  We show that the expectation value of squared correlations measured along
random local directions is an identifier of quantum entanglement in pure states
which can be directly experimentally assessed if two copies of the state were
available. Entanglement can therefore be detected by parties who do not share a
common reference frame and whose local reference frames, such as polarisers or
Stern-Gerlach magnets, remain unknown. Furthermore, we also show that in every
experimental run access to only one qubit from the macroscopic reference is
sufficient to identify entanglement, violate a Bell inequality, and in fact
observe all phenomena observable with macroscopic references. Finally, we
provide a state-independent entanglement witness solely in terms of random
correlations and emphasise how data gathered for a single random measurement
setting per party reliably detects entanglement. This is only possible due to
utilised randomness and should find practical applications in experimental
confirmation of multi-photon entanglement or space experiments.
