Genuine temporal correlations can certify the quantum dimension
Cornelia Spee, Hendrik Siebeneich, Timm F. Gloger, Peter Kaufmann, M. Johanning, Matthias Kleinmann, Christof Wunderlich, Otfried Gühne · New Journal of Physics · 2020
Abstract Temporal correlations in quantum mechanics are the origin of several non-classical phenomena, but they depend on the dimension of the underlying quantum system. This allows one to use such correlations for the certification of a minimal Hilbert space dimension. Here we provide a theoretical proposal and an experimental implementation of a device-independent dimension test, using temporal correlations observed on a single trapped 171Yb+ ion. Our test goes beyond the prepare-and-measure scheme of previous approaches, demonstrating the advantage of genuine temporal correlations.