I use my HP TouchPad 5.3V 2A charger to charge my Note 3 every night and it charges just as fast as the included one. I already have 4 of those TouchPad ones from my TouchPad and keep using them for everything since they're good high power chargers.
Sent from my SM-N900T using xda app-developers app
Samsung Galaxy Note 3 SM-900T 32GB
Samsung Galaxy Note SGH-i717 16GB
HP TouchPad 32GB
Archos 43 Internet Tablet - 16GB + 32GB mSD
Dell Axim X50v - 128MB + 16GB CF