Not sure if I'd really classify what you're hearing as "quantizing," rather, it's granular affect which is essentially the internal DSP filling in the "gaps" caused by stretching linear audio it's processing beyond its relative means–a similar occurrence found with granular synthesis. I digress.
Back on topic, there's always going to be sonic artifacts when adjusting music in a destructive manner, in this case pitching up/down. The question is: when do these artifacts become noticeable for you (cite values)? Are they occurring with slight pitch adjustments or only when utilizing extreme settings? These specifics, in addition to some (audio samples) would really aid your chances for receiving proper assistance.
Also, because I have to ask, have you updated to the most recent firmware and do these artifacts occur on compressed and uncompressed songs?