/usr/lib/x86_64-linux-gnu/libconnectivity-qt1.so is in libconnectivity-qt1-dev 0.7.1+16.04.20160406.1-0ubuntu1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libconnectivity-qt1.so.1