Buckmasta's description is excellent -
however, one caveat - you will see HP loss, unless you increase boost to compensate. There is no magic bullet here - the air IS thinner, so it's either going to take more boost to move the same amount of oxygen into the cylinders, or you're going to have the same amount of boost, with less air being pushed.
However, it will be worlds better than a N/A engine. Further, a quick visit to a chiptuner, and the installation of a boost controlling device, should fix you right up. I'd be wary of tuning boxes at elevation, because they tip the fuel/air ratio more towards fuel, without the extra boost. Combine that with the absence of dense air, and the net effect is that you're overfuelling even more, so you'll have higher EGTs from two factors, not one.