  The use of optical clocks/oscillators in future ultra-precise navigation,
gravitational sensing, coherent arrays, and relativity experiments will require
time comparison and synchronization over terrestrial or satellite free-space
links. Here we demonstrate full unambiguous synchronization of two optical
timescales across a free-space link. The time deviation between synchronized
timescales is below 1 fs over durations from 0.1 s to 6500 s, despite
atmospheric turbulence and kilometer-scale path length variations. Over several
days, the time wander is 40 fs peak-to-peak. Our approach relies on the two-way
reciprocity of a single-spatial-mode optical link, valid to below 225
attoseconds across a turbulent 4-km path. This femtosecond level of
time-frequency transfer should enable optical networks using state-of-the-art
optical clocks/oscillators.
