Someone please create a Ubuntu version of this emulator.

[xsacha]

I guess you have no clue how Linux works or anything like that.

Quick run down:
The exe format on Linux is ELF. The files have no extension. On windows, you might have PPSSPP.exe, on Linux that would just be PPSSPP.
A .deb is just an installer that contains the files (like PPSSPP) you will need.
The reason you don't see an installable binary is there is about 382742987 different Linux distributions and it would be impossible to have a package for all of them. Instead, projects rely on it being incredibly simple to compile stuff on Linux (just do 'cmake' and then 'make').

However, there usually is builds for Ubuntu because 1) it's so popular and 2) many of its users don't understand Linux.

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Here, I compiled PPSSPPQt for Ubuntu 12.10 64-bit.
http://www.mediafire.com/?dfnq5alpwqlr2pa

I hope your Ubuntu is the same.

You will need to: sudo apt-get install libqt4-core libqt4-gui libqt4-opengl
Then just run PPSSPPQt

And the Qt version can't use keyboard yet (designed for mobile devices), so you'll have to resort to mouse.