  It is well known that temperature variations and acoustic noise affect
ultrastable frequency dissemination along optical fiber. Active stabilization
techniques are in general adopted to compensate for the fiber-induced phase
noise. However, despite this compensation, the ultimate link performances
remain limited by the so called delay-unsuppressed fiber noise that is related
to the propagation delay of the light in the fiber. In this paper, we
demonstrate a data post-processing approach which enables us to overcome this
limit. We implement a subtraction algorithm between the optical signal
delivered at the remote link end and the round-trip signal. In this way, a 6 dB
improvement beyond the fundamental limit imposed by delay-unsuppressed noise is
obtained. This result enhances the resolution of possible comparisons between
remote optical clocks by a factor of 2. We confirm the theoretical prediction
with experimental data obtained on a 47 km metropolitan fiber link, and propose
how to extend this method for frequency dissemination purposes as well.
