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QI: Fachverband Quanteninformation

QI 5: Entanglement Theory

QI 5.8: Talk

Monday, March 18, 2024, 17:15–17:30, HFT-FT 101

Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles — •Giuseppe Vitagliano¹, Matteo Fadel⁹, Iagoba Apellaniz², Matthias Kleinmann³, Bernd Lücke⁴, Carsten Klempt^4,5, and Geza Toth^2,6,7,8 — ¹Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Vienna 1020, Austria — ²UPV/EHU, ES-48080 Bilbao, Spain — ³Universität Siegen, DE-57068 Siegen, Germany — ⁴Leibniz Universität Hannover, DE-30167 Hannover, Germany — ⁵DLR-SI, DE-30167 Hannover, Germany — ⁶DIPC, ES-20080 San Sebastian, Spain — ⁷IKERBASQUE, ES-48011 Bilbao, Spain — ⁸Wigner Research Centre for Physics, HU-1525 Budapest, Hungary — ⁹ETH Zürich, CH-8093 Zürich, Switzerland

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., Quantum 7, 914 (2023)

Keywords: Entanglement theory; Uncertainty relations; Bose-Einstein Condensates