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 171 Yb + ion. Our test goes beyond the prepare-and-measure scheme of previous approaches, demonstrating the advantage of genuine temporal correlations.

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A robust optical clock was developed, integrated into two mobile 19” rack assemblies and based on the 2S1/2-2D3/2 transition of a single 171Yb+ ion. The system design and a first complete evaluation will be discussed.