In addition to the SDL binaries for Ubuntu 14.04 I now have the Qt binaries ready to download. You can find them on my dropbox archive.
The Qt binaries is compiled under Ubuntu 14.04 LTS, I cannot promise they will run under any other Linux flavor or Ubuntu release. You should be able to download, decompress and run the binary with only the Qt5 libraries needed to be installed. No installation of PPSSPP needed.