ive seen only 1 turbo 2-stroke in my life, it was a 500cc banshee out at glamis CA. The owner didnt seem to get it to run that great... Sounded SUPER nasty and had a very narrow power band...
secondly a 2-stroke needs the Expansion chamber to extract the gas's from the motor.. and a turbo would disrupt that theroy all together...
im not saying it cant be done, but it woudlnt run that great.. for one thing the piston on the up stroke draws air in thrugh the REED VALVE which is a one way valve. When the piston is going down the valve is closed and the air/fuel under the piston and crankcase is pressurized forceing the air up the transferports and back on top of the piston.... so if the turbo was spooled produceing boost it would open the reed valve ALL THE TIME when the piston is creating pressure on the down stroke to close it so basicly the turbo would FIGHT with motor. and haha just thought of that ^^
your best bet to make power with a 2-stroke is porting and a high compression head... and a high octane fuel to back up the high compression
andy