No, quick charge 2 can work with normal micro usb. The Z2 tablet does support quick charge 2 but I haven't been able to confirm it on theZ2 smartphone yet.
I have a 2.0 charger (picked it up on Amazon) because I thought it was compatible. Seems the tablet is but not the phone. Either way the charger does charge very fast but not 2.0 fast. You should know that the quality of cable does count. I've had a few cheapo ones and always have better luck with OEM ones. (seems there is something in the charging head that determines how much to "pull" from the wall socket)