In this thesis, the certification of quantum resources is discussed. This is crucial for the development of new quantum technologies and consequently for the implementation of quantum protocols. In particular, the connections between measure-and-prepare scenarios and entanglement-based scenarios are utilised.

First, measurement incompatibility is investigated in the context of dimension-bounded prepare-and-measure scenarios. Its connection to specific entanglement-based scenarios is explicitly established.

Second, the dimensionality of quantum channels is witnessed in a prepare-and-measure setting. The benchmarking methods are developed by leveraging the isomorphism between bipartite states and channels. They are implemented in an experimental collaboration to certify the dimensionality of commercial multimode fibres.

Third, states and measurements are certified using quantum networks. The network formalism is significantly simplified by describing it in terms of local maps, thus facilitating the development of a range of benchmarking criteria and the derivation of an activation result.

Finally, the practical limitations affecting certification methods is addressed. In particular, methods are presented to treat signalling, which is not taken into account by traditional quantum theory.