[definataly]

>> can not eaves drop

More precisely, it is possible to know if someone is eavesdropping and halt the key sharing.

QKD does not prevent it, but has a provable method to know that someone is listening (statistics of the measurements change).

[guyomes]

> QKD does not prevent it, but has a provable method to know that someone is listening

Unless some breakthrough in physics of particles, where all is not fully understood yet. A bit like standard cryptographic protocol are safe unless some breakthrough in mathematics or computer science.