If you have installed a package from a PPA, but then removed the PPA, I believe the files remain on the system. You can prove me right/wrong by executing the list statements below.
APT retrieves the packages and DPKG installs them. The packages themselves can be found on launchpad and you can see in the buildlog which files are included in the packages
https://launchpadlibrarian.net/194241587/buildlog_ubuntu-vivid-amd64.qtsixa_1.5.1+git20130130-0~vivid2_UPLOADING.txt.gz
Inside that buildlog, at the bottom, you will see lines that start with chroot which list all the files in the package
chroot-autobuild/build/buildd/sixad_1.5.1+git20130130-0~vivid2_amd64.deb:
drwxr-xr-x root/root 0 2015-01-07 14:18 ./var/lib/sixad/
-rwxr-xr-x root/root 26936 2015-01-07 14:18 ./usr/sbin/sixad-raw
-rwxr-xr-x root/root 6176 2015-01-07 14:18 ./usr/sbin/hidraw-dump
-rwxr-xr-x root/root 23048 2015-01-07 14:18 ./usr/sbin/sixad-bin
If qtsixa is still installed, you should have binaries starting with sixad in /usr/sbin and in /usr/share a directory with qtsixa
ls -la /usr/sbin/sixad*
ls -la /usr/share/qtsixa/
If none of these return anything, the application was removed. otherwise the buildlog contains all the file locations related to qtsixa.