  We present an adaptive procedure for aligning quantum non-locality
experiments without any knowledge of the two-qudit state shared by the
participating parties. The quantum state produced by the source, its unitary
evolution as well as the actual measurement bases remain unknown to both
parties at all times. The entanglement of the quantum state helps establish
desired correlations between individual measurement bases of the two distant
parties. We implement the procedure in a fiber-based quantum key distribution
(QKD) setup with polarization-entangled photons, where we do not rely on any
additional alignment tools such as lasers or polarizers. In a QKD scenario the
procedure can be done without any additional measurements as those that are
performed regardless.
