Data from: Experimental sample-efficient and device-independent GHZ state certification

The certification of quantum resources is a critical tool in the
development of quantum information processing. In particular, quantum
state verification is a fundamental building block for communication and
computation applications, determining whether the involved parties can
trust the resources at hand or whether the application should be aborted.
Self-testing methods have been used to tackle such verification tasks in a
device-independent (DI) setting. However, these approaches commonly
consider the limit of large (asymptotic), identically and independently
distributed (IID) samples, which weakens the DI claim and poses serious
challenges to their experimental implementation. Here, we overcome these
challenges by adopting a theoretical protocol enabling the certification
of quantum states in the few-copies and non-IID regime and by leveraging a
high-fidelity multipartite entangled photon source. This allows us to show
the efficient and device-independent certification of a single copy of a
four-qubit GHZ state that can readily be used for the robust and reliable
implementation of quantum information tasks. This contains the dataset
required to shown the non IID certification of a GHZ state.