It has full 1080 output.

There are several ways, but as of now they all involves connecting over your HAN, and accessing either through File Sharing or using a 3rd party app like Orb Caster or something along those lines. I think someone just released a new app that sort of does that called Splashtop HD desktop controller. 4.99 in app world, though not too sure if that is what you are looking for.