/usr/lib/x86_64-linux-gnu/libQtWebKit.so is in libqtwebkit-dev 2.3.2-0ubuntu11.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libQtWebKit.so.4.10.2
/usr/lib/x86_64-linux-gnu/libQtWebKit.so.4.10.2