  We report a fully fibered source emitting cross time-bin entangled photons at
1540 nm from type-II spontaneous parametric down conversion. Compared to
standard time-bin entanglement realizations, the preparation interferometer
requires no phase stabilization, simplifying its implementation in quantum key
distribution experiments. Franson/Bell-type tests of such a cross time-bin
state are performed and lead to two-photon interference raw visibilities
greater than 95%, which are only limited by the dark-counts in the detectors
and imperfections in the analysis system. Just by trusting the randomness of
the beam-splitters, the correlations generated by the source can be proved of
non-classical origin even in a passive implementation. The obtained results
confirm the suitability of this source for time-bin based quantum key
distribution.
