Just to help clarify things a bit guys. The Note 3 DOES NOT SUPPORT FASTER CHARGING JUST BECAUSE IT'S USB 3.0. Sorry about the caps, but it seems to get a lot of people confused.
Yes, USB 3.0 allows for faster charging. No, it doesn't mean that the Note 3 charges faster because of it. Why? The supplied charger has an output rating of 2 Amps, which is what the Note 3 will take and what will actually dictate how fast it charges, so using any 2A charger will charge your phone at the same speed. Then why the whole USB 3 hullaballoo? That has to do with the port in your computer, NOT the phone. USB 2.0 ports can output a 500mA max, but this has increased to 900mA in USB 3 (powered USB is higher, but that's another story), so the faster charging actually depends on the computer port you're connecting your phone to. Even the cable won't matter, as you can use the USB 3 or the USB 2 cable on the supplied charger (2A) and it will charge your phone just as fast.