — 5Mondragon Unibertsitatea, ES-20500 Mondragón, Spain — 6Universität Siegen, DE-57068 Siegen, Germany — 7Leibniz Universität Hannover, DE-30167 Hannover, Germany — 8Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR), Institut für Satellitengeodäsie und Inertialsensorik, DLR-SI, DE-30167 Hannover, Germany — 9DIPC, ES-20080 San Sebastián, Spain — 10IKERBASQUE, Basque Foundation for Science, ES-48011 Bilbao, Spain — 11Wigner RCP, HU-1525 Budapest, Hungary

We present a method to detect bipartite entanglement and EPR steering based on number-phase-like uncertainty relations in split spin ensembles. In particular, we show how to detect bipartite entanglement in an unpolarized Dicke state of many spin-1/2 particles. We demonstrate the utility of the criteria by applying them to a recent experiment given in K. Lange et al. [Science 360, 416 (2018)]. Our methods also work well if split spin-squeezed states are considered. We discuss how to handle experimental imperfections.

[1] G. Vitagliano et al., arXiv:22104.05663.

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