Firstly, it is basically impossible or at least so much work that I can't personally imagine it (crank and cam position sensors, modifying the rotor, modifying the electrical system

)
Secondly, a properly set up carb engine will run better as a performance machine than a fuel injected one, in almost every way.
Fuel injection came about to meet emissions requirements and put a catalytic converter in road vehicles.
Ironic that people go cutting out their cats for performance but others want to add all that shit!
Fuel injection on bikes is 'dumb', there is no active feedback so you get no 'adaption' to the running state of the engine (changes in intake volumes with engine wear, temperatures etc). In a car you do, there are lambda sensors (OK, there are on the very latest bike for Euro 5, not on older GSXR) there are MAF sensors and manifold vacuum sensors. None of that on bikes, it is a fixed map and your engine probably ends up running richer and richer over its life as the engine wears. Not sure. Something like that.
F9 has a video on this subject;
Carburetor vs Fuel Injection - Why Motorcycle Riders Should Think Again
Carburetor vs Fuel Injection - Why Motorcycle Riders Should Think Again - YouTube