I was cruising a physics forum on the topic of turbo charging and this was the resounding conclusion of their findings. Justin might want to school some of these guys.

Although this may sound wrong at first the exhaust pipe in a two stroke engine actually functions as if it is a cam shaft. In other words the shapes and length of the exhaust pipe will control the flow of the exhaust gas which in itself places some control over the intake mixture. Therefore a turbo charger will severely mess up a two stroke with the exception of some large diesel two stroke engines with limited power ranges.
But what can be done is a super charger! The basics involve a multi cylinder two stroke engine as one intake port really needs to be open at all times. It also helps to have a large intake air chamber after the blower so that the intake can be regular and smooth. You will also need a really good electronic fuel injection system as well as a custom ignition system.
But after you spend a fortune the question of why will leap out at you. Two strokes can be built to make more power than you would ever want to use without super chargers. Further what power they do make can be made really suddenly. Anyone who ever operated the old Kawasaki H2 750 three cylinder two stroke can tell you that the acceleration from zero to 100 mph was insane. If one wanted a straight six could be built by joining two of those engines in line. And you can easily drill them out to take larger pistons and racing crankshafts are still in the wild for these beasts. Such an engine would be about the same length as a four cylinder in most small cars. With full race expansion chambers people will hear you coming for several miles. I know first hand.