The length of a secure link over which a quantum key can be distributed
depends on the efficiency and dark-count rate of the detectors used at the
receiver. We report on the first demonstration of quantum key distribution
using transition-edge sensors with high efficiency and negligible dark-count
rates. Using two methods of synchronization, a bright optical pulse scheme and
an electrical signal scheme, we have successfully distributed key material at
1,550 nm over 50 km of optical fiber. We discuss how use of these detectors in
a quantum key distribution system can result in dramatic increases in range and
performance