Rostock 2019 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 44: Quantum Information (Concepts and Methods) III

Q 44.5: Talk

Thursday, March 14, 2019, 11:30–11:45, S HS 001 Chemie

Experimental implementation of a device-independent dimension test using genuine temporal correlations — •Hendrik Siebeneich, Cornelia Spee, Timm Florian Gloger, Peter Kaufmann, Michael Johanning, Matthias Kleinmann, Otfried Gühne, and Christoph Wunderlich — Department Physik, Universität Siegen, 57068 Siegen, Germany

Temporal correlations that appear in sequential measurements of a quantum system depend on the system’s dimension. Exploiting this property, a device-independent measurement scheme has been devised that witnesses the dimension of the quantum system through the violation of temporal inequalities [1]. Using the hyperfine manifold of a single ¹⁷¹Yb⁺ ion stored in a micro-structured 3D linear Paul trap [2], we observe temporal correlations between sequential measurements of hyperfine states and the violation of the above-mentioned inequalities. This serves to certify a lower bound for the dimension of the qauntum system used in these experiments [3]. Extending measurement sequences to length three, we further show, that the genuine temporal correlation scheme goes beyond the prepare-and-measure schemes.
J. Hoffmann, C. Spee, O. Gühne and C. Budroni, New J. Phys. 20, 102001 (2018).
P. Kaufmann, T. F. Gloger, D. Kaufmann, M. Johanning and Ch. Wunderlich, Physical Review Letters 120, 010501 (2018)
C. Spee, H. Siebeneich, T. Gloger, P. Kaufmann, M. Johanning, C. Wunderlich, M. Kleinmann and O. Gühne, arXiv:1811.12259v1 [quant-ph].