There's a reason why there is no factory built turbo 2 stroke engines - it doesn't work. It may work on 2S diesel engines - but that's a whole different animal.
A two stroke engine uses crankcase pressure to "blow" the fuel/air mixture into the combustion chamber. When the piston goes up, low pressure is created in the crankcase which sucks air through the carbs and into the crankcase. Then, as the piston starts coming down, airflow into the crankcase is shut off. This is usually done with reed valves in snowmobiles. This puts high pressure in the crankcase, and when the piston gets low enough to open the ports, the charge in the crankcase gets blown into the combustion chamber - which also blows the previous charge (which is now exhaust) out the exhaust pipe. Port timing is crucial here, because you want the piston coming up and shutting off the exhaust port when all of the exhaust leaves the combustion chamber, but before the fresh charge starts leaving.
Now, if you add a turbo to a reed valve engine, the reed will not be allowed to close when the piston starts coming down. You will have much higher pressure in the crank case when the intake port opens. The pressure will immediately blow all the exhaust out of the combustion chamber and start blowing alot of fuel down the exhaust pipe before the exhaust port closes.
You may get a little increase in performance since all of the spent exhaust gasses will be out of the combustion chamber, but it will be at the cost of alot of wasted fuel. You'd be better of increasing your port sized and maybe changing your port timing.
If you are not running a reed valve engine and have a rotating crankshaft valve, you will see absolutely no difference with a turbo - other than the added weight and complexity.