  We demonstrate a compact frequency-stabilized laser at 1064 nm using
Doppler-free saturation absorption spectroscopy of molecular iodine. The
achieved laser frequency stability and linewidth are 5.7 10-12 (corresponding
to an uncertainty of the laser frequency of 1.6 kHz) and 400 kHz, respectively.
The developed frequency-stabilized laser can be used as a pump laser for
wavelength conversion from visible to telecom (or vice versa) to connect
quantum memories utilizing nitrogen-vacancy centers in diamond at remote nodes
in fiber-based quantum communication.
