We report on an experimental test of classical and quantum dimension. We have used a dimension witness which can distinguish between quantum and classical systems of dimension 2,3 and 4 and performed the experiment for all five cases. The witness we have chosen is a base of semi-device independent cryptographic and randomness expansion protocols. Therefore, the part of the experiment, in which qubits were used, is a realization of these protocols. In our work we also present an analytic method for finding the maximal quantum value of the witness along with corresponding measurements and preparations. This method is quite general and can be applied to any linear dimension witness.
@article{arxiv.1309.5339,
title = {Experimental Tests of Classical and Quantum Dimensions},
author = {Johan Ahrens and Piotr Badziag and Marcin Pawlowski and Marek Zukowski and Mohamed Bourennane},
journal= {arXiv preprint arXiv:1309.5339},
year = {2015}
}